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http://dx.doi.org/10.7468/jksmed.2014.18.3.223

Teacher Change in Teaching Practices Towards Developing Students' Reasoning in Mathematics  

Kim, Hee-Jeong (Education in Mathematics, Science, and Technology (EMST), University of California)
Publication Information
Research in Mathematical Education / v.18, no.3, 2014 , pp. 223-234 More about this Journal
Abstract
Research shows that formative assessment has a more powerful effect on student learning than summative assessment. This case study of an 8th grade algebra classroom focuses on how the implementation of Formative Assessment Lessons (FALs) and the participation in teacher learning communities related to FALs changed in the teacher's instructional practices, over the course of a year, to promote students' mathematical reasoning and justification. Two classroom observations are analyzed to identify how the teacher elicited and built on students' mathematical reasoning, and how the teacher prompted students to respond to and develop one another's mathematical ideas. Findings show that the teacher solicited students' reasoning more often as the academic year progressed, and students also began developing mathematical reasoning in meaningful ways, such as articulating their mathematical thinking, responding to other students' reasoning, and building on those ideas leading by the teacher. However, findings also show that teacher change in teaching practices is complicated and intertwined with various dimensions of teacher development. This study contributes to the understanding of changes in teaching practices, which has significant implications for teacher professional development and frameworks for investigating teacher learning.
Keywords
mathematical reasoning; formative assessment; classroom practice; accountable discussions;
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  • Reference
1 Common Core State Standards Initiative (2011). Common Core State Standards for Mathematics (CCSSM). On line: http://www.corestandards.org/the-standards
2 Boaler, J. (2008). Promoting relational equity and high mathematics achievement through an innovative mixed ability approach. British Educational Research Journal 34(2), 167–194   DOI
3 Black, P. & Wiliam, D. (1998). Assessment and classroom learning. Assessment in Education:Principles, Policy & Practice 5(1), 7-74.
4 Black, P. & Wiliam, D. (2004). The formative purpose: Assessment must first promote learning. In: M. Wilson (Ed.), Towards coherence between classroom assessment and accountability:103rd Yearbook of the National Society for the Study of Education (Pt. 2, pp. 20-50). Chicago, IL:University of Chicago Press.
5 Cohen, D. K. (1990). A revolution in one classroom: The case of Mrs. Oublier. Educational Evaluation and Policy Analysis 12(3), 311-329.   DOI
6 Cohen, E. G. & Lotan, R. A. (Eds.). (1997). Working for equity in heterogeneous classrooms: Sociological theory in practice. New York: Teachers College Press.
7 Cuban, L. (1984). How teachers taught: Constancy and change in American classrooms, 1890-1980. New York: Longman.
8 Donovan, M. S. & Bransford, J. D. (2005). How students learn: Mathematics in the classroom. Committee on How People Learn, A targeted report for teachers. Washington, DC: National Academies Press. ME 2005c.00906
9 Fleming, M. & Chambers, B. (1983). Teacher-made tests: Windows on the classroom. In: W. E. Hathaway (Ed.), Testing in the schools (pp. 29-38). San Francisco, CA: Jossey-Bass.
10 Kim, Hee-jeong (2013). Towards Teaching for Developing Students' Mathematical Reasoning: A Case Study on Teaching Formative Assessment Lessons In: Y. Choe, O. N. Kwon & B. E. Suh (Eds.), Proceedings of the 2013 Joint International Conference on Mathematics Education held at Seoul National University, Seoul 151-742, Korea; November 1-2, 2013 (pp. 521-531). Seoul, Korea: Korean Society of Mathematical Education.
11 Gross, N.; Giaquinta, J. & Bernstein, M. (1971). Implementing educational innovations. New York: Basic Books.
12 Mathematics Assessment Project, (2012). A brief guide for teachers and administrators. On line: http://map.mathshell.org/materials/background.php?subpage=formative
13 Horn, I. S. (2007). Fast kids, slow kids, lazy kids: Framing the mismatch problem in mathematics teachers' conversations. J. Learn. Sci. 16(1), 37-79. ME 2012a.00146
14 Institute for Learning (2010). Accountable Talk Sourcebook: For classroom conversation that works. On line: http://ifl.lrdc.pitt.edu/ifl/index.php/download/index/ats/
15 Kilpatrick, J.; Swafford, J. & Findell, B. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press. ME 2002a.00209
16 National Council of Teachers of Mathematics [NCTM] (1991). Professional standards for teaching mathematics. Reston, VA: NCTM. ME 1991e.00332
17 National Council of Teachers of Mathematics [NCTM] (1995). Assessment standards for teaching mathematics. Reston, VA: NCTM.
18 National Council of Teachers of Mathematics [NCTM] (2000). Principles and standards for school mathematics. Reston, VA: NCTM. ME 1999f.03937 for discussion draft (1998)
19 Schoenfeld, A. H. (2013). Classroom observations in theory and practice. ZDM, Int. J. Math. Educ. 45(4), 607-621. ME 2013e.00198   DOI
20 Shafer, M. C. & Romberg, T. A. (1999). Assessment in classrooms that promote understanding. In: E. Fennema & T. A. Romberg (Eds.), Mathematics Classrooms that Promote Understanding (pp.159-184). Mahwah, NJ: Lawrence Erlbaum Associates. ME 1999c.01410
21 Schoenfeld, A. H. (2011). How we think: A theory of goal-oriented decision making and its educational applications. London: Routledge. ME 2013d.00138
22 Shepard, L. A. (2000). The role of classroom assessment in teaching and learning. (CSE Technical Report 517). Los Angeles, CA: University of California, National Center for Research on Evaluation, Standards, and Student Testing (CRESST)
23 de Lange, J. (1999). A framework for classroom assessment in mathematics (Unpublished manuscript). Madison, WI: National Center for Improving Student Learning and Achievement in Mathematics and Science, Assessment Study Group. On line:http://www.fi.uu.nl/catch/products/framework/de_lange_framework.doc