**EURASIA Journal of Mathematics, Science and Technology Education**
Volume 9, Issue 3 (August 2013), pp. 319-328

DOI: 10.12973/eurasia.2013.939a

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**Research Article**

*Published online on Jul 01, 2016*

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**Factors that Influence the Understanding of Good Mathematics Teaching**

Kwan Eu Leong

This study explored the factors that influenced the understanding of good mathematics teaching. A mixed methodology was used investigate the beliefs of beginning secondary teachers on good mathematics teaching. The two research instruments used in this study were the survey questionnaire and an interview. Beginning teachers selected Immediate Classroom Situation, Mathematical Beliefs, Pedagogical Content Knowledge, and Colleagues as the top four factors from the survey analysis that influenced their understanding of good mathematics teaching. The study’s results have implications on investigating specific mathematical content knowledge that is important for classroom instruction at the secondary level. Furthermore, this study can be used as a reference for teacher education programs to improve the effectiveness of the pedagogical courses in mathematics education.

Keywords: understanding, influence, good mathematics teaching, beginning secondary teachers, teacher education, PCK

- Arbaugh, F. & Avery, P. (2009). Enhancing the Learning Environment through Student-Led Mathematical Discussion. In Alfinio Flores (Ed.), Responding to Diversity: Grades 9-12 (pp. 17-160). Reston, VA: National Council of Teachers of Mathematics.
- Arbaugh, F. (2010). Secondary School Mathematics Teachers’ Classroom Practices. In Joanne Lobato (Ed.), Teaching and Learning Mathematics: Translating Research for Secondary School Teachers (pp. 456-452). Charlotte, N.C.:Information Age Publishing and National Council of Teachers of Mathematics.
- Ball, D.L. & Bass, H. (2004). Knowing mathematics for teaching. In R. Strasser, GBrandell, B. Grevholm, O. Helenius (Eds.), Educating for the future. Proceedings of an international symposium on mathematics teacher education (pp. 159-178). Sweden: The Royal Swedish Academy of Sciences
- Ball, D.L. (2009). With an eye on the mathematical horizon: knowing mathematics for teaching to learners’ mathematical futures. Paper presented at the National Council of Teachers of Mathematics Annual Meeting, Washington D.C. Retrieved from http://www-personal.umich.edu/ ~dball/presentations/042309_NCTM.pdf
- Ball, D.L., & Sleep, L. (2007). What is knowledge for teaching, and what are features of tasks that can be used to develop MKT? Paper presented at the Center for Proficiency in Teaching Mathematics (CPTM) pre-session of the annual meeting of the Association of Mathematics Teacher Educators (AMTE), Irvine. Retrieved from http://www-personal.umich.edu/~dball/presentations /042507_NCTM.pdf
- Brown, C., & Borko, H. (1992). Becoming a Mathematics Teacher. In Grouws, D. A. (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 208-239). Reston: NCTM.
- Carroll, J. (2005). Developing effective teachers of mathematics. Mathematics Education Research Group of Australasia, 1, 201-208.
- Chamberlin, M. T. (2005). Tachers’ discussions of students thinking: meeting the challenges of attending to students’ thinking. Journal of Mathematics Teacher Education, 8, 141-170.
- Cooney, T. & Wiegel, H. (2003). Examining the mathematics in mathematics teacher education. In A. Bishop, M. Clements, C. Keitel, & F. K. Leung (Eds.), Second international handbook of mathematics education (pp.795-828). Dordrecht, The Netherlands: Kluwer Academic Pulishers.
- Cooney, T.J., Wilson, P. & Stinson, D. (2005). What constitutes good mathematics teaching and how it develops: nine high school teachers perspectives. Journal of Mathematics Teacher Education, 8, 83-111.
