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A Mathematical Problem-Solving Approach to Identify and Explore Instructional Routes Based On the Use of Computational Tools
Abstract
To what extent do technology developments influence teachers’ instructional practices? How can teachers incorporate mathematics education research into their learning activities? What types of mathematical and didactical knowledge becomes relevant for teachers to foster students´ development of conceptual understanding, and problem-solving approaches? It is argued that a community of inquiry, formed by teachers, mathematicians, and mathematics educators, becomes important to examine and analyze in-depth mathematical tasks or problems. Interaction within this community is based on fostering an inquisitive or inquiring approach to identify, to make sense, and comprehend mathematical ideas, or relations, and to solve problems. Furthermore, the use of computational tools (dynamic software and hand-held calculators) could help teachers and students explore and analyze mathematical tasks in ways that can enhance and complement paper and pencil approaches.
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