10-1-Cover-1

Size: px

Start display at page:

Download "10-1-Cover-1"

澄侔咎
5 years ago
Views:

1 摘要

2 2 Duval, 1998 TIMSS 2003 Trends in Mathematics and Science Study TIMSS 2005 TIMSS 2007 Gonzales, Williams, Jocelyn, Roey, Kastberg, & Brenwald, 2008 Berthelot & Salin, 1998 Parzysz, 1988 Duval, 1998 Pittalis & Christou, 2010 Brown 1992 design science Design-Based Research Reimann, Wang & Hannafin, 2005

3 3 二研究目的與問題 Berthelot & Salin, Wu & Shah, 2004 Piaget Clements & Battista, 1992 Clements,

4 4 Wu Shah Wadkins, Wozniak, & Miller, 2004 Cook & Friend, Friend, Cook, Hurley-Chamberlain, & Shamberger, 2010 ; Wadkins, et al., collaboration Murawski Cook & Friend, 1995

5 5 Henning McKeny Foley Balong 2012 bow tie Henning 2008 Framing discuss Conceptual discuss Application discuss bow tie Brown 1992 design science Design- Based Research Reimann, Wang & Hannafin, 2005 Reeves Herrenkohl Kawasaki Dewater 2010

6 6 3 A B C 1 D

7 7 1

8 8 1 C1-4 A B C D C1 C R2 R SA07 A 7 SC08 C 8 fidelity specificity authenticity 2010 triangulation Guion, R1 P1 C1

9 9 PPT C1 C5 C5 C C C C C5

10 10 AMA AMA Activate Mind Attention PPT PowerPoint A B C 1 1 A

11 C C C C1 2

12 C C C C

13 = A B C A B C

14 A B C A B C A % A

15 B B 40% C

17 % 35% 70% 26% 4% 47% 33%

18 18 9 SC12 SC02 SA24 SC08 SB23 SD15 SD24

19 19

20 20

21 21 20% B 42.9% 43.3% A C 16.1% 20% 70% 80%

22 22 App Application

23 23

24 M. Lichtman L. Cohen, L. Manion, & K. Marrison PCK TWELF2009

25 Berthelot, R., & Salin, M. H. (1998). The role of pupil s spatial knowledge in the elementary teaching of geometry. In C. Mammana & V. Villani (Eds.), Perspectives on the teaching of geometry for the 21st century (pp ). Dordrecht: Kluwer. Brown, A. (1992). Design experiments: Theoretical and methodological challenges in creating complex interventions in classroom settings. Journal of the Learning Sciences, 2(2), Clements, D. H. (2003). Teaching and learning geometry. In J. Kilpatrick, W. G. Martin & D. Schifter (Eds.), Research Companion to Principles and Standards for School Mathematics (pp ). VA: National Council of Teachers of Mathematics. Clements, D., Battista, M. (1992). Geometry and spacial reasoning. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp ). New York: Macmillan Publishing Company. Cook, L., & Friend, M. (1995). Co-teaching: guidelines for creating effective practices. Focus on Exceptional Children, 28(3), Duval, R. (1998). Geometry from a cognitive point of view. In C. Mammana & V. Villani (Eds.), Perspectives on the Teaching of Geometry for the 21st Century (pp ). Dordrecht: Kluwer. Friend, M., Cook, L., Hurley-Chamberlain, D., & Shamberger, C. T. (2010). Co-teaching: an illustration of the complexity of collaboration in special education. Journal of Educational and Psychological Consultation, 20(1), Gonzales, P., Williams, T., Jocelyn, L., Roey, S., Kastberg, D., & Brenwald, S. (2008). Highlights from TIMSS 2007: Mathematics and Science achievement of U.S. fourth- and eighth-grade students in an international context (NCES ). Washington, DC: US Department of Education, Institute of Education Sciences, National Center for Educational Statistics. Retrieved from Guion, L.A. (2002).Triangulation: establishing the validity of qualitative studies. Gainesville: Institute of Food and Agricultural Sciences, University of Florida. Henning, J.E. (2008). The art of discussion-based teaching: Opening up conversation in the classroom. New York: Routledge. Henning, J. E., McKeny, T., Foley, G. D., & Balong, M. (2012). Mathematics discussions by

