Mathematical Problem Posing

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Mathematical Problem Posing

Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai
Mathematical Problem Posing Book PDF

Author : Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai
Publisher : Springer
Page : 587 pages
File Size : 50,7 Mb
Release : 2015-06-12
Category : Education
ISBN : 9781461462583

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Mathematical Problem Posing by Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai Pdf

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. ​​

Mathematical Problem Posing

Lukas Baumanns
Mathematical Problem Posing Book PDF

Author : Lukas Baumanns
Publisher : Springer Nature
Page : 299 pages
File Size : 44,5 Mb
Release : 2022-11-19
Category : Mathematics
ISBN : 9783658399177

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Mathematical Problem Posing by Lukas Baumanns Pdf

Mathematical problem posing as the substantive formulation of mathematical problems is an activity that lies at the heart of mathematics. In recent years, research in mathematics education has endeavored to gain insights into problem posing—conceptually as well as empirically. In problem-posing research, there has been a focus on analyzing products, that is, the posed problems. Insights into the processes that lead to these products, however, have so far been lacking. Within four journal articles, summarized in this cumulative dissertation, the author attempts to contribute to the understanding of problem-posing processes through conceptual considerations and empirical investigations. The conceptual part consists of a conducted systematic literature review to investigate problem-posing situations and problem-posing activities. The studies in the empirical part deal with the analyses of problem-posing processes of pre-service mathematics teachers from a macroscopic and microscopic perspective. The aim is to develop coherent and meaningful conceptual perspectives for analyzing empirical observations of problem-posing processes.

Posing and Solving Mathematical Problems

Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick
Posing and Solving Mathematical Problems Book PDF

Author : Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick
Publisher : Springer
Page : 402 pages
File Size : 40,6 Mb
Release : 2016-04-29
Category : Education
ISBN : 9783319280233

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Posing and Solving Mathematical Problems by Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick Pdf

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Mathematical Problem Solving

Peter Liljedahl,Manuel Santos-Trigo
Mathematical Problem Solving Book PDF

Author : Peter Liljedahl,Manuel Santos-Trigo
Publisher : Springer
Page : 362 pages
File Size : 42,5 Mb
Release : 2019-02-12
Category : Education
ISBN : 9783030104726

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Mathematical Problem Solving by Peter Liljedahl,Manuel Santos-Trigo Pdf

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.

The Art of Problem Posing

Stephen I. Brown,Marion I. Walter
The Art of Problem Posing Book PDF

Author : Stephen I. Brown,Marion I. Walter
Publisher : Psychology Press
Page : 178 pages
File Size : 54,8 Mb
Release : 2005-01-15
Category : Education
ISBN : 9781135612245

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The Art of Problem Posing by Stephen I. Brown,Marion I. Walter Pdf

Describes and provides examples of the relationships between problem posing and problem solving, and explores the educational potential of integrating the two activities in classrooms. It encourages readers to shift their thinking about problem posing from the "other" to themselves and offers a broader conception of what can be done with problems.

Problem Solving in Mathematics Education

Peter Liljedahl,Manuel Santos-Trigo,Uldarico Malaspina,Regina Bruder
Problem Solving in Mathematics Education Book PDF

Author : Peter Liljedahl,Manuel Santos-Trigo,Uldarico Malaspina,Regina Bruder
Publisher : Springer
Page : 46 pages
File Size : 53,7 Mb
Release : 2016-06-27
Category : Education
ISBN : 9783319407302

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Problem Solving in Mathematics Education by Peter Liljedahl,Manuel Santos-Trigo,Uldarico Malaspina,Regina Bruder Pdf

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.

