Integrating 21st century skills into education systems: From rhetoric to reality

Subscribe to the center for universal education bulletin, ramya vivekanandan rv ramya vivekanandan senior education specialist, learning assessment systems - gpe secretariat.

February 14, 2019

This is the third post in a series about  education systems alignment in teaching, learning, and assessing 21st century skills .

What does it mean to be a successful learner or graduate in today’s world? While in years past, a solid acquisition of the “three Rs” (reading, writing, and arithmetic) and mastery in the core academic subjects may have been the measure of attainment, the world of the 21 st century requires a radically different orientation. To participate effectively in the increasingly complex societies and globalized economy that characterize today’s world, students need to think critically, communicate effectively, collaborate with diverse peers, solve complex problems, adopt a global mindset, and engage with information and communications technologies, to name but just a few requirements. The new report from Brookings, “ Education system alignment for 21st century skills: Focus on assessment ,” illuminates this imperative in depth.

Recognizing that traditional education systems have generally not been preparing learners to face such challenges, the global education community has increasingly talked about and mobilized in favor of the changes required. This has resulted in a suite of initiatives and research around the broad area of “21st century skills,” which culminated most notably with the adoption of Sustainable Development Goal 4 and the Education 2030 agenda, including Target 4.7, which commits countries to ensure that learners acquire knowledge and skills in areas such as sustainable development, human rights, gender equality, global citizenship, and others.

In this landscape, Global Partnership for Education (GPE) has a core mandate of improving equity and learning by strengthening education systems. GPE supports developing countries, many of which are affected by fragility and conflict, to develop and implement robust education sector plans. Depending on the country, GPE implementation grants support a broad range of activities including teacher training, textbook provision, interventions to promote girls’ education, incentives for marginalized groups, the strengthening of data and learning assessment systems, early childhood education, and many other areas.

This work is buttressed by thematic work at the global level, including in the area of learning assessment. The strengthening of learning assessment systems is a strategic priority for GPE because of its relevance to both improving learning outcomes and ensuring effective and efficient education systems, which are two of the three key goals of the GPE strategic plan for the 2016-2020 period . The work on learning assessment includes the Assessment for Learning (A4L) initiative, which aims to strengthen learning assessment systems and to promote a holistic measurement of learning.

Under A4L, we are undertaking a landscape review on the measurement of 21st century skills, using a definition derived from Binkley et. al . and Scoular and Care :

“21st century skills are tools that can be universally applied to enhance ways of thinking, learning, working and living in the world. The skills include critical thinking/reasoning, creativity/creative thinking, problem solving, metacognition, collaboration, communication and global citizenship. 21st century skills also include literacies such as reading literacy, writing literacy, numeracy, information literacy, ICT [information and communications technologies] digital literacy, communication and can be described broadly as learning domains.”

Using this lens, the landscape review examines the research literature, the efforts of GPE partners that have been active in this space, and data collected from a sample of countries in sub-Saharan Africa and Asia in regard to the assessment of these skills. These research efforts were led by Brookings and coordinated by the UNESCO offices in Dakar and Bangkok. As another important piece of this work, we are also taking stock of the latest education sector plans and implementation grants of these same countries (nine in sub-Saharan Africa and six in Asia), to explore the extent to which the integration of 21st century skills is reflected in sector plans and, vitally, in their implementation.

Though the work is in progress, the initial findings provide food for thought. Reflecting the conclusions of the new report by Brookings, as well as its earlier breadth of work on skills mapping, a large majority of these 15 countries note ambitious objectives related to 21st century skills in their education sector plans, particularly in their vision or mission statements and/or statements of policy priorities. “Skills” such as creativity and innovation, critical thinking, problem-solving, decisionmaking, life and career skills, citizenship, personal and social responsibility, and information and communications technology literacy were strongly featured, as opposed to areas such as collaboration, communication, information literacy, and metacognition.

However, when we look at the planned interventions noted in these sector plans, there is not a strong indication that countries plan to operationalize their intentions to promote 21st century skills. Not surprisingly then, when we look at their implementation grants, which are one of the financing instruments through which education sector plans are implemented, only two of the 15 grants examined include activities aimed at promoting 21st century skills among their program components. Because the GPE model mandates that national governments determine the program components and allocation of resources for these within their grant, the bottom line seems to echo the findings of the Brookings report: vision and aspiration are rife, but action is scarce.

While the sample of countries studied in this exercise is small (and other countries’ education sector plans and grants may well include integration of 21st century skills), it’s the disconnect between the 15 countries’ policy orientation around these skills and their implementation that is telling. Why this gap? Why, if countries espouse the importance of 21st century skills in their sector plans, do they not concretely move to addressing them in their implementation? The reasons for this may be manifold, but the challenges highlighted by the Brookings report in terms of incorporating a 21 st century learning agenda in education systems are indeed telling. As a field, we still have much work to do to understand the nature of these skills, to develop learning progressions for them, and to design appropriate and authentic assessment of them. In other words, it may be that countries have difficulty in imagining how to move from rhetoric to reality.

However, in another perspective, there may be a challenge associated with how countries (and the broader education community) perceive 21st century skills in general. In contexts of limited resources, crowded curricula, inadequately trained teachers, fragility, weak governance, and other challenges that are characteristic of GPE partner countries, there is sometimes an unfortunate tendency to view 21st century skills and the “basics” as a tradeoff. In such settings, there can be a perception that 21st century skills are the concern of more advanced or higher-income countries. It is thus no wonder that, in the words of the Brookings report, “a global mobilization of efforts to respond to the 21CS [21st century skills] shift is non-existent, and individual countries struggle alone to plan the shift.”

This suggests that those who are committed to a holistic view of education have much work to do in terms of research, sharing of experience, capacity building, and advocacy around the potential and need for all countries, regardless of context, to move in this direction. The Brookings report makes a very valuable contribution in this regard. GPE’s landscape review, which will be published this spring, will inform how the partnership thinks about and approaches 21st century skills in its work and will thereby provide a complementary perspective.

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Classroom Q&A

With larry ferlazzo.

In this EdWeek blog, an experiment in knowledge-gathering, Ferlazzo will address readers’ questions on classroom management, ELL instruction, lesson planning, and other issues facing teachers. Send your questions to [email protected]. Read more from this blog.

Eight Instructional Strategies for Promoting Critical Thinking

critical thinking and problem solving in literacy

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(This is the first post in a three-part series.)

The new question-of-the-week is:

What is critical thinking and how can we integrate it into the classroom?

This three-part series will explore what critical thinking is, if it can be specifically taught and, if so, how can teachers do so in their classrooms.

Today’s guests are Dara Laws Savage, Patrick Brown, Meg Riordan, Ph.D., and Dr. PJ Caposey. Dara, Patrick, and Meg were also guests on my 10-minute BAM! Radio Show . You can also find a list of, and links to, previous shows here.

You might also be interested in The Best Resources On Teaching & Learning Critical Thinking In The Classroom .

Current Events

Dara Laws Savage is an English teacher at the Early College High School at Delaware State University, where she serves as a teacher and instructional coach and lead mentor. Dara has been teaching for 25 years (career preparation, English, photography, yearbook, newspaper, and graphic design) and has presented nationally on project-based learning and technology integration:

There is so much going on right now and there is an overload of information for us to process. Did you ever stop to think how our students are processing current events? They see news feeds, hear news reports, and scan photos and posts, but are they truly thinking about what they are hearing and seeing?

I tell my students that my job is not to give them answers but to teach them how to think about what they read and hear. So what is critical thinking and how can we integrate it into the classroom? There are just as many definitions of critical thinking as there are people trying to define it. However, the Critical Think Consortium focuses on the tools to create a thinking-based classroom rather than a definition: “Shape the climate to support thinking, create opportunities for thinking, build capacity to think, provide guidance to inform thinking.” Using these four criteria and pairing them with current events, teachers easily create learning spaces that thrive on thinking and keep students engaged.

One successful technique I use is the FIRE Write. Students are given a quote, a paragraph, an excerpt, or a photo from the headlines. Students are asked to F ocus and respond to the selection for three minutes. Next, students are asked to I dentify a phrase or section of the photo and write for two minutes. Third, students are asked to R eframe their response around a specific word, phrase, or section within their previous selection. Finally, students E xchange their thoughts with a classmate. Within the exchange, students also talk about how the selection connects to what we are covering in class.

There was a controversial Pepsi ad in 2017 involving Kylie Jenner and a protest with a police presence. The imagery in the photo was strikingly similar to a photo that went viral with a young lady standing opposite a police line. Using that image from a current event engaged my students and gave them the opportunity to critically think about events of the time.

Here are the two photos and a student response:

F - Focus on both photos and respond for three minutes

In the first picture, you see a strong and courageous black female, bravely standing in front of two officers in protest. She is risking her life to do so. Iesha Evans is simply proving to the world she does NOT mean less because she is black … and yet officers are there to stop her. She did not step down. In the picture below, you see Kendall Jenner handing a police officer a Pepsi. Maybe this wouldn’t be a big deal, except this was Pepsi’s weak, pathetic, and outrageous excuse of a commercial that belittles the whole movement of people fighting for their lives.

I - Identify a word or phrase, underline it, then write about it for two minutes

A white, privileged female in place of a fighting black woman was asking for trouble. A struggle we are continuously fighting every day, and they make a mockery of it. “I know what will work! Here Mr. Police Officer! Drink some Pepsi!” As if. Pepsi made a fool of themselves, and now their already dwindling fan base continues to ever shrink smaller.

