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Published: 2023-11-30

Assessment of critical mathematical thinking skills: A literature review

Universitas Islam Negeri Mataram
Assessment Critical Thinking Skills Mathematics



[English]: This study aims to review several previous studies concerning the assessment of critical thinking skills in mathematics learning. This study used the method known as Preferred Reporting Items for Systematic reviews and Meta-Analyses (PRISMA), consisting of four stages: identification, screening, eligibility, and inclusion. SCOPUS database was used as the main source in the document selection since it is considered one of the most accurate international indexing systems. The detailed document selection was carried out in the following order: (1) the identification was performed by restricting the SCOPUS database search on the context of critical thinking assessment in mathematics learning and resulted in 147 documents; (2) the first screening based on a restriction of year range (the last 10 years: from 2013 to 2023) resulted in 121 documents and the second screening based on the types of documents (journal articles and conference papers) resulted in 102 documents; (3) in the eligibility stage, 19 documents were found to be relevant to the subject area of mathematics learning; and (4) in the inclusion stage, 11 documents were selected manually based on the keywords and citation and used as the review materials in this study. The existing studies reveal the importance of critical thinking in mathematics learning and present various approaches and instruments that can be adopted to assess the critical thinking skills in the context of mathematics learning. However, the facts about the peculiarities of critical thinking are still unresolved due to the abundance of theories according to different perspectives, thus causing the emergence of various measurement standards on critical thinking skills in mathematics learning. Therefore, the definition of critical thinking in a more specific context, such as mathematics learning, needs to be established, and the instruments used to assess the critical thinking skills in this specific context need to be developed.

[Bahasa]: Studi ini bertujuan meninjau sejumlah literatur mengenai asesmen terhadap keterampilan berpikir kritis dalam pembelajaran matematika. Studi ini menggunakan metode Preferred Reporting Items for Systematic reviews and Meta-Analyses (PRISMA), yang meliputi empat tahap: identification, screening, eligibility, dan inclusion. Seleksi dokumen mengambil sumber dari database SCOPUS, yang merupakan salah satu sistem pengindeksan internasional paling akurat. Detail seleksi dokumen dilakukan sesuai urutan berikut: (1) identification dengan membatasi pencarian SCOPUS pada konteks penilaian berpikir kritis dalam pembelajaran matematika menghasilkan 147 dokumen; (2) screening pertama berdasarkan pembatasan rentang tahun (10 tahun terakhir: dari 2013 sampai 2023) menghasilkan 121 dokumen dan screening kedua berdasarkan tipe dokumen (journal article dan conference paper) menghasilkan 102 dokumen; (3) pada tahap eligibility, ditemukan 19 dokumen yang relevan dengan topik pembelajaran matematika; dan (4) pada tahap inclusion, ditemukan 11 dokumen yang diseleksi secara manual berdasarkan kata kunci dan artikel yang telah disitasi dan kemudian menjadi materi tinjauan dalam studi ini. Hasil studi ini menunjukkan pentingnya berpikir kritis dalam pembelajaran matematika, serta menyajikan berbagai pendekatan serta instrumen yang dapat digunakan untuk mengasesmen keterampilan berpikir kritis dalam konteks pembelajaran matematika. Namun, fakta tentang kekhasan dalam berpikir kritis masih belum terselesaikan karena banyaknya teori menurut sudut pandang yang berbeda, sehingga membuat standar pengukuran dan penilaian berpikir kritis dalam pembelajaran matematika pun menjadi berbeda-beda. Oleh karena itu, pendefinisian berpikir kritis pada konteks yang lebih spesifik, seperti pembelajaran matematika, perlu dilakukan, dan instrumen yang digunakan untuk mengasesmen keterampilan berpikir kritis dalam pembelajaran matematika perlu dikembangkan.