The Art of Problem Posing

Stephen I. Brown,Marion I. Walter
The Art of Problem Posing Book PDF

Author : Stephen I. Brown,Marion I. Walter
Publisher : Routledge
Page : 162 pages
File Size : 54,7 Mb
Release : 2012-11-12
Category : Education
ISBN : 9781136464645

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The Art of Problem Posing by Stephen I. Brown,Marion I. Walter Pdf

Updated and expanded, this second edition satisfies the same philosophical objective as the first -- to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is the innovator in the field. Special features include: * an exploration ofthe logical relationship between problem posing and problem solving * a special chapter devoted to teaching problem posing as a separate course * sketches, drawings, diagrams, and cartoons that illustrate the schemes proposed * a special section on writing in mathematics

Problem Posing

Stephen I. Brown,Marion I. Walter
Problem Posing Book PDF

Author : Stephen I. Brown,Marion I. Walter
Publisher : Psychology Press
Page : 360 pages
File Size : 55,6 Mb
Release : 2014-01-14
Category : Education
ISBN : 9781317717386

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Problem Posing by Stephen I. Brown,Marion I. Walter Pdf

As a result of the editors' collaborative teaching at Harvard in the late 1960s, they produced a ground-breaking work -- The Art Of Problem Posing -- which related problem posing strategies to the already popular activity of problem solving. It took the concept of problem posing and created strategies for engaging in that activity as a central theme in mathematics education. Based in part upon that work and also upon a number of articles by its authors, other members of the mathematics education community began to apply and expand upon their ideas. This collection of thirty readings is a testimony to the power of the ideas that originally appeared. In addition to reproducing relevant materials, the editors of this book of readings have included a considerable amount of interpretive text which places the articles in the context of problem solving. While the preponderance of essays focus upon mathematics and mathematics education, some of them point to the relevance of problem posing to other fields such as biology or psychology. In the interpretive text that accompanies each chapter, they indicate how ideas expressed for one audience may be revisited or transformed in order to ready them for a variety of audiences.

Mathematical Problem Solving: Yearbook 2009, Association Of Mathematics Educator

Berinderjeet Kaur,Ban-har Yeap,Manu Kapur
Mathematical Problem Solving Yearbook 2009 Association Of Mathematics Educator Book PDF

Author : Berinderjeet Kaur,Ban-har Yeap,Manu Kapur
Publisher : World Scientific
Page : 288 pages
File Size : 40,9 Mb
Release : 2009-05-15
Category : Education
ISBN : 9789814467612

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Mathematical Problem Solving: Yearbook 2009, Association Of Mathematics Educator by Berinderjeet Kaur,Ban-har Yeap,Manu Kapur Pdf

This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies.The chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators.

Problem Posing and Problem Solving in Mathematics Education

Tin Lam Toh,Manuel Santos-Trigo,Puay Huat Chua,Nor Azura Abdullah,Dan Zhang
Problem Posing and Problem Solving in Mathematics Education Book PDF

Author : Tin Lam Toh,Manuel Santos-Trigo,Puay Huat Chua,Nor Azura Abdullah,Dan Zhang
Publisher : Springer Nature
Page : 263 pages
File Size : 45,7 Mb
Release : 2024-01-01
Category : Mathematics
ISBN : 9789819972050

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Problem Posing and Problem Solving in Mathematics Education by Tin Lam Toh,Manuel Santos-Trigo,Puay Huat Chua,Nor Azura Abdullah,Dan Zhang Pdf

This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students’ mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.

What's Your Problem?

Penny Skinner
What s Your Problem Book PDF

Author : Penny Skinner
Publisher : Heinemann Educational Books
Page : 140 pages
File Size : 44,5 Mb
Release : 1991
Category : Arithmetic
ISBN : UOM:49015001275214

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What's Your Problem? by Penny Skinner Pdf

This book contains material that will help any primary-grade teacher improve the problem-solving section of the mathematics program.

