ASSESSMENT OF MATHEMATICS CRITICAL THINKING: A SYSTEMATIC REVIEW
DOI:
https://doi.org/10.31000/prima.v10i1.15405Kata Kunci:
assessment, critical thinking mathematics, systematic reviewAbstrak
This study presents a systematic review of research on the assessment of mathematical critical thinking published between 2018 and 2025. The review was conducted using the PRISMA method to obtain a comprehensive understanding of research characteristics, assessment designs, the dimensions of critical thinking evaluated, and the mathematical content used across various studies. The findings indicate a significant increase in scholarly attention toward mathematical critical thinking, reflected in the growing number of publications across different educational levels and geographic regions, particularly in Asia. The methodological diversity found in the studies, including experimental, quasi-experimental, qualitative, survey-based, and research and development approaches demonstrates that assessing critical thinking requires flexible and context-sensitive strategies. Further analysis reveals that the critical thinking skills evaluated in the studies include analysis, evaluation, interpretation, inference, generalization, mathematical modeling, and argument construction. The mathematical content assessed is similarly varied, ranging from algebra, geometry, statistics, calculus, and discrete mathematics to modeling and complex analysis. These findings show that mathematical critical thinking is a multidimensional competency relevant to all areas of mathematics. Overall, the results highlight the need for developing authentic, valid, and curriculum-aligned assessment instruments to strengthen students’ mathematical reasoning and support the demands of 21st century learning.
Referensi
Alsaleh, NJ (2020). Teaching Critical Thinking Skills: Literature Review. TOJET: The Turkish Online Journal of Educational Technology, 19(1), 21–39.
Ahdhianto, E., & Nurfauzi, Y. (2021). Improving Fifth-Grade Students' Mathematical Problem-Solving and Critical Thinking Skills Using Problem-Based Learning. Universal Journal of Educational Research, 8 (5), 2012–2021. https://doi.org/10.13189/ujer.2020.080539.
Ariza, MR, Armenteros, AQ, Castro, AE, & Armenteros, AQ (2024). Promoting Critical Thinking Through Mathematics and Science Teacher Education: the Case of Argumentation and Graphs Interpretation about Climate Change. European Journal of Teacher Education, 47(1), 41–59. https://doi.org/10.1080/02619768.2021.1961736.
Asigigan, S. İ., & Samur, Y. (2021). The Effect of Gamified STEM Practices on Students' Intrinsic Motivation, Critical Thinking Disposition Levels, and Perception of Problem-Solving Skills. International Journal of Education in Mathematics, Science, and Technology (IJEMST) , 9(2), 332–352. https://doi.org/10.46328/ijemst.1157.
Bai, Y., Liang, H., Qi, C., & Zuo, S. (2023). An Assessment of Eighth Graders' Mathematics Higher Order Thinking Skills in the Chinese Context. Canadian Journal of Science, Mathematics and Technology Education, 23(2), 365–382. https://doi.org/10.1007/s42330-023-00279-w.
Barana, A., Marchisio, M., & Roman, F. (2023). FOSTERING PROBLEM SOLVING AND CRITICAL THINKING IN MATHEMATICS THROUGH GENERATIVE ARTIFICIAL INTELLIGENCE. CELDA Conference Proceedings, Celda, 377–385.
Benedicto, PNF, & Andrade, R.R. (2022). Problem-Based Learning Strategies and Critical Thinking Skills Among Pre-Service Teachers. International Journal of Science, Technology, Engineering and Mathematics , 2(2), 1–28. https://doi.org/10.53378/352885.
Burkhardt. (2007). Mathematical proficiency: What is important? How can it be measured. Assessing Mathematical Proficiency, 77–97.
Cresswell, C., & Speelman, C. P. (2020). Does mathematics training lead to better logical thinking and reasoning? A cross-sectional assessment from students to professors. PloSone , 15(7), e0236153.