R - Reframe your thoughts by choosing a different word, then write about that for one minute

You don’t know privilege until it’s gone. You don’t know privilege while it’s there—but you can and will be made accountable and aware. Don’t use it for evil. You are not stupid. Use it to do something. Kendall could’ve NOT done the commercial. Kendall could’ve released another commercial standing behind a black woman. Anything!

Exchange - Remember to discuss how this connects to our school song project and our previous discussions?

This connects two ways - 1) We want to convey a strong message. Be powerful. Show who we are. And Pepsi definitely tried. … Which leads to the second connection. 2) Not mess up and offend anyone, as had the one alma mater had been linked to black minstrels. We want to be amazing, but we have to be smart and careful and make sure we include everyone who goes to our school and everyone who may go to our school.

As a final step, students read and annotate the full article and compare it to their initial response.

Using current events and critical-thinking strategies like FIRE writing helps create a learning space where thinking is the goal rather than a score on a multiple-choice assessment. Critical-thinking skills can cross over to any of students’ other courses and into life outside the classroom. After all, we as teachers want to help the whole student be successful, and critical thinking is an important part of navigating life after they leave our classrooms.

usingdaratwo

‘Before-Explore-Explain’

Patrick Brown is the executive director of STEM and CTE for the Fort Zumwalt school district in Missouri and an experienced educator and author :

Planning for critical thinking focuses on teaching the most crucial science concepts, practices, and logical-thinking skills as well as the best use of instructional time. One way to ensure that lessons maintain a focus on critical thinking is to focus on the instructional sequence used to teach.

Explore-before-explain teaching is all about promoting critical thinking for learners to better prepare students for the reality of their world. What having an explore-before-explain mindset means is that in our planning, we prioritize giving students firsthand experiences with data, allow students to construct evidence-based claims that focus on conceptual understanding, and challenge students to discuss and think about the why behind phenomena.

Just think of the critical thinking that has to occur for students to construct a scientific claim. 1) They need the opportunity to collect data, analyze it, and determine how to make sense of what the data may mean. 2) With data in hand, students can begin thinking about the validity and reliability of their experience and information collected. 3) They can consider what differences, if any, they might have if they completed the investigation again. 4) They can scrutinize outlying data points for they may be an artifact of a true difference that merits further exploration of a misstep in the procedure, measuring device, or measurement. All of these intellectual activities help them form more robust understanding and are evidence of their critical thinking.

In explore-before-explain teaching, all of these hard critical-thinking tasks come before teacher explanations of content. Whether we use discovery experiences, problem-based learning, and or inquiry-based activities, strategies that are geared toward helping students construct understanding promote critical thinking because students learn content by doing the practices valued in the field to generate knowledge.

explorebeforeexplain

An Issue of Equity

Meg Riordan, Ph.D., is the chief learning officer at The Possible Project, an out-of-school program that collaborates with youth to build entrepreneurial skills and mindsets and provides pathways to careers and long-term economic prosperity. She has been in the field of education for over 25 years as a middle and high school teacher, school coach, college professor, regional director of N.Y.C. Outward Bound Schools, and director of external research with EL Education:

Although critical thinking often defies straightforward definition, most in the education field agree it consists of several components: reasoning, problem-solving, and decisionmaking, plus analysis and evaluation of information, such that multiple sides of an issue can be explored. It also includes dispositions and “the willingness to apply critical-thinking principles, rather than fall back on existing unexamined beliefs, or simply believe what you’re told by authority figures.”

Despite variation in definitions, critical thinking is nonetheless promoted as an essential outcome of students’ learning—we want to see students and adults demonstrate it across all fields, professions, and in their personal lives. Yet there is simultaneously a rationing of opportunities in schools for students of color, students from under-resourced communities, and other historically marginalized groups to deeply learn and practice critical thinking.

For example, many of our most underserved students often spend class time filling out worksheets, promoting high compliance but low engagement, inquiry, critical thinking, or creation of new ideas. At a time in our world when college and careers are critical for participation in society and the global, knowledge-based economy, far too many students struggle within classrooms and schools that reinforce low-expectations and inequity.

If educators aim to prepare all students for an ever-evolving marketplace and develop skills that will be valued no matter what tomorrow’s jobs are, then we must move critical thinking to the forefront of classroom experiences. And educators must design learning to cultivate it.

So, what does that really look like?

Unpack and define critical thinking

To understand critical thinking, educators need to first unpack and define its components. What exactly are we looking for when we speak about reasoning or exploring multiple perspectives on an issue? How does problem-solving show up in English, math, science, art, or other disciplines—and how is it assessed? At Two Rivers, an EL Education school, the faculty identified five constructs of critical thinking, defined each, and created rubrics to generate a shared picture of quality for teachers and students. The rubrics were then adapted across grade levels to indicate students’ learning progressions.

At Avenues World School, critical thinking is one of the Avenues World Elements and is an enduring outcome embedded in students’ early experiences through 12th grade. For instance, a kindergarten student may be expected to “identify cause and effect in familiar contexts,” while an 8th grader should demonstrate the ability to “seek out sufficient evidence before accepting a claim as true,” “identify bias in claims and evidence,” and “reconsider strongly held points of view in light of new evidence.”

When faculty and students embrace a common vision of what critical thinking looks and sounds like and how it is assessed, educators can then explicitly design learning experiences that call for students to employ critical-thinking skills. This kind of work must occur across all schools and programs, especially those serving large numbers of students of color. As Linda Darling-Hammond asserts , “Schools that serve large numbers of students of color are least likely to offer the kind of curriculum needed to ... help students attain the [critical-thinking] skills needed in a knowledge work economy. ”

So, what can it look like to create those kinds of learning experiences?

Designing experiences for critical thinking

After defining a shared understanding of “what” critical thinking is and “how” it shows up across multiple disciplines and grade levels, it is essential to create learning experiences that impel students to cultivate, practice, and apply these skills. There are several levers that offer pathways for teachers to promote critical thinking in lessons:

1.Choose Compelling Topics: Keep it relevant

A key Common Core State Standard asks for students to “write arguments to support claims in an analysis of substantive topics or texts using valid reasoning and relevant and sufficient evidence.” That might not sound exciting or culturally relevant. But a learning experience designed for a 12th grade humanities class engaged learners in a compelling topic— policing in America —to analyze and evaluate multiple texts (including primary sources) and share the reasoning for their perspectives through discussion and writing. Students grappled with ideas and their beliefs and employed deep critical-thinking skills to develop arguments for their claims. Embedding critical-thinking skills in curriculum that students care about and connect with can ignite powerful learning experiences.

2. Make Local Connections: Keep it real

At The Possible Project , an out-of-school-time program designed to promote entrepreneurial skills and mindsets, students in a recent summer online program (modified from in-person due to COVID-19) explored the impact of COVID-19 on their communities and local BIPOC-owned businesses. They learned interviewing skills through a partnership with Everyday Boston , conducted virtual interviews with entrepreneurs, evaluated information from their interviews and local data, and examined their previously held beliefs. They created blog posts and videos to reflect on their learning and consider how their mindsets had changed as a result of the experience. In this way, we can design powerful community-based learning and invite students into productive struggle with multiple perspectives.

3. Create Authentic Projects: Keep it rigorous

At Big Picture Learning schools, students engage in internship-based learning experiences as a central part of their schooling. Their school-based adviser and internship-based mentor support them in developing real-world projects that promote deeper learning and critical-thinking skills. Such authentic experiences teach “young people to be thinkers, to be curious, to get from curiosity to creation … and it helps students design a learning experience that answers their questions, [providing an] opportunity to communicate it to a larger audience—a major indicator of postsecondary success.” Even in a remote environment, we can design projects that ask more of students than rote memorization and that spark critical thinking.

Our call to action is this: As educators, we need to make opportunities for critical thinking available not only to the affluent or those fortunate enough to be placed in advanced courses. The tools are available, let’s use them. Let’s interrogate our current curriculum and design learning experiences that engage all students in real, relevant, and rigorous experiences that require critical thinking and prepare them for promising postsecondary pathways.

letsinterrogate

Critical Thinking & Student Engagement

Dr. PJ Caposey is an award-winning educator, keynote speaker, consultant, and author of seven books who currently serves as the superintendent of schools for the award-winning Meridian CUSD 223 in northwest Illinois. You can find PJ on most social-media platforms as MCUSDSupe:

When I start my keynote on student engagement, I invite two people up on stage and give them each five paper balls to shoot at a garbage can also conveniently placed on stage. Contestant One shoots their shot, and the audience gives approval. Four out of 5 is a heckuva score. Then just before Contestant Two shoots, I blindfold them and start moving the garbage can back and forth. I usually try to ensure that they can at least make one of their shots. Nobody is successful in this unfair environment.

I thank them and send them back to their seats and then explain that this little activity was akin to student engagement. While we all know we want student engagement, we are shooting at different targets. More importantly, for teachers, it is near impossible for them to hit a target that is moving and that they cannot see.

Within the world of education and particularly as educational leaders, we have failed to simplify what student engagement looks like, and it is impossible to define or articulate what student engagement looks like if we cannot clearly articulate what critical thinking is and looks like in a classroom. Because, simply, without critical thought, there is no engagement.