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  1. Abosalem, Y. (2016). Assessment techniques and students’ higher-order thinking skills. International Journal of Secondary Education, 4(1), 1-11.
  2. Anggraini, S., Setyaningrum, W., Retnawati, H., & Marsigit. (2020). How to improve critical thinking skills and spatial reasoning with augmented reality in mathematics learning? Journal of Physics: Conference Series, 1581(1), 012066.
  3. Animasaun, I. L., & Abegunrin, O. A. (2017). Gender difference, self-efficacy, active learning strategies and academic achievement of undergraduate students in the Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria. International Journal of Teaching and Case Studies, 8(4), 255.
  4. De Zeeuw, A., Craig, T., & You, H. S. (2013). Assessing conceptual understanding in mathematics. 2013 IEEE Frontiers in Education Conference (FIE), 1742–1744.
  5. Dewey, J. (1933). How we think: A restatement of the relation of reflective thinking to the educative process. Boston, MA: D.C. Heath & Co Publishers.
  6. Elder, L., & Paul, R. (2008). The thinker’s guide to intellectual standards: The words that name them and the criteria that define them. Foundation for Critical Thinking Press.
  7. Ennis, R. H. (2018). Critical thinking across the curriculum: A vision. Topoi, 37(1), 165-184.
  8. Ennis, R. H. (2011). The nature of critical thinking: An outline of critical thinking dispositions and abilities. Inquiry: critical thinking across the disciplines, 26(2), 4.
  9. Ennis, R. H. (2015). Critical thinking: A streamlined conception. In M. Davies & R. Barnett (Eds.), The palgrave handbook of critical thinking in higher education (pp. 31–47). Palgrave Macmillan US.
  10. Ennis, R. H., Millman, J., & Tomko, T. N. (1985). Cornell critical thinking tests. Midwest Publications.
  11. Ennis, R. H., & Weir, E. (1985). The ennis-weir critical thinking essay test. Midwest Publication.
  12. Erikson, M. G., & Erikson, M. (2019). Learning outcomes and critical thinking – good intentions in conflict. Studies in higher education, 44(12), Article 12.
  13. Evendi, E., Kusaeri, A. K. A., Pardi, M. H. H., Sucipto, L., Bayani, F., & Prayogi, S. (2022). Assessing students’ critical thinking skills viewed from cognitive style: Study on implementation of problem-based e-learning model in mathematics courses. Eurasia Journal of Mathematics, Science and Technology Education, 18(7), em2129.
  14. Evendi, E., & Verawati, N. N. S. P. (2021). Evaluation of student learning outcomes in problem-based learning: study of its implementation and reflection of successful factors. Jurnal Penelitian Pendidikan IPA, 7(Special Issue), 69–76.
  15. Facione, N. C., Facione, P. A., & Sanchez, C. A. (1994). Critical thinking disposition as a measure of competent clinical judgment: The development of the california critical thinking disposition inventory. Journal of Nursing Education, 33(8), 345–350.
  16. Faradillah, A., & Adlina, S. (2021). Validity of critical thinking skills instrument on prospective Mathematics teachers. Jurnal Penelitian Dan Evaluasi Pendidikan, 25(2), 126-137.
  17. Herpiana, R., & Rosidin, U. (2018). Development of instrument for assessing students’ critical and creative thinking ability. Journal of Physics: Conference Series, 948, 012054.
  18. Kimmel, H. S., Burr-Alexander, L. E., Hirsch, L., Rockland, R. H., Carpinelli, J. D., & Aloia, M. (2014). Pathways to effective K-12 STEM programs. 2014 IEEE Frontiers in Education Conference (FIE) Proceedings, 1–6.
  19. Krathwohl, D. R. (2002). A revision of bloom’s taxonomy: An overview. Theory Into Practice, 41(4), 212–218.
  20. Krejci, S. E., Ramroop-Butts, S., Torres, H. N., & Isokpehi, R. D. (2020). Visual literacy intervention for improving undergraduate student critical thinking of global sustainability issues. Sustainability, 12(23), 10209.
  21. Lai, E. R. (2011). Critical thinking: A literature review (pp. 1–50).
  22. Leach, S. M., Immekus, J. C., French, B. F., & Hand, B. (2020). The factorial validity of the cornell critical thinking tests: A multi-analytic approach. Thinking Skills and Creativity, 37, 100676.
  23. Liu, O. L., Frankel, L., & Roohr, K. C. (2014). Assessing critical thinking in higher education: Current state and directions for next-generation assessment: Assessing critical thinking in higher education. ETS Research Report Series, 2014(1), 1–23.
  24. Maulyda, M. A. (2020). Paradigma pembelajaran matematika berbasis NCTM. CV IRDH Malang.
  25. Naidoo, J., & Reddy, S. (2023). Embedding sustainable mathematics higher education in the fourth industrial revolution era post-COVID-19: Exploring Technology-Based Teaching Methods. Sustainability, 15(12), 9692.
  26. National Council of Teachers of Mathematics. (2000). Principles, standards, and expectations—national council of teachers of mathematics.,-Standards,-and-Expectations/
