Exploring the Integer Addition and Subtraction Landscape

Exploring the Integer Addition and Subtraction Landscape

Author: Laura Bofferding

Publisher: Springer

Published: 2018-08-24

Total Pages: 308

ISBN-13: 3319906925

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Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students’ learning. This book brings together recent work from researchers to illuminate the state of our understanding about issues related to integer addition and subtraction with a goal of highlighting how the variety of perspectives support each other or contribute to the field in unique ways. In particular, this book focuses on three main areas of integer work: students’ thinking, models and metaphors, and teachers’ thinking. Each chapter highlights a theoretically guided study centered on integer addition and subtraction. Internationally known scholars help connect the perspectives and offer additional insights through section commentaries. This book is an invaluable resource to those who are interested in mathematics education and numerical thinking.


Theories of Mathematical Learning

Theories of Mathematical Learning

Author: Leslie P. Steffe

Publisher: Routledge

Published: 2013-04-03

Total Pages: 539

ISBN-13: 1136485473

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Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "inside" of their elements of experience -- an example of what could be termed mathematical learning. This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.


Perspectives on School Algebra

Perspectives on School Algebra

Author: Rosamund Sutherland

Publisher: Springer Science & Business Media

Published: 2006-02-16

Total Pages: 277

ISBN-13: 0306472236

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This book confronts the issue of how young people can find a way into the world of algebra. It represents multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra. The book emphasizes the situated nature of algebraic activity as opposed to being concerned with identifying students' conceptions in isolation from problem-solving activity.


Handbook of Research on the Psychology of Mathematics Education

Handbook of Research on the Psychology of Mathematics Education

Author: Angel Gutiérrez

Publisher: Sense Publishers

Published: 2006

Total Pages: 538

ISBN-13: 9077874194

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Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.


Educational Dialogues

Educational Dialogues

Author: Karen Littleton

Publisher: Routledge

Published: 2010-01-21

Total Pages: 369

ISBN-13: 1135188394

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Presents an illustrated case for the importance of dialogue and its role in developing non-passive interactive learning.


Learning Potential Assessment

Learning Potential Assessment

Author: J.H.M. Hamers

Publisher: CRC Press

Published: 1992-12-31

Total Pages: 394

ISBN-13: 9789026512384

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Learning potential assessment, which has lately been receiving a great deal of attention, consists of test procedures for measuring children's learning potential procedures that be regarded as an extension of current intelligence testing. The 17 chapters included in this volume are based on papers p


Investigating Mathematics Teaching

Investigating Mathematics Teaching

Author: Barbara Jaworski

Publisher: Routledge

Published: 2002-11-01

Total Pages: 254

ISBN-13: 1135716110

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Barbara Jaworski addresses a number of questions that are central to research on reform in mathematics education today. In this volume she attempts to chart critically yet honestly her own developing ideas as she undertakes a several-year-long enquiry into mathematics teaching and gives a very personal account of her developing conceptions, conjectures, thoughts and reflections. The author accounts for her research both genetically and biographically, simultaneously restructuring the development of her ideas and giving a rigorous, critical and reflective account.


Early Fraction Learning

Early Fraction Learning

Author: Robert P. Hunting

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 300

ISBN-13: 1461231949

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Early Fraction learning is centrally of interest to students and researchersin mathematics education, tackling as it does one of that discipline's most vexing problems: why are fractions so difficult to learn and to teach?