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Author: Tin Lam Toh
Publisher: Springer Nature
ISBN: 9819972051
Category : Mathematics
Languages : en
Pages : 263
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Book Description
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.
Author: Tin Lam Toh
Publisher: Springer Nature
ISBN: 9819972051
Category : Mathematics
Languages : en
Pages : 263
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Book Description
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.
Author: Frank K. Lester
Publisher: IAP
ISBN: 160752709X
Category : Education
Languages : en
Pages : 1380
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Book Description
The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
Author:
Publisher: Springer Nature
ISBN: 3031651332
Category :
Languages : en
Pages : 598
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Book Description
Author: Roi Cohen Kadosh
Publisher: Oxford University Press
ISBN: 0191036013
Category : Psychology
Languages : en
Pages : 1515
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Book Description
How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.
Author: Eric de Corte
Publisher: CRC Press
ISBN: 9789026516283
Category : Education
Languages : en
Pages : 232
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Book Description
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Author: Marilyn Nickson
Publisher: A&C Black
ISBN: 0826472370
Category : Education
Languages : en
Pages : 241
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Book Description
This is a summary of the research in all the major topics of interest and concern to teachers of mathematics, from primary (elementary) to secondary (high) schools. It is directed towards students, in-service teachers, maths advisers and tutors.
Author: Orit Zaslavsky
Publisher: Springer Science & Business Media
ISBN: 0387098127
Category : Education
Languages : en
Pages : 321
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Book Description
Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents. This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice). This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.
Author: David C. Geary
Publisher: Academic Press
ISBN: 0128133686
Category : Psychology
Languages : en
Pages : 362
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Book Description
Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children's developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. - Covers innovative measures and recent methodological advances in mathematical thinking and learning - Contains contributions that improve instruction and education in these domains - Informs policy aimed at increasing the level of mathematical proficiency in the general public
Author: Fondation Singer-Polignac. Colloque international
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 812
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Book Description
Author: Thomas Kellaghan
Publisher: World Bank Publications
ISBN: 1464805164
Category : Education
Languages : en
Pages : 201
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Book Description
L'évaluation efficace de la performance des systèmes éducatifs est un élément essentiel de la mise au point de politiques visant à optimiser le développement du capital humain dans le monde. Les cinq manuels de la collection Évaluations nationales des acquis scolaires introduisent les concepts clés des évaluations nationales du niveau de performances des élèves, dont les questions politiques à traiter dans la conception et la mise en 'uvre des évaluations ou le développement d'un test, la conception d'un questionnaire, l'échantillonnage, l'organisation et la mise en 'uvre de la collecte de données, le nettoyage et l'analyse statistique des données, la rédaction de rapports et l'exploitation des résultats pour améliorer la qualité de l'éducation. Qu'apprennent les élèves ' Dans le monde, les gouvernements qui aspirent à améliorer la qualité de l'éducation se tournent vers les évaluations nationales pour obtenir ces informations si précieuses dans les domaines clés des programmes de cours. La capacité à mener des évaluations nationales s'est remarquablement renforcée ces dernières années, mais l'utilisation généralisée des conclusions n'a pas suivi. Ce manuel vise à démontrer la valeur essentielle de ces données et à assister les pays dans l'exploitation des connaissances issues des évaluations nationales. Communiquer et utiliser les résultats d'une évaluation nationale des acquis scolaires recense les principaux facteurs qui affectent l'utilisation des constatations des évaluations nationales. Ceux-ci comprennent le contexte politique dans lequel une évaluation est menée, la nature de l'évaluation (sur la base d'un recensement ou d'un échantillon), les responsabilités de chacun vis-à -vis des résultats, et la qualité des instruments d'évaluation. Le manuel décrit le type d'informations requises dans le rapport principal d'une évaluation nationale, et d'autres moyens de communiquer les conclusions aux publics techniques et non techniques. Il énonce les principes généraux à suivre pour traduire les résultats des évaluations nationales dans le cadre de politiques et de mesures, et examine les procédures spécifiques d'utilisation des données dans l'élaboration de politiques, la gestion de l'éducation, l'enseignement et la promotion de la sensibilisation du public. Les thèmes traités dans ce volume sont de nature à intéresser les responsables des politiques, les équipes pédagogiques, les chercheurs et les professionnels du développement.
