Information on Coordinate System as a Tool for Developing Mathematical Thinking
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Keywords:
Coordinate System, Graphic representation, Meaningful learning, Creative thinkingAbstract
The present paper presents activities tested and tried in class, which are designed to promote and develop mathematics knowledge, based on visual illustrations. Presents activities designed to stimulate creative thinking while developing mathematical thinking and more thorough comprehension of the meaning of information in an axes system. Activities like those, as a multi-disciplinary practice, will entail pupils' better and more meaningful learning of mathematics and will enrich knowledge of this subject. Furthermore, being well acquainted with unusual graphic representations will greatly enhance the study of algebra and other mathematics subjects later on.
References
Berg, C.A., & Smith, P. (1994). Assessing students’ abilities to construct and interpret line graphs: Disparities between multiple-choice and free-response instruments. Science Education, 78(6), 527-554.
Canham, M., & Hegarty, M. (2010). Effects of knowledge and display design on comprehension of complex graphics. Learning and Instruction, 20, 155-166.
Carpenter, P.A., & Shah, P. (1998). A model of the perceptual and conceptual processes in graph comprehension. Journal of Experimental Psychology: Applied, 4(2), 75-100.
CET - Centre for Educational Technology (2004). Various representations of information –Activities for learners. Experimental version (pp. 20-21). Tel Aviv: Centre for Educational Technology. [Hebrew]
Cook, M., Wiebe, E.N., & Carter, G. (2008). The influence of prior knowledge on viewing and interpreting graphics with macroscopic and molecular representations. Science Education, 92(5), 848-867.
Friel, S.N. (2001). Making sense of graphs: Critical factors influencing comprehension and instructional implications. Journal for Research in Mathematics Education, 32(2), 124-158.
Gazit, A. (2004). Eureka…! About people who loved to think and calculate, Kfar-Sava: Geist Publications. [Hebrew]
Gazit, A., & Patkin, D. (2009). The place of creativity in the solution of exceptional problems of series among elementary school mathematics teachers and pre-service teachers in other disciplines. Mispar Hazak (2000), 17, 16.24, Haifa: University of Haifa. [Hebrew]
Hipkins, R. (2011). Challenges with graph interpretation: A review of the literature. Studies in Science Education, 47(2), 183-210.
Leikin, R., A. Berman & B. Koichu (Eds.) (2009). Creativity in mathematics and the education of gifted students. Rotterdam, the Netherlands: Sense Publisher.
Levav-Waynberg, A., & Leikin, R. (2012). The role of multiple solution tasks in developingknowledge and creativity in geometry. Journal of Mathematical Behavior, 31, 73–90..
Levenberg, I. (1995). Graphs. Workshop activity within the framework of the project for the promotion of science and technology studies in the Galil. Haifa: Israel Institute of Technology, Department of Technology and Sciences Teaching. [Hebrew]
Mann,E.L. (2006).Creativity: The essence of mathematics. Journal for the education of the gifted,30(2), 236-260.
Resnick,L.(1987). Education and learning to think. National Academy Press.Washington D.C.
Shah, P., & Freedman, E.G. (2011). Bar and line graph comprehension: An interaction of top-down and bottomup processes. Topics in Cognitive Science, 3(3), 560-578.
Shriki,A.(2010). Working like real mathematicians: developing prospective teachers` awareness of mathematical creativity through generatingnew concepts.Educational Studies in Mathematics, 73(2), 159-179.
Wainer, H. (1992). Understanding graphs and tables. Educational Researcher, 21(1), 14-23.
Wang,Z.H. (2012). Students’ Cognitive Reasoning of Graphs: Characteristics and progression. International Journal of Science Education, 34(13), 2015-2041.
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