Teaching Mathematics Through Problem-Solving
Teaching Mathematics Through Problem-Solving

Author: Akihiko Takahashi

Publisher: Routledge

Published: 2021-03-31

Total Pages: 159

ISBN-13: 1000359867

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This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

Teaching Mathematics through Problem-Solving in K–12 Classrooms
Teaching Mathematics through Problem-Solving in K–12 Classrooms

Author: Matthew Oldridge

Publisher: Rowman & Littlefield

Published: 2018-10-31

Total Pages: 135

ISBN-13: 1475843348

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“Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.

Teaching Mathematics Through Problem Solving
Teaching Mathematics Through Problem Solving

Author: Frank K. Lester

Publisher: National Council of Teachers of

Published: 2003

Total Pages: 0

ISBN-13: 9780873535403

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The main goal of the `teaching mathematics through problem solving' approach is to help students develop a deep understanding of mathematical concepts and methods by engaging them in trying to make sense of problematic tasks in which the mathematics to be

Teaching Mathematics Through Problem Solving
Teaching Mathematics Through Problem Solving

Author: Harold L. Schoen

Publisher: National Council of Teachers of

Published: 2003

Total Pages: 270

ISBN-13: 9780873535410

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This volume and its companion for prekindergarten through grade 6 furnish the coherence and direction that teachers need to use problem solving to teach mathematics.

Problem-Solving Through Problems
Problem-Solving Through Problems

Author: Loren C. Larson

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 322

ISBN-13: 1461254981

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This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Problem Solving in Mathematics Education
Problem Solving in Mathematics Education

Author: Peter Liljedahl

Publisher: Springer

Published: 2016-06-27

Total Pages: 46

ISBN-13: 3319407309

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This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.

Problem-Solving Strategies
Problem-Solving Strategies

Author: Arthur Engel

Publisher: Springer Science & Business Media

Published: 2008-01-19

Total Pages: 404

ISBN-13: 0387226419

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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Mathematical Problem Solving
Mathematical Problem Solving

Author: Peter Liljedahl

Publisher: Springer

Published: 2019-02-12

Total Pages: 361

ISBN-13: 3030104729

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This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

How to Solve it
How to Solve it

Author: George Pólya

Publisher: Princeton University Press

Published: 2014

Total Pages: 288

ISBN-13: 069116407X

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"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.