Investigating Pre-Service Candidates’ Images of Mathematical Reasoning: An In–Depth Online Analysis of Common Core Mathematics Standards

C. E. Davis*, James Edward Osler II**
*-** North Carolina Central University
Periodicity:September - November'2013
DOI : https://doi.org/10.26634/jsch.9.2.2498

Abstract

This paper details the outcomes of a qualitative in–depth investigation into teacher education mathematics preparation. This research is grounded in the notion that mathematics teacher education students (as “degree seeking candidates”) need to develop strong foundations of mathematical practice as defined by the Common Core State Standards for Mathematics’ (CCSSM). In this investigation mathematics Pre-Service Candidates (“PSCs”) participated in an online 15-week methods course that infused writing prompts. This research activity probed the PSCs images of mathematical reasoning. It is based on the idea that in mathematical teacher education, teacher preparation requires teaching mathematical standards. In teaching the standards activities are required that infuse mathematical reasoning. This will aid PSCs in further infusing mathematical reasoning in their teaching both now and in the future.

Keywords

Common Core, Common Core State Standards For Mathematics’(CCSSM), Mathematical Practice, Mathematical Knowledge, Mathematics, National Research Council (NCR), National Council Of Teachers Of Mathematics’ (NCTM), Pre-Service Candidate (PSC), Standards For Mathematical Practice (SMP), State Standards, And Tri–Squared

How to Cite this Article?

Davis, C. E. and Osler,J.E.(2013). Investigating Pre-Service Candidates' Images Of Mathematical Reasoning: An In–Depth Online Analysis Of Common Core Mathematics Standards.i-manager’s Journal on School Education Technology, 9(2), 29-39. https://doi.org/10.26634/jsch.9.2.2498

References

[1]. Ball, D.L. (2002). What do we believe about teacher learning and how can we learn with and from our beliefs. Proceedings of the Twenty-Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Athens, Georgia, 1, 3-19
[2]. Ball, D.L. (1991). Research on teaching mathematics: Making subject matter part of the equation. In J. Brophy (Ed.), Advances in research on teaching. Vol. 2, (pp. 1-48), Greenwich, CT: JAI Press.
[3]. Ball, D.L. (1988). The subject matter preparation of prospective mathematics teachers: Challenging the myths. National Center for Research on Teacher Education: Michigan State University.
[4]. Ball, D.L., & McDiarmid, G.W. (1990). The subject matter preparation of teachers. In W.R. Houston (Ed.), Handbook for Research on Teacher Education (pp.437-449), New York: Macmillan.
[5]. Berenson, S., Cavey, L., Clark, M., & Staley, K. (2001). Adapting Pirie and Kieren's model of mathematical understanding to teacher preparation. Proceedings of the Twenty-Fifth Annual Meeting of the International Group for the Psychology of Mathematics Education. Utrecht, NL: Fruedenthal Institute, 2. 137-144.
[6]. Borko, H., & Putnam, R.T. (1996). Learning to teach. In D.C. Berliner & R.C. Calfee (Eds.), Handbook of Educational Psychology (pp. 673-708). New York: Simon and Schuster Macmillan.
[7]. Grossman, P.L., Wilson, S.M., & Shulman, L.S. (1989). Teachers of substance: Subject matter knowledge for teaching. In M.C. Reynolds (Ed.), Knowledge base for the beginning teacher (pp. 23-36). New York: Pergamon.
[8]. Lakatos, I. (1976). Proofs and Refutations: The Logic of Mathematical Discovery. New York: Cambridge University Press.
[9]. Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the U.S. New Jersey.
[10]. National Council of Teachers of Mathematics (1991). Professional standards for teaching mathematics. Reston, VA.
[11]. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA.
[12]. National Council of Teachers of Mathematics (2010). Mathematics teaching in the middle school. Reston, VA.
[13]. National Governors Association Center for Best Practices & Council of Chief State School Officers[NGACBP & CCSSO]. (2010). Common Core State Standards for Mathematics. Washington, DC: Authors.
[14]. Osler, J. E. (2012). Trichotomy–Squared – A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists who are Administrators, Practitioners, Teachers, and Technologists. July–September i-manager Journal on Mathematics, 1 (3), pp. 23–31.
[15]. Pirie, S. & Kieren, T. (1994). Growth in mathematical understanding: How can we characterize it and how can we represent it? Educational Studies in Mathematics, 26 (2- 3), 165-190.
[16]. Schoenfeld, A. (1999). Looking toward the 21st century: Challenges of educational theory and practice, Educational Researcher, 28(7), 4-14.
[17]. Shulman, L.S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
[18]. Stigler, J.& Hiebert, J. (1999). The teaching gap: Best ideas from the world's teachers for improving education in the classroom. New York: Summit Books.
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