The good news here is that critical thought has been defined and placed into taxonomies for decades already. This is not something new and not something that needs to be redefined. I am a Bloom’s person, but there is nothing wrong with DOK or some of the other taxonomies, either. To be precise, I am a huge fan of Daggett’s Rigor and Relevance Framework. I have used that as a core element of my practice for years, and it has shaped who I am as an instructional leader.

So, in order to explain critical thought, a teacher or a leader must familiarize themselves with these tried and true taxonomies. Easy, right? Yes, sort of. The issue is not understanding what critical thought is; it is the ability to integrate it into the classrooms. In order to do so, there are a four key steps every educator must take.

  • Integrating critical thought/rigor into a lesson does not happen by chance, it happens by design. Planning for critical thought and engagement is much different from planning for a traditional lesson. In order to plan for kids to think critically, you have to provide a base of knowledge and excellent prompts to allow them to explore their own thinking in order to analyze, evaluate, or synthesize information.
  • SIDE NOTE – Bloom’s verbs are a great way to start when writing objectives, but true planning will take you deeper than this.

QUESTIONING

  • If the questions and prompts given in a classroom have correct answers or if the teacher ends up answering their own questions, the lesson will lack critical thought and rigor.
  • Script five questions forcing higher-order thought prior to every lesson. Experienced teachers may not feel they need this, but it helps to create an effective habit.
  • If lessons are rigorous and assessments are not, students will do well on their assessments, and that may not be an accurate representation of the knowledge and skills they have mastered. If lessons are easy and assessments are rigorous, the exact opposite will happen. When deciding to increase critical thought, it must happen in all three phases of the game: planning, instruction, and assessment.

TALK TIME / CONTROL

  • To increase rigor, the teacher must DO LESS. This feels counterintuitive but is accurate. Rigorous lessons involving tons of critical thought must allow for students to work on their own, collaborate with peers, and connect their ideas. This cannot happen in a silent room except for the teacher talking. In order to increase rigor, decrease talk time and become comfortable with less control. Asking questions and giving prompts that lead to no true correct answer also means less control. This is a tough ask for some teachers. Explained differently, if you assign one assignment and get 30 very similar products, you have most likely assigned a low-rigor recipe. If you assign one assignment and get multiple varied products, then the students have had a chance to think deeply, and you have successfully integrated critical thought into your classroom.

integratingcaposey

Thanks to Dara, Patrick, Meg, and PJ for their contributions!

Please feel free to leave a comment with your reactions to the topic or directly to anything that has been said in this post.

Consider contributing a question to be answered in a future post. You can send one to me at [email protected] . When you send it in, let me know if I can use your real name if it’s selected or if you’d prefer remaining anonymous and have a pseudonym in mind.

You can also contact me on Twitter at @Larryferlazzo .

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Critical thinking and Information Literacy: Bloom's Taxonomy

  • A Note on Critical Thinking
  • Critical Thinking
  • Bloom's Taxonomy
  • Christopher Dwyer's Critical Thinking

What is Bloom's Taxonomy and why is it relevant to Critical Thinking

Bloom's Taxonomy and Critical Thinking go hand in hand.  Bloom's taxonomy takes students through a thought process of analyzing information or knowledge critically.  Bloom's taxonomy begins with knowledge/memory and slowly pushes students to seek more information based upon a series of levels of questions and keywords that brings out an action on the part of the student.  Both critical thinking and Bloom's taxonomy are necessary to education and meta-cognition. 

Practical Applications:

  • Th e Idea of “dialogue” with a “text” and on of  filling gaps or silences in the what you are  reading in order  so that you can contribute to any conversation, in particular when writing a research paper is primordial.
  • The more “content” background knowledge we have the more critical our engagement.

Why Use Bloom's Taxonomy?

  • Objectives (learning goals) are important to establish in a pedagogical interchange so that teachers and students alike understand the purpose of that interchange.
  • Teachers can benefit from using frameworks to organize objectives because
  • Organizing objectives helps to clarify objectives for themselves and for students.
  • “plan and deliver appropriate instruction”;
  • “design valid assessment tasks and strategies”;and
  • “ensure that instruction and assessment are aligned with the objectives.”

Citations are from  A Taxonomy for Learning, Teaching, and Assessing: A Revision of Bloom’s Taxonomy of Educational Objectives .

The Revised Taxonomy 2001

  • Recognizing
  • Interpreting
  • Exemplifying
  • Classifying
  • Summarizing
  • Implementing
  • Differentiating
  • Attributing

In the revised taxonomy, knowledge is at the basis of these six cognitive processes, but its authors created a separate taxonomy of the types of knowledge used in cognition:

  • Knowledge of terminology
  • Knowledge of specific details and elements
  • Knowledge of classifications and categories
  • Knowledge of principles and generalizations
  • Knowledge of theories, models, and structures
  • Knowledge of subject-specific skills and algorithms
  • Knowledge of subject-specific techniques and methods
  • Knowledge of criteria for determining when to use appropriate procedures
  • Strategic Knowledge
  • Knowledge about cognitive tasks, including appropriate contextual and conditional knowledge
  • Self-knowledge

Critical thinking Bloom's Taxonomy

critical thinking and problem solving in literacy

in Taxonomy of Educational Objectives (1956), Bloom outlined  six hierarchical and interconected le

  • Comprehension
  • Application

Bloom taxonomy Example

Here is an example of Bloom's Taxonomy in use:

critical thinking and problem solving in literacy

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  • Last Updated: Mar 22, 2023 9:01 AM
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  • Published: 11 January 2023

The effectiveness of collaborative problem solving in promoting students’ critical thinking: A meta-analysis based on empirical literature

  • Enwei Xu   ORCID: orcid.org/0000-0001-6424-8169 1 ,
  • Wei Wang 1 &
  • Qingxia Wang 1  

Humanities and Social Sciences Communications volume  10 , Article number:  16 ( 2023 ) Cite this article

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  • Science, technology and society

Collaborative problem-solving has been widely embraced in the classroom instruction of critical thinking, which is regarded as the core of curriculum reform based on key competencies in the field of education as well as a key competence for learners in the 21st century. However, the effectiveness of collaborative problem-solving in promoting students’ critical thinking remains uncertain. This current research presents the major findings of a meta-analysis of 36 pieces of the literature revealed in worldwide educational periodicals during the 21st century to identify the effectiveness of collaborative problem-solving in promoting students’ critical thinking and to determine, based on evidence, whether and to what extent collaborative problem solving can result in a rise or decrease in critical thinking. The findings show that (1) collaborative problem solving is an effective teaching approach to foster students’ critical thinking, with a significant overall effect size (ES = 0.82, z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]); (2) in respect to the dimensions of critical thinking, collaborative problem solving can significantly and successfully enhance students’ attitudinal tendencies (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI[0.87, 1.47]); nevertheless, it falls short in terms of improving students’ cognitive skills, having only an upper-middle impact (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI[0.58, 0.82]); and (3) the teaching type (chi 2  = 7.20, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), and learning scaffold (chi 2  = 9.03, P  < 0.01) all have an impact on critical thinking, and they can be viewed as important moderating factors that affect how critical thinking develops. On the basis of these results, recommendations are made for further study and instruction to better support students’ critical thinking in the context of collaborative problem-solving.

Introduction

Although critical thinking has a long history in research, the concept of critical thinking, which is regarded as an essential competence for learners in the 21st century, has recently attracted more attention from researchers and teaching practitioners (National Research Council, 2012 ). Critical thinking should be the core of curriculum reform based on key competencies in the field of education (Peng and Deng, 2017 ) because students with critical thinking can not only understand the meaning of knowledge but also effectively solve practical problems in real life even after knowledge is forgotten (Kek and Huijser, 2011 ). The definition of critical thinking is not universal (Ennis, 1989 ; Castle, 2009 ; Niu et al., 2013 ). In general, the definition of critical thinking is a self-aware and self-regulated thought process (Facione, 1990 ; Niu et al., 2013 ). It refers to the cognitive skills needed to interpret, analyze, synthesize, reason, and evaluate information as well as the attitudinal tendency to apply these abilities (Halpern, 2001 ). The view that critical thinking can be taught and learned through curriculum teaching has been widely supported by many researchers (e.g., Kuncel, 2011 ; Leng and Lu, 2020 ), leading to educators’ efforts to foster it among students. In the field of teaching practice, there are three types of courses for teaching critical thinking (Ennis, 1989 ). The first is an independent curriculum in which critical thinking is taught and cultivated without involving the knowledge of specific disciplines; the second is an integrated curriculum in which critical thinking is integrated into the teaching of other disciplines as a clear teaching goal; and the third is a mixed curriculum in which critical thinking is taught in parallel to the teaching of other disciplines for mixed teaching training. Furthermore, numerous measuring tools have been developed by researchers and educators to measure critical thinking in the context of teaching practice. These include standardized measurement tools, such as WGCTA, CCTST, CCTT, and CCTDI, which have been verified by repeated experiments and are considered effective and reliable by international scholars (Facione and Facione, 1992 ). In short, descriptions of critical thinking, including its two dimensions of attitudinal tendency and cognitive skills, different types of teaching courses, and standardized measurement tools provide a complex normative framework for understanding, teaching, and evaluating critical thinking.

