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Apr 30, 2024 · In tracing recent research trends and directions in mathematical problem-solving, it is argued that advances in mathematics practices occur and take place around two intertwined activities, mathematics problem formulation and ways to approach and solve those problems. In this context, a problematizing principle emerges as central activity to organize mathematics curriculum proposals and ways ...
- Problem Solving in Mathematics Education
Schoenfeld presents a problem solving research program based...
- Problem Solving in Mathematics Education
- Role of Heuristics For Problem Solving—Regina Bruder
- Creative Problem Solving—Peter Liljedahl
- Digital Technologies and Mathematical Problem Solving—Luz Manuel Santos-Trigo
- Problem Posing: An Overview For Further Progress—Uldarico Malaspina Jurado
The origin of the word heuristic dates back to the time of Archimedes and is said to have come out of one of the famous stories told about this great mathematician and inventor. The King of Syracuse asked Archimedes to check whether his new wreath was really made of pure gold. Archimedes struggled with this task and it was not until he was at the b...
There is a tension between the aforementioned story of Archimedes and the heuristics presented in the previous section. Archimedes, when submersing himself in the tub and suddenly seeing the solution to his problem, wasn’t relying on osmosis, memorisation, imitation, cooperation, or reflection (Kilpatrick 1985). He wasn’t drawing on reduction, reve...
Mathematical problem solving is a field of research that focuses on analysing the extent to which problem solving activities play a crucial role in learners’ understanding and use of mathematical knowledge. Mathematical problems are central in mathematical practice to develop the discipline and to foster students learning (Pólya 1945; Halmos 1994)....
Problem posing and problem solving are two essential aspects of the mathematical activity; however, researchers in mathematics education have not emphasized their attention on problem posing as much as problem solving. In that sense, due to its importance in the development of mathematical thinking in students since the first grades, we agree with ...
- Peter Liljedahl, Manuel Santos-Trigo, Uldarico Malaspina, Regina Bruder
- 2016
Jun 28, 2016 · Problem solving in mathematics education has been a prominent research field that aims at understanding and relating the processes involved in solving problems to students’ development of ...
Apr 11, 2017 · computer-based assessment methods; and 2) the use of interacti ve problem solving in its framework (as distinct from static problem solving which was the focus of former PISA prob lem solving ...
Jan 1, 2020 · Regional or country mathematics education traditions also play a significant role in shaping and pursuing a problem-solving agenda. Artigue and Houdement summarized the use of problem-solving in mathematics education in France in terms of two influential and prominent theoretical and practical frameworks in didactic research: the theory of didactic situations (TDS) and the anthropological ...
- msantos@cinvestav.mx
problem-solving in teacher education, and thereby disentangle how mathematical problem-solving is understood and used. The method consists of a configurative review of empirical mathematics education research on problem-solving in teacher education. A two-dimensional model is presented to illustrate how different aspects
Jul 28, 2022 · , in which a new problem is desired to be posed based on a given answer; the comprehending, where a problem is posed using mathematical operations, and the . translating. processes, in which a problem is posed using visual representations. Although the last of the problem solving stages stated by Polya (1945) as . understanding the
