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Type :Article
Subject :LB Theory and practice of education
ISSN :2232-1926
Main Author :Haliza Abd Hamid
Additional Authors :
  • Noraini Idris
Title :Assessing pre-university students’ visual reasoning: a graphical approach
Hits :5
Place of Production :Tanjong Malim
Publisher :Fakulti Teknikal dan Vokasional
Year of Publication :2014
Notes :Vol. 4 (2014): International Journal of Assessment and Evaluation in Education
Corporate Name :Perpustakaan Tuanku Bainun
PDF Full Text :Login required to access this item.

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.


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