Engagement with Interactive Diagrams: The Role Played by Resources and Constraints
Interactive textbooks appear to be the tools of choice in mathematics instruction in the foreseeable future. It is important, therefore, to establish the theoretical foundations of design that define student-textbook-teacher interactions. In our long-term research, we suggested, tested, and refined a semiotic framework that offers a set of terms helpful in analyzing how the designed features of interactive diagrams (IDs) function in these interactions. The present chapter summarizes key design decisions about resources and constraints of interactive texts according to various semiotic functions, and discusses the role of designed resources and constraints of the IDs in student engagement with interactive texts.
KeywordsTask design Interactive textbooks Semiotic Interactive diagrams Examples Representations
This study was supported by the I-CORE Program of the Planning and Budgeting Committee and The Israel Science Foundation (1716/12).
- Davydov, V. (1972/1990). Types of generalization in instruction. Soviet Studies in Mathematics Education, 2. Google Scholar
- Kress, G., & van Leeuwen, T. (1996). Reading images the grammar of visual design. London: Routledge.Google Scholar
- Margolinas, C. (2013). Task design in mathematics education. In Proceedings of ICMI Study 22. ICMI Study 22.Google Scholar
- Murata, A. (2008). Mathematics teaching and learning as a mediating process: The case of tape diagrams. Mathematical Thinking and Learning, 10(4), 374–406.Google Scholar
- Naftaliev, E. (2012). Interactive diagrams: Mathematical engagements with interactive text. Ph.D. Thesis, University of Haifa, Faculty of Education, Haifa.Google Scholar
- Naftaliev, E. & Yerushalmy, M. (2009). Interactive diagrams: Alternative practices for the design of algebra inquiry. In Proceedings of the 33rd Annual Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, 185–192). Greece: ThessalonikiGoogle Scholar
- Schwartz, J. L. (1995). The right size byte: Reflections on educational software designer. In D. Persinks, J. Schwartz, M. West, & S. Wiske (Eds.), Software goes to school (pp. 172–182). New York: Oxford University Press.Google Scholar
- Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.Google Scholar
- Yerushalmy, M. (1993). Generalizations in geometry. In J. Schwartz, M. Yerushalmy, & B. Wilson (Eds.), The geometric supposer: What it is a case of? (pp. 57–84). NJ: Erlbaum Inc.Google Scholar
- Yerushalmy, M., & Naftaliev, E. (2011). Design of interactive diagrams structured upon generic animations. Technology, Knowledge and Learning, 16(3), 221–245.Google Scholar