|
UPSI Digital Repository (UDRep)
|
|
|
|
||||||||||||||||||||||||||||
| Abstract : Perpustakaan Tuanku Bainun |
| The importance of understanding graph in the learning of calculus had led to calls for an increased in visual reasoning skills among secondary through university levels. The effectiveness of graphs in understanding derivatives depends on their efficacy as visual text forms aimed to illustrate and communicate two or more related information. Providing students with an approach to reading and interpreting graphs will help them to understand concepts better. Therefore, the study focussed on how to assess 194 pre-university students_ ability to read and interpret graphical form of functions and their derivatives based on the decoding theory: reading the graph, reading between the graph and reading beyond the graph. Findings indicate that students were able to read information directly but faced difficulties when reading beyond the graph. Implications and future research directions are discussed.
Keywords Assessing, visual reasoning, derivative, graphical approach. |
| References |
Alacaci, C., Lewis, S., O’Brien, G., & Jiang, Z. (2011). Pre-Service Elementary Teachers’ Understanding of Graphs. Eurasia Journal of Mathematics, Science and Technology Education, 7(1), 3-14.
Asiala, M., Cottrill, J., Dubinsky, E., &Schwingendorf, K. (1997). The Development of Students’ Graphical Understanding of the Derivative. Journal of Mathematical Behavior 16(4), 399-431.
Friel, S.N., Curcio, F. R., & Bright, G.W. (2001). Making sense of graphs: Critical factors influencing comprehension and instructional implications. Journal for Research in Mathematics Education, 32(2): 124-158.
Larkin, J.H. & Simon, H.A.(1987). Why a diagram is (sometimes) worth ten thousand words. Cognitive Science, 11, 65-99.
Lowrie, T., &Diezmann, C. M. (2011). Solving graphics tasks: Gender differences in middle-school students. Learning and Instruction, 21(1), 109-125.
Lohse, G. L. (1993). A cognitive model for understanding graphical perception. Human-Computer Interaction, 8, 353-388.
Monk, G. S. (1994). Students’ Understanding of Functions in Calculus Courses. Humanistic Mathematics Network Journal, 9, 21-27.
NCTM (National Council of Teachers of Mathematics). (2000). Principles and standards for school mathematics. Reston, VA:Author. Retrieved June 16, 2011, from standards.nctm.org/document/chapter3/geom.htm
Noraini, I., & Lim, H. L. (2007). A Framework for Assessment of Algebraic Solving Ability. Classroom Assessment in Mathematics Education. Kuala Lumpur: McGraw Hill
Ratwani, R.M., Trafton, J. G. & Boehm-Davis, D. A. (2008). Thinking graphically: connecting vision and cognition during graph comprehension. Journal of Experimental Psychology: Applied, 14(1), 36-49.
South Australian Certificate of Education. (2014). The Mathematical Studies Curriculum Statement 2014. SACE Board of South Australia, Adelaide, Australia.
Sharma, S. (2013). Assessing Students’ Understanding of Tables and Graphs: Implications for Teaching and Research. International Journal of Educational Research and Technology, 4(4), 51-70.
Stahley, J. R. (2011). Students’ qualitative understanding of the relationship between the graph of a function and the graphs of its derivatives. Unpublished Master’s Thesis. The University of Maine, USA.
Tiwari, T. K. (2007). Computer Graphics as an Instructional Aid in an Introductory Differential Calculus Course. International Electronic Journal of Mathematics Education, 2(1), 32-48.
Uesaka, Y. & Manalo, E. (2011). Task-related factors that influence the spontaneous use of diagrams in maths problems. Applied Cognitive Psycholog, 26, 251-260.
Watson, J.M. (2006). Statistical literacy at school: Growth and goals. Mahwah, NJ:Lawrencw Erlbaum.
Ubuz, B. (2007). Interpreting a graph and constructing its derivative graph: stability and change in students’ conceptions. International Journal of Mathematical Education in Science and Technology, 38(5), 609-637.
Zimmerman, W. (1991). Visual Thinking in Calculus. In Z. Cunningham (Ed.), Visualization in Mathematics. (Notes # 19, 127-137), Washington, DC: Mathematics Associations of America. |
| This material may be protected under Copyright Act which governs the making of photocopies or reproductions of copyrighted materials. You may use the digitized material for private study, scholarship, or research. |