Dailo, A.E., & Dailo, R.R. (2022). Differentiated Instruction in Mathematics: Its Effect on the Level of Critical Thinking Skills of Grade 7 Students. APJAET: Asia Pacific Journal of Advanced Education and Technology, September, 413–425.
Davies, W. M. (2006). An 'infusion' approach to critical thinking : Moore on the critical thinking debate. Higher Education Research & Development, 25(2). https://doi.org/10.1080/07294360600610420.
Drijvers, P., Kodde-buitenhuis, H., & Doorman, M. (2019). Assessing mathematical thinking as part of curriculum reform in the Netherlands. Educational Studies in Mathematics, 435–456. https://doi.org/https://doi.org/10.1007/s10649-019-09905-7.
Ellerton, P. (2018). On critical thinking and collaborative inquiry. In Forthcoming, and to be presented at the SFU critical thinking round table in February.
Ennis, R. H. (1985). A Logical Basis for Measuring Critical Thinking Skills. Educational Leadership, 45–48.
Erdoğan, F. (2020). The relationship between prospective middle school mathematics teachers' critical thinking skills and reflective thinking skills. PER: Participatory Educational Research, 7 (March), 220–241.
Facione, & A, P. (1990). Critical Thinking: A Statement of Expert Consensus for Purposes of Educational Assessment and Instruction. In California: The California Academic Press. The California Academic Press.
Facione, & A, P. (2011). Critical Thinking: What It Is and Why It Counts. In Insight assessment (Issue ISBN 13: 978-1-891557-07-1.). https://www.insightassessment.com/CT-Resources/Teaching-For-and-About-Critical-Thinking/Critical-Thinking-What-It-Is-and-Why-It-Counts/Critical-Thinking-What-It-Is-and-Why-It-Counts-PDF.
Facione, N.C., & Facione, P.A. (2008). Critical Thinking and Clinical Judgment. Critical Thinking and Clinical Reasoning in the Health Sciences: A Teaching Anthology , 1–9.
Feriyanto, & Putri, R. (2020). Developing Mathematics Module Based on Literacy and Higher Order Thinking Skills (HOTS) Questions to Train Critical Thinking Ability of High School Students in Mojokerto. Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/1594/1/012014.
Fernando, L., Gálvez, P., Rodrigo, J., Granada, G., & Moreno, D. B. (2023). Strengthening Critical Thinking in Engineering Students through Mathematics: The Power of Attitudes. Journal of Hunan University (Natural Sciences ), 50(7).
Galotti, K. M., & Mark, M. C. (1994). How do high school students structure an important life decision? A short-term longitudinal study of the college decision-making process. Research in Higher Education, 35(5), 589-607.
Garcia, VLC, & Cruz, JMM Dela. (2025). Assessing learners' critical thinking skills in solving word problems in mathematics Vincent. PANTAO: International Journal of the Humanities and Social Sciences, 4(2), 1240–1244.
Güner, P., & Gökçe, S. (2021). Linking Critical Thinking Disposition, Cognitive Flexibility and Achievement: Math Anxiety's Mediating Role. The Journal of Educational Research, 114(5), 458–473. https://doi.org/10.1080/00220671.2021.1975618.
Halpern, D.F. (2014). Thought and Knowledge an Introduction to Critical Thinking.
Insorio, A.O., & Librada, A.R.P. (2021). Enhancing Mathematical Critical Thinking and Problem-Solving Skills through Emergenetics ® as a Grouping Mechanism. Contemporary Mathematics and Science Education, 2(1), 1–10.
Ismail, SN, Muhammad, S., Omar, MN, Shanmugam, SKS, & Campus, KB (2022). The practice of critical thinking skills in teaching mathematics: Teachers' perception and readiness. Malaysian Journal of Learning and Instruction, 1(1), 1–30. https://doi.org/10.32890/mjli2022.19.1.1.
