### Informing Programmatic-Level Conversations on Mathematics Preservice Teachers' Problem Solving Performance and Experiences

#### Abstract

*Problem solving is an important aspect of the mathematics classroom and teachers should work to promote problem solving in their classrooms. The purpose of this explanatory mixed-methods study was to examine mathematics preservice teachers (PSTs) problem-solving performance and connect it with their K-16 problem-solving experiences. This was done under the guise of mathematics teacher education program evaluation and fostering conversations across faculties. PSTs from one mathematics teacher education program completed one problem solving measure. PSTs were also representatively sampled to participate in a structured interview investigating their problem-solving experiences. Based upon results from this study, we drew the conclusion that PSTs need more K-16 problem-solving experiences to prepare them for their future classrooms.*

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American Educational Research Association, American Psychological Association, & National Council on Measurement in Education. (2014). Standards for educational and psychological testing. Washington, D.C.: American Educational Research Association.

Australian Curriculum, Assessment, and Reporting Authority. (2014). Mathematics F-10 Curriculum. Retrieved from http://www.australiancurriculum.edu.au/mathematics/Rationale

Author. (2017).

Author. (2015).

Author. (2014).

Chapman, O. (2005). Constructing pedagogical knowledge of problem solving: Preservice mathematics teachers. In Chick, H. L. & Vincent, J. L. (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (pp.225-232). Melbourne, Australia: Psychology of Mathematics Education.

Cohen, J (1988) Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Erlbaum.

Common Core State Standards Initiative. 2010. Common Core State Standards for Mathematics. Retrieved from http://www.corestandards.org/wp-content/uploads/Math_Standards.pdf

Council for the Accreditation of Educator Preparation (CAEP). (2013). 2013 CAEP Standards: Excellence in educator preparation. Retrieved from http://caepnet.org/standards/introduction

Creswell, J. (2012). Educational research: Planning, conducting, and evaluating quantitative and qualitative research (4th ed.). Upper Saddle River, NJ: Pearson/Merrill Prentice Hall.

DeVellis, R. F. (2012). Scale development: Theory and applications. Los Angeles, CA: Sage.

Hatch, A. (2002). Doing qualitative research in education settings. Albany, NY: State University of New York Press.

Ingram, N., & Linsell C. (2014). Foundation content knowledge: Preservice teachers’ attainment and affect. In J. Anderson, M. Cavanagh & A. Prescott (Eds.), Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia (pp. 718–721). Sydney, Australia: Mathematics Education Research Group of Australia.

Ingvarson, Lawrence; Ellio , Alison; Kleinhenz, Elizabeth; and McKenzie, Phillip. (2006). Teacher Education Accreditation : A Review of National and International Trends and Practices Retrieved from http://research.acer.edu.au/teacher_education/1

Kerr, D., & Lester, F. (1982). A new look at the professional training of secondary school mathematics teachers. Educational Studies in Mathematics, 13(4), 431-441.

Kilpatrick, J., Swafford, J., and Findell, B. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.

Lesh, R., & Zawojewski, J. (2007). Problem solving and modeling. In F.K. Lester Second Handbook of Research on Mathematics Teaching and Learning: A project of the National Council of Teachers of Mathematics. (pp. 763-803). Charlotte, NC: Information Age Pub.

Ministry of Education, Culture, Sports, Science and Technology. (2007). Arithmetic. Retrieved from http://www.mext.go.jp/component/english/_icsFiles/afieldfile/2011/03/17/1303755_044. pdf

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author

National Council for Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: Author

Pólya, G. (1945/1973). How to solve it: A new aspect of mathematical

method. Princeton, NJ: Princeton University Press.

Schoenfeld, A. H. (2011). How we think: A theory of goal-oriented decision making and its educational applications. New York, NY: Routledge.

Sowder, J. (2007) The mathematical education and development of teachers. In F.K. Lester Second Handbook of Research on Mathematics Teaching and Learning: A project of the National Council of Teachers of Mathematics. (pp. 157-223). Charlotte, NC: Information Age Pub.

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