Jan de Lange


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.


Design Framework; Design Process; Design Research; Slow Design; Mathematics Knowledge; Task Design; Freudenthal Institute

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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. 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. 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).

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.

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.

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.

Mechler, H. M. (2015) Applying math and science concepts in preschool classrooms. Texas Child Care Quarterly, 39(2), 1-4.

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.

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.

Stein, J. (2013). Millennials: The me me me generation. Time Magazine. Available from http://

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).



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Journal on Mathematics Education
Doctoral Program on Mathematics Education
Faculty of Teacher Training and Education, Universitas Sriwijaya
Kampus FKIP Bukit Besar
Jl. Srijaya Negara, Bukit Besar
Palembang - 30139

p-ISSN: 2087-8885 | e-ISSN: 2407-0610

Creative Commons License
Journal on Mathematics Education (JME) is licensed under a Creative Commons Attribution 4.0 International License.

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