Jamil, M., Bokhari, T. B., & Iqbal, J. (2024). Incorporation of Critical Thinking Skills Development: A Case of Mathematics Curriculum for Grades I-XII. Journal of Asian Development Studies, 13(1), 375–382. https://doi.org/10.62345/jads.2024.13.1.32.
Jensen, MN og TH (2002). Competence and mathematics learning ideas and inspiration for learning.
Kanwal, S., Mahmood, W., Akram, M., & Pervez, N. (2024). Effect of Critical Thinking Skills on Misconceptions of Students in Learning Mathematics at the Elementary School Level. The Critical Review of Social Sciences Studies, 2(2), 818–839.
Kayaalp, F., Meral, E., Simsek, U., & Sahin, IF (2020). A Search for a Method to Improve Critical Thinking Skills in Social Studies Teaching: Writing-to-Learn. RIGEO: Review of International Geographical Education, 10(3), 400–430. //www.rigeo.org/vol10no3/Number3Summer/RIGEO-V10-N3-7.pdf.
Koh, K. H., & Velayutham, R. L. (2009). Improving Teachers' Assessment Literacy in Singapore Schools An Analysis of Teachers' Assessment Tasks and Student Work. Research Briefs, 09 .
Koh, K. H. (2017). Authentic assessment. In Oxford research encyclopedia of education.
Lai, E.R. (2011). Critical Thinking: A Literature Review. Pearson's Research Report, 6(1), 40–41.
Lipman, M. (1988). Critical Thinking- What Can It Be? Educational Leadership, 46(1), 38–43.
Lipman, M. (2003). Thinking in Education. In Cambridge University Press. https://doi.org/10.22329/il.v24i1.2134.
Monteleone, C., White, P., & Geiger, V. (2018). Defining the Characteristics of Critical Mathematical Thinking. Proceedings of the 41st Annual Conference of MERGA, 559–566.
Moodley, T., Adendorff, S. A., & Pather, S. (2015). At-risk student teachers' attitudes and aspirations as learners and teachers of mathematics. South African Journal of Childhood Education, 5(3), 1-10.
Moore, T. (2013). Critical thinking: Seven definitions in search of a concept. Studies in Higher Education, 38(4). https://doi.org/10.1080/03075079.2011.586995.
Nakagawa, Y., & Saijo, T. (2020). Future Design as a Metacognitive Intervention for Presentism. Sustainability, 12(18), 1–15.
NCTM. (1989). Curriculum and evaluation standards for school mathematics. National Council of Teachers of Mathematics.
NCTM. (1995). The Assessment Principle: Broadening Preservice Teachers'. National Council of Teachers of Mathematics
.
NCTM. (2000). Principles and Standards for School Mathematics. In National Council of Teachers of Mathematics.
Nortvedt, G. A., & Buchholtz, N. (2018). Assessment in mathematics education : responding to issues regarding methodology, policy, and equity. ZDM, 50(4), 555–570. https://doi.org/10.1007/s11858-018-0963-z.
Page, MJ, McKenzie, JE, Bossuyt, PM, Boutron, I., Hoffmann, TC, Mulrow, CD, Shamseer, L., Tetzlaff, JM, Akl, EA, Brennan, SE, Chou, R., Glanville, J., Grimshaw, JM, Hróbjartsson, A., Lalu, MM, Li, T., Loder, E.W., Mayo-Wilson, E., McDonald, S., … Moher, D. (2021). The PRISMA 2020 statement: An updated guideline for reporting systematic reviews. Journal of Clinical Epidemiology , 134 , 178–189. https://doi.org/10.1016/j.jclinepi.2021.03.001.
Priatna, N., Lorenzia, SA, & Widodo, SA (2020). STEM education at junior high school mathematics course for improving the mathematical critical thinking skills. JEGYS: Journal for the Education of Gifted Young Scientists, 8(3), 1173–1184.
