Interpretation of pV graphics
https://doi.org/10.17583/redimat.11406
Keywords:
Downloads
Number of words in the article:
5088Abstract
Downloads
References
Arzarello, F., Olivero, F., Domingo, P. & Ornella, R. (2002). A cognitive analysis of dragging practices in Cabri environments. Zentralblatt für mathematic. 34 (3), 66 – 72. https://doi.org/10.1007/BF02655708
Google Scholar CrossrefBreidenbach, D., Hawks, J., Nichols, D. & Dubinsky, E. (1992). Development of the process conception of function. Educational Studies in Mathematics, 23(4), 247–285. https://doi.org/10.1007/BF02309532
Google Scholar CrossrefElby, A. (2000). What students’ learning of representations tells us about constructivism. Journal of Mathematical Behavior, 19(4, 4th quarter, 2000), 481–502. https://doi.org/10.1016/S0732-3123(01)00054-2
Google Scholar CrossrefFalcade, R., Laborde, C., & Mariotti, M. (2007). Approaching functions: Cabri tools as instruments of semiotic mediation. Educational Studies in Mathematics, 66(3), 317- 333. https://doi:10.1007/S10649-006-9072-Y
Google Scholar CrossrefFriel, 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. https://doi.org/10.2307/749671
Google Scholar CrossrefGonzález, G., & Herbst, P. G. (2009). Students’ conceptions of congruency through the use of dynamic geometry software. International Journal of Computers for Mathematical Learning, 14, 153-182. https://doi.org/10.1007/s10758-009-9152-z
Google Scholar CrossrefJanvier, C. (1987) (Ed.). Problems of representation in the teaching and learning of mathematics. Lawrence Erlbaum.
Google Scholar CrossrefLaborde, C, Kynigos, C., Hollebrands, K., & Strässer, R. (2006).Teaching and learning geometry with technology. In A. Gutiérrez & P. Boero (Eds.), Handbook of Research on the Psychology of Mathematics Education: Past, Present and Future, (275–304). Sense Publishers. https://doi.org/10.1163/9789087901127_011
Google Scholar CrossrefLeinhardt, G., Zaslavsky, O., & Stein, M. M. (1990). Functions, graphs, and graphing: Tasks, learning and teaching. Review of Educational Research, 60(1), 1–64. http://dx.doi.org/10.3102/00346543060001
Google Scholar CrossrefLeung, A. (2003). Dynamic Geometry and The Theory of Variation. International Group for the Psychology of Mathematics Education, 3, 197-204.
Google Scholar CrossrefLingefjärd, T & Farahani, D. (2017). The Elusive Slope. International Journal of Science and Mathematics Education. Open Access. http://dx.doi.org/10.1007/s10763-017-9811-9
Google Scholar CrossrefMarrades, R., & Gutiérrez, Á. (2000). Proofs produced by secondary school students learning geometry in a dynamic computer environment. Educational studies in mathematics, 44, 87-125.
Google Scholar CrossrefMarton, F. & Booth, S. (1997). Learning and Awareness. Lawrence Erlbaum Associates.
Google Scholar CrossrefMoreno-Armella, L., Hegedus, S. J., & Kaput, J. J. (2008). From static to dynamic mathematics: historical and representational perspectives. Educational Studies in Mathematics, 68 (2), 99-111. https://doi.org/10.1007/s10649-008-9116-6
Google Scholar CrossrefPea, R. D. (1985). Beyond amplification: Using the computer to reorganize mental functioning. Educational Psychologist, 20(4), 167–182. https://doi.org/10.1207/s15326985ep2004_2
Google Scholar CrossrefPea, R. D. (1987). Cognitive technologies in mathematics education. In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 89–122). Erlbaum.
Google Scholar CrossrefSfard, A. (1992). Operational origins of mathematical objects and the quandary of reification—The case of function. In E. Dubinsky & G. Harel (Eds.), The concept of function: Aspects of epistemology and pedagogy (pp. 59–84). Mathematical Association of America.
Google Scholar CrossrefTrigueros, M., & Martínez-Planell, R. (2010). Geometrical representations in the learning of two-variable functions. Educational studies in mathematics, 73, 3-19. https://doi.org/10.1007/s10649-009-9201-5
Google Scholar CrossrefZbiek, R. M., Heid, M. K., Blume, G.W., and Dick, T. P. (2007). Research on technology in mathematics education, A perspective of constructs. F. K. Lester (Ed.), Second Handbook of Research on Mathematics Teaching and Learning (pp. 1169-1207). Information Age.
Google Scholar CrossrefDownloads
Published
Almetric
Dimensions
Issue
Section
License
Copyright (c) 2023 Thomas Lingefjärd
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright and grant the journal the right of first publication but allow anyone to share: (unload, , reprint, distribute and/or copy) and adapt (remix, transform reuse, modify,) for any proposition, even commercial, always quoting the original source.