Cultivating critical thinking in curriculum teaching can start with a problem, and one of the most popular critical thinking instructional approaches is problem-based learning (Liu et al., 2020 ). Duch et al. ( 2001 ) noted that problem-based learning in group collaboration is progressive active learning, which can improve students’ critical thinking and problem-solving skills. Collaborative problem-solving is the organic integration of collaborative learning and problem-based learning, which takes learners as the center of the learning process and uses problems with poor structure in real-world situations as the starting point for the learning process (Liang et al., 2017 ). Students learn the knowledge needed to solve problems in a collaborative group, reach a consensus on problems in the field, and form solutions through social cooperation methods, such as dialogue, interpretation, questioning, debate, negotiation, and reflection, thus promoting the development of learners’ domain knowledge and critical thinking (Cindy, 2004 ; Liang et al., 2017 ).

Collaborative problem-solving has been widely used in the teaching practice of critical thinking, and several studies have attempted to conduct a systematic review and meta-analysis of the empirical literature on critical thinking from various perspectives. However, little attention has been paid to the impact of collaborative problem-solving on critical thinking. Therefore, the best approach for developing and enhancing critical thinking throughout collaborative problem-solving is to examine how to implement critical thinking instruction; however, this issue is still unexplored, which means that many teachers are incapable of better instructing critical thinking (Leng and Lu, 2020 ; Niu et al., 2013 ). For example, Huber ( 2016 ) provided the meta-analysis findings of 71 publications on gaining critical thinking over various time frames in college with the aim of determining whether critical thinking was truly teachable. These authors found that learners significantly improve their critical thinking while in college and that critical thinking differs with factors such as teaching strategies, intervention duration, subject area, and teaching type. The usefulness of collaborative problem-solving in fostering students’ critical thinking, however, was not determined by this study, nor did it reveal whether there existed significant variations among the different elements. A meta-analysis of 31 pieces of educational literature was conducted by Liu et al. ( 2020 ) to assess the impact of problem-solving on college students’ critical thinking. These authors found that problem-solving could promote the development of critical thinking among college students and proposed establishing a reasonable group structure for problem-solving in a follow-up study to improve students’ critical thinking. Additionally, previous empirical studies have reached inconclusive and even contradictory conclusions about whether and to what extent collaborative problem-solving increases or decreases critical thinking levels. As an illustration, Yang et al. ( 2008 ) carried out an experiment on the integrated curriculum teaching of college students based on a web bulletin board with the goal of fostering participants’ critical thinking in the context of collaborative problem-solving. These authors’ research revealed that through sharing, debating, examining, and reflecting on various experiences and ideas, collaborative problem-solving can considerably enhance students’ critical thinking in real-life problem situations. In contrast, collaborative problem-solving had a positive impact on learners’ interaction and could improve learning interest and motivation but could not significantly improve students’ critical thinking when compared to traditional classroom teaching, according to research by Naber and Wyatt ( 2014 ) and Sendag and Odabasi ( 2009 ) on undergraduate and high school students, respectively.

The above studies show that there is inconsistency regarding the effectiveness of collaborative problem-solving in promoting students’ critical thinking. Therefore, it is essential to conduct a thorough and trustworthy review to detect and decide whether and to what degree collaborative problem-solving can result in a rise or decrease in critical thinking. Meta-analysis is a quantitative analysis approach that is utilized to examine quantitative data from various separate studies that are all focused on the same research topic. This approach characterizes the effectiveness of its impact by averaging the effect sizes of numerous qualitative studies in an effort to reduce the uncertainty brought on by independent research and produce more conclusive findings (Lipsey and Wilson, 2001 ).

This paper used a meta-analytic approach and carried out a meta-analysis to examine the effectiveness of collaborative problem-solving in promoting students’ critical thinking in order to make a contribution to both research and practice. The following research questions were addressed by this meta-analysis:

What is the overall effect size of collaborative problem-solving in promoting students’ critical thinking and its impact on the two dimensions of critical thinking (i.e., attitudinal tendency and cognitive skills)?

How are the disparities between the study conclusions impacted by various moderating variables if the impacts of various experimental designs in the included studies are heterogeneous?

This research followed the strict procedures (e.g., database searching, identification, screening, eligibility, merging, duplicate removal, and analysis of included studies) of Cooper’s ( 2010 ) proposed meta-analysis approach for examining quantitative data from various separate studies that are all focused on the same research topic. The relevant empirical research that appeared in worldwide educational periodicals within the 21st century was subjected to this meta-analysis using Rev-Man 5.4. The consistency of the data extracted separately by two researchers was tested using Cohen’s kappa coefficient, and a publication bias test and a heterogeneity test were run on the sample data to ascertain the quality of this meta-analysis.

Data sources and search strategies

There were three stages to the data collection process for this meta-analysis, as shown in Fig. 1 , which shows the number of articles included and eliminated during the selection process based on the statement and study eligibility criteria.

figure 1

This flowchart shows the number of records identified, included and excluded in the article.

First, the databases used to systematically search for relevant articles were the journal papers of the Web of Science Core Collection and the Chinese Core source journal, as well as the Chinese Social Science Citation Index (CSSCI) source journal papers included in CNKI. These databases were selected because they are credible platforms that are sources of scholarly and peer-reviewed information with advanced search tools and contain literature relevant to the subject of our topic from reliable researchers and experts. The search string with the Boolean operator used in the Web of Science was “TS = (((“critical thinking” or “ct” and “pretest” or “posttest”) or (“critical thinking” or “ct” and “control group” or “quasi experiment” or “experiment”)) and (“collaboration” or “collaborative learning” or “CSCL”) and (“problem solving” or “problem-based learning” or “PBL”))”. The research area was “Education Educational Research”, and the search period was “January 1, 2000, to December 30, 2021”. A total of 412 papers were obtained. The search string with the Boolean operator used in the CNKI was “SU = (‘critical thinking’*‘collaboration’ + ‘critical thinking’*‘collaborative learning’ + ‘critical thinking’*‘CSCL’ + ‘critical thinking’*‘problem solving’ + ‘critical thinking’*‘problem-based learning’ + ‘critical thinking’*‘PBL’ + ‘critical thinking’*‘problem oriented’) AND FT = (‘experiment’ + ‘quasi experiment’ + ‘pretest’ + ‘posttest’ + ‘empirical study’)” (translated into Chinese when searching). A total of 56 studies were found throughout the search period of “January 2000 to December 2021”. From the databases, all duplicates and retractions were eliminated before exporting the references into Endnote, a program for managing bibliographic references. In all, 466 studies were found.

Second, the studies that matched the inclusion and exclusion criteria for the meta-analysis were chosen by two researchers after they had reviewed the abstracts and titles of the gathered articles, yielding a total of 126 studies.

Third, two researchers thoroughly reviewed each included article’s whole text in accordance with the inclusion and exclusion criteria. Meanwhile, a snowball search was performed using the references and citations of the included articles to ensure complete coverage of the articles. Ultimately, 36 articles were kept.

Two researchers worked together to carry out this entire process, and a consensus rate of almost 94.7% was reached after discussion and negotiation to clarify any emerging differences.

Eligibility criteria

Since not all the retrieved studies matched the criteria for this meta-analysis, eligibility criteria for both inclusion and exclusion were developed as follows:

The publication language of the included studies was limited to English and Chinese, and the full text could be obtained. Articles that did not meet the publication language and articles not published between 2000 and 2021 were excluded.

The research design of the included studies must be empirical and quantitative studies that can assess the effect of collaborative problem-solving on the development of critical thinking. Articles that could not identify the causal mechanisms by which collaborative problem-solving affects critical thinking, such as review articles and theoretical articles, were excluded.

The research method of the included studies must feature a randomized control experiment or a quasi-experiment, or a natural experiment, which have a higher degree of internal validity with strong experimental designs and can all plausibly provide evidence that critical thinking and collaborative problem-solving are causally related. Articles with non-experimental research methods, such as purely correlational or observational studies, were excluded.

The participants of the included studies were only students in school, including K-12 students and college students. Articles in which the participants were non-school students, such as social workers or adult learners, were excluded.

The research results of the included studies must mention definite signs that may be utilized to gauge critical thinking’s impact (e.g., sample size, mean value, or standard deviation). Articles that lacked specific measurement indicators for critical thinking and could not calculate the effect size were excluded.

Data coding design

In order to perform a meta-analysis, it is necessary to collect the most important information from the articles, codify that information’s properties, and convert descriptive data into quantitative data. Therefore, this study designed a data coding template (see Table 1 ). Ultimately, 16 coding fields were retained.

The designed data-coding template consisted of three pieces of information. Basic information about the papers was included in the descriptive information: the publishing year, author, serial number, and title of the paper.

The variable information for the experimental design had three variables: the independent variable (instruction method), the dependent variable (critical thinking), and the moderating variable (learning stage, teaching type, intervention duration, learning scaffold, group size, measuring tool, and subject area). Depending on the topic of this study, the intervention strategy, as the independent variable, was coded into collaborative and non-collaborative problem-solving. The dependent variable, critical thinking, was coded as a cognitive skill and an attitudinal tendency. And seven moderating variables were created by grouping and combining the experimental design variables discovered within the 36 studies (see Table 1 ), where learning stages were encoded as higher education, high school, middle school, and primary school or lower; teaching types were encoded as mixed courses, integrated courses, and independent courses; intervention durations were encoded as 0–1 weeks, 1–4 weeks, 4–12 weeks, and more than 12 weeks; group sizes were encoded as 2–3 persons, 4–6 persons, 7–10 persons, and more than 10 persons; learning scaffolds were encoded as teacher-supported learning scaffold, technique-supported learning scaffold, and resource-supported learning scaffold; measuring tools were encoded as standardized measurement tools (e.g., WGCTA, CCTT, CCTST, and CCTDI) and self-adapting measurement tools (e.g., modified or made by researchers); and subject areas were encoded according to the specific subjects used in the 36 included studies.

