Mathematical Problem Posing
From Research to Effective Practice
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Beschreibung
This international review offers current findings on the art and science of problem posing and its multiple contributions to mathematics teaching, learning, training, and curriculum design. Diverse perspectives on problem posing frame the concept as a springboard for scientific inquiry and the process as a means to promote mathematical understanding across the primary and secondary grades. Problem posing is demonstrated as enhancing students' problem-solving skills, bolstering knowledge retention, and improving attitudes toward mathematics, and the book provides evidence-based strategies for its integration into both classroom work and teacher education. This information is particularly critical as mathematics-based knowledge continues to dominate technology and the sciences. Among the topics covered: Using digital technology for mathematical problem posing.Problem posing as a tool for identifying and developing mathematical creativity.Problem posing as providing students with content-specific motives.What high school teachers mean when they say "I pose my own problems."Problem posing as a motivational tool in primary school teacher training.Problem posing as an integral component of the mathematics curriculum. For mathematics educators as well as mathematics education researchers, Mathematical Problem Posing brings clarity and innovative understanding to a central element in the continuing progress of the field.
The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
Describes significant trends of problem posing in school mathematics Outlines the importance of appropriate problem posing in the classroom Illustrates problem posing technique for pre-service teachers Investigates the impact of problem posing and problem solving activities utilizing cultural artifacts
Autor*in
Florence Mihaela Singer
Themen in »Mathematical Problem Posing«
Data Modeling for problem posing Digital technology and mathematical problem posing Mathematical problem posing and computers Pre-service teachers and problem posing Problem Posing in Mathematics Education Problem solving and creativity in Mathematics Education
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“This edited book of 26 chapters is divided into four parts: defining the field; mathematical problem posing in the school curriculum, mathematical problem posing in teacher education, and concluding remarks. … there are many examples of problem-posing tasks scattered throughout the book’s many chapters. … the book is for mathematics education graduate students, but it could also be useful for mathematics teachers at a variety of levels who could gain ideas and tasks for classroom use.” (Annie Selden, MAA Reviews, maa.org, January, 2016)
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