Investigasi Karakteristik Berpikir Matematis Kritis Siswa dalam Menyelesaikan Masalah Matematis Non Rutin

Aiyub Aiyub, Zulkifli Zulkifli

Abstract


Dalam makalah ini, kami melaporkan temuan dari sebuah studi kasus yang berusaha untuk mengidentifikasi karakteristik Berpikir Matematis Kritis (BMK) siswa dalam menyelesaikan masalah matematis non rutin. Karakteristik BMK awalnya dihasilkan dari sintesis literatur penelitian yang relevan dan di validasi menggunakan metodologi studi kasus terhadap siswa kelas 8 di salah satu SMP di Banda Aceh.  Makalah ini memberikan kerangka kerja untuk BMK yang disintesis dari literatur dan studi kasus dari seorang siswa untuk memberikan bukti tentatif bahwa penggunaan kemampuan BMK oleh siswa dapat diidentifikasi. Tujuan jangka panjang dari penelitian ini adalah untuk mengeksplorasi potensi untuk mempromosikan kemampuan BMK siswa dengan cara yang ditargetkan

Keywords


Berpikir Matematis, Berpikir Kritis, Masalah Matematis

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References


Bobis, J., Clarke, B., Clarke, D., Thomas, G., Wright, B., Young-Loveridge, J., & Gould, P. (2005). Supporting teachers in the development of young children’s mathematical thinking: Three large scale cases. Mathematics Education Research Journal, 16(3), 27–57. https://doi.org/10.1007/BF03217400

Burton, L. (1984). Mathematical Thinking: The Struggle for Meaning. Journal for Research in Mathematics Education, 15(1), 35-49. doi:10.2307/748986

Carpenter, T. P., Franke, M. L., Johnson, N. C., Turrou, A. C., & Wager, A. A. (2017). Young Children’s Mathematics: Cognitively Guided Instruction in Early Childhood Education. Heinemann.

Clarke, D., Clarke, B., & Roche, A. (2011). Building teachers’ expertise in understanding, assessing and developing children’s mathematical thinking: the power of task-based, one-to-one assessment interviews. ZDM – Mathematics Education,43(6-7), 901-913.

Cengiz, N., Kline, K., & Grant, T. J. (2011). Extending students’ mathematical thinking during whole-group discussions. Journal of Mathematics Teacher Education, 14(5), 355-374. doi:10.1007/s10857-011-9179- 7

Clements, D. (2020). Mathematics in the Preschool. Teaching Children Mathematics, 7(5), 270–275. https://doi.org/10.5951/tcm.7.5.0270

Clements, D. H., & Sarama, J. (2020). Learning and Teaching Early Math: The Learning Trajectories Approach, 2nd Edition. Learning and Teaching Early Math, May. https://doi.org/10.4324/9781003083528

Clements, D. H. (2001). Mathematics in the preschool. Teaching children mathematics, 7(5), 270

Doig, B., & Ompok, C. (2010). Assessing young children’s mathematical abilities through games. Procedia - Social and Behavioral Sciences, 8, 228–235. https://doi.org/10.1016/j.sbspro.2010.12.031

Florea, N. M., & Hurjui, E. (2015). Critical Thinking in Elementary School Children. Procedia - Social and Behavioral Sciences, 180, 565-572. doi:http://dx.doi.org/10.1016/j.sbspro.2015.02.161

Fraivillig, J. L., Murphy, L. A., & Fuson, K. C. (1999). Advancing children’s mathematical thinking in Everyday Mathematics classrooms. Journal for Research in Mathematics Education, 30(2), 148–170. https://doi.org/10.2307/749608

Ginsburg, H. P., Cannon, J., Eisenband, J., & Pappas, S. (2006). Mathematical thinking and learning. In Blackwell handbook of early childhood development (pp. 208–229). https://doi.org/10.4324/9781410607218

Jacobs, V. R., Lamb, L. L. C., & Philipp, R . A. (2010). Professional Noticing of Children's Mathematical Thinking. Journal for Research in Mathematics Education, 41(2), 169-202.

Johnson, L., Adams Becker, S., Cummins, M., Estrada, V., Freeman, A., and Hall, C. (2016). NMC Horizon Report: 2016 Higher Education Edition. Austin, Texas: The New Media Consortium

Monteleone, C., White, P., & Geiger, V. (2018). Defining the Characteristics of Critical Mathematical Thinking. July, 559–566. https://eric.ed.gov/?id=ED592443

Organisation for Economic Co-operation and Development. (2018). The Programme for International Student Assessment (PISA) 2015: Results in Focus. France.

Peraturan Menteri Pendidikan dan Kebudayaan Republik Indonesia: Nomor 37 Tentang Perubahan Kurikulum 2013, (2018).

Sarama, J., & Clements, D., H. (2009). Early Childhood Mathematics Education Research: Learning Trajectories for Young Children: Routledge: Taylor & Francis Group.

Sarama, J., Lange, A. A., Clements, D. H., & Wolfe, C. B. (2012). The impacts of an early mathematics curriculum on oral language and literacy. Early Childhood Research Quarterly, 27(3), 489–502. https://doi.org/10.1016/j.ecresq.2011.12.002

Stake, R. (1995). The art of case study. London: SAGE Publications.

Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building Student Capacity for Mathematical Thinking and Reasoning: An analysis of Mathematical Tasks Used in Reform Classrooms. American Educational Research Journal, 33(2), 455-488.

Sternberg, R. J. (1986). Critical Thinking: Its Nature, Measurement and Improvement. In National Institute of Education, Washington, DC.




DOI: https://doi.org/10.17509/sigmadidaktika.v9i2.53088

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