The data information contained three metrics for measuring critical thinking: sample size, average value, and standard deviation. It is vital to remember that studies with various experimental designs frequently adopt various formulas to determine the effect size. And this paper used Morris’ proposed standardized mean difference (SMD) calculation formula ( 2008 , p. 369; see Supplementary Table S3 ).

Procedure for extracting and coding data

According to the data coding template (see Table 1 ), the 36 papers’ information was retrieved by two researchers, who then entered them into Excel (see Supplementary Table S1 ). The results of each study were extracted separately in the data extraction procedure if an article contained numerous studies on critical thinking, or if a study assessed different critical thinking dimensions. For instance, Tiwari et al. ( 2010 ) used four time points, which were viewed as numerous different studies, to examine the outcomes of critical thinking, and Chen ( 2013 ) included the two outcome variables of attitudinal tendency and cognitive skills, which were regarded as two studies. After discussion and negotiation during data extraction, the two researchers’ consistency test coefficients were roughly 93.27%. Supplementary Table S2 details the key characteristics of the 36 included articles with 79 effect quantities, including descriptive information (e.g., the publishing year, author, serial number, and title of the paper), variable information (e.g., independent variables, dependent variables, and moderating variables), and data information (e.g., mean values, standard deviations, and sample size). Following that, testing for publication bias and heterogeneity was done on the sample data using the Rev-Man 5.4 software, and then the test results were used to conduct a meta-analysis.

Publication bias test

When the sample of studies included in a meta-analysis does not accurately reflect the general status of research on the relevant subject, publication bias is said to be exhibited in this research. The reliability and accuracy of the meta-analysis may be impacted by publication bias. Due to this, the meta-analysis needs to check the sample data for publication bias (Stewart et al., 2006 ). A popular method to check for publication bias is the funnel plot; and it is unlikely that there will be publishing bias when the data are equally dispersed on either side of the average effect size and targeted within the higher region. The data are equally dispersed within the higher portion of the efficient zone, consistent with the funnel plot connected with this analysis (see Fig. 2 ), indicating that publication bias is unlikely in this situation.

figure 2

This funnel plot shows the result of publication bias of 79 effect quantities across 36 studies.

Heterogeneity test

To select the appropriate effect models for the meta-analysis, one might use the results of a heterogeneity test on the data effect sizes. In a meta-analysis, it is common practice to gauge the degree of data heterogeneity using the I 2 value, and I 2  ≥ 50% is typically understood to denote medium-high heterogeneity, which calls for the adoption of a random effect model; if not, a fixed effect model ought to be applied (Lipsey and Wilson, 2001 ). The findings of the heterogeneity test in this paper (see Table 2 ) revealed that I 2 was 86% and displayed significant heterogeneity ( P  < 0.01). To ensure accuracy and reliability, the overall effect size ought to be calculated utilizing the random effect model.

The analysis of the overall effect size

This meta-analysis utilized a random effect model to examine 79 effect quantities from 36 studies after eliminating heterogeneity. In accordance with Cohen’s criterion (Cohen, 1992 ), it is abundantly clear from the analysis results, which are shown in the forest plot of the overall effect (see Fig. 3 ), that the cumulative impact size of cooperative problem-solving is 0.82, which is statistically significant ( z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]), and can encourage learners to practice critical thinking.

figure 3

This forest plot shows the analysis result of the overall effect size across 36 studies.

In addition, this study examined two distinct dimensions of critical thinking to better understand the precise contributions that collaborative problem-solving makes to the growth of critical thinking. The findings (see Table 3 ) indicate that collaborative problem-solving improves cognitive skills (ES = 0.70) and attitudinal tendency (ES = 1.17), with significant intergroup differences (chi 2  = 7.95, P  < 0.01). Although collaborative problem-solving improves both dimensions of critical thinking, it is essential to point out that the improvements in students’ attitudinal tendency are much more pronounced and have a significant comprehensive effect (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI [0.87, 1.47]), whereas gains in learners’ cognitive skill are slightly improved and are just above average. (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI [0.58, 0.82]).

The analysis of moderator effect size

The whole forest plot’s 79 effect quantities underwent a two-tailed test, which revealed significant heterogeneity ( I 2  = 86%, z  = 12.78, P  < 0.01), indicating differences between various effect sizes that may have been influenced by moderating factors other than sampling error. Therefore, exploring possible moderating factors that might produce considerable heterogeneity was done using subgroup analysis, such as the learning stage, learning scaffold, teaching type, group size, duration of the intervention, measuring tool, and the subject area included in the 36 experimental designs, in order to further explore the key factors that influence critical thinking. The findings (see Table 4 ) indicate that various moderating factors have advantageous effects on critical thinking. In this situation, the subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), learning scaffold (chi 2  = 9.03, P  < 0.01), and teaching type (chi 2  = 7.20, P  < 0.05) are all significant moderators that can be applied to support the cultivation of critical thinking. However, since the learning stage and the measuring tools did not significantly differ among intergroup (chi 2  = 3.15, P  = 0.21 > 0.05, and chi 2  = 0.08, P  = 0.78 > 0.05), we are unable to explain why these two factors are crucial in supporting the cultivation of critical thinking in the context of collaborative problem-solving. These are the precise outcomes, as follows:

Various learning stages influenced critical thinking positively, without significant intergroup differences (chi 2  = 3.15, P  = 0.21 > 0.05). High school was first on the list of effect sizes (ES = 1.36, P  < 0.01), then higher education (ES = 0.78, P  < 0.01), and middle school (ES = 0.73, P  < 0.01). These results show that, despite the learning stage’s beneficial influence on cultivating learners’ critical thinking, we are unable to explain why it is essential for cultivating critical thinking in the context of collaborative problem-solving.

Different teaching types had varying degrees of positive impact on critical thinking, with significant intergroup differences (chi 2  = 7.20, P  < 0.05). The effect size was ranked as follows: mixed courses (ES = 1.34, P  < 0.01), integrated courses (ES = 0.81, P  < 0.01), and independent courses (ES = 0.27, P  < 0.01). These results indicate that the most effective approach to cultivate critical thinking utilizing collaborative problem solving is through the teaching type of mixed courses.

Various intervention durations significantly improved critical thinking, and there were significant intergroup differences (chi 2  = 12.18, P  < 0.01). The effect sizes related to this variable showed a tendency to increase with longer intervention durations. The improvement in critical thinking reached a significant level (ES = 0.85, P  < 0.01) after more than 12 weeks of training. These findings indicate that the intervention duration and critical thinking’s impact are positively correlated, with a longer intervention duration having a greater effect.

Different learning scaffolds influenced critical thinking positively, with significant intergroup differences (chi 2  = 9.03, P  < 0.01). The resource-supported learning scaffold (ES = 0.69, P  < 0.01) acquired a medium-to-higher level of impact, the technique-supported learning scaffold (ES = 0.63, P  < 0.01) also attained a medium-to-higher level of impact, and the teacher-supported learning scaffold (ES = 0.92, P  < 0.01) displayed a high level of significant impact. These results show that the learning scaffold with teacher support has the greatest impact on cultivating critical thinking.

Various group sizes influenced critical thinking positively, and the intergroup differences were statistically significant (chi 2  = 8.77, P  < 0.05). Critical thinking showed a general declining trend with increasing group size. The overall effect size of 2–3 people in this situation was the biggest (ES = 0.99, P  < 0.01), and when the group size was greater than 7 people, the improvement in critical thinking was at the lower-middle level (ES < 0.5, P  < 0.01). These results show that the impact on critical thinking is positively connected with group size, and as group size grows, so does the overall impact.

Various measuring tools influenced critical thinking positively, with significant intergroup differences (chi 2  = 0.08, P  = 0.78 > 0.05). In this situation, the self-adapting measurement tools obtained an upper-medium level of effect (ES = 0.78), whereas the complete effect size of the standardized measurement tools was the largest, achieving a significant level of effect (ES = 0.84, P  < 0.01). These results show that, despite the beneficial influence of the measuring tool on cultivating critical thinking, we are unable to explain why it is crucial in fostering the growth of critical thinking by utilizing the approach of collaborative problem-solving.

Different subject areas had a greater impact on critical thinking, and the intergroup differences were statistically significant (chi 2  = 13.36, P  < 0.05). Mathematics had the greatest overall impact, achieving a significant level of effect (ES = 1.68, P  < 0.01), followed by science (ES = 1.25, P  < 0.01) and medical science (ES = 0.87, P  < 0.01), both of which also achieved a significant level of effect. Programming technology was the least effective (ES = 0.39, P  < 0.01), only having a medium-low degree of effect compared to education (ES = 0.72, P  < 0.01) and other fields (such as language, art, and social sciences) (ES = 0.58, P  < 0.01). These results suggest that scientific fields (e.g., mathematics, science) may be the most effective subject areas for cultivating critical thinking utilizing the approach of collaborative problem-solving.

