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Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education. This development is a welcome one for those interested in the topic, but also poses a challenge, especially to teachers and new scholars. It has become more and more difficult to get an overview of the field and to identify the key concepts used in research on proof and proving. This book is intended to help teachers, researchers and graduate students to overcome the difficulty of getting an overview of research on proof and proving. It reviews the key findings and concepts in research on proof and proving, and embeds them in a contextual frame that allows the reader to make sense of the sometimes contradictory statements found in the literature. It also provides examples from current research that explore how larger patterns in reasoning and argumentation provide insight into teaching and learning. ... Read more

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This inaugural book in the new series Advances in Mathematics Education is the most up to date, comprehensive and avant garde treatment of Theories of Mathematics Education which use two highly acclaimed ZDM special issues on theories of mathematics education (issue 6/2005 and issue 1/2006), as a point of departure. Historically grounded in the Theories of Mathematics Education (TME group) revived by the book editors at the 29th Annual PME meeting in Melbourne and using the unique style of preface-chapter-commentary, this volume consist of contributions from leading thinkers in mathematics education who have worked on theory building.

This book is as much summative and synthetic as well as forward-looking by highlighting theories from psychology, philosophy and social sciences that continue to influence theory building. In addition a significant portion of the book includes newer developments in areas within mathematics education such as complexity theory, neurosciences, modeling, critical theory, feminist theory, social justice theory and networking theories. The 19 parts, 17 prefaces and 23 commentaries synergize the efforts of over 50 contributing authors scattered across the globe that are active in the ongoing work on theory development in mathematics education.

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Important book for math ed researchers
This is an important book for mathematics education researchers.There are already, or are going to be, several lengthy reviews in various mathematics education research journals, e.g., Mathematical Thinking and Learning. ... Read more

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This collection of articles, which have had a major influence on recent research and together provide a recent historical perspective, focuses on themes surrounding evolving conceptions of learning and teaching. In the last three decades, research in mathematics education has undergone dramatic changes. The articles selected for this volume offer perspectives on the development of these themes, some of which include the process-product paradigm, gender and mathematics, problem solving, students' thinking, and the role of cultural practices in the acquisition of mathematical concepts and procedures. ... Read more

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in excellent condition
I did not have a chance to read the book, but it was in a very good condition, wrapped, fast delivery... ... Read more

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This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.

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This volume is a compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation, 30 years ago. It has been written to become an essential reference for Mathematics Education research in the coming years.The chapters offer summaries and synthesis of the research produced by the PME Group, presented to let the readers grasp the evolution of paradigms, questions, methodologies and most relevant research results during the last 30 years. They also include extensive lists of references. Beyond this, the chapters raise the main current research questions and suggest directions for future research.The handbook is divided into five sections devoted to the main research domains of interest to the PME Group. 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. Finally, the fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.The volume is the result of the effort of 30 authors and 26 reviewers. Most of them are recognized leading PME researchers with great expertise on the topic of their chapter.This handbook shall be of interest to both experienced researchers and doctoral students needing detailed synthesis of the advances and future directions of research in Mathematics Education, and also to mathematics teacher trainers who need to have a comprehensive reference as background for their courses on Mathematics Education. ... Read more

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A "Must-Have" for Researchers!!
This handbook provides a comprehensive overview of the research presented at PME conferences over the years. I liked the comparisons made between presentations with similar topics, and it provides an effective means of finding references for several related research articles in one place. I also liked the idea of dividng presentations according to topic, as well as the chronological aspect of the discussions. It allows one to see how ideas have developed over time, and whether interest in a particular topic is growing or waning. This is a valuable resource for all those involved in areas of mathematics education research. ... Read more

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Raises two important and related issues: the changing social aspects of math and the quality of math schemes and textbooks. Math is no longer a subject studies by intellectuals but has become a subject for study by all children aged 5 to 16 years. The continuing failure of many children in this subject is cause for concern. Dowling critically examines textbooks, and the part they play in children's learning. He clearly shows the reader how to analyze and evaluate textbooks they are currently using. This interrogation of classroom resources has important implications for teaching strategies and for textbook design and use. ... Read more

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What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed – theoretical and practical – and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge.

