Assessing Preservice Teachers’ Knowledge of Area
DOI:
https://doi.org/10.11113/sh.v2n4.491Keywords:
Pre service teachers, knowledge of area, survey research design, convenient sampling techniqueAbstract
This paper attempts to assess pre service teachers’ knowledge of area. In this study, the researchers employed survey research design to assess pre service teachers’ knowledge of area. A set of questionnaire was employed to collect the data. Convenient sampling technique was employed to select the participants of the study. Respondents of the study consisted of 46 pre service teachers (majored or minored in mathematics) who are attending Bachelor of Science with Education program at a public university in Peninsula Malaysia. This paper presents the analysis of the responses of the pre service teachers related to a particular mathematical task, namely notion of area. The finding suggests that 78.26% of the pre service teachers in this study had successfully selected all the shapes that have an area. They had the correct notion of area that 2-dimensional shapes (closed plane shapes) and 3-dimensional shapes. Different categories of incorrect notion of area were identified. Implications of the findings were also discussed.Â
References
Ball, D. L. (1988). Knowledge and Reasoning in Mathematical Pedagogy: Examining What Prospective Teachers Bring to Teacher Education. Unpublished doctoral dissertation, Michigan State University, East Lansing.
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content Knowledge for Teaching: What Makes It Special? Journal of Teacher Education, 59(5), 389–407.
Baturo, A. & Nason, R. (1996). Students Teachers' Subject Matter Knowledge Within the Domain of Area Measurement. Educational Studies in Mathematics, 31(3), 235–268.
Beaumont, V., Curtis, R., & Smart, J. (1986). How to Teach Perimeter, Area, and Volume. Reston, VA: National Council of Teachers of Mathematics.
Bennett, A. B. Jr., & Nelson, L. T. (2001). Mathematics for Elementary Teachers: A Conceptual Approach. 5th ed. New York: McGraw-Hill.
Billstein, R., Liberskind, S., & Lott, J. W. (2006). A Problem Solving Approach to Mathematics. (9th ed. Boston: Pearson Education, Inc.
Casa, T. M., Spinelli, A. M., Gavin, M. K. (2006). This About Covers It! Strategies for Finding Area. Teaching ChildrenMathematics, 13(3), 168–173.
Cathcart, W. G., Pothier, Y. M., Vance, J. H., & Bezuk, N. S. (2006). Learning Mathematics in Elementary and Middle Schools: A Learner-centered Approach. 4th ed. Upper Saddle River, New Jersey: Pearson Education, Inc.
Cavanagh, M. (2008). Area Measurement in Year 7. Reflections, 33(1), 55–58. Retrieved September 27, 2008, from http://www.curriculum.support.education.nsw.gov.au/secondary/mathematics/assets/pdf/s4_teach_ideas/area/area_meas.pdf.
Fennema, E., & Franke, M. L. (1992). Teachers' Knowledge and Its Impacts. In D. A. Grouws (Ed.). Handbook of Research on Mathematics Teaching and Learning. (pp. 147–164). New York: Macmillan.
Haylock, D. (2001). Mathematics Explained for Primary Teachers. 2nd ed. London: Paul Chapman Publishing.
Long, C. T., & Detemple, D. W. (2003). Mathematical Reasoning for Elementary Teachers. 3rd ed. Boston: Pearson Education, Inc..
Martin, W, G., & Strutchens, M. E. (2000). Geometry and Measurement. In E. A. Silver & P. A. Kenney (Eds.). Results from the Seventh Mathematics Assessment of the National Assessment of Educational Progress (pp. 193–234). Reston, VA: National Council of Teachers of Mathematics.
Nik Azis, N. P. (1996). Penghayatan matematik KBSR dan KBSM: Perkembangan professional [Appreciation of the integrated curriculum of primary and secondary school mathematics: Professional development]. Kuala Lumpur: Dewan Bahasa dan Pustaka.
Ramakrishnan, M. (1998). Preservice Teachers' Understanding of Perimeter and Area. School Science and Mathematics, 98(7), 361–368.
Reinke, K. S. (1997). Area and Perimeter: Preservice Teachers' Confusion. School Science and Mathematics, 97(2), 75–77.
Rickard, A. (1996). Connections and confusion: Teaching perimeter and area with a problem-solving oriented unit. Journal of Mathematical Behavior, 15, 303-327.
Suggate, J., Davis, A., & Goulding, M. (1999). Mathematical knowledge for primary teachers. London: David Fulton Publishers.
Tierney, C., Boyd, C., & Davis, G. (1990). Prospective primary teachers’ conceptions of area. In G. Booker, P. Cobb, & T. de Mendicuti (Eds.), Proceedings of the Fourteenth Annual Conference of the International Group for the Psychology Mathematics Education with North American Chapter (Vol. 2, pp. 307-315), Mexico. (ERIC Document Reproduction Service No. ED411138).
Wun, T. Y. (2010). Preservice secondary school mathematics teachers' Subject matter knowledge of perimeter and area. Unpublished doctoral thesis, University of Malaya, Kuala Lumpur.
Wun, T. Y. & Lim, H. L. (2011). Assessing preservice special education teachers’ knowledge of area. In Proceedings (in CD form) of the 4th International Conference on Measurement and Evaluation in Education 2011 (ICMEE 4 2011) (pp.124-132), 9-12 October 2011, Universiti sains Malaysia, Penang.
