Download or read book Compendium for Research in Mathematics Education written by Jinfa Cai and published by National Council of Teachers of English. This book was released on 2017 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five sections that address research about (1) foundations, (2) methods, (3) mathematical processes and content, (4) students, teachers, and learning environments, and (5) futuristic issues. Each chapter offers a synthesis of research with an eye to the historical development of a research topic and, in particular, historical milestones of the research about the topic.

Download or read book Perspectives on Mathematics written by Dennis Almeida and published by . This book was released on 1995 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Real Research written by Liahna Gordon and published by SAGE Publications. This book was released on 2015-02-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Research: Research Methods Sociology Students Can Use by Liahna Gordon is an innovative text that takes a holistic approach to the subject by discussing each step in the research process within the context of a particular method. After an opening chapter that surveys different methods of data collection and the components of research, students proceed immediately to chapters on specific methods. Each of these chapters begins with a description of the method and the logic that underlies it, so that students can see how each step in the research process fits within the logic of that particular method. The chapters then go on to present all of the steps of research as they relate to that particular research method, from writing research questions through analysis. With this format, instructors can begin engaging students in hands-on exercises almost immediately, increasing interest in and comprehension of the material.

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Math Problems Notebook written by Valentin Boju and published by Springer Science & Business Media. This book was released on 2007-08-22 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis. The problems start as simple exercises and become more difficult as the reader progresses through the book to become challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques and intuition as well as promote further research in the area. Solutions are included for each problem.

Download or read book Theories of Mathematical Learning written by Leslie P. Steffe and published by Routledge. This book was released on 2013-04-03 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mathematical Analysis written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2012-08-31 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.

Download or read book Research Methods written by Carrie A. Picardi and published by SAGE Publications. This book was released on 2013-10-09 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research Methods: Designing and Conducting Research with a Real-World Focus provides the tools required to conduct relevant, high-quality research in both the classroom and the field. Carrie A. Picardi and Kevin D. Masick—psychologists with expertise in both teaching research methods and applying methods to diverse field settings—offer a unique perspective by integrating current research articles with field-specific scenarios. They draw from research methodology tactics, strategy, and constraints from practitioners across the social sciences and in business. This text effectively bridges the gap between theory and practice by demonstrating how research is done within an organizational setting, and supplies students with relevant, applicable examples to learn from.

Download or read book Mathematical Illustrations written by Bill Casselman and published by Cambridge University Press. This book was released on 2005-01-24 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical introduction to the techniques needed to produce mathematical illustrations of high quality is suitable for anyone with a modest acquaintance with coordinate geometry. The author combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with advice on what goes into good mathematical illustrations, chapters showing how good graphics can be used to explain mathematics, and a treatment of all the mathematics needed to make such illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Code for many of the illustrations is included, and can be downloaded from the book's web site: www.math.ubc.ca/~cass/graphics/manualMathematicians; scientists, engineers, and even graphic designers seeking help in creating technical illustrations need look no further.

Download or read book The Origins of Mathematical Knowledge in Childhood written by Catherine Sophian and published by Routledge. This book was released on 2017-09-25 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.

Download or read book Mathematical Olympiad Challenges written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems. Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.

Download or read book Notions of Convexity written by Lars Hörmander and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively. This gives a background for the study in the following chapters of related notions which occur in the theory of linear partial differential equations and complex analysis such as (pluri-)subharmonic functions, pseudoconvex sets, and sets which are convex for supports or singular supports with respect to a differential operator. In addition, the convexity conditions which are relevant for local or global existence of holomorphic differential equations are discussed.

Download or read book Transforming the Culture of Schools written by Jerry Lipka and published by Routledge. This book was released on 2014-01-21 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book speaks directly to issues of equity and school transformation, and shows how one indigenous minority teachers' group engaged in a process of transforming schooling in their community. Documented in one small locale far-removed from mainstream America, the personal narratives by Yupík Eskimo teachers address the very heart of school reform. The teachers' struggles portray the first in a series of steps through which a group of Yupík teachers and university colleagues began a slow process of reconciling cultural differences and conflict between the culture of the school and the culture of the community. The story told in this book goes well beyond documenting individual narratives, by providing examples and insights for others who are involved in creating culturally responsive education that fundamentally changes the role and relationship of teachers and community to schooling.

Download or read book Braids Links and Mapping Class Groups written by Joan S. Birman and published by Princeton University Press. This book was released on 1974 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology. In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points in a manifold. She studies structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations for the braid groups of the plane and sphere. In Chapter 2 she focuses on the connections between the classical braid group and the classical knot problem. After reviewing basic results she proceeds to an exploration of some possible implications of the Garside and Markov theorems. Chapter 3 offers discussion of matrix representations of the free group and of subgroups of the automorphism group of the free group. These ideas come to a focus in the difficult open question of whether Burau's matrix representation of the braid group is faithful. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter 5 contains a brief discussion of the theory of "plats." Research problems are included in an appendix.

Download or read book Tata Lectures on Theta III written by David Mumford and published by Springer Science & Business Media. This book was released on 2010-10-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the third of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).

Download or read book The Teaching of Fractions written by Edward Wildeman and published by . This book was released on 1923 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tata Lectures on Theta I written by David Mumford and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).