ls3 mathematical and problem solving skills reflection paper

Learning Strand 3: Mathematical and Problem-Solving Skills

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Reflections on Problem-Solving

Problem Solving in Mathematics and in Mathematics Education

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• Boris Koichu 5  

Part of the book series: Advances in Mathematics Education ((AME))

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The chapter includes four contributions on different aspects of the relationship between problem solving in mathematics and in mathematics education. Gerald Goldin points out that besides the importance of teaching students how to solve certain classes of problems, problem solving is a means of achieving some more general purposes pertaining to mathematics learning. Israel Weinzweig develops the claim that certain sequences of mathematical questions can provide students with problem-solving experiences similar to those of research mathematicians, and that such experiences are beneficial for promoting students’ conceptual understanding. Shlomo Vinner discusses the role of schemata and creativity in mathematical problem solving, and argues that the notions “problem solving in mathematics” and “problem solving in exam-oriented mathematics instruction” are incompatible. Roza Leikin presents a study aimed at identifying unique cognitive traits of intellectually gifted students who have the potential to become research mathematicians in the future. The chapter concludes with a reflective summary, in which the points made by the contributors are considered as parts of a longer-term debate on the relationships between problem solving in mathematics and in mathematics education, a conversation that has developed over the years according to a certain spiral pattern.

With contributions by

Gerald A. Goldin, Rutgers University, Piscataway, NJ, USA

A. Israel Weinzweig, University of Illinois at Chicago, Chicago, IL, USA

Shlomo Vinner, Achva College of Education, Hebrew University, Ben-Gurion University of Negev, Jerusalem, Israel

Roza Leikin, University of Haifa, Haifa, Israel

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Koichu, B. (2014). Reflections on Problem-Solving. In: Fried, M., Dreyfus, T. (eds) Mathematics & Mathematics Education: Searching for Common Ground. Advances in Mathematics Education. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7473-5_8

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LEARNING STRAND 3 - MATHEMATICAL & PROBLEM-SOLVING SKILLS

Junior high school.

MODULE 1: MEETING THE FAMILIES OF NUMBERS

MODULE 2: PLAYING WITH MISSING X’s

MODULE 3: THIS IS WHERE WE DRAW THE LINE!

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• Episode 46: Voltes V Legacy (GMA7)
• Episode 45: Voltes V Legacy (GMA7)
• Episode 44: Voltes V Legacy (GMA7)
• Episode 43: Voltes V Legacy (GMA7)

LS3: Mathematical and Problem-Solving Skills

LS3: Mathematical and Problem-Solving Skills Appreciating Statistics Area Business Math 1 Business Math 2 Estimation Interpreting Electric Bills and Meters

DepEd ALS Module 4: Recognizing Shapes and Measurement Around Me

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ALS Accreditation and Equivalency Program: Junior High School Learning Strand 3 Mathematical and Problem-Solving Skills

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