Utilizing Decision-making Task: Students’ Mathematical Justification in Collaborative Problem Solving

Referencias

Bieda, K. N., Conner, A. M., Kosko, K. W., & Staples, M. (Eds). (2022). Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof. Springer International Publishing. https://doi.org/10.1007/978-3-030-80008-6 Brodie, K. (2010a). Pressing dilemmas: Meaning-making and justification in mathematics teaching. Journal of Curriculum Studies, 42(1), 27-50. https://doi.org/10.1080/00220270903149873 Brodie, K. (Ed.) (2010b). Teaching Mathematical Reasoning in Secondary School Classrooms. Springer US. https://doi.org/10.1007/978-0-387-09742-8 Carpenter, T. P., Levi, L., Berman, P. W., & Pligge, M. (2005). Developing algebraic reasoning in the elementary school. In T. A. Romberg, T. P. Carpenter & F. Dremock (Eds.), Understanding mathematics and science matters (pp. 81-98). Routledge. Chiu, M. M. (2008). Flowing toward correct contributions during group problem solving: A statistical discourse analysis. Journal of the Learning Sciences, 17(3), 415-463. https://doi.org/10.1080/10508400802224830 Chiu, M. M., & Khoo, L. (2003). Rudeness and Status Effects During Group Problem Solving: Do They Bias Evaluations and Reduce the Likelihood of Correct Solutions? Journal of Educational Psychology, 95(3), 506-523. https://doi.org/10.1037/0022-0663.95.3.506 Chua, B. L. (2016). Examining Mathematics Teachers justification And Assessment of Students justifications. Proceedings of the 40th Conference of the International, August. Chua, B. L. (2017). A Framework for Classifying Mathematical Justification Tasks. CERME 10, 115-122. https://hal.archives-ouvertes.fr/hal-01873071 Cirillo, M., Kosko, K. W., Newton, J., & Staples, M. (2016). White Paper 2016: Conceptions and Consequences of What We Call Argumentation, Justification, and Proof. April. https://doi.org/10.13140/RG.2.1.5132.0727 Cobb, P., Yackel, E., & Wood, T. (1992). Interaction and learning in mathematics classroom situations. Educational Studies in Mathematics, 23(1), 99-122. https://doi.org/10.1007/BF00302315 de Villiers, M. (1990). The role and function of proof in Mathematics. Pythagoras, 24(August), 17-23. Díez-Palomar, J., Chan, M. C. E., Clarke, D., & Padrós, M. (2021). How does dialogical talk promote student learning during small group work? An exploratory study. Learning, Culture and Social Interaction, 30, 100540. https://doi.org/10.1016/j.lcsi.2021.100540 Dillenbourg, P. (1999). What do you mean by collaborative learning?. In P. Dillenbourg (Ed.), Collaborative learning: Cognitive and computational approaches (Vol. 1, pp. 1-19). https://telearn.archives-ouvertes.fr/hal-00190240 Ellis, A. B., Staples, M., & Bieda, K. N. (2022). Justification Across the Grade Bands (pp. 287-297). https://doi.org/10.1007/978-3-030-80008-6_23 Hamidy, A., & Suryaningtyas, S. (2016). Kemampuan Justifikasi Matematis Siswa SMP Pada Materi Segitiga. Prosiding Seminar Nasional Pendidikan Matematika, 978-989. Heid, M. K., Hollebrands, K. F., & Iseri, L. W. (2002). Reasoning and Justification, with Examples from Technological Environments. The Mathematics Teacher, 95(3), 210-216. Jaffe, A. (1997). Proof and the Evolution of Mathematics. Synthese, 111(2), 133-146. http://www.jstor.org/stable/20117623 Jermann, P. (2004). Computer Support for Interaction Regulation in Collaborative Problem-Solving. Proceedings of Computer Support for Collaborative Learning, CSCL 2002, 340, 601-602. https://telearn.hal.science/hal-00197373 Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn Mathematics. National Academy Press. Küchemann, D., & Hoyles, C. (2006). Influences on students’ mathematical reasoning and patterns in its development: Insights from a Longitudinal study with particular reference to geometry. International Journal of Science and Mathematics Education, 4(4), 581-608. https://doi.org/10.1007/s10763-006-9039-6 Lai, E. R. (2011). Collaboration: A Literature Review. Pearson’s