Teachers Promoting Mathematical Reasoning in Tasks
Abstract
The phenomenon today in schools is that teachers rarely build student arguments but only accept students' answers. However, teacher activities that always make students 'arguments and support each solution and defend students' arguments without long debates are relevant and exciting to study. This study aims to explain and explore the promotion of mathematics teacher reasoning in tasks in the classroom. The author surveyed teachers who teach mathematics at the junior high level. This research is a qualitative descriptive study with an experimental research design, which begins with a survey of teachers who teach mathematics at the junior high school level in Maluku Province. First, the authors conducted initial observations for one month in several junior high schools in Maluku Province with the guide of the observation instrument for the promotion of teacher reasoning in learning. Second, the writer states that there are three groups of attractive teachers who can promote mathematical reasoning in each of their teachings based on indicators of teachers' mathematical reasoning. Third, the writer created the same math problems for the three teachers and observed how they built students' reasoning and evaluated their thinking efficiently. Finally, the results and surveys were carried out by triangulation with direct trials on seven classes at the junior high level. The results show how teacher actions promoting mathematical reasoning give generalizations or justifications. Teacher actions supporting precise rationale are discussed in more detail in this article.
Keywords
Full Text:
DOWNLOAD [PDF]References
Abdillah, A., Mastuti, A. G., Rijal, M., & Sehuwaky, N. (2022). Islamic Integrated Information Communication Technology Mathematics Learning Model for Students’ Creativity and Environmental Awareness. JTAM (Jurnal Teori Dan Aplikasi Matematika), 6(1), 194–211. https://doi.org/10.31764/jtam.v6i1.5755
Abramovich, S., Grinshpan, A. Z., & Milligan, D. L. (2019). Teaching Mathematics through Concept Motivation and Action Learning. Education Research International, 2019(April), 1–13. https://doi.org/10.1155/2019/3745406
As’ari, A. R., Kurniati, D., & Subanji. (2019). Teachers expectation of students’ thinking processes in written works: A survey of teachers’ readiness in making thinking visible. Journal on Mathematics Education, 10(3), 409–424. https://doi.org/10.22342/jme.10.3.7978.409-424
C. Wilkinson, L., L. Bailey, A., & A. Maher, C. (2018). Students’ Mathematical Reasoning, Communication, and Language Representations: A Video-Narrative Analysis. ECNU Review of Education, 1(3), 1–22. https://doi.org/10.30926/ecnuroe2018010301
Çelik, A. Ö., & Güzel, E. B. (2017). Mathematics teachers’ knowledge of student thinking and its evidences in their instruction. Journal on Mathematics Education, 8(2), 199–210. https://doi.org/10.22342/jme.8.2.4144.199-210
da Ponte, J. P., & Quaresma, M. (2016). Teachers’ Professional Practice Conducting Mathematical Discussions. Educational Studies in Mathematics, 93(1), 51–66. https://doi.org/10.1007/s10649-016-9681-z
Darling-Hammond, L., Flook, L., Cook-Harvey, C., Barron, B., & Osher, D. (2020). Implications for educational practice of the science of learning and development. Applied Developmental Science, 24(2), 97–140. https://doi.org/10.1080/10888691.2018.1537791
Firdausy, A. R., Triyanto, & Indriati, D. (2021). Mathematical Reasoning Abilities of High School Students in Solving Contextual Problems. International Journal of Science and Society, 3(1), 201–211. https://doi.org/10.54783/ijsoc.v3i1.285
Hidayah, I. N., Sa’dijah, C., Subanji, S., & Sudirman, S. (2020). Characteristics of Students’ Abductive Reasoning in Solving Algebra Problems. Journal on Mathematics Education, 11(3), 347–362. https://doi.org/10.22342/jme.11.3.11869.347-362
Hjelte, A., Schindler, M., & Nilsson, P. (2020). Kinds of Mathematical Reasoning Addressed in Empirical Research in Mathematics Education: A Systematic Review. Education Sciences, 10(10), 1–15. https://doi.org/10.3390/educsci10100289
Johnson, H. L., Coles, A., & Clarke, D. (2017). Mathematical tasks and the student: Navigating “tensions of intentions” between designers, teachers, and students. ZDM, 49(6), 813–822. https://doi.org/10.1007/s11858-017-0894-0
Kosko, K. W., Rougee, A., & Herbst, P. (2014). What actions do teachers envision when asked to facilitate mathematical argumentation in the classroom? Mathematics Education Research Journal, 26(3), 459–476. https://doi.org/10.1007/s13394-013-0116-1
Li, Y., & Schoenfeld, A. H. (2019). Problematizing teaching and learning mathematics as “given” in STEM education. International Journal of STEM Education, 6(1), 1–13. https://doi.org/10.1186/s40594-019-0197-9
Lin, P.-J. (2018). The Development of Students’ Mathematical Argumentation in a Primary Classroom. Educação & Realidade, 43(3), 1171–1192. https://doi.org/10.1590/2175-623676887
Lodge, J. M., Kennedy, G., Lockyer, L., Arguel, A., & Pachman, M. (2018). Understanding Difficulties and Resulting Confusion in Learning: An Integrative Review. Frontiers in Education, 3(1), 1–10. https://doi.org/10.3389/feduc.2018.00049
Masingila, J. O., Olanoff, D., & Kimani, P. M. (2018). Mathematical knowledge for teaching teachers: Knowledge used and developed by mathematics teacher educators in learning to teach via problem solving. Journal of Mathematics Teacher Education, 21(5), 429–450. https://doi.org/10.1007/s10857-017-9389-8
Mastuti, A., Nusantara, T., Purwanto, P., As’ari, A., Subanji, S., Abadyo, A., & Susiswo, S. (2016). Interpretation Awareness of Creativity Mathematics Teacher High School. International Education Studies, 9(9), 32–41. https://doi.org/10.5539/ies.v9n9p32
Mata-Pereira, J., & da Ponte, J. P. (2017). Enhancing students’ mathematical reasoning in the classroom: Teacher actions facilitating generalization and justification. Educational Studies in Mathematics, 96(2), 169–186. https://doi.org/10.1007/s10649-017-9773-4
McCarthy, P., Sithole, A., McCarthy, P., Cho, J., & Gyan, E. (2016). Teacher Questioning Strategies in Mathematical Classroom Discourse: A Case Study of Two Grade Eight Teachers in Tennessee, USA. Journal of Education and Practice, 7(21), 80–89.
