Download or read book The New Zealand Mathematics Magazine written by and published by . This book was released on 1992 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics Education and the Legacy of Zoltan Paul Dienes written by Bharath Sriraman and published by IAP. This book was released on 2008-03-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name of Zoltan P. Dienes (1916-) stands with those of Jean Piaget and Jerome Bruner as a legendary figure whose theories of learning have left a lasting impression on the field of mathematics education. Dienes' name is synonymous with the Multi-base blocks (also known as Dienes blocks) which he invented for the teaching of place value. He also is the inventor of Algebraic materials and logic blocks, which sowed the seeds of contemporary uses of manipulative materials in mathematics instruction. Dienes' place is unique in the field of mathematics education because of his theories on how mathematical structures can be taught from the early grades onwards using multiple embodiments through manipulatives, games, stories and dance. Dienes' notion of embodied knowledge presaged other cognitive scientists who eventually came to recognize the importance of embodied knowledge and situated cognition - where knowledge and abilities are organized around experience as much as they are organized around abstractions. Dienes was an early pioneer in what was later to be called sociocultural perspectives and democratization of learning. This monograph compiled and edited by Bharath Sriraman honors the seminal contributions of Dienes to mathematics education and includes several recent unpublished articles written by Dienes himself. These articles exemplify his principles of guided discovery learning and reveal the non-trivial mathematical structures that can be made accessible to any student. The monograph also includes a rare interview with Dienes in which he reflects on his life, his work, the role of context, language and technology in mathematics teaching and learning today. The book finds an important place in any mathematics education library and is vital reading for mathematics education researchers, cognitive scientists, prospective teachers, graduate students and teachers of mathematics.
Download or read book Mathematics Magazine written by and published by . This book was released on 1987 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ethnomathematics and its Diverse Approaches for Mathematics Education written by Milton Rosa and published by Springer. This book was released on 2017-07-25 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses numerous issues related to ethnomathematics and diverse approaches to it in the context of mathematics education. To help readers better understand the development of ethnomathematics, it discusses its objectives and assumptions with regard to promoting an ethics of respect, solidarity, and cooperation across and for all cultures. In turn, the book addresses a range of aspects including pedagogical action, culturally relevant pedagogy, innovative approaches to ethnomathematics, and the role of ethnomathematics in mathematics education. Ethnomathematics offers educators a valuable framework for transforming mathematics so that it can more actively contribute to realizing the dream of a just and humane society. As such, its primary goal is to forge mathematics into a powerful tool to help people create a society characterized by dignity for all, and in which iniquity, arrogance, violence, and bigotry have no place.
Download or read book Mathematics Across Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
Download or read book Ethnomathematics written by Arthur B. Powell and published by SUNY Press. This book was released on 1997-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.
Download or read book New Zealand Journal of Mathematics written by and published by . This book was released on 1992 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Counterexamples in Calculus written by Sergiy Klymchuk and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus.
Download or read book The SimCalc Vision and Contributions written by Stephen J. Hegedus and published by Springer Science & Business Media. This book was released on 2012-12-16 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides essential guidance for transforming mathematics learning in schools through the use of innovative technology, pedagogy, and curriculum. It presents clear, rigorous evidence of the impact technology can have in improving students learning of important yet complex mathematical concepts -- and goes beyond a focus on technology alone to clearly explain how teacher professional development, pedagogy, curriculum, and student participation and identity each play an essential role in transforming mathematics classrooms with technology. Further, evidence of effectiveness is complemented by insightful case studies of how key factors lead to enhancing learning, including the contributions of design research, classroom discourse, and meaningful assessment. The volume organizes over 15 years of sustained research by multiple investigators in different states and countries who together developed an approach called "SimCalc" that radically transforms how Algebra and Calculus are taught. The SimCalc program engages students around simulated motions, such as races on a soccer field, and builds understanding using visual representations such as graphs, and familiar representations such as stories to help students to develop meaning for more abstract mathematical symbols. Further, the SimCalc program leverages classroom wireless networks to increase participation by all students in doing, talking about, and reflecting on mathematics. Unlike many technology programs, SimCalc research shows the benefits of balanced attention to curriculum, pedagogy, teacher professional development, assessment and technology -- and has proven effectiveness results at the scale of hundreds of schools and classrooms. Combining the findings of multiple investigators in one accessible volume reveals the depth and breadth of the research program, and engages readers interested in: * Engaging students in deeply learning the important concepts in mathematics * Designing innovative curriculum, software, and professional development · Effective uses of technology to improve mathematics education * Creating integrated systems of teaching that transform mathematics classrooms * Scaling up new pedagogies to hundreds of schools and classrooms * Conducting research that really matters for the future of mathematics learning * Engaging students in deeply learning the important concepts in mathematics * Designing innovative curriculum, software, and professional development · Effective uses of technology to improve mathematics education * Creating integrated systems of teaching that transform mathematics classrooms * Scaling up new pedagogies to hundreds of schools and classrooms * Conducting research that really matters for the future of mathematics learning
