Research In Mathematical Problem Posing
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Mathematical Problem Posing
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Author : Florence Mihaela Singer
language : en
Publisher: Springer
Release Date : 2015-06-12
Mathematical Problem Posing written by Florence Mihaela Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-12 with Education categories.
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 Posing And Problem Solving In Mathematics Education
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Author : Tin Lam Toh
language : en
Publisher: Springer Nature
Release Date : 2024-01-01
Problem Posing And Problem Solving In Mathematics Education written by Tin Lam Toh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.
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.
Mathematical Problem Posing
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Author : Lukas Baumanns
language : en
Publisher: Springer Nature
Release Date : 2022-11-19
Mathematical Problem Posing written by Lukas Baumanns and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-19 with Mathematics categories.
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.
Research In Mathematical Problem Posing
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Author : Jinfa Cai
language : en
Publisher: Springer
Release Date : 2025-11-12
Research In Mathematical Problem Posing written by Jinfa Cai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-11-12 with Education categories.
This book explores mathematical problem posing in education, a topic of interest for at least 40 years. Over time, a research community has gradually formed around studying mathematical problem posing as a phenomenon of its own and as a component of mathematics instruction. This book is to provide advances on the impact of scholars (e.g., Polya, Kilpatrick, Brown, Walter, and Silver) and the role of problems in the development of mathematical ideas. It is the first book, which systematically explores the problem-posing processes, both cognitively and affectively. The book reports studies that employ problem posing as an instructional approach directed at deepening students’ understanding of learning mathematics, knowledge, skills, and cognitive and affective characteristics related to their learning of mathematics. In addition, this book examines issues related to teachers and their learning when they start to take on mathematical problem posing as an instructional practice. It describes not only changes in teachers’ beliefs and classroom instruction as a result of engaging in problem posing, but also teachers’ instructional expertise of teaching mathematics through problem posing.
Posing And Solving Mathematical Problems
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Author : Patricio Felmer
language : en
Publisher: Springer
Release Date : 2016-04-29
Posing And Solving Mathematical Problems written by Patricio Felmer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-29 with Education categories.
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.
Broadening The Scope Of Research On Mathematical Problem Solving
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Author : Nélia Amado
language : en
Publisher: Springer
Release Date : 2018-11-30
Broadening The Scope Of Research On Mathematical Problem Solving written by Nélia Amado and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-30 with Education categories.
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.
Mathematical Problem Solving
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Author : Berinderjeet Kaur
language : en
Publisher: World Scientific
Release Date : 2009
Mathematical Problem Solving written by Berinderjeet Kaur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
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.
The Teaching And Assessing Of Mathematical Problem Solving
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Author : National Council of Teachers of Mathematics
language : en
Publisher: Routledge
Release Date : 1988
The Teaching And Assessing Of Mathematical Problem Solving written by National Council of Teachers of Mathematics and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Education categories.
Mathematical Problem Solving
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Author : Peter Liljedahl
language : en
Publisher: Springer
Release Date : 2019-02-12
Mathematical Problem Solving written by Peter Liljedahl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-12 with Education categories.
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.
Mathematical Problem Solving
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Author : Frank K. Lester
language : en
Publisher:
Release Date : 1982
Mathematical Problem Solving written by Frank K. Lester and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Education categories.
This set of papers was originally developed for a conference on Issues and Directions in Mathematics Problem Solving Research held at Indiana University in May 1981. The purpose is to contribute to the clear formulation of the key issues in mathematical problem-solving research by presenting the ideas of actively involved researchers. An introduction provides an overview of each paper. The papers focus on the psychology of mathematical problem solving (R. E. Mayer), knowledge organization (E. A. Silver), implications from information-processing psychology, (D. J. Briars) building bridges between psychological and mathematics education research (F. K. Lester, Jr.), measuring problem solving outcomes (G. A. Goldin), a model for elementary teacher training in problem solving (J. F. LeBlanc), applied problem solving (R. Lesh, and M. Akerstrom), a concept-learning perspective (R. J. Shumway), and a statement of issues (H. L. Schoen). (MNS)