Mathematics Education

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Developing Research in Mathematics Education

Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Developing Research in Mathematics Education Book PDF

Author : Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Publisher : Routledge
Page : 22 pages
File Size : 54,8 Mb
Release : 2018-04-27
Category : Education
ISBN : 9781351625401

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Developing Research in Mathematics Education by Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven Pdf

Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Latinos/as and Mathematics Education

Kip Téllez,Judit N. Moschkovich,Marta Civil
Latinos as and Mathematics Education Book PDF

Author : Kip Téllez,Judit N. Moschkovich,Marta Civil
Publisher : IAP
Page : 363 pages
File Size : 51,6 Mb
Release : 2011-05-01
Category : Education
ISBN : 9781617354229

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Latinos/as and Mathematics Education by Kip Téllez,Judit N. Moschkovich,Marta Civil Pdf

This book that explores the mathematics education of Latinos/as in 13 original research studies. Each chapter represents research that grounds mathematics instruction for Latinos/as in the resources to be found in culture and language. By inverting the deficit perspective, this volume redresses the shortcomings found in the previous literature on Latino/a learners. Each study frames language (e.g. bilingualism) not as an obstacle to learning, but as a resource for mathematical reasoning. Other chapters explore the notion of cultural variation not as a liability but as a tool for educators to build upon in the teaching of mathematics. Specifically, the book reframes culture as a focus on the practices, objects, inscriptions, or people that connect mathematical concepts to student thinking and experiences, both in and out of school. The book's four sections divide the research: The first section of the book focuses on mathematic learning in classrooms, specifically exploring bilingual, Latino/a students; the second section explores Latino/a learners in communities, including the role parents can play in advancing learning; the third section includes chapters focused on teacher professional growth; the final section concerns the assessment (and mis-assessment) of Latino/a learners. The research shared in this volume provides ample evidence that mathematics educators who choose to ignore language or culture in their pedagogy risk shortchanging their Latino/a students.

Affect and Mathematics Education

Markku S. Hannula,Gilah C. Leder,Francesca Morselli,Maike Vollstedt,Qiaoping Zhang
Affect and Mathematics Education Book PDF

Author : Markku S. Hannula,Gilah C. Leder,Francesca Morselli,Maike Vollstedt,Qiaoping Zhang
Publisher : Springer
Page : 437 pages
File Size : 47,5 Mb
Release : 2019-06-03
Category : Education
ISBN : 9783030137618

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Affect and Mathematics Education by Markku S. Hannula,Gilah C. Leder,Francesca Morselli,Maike Vollstedt,Qiaoping Zhang Pdf

This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.

The 'Resource' Approach to Mathematics Education

Luc Trouche,Ghislaine Gueudet,Birgit Pepin
The Resource Approach to Mathematics Education Book PDF

Author : Luc Trouche,Ghislaine Gueudet,Birgit Pepin
Publisher : Springer Nature
Page : 564 pages
File Size : 43,7 Mb
Release : 2019-11-29
Category : Education
ISBN : 9783030203931

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The 'Resource' Approach to Mathematics Education by Luc Trouche,Ghislaine Gueudet,Birgit Pepin Pdf

This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers’ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers’ work through their interactions with resources for teaching, held in Lyon, France.

Care in Mathematics Education

Anne Watson
Care in Mathematics Education Book PDF

Author : Anne Watson
Publisher : Springer Nature
Page : 212 pages
File Size : 52,5 Mb
Release : 2021-02-13
Category : Education
ISBN : 9783030641146

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Care in Mathematics Education by Anne Watson Pdf

This book investigates the process of care in mathematics teaching. The author proposes transformative educational spaces in which learning mathematics, rather than consisting of a repetitive grind of exercises and facts, can become a part of learner identity. This book describes examples of mathematics teachings in a wide range of contexts and pedagogies, coordinated to identify common features where care for mathematical learning and thinking is combined with care for learners. Along with detailing caring mathematics education practices in alternative spaces, the author demonstrates similar practices alive even with the current mainstream spaces of acquisition and performance. Care is integrated through listening, and developing responsive and trusting relationships. It will be of interest to scholars of mathematics education, as well as pre-service and in-service teachers and teacher educators.

Focus on Mathematics Education Research

Keith Patterson
Focus on Mathematics Education Research Book PDF

Author : Keith Patterson
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 43,6 Mb
Release : 2017
Category : Mathematics
ISBN : 1536118265

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Focus on Mathematics Education Research by Keith Patterson Pdf

Lecturing quality and professional development for lecturers has received growing attention within international undergraduate mathematics forums. The use of videos to inform teacher-practice has been common in research and in pre-service teacher education for many years. However, more recent interest has focused on how videos may be used for professional development of teachers, as separate from the more common research focus. It is indisputable that the verification of the gained knowledge constitutes a significant part of educational process. It not only provides the pupils and their parents with important information on the level of gained capabilities, but it is also a form of control for a teacher who can on the basis of them assess the efficiency of the methods used in the teaching process. Early mathematics education is foundational and attention to quality early math education is vital to ensure students succeed in schools. This book also looks at an innovative approach designed for mathematics in chemistry degree courses, which takes advantage of the Laplace Transform versatility. Strong content knowledge not only allows mathematics teachers to recognize students misconceptions, but it also enables them to direct students to a deeper understanding of the concepts involved. There is empirical evidence to indicate that mathematics teachers who possess deep content knowledge in the subject area tend to have greater repertoire of effective instructional strategies. Since the late eighties, research on the history of mathematics education in Spain has experienced an increase. The increase of calls for research projects both at national and regional level, has contributed to the creation of research groups and it has injected economic resources to research in this field.