Download or read book Towards Gender Equity in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE REAL WORLD OF MATHEMATICS, SCIENCE, AND TECHNOLOGY EDUCATION In this Preface, I would like to focus on what I mean by “education” and speak about the models and metaphors that are used when people talk, write, and act in the domain of education. We need to look at the assu- tions and processes that the models and metaphors implicitly and explicitly contain. I feel we should explore whether there is a specific thrust to mat- matics education in the here and now, and be very practical about it. For me education is the enhancement of knowledge and understanding, and there is a strong and unbreakable link between the two. There seems l- tle point in acquiring knowledge without understanding its meaning. Nor is it enough to gain a deep understanding of problems without gaining the appropriate knowledge to work for their solution. Thus knowledge and understanding are each necessary conditions for the process of education, but only when they are linked will the process bear fruit. Only in the b- anced interplay of knowledge and understanding can we expect to achieve genuine education.
Download or read book The Geometric Vein written by C. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry.
Download or read book Volume 2 Cases and Perspectives written by M. Kathleen Heid and published by IAP. This book was released on 2008-07-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Published in Co-operation with the National Council of Teacher of Mathematics) According to NCTM's Principles and Standards for School Mathematics, "Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students' learning." How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The second volume has a dual focus: cases and perspectives. It features descriptive cases that provide accounts of the development of technology-intensive curriculum and tools. In these cases the writers describe and analyze various roles that research played in their development work and ways in which research, curriculum development, and tool development can inform each other. These thoughtful descriptions and analyses provide documentation of how this process can and does occur. The remaining chapters in the second volume address research related issues and perspectives on the use of technology in the teaching and learning of mathematics. The lessons learned from the research presented in these volumes are lessons about teaching and learning that can be applied more broadly than solely in technological settings.
Download or read book Using Counter examples In Calculus written by John H Mason and published by Imperial College Press. This book was released on 2009-05-25 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes accessible to calculus students in high school, college and university a range of counter-examples to “conjectures” that many students erroneously make. In addition, it urges readers to construct their own examples by tinkering with the ones shown here in order to enrich the example spaces to which they have access, and to deepen their appreciation of conspectus and conditions applying to theorems./a
Download or read book Index to Mathematical Problems 1980 1984 written by Stanley Rabinowitz and published by MathPro Press. This book was released on 1992 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compendium of over 5,000 problems with subject, keyword, author and citation indexes.
Download or read book The Blackwell Handbook of Early Childhood Development written by Kathleen McCartney and published by John Wiley & Sons. This book was released on 2011-09-07 with total page 953 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Blackwell Handbook of Early Childhood Development presents a comprehensive summary of research into child development from age two to seven. Comprises 30 contributions from both established scholars and emerging leaders in the field The editors have a distinguished reputation in early childhood development Covers biological development, cognitive development, language development, and social, emotional and regulatory development Considers the applications of psychology to the care and education of young children, treating issues such as poverty, media, and the transition to school A valuable resource for students, scholars and practitioners dealing with young children
Download or read book Universal Algebra and Lattice Theory written by R.S. Freese and published by Springer. This book was released on 2006-11-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Child Development and Early Education written by Oscar A. Barbarin and published by Guilford Press. This book was released on 2011-06-23 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: How and what should young children be taught? What emphasis should be given to emotional learning? How do we involve families? Addressing these and other critical questions, this authoritative volume brings together developmentalists and early educators to discuss what an integrated, developmentally appropriate curriculum might look like across the preschool and early elementary years. State-of-the-science work is presented on brain development and the emergence of cognitive, socioemotional, language, and literacy skills in 3- to 8-year-olds. Drawing on experience in real-world classrooms, contributors describe novel, practical approaches to promoting school readiness, tailoring instruction to children’s learning needs, and improving the teaching of language arts, math, and science.