- Fennema, E. and Franke, M.L. (1992). Teachers’ knowledge and its impact. In Grouws, D. A. (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 147-164). Reston: NCTM.
- Frykholm, J.A. (1999). The impact of reform: Challenges for mathematics teacher preparation. Journal of Mathematics Teacher Education, 2, pp. 79-105.
- Ham, E. (2011). Beginning Mathematics Teachers from Alternative Certification Programs: Their Success in the Classroom and How They Achieved it. Doctoral dissertation, Columbia University.
- Lampert, M. (2001). Teaching problems and the problems of teaching. New Haven, CT:Yale University Press.
- Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates.
- Marton, F. & Saljo, R. (1984). Approaches to learning. In F.Marton, D. J. Hounsell & N. J. Entwistle (Eds.), The Experience of Learning (pp. 36-55). Edinburgh: Scottish Academic Press.
- Murphy, P.K. & Lee Ann, M. (2004). The good teacher and good teaching: Comparing beliefs of second-grade students, pre-service teachers, and in-service teachers.The Journal of Experimental Education, 72(2), 69-92.
- National Council of Teachers of Mathematics Standards for School Mathematics (1989). Curriculum and Evaluation Standards. Reston, Virginia: NCTM.
- National Council of Teachers of Mathematics on Teaching Standards for School Mathematics (1991). Professional Standards. Reston, Virginia: NCTM.
- Nickson, Marilyn (1998). Pervasive themes and some departure points for research into effective mathematics teaching. In D.A. Grouws and T.J. Cooney (Eds.) Perspectives on Research on Effective Mathematics Teaching, 1 (pp. 245-252). Virginia: NCTM.
- Polya, G. (1962). How to solve it: A new aspect of mathematical method. Princeton, NJ: Princeton University Press.
- Polya, G. (1981). Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition. New York: Wiley.
- Pietilla, A. (2003). Fulfilling the Criteria for Good Mathematics Teacher-The Case of One Student. Proceedings of European Research in Mathematics Education III. Retrieved fromhttp://www.dm.unipi.it/clusterpages/didattica/CERME3/proceedings/Groups/TG2/TG2_pietila_cerme3.pdf
- Schoenfeld, A.H. (1998). Toward a theory of teaching-in-context. Issues in Education, 4(1), 1-94.
- Shulman, L. S. (2001). A conversation with Lee Shulman: Lee Shulman champions the cause of understanding teachers & their learning. New Educator, 7(1), 10-13.
- Shulman, L. S. (2001). Appreciating good teaching: A conversation with Lee Shulman. Educational Leadership, 58(5), 6-11. Interviewer Carol Tell.
- Shulman, L.S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
- Sowder, J.T. (2007). The mathematical education and development of teachers. In F.K. Lester, Jr. (Ed.) Second Handbook of Research on Mathematics Teaching and Learning (pp. 157-223). North Carolina: Information Age Publishers.
- Thom, A. (1973). Modern mathematics. Does it exist? In A.G. Howson (Ed.), Developments in mathematics education: Proceedings of the Second International Congress on Mathematics Education (pp.194-209). Cambridge: Cambridge University Press.
- Thompson, A.G. (1992). Teachers Belief and Conceptions: A Synthesis of The Research. In Grouws, D. A. (Ed.), Handbook of Research on Mathematics Teaching and Learning. (pp 120- 135). Reston, Virginia: The National Council of Teachers of Mathematics.
- Van Rossum, E., & Taylor, I. P. (1987, April). The relationship between conceptions of learning and good teaching: A scheme of cognitive development. Paper presented at the annual meeting of the American Educational Research Association, Washington DC.
- Wasserman, N. (2011). The First Year Success of Mathematics Teachers: Pre-Teacher Education Program, During Program or Post-Program. Doctoral dissertation. Columbia University, New York.
- Wilson, M. & Cooney, T. (2002). Mathematics teacher change and development. In G. C. Leder, E. Pehkonen, & G. Torner (Eds.) Beliefs: A hidden variable in mathematics education? (pp.127-147). Dordrecht, Netherlands: Kluwer Academic Pulishers.