A Mathematician's Lament

Paul Lockhart
A Mathematician s Lament Book PDF

Author : Paul Lockhart
Publisher : Bellevue Literary Press
Page : 144 pages
File Size : 46,9 Mb
Release : 2009-04-01
Category : Mathematics
ISBN : 9781934137338

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A Mathematician's Lament by Paul Lockhart Pdf

“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever. Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.

Critical Mathematics Education

Paul Ernest,Bharath Sriraman,Nuala Ernest
Critical Mathematics Education Book PDF

Author : Paul Ernest,Bharath Sriraman,Nuala Ernest
Publisher : IAP
Page : 357 pages
File Size : 50,5 Mb
Release : 2016-01-01
Category : Education
ISBN : 9781681232614

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Critical Mathematics Education by Paul Ernest,Bharath Sriraman,Nuala Ernest Pdf

Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.

Critical Issues in Mathematics Education

Bharath Sriraman,Paul Ernest,Brian Greer
Critical Issues in Mathematics Education Book PDF

Author : Bharath Sriraman,Paul Ernest,Brian Greer
Publisher : IAP
Page : 503 pages
File Size : 43,7 Mb
Release : 2009-06-01
Category : Mathematics
ISBN : 9781607522188

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Critical Issues in Mathematics Education by Bharath Sriraman,Paul Ernest,Brian Greer Pdf

The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.

Mathematics Education for a New Era

Keith Devlin
Mathematics Education for a New Era Book PDF

Author : Keith Devlin
Publisher : CRC Press
Page : 218 pages
File Size : 55,8 Mb
Release : 2011-02-25
Category : Computers
ISBN : 9781439867716

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Mathematics Education for a New Era by Keith Devlin Pdf

Stanford mathematician and NPR Math Guy Keith Devlin explains why, fun aside, video games are the ideal medium to teach middle-school math. Aimed primarily at teachers and education researchers, but also of interest to game developers who want to produce videogames for mathematics education, Mathematics Education for a New Era: Video Games as a Medium for Learning describes exactly what is involved in designing and producing successful math educational videogames that foster the innovative mathematical thinking skills necessary for success in a global economy. Read the author's monthly MAA column Devlin's Angle

Research and Development in University Mathematics Education

Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw
Research and Development in University Mathematics Education Book PDF

Author : Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw
Publisher : Routledge
Page : 283 pages
File Size : 49,9 Mb
Release : 2021-04-15
Category : Education
ISBN : 9781000369243

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Research and Development in University Mathematics Education by Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw Pdf

In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Mathematics Education

Jacqueline Dewar,Pao-sheng Hsu,Harriet Pollatsek
Mathematics Education Book PDF

Author : Jacqueline Dewar,Pao-sheng Hsu,Harriet Pollatsek
Publisher : Springer
Page : 391 pages
File Size : 53,7 Mb
Release : 2016-11-26
Category : Mathematics
ISBN : 9783319449500

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Mathematics Education by Jacqueline Dewar,Pao-sheng Hsu,Harriet Pollatsek Pdf

Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its value in the mathematical community. The writing is expository, not technical, and should be accessible and informative to a diverse audience. The primary readership includes all those in departments of mathematical sciences in two or four year colleges and universities, and their administrators, as well as graduate students. Researchers in education may also find topics of interest. Other potential readers include those doing work in mathematics education in schools of education, and teachers of secondary or middle school mathematics as well as those involved in their professional development.

Mathematics, Education, and Other Endangered Species

Shlomo Vinner
Mathematics Education and Other Endangered Species Book PDF

Author : Shlomo Vinner
Publisher : Springer
Page : 141 pages
File Size : 55,5 Mb
Release : 2019-04-26
Category : Mathematics
ISBN : 9783319900353

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Mathematics, Education, and Other Endangered Species by Shlomo Vinner Pdf

This book examines the critical roles and effects of mathematics education. The exposition draws from the author’s forty-year mathematics career, integrating his research in the psychology of mathematical thinking into an overview of the true definition of math. The intention for the reader is to undergo a “corrective” experience, obtaining a clear message on how mathematical thinking tools can help all people cope with everyday life. For those who have struggled with math in the past, the book also aims to clarify that math learning difficulties are likely a result of improper pedagogy as opposed to any lack of intelligence on the part of the student. This personal treatise will be of interest to a variety of readers, from mathematics teachers and those who train them to those with an interest in education but who may lack a solid math background.

Knowing and Teaching Elementary Mathematics

Liping Ma
Knowing and Teaching Elementary Mathematics Book PDF

Author : Liping Ma
Publisher : Routledge
Page : 329 pages
File Size : 41,8 Mb
Release : 2010-03-26
Category : Education
ISBN : 9781135149499

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Knowing and Teaching Elementary Mathematics by Liping Ma Pdf

Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

The Sociology of Mathematics Education

Paul Dowling
The Sociology of Mathematics Education Book PDF

Author : Paul Dowling
Publisher : Routledge
Page : 360 pages
File Size : 47,6 Mb
Release : 2002-11-01
Category : Education
ISBN : 9781135710026

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The Sociology of Mathematics Education by Paul Dowling Pdf

Until the 1960s, maths was studied as an academic subject in a desire to have more mathematicians. The current trend, however, has moved away from viewing maths as a purely intellectual endeavour and towards developing a more mathematically competent workforce and citizenry. This trend has seen a large increase in the number of maths schemes being produced by the major educational publishers, which attempt to make maths easier and more approachable by using language instead of symbols. So why do so many children still fail at maths? The author contends that to understand this, teachers need to analyze and evaluate the maths textbooks they are currently using. The author shows the reader how to systematically analyze and evaluate these textbooks. This interrogation of classroom resources, should have important implications for teaching strategies and for textbook design and use.