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Mathematics teaching and learning have been dominated by aconcern for the intellectual readiness of the child, debates over rotelearning versus understanding and, recently, mathematical processesand thinking. The gaze into today's mathematics classroom is firmlyfocused on the individual learner. Recently, however, studies ofmathematics in social practices, including the market place and thehome, have initiated a shift of focus. Culture has become identifiedas a key to understanding the basis on which the learner appropriatesmeaning. The chapters in this timely book attempt to engage with thisshift of focus and offer original contributions to the debate aboutmathematics teaching and learning. They adopt theoretical perspectiveswhile drawing on the classroom as both the source of investigation andthe site of potential change and development. The book will be offundamental interest to lecturers and researchers and to teachersconcerned with the classroom as a cultural phenomenon.
... Read more

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This book paints an alternative and contemporary portrait of psychology within mathematics education, drawing on psychoanalytic practices and theory. Mathematics education is still a fairly new social science that began as an adjunct to the practice of mathematics in schools some forty years ago, defined by a marriage with cognitive psychology. As a consequence school mathematics has often been seen as a scientific enterprise centred on the operation of individual minds confronting mathematical ideas. Meanwhile, psychoanalysis had earlier come into existence through the work of Sigmund Freud. And for much of his life Freud had similarly seen his work as scientific, a view that later fuelled mainstream practices in psychology. Yet Freud's engagement with his patients combined with his literary capabilities produced surprising results defining humans in ways that transcended mere scientific assessment. Rather his accounts of humans weaved a rich social tapestry in which individuals were understood relationally to those who shared their world. And through re-telling the story lines of their lives individuals were able to create alternative futures. This dimension of Freud's work provoked an alternative tradition, best exemplified in the work of Lacan, in which narrative-based understandings linking humans to the social world replaced cognitive models centred on controlling individuals through particular understandings of normality. Through its eleven chapters this book provides accounts of how children, teachers, researchers and mathematical learning can be understood differently, towards emphasising how they are each consequential to the many ways in which the world can be created and described. ... Read more

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This comprehensive book is a state-of-the-art review of research and practices of mathematics education in Singapore. It traces the fascinating journey from the original development of the Singapore mathematics curriculum in the 1950s to the present day, and reports on diverse findings about the Singapore experience that are not readily available in print. All of the authors are active mathematics educators or senior mathematics teachers in Singapore, thus adding authenticity and distinctiveness to the stories covered in this book. The issues they so earnestly explore in this book will undoubtedly be of interest to graduate students, mathematics educators, and the international mathematics education community. ... Read more

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At a time of rapid demographic change and amidst the many educational challenges facing the US, this critical new collection presents mathematics education from a culturally responsive perspective. It tackles the most crucial issues of teaching mathematics to an ethnically diverse school population, including the political dimension of mathematics education within the context of governmental efforts to improve achievement in school mathematics. Culturally Responsive Mathematics Education moves beyond a point of view that is internal to mathematics education as a discipline, and instead offers a broad perspective of mathematics as a significant, liberating intellectual force in our society. The editors of this volume bring together contributions from many of the leading teachers, teacher educators, researchers, scholars, and activists who have been working to reorient mathematics education in ways that reflect mathematics education as accomplished, first and foremost, through human interactions.

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The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community’s ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte’s thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future.

This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent mathematics – depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.

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A volume in Research in Mathematics EducationSeries Editor Barbara J. Dougherty, University of MississippiThis volume contains the proceedings of the First International Curriculum Conference sponsored by theCenter for the Study of Mathematics Curriculum (CSMC). The CSMC is one of the National Science FoundationCenters for Learning and Teaching (Award No. ESI-0333879).The countries-China, Japan, Korea, and Singapore (in alphabetical order, which also happens to be theorder of their populations)-have each been in the news because of their performance on international testsand/or their economic performance and potential. They also have centralized education ministries that createa single mathematics curriculum framework followed in the entire country. ... Read more

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The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that:
* have been pioneered recently by mathematics and science educators;
* have distinctive characteristics when they are used in projects that focus on mathematics and science education; and
* have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction.