Research Reports. McClain, K., & Cobb, P. (2001). An Analysis of Development of Sociomathematical Norms in One First-Grade Classroom. Journal for Research in Mathematics Education, 32(3), 236-266. https://doi.org/10.2307/749827 Mueller, M. F. (2009). The co-construction of arguments by middle-school students. Journal of Mathematical Behavior, 28(2-3), 138-149. https://doi.org/10.1016/j.jmathb.2009.06.003 NCTM. (2000). Principles and Standards for School Mathematics. Author. Partanen, A. M., & Kaasila, R. (2015). Sociomathematical Norms Negotiated in the Discussions of Two Small Groups Investigating Calculus. International Journal of Science and Mathematics Education, 13(4), 927-946. https://doi.org/10.1007/s10763-014-9521-5 Rott, B., Specht, B., & Knipping, C. (2021). A descriptive phase model of problem-solving processes. ZDM - Mathematics Education, 53(4), 737-752. https://doi.org/10.1007/s11858-021-01244-3 Simon, M. A., & Blume, G. W. (1996). Justification in the mathematics classroom: A study of prospective elementary teachers. Journal of Mathematical Behavior, 15(1), 3-31. https://doi.org/10.1016/S0732-3123(96)90036-X Sowder, L., & Harel, G. (1998). Types of Students’ Justifications. The Mathematics Teacher, 91(8), 670-675. https://doi.org/10.5951/mt.91.8.0670 Staples, M. E., Bartlo, J., & Thanheiser, E. (2012). Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms. Journal of Mathematical Behavior, 31(4), 447-462. https://doi.org/10.1016/j.jmathb.2012.07.001 Staples, M., & Conner, A. (2022). Introduction: Conceptualizing Argumentation, Justi-fication, and Proof in Mathematics Education. In K. N. Bieda, A. Conner, K. W. Kosko, & M. Staples (Eds.), Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof (pp. 1-10). Springer. https://doi.org/10.1007/978-3-030-80008-6_1 Stylianou, D. A., & Blanton, M. L. (2002). Sociocultural factors in undergraduate mathematics: the role of explanation and justification. Proceedings of the Second Annual Conference on the Teaching of Mathematics. Tatsis, K. (2007). Investigating the influence of social and sociomathematical norms in collaborative problem solving. Cerme 5, 5(November), 1321-1330. Tatsis, K., & Koleza, E. (2008). Social and socio-mathematical norms in collaborative problem-solving. European Journal of Teacher Education, 31(1), 89-100. https://doi.org/10.1080/02619760701845057 Taylor, J.., & McDonald, C. (2007). Writing in groups as a tool for non-routine problem solving in first year university mathematics. International Journal of Mathematical Education in Science and Technology, 38(5), 639–655. https://doi.org/10.1080/00207390701359396 Thanheiser, E., & Sugimoto, A. (2022). Justification in the Context of Elementary Grades: Justification to Develop and Provide Access to Mathematical Reasoning. In K. N. Bieda, A. Conner, K. W. Kosko, & M. Staples (Eds.), Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof (pp. 35-48). Springer. https://doi.org/10.1007/978-3-030-80008-6_4 Vale, C., Widjaja, W., Herbert, S., Bragg, L. A., & Loong, E. Y. K. (2016). Mapping Variation in Children’s Mathematical Reasoning: The Case of ‘What Else Belongs?’ International Journal of Science and Mathematics Education, 15(5), 873-894. https://doi.org/10.1007/s10763-016-9725-y Walton, D. (2001). Abductive, presumptive and plausible arguments. Informal Logic, 21(2), 141-169. https://doi.org/10.22329/il.v21i2.2241 Whitacre, I., Azuz, B., Lamb, L. L. C., Bishop, J. P., Schappelle, B. P., & Philipp, R. A. (2017). Integer comparisons across the grades: Students’ justifications and ways of reasoning. Journal of Mathematical Behavior, 45, 47-62. https://doi.org/10.1016/j.jmathb.2016.11.001 Yackel, E. (2004). Theoretical perspectives for analyzing explanation, justification and argumentation in mathematics. Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education, 8(1), 1-18. Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458-477. https://doi.org/10.2307/749877