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Abstract
I present my perspective on the design process in this article, arguing for a focus on student learning and "slow design" that stems from knowledge of mathematics and their support system in the learning process. I have a question about the design process academization and task design research direction. Numerous examples from my work at the Freudenthal Institute are used to illustrate this paper.
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References
- Anderson, J. R., Lebiere, C., & Lovett, M. (1998). Performance. In J. R. Anderson & C. Lebiere (Eds.),
- Atomic Components of Thought (pp. 57–100). Mahwah, NJ: Erlbaum.
- Berlyne, D. E. (1954). A theory of human curiosity. British Journal of Psychology, 45(3), 180-191. Black, P., & Wiliam, D. (1998). Inside the black box: Raising standards through classroom assessment.
- Phi Delta Kappan, 80(2), 139-148. http://weaeducation.typepad.co.uk/ files/blackbox-1.pdf
- Clements, D. H. (2001). Mathematics in the Pre-School Teaching Children Mathematics. Reston: NCTM.
- Collopy, F. (2009). Lessons learned – Why the failure of systems thinking should inform the future of design thinking. Fast Company blog. http://www.fastcompany.com/1291598/ lessons-learned- why-failure-systems-thinking-should-inform-future-design-thinking
- de Lange, J. (1977). Funkties van twee variabelen. Utrecht: I.O.W.O. de Lange, J. (1978). Vlieg er eens in. Utrecht: I.O.W.O.
- de Lange, J. (1980). Vlieg er eens in. Utrecht: I.O.W.O.
- de Lange, J. (1984). Fliegen, Papierflieger, Segelfliegen, Flugnavigation, Optimal fliegen, Point of no return. Mathematik Lehren, 6.
- de Lange, J. (2013). http://jdlange.nl/category/meester-jan/
- de Lange, J. (2015) There is, probably, no need for this presentation. In A. Watson & M. Ohtani (Eds.). Task Design In Mathematics Education. New ICMI Study Series. Cham: Springer. https://doi.org/10.1007/978-3-319-09629-2_10
- de Lange, J., & Kindt, M. (1984). Sinus, Culemborg. Culemborg: Educaboek.
- de Lange, J., Feijs, E., Munk, F., Broekhof, K., de Lara, H. C. (2013). Speel goed!: op ontdekking met je spelende kind. Tilburg: Zwijsen Uitgeverij
- de Lange, J., Roodhardt, A., Pligge, M., Simon, A., Middleton, J., & Cole, B. (2003). Digging Numbers.
- Chicago. IL: Encyclopaedia Britannica.
- Feijs, E., de Lange, J., van Reeuwijk, M., Spence, M., Brendefur, J., & Pligge, M. (2006). Looking at an angle. In Mathematics in context. Chicago, IL: Encyclopaedia Britannica.
- Freudenthal, H., Janssen, G. M., Sweers, W. J., van Barneveld, G. B., Bosman, J. N., van den Brink, F. J., ... & Wijdeveld, E. J. (1976). Five years IOWO. Educational Studies in Mathematics, 7(3), 185-367. https://www.jstor.org/stable/3481887
- Loewy, E. H. (1998). Curiosity, imagination, compassion, science and ethics: Do curiosity and imagination serve a central function?. Health Care Analysis, 6(4), 286-294. https://doi.org/10.1007/BF02678364
- Mechler, H. M. (2015) Applying math and science concepts in preschool classrooms. Texas Child Care Quarterly, 39(2), 1-4. http://childcarequarterly.com/pdf/fall15_math-science.pdf
- Resnick, M. (2017). Lifelong Kindergarten. Cambridge: MIT Press.
- Schoenfeld, A. H. (2009). Bridging the cultures of educational research and design. Educational Designer, 1(2), 1-22.
- http://www.educationaldesigner.org/ed/volume1/issue2/article5/pdf/ed_1_2_schoenfeld_09.pdf Schön, D. A. (1995). The new scholarship requires a new epistemology. Change, 27(6), 27–34.
- Schunn, C. (2008). Engineering educational design. Educational Designer, 1(1), 1-21.
- https://www.educationaldesigner.org/ed/volume1/issue1/article2/pdf/ed_1_1_schunn_08.pdf
- Stein, J. (2013). Millennials: The me me me generation. Time Magazine. Available from http:// time.com/247/millennials-the-me-me-me-generation/
- van Reeuwijk, M. (1995). Students' Knowledge of Algebra. In L. Meira & D. Carahe (Eds.), Proceedings of the 19th International Conference for the Psychology of Mathematics (Vol. 1, pp. 1-135). Recife: Universidade Federal de Pernambuco Graduate Program in Cognitive Psychology
- Webster, M. (2008). http://www.learnersdictionary.com/definition/design
References
Anderson, J. R., Lebiere, C., & Lovett, M. (1998). Performance. In J. R. Anderson & C. Lebiere (Eds.),
Atomic Components of Thought (pp. 57–100). Mahwah, NJ: Erlbaum.