The effectiveness of collaborative problem solving with regard to teaching critical thinking

According to this meta-analysis, using collaborative problem-solving as an intervention strategy in critical thinking teaching has a considerable amount of impact on cultivating learners’ critical thinking as a whole and has a favorable promotional effect on the two dimensions of critical thinking. According to certain studies, collaborative problem solving, the most frequently used critical thinking teaching strategy in curriculum instruction can considerably enhance students’ critical thinking (e.g., Liang et al., 2017 ; Liu et al., 2020 ; Cindy, 2004 ). This meta-analysis provides convergent data support for the above research views. Thus, the findings of this meta-analysis not only effectively address the first research query regarding the overall effect of cultivating critical thinking and its impact on the two dimensions of critical thinking (i.e., attitudinal tendency and cognitive skills) utilizing the approach of collaborative problem-solving, but also enhance our confidence in cultivating critical thinking by using collaborative problem-solving intervention approach in the context of classroom teaching.

Furthermore, the associated improvements in attitudinal tendency are much stronger, but the corresponding improvements in cognitive skill are only marginally better. According to certain studies, cognitive skill differs from the attitudinal tendency in classroom instruction; the cultivation and development of the former as a key ability is a process of gradual accumulation, while the latter as an attitude is affected by the context of the teaching situation (e.g., a novel and exciting teaching approach, challenging and rewarding tasks) (Halpern, 2001 ; Wei and Hong, 2022 ). Collaborative problem-solving as a teaching approach is exciting and interesting, as well as rewarding and challenging; because it takes the learners as the focus and examines problems with poor structure in real situations, and it can inspire students to fully realize their potential for problem-solving, which will significantly improve their attitudinal tendency toward solving problems (Liu et al., 2020 ). Similar to how collaborative problem-solving influences attitudinal tendency, attitudinal tendency impacts cognitive skill when attempting to solve a problem (Liu et al., 2020 ; Zhang et al., 2022 ), and stronger attitudinal tendencies are associated with improved learning achievement and cognitive ability in students (Sison, 2008 ; Zhang et al., 2022 ). It can be seen that the two specific dimensions of critical thinking as well as critical thinking as a whole are affected by collaborative problem-solving, and this study illuminates the nuanced links between cognitive skills and attitudinal tendencies with regard to these two dimensions of critical thinking. To fully develop students’ capacity for critical thinking, future empirical research should pay closer attention to cognitive skills.

The moderating effects of collaborative problem solving with regard to teaching critical thinking

In order to further explore the key factors that influence critical thinking, exploring possible moderating effects that might produce considerable heterogeneity was done using subgroup analysis. The findings show that the moderating factors, such as the teaching type, learning stage, group size, learning scaffold, duration of the intervention, measuring tool, and the subject area included in the 36 experimental designs, could all support the cultivation of collaborative problem-solving in critical thinking. Among them, the effect size differences between the learning stage and measuring tool are not significant, which does not explain why these two factors are crucial in supporting the cultivation of critical thinking utilizing the approach of collaborative problem-solving.

In terms of the learning stage, various learning stages influenced critical thinking positively without significant intergroup differences, indicating that we are unable to explain why it is crucial in fostering the growth of critical thinking.

Although high education accounts for 70.89% of all empirical studies performed by researchers, high school may be the appropriate learning stage to foster students’ critical thinking by utilizing the approach of collaborative problem-solving since it has the largest overall effect size. This phenomenon may be related to student’s cognitive development, which needs to be further studied in follow-up research.

With regard to teaching type, mixed course teaching may be the best teaching method to cultivate students’ critical thinking. Relevant studies have shown that in the actual teaching process if students are trained in thinking methods alone, the methods they learn are isolated and divorced from subject knowledge, which is not conducive to their transfer of thinking methods; therefore, if students’ thinking is trained only in subject teaching without systematic method training, it is challenging to apply to real-world circumstances (Ruggiero, 2012 ; Hu and Liu, 2015 ). Teaching critical thinking as mixed course teaching in parallel to other subject teachings can achieve the best effect on learners’ critical thinking, and explicit critical thinking instruction is more effective than less explicit critical thinking instruction (Bensley and Spero, 2014 ).

In terms of the intervention duration, with longer intervention times, the overall effect size shows an upward tendency. Thus, the intervention duration and critical thinking’s impact are positively correlated. Critical thinking, as a key competency for students in the 21st century, is difficult to get a meaningful improvement in a brief intervention duration. Instead, it could be developed over a lengthy period of time through consistent teaching and the progressive accumulation of knowledge (Halpern, 2001 ; Hu and Liu, 2015 ). Therefore, future empirical studies ought to take these restrictions into account throughout a longer period of critical thinking instruction.

With regard to group size, a group size of 2–3 persons has the highest effect size, and the comprehensive effect size decreases with increasing group size in general. This outcome is in line with some research findings; as an example, a group composed of two to four members is most appropriate for collaborative learning (Schellens and Valcke, 2006 ). However, the meta-analysis results also indicate that once the group size exceeds 7 people, small groups cannot produce better interaction and performance than large groups. This may be because the learning scaffolds of technique support, resource support, and teacher support improve the frequency and effectiveness of interaction among group members, and a collaborative group with more members may increase the diversity of views, which is helpful to cultivate critical thinking utilizing the approach of collaborative problem-solving.

With regard to the learning scaffold, the three different kinds of learning scaffolds can all enhance critical thinking. Among them, the teacher-supported learning scaffold has the largest overall effect size, demonstrating the interdependence of effective learning scaffolds and collaborative problem-solving. This outcome is in line with some research findings; as an example, a successful strategy is to encourage learners to collaborate, come up with solutions, and develop critical thinking skills by using learning scaffolds (Reiser, 2004 ; Xu et al., 2022 ); learning scaffolds can lower task complexity and unpleasant feelings while also enticing students to engage in learning activities (Wood et al., 2006 ); learning scaffolds are designed to assist students in using learning approaches more successfully to adapt the collaborative problem-solving process, and the teacher-supported learning scaffolds have the greatest influence on critical thinking in this process because they are more targeted, informative, and timely (Xu et al., 2022 ).

With respect to the measuring tool, despite the fact that standardized measurement tools (such as the WGCTA, CCTT, and CCTST) have been acknowledged as trustworthy and effective by worldwide experts, only 54.43% of the research included in this meta-analysis adopted them for assessment, and the results indicated no intergroup differences. These results suggest that not all teaching circumstances are appropriate for measuring critical thinking using standardized measurement tools. “The measuring tools for measuring thinking ability have limits in assessing learners in educational situations and should be adapted appropriately to accurately assess the changes in learners’ critical thinking.”, according to Simpson and Courtney ( 2002 , p. 91). As a result, in order to more fully and precisely gauge how learners’ critical thinking has evolved, we must properly modify standardized measuring tools based on collaborative problem-solving learning contexts.

With regard to the subject area, the comprehensive effect size of science departments (e.g., mathematics, science, medical science) is larger than that of language arts and social sciences. Some recent international education reforms have noted that critical thinking is a basic part of scientific literacy. Students with scientific literacy can prove the rationality of their judgment according to accurate evidence and reasonable standards when they face challenges or poorly structured problems (Kyndt et al., 2013 ), which makes critical thinking crucial for developing scientific understanding and applying this understanding to practical problem solving for problems related to science, technology, and society (Yore et al., 2007 ).

Suggestions for critical thinking teaching

Other than those stated in the discussion above, the following suggestions are offered for critical thinking instruction utilizing the approach of collaborative problem-solving.

First, teachers should put a special emphasis on the two core elements, which are collaboration and problem-solving, to design real problems based on collaborative situations. This meta-analysis provides evidence to support the view that collaborative problem-solving has a strong synergistic effect on promoting students’ critical thinking. Asking questions about real situations and allowing learners to take part in critical discussions on real problems during class instruction are key ways to teach critical thinking rather than simply reading speculative articles without practice (Mulnix, 2012 ). Furthermore, the improvement of students’ critical thinking is realized through cognitive conflict with other learners in the problem situation (Yang et al., 2008 ). Consequently, it is essential for teachers to put a special emphasis on the two core elements, which are collaboration and problem-solving, and design real problems and encourage students to discuss, negotiate, and argue based on collaborative problem-solving situations.

Second, teachers should design and implement mixed courses to cultivate learners’ critical thinking, utilizing the approach of collaborative problem-solving. Critical thinking can be taught through curriculum instruction (Kuncel, 2011 ; Leng and Lu, 2020 ), with the goal of cultivating learners’ critical thinking for flexible transfer and application in real problem-solving situations. This meta-analysis shows that mixed course teaching has a highly substantial impact on the cultivation and promotion of learners’ critical thinking. Therefore, teachers should design and implement mixed course teaching with real collaborative problem-solving situations in combination with the knowledge content of specific disciplines in conventional teaching, teach methods and strategies of critical thinking based on poorly structured problems to help students master critical thinking, and provide practical activities in which students can interact with each other to develop knowledge construction and critical thinking utilizing the approach of collaborative problem-solving.

Third, teachers should be more trained in critical thinking, particularly preservice teachers, and they also should be conscious of the ways in which teachers’ support for learning scaffolds can promote critical thinking. The learning scaffold supported by teachers had the greatest impact on learners’ critical thinking, in addition to being more directive, targeted, and timely (Wood et al., 2006 ). Critical thinking can only be effectively taught when teachers recognize the significance of critical thinking for students’ growth and use the proper approaches while designing instructional activities (Forawi, 2016 ). Therefore, with the intention of enabling teachers to create learning scaffolds to cultivate learners’ critical thinking utilizing the approach of collaborative problem solving, it is essential to concentrate on the teacher-supported learning scaffolds and enhance the instruction for teaching critical thinking to teachers, especially preservice teachers.

