Optimization is among the oldest mathematical applications in history: human nature tends to obtain the best results with the minimum effort, in many sectors. Nevertheless, optimization and operations research as mathematical disciplines struggle to find their place in high school syllabi and it is usually very hard to explain what they are about to students and common people. This could be due to a lack of “optimization culture” that prevents one to see that many problems that we tackle everyday are actually optimization problems, or a lack of mathematical culture in a broader sense. With this paper we report on a small experience carried out in an Italian high school where we attempted to close this gap. Rather than using a conventional approach, we introduced a set of games, puzzles and challenges based on optimization problems that stimulated students’ intuition and creativity. Indeed the aim of this experiment was not teaching specific optimization methods, but starting the construction of an “optimization awareness” in the students.
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DOI : 10.1051/ro/2019013
Mots-clés : Creativity, intuition, applied mathematics, optimization, operations research, active learning, orienteering
@article{RO_2020__54_2_585_0, author = {Fornasiero, Marianna and Malucelli, Federico}, title = {Making high school students aware of optimization through games and puzzles}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {585--595}, publisher = {EDP-Sciences}, volume = {54}, number = {2}, year = {2020}, doi = {10.1051/ro/2019013}, zbl = {1434.97013}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2019013/} }
TY - JOUR AU - Fornasiero, Marianna AU - Malucelli, Federico TI - Making high school students aware of optimization through games and puzzles JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 585 EP - 595 VL - 54 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2019013/ DO - 10.1051/ro/2019013 LA - en ID - RO_2020__54_2_585_0 ER -
%0 Journal Article %A Fornasiero, Marianna %A Malucelli, Federico %T Making high school students aware of optimization through games and puzzles %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 585-595 %V 54 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2019013/ %R 10.1051/ro/2019013 %G en %F RO_2020__54_2_585_0
Fornasiero, Marianna; Malucelli, Federico. Making high school students aware of optimization through games and puzzles. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 2, pp. 585-595. doi : 10.1051/ro/2019013. http://www.numdam.org/articles/10.1051/ro/2019013/
[1] Using mixed-integer programming to win a cycling game. INFORMS Trans. Edu. 11 (2011) 93–99. | DOI
, , and ,[2] The evolution of the isoperimetric problem. Am. Math. Mon. 112 (2005) 526–566. | DOI | MR | Zbl
,[3] Guided discovery in a community of learners, edited by: . In: Classroom Lessons: Integrating Cognitive Theory and Classroom Practice. MIT Press/Bradford Books, Cambridge (MA) (1994). | DOI
and ,[4] The act of discovery. Harv. Edu. Rev. 31 (1961) 21–32.
,[5] Innovative education: “Ottimizziamo!” (“Let’s optimize!”). ORMS Today 45 (2018) 32–35.
and ,[6] What makes an insight problem? The roles of heuristics, goal conception and solution recoding in knowledge-lean problems. J. Exp. Psychol.: Learn. Mem. Cognit. 30 (2004) 14–27.
, and ,[7] Intuizione e creatività: il potere del gioco. L’insegnamento della Matematica e delle Scienze Integrate, Centro Ricerche Didattiche Ugo Morin 40B (2017) 439–462.
, and ,[8] Empowering optimization skills through an orienteering competition. To appear. INFORMS Trans. Edu. (2018).
, , and ,[9] Mathematical modelling and activation – a study on a large class, a project-based task and students’ flow. In: INDRUM 2018 Second Conference of the International Network for Didactic Research in University Mathematics, Apr. 2018, Kristianland, Norway (2018).
, and ,[10] Alla ricerca della via più breve: un’avventura matematica. Springer-Verlag Italia (2005). | Zbl
and ,[11] Teaching for creativity: How to shape creative attitudes in teachers and in students, edited by , and . In: Teaching Creatively and Teaching Creativity. Springer, New York, NY (2013) pp. 15–39. | DOI
and ,[12] Knapsack Problems. Springer, Berlin (2004). | DOI | MR | Zbl
, and ,[13] Problem Solving Trough Problems. Springer, Berlin (1985). | MR | Zbl
,[14] Flow theory and research, edited by and . In: Oxford Handbook of Positive Psychology. Oxford University Press, Oxford (UK) (2009) pp. 195–206.
and ,[15] Guide to Teaching Puzzle-based Learning. Springer, Berlin (2014). | DOI | Zbl
, , and ,[16] Thought and Language: Revised and Expanded Edition. MIT press, Cambridge (MA) (2012).
,[17] Studies on the History of Behavior: Ape, Primitive and Child. LEA Publishers, Hillsdale (NJ) (2013). | DOI
, and ,[18] Productive Thinking. Harper, New York, NY (1945).
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