The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research.

The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad.

A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/

This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.
... Read more

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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.

Customer Reviews (25)

Great Look at elementary Math
Just more evidence that our preservice elementary school teacher need more exposure to elementary math. Teachers to be need better courses designed to develop a deep conceptual understanding of number basics. Exposure to basic number theory, set theory, and logic puzzles similar to problems found in MOEMS might spark more interest in these teachers, and they might find the subject enjoyable.

China vs US
This book compares Chinese math teachers to US math teachers. Many of the US teachers seem incompetent. This is required reading for a math training I am taking and the teachers in my class are much more competent than this book portrays. The book also does not take into account that in the US "ALL" students are educated in the same schools for K-12.

Knowing and teaching math
The condition of the book was very good and the shipment was in the appropriate time.Thank you.

Excellent
As a resource teacher having taught middle school, it is shocking to find so many middle school students who cannot add or subtract fractions, or correctly solve other forms ofbasic math. These students are like"swiss cheese learners." They have so many holes in their mathematical knowledge base. They can't succeed.These students provoke questions, such as, why are so many students unable to transfer from basic algorhythmic thinking to algebraic concepts?What are our elementary school teachers doing wrong? By middle school, most students should be successful at solving basic mathematics. The answers to these questions were found in this book--a book every teacher, principal, and board of educationMUST read.

SFT
The book arrived within 7 business days of ordering it. It was in very good condition! I would def. order from them again! ... Read more

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This volume offers a unique set of research exemplars for science, mathematics and technology educators. The volume explores the important challenge of how to translate leading-edge methodologies into practical research strategies and techniques. The book is divided into three major sections, The Golden Age of Research, Meeting the Research Crises and A New Era of Research, with chapters exploring a variety of methodologies and representational forms and texts. These include historical, narrative, literary, phenomenological, autobiographical, virtual and performance texts, among others.

Qualitative Research in Postmodern Times is an exciting and accessible book that will be essential reading for science, mathematics and technology educators interested in new forms of educational research. Beginning researchers will find it practically helpful in planning and conducting their research studies, while experienced researchers will welcome new theoretical insights into postmodern methodologies.

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The Second International Handbook of MathematicsEducation is an essential resource for students, researchers, teachereducators and curriculum policy makers in the field of mathematicseducation. It is a follow-up to the first Handbook, which laid downthe base-line in many areas of the field of mathematics education. Thefirst Handbook was published in 1996, covering research done prior to1994.

This Second Handbook:

covers the changes and developments that have occurred in the field since 1994;
has a section focusing on public policy and mathematics education;
is an essential reference to all those who shape educational policy. ... Read more

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Currently there is a great deal of interest in philosophical issues in the teaching and learning of both mathematics and science education. In this book Ernest has collected together papers from the foremost researchers and practitioners in the philosophy of mathematics education and related areas, together with a selection of papers from the International Congress of Mathematics Education held in Quebec in 1992. Throughout, the outstanding feature of the collection is its multidisciplinary approach to the field of study. This book is the second in Paul Ernest's "Studies in Mathematics Education" series. ... Read more

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The twenty chapters in this book all focus on aspects ofmathematical beliefs, from a variety of different perspectives.Current knowledge of the field is synthesized and existing boundariesare extended. The book is divided into three, partly overlapping, sections. Thefirst concentrates on conceptualizations and measurement of beliefs,the second on research about teachers' beliefs, and the third onfacets of students' beliefs about mathematics. A diversity ofinstruments is used for data collection, including surveys,interviews, observations, and essay writing, as well as moreinnovative approaches. The volume is intended for researchers in the fleld, as well as formathematics educators teaching the next generation of students. Thebook is also useful for those working in other subject disciplines,since many of the themes explored have relevance well beyondmathematics education. ... Read more

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Beliefs: A Hidden Variable
This product arrived in a very timely manner and was in excellent condition.I am very satisfied with both the service and the product. ... Read more

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This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.