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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.
- Sales Rank: #2976980 in Books
- Published on: 2015-06-15
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.31" w x 6.14" l, .0 pounds
- Binding: Hardcover
- 569 pages
Review
“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)
From the Back Cover
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.
About the Author
Florence Mihaela Singer is a full professor in the Teacher Training Department of the University of Ploiesti, Romania. Her expertise is in curriculum design and development (all grades, all subjects for pre-university education), curriculum administration, teacher training, textbook development (mathematics), Educational management, and international consultancy in education.
Dr. Nerida Ellerton has two doctoral qualifications: one in theoretical and physical chemistry and one in mathematics education. She is an experienced teacher, with a specialist focus on mathematics and has taught at elementary, secondary and college levels. She was Dean of the Faculty of Education at the University of Southern Queensland for four years and is currently a full professor at Illinois State University in the Department of Mathematics.
Dr. Jinfa Cai is an affiliated Full Professor in the School of Education at the University of Delaware. His primary appointment is in the Department of Mathematical Sciences. His research interests include cognitive studies of the teaching and learning of mathematics, mathematical assessment, cross-cultural studies, problem solving and teacher education.
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