Ramadhan, GA, Syaifuddin, M., & Azmi, RD (2024). Development of MCA-Contextual Crossword Media to Enhance Students' Interest and Critical Thinking in Mathematics. Journal of Hunan University (Natural Sciences), 51(9).
Resnick, L.B., & Science National Research Council (US). Committee on Research in Mathematics. (1987). Education and learning to think.
Rogovaya, O., Larchenkova, L., & Gavronskaya, Y. (2019). Critical thinking in STEM (science, technology, engineering, and mathematics). ArtÃculos: UtopÃa y Praxis Latinoamericana, 32–41.
Romberg, T. A. (Ed.). (1995). Reform in school mathematics and authentic assessment. SUNY Press.
Schoenfeld, A.H. (2007). Assessing mathematical proficiency. Mathematical Sciences Research Institute Publications.
Setyawan, F., Prasetyo, PW, & Nurnugroho, BA (2020). Developing complex analysis textbook to enhance students' critical thinking. JRAMathEdu: Journal of Research and Advances in Mathematics Education, 5(1), 26–37. https://doi.org/10.23917/jramathedu.v5i1.8741.
Shovkova, O. (2019). Better Learning Through Cognitive Monitoring: Developing Students' Critical Thinking. ПРОБЛЕМИ КОГÐІТИВÐОЇ ПСИХОЛОГІЇ , 9 , 57–65. https://doi.org/10.25264/2415-7384-2019-9-57-65.
Siswono, TYE (2010). Leveling Students' Creative Thinking in Solving and Posing Mathematical Problems. Indonesian Mathematical Society Journal on Mathematics Education, 1(1), 17–40.
Sosa-gutierrez, F., Mark, H., Apaza, V., Valdivia-yábar, S.V., & Willam, W. (2024). Critical Thinking and Teaching Mathematics: An Analysis from Education. International Journal of Religion, 3538(9), 958–976.
Syahri, AA, Akib, I., & Sukmawati. (2024). The Need for Development of Meaningful E-Module Teaching Materials to Optimize Mathematics Learning with a Focus on Critical Thinking Skills. PPSDP International Journal of Education, 3 (October), 102–110.
Syaiful, S., Muslim, M., Huda, N., Mukminin, A., & Habibi, A. (2019). Communication skills and mathematical problem solving ability among junior high schools students through problem-based learning. International Journal of Scientific & Technological Research, 8(11).
Syaiful, Huda, N., Mukminin, A., & Kamid. (2022). Using a Metacognitive Learning Approach to Enhance Students' Critical Thinking Skills Through Mathematics Education. SN Social Sciences A SPRINGER NATURE Journal, 2(4), 1–26. https://doi.org/10.1007/s43545-022-00325-8.
Syaiful, S., Mukminin, A., & Puspayanti, P. (2025). Using APOS theory in learning basic mathematics to promote students' mathematical critical thinking skills. Discover Education. https://doi.org/10.1007/s44217-025-00863-2.
Umam, A., Suparmi, & Sukarmin. (2020). Analysis of critical thinking skill profile on the concept of simple harmonic motion using two tier instrument test. Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/1567/3/032085.
Watson, G. (1980). Watson-Glaser critical thinking appraisal (Vol. 3). San Antonio, TX: Psychological Corporation.
Watson, G., & Glaser, E. (2002). Watson – Glaser Critical Thinking Appraisal – UK Edition Practice Test. Pearson, 1–15. http://www.careers.cam.ac.uk/library/criticalthinkingpracticetest.pdf.
Wiggins, G. (2011). A true test: Toward more authentic and equitable assessment. Phi Delta Kappan , 92(7), 81-93.
Zafarghandi, M.S., Shamir, A.S., & Shamsolahi, M. (2020). A Comparative Study of Fifth Grade Mathematics Textbooks in Iranian and International Schools based on Critical Thinking Components. Iranian Journal of Comparative Education, 3(1), 624–635. https://doi.org/10.22034/IJCE.2020.214609.1088.
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