Developing Pre-service Secondary Teachers' Skills of Using the Geometer's Sketchpad to Teach Mathematics through Lesson Study
DOI:
https://doi.org/10.11113/jt.v63.2001Keywords:
Pre-service secondary teachers, the Geometer’s Sketchpad, lesson study, loci in two dimensionsAbstract
The purpose of this study was to develop pre-service secondary teachers’ skills of using The Geometer’s Sketchpad (GSP) to teach mathematics through Lesson Study (LS). GSP is a dynamic geometry software program for constructing and investigating mathematical objects that adds a powerful dimension to the teaching and learning of geometry and many other areas of mathematics. Lesson Study is a Japanese model of teacher professional development in which small groups of teachers collaboratively plan, teach and revise a lesson to improve the quality of their teaching as well as to enrich students’ learning experiences. Twenty-three LS groups comprising 2 pre-service secondary teachers who attended a mathematics teaching methods course in a local public university were set up in four tutorial groups each consisting of five or six LS groups. This paper discusses how LS has helped to develop pre-service secondary teachers’ skills of using GSP to teach the topic of ‘Loci in Two Dimensions’ in one of the LS groups. Analysis of their GSP sketches in the first, second and third lessons indicates that the participants of this LS group showed positive changes in their skills of using GSP to teach the topic.
References
Bennett, D. 1999. Exploring geometry with The Geometer’s Sketchpad. Emeryville, CA: Key Curriculum Press.
Chew, C. M. 2007. Form One Students’ Learning Of Solid Geometry In A Phase-Based Instructional Environment Using The Geometer’s Sketchpad. Unpublished PhD thesis, University of Malaya, Malaysia.
Chew, C. M. & Lim, C. S. 2010. Developing Primary Pupils’ Geometric Thinking Through Phase-Based Instruction using The Geometer’s Sketchpad. In Y. Shimuzu, Y. Sekiguchi & K. Hino (Eds.). Proceedings of the Fifth East Asia Regional Conference on Mathematics Education (EARCOME 5) Tokyo, Japan: Japan Society of Mathematical Education. 2: 496–503.
Chew, C. M., & Lim, C. S. 2011a. Encouraging the Innovative Use of Geometer’s Sketchpad through Lesson Study. Creative Education. 2(3): 236–243. doi: 10.4236/ce.2011.23032
Chew, C. M., & Lim, C. S. 2011b. Enhancing Pre-service Secondary Mathematics Teachers’ Skills of Using the Geometer’s Sketchpad through Lesson Study. Journal of Science and Mathematics Education in Southeast Asia. 34 (1): 90–110.
Chew, C. M., & Noraini Idris. 2006. Assessing Form One Students’ Learning of Solid Geometry in a Phase-based Instructional Environment Using Manipulatives and the Geometer’s Sketchpad. Proceedings of the Third International Conference on Measurement and Evaluation in Education (ICMEE 2006) Penang: Universiti Sains Malaysia. 533–543.
Chiew, C. M., & Lim, C. S. 2003. Impact of Lesson Study on Mathematics Trainee Teachers. Paper presented at the International Conference for Mathematics and Science Education, University of Malaya, Kuala Lumpur.
Choi, S. S. 1996. Students’ Learning of Geometry Using Computer Software as a Tool: Three Case Studies. Ph.D. Dissertation, University of Georgia. UMI Publications.
Choi-Koh, S. S. 1999. A Student’s Learning of Geometry Using the Computer. Journal of Educational Research. 92(5): 301–311.
Cory, B. L., & Garofalo, J. 2011. Using Dynamic Sketches to Enhance Preservice Secondary Mathematics Teachers' Understanding of Limits of Sequences. Journal for Research in Mathematics Education. 42(1): 65–96.
Driskell, S. O. S. 2004. Fourth-grade Students’ Reasoning About Properties of Two-dimensional Shapes. Ph.D. Dissertation, University of Virginia. UMI Publications.
Elchuck, L. M. 1992. The Effects of Software Type, Mathematics Achievement, Spatial Visualization, Locus of Control, Independent Time of Investigation, and Van Hiele Level on Geometric Conjecturing Ability. Ph.D Dissertation, The Pennsylvania State University, 1992. Dissertation Abstracts International, 53(05), 1435A. Retrieved April 10, 2004, from http://wwwlib.umi.com/dissertations/fullcit/9226687.
Fernandez, M. L., & Robinson, M. 2006. Prospective Teachers’ Perspectives on Microteaching Lesson Study. Education. 127(2): 203–215.
Fernandez, C., & Yoshida, M. 2004. Lesson Study: A Japanese Approach to Improving Mathematics Teaching and Learning. Mahwah, New Jersey: Lawrence Erlbaum Associates.
Finzer, W., & Jackiw, N. 1998. Dynamic Manipulation of Mathematical Objects. Retrieved February 2, 2004, from http://wwwlib.keypress.com/sketchpad/talks /s2k/index.htm.
Frerking, B. G. 1995. Conjecturing and Proof-writing in Dynamic Geometry. Ph.D. dissertation, Georgia State University, 1994. Dissertation Abstracts International, 55(12), 3772A. Retrieved April 10, 2004, from http://wwwlib.umi.com/ dissertations/fullcit/9507424.
