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Using Multiple Representations to Build Conceptual Understanding in Science and Mathematics
PROCEEDINGS

## Yash Patel, Sara Dexter, University of Virginia, United States

Society for Information Technology & Teacher Education International Conference, in Jacksonville, Florida, United States ISBN 978-1-939797-07-0 Publisher: Association for the Advancement of Computing in Education (AACE), Waynesville, NC USA

## Abstract

Technologies can be used to generate a variety of types of representations (visuals, text, sound, numbers, graphs, and so on.) that convey mathematics and science content, including at nano-scale levels and in otherwise dangerous or “invisible” systems. By generating multiple representations with technology teachers cannot only extend the learning environment, but ease students’ cognitive load so they may focus on more complex aspects of content or tasks. Teachers can also link representations together to create learning environments through which students are asked to identify connections among them and thereby construct deep conceptual understanding of this content.

## Citation

Patel, Y. & Dexter, S. (2014). Using Multiple Representations to Build Conceptual Understanding in Science and Mathematics. In M. Searson & M. Ochoa (Eds.), Proceedings of SITE 2014--Society for Information Technology & Teacher Education International Conference (pp. 1304-1309). Jacksonville, Florida, United States: Association for the Advancement of Computing in Education (AACE). Retrieved May 11, 2021 from https://www.learntechlib.org/primary/p/130945/.

© 2014 Association for the Advancement of Computing in Education (AACE)