Moguel, L. E. S., Landa, E. A., & Cabañas-Sánchez, G. (2019). Characterization of Inductive Reasoning in Middle School Mathematics Teachers in a Generalization Task. International Electronic Journal of Mathematics Education, 14(3), 563–581. https://doi.org/10.29333/iejme/5769
Mueller, M., Yankelewitz, D., & Maher, C. (2014). Teachers Promoting Student Mathematical Reasoning. Investigations in Mathematics Learning, 7(2), 1–20. https://doi.org/10.1080/24727466.2014.11790339
Murtafiah, W., Sa’dijah, C., Chandra, T. D., Susiswo, S., & As’ari, A. R. (2018). Exploring the Explanation of Pre-Service Teacher in Mathematics Teaching Practice. Journal on Mathematics Education, 9(2), 259–270. https://doi.org/10.22342/jme.9.2.5388.259-270
Nergård, B. (2021). Preschool children’s mathematical arguments in play-based activities. Mathematics Education Research Journal, 33(3), 1–24. https://doi.org/10.1007/s13394-021-00395-6
Neumann, M. D. (2014). Mathematics Teaching: Listening, Probing, Interpreting and Responding to Children’s Thinking. Investigations in Mathematics Learning, 6(3), 1–28. https://doi.org/10.1080/24727466.2014.11790333
Pepin, B., Xu, B., Trouche, L., & Wang, C. (2017). Developing a deeper understanding of mathematics teaching expertise: An examination of three Chinese mathematics teachers’ resource systems as windows into their work and expertise. Educational Studies in Mathematics, 94(3), 257–274. https://doi.org/10.1007/s10649-016-9727-2
Qohar, A., & Sumarmo, U. (2013). Improving mathematical communication ability and self regulation learning of yunior high students by using reciprocal teaching. Journal on Mathematics Education, 4(1), 59–74. https://doi.org/10.22342/jme.4.1.562.59-74
Santia, I., Purwanto, Sutawidjadja, A., Sudirman, & Subanji. (2019). Exploring mathematical representations in solving ill-structured problems: The case of quadratic function. Journal on Mathematics Education, 10(3), 365–378. https://doi.org/10.22342/jme.10.3.7600.365-378
Segerby, C., & Chronaki, A. (2018). Primary students’ participation in mathematical reasoning: Coordinating reciprocal teaching and systemic functional lin- guistics to support reasoning in the Swedish context. Educational Design Research : An International Journal for Design-Based Research in Education, 2(1), 1–32. https://doi.org/10.15460/eder.2.1.1150
Simsek, Z. Z. (2021). “Is It Valid or Not?”: Pre-Service Teachers Judge the Validity of Mathematical Statements and Student Arguments. European Journal of Science and Mathematics Education, 9(2), 26–42. https://doi.org/10.30935/scimath/10772
Sølvik, R. M., & Glenna, A. E. H. (2021). Teachers’ potential to promote students’ deeper learning in whole-class teaching: An observation study in Norwegian classrooms. Journal of Educational Change. https://doi.org/10.1007/s10833-021-09420-8
Tambunan, H., & Naibaho, T. (2019). Performance of mathematics teachers to build students’ high order thinking skills (HOTS). Journal of Education and Learning (EduLearn), 13(1), 111–117. https://doi.org/10.11591/edulearn.v13i1.11218
Tavşan, S., & Pusmaz, A. (2021). Examination of 7th-grade students’ mathematical reasoning and argumentation process during problem-solving. International Journal of Mathematical Education in Science and Technology, 1–28. https://doi.org/10.1080/0020739X.2021.2005168
Van Lacum, E. B., Ossevoort, M. A., & Goedhart, M. J. (2014). A teaching strategy with a focus on argumentation to improve undergraduate students’ ability to read research articles. CBE Life Sciences Education, 13(2), 253–264. https://doi.org/10.1187/cbe.13-06-0110
Widjaja, W., & Vale, C. (2021). Counterexamples: Challenges Faced by Elementary Students when Testing a Conjecture about the Relationship Between Perimeter and Area. Journal on Mathematics Education, 12(3), 487–506. https://doi.org/10.22342/jme.12.3.14526.487-506
Wilkinson, L. C., Bailey, A. L., & Maher, C. A. (2018). Students’ Mathematical Reasoning, Communication, and Language Representations: A Video-Narrative Analysis. ECNU Review of Education, 1(3), 1–22. https://doi.org/10.30926/ecnuroe2018010301
DOI: https://doi.org/10.31764/jtam.v6i2.7339
Refbacks
- There are currently no refbacks.
Copyright (c) 2022 Ajeng Gelora Mastuti, Abdillah, Muhammad Rijal
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
_______________________________________________
JTAM already indexing:
_______________________________________________
JTAM (Jurnal Teori dan Aplikasi Matematika) |
_______________________________________________
_______________________________________________
JTAM (Jurnal Teori dan Aplikasi Matematika) Editorial Office: