Problem Solving in Mathematics Education

Abstract

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The Use of Digital Technology in Extending Mathematical Problem Solving Reasoning

“…In this perspective, our research inquiry is framed around three related fields: mathematical problem solving, digital technologies, and subjects' construction of mathematical knowledge [7]. In the problem solving domain, our interest lies on orienting and discussing learners behaviours and activities in terms of three constructs: (i) the importance of goals (what do mathematics learning and problem solving activities involve?…”

The use of digital technology in finding multiple paths to solve and extend an equilateral triangle task

“…[1] That is, to think of the task it in terms of questions in order to identify relevant information and comprehend what is asked. For instance, what data or information is provided?…”

“…[1] A problem-solving environment to learn mathematics involves providing students with an opportunity to express their ideas in order to make sense of concepts and problem statements, to interact with peers and to look for different ways to represent, explore and solve mathematical tasks. [2] In this context, curriculum and instructional activities should be organized in terms of problems, questions or dilemmas to orient and foster learners' development of mathematical thinking.…”

Cumhuriyet Dönemi İlkokul Matematik Dersi Öğretim Programlarında Problem Çözme Becerisi

“…Problem solving as a practice domain is studied through several important issues such as design and implementation of curriculum documents, course syllabi, teaching materials and activities. Students' performance in routine and non routine problems, their problem solving approaches and the development of mathematical thinking facilitated by various kinds of problems have also been among the research topics in the field (Santos-Trigo, 2014). A significant proportion of research attention has focused on the understanding of mathematicians' problem solving approaches.…”