Berlyne, D. E. (1954). A theory of human curiosity. British Journal of Psychology, 45(3), 180-191. Black, P., & Wiliam, D. (1998). Inside the black box: Raising standards through classroom assessment.
Phi Delta Kappan, 80(2), 139-148. http://weaeducation.typepad.co.uk/ files/blackbox-1.pdf
Clements, D. H. (2001). Mathematics in the Pre-School Teaching Children Mathematics. Reston: NCTM.
Collopy, F. (2009). Lessons learned – Why the failure of systems thinking should inform the future of design thinking. Fast Company blog. http://www.fastcompany.com/1291598/ lessons-learned- why-failure-systems-thinking-should-inform-future-design-thinking
de Lange, J. (1977). Funkties van twee variabelen. Utrecht: I.O.W.O. de Lange, J. (1978). Vlieg er eens in. Utrecht: I.O.W.O.
de Lange, J. (1980). Vlieg er eens in. Utrecht: I.O.W.O.
de Lange, J. (1984). Fliegen, Papierflieger, Segelfliegen, Flugnavigation, Optimal fliegen, Point of no return. Mathematik Lehren, 6.
de Lange, J. (2013). http://jdlange.nl/category/meester-jan/
de Lange, J. (2015) There is, probably, no need for this presentation. In A. Watson & M. Ohtani (Eds.). Task Design In Mathematics Education. New ICMI Study Series. Cham: Springer. https://doi.org/10.1007/978-3-319-09629-2_10
de Lange, J., & Kindt, M. (1984). Sinus, Culemborg. Culemborg: Educaboek.
de Lange, J., Feijs, E., Munk, F., Broekhof, K., de Lara, H. C. (2013). Speel goed!: op ontdekking met je spelende kind. Tilburg: Zwijsen Uitgeverij
de Lange, J., Roodhardt, A., Pligge, M., Simon, A., Middleton, J., & Cole, B. (2003). Digging Numbers.
Chicago. IL: Encyclopaedia Britannica.
Feijs, E., de Lange, J., van Reeuwijk, M., Spence, M., Brendefur, J., & Pligge, M. (2006). Looking at an angle. In Mathematics in context. Chicago, IL: Encyclopaedia Britannica.
Freudenthal, H., Janssen, G. M., Sweers, W. J., van Barneveld, G. B., Bosman, J. N., van den Brink, F. J., ... & Wijdeveld, E. J. (1976). Five years IOWO. Educational Studies in Mathematics, 7(3), 185-367. https://www.jstor.org/stable/3481887
Loewy, E. H. (1998). Curiosity, imagination, compassion, science and ethics: Do curiosity and imagination serve a central function?. Health Care Analysis, 6(4), 286-294. https://doi.org/10.1007/BF02678364
Mechler, H. M. (2015) Applying math and science concepts in preschool classrooms. Texas Child Care Quarterly, 39(2), 1-4. http://childcarequarterly.com/pdf/fall15_math-science.pdf
Resnick, M. (2017). Lifelong Kindergarten. Cambridge: MIT Press.
Schoenfeld, A. H. (2009). Bridging the cultures of educational research and design. Educational Designer, 1(2), 1-22.
http://www.educationaldesigner.org/ed/volume1/issue2/article5/pdf/ed_1_2_schoenfeld_09.pdf Schön, D. A. (1995). The new scholarship requires a new epistemology. Change, 27(6), 27–34.
Schunn, C. (2008). Engineering educational design. Educational Designer, 1(1), 1-21.
https://www.educationaldesigner.org/ed/volume1/issue1/article2/pdf/ed_1_1_schunn_08.pdf
Stein, J. (2013). Millennials: The me me me generation. Time Magazine. Available from http:// time.com/247/millennials-the-me-me-me-generation/
van Reeuwijk, M. (1995). Students' Knowledge of Algebra. In L. Meira & D. Carahe (Eds.), Proceedings of the 19th International Conference for the Psychology of Mathematics (Vol. 1, pp. 1-135). Recife: Universidade Federal de Pernambuco Graduate Program in Cognitive Psychology
Webster, M. (2008). http://www.learnersdictionary.com/definition/design