Implications and limitations

There are certain limitations in this meta-analysis, but future research can correct them. First, the search languages were restricted to English and Chinese, so it is possible that pertinent studies that were written in other languages were overlooked, resulting in an inadequate number of articles for review. Second, these data provided by the included studies are partially missing, such as whether teachers were trained in the theory and practice of critical thinking, the average age and gender of learners, and the differences in critical thinking among learners of various ages and genders. Third, as is typical for review articles, more studies were released while this meta-analysis was being done; therefore, it had a time limit. With the development of relevant research, future studies focusing on these issues are highly relevant and needed.

Conclusions

The subject of the magnitude of collaborative problem-solving’s impact on fostering students’ critical thinking, which received scant attention from other studies, was successfully addressed by this study. The question of the effectiveness of collaborative problem-solving in promoting students’ critical thinking was addressed in this study, which addressed a topic that had gotten little attention in earlier research. The following conclusions can be made:

Regarding the results obtained, collaborative problem solving is an effective teaching approach to foster learners’ critical thinking, with a significant overall effect size (ES = 0.82, z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]). With respect to the dimensions of critical thinking, collaborative problem-solving can significantly and effectively improve students’ attitudinal tendency, and the comprehensive effect is significant (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI [0.87, 1.47]); nevertheless, it falls short in terms of improving students’ cognitive skills, having only an upper-middle impact (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI [0.58, 0.82]).

As demonstrated by both the results and the discussion, there are varying degrees of beneficial effects on students’ critical thinking from all seven moderating factors, which were found across 36 studies. In this context, the teaching type (chi 2  = 7.20, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), and learning scaffold (chi 2  = 9.03, P  < 0.01) all have a positive impact on critical thinking, and they can be viewed as important moderating factors that affect how critical thinking develops. Since the learning stage (chi 2  = 3.15, P  = 0.21 > 0.05) and measuring tools (chi 2  = 0.08, P  = 0.78 > 0.05) did not demonstrate any significant intergroup differences, we are unable to explain why these two factors are crucial in supporting the cultivation of critical thinking in the context of collaborative problem-solving.

Data availability

All data generated or analyzed during this study are included within the article and its supplementary information files, and the supplementary information files are available in the Dataverse repository: https://doi.org/10.7910/DVN/IPFJO6 .

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Acknowledgements

This research was supported by the graduate scientific research and innovation project of Xinjiang Uygur Autonomous Region named “Research on in-depth learning of high school information technology courses for the cultivation of computing thinking” (No. XJ2022G190) and the independent innovation fund project for doctoral students of the College of Educational Science of Xinjiang Normal University named “Research on project-based teaching of high school information technology courses from the perspective of discipline core literacy” (No. XJNUJKYA2003).

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Xu, E., Wang, W. & Wang, Q. The effectiveness of collaborative problem solving in promoting students’ critical thinking: A meta-analysis based on empirical literature. Humanit Soc Sci Commun 10 , 16 (2023). https://doi.org/10.1057/s41599-023-01508-1

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4 Strategies for Sparking Critical Thinking in Young Students

Fostering investigative conversation in grades K–2 isn’t easy, but it can be a great vehicle to promote critical thinking.

In the middle of class, a kindergartner spotted an ant and asked the teacher, “Why do ants come into the classroom?” Fairly quickly, educational consultant Cecilia Cabrera Martirena writes , students started sharing their theories: Maybe the ants were cold, or looking for food, or lonely. 

Their teacher started a KWL chart to organize what students already knew, what they wanted to know, and, later, what they had learned. “As many of the learners didn’t read or write yet, the KWL was created with drawings and one or two words,” Cabrera Martirena writes. “Then, as a group, they decided how they could gather information to answer that first question, and some possible research routes were designed.” 

As early elementary teachers know, young learners are able to engage in critical thinking and participate in nuanced conversations, with appropriate supports. What can teachers do to foster these discussions? Elementary teacher Jennifer Orr considered a few ideas in an article for ASCD .

“An interesting question and the discussion that follows can open up paths of critical thinking for students at any age,” Orr says. “With a few thoughtful prompts and a lot of noticing and modeling, we as educators can help young students engage in these types of academic conversations in ways that deepen their learning and develop their critical thinking skills.”

While this may not be an “easy process,” Orr writes—for the kids or the teacher—the payoff is students who from a young age are able to communicate new ideas and questions; listen and truly hear the thoughts of others; respectfully agree, disagree, or build off of their peers’ opinions; and revise their thinking. 

4 Strategies for Kick-Starting Powerful Conversations

1. Encourage Friendly Debate: For many elementary-aged children, it doesn’t take much provoking for them to share their opinions, especially if they disagree with each other. Working with open-ended prompts that “engage their interest and pique their curiosity” is one key to sparking organic engagement, Orr writes. Look for prompts that allow them to take a stance, arguing for or against something they feel strongly about. 

For example, Orr says, you could try telling first graders that a square is a rectangle to start a debate. Early childhood educator Sarah Griffin proposes some great math talk questions that can yield similar results:

  • How many crayons can fit in a box?
  • Which takes more snow to build: one igloo or 20 snowballs?
  • Estimate how many tissues are in a box.
  • How many books can you fit in your backpack?
  • Which would take less time: cleaning your room or reading a book?
  • Which would you rather use to measure a Christmas tree: a roll of ribbon or a candy cane? Why?

Using pictures can inspire interesting math discussions as well, writes K–6 math coach Kristen Acosta . Explore counting, addition, and subtraction by introducing kids to pictures “that have missing pieces or spaces” or “pictures where the objects are scattered.” For example, try showing students a photo of a carton of eggs with a few eggs missing. Ask questions like, “what do you notice?” and “what do you wonder?” and see how opinions differ.

2. Put Your Students in the Question: Centering students’ viewpoints in a question or discussion prompt can foster deeper thinking, Orr writes. During a unit in which kids learned about ladybugs, she asked her third graders, “What are four living and four nonliving things you would need and want if you were designing your own ecosystem?” This not only required students to analyze the components of an ecosystem but also made the lesson personal by inviting them to dream one up from scratch.

Educator Todd Finley has a list of interesting writing prompts for different grades that can instead be used to kick off classroom discussions. Examples for early elementary students include: 

  • Which is better, giant muscles or incredible speed? Why?
  • What’s the most beautiful person, place, or thing you’ve ever seen? Share what makes that person, place, or thing so special. 
  • What TV or movie characters do you wish were real? Why? 
  • Describe a routine that you often or always do (in the morning, when you get home, Friday nights, before a game, etc.).
  • What are examples of things you want versus things you need? 

3. Open Several Doors: While some students take to classroom discussions like a duck to water, others may prefer to stay on dry land. Offering low-stakes opportunities for students to dip a toe into the conversation can be a great way to ensure that everyone in the room can be heard. Try introducing hand signals that indicate agreement, disagreement, and more. Since everyone can indicate their opinion silently, this supports students who are reluctant to speak, and can help get the conversation started. 

Similarly, elementary school teacher Raquel Linares uses participation cards —a set of different colored index cards, each labeled with a phrase like “I agree,” “I disagree,” or “I don’t know how to respond.” “We use them to assess students’ understanding, but we also use them to give students a voice,” Linares says. “We obviously cannot have 24 scholars speaking at the same time, but we want everyone to feel their ideas matter. Even if I am very shy and I don’t feel comfortable, my voice is still heard.” Once the students have held up the appropriate card, the discussion gets going.

4. Provide Discussion Sentence Starters: Young students often want to add their contribution without connecting it to what their peers have said, writes district-level literacy leader Gwen Blumberg . Keeping an ear out for what students are saying to each other is an important starting point when trying to “lift the level of talk” in your classroom. Are kids “putting thoughts into words and able to keep a conversation going?” she asks.

Introducing sentence starters like “I agree…” or “I feel differently…” can help demonstrate for students how they can connect what their classmate is saying to what they would like to say, which grows the conversation, Blumberg says. Phrases like “I’d like to add…” help students “build a bridge from someone else’s idea to their own.”

Additionally, “noticing and naming the positive things students are doing, both in their conversation skills and in the thinking they are demonstrating,” Orr writes, can shine a light for the class on what success looks like. Celebrating when students use these sentence stems correctly, for example, helps reinforce these behaviors.

“Students’ ability to clearly communicate with others in conversation is a critical literacy skill,” Blumberg writes, and teachers in grades K–2 can get students started on the path to developing this skill by harnessing their natural curiosity and modeling conversation moves.

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Literacy and Problem Solving

Problem-solving skills are closely tied to literacy. Literacy reaches beyond the process of reading to comprehension, critical thinking and decision making, which result in better problem-solving skills. These skills are highly valued not only in the workplace, but in many aspects of our lives. We use problem solving to make difficult situations better and find new ways of doing things.

“Reading is essentially a problem-solving task. Comprehending what is read, like problem solving, requires effort, planning, self-monitoring, strategy selection, and reflection.” – Q.E.D. Foundation

Models for Problem Solving

There are many problem-solving models and strategies to help teach critical thinking. They provide step-by-step processes we can use to address a challenge. One example is the ladder of inference. Developed by two Harvard professors in the 1970s, the ladder of inference explains the process of our assumptions and ultimately how we make our decisions. The video below offers a good explanation.

Understanding how the ladder of inference works allows us to back-up and reinterpret the data we’re receiving. By examining our own ladders, we can check our assumptions and help solve disagreements and other problems we encounter day to day.

