The paper shows how problem solving competences can be developed by solving contextualized problems using an Advanced Computing Environment (ACE). An ACE is a computer system which enables its user to perform numeric and symbolic computations, graphical representations in two and three dimensions, insert embedded components and create interactive worksheet, all in the same user-friendly environment. An ACE allows students to approach a problematic situation in the way that most suits their thinking, to use different types of representations according to the chosen strategy and to display the whole reasoning together with verbal explanation in the same page: in other words, they can fulfill all the processes that problem solving involves. This paper analyzes a problem solving activity with an ACE proposed by the Department of Mathematics of the University of Turin, and clarifies, also through examples, how the use of the ACE makes it possible to solve real and relevant problems, facilitates the comprehension of the situation and of the Mathematics laying behind and enhance critical thinking.

Developing problem solving competences through the resolution of contextualized problems with an Advanced Computing Environment

BARANA, ALICE;FIORAVERA, MICHELE;MARCHISIO, Marina
2017

Abstract

The paper shows how problem solving competences can be developed by solving contextualized problems using an Advanced Computing Environment (ACE). An ACE is a computer system which enables its user to perform numeric and symbolic computations, graphical representations in two and three dimensions, insert embedded components and create interactive worksheet, all in the same user-friendly environment. An ACE allows students to approach a problematic situation in the way that most suits their thinking, to use different types of representations according to the chosen strategy and to display the whole reasoning together with verbal explanation in the same page: in other words, they can fulfill all the processes that problem solving involves. This paper analyzes a problem solving activity with an ACE proposed by the Department of Mathematics of the University of Turin, and clarifies, also through examples, how the use of the ACE makes it possible to solve real and relevant problems, facilitates the comprehension of the situation and of the Mathematics laying behind and enhance critical thinking.
3rd International Conference on Higher Education Advances, HEAd’17
Valencia
21-23 giugno 2017
Proceedings of the 3rd International Conference on Higher Education Advances (HEAd’17)
Editorial Universitat Politècnica de València
1015
1023
978-84-9048-590-3
Advanced Computing Environment, Contextualized problems, Critical thinking, Mathematical competence; Mathematical representations, Problem Solving
Barana, Alice; Fioravera, Michele; Marchisio, Marina
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1645139
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