26 26 design: creating opportunities for purposeful participation. Journal of Mathematics Teacher Education, 15(6), Herrenkohl, L. R., Kawasaki, K., & Dewater, L. S. (2010). Inside and outside: Teacher researcher collaboration. The New Educator, 6(1), Murawski, W. W. (2010). Collaborative teaching in elementary schools: making the co-teaching marriage work! CA: Corwin Press. Parzysz, B. (1988). Knowing vs seeing.problems of the plane representation of space geometry figures. Educational Studies inmathematics, 19(1), Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability. Educational Studies in Mathematics, 75(2), Reeves, T. C. (2006). Design research from the technology perspective. In J. V. Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp ). London: Routledge. Reimann, P. (2011). Design-based research. In L. Markauskaite, P. Freebody, & J. Irwin (Eds.), Methodological Choice and Design (Methodos Series, Vol. 9, pp, 37-50). NY: Springer. Wadkins, T., Wozniak, W., &Miller, R. L. (2004). Team teaching models. In E. G. Peck (Ed.), UNK/CTE: Compendium of teaching resources and ideas (pp ). NE: University of Nebraska at Kearney. Wang, F., & Hannafin, M. J. (2005). Design-based research and technology-enhanced learning environments. Educational Technology Research and Development, 53(4), Wu, H.-K., & Shah, P. (2004). Exploring visuospatial thinking in chemistry learning. Science Education, 88(3), Kai-Hsiang Yang is an Assistant Professor of the Department of Mathematics and Information Education, National Taipei University of Education, Taipei, Taiwan. Corresponding Author Li-chien Liang is a Master student of the Department of Mathematics and Information Education, National Taipei University of Education, Taipei, Taiwan.

27 27 Ning-Chun Tan is an Associate Professor of the Department of Mathematics and Information Education, National Taipei University of Education, Taipei, Taiwan

28 National Taiwan University of Science and Technology Journal of Liberal Arts and Social Sciences 2014, 10(1), 1-28 THE EFFECTS OF COLLABORATIVE TEACHING ON THE SURFACE AREA LEARNING OF ELEMENTARY SCHOOL STUDENTS Kai-Hsiang Yang Li-chien Liang Ning-Chun Tan Department of Mathematics and Information Education, National Taipei University of Education ABSTRACT The purpose of this study was to focus on developing a teaching program for surface area that integrates physical manipulation and multimedia using a collaborative teaching design in order to solve the difficulties students face learning geometry. In the study, design-based research was adopted. First, a team consisting of eleven teachers, including a math expert, an IT education expert and nine experienced teachers, was set up. Five members of this team developed a teaching program using a collaborative teaching strategy. A total of 131 students from three fifth-grade classes and one sixth-grade class participated in the study. After the experiment, we found that the teachers collaborative teaching design was a feasible solution. Using an appropriate teaching design can allow students to learn in small groups, not only enhancing their interest in learning but also overcoming their difficulties in learning. We found that teaching programs integrating physical manipulation and multimedia can enhance students interest in learning and facilitate geometry learning. However, there are two drawbacks to this design. First, classroom management is a challenge, and second, the physical manipulations are expensive. The study ends with some suggestions to teachers regarding the teaching of surface area. Keywords: collaborative teaching design, surface area, teaching program, designbased research

10-3人文封面

10-3人文封面 103 10 3 225-252 摘要 98 1 2 2D 3D 226 Programme for International Student Assessment, PISA 2009 2006 12% PISA 2010 Battista & Clements, 1999 2000 2005 1996 Duval, 1998 1998 2009 2005 2003 Bauwens & Hourcade,