Problem Posing and Solving for Mathematically Gifted and Interested Students

Deniz Sarikaya,Lukas Baumanns,Karl Heuer,Benjamin Rott
Problem Posing and Solving for Mathematically Gifted and Interested Students Book PDF

Author : Deniz Sarikaya,Lukas Baumanns,Karl Heuer,Benjamin Rott
Publisher : Springer Nature
Page : 234 pages
File Size : 55,7 Mb
Release : 2023-10-31
Category : Mathematics
ISBN : 9783658410612

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Problem Posing and Solving for Mathematically Gifted and Interested Students by Deniz Sarikaya,Lukas Baumanns,Karl Heuer,Benjamin Rott Pdf

Mathematics and mathematics education research have an ongoing interest in improving our understanding of mathematical problem posing and solving. This book focuses on problem posing in a context of mathematical giftedness. The contributions particularly address where such problems come from, what properties they should have, and which differences between school mathematics and more complex kinds of mathematics exist. These perspectives are examined internationally, allowing for cross-national insights.

Problem Posing

Stephen I. Brown,Marion I. Walter
Problem Posing Book PDF

Author : Stephen I. Brown,Marion I. Walter
Publisher : Psychology Press
Page : 371 pages
File Size : 45,5 Mb
Release : 2014-01-14
Category : Education
ISBN : 9781317717379

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Problem Posing by Stephen I. Brown,Marion I. Walter Pdf

As a result of the editors' collaborative teaching at Harvard in the late 1960s, they produced a ground-breaking work -- The Art Of Problem Posing -- which related problem posing strategies to the already popular activity of problem solving. It took the concept of problem posing and created strategies for engaging in that activity as a central theme in mathematics education. Based in part upon that work and also upon a number of articles by its authors, other members of the mathematics education community began to apply and expand upon their ideas. This collection of thirty readings is a testimony to the power of the ideas that originally appeared. In addition to reproducing relevant materials, the editors of this book of readings have included a considerable amount of interpretive text which places the articles in the context of problem solving. While the preponderance of essays focus upon mathematics and mathematics education, some of them point to the relevance of problem posing to other fields such as biology or psychology. In the interpretive text that accompanies each chapter, they indicate how ideas expressed for one audience may be revisited or transformed in order to ready them for a variety of audiences.

Problem Solving in Mathematics Instruction and Teacher Professional Development

Patricio Felmer,Peter Liljedahl,Boris Koichu
Problem Solving in Mathematics Instruction and Teacher Professional Development Book PDF

Author : Patricio Felmer,Peter Liljedahl,Boris Koichu
Publisher : Springer Nature
Page : 418 pages
File Size : 51,5 Mb
Release : 2019-11-22
Category : Education
ISBN : 9783030292157

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Problem Solving in Mathematics Instruction and Teacher Professional Development by Patricio Felmer,Peter Liljedahl,Boris Koichu Pdf

Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.

Technology in Mathematics Education

Mathematics Education Research Group of Australasia. Conference
Technology in Mathematics Education Book PDF

Author : Mathematics Education Research Group of Australasia. Conference
Publisher : Unknown
Page : 633 pages
File Size : 50,7 Mb
Release : 1996
Category : Mathematics
ISBN : 0959684468

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Technology in Mathematics Education by Mathematics Education Research Group of Australasia. Conference Pdf

This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra, assessment, disabilities, calculators, collective argumentation, teachers' beliefs and practice, primary mathematics, differential calculus, teachers' knowledge, trigonometry and geometry, professional development, issues in teaching, standardizing the curriculum, team writing, statistics, Newman error analysis, gender issues, Internet, transition to secondary mathematics, computers and technology, negative numbers, subtraction, aboriginal educators' views, graphics calculators, language, area, probability, word problems, classroom communication, mathematical investigations, ethics and morality, integrating science and mathematics concepts, students' attitudes, instructional computing, expository writing, mathematical autobiographies, problem posing, misconceptions, discussion-based teaching, the Riemann integral, diagrams for solving word problems, fairness and fractions in early childhood, children's probability judgments, phenomenology of writing-to-learn, teachers' beliefs about teaching behaviors, and linear programming. An author index and a subject index are also included. (JRH)