Problem Posing And Problem Solving In Mathematics Education

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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 : 46,9 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. ​​

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 : 45,8 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.

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 : 44,8 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.

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 : 54,6 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 : 47,6 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.

Problem Posing

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

Author : Stephen I. Brown,Marion I. Walter
Publisher : Psychology Press
Page : 355 pages
File Size : 47,9 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.

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 : 53,7 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

This book encourages readers to shift their thinking about problem posing from the "other" to themselves (i.e. that they can develop problems themselves) and offers a broader conception of what can be done with problems.

Problem Solving in Mathematics Education

Torsten Fritzlar,Daiela Assmus,Kerstin Bräuning,Ana Kuzle,Benjamin Rott
Problem Solving in Mathematics Education Book PDF

Author : Torsten Fritzlar,Daiela Assmus,Kerstin Bräuning,Ana Kuzle,Benjamin Rott
Publisher : WTM-Verlag Münster
Page : 250 pages
File Size : 43,8 Mb
Release : 2016-06-30
Category : Juvenile Nonfiction
ISBN : 9783959870139

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Problem Solving in Mathematics Education by Torsten Fritzlar,Daiela Assmus,Kerstin Bräuning,Ana Kuzle,Benjamin Rott Pdf

From 3rd to 5th of September 2015 the 17th international ProMath conference (Problem Solving in Mathematics Education) took place at the Faculty of Education of the Martin Luther University Halle-Wittenberg (Germany). For the first time, it was combined with the annual meeting of the working group “Problem Solving” of the Society of Didactics of Mathematics. This book contains 20 peer reviewed articles of researchers from five European countries. The topics of the papers evolved around different areas of learning and problem solving. There are some theoretical papers on problem oriented mathematics instruction and specific aspects of problem solving and creativity as well as reports on detailed studies of problem solving processes of pupils and preservice teachers. Authors also present experiences with “real” problem solving instruction in different countries, considerations and teaching experiments on didactic concepts to foster pupils’ problem solving abilities, and they describe mathematically rich problem fields and their potentials for mathematical investigations in class. ProMath is a group of experienced and early career researchers in the field of mathematics education who are interested in investigating and fostering mathematical problem solving and problem oriented mathematics teaching.

Mathematical Problem Posing

Lukas Baumanns
Mathematical Problem Posing Book PDF

Author : Lukas Baumanns
Publisher : Springer Nature
Page : 299 pages
File Size : 47,6 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.

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 : 46,7 Mb
Release : 1990
Category : Education
ISBN : 9780805802573

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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

Mathematical Problem Solving

Berinderjeet Kaur,Ban Har Yeap,Manu Kapur
Mathematical Problem Solving Book PDF

Author : Berinderjeet Kaur,Ban Har Yeap,Manu Kapur
Publisher : World Scientific
Page : 287 pages
File Size : 45,6 Mb
Release : 2009
Category : Education
ISBN : 9789814277204

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Mathematical Problem Solving 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 thirteen 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 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 : 42,7 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.

Integrating Computers And Problem Posing In Mathematics Teacher Education

Abramovich Sergei
Integrating Computers And Problem Posing In Mathematics Teacher Education Book PDF

Author : Abramovich Sergei
Publisher : World Scientific
Page : 256 pages
File Size : 47,9 Mb
Release : 2018-09-12
Category : Education
ISBN : 9789813273931

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Integrating Computers And Problem Posing In Mathematics Teacher Education by Abramovich Sergei Pdf

The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.

Problem Solving in Mathematics, Grades 3-6

Alfred S. Posamentier,Stephen Krulik
Problem Solving in Mathematics Grades 3 6 Book PDF

Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 153 pages
File Size : 55,8 Mb
Release : 2009-02-25
Category : Education
ISBN : 9781412960670

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Problem Solving in Mathematics, Grades 3-6 by Alfred S. Posamentier,Stephen Krulik Pdf

Problem-solving skills are critical to students' success in mathematics, but the techniques can't be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem-solving skills, this book helps teachers engage students in the process. Problem Solving in Mathematics, Grades 3-6 presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can Use the strategies with students at different grade levels Incorporate these strategies into a mathematics program Apply each strategy to real-life situations Make each strategy an integral part of students' thinking processes With helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics! Book jacket.

Broadening the Scope of Research on Mathematical Problem Solving

Nélia Amado,Susana Carreira,Keith Jones
Broadening the Scope of Research on Mathematical Problem Solving Book PDF

Author : Nélia Amado,Susana Carreira,Keith Jones
Publisher : Springer
Page : 579 pages
File Size : 44,8 Mb
Release : 2018-11-30
Category : Education
ISBN : 9783319998619

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Broadening the Scope of Research on Mathematical Problem Solving by Nélia Amado,Susana Carreira,Keith Jones Pdf

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.