  27. O’Hare, L., & McGuinness, C. (2015). The validity of critical thinking tests for predicting degree performance: A longitudinal study. International Journal of Educational Research, 72, 162–172.
  28. Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., Shamseer, L., Tetzlaff, J. M., Akl, E. A., Brennan, S. E., Chou, R., Glanville, J., Grimshaw, J. M., Hróbjartsson, A., Lalu, M. M., Li, T., Loder, E. W., Mayo-Wilson, E., McDonald, S., … Moher, D. (2021). The PRISMA 2020 statement: An updated guideline for reporting systematic reviews. Systematic Reviews, 10(1), 89.
  29. Papic, M. (2015). An Early Mathematical patterning assessment: Identifying young australian indigenous children’s patterning skills. Mathematics Education Research Journal, 27(4), 519–534.
  30. Prayogi, S., Yuanita, L., & Wasis. (2018). Critical inquiry based learning: A model of learning to promote critical thinking among prospective teachers of physic. Journal of Turkish Science Education, 15(1), 43-56.
  31. Quinn, S., Hogan, M., Dwyer, C., Finn, P., & Fogarty, E. (2020). Development and validation of the student-educator negotiated critical thinking dispositions scale (SENCTDS). Thinking Skills and Creativity, 38, 100710.
  32. Salamah, D. P. (2020). Analisis kesalahan berdasarkan newman error analysis terhadap materi peluang kejadian majemuk ditinjau dari gender dan self confidence pada siswa elas XII SMK di bandung barat. JPMI (Jurnal Pembelajaran Matematika Inovatif), 3(4), Article 4.
  33. Samritin, S., & Suryanto, S. (2016). Developing an assessment instrument of junior high school students’ higher order thinking skills in mathematics. Research and Evaluation in Education, 2(1), 92-107.
  34. Sarkingobir, Y., Egbebi, L. F., & Awofala, A. O. A. (2023). Bibliometric analysis of the thinking styles in math and its’ implication on science learning. International Journal of Essential Competencies in Education, 2(1), 75–87.
  35. Sontgerath, S., & Meadows, R. N. (2018). A comparison of changes in science interest and identity and 21st century learning skills in a mixed-gender and single-gender robotics program for elementary/ middle school youth. CoNECD 2018 - Collaborative Network for Engineering and Computing Diversity Conference, 164476, 1–12.
  36. Spector, J. M., & Ma, S. (2019). Inquiry and critical thinking skills for the next generation: From artificial intelligence back to human intelligence. Smart Learning Environments, 6(8), 1-11.
  37. Sudrajat, A. K. (2018). Pengembangan asesmen formatif pada materi sistem sirkulasi untuk mengukur kemampuan berpikir kritis siswa kelas XI SMA laboratorium UM. Jurnal Penelitian Pendidikan, 18(3), 243–251.
  38. Suhirman, S., & Prayogi, S. (2023). Overcoming challenges in STEM education: A literature review that leads to effective pedagogy in STEM learning. Jurnal Penelitian Pendidikan IPA, 9(8), 432–443.
  39. Tanjung, H. S., Nababan, S. A., Sa’dijah, C., & Subanji. (2020). Development of assessment tools of critical thinking in mathematics in the context of HOTS. Advances in Mathematics: Scientific Journal, 9(10), 8659–8667.
  40. Tanujaya, B., Indra Prahmana, R. C., & Mumu, J. (2021). Mathematics instruction to promote mathematics higher-order thinking skills of students in indonesia: Moving forward. TEM Journal, 10(4), 1945–1954.
  41. Verawati, N. N. S. P., Prayogi, S., Yusup, M. Y., & Taha, H. (2020). Development of the test instrument for measuring students’ critical thinking abilities on fluid material. Prisma Sains : Jurnal Pengkajian Ilmu Dan Pembelajaran Matematika Dan IPA IKIP Mataram, 8(1), 46-56.
  42. Watson, G., & Glaser, E. M. (1980). Watson-glaser critical thinking appraisal, forms A and B manual. The Psychological Corporation New York.
  43. Werner, P. H. (1991). The ennis-weir critical thinking essay test: An instrument for testing and teaching (Test Review). Journal of Reading, 34(6), 494–495.
  44. Widiyawati, Y., Nurwahidah, I., Sari, D. S., Masykuri, M., & Budiyanto, C. W. (2020). STEM-Project based learning integration on bioacoustics worksheet to enhance critical thinking skills. Proceedings of the 4th International Conference on Learning Innovation and Quality Education, 137, 1–7.
  45. Wiliam, D. (2013). Assessment: The bridge between teaching and learning. Voices from the Middle, 21(2), 15–20.
  46. Wirzal, M. D. H., Nordin, N. A. H. M., Bustam, M. A., & Joselevich, M. (2022). Bibliometric analysis of research on scientific literacy between 2018 and 2022: Science education subject. International Journal of Essential Competencies in Education, 1(2), 69–83.

How to Cite

Evendi, E., Retnawati, H., & Istiyono, E. (2023). Assessment of critical mathematical thinking skills: A literature review. Beta: Jurnal Tadris Matematika, 16(2), 85–97.