Another problem-solving and decision-making model is the SODAS method. This stands for Situation, Options, Disadvantages, Advantages, and Select the best option. This method can be used with learners by presenting different real-life scenarios and by using role-playing. Students are presented with a problem situation, identify possible options to solve the problem and weigh the disadvantages and advantages of each option before coming to a solution. This method has been found to be particularly helpful in social situations.

We know that literacy includes much more than reading and writing. Problem solving is a life skill that assists us at home, at work and in the community. It is an essential component of the modern definition of literacy. For more problem-solving strategies and methods, check out the resources below.

  • Integrating Digital Literacy and Problem Solving into Instruction
  • Introduction to Problem Solving Skills
  • The Ladder of Inference
  • Problem solved! A guide for employees and learners
  • Problem Solving with SODAS
  • Reading as Problem Solving/Impact of Higher Order Thinking
  • UP Skills for Work – Problem Solving

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Posted: October 25, 2023 | Last updated: November 27, 2023

<p>Toddlers are often known for their candid and innocent remarks, but sometimes their comments can lead to awkward and embarrassing situations, especially in public. Here are some of the most hilarious and mortifying things toddlers have said in public, as shared by parents on a popular online forum.</p>

As parents, we play a vital role in shaping our children’s lives and preparing them for the future. From their earliest years, it is crucial to impart valuable life lessons that will lay a strong foundation for their personal and interpersonal growth. By teaching important skills and instilling essential values early on, parents can empower their children to navigate the complexities of life with confidence and resilience.

<p>Teaching children about respect is crucial for fostering healthy relationships and empathy. Encourage them to treat others, regardless of their differences, with kindness and consideration. By modeling respectful behavior and teaching them to appreciate diversity, you will help them develop strong interpersonal skills that will serve them well throughout their lives.</p>

1. The Value of Respect

Teaching children about respect is crucial for fostering healthy relationships and empathy. Encourage them to treat others, regardless of their differences, with kindness and consideration. By modeling respectful behavior and teaching them to appreciate diversity, you will help them develop strong interpersonal skills that will serve them well throughout their lives.

<p><span>One user was advised never to get a credit card or take out a long because that would cause them to end up in debt. However, they acknowledged that that was a surefire way to have zero credit and never be able to get a mortgage, a loan, some medical care, or some jobs nowadays. </span></p>

2. Financial Literacy

Instilling financial literacy from an early age sets the stage for a lifetime of responsible money management. Teach your children the value of saving, budgeting, and distinguishing between needs and wants. Explain the importance of delayed gratification and the concept of earning money through hard work. By equipping them with these skills, you empower them to make informed financial decisions in the future.

<p>One of the most complex parts of motherhood is figuring out where to draw the line between protecting and being a good parent and being overprotective and causing them more harm than good. </p> <p>If kids never get hurt, never fail, never have to do anything for themselves, and never experience any knocks, they will have a rough start to adulthood. It’s hard to watch your kids have to suffer, even in the slightest, but sometimes it’s necessary for their <a href="https://parentportfolio.com/growth-mindset-quotes/">growth and success</a>. Let them get knocked down sometimes so they know what to do. Let them be independent to an extent so they are prepared for adulthood. </p>

3. Emotional Intelligence

Emotional intelligence is a vital life skill that enables individuals to recognize and manage their own emotions, as well as understand and empathize with others. Teach your children to identify and express their feelings in a healthy manner. Encourage open communication and help them develop problem-solving skills to navigate conflicts effectively. By fostering emotional intelligence, you empower your children to build meaningful relationships and cope with challenges.

<p>When trying to figure out what a landlord cannot do, tenants often wonder if their landlord can just come into their home. A landlord must give the tenant at least 24-hour notice before entering the home in many states. However, a landlord may enter a tenant's home without giving proper notice if an emergency occurs, such as a fire or a medical issue.</p>

4. Independence and Responsibility

Nurturing independence and responsibility in children helps them develop self-confidence and self-reliance. Encourage them to take on age-appropriate responsibilities, such as tidying up after themselves, completing chores, and managing their time. Allow them to make decisions and experience the consequences of their actions within safe boundaries. By doing so, you teach them valuable life skills and help them become accountable individuals.

<p>Okay, this is an infuriating business practice, and it’s done to hinder cancellations. Several users confessed to having gym memberships that required cancellation in person. One signed up right before COVID hit years ago. Ultimately, they moved away, and the gym refused to cancel unless it was in person! The user confessed to paying $10 monthly still. Hey buddy, call your bank and stop the payment.</p>

5. The Power of Perseverance

Teaching children the value of perseverance instills resilience and determination. Encourage them to embrace challenges and view failures as learning opportunities. Teach them that success often requires effort, patience, and the ability to bounce back from setbacks. By instilling a growth mindset, you empower your children to develop a resilient attitude toward life’s obstacles.

Fear is a universal human emotion that manifests differently at various stages of life. While children often fear monsters under their beds or the dark, adults grapple with a distinct set of fears that may come as surprising. As we journey through adulthood, our experiences, responsibilities, and changing perspectives shape our fears in unexpected ways....

6. Empathy and Compassion

Empathy and compassion are essential qualities that promote kindness and understanding towards others. Teach your children to put themselves in someone else’s shoes and consider their feelings and perspectives. Encourage acts of kindness and teach them to stand up against bullying or unfair treatment. By fostering empathy, you help create a more inclusive and compassionate society.

<p><span>A user shared their experience as an intern one summer during college. They spent 95% of their time using SAP, importing it into Excel, cleaning data, and finally generating reports. After the first two weeks, he got the hang of the process and wrote Excel formulas to do 99% of the work. He turned a 9-to-5 day into a 1-hour work day and relaxed for the rest of the day.</span></p>

7. Digital Citizenship

In today’s digital age, it is crucial to educate children about responsible online behavior. Teach them about the potential risks of sharing personal information online and the importance of respecting others’ privacy. Encourage critical thinking and guide them to evaluate the credibility of online sources. By teaching digital citizenship, you equip your children with the tools to navigate the online world safely and responsibly.

<p>Many parents encourage their kids to eat their vegetables by exaggerating the benefits, such as claiming that carrots will improve their night vision. While it’s true that carrots contain vitamin A, which is essential for good vision, this lie can lead to misunderstandings and unrealistic expectations. It’s better to educate children about the importance of a balanced diet for overall health and well-being, rather than relying on fictional claims.</p>

8. The Importance of Healthy Habits

Instilling healthy habits in children sets the stage for a lifetime of well-being. Teach them the value of regular exercise, proper nutrition, and sufficient sleep. Encourage them to make healthy food choices and engage in physical activities they enjoy. By teaching them to prioritize their well-being, you empower them to lead a balanced and healthy lifestyle.

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9. The Art of Effective Communication

Effective communication is a fundamental skill that contributes to success in all areas of life. Teach your children to express themselves clearly, listen attentively, and practice active communication. Encourage them to use assertive rather than aggressive or passive communication styles. By nurturing their communication skills, you enable them to build strong relationships, resolve conflicts, and articulate their thoughts effectively.

<p>Teach your children problem-solving and critical thinking skills to help them navigate challenges and make informed decisions. Encourage them to analyze situations, brainstorm solutions, and evaluate the consequences of their actions. Foster creativity and open-mindedness, allowing them to explore different perspectives. By equipping them with these skills, you empower them to overcome obstacles and adapt to a rapidly changing world.</p>

10. Problem-Solving and Critical Thinking

Teach your children problem-solving and critical thinking skills to help them navigate challenges and make informed decisions. Encourage them to analyze situations, brainstorm solutions, and evaluate the consequences of their actions. Foster creativity and open-mindedness, allowing them to explore different perspectives. By equipping them with these skills, you empower them to overcome obstacles and adapt to a rapidly changing world.

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Teaching College-Level Disciplinary Literacy pp 197–226 Cite as

Mathematical Literacy and Critical Thinking

  • Estela Rojas 2 &
  • Nadia Benakli 2  
  • First Online: 29 April 2020

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The development of mathematical literacy enables students to become skilled critical thinkers and problem-solvers who have a better understanding of the world they live in. However, very often students are unable to understand the mathematical principles and apply them to real-life situations. In many college mathematics classrooms, the lessons focus only on abstract concepts and routine exercises. Mathematics teachers need to transform the way they present and deliver the concepts, which should be contextualized in real-life applications, in order to motivate the students and enable them to acquire the necessary skills to understand and utilize the mathematical language. Reading is essential to access the mathematical language, but many beginning college students lack the literacy skills to navigate the abstract concepts to acquire a deeper understanding of how mathematics works. Reading in mathematics involves not just literal and linear comprehension; the process requires a broad range of thinking and reasoning skills. In each stage of the reading process, students need to engage themselves in understanding words, symbols, and concepts; analyze problems; and apply content knowledge and mathematical models to solve problems.

Since the application of the math content requires both general and specialized vocabulary knowledge, student success in math courses requires the mastery of general and discipline-specific literacy skills. The lack of these skills generates obstacles for students to learn math effectively. This chapter discusses the development of observation, generating questions, communication, listening skills, implementation of vocabulary strategies, metacognitive skills, cooperative learning, and emotional intelligence to develop students’ disciplinary literacy. These skills are fundamental to acquire a solid critical thinking process.

  • Mathematical literacy
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Rojas, E., Benakli, N. (2020). Mathematical Literacy and Critical Thinking. In: But, J. (eds) Teaching College-Level Disciplinary Literacy. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-030-39804-0_8

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