Gall, M. D., Gall, J. P., & Borg, W. R. 2003. Educational Research: An Introduction. 7th. ed. Boston: Allyn and Bacon.
July, R. A. 2001. Thinking in Three Dimensions: Exploring Students’ Geometric Thinking and Spatial Ability with The Geometer’s Sketchpad. (Ed.D. Dissertation, Florida International University). UMI Publications.
Kasmawati Che Osman. 2006. Meninjau Penggunaan Geometer Sketch Pad (GSP) di Kalangan Guru Matematik Sekolah Menengah Pulau Pinang. Unpublished M.Ed thesis, Universiti Sains Malaysia, Penang.
Lewis, C. (April 2000). Lesson Study: The core of Japanese professional development. Paper presented at the Annual Meeting of the American Educational Research Association, New Orleans, LA. Retrieved May 17, 2011, from http://www.lessonresearch.net/aera2000.pdf.
Lewis, C., & Tsuchida, I. 1998. A Lesson is Like a Swiftly Flowing River: Research Lessons and the Improvement of Japanese Education. American Educator. 14–17 & 50–52.
Lim, C. S., White, A. L., & Chiew, C. M. 2005. Promoting Mathematics Teacher Collaboration Through Lesson Study: What Can We Learn from Two Countries’ Experience. In A. Rogerson (Ed.). Proceedings of the 8th International Conference of the Mathematics Education into the 21st Century Project:"Reform, Revolution and Paradigm Shifts in Mathematics Education". Johor Bahru: Universiti Teknologi Malaysia. 135–139.
Lim, C. S. 2006. Promoting Peer Collaboration among Pre-service Mathematics teachers through Lesson Study Process. In Yoong Suan et al. (Eds.), Proceedings of XII IOSTE Symposium: Science and Technology in the Service of Mankind, 30 July – 4 August 2006, organized by the School of Educational Studies, Universiti Sains Malaysia, Penang. 590–593,
Malaysian Ministry of Education. 2003. Integrated Curriculum for Secondary Schools: Curriculum Specifications, Mathematics Form 1. Kuala Lumpur: Curriculum Development Centre.
McClintock, E., Jiang, Z., & July, R. 200). Students’ Development of Three-dimensional Visualization in the Geometer’s Sketchpad Environment. Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (ERIC Document Reproduction Service No. ED 471 759).
Noraini Idris. 2007. The effect of Geometer’s Sketchpad on the Performance in Geometry of Malaysian Students’ Achievement and Van Hiele Geometric Thinking. Malaysian Journal of Mathematical Sciences. 1(2): 169–180.
Nurul Hidayah Lucy Bt Abdullah. 2005. The Effectiveness of Using Dynamic Geometry Software on Students’ Achievement In Geometry. Unpublished master’s thesis, University Malaya, Kuala Lumpur, Malaysia.
Olive, J. 2000. Learning Geometry Intuitively with the Aid of a New Computer Tool: The Geometer’s Sketchpad. The Mathematics Educator. 2(1): 1–5. Retrieved Aug 11, 2003, from http://jwilson.coe.uga.edu/DEPT/IME/Issues/v02n1/5olive.html.
Rosanini Mahmud, Mohd Arif Hj Ismail & Lim. 2009. Development and Evaluation of a CAI Courseware ‘G-reflect’ on Students’ Achievement and Motivation in Learning Mathematics. European Journal of Social Sciences. 8(4): 557–568.
Shimahara, N. K. 1998. The Japanese Model of Professional Development: Teaching as Craft. Teaching & Teacher Education. 14(5): 451–462.
Stigler, J. W., & Hiebert, J. 1997. Understanding and Improving Classroom Mathematics Instruction: An Overview of the TIMSS Vdeo Study. Phi Delta Kappan. 79(1): 14–21.
Stigler, J. W., & Hiebert, J. 1999. The Teaching Gap: Best Ideas from the World’s Teachers for Improving Education in the Classroom. NewYork: The Free Press.
Teoh, B. T., & Fong, S. F. 2005. The Effects of Geometer’s Sketchpad and Graphic Calculator in the Malaysian Mathematics Classroom. Malaysian Online Journal of Instructional Technology. 2(2): 82–96.
Thompson, E. 2006. Euclid, the Van Hiele Levels, and the Geometer’s Sketchpad. (MST thesis, Florita Atlantic University, 2006). Masters Abstracts International. 44(06): 2529. Retrieved February 2, 2007, from http://wwwlib.umi.com/ dissertations/fullcit/1435803.
Yoshida, M. 1999. Lesson Study (Jugyokenkyu) in Elementary School Mathematics in Japan: A Case Study. Paper presented at the American Educational Research Association (1999 Annual Meeting), Montreal, Canada.
Wyatt, K. W., Lawrence, A., & Foletta, G. M. 1998. Geometry Activities for Middle School Students with the Geometer’s Sketchpad. Berkeley, CA: Key Curriculum Press.
Downloads
Published
Issue
Section
License
Copyright of articles that appear in Jurnal Teknologi belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions, or any other reproductions of similar nature.