## References

View References & Citations Map- Adadan, E. (2006). Promoting high school students’ conceptual understandings of the particulate nature of matter through multiple representations. Unpublished Doctoral Dissertation, The Ohio State University.
- Ainsworth, S. (1999). The functions of multiple representations. Computers& Education, 33, 131-152.
- Ainsworth, S. (2006). DeFT: A Conceptual Framework for Considering Learning with Multiple Representations. Learning and Instruction, 16(3), 183-198.
- Ainsworth, S., Bibby, P.A., & Wood, D.J. (1997). Proceedings from European Conference for Research on Learning and Instruction: Evaluating principles for multi-representational learning environments. August, Athens.
- Ainsworth, S., Bibby, P., & Wood, D. (2002). Examining the effects of different multiple representational systems in learning primary mathematics. The Journal of the Learning Sciences, 11(1), 25-61.
- Ainsworth, S.E., & Loizou, A.T. (2003). The effects of self-explaining when learning with text or diagrams. Cognitive Science, 27(4), 669-681.
- Anastopoulou, S., Sharples, M., & Baber, C. (2011). An evaluation of multimodal interactions with technology while learning science concepts. British Journal of Educational Technology, 42(2), 266-290.
- Anzai, Y. (1991). Learning and use of representations for physics expertise. In K. Anders-Ericsson, & J. Smith (Eds.), Towards a general theory of expertise: Prospects and limits. Cambridge: Cambridge University Press.
- Berthold, K., & Renkl, A. (2009). Instructional aids to support a conceptual understanding of multiple representations. Journal of Educational Psychology, 1, 70-87.
- Borba, M.C., Confrey, J. (1996). A student’s construction of transformations of functions in a multiple representational environment. Educational Studies in Mathematics, 31(3), 319-337.
- Chandler, P., & Sweller, J. (1992). The split-attention effect as a factor in the design of instruction. British Journal of Educational Psychology, 62(2), 233-246.
- Cheng, P.C.-H. (1999). Unlocking Conceptual Learning in Mathematics and Science with Effective Representational Systems. Computers& Education, 33, 109-130.
- Cory, B.L. & Garofalo, J. (2011). Using dynamic sketches to enhances preservice secondary mathematics teachers’ understanding of limits of sequences. Journal for Research in Mathematics Education, 42, 65-97.
- Cuoco, A.A. (2001) Yearbook of the National Council of the Teachers of Mathematics: The Roles of Representation in School Mathematics (pp.173-185). Reston, Virginia: The Council.
- Dufour-Janvier, B., Bednarz, N., & Belanger, M. (1987). Pedagogical considerations concerning the problem of representation. In C. Janvier (Ed.), Problems of Representation in the Teaching and Learning of Mathematics. Hillsdale, NJ: LEA.
- Garofalo, J. & Trinter, C.P. (2012). Tasks That Make Connections through Representations. The Mathematics Teacher, 106, 302-306.
- Goldenberg, E.P. (1988). Mathematics, metaphors, and human factors: Mathematical, technical, and pedagogical challenges in the educational use of graphical representations. Journal of Mathematical Behavior, 7, 135Goldman, S.R. (2003). Learning in complex domains: when and why do multiple representations help? Learning and Instruction, 13, 239-244.
- Kaput, J.J. (1992). Technology and mathematics education. In D.A. Grouws, Handbook of research on mathematics teaching and learning (pp. 515-556). New York: Macmillan.
- Mayer, R.E. (1999). Multimedia aids to problem-solving transfer. International Journal of Educational Research, 31, 611-624.
- Mayer, R.E., & Gallini, J.K. (1990). When is an illustration worth ten thousand words? Journal of Educational Psychology, 82, 715-726.
- Mayer, R.E., & Moreno, R. (1998). A split-attention effect in multimedia learning: evidence for dual processing systems in working memory. Journal of Educational Psychology, 90(2), 312-320.
- National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
- Ozmantar, M., Akkoc, H., Bingolbali, E., Demir, S., & Ergene, B. (2010). Pre-Service Mathematics Teachers' Use of Multiple Representations in Technology-Rich Environments. Science& Technology Education, 6(1), 19-36.
- Piez, C., & Voxman, M. (1997). Multiple representations—Using different perspectives to form a clearer picture. The Mathematics Teacher, 90, 164-166.
- Sanger, M.J., Phelps, A.J., & Fienhold, J. (2000). Using a computer animation to improve students’ conceptual understanding of a can-crushing demonstration. Journal of Chemical Education, 77(11), 1517–1520.
- Santos-Trigo, M. (2008). An Inquiry Approach to Construct Instructional Trajectories Based on the Use of Digital Technologies. EURASIA Journal of Mathematics, Science& Technology Education, 4(4), 347-357.
- Schank, P., & Kozma, R. (2002). Learning chemistry through the use of a representation based knowledge building environment. Journal of Computers in Mathematics and Science Teaching, 21(3), 253–279.
- Schoenfeld, A.H., Smith, J.P., & Arcavi, A. (1993). Learning: The microgenetic analysis of one student’s evolving understanding of a complex subject matter domain. In R. Glaser (Ed.), Advances in Instructional Psychology, Vol. 4. Hillsdale, NJ: LEA.
- Schnotz, W., & Rasch, T. (2005). Enabling, facilitating, and inhibiting effects of animations in multimedia learning: Why reduction of cognitive load can have negative results on learning. Educational Technology Research and Development, 53, 47–58.
- Schwartz, D.L. (1995). The emergence of abstract representations in dyad problem solving. The Journal of the Learning Sciences, 4(3), 321-354.
- Seufert, T. (2003). Supporting coherence formation in learning from multiple representations. Learning and Instruction, 13, 227-237.
- Sheehan, M., & Nillas, L. (2010). Technology Integration in Secondary Mathematics Classrooms: Effect on Students' Understanding. Journal of Technology Integration In The Classroom, 2(3), 67-83.
- Stern, E., Aprea, C., & Ebner, H.G. (2003). Improving cross-content transfer in text processing by means of active graphical representation. Learning and Instruction, 13, 191-203.
- Zbiek, R.M., Heid M.K., & Blume, G.W. (2007). Research on technology in mathematics education. In F.K. Lester, Jr. (Ed.), Second Handbook of Research on Mathematics Teaching and Learning, pp. 1169-1207. National

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