Combinatorial reasoning to solve problems

Tom Johannes Maria Coenen, Frits Hof, Neeltje Cornelia Verhoef

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Abstract

This study reports combinatorial reasoning to solve problems. We observed the mathematical thinking of students aged 14-16. We study the variation of the students’ solution strategies in the context of emergent modelling. The results show that the students are tempted to begin the problem solving process on the highest level and otherwise have difficulties transitioning from a lower to a higher level of activities. Qualitative analysis revealed some students’ preference of the use of formulas, while at the same time other students showed more insight by their systematic approach of the problems, leading to better results. We advocate matching emergent modelling with teaching combinatorial reasoning, stimulating students to create a relational network of knowledge.
Original languageEnglish
Number of pages4
Publication statusPublished - 24 Jul 2016
Event13th International Congress on Mathematical Education, ICME 2016 - University of Hamburg, Hamburg, Germany
Duration: 24 Jul 201631 Jul 2016
Conference number: 13
http://www.icme13.org/

Conference

Conference13th International Congress on Mathematical Education, ICME 2016
Abbreviated titleICME
CountryGermany
CityHamburg
Period24/07/1631/07/16
Internet address

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Keywords

  • METIS-313729
  • IR-98596

Cite this

Coenen, T. J. M., Hof, F., & Verhoef, N. C. (2016). Combinatorial reasoning to solve problems. Paper presented at 13th International Congress on Mathematical Education, ICME 2016, Hamburg, Germany.