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Symbols And Meanings In School Mathematics
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Book Synopsis Symbols and Meanings in School Mathematics by : David Pimm
Download or read book Symbols and Meanings in School Mathematics written by David Pimm and published by Routledge. This book was released on 2002-11-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbols and Meanings in School Mathematics explores the various uses and aspects of symbols in school mathematics and also examines the notion of mathematical meaning. It is concerned with the power of language which enables us to do mathematics, giving us the ability to name and rename, to transform names and to use names and descriptions to conjure, communicate and control our images. It is in the interplay between language, image and object that mathematics is created and can be communicated to others. The book also addresses a set of questions of particular relevance to the last decade of the twentieth century, which arise due to the proliferation of machines offering mathematical functioning.
Book Synopsis Symbols and Meanings in School Mathematics by : David Pimm
Download or read book Symbols and Meanings in School Mathematics written by David Pimm and published by Routledge. This book was released on 2002-11 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book explores the various uses and aspects of symbols in school mathematics and the notion of mathematical meaning. In addition, the author addresses a number of key issues for the 1990s eg.changes within mathematical functioning.
Download or read book Mathematics written by David Pimm and published by . This book was released on 1992 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Development of the Meanings of Certain Terms and Symbols in Junior High School Mathematics by : Jane Margaret Hill
Download or read book The Development of the Meanings of Certain Terms and Symbols in Junior High School Mathematics written by Jane Margaret Hill and published by . This book was released on 1948 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discovering Meanings in Elementary School Mathematics by : Foster Earl Grossnickle
Download or read book Discovering Meanings in Elementary School Mathematics written by Foster Earl Grossnickle and published by . This book was released on 1968 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Engaging in Mathematics in the Classroom by : Alf Coles
Download or read book Engaging in Mathematics in the Classroom written by Alf Coles and published by Routledge. This book was released on 2015-07-30 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: What comes first, class management or student engagement? How can the ‘real world’ be used to engage learners? What is the role of technology in engaging students? And is ‘understanding’ or ‘exam success’ more engaging? In the modern world, success in school mathematics can determine life chances. It is therefore vital to engage children and young people in learning mathematics. Engaging in Mathematics in the Classroom brings together the debates concerning mathematical engagement and draws on first-hand experience and key research to promote successful classroom practice. It considers what engagement looks like at different ages and the implications of this for the classroom. Accessibly written with examples of successful classroom practice, activities and projects, the book covers: Planning and managing engagement in learning; Mathematical understandings and meanings; Early Primary and the number system; Primary/Secondary Transition and geometrical thinking; Secondary school: Adolescence and algebraic activity; Post-16 and infinity; Learning across the lifespan. Written by a leading authority in the field, this timely text will be essential reading for all trainee and practising teachers of mathematics.
Book Synopsis Symbolizing, Modeling and Tool Use in Mathematics Education by : K.P Gravemeijer
Download or read book Symbolizing, Modeling and Tool Use in Mathematics Education written by K.P Gravemeijer and published by Springer Science & Business Media. This book was released on 2002-12-31 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Symbolizing and Communicating in Mathematics Classrooms by : Paul Cobb
Download or read book Symbolizing and Communicating in Mathematics Classrooms written by Paul Cobb and published by Lawrence Erlbaum Assoc Incorporated. This book was released on 2000 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international group to grapple with issues of communicating, symbolizing, modeling, and mathematizing, particularly as these issues relate to learning in the classroom. The participants invited to develop chapters for this book--all internationally recognized scholars in their respective fields--were selected to represent a wide range of theoretical perspectives including mathematics education, cognitive science, sociocultural theory, and discourse theory. The work is distinguished by the caliber of the contributors, the significance of the topics addressed in the current era of reform in mathematics education, and the diversity of perspectives taken to a common set of themes and issues. The book is intended for those who are seeking to expand their understanding of the complexity of learning in order to enhance the learning experiences students have in schools, primarily researchers, instructional designers, and graduate students in mathematics education, as well as those in other fields including science education, instructional design in general, discourse theory, and semiotics.
Book Synopsis Mathematics in the Early Years by : David Clemson
Download or read book Mathematics in the Early Years written by David Clemson and published by Routledge. This book was released on 2006-11-22 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Clemsons' clear and readable book takes the reader from debates about how children learn and what children know and can do when they start school; through to a discussion of how mathematics can be managed, assessed and evaluated in the school and classroom. Linking these two parts of the book is a section on the subject of mathematics itself, from which the non-specialist reader can gain a view of what mathematics is, what needs to be thought about in planning and offering a curriculum and the special dilemmas faced in teaching and learning mathematics as a subject. A bank of case studies offers an opportunity to see mathematics in action in a variety of classrooms.
Book Synopsis Teaching Secondary School Mathematics by : Merrilyn Goos
Download or read book Teaching Secondary School Mathematics written by Merrilyn Goos and published by Routledge. This book was released on 2020-07-16 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its first publication, Teaching Secondary School Mathematics has established itself as one of the most respected and popular texts for both pre-service and in-service teachers. This new edition has been fully revised and updated to reflect the major changes brought about by the introduction of the Australian Curriculum: Mathematics, as well as discussing significant research findings, the evolution of digital teaching and learning technologies, and the implications of changes in education policies and practices. The mathematical proficiencies that now underpin the Australian curriculum -- understanding, fluency, problem solving and reasoning -- are covered in depth in Part 1, and a new section is devoted to the concept of numeracy. The chapter on digital tools and resources has been significantly expanded to reflect the growing use of these technologies in the classroom, while the importance of assessment is recognised with new material on assessment for learning and as learning, along with a consideration of policy development in this area. Important research findings on common student misconceptions and new and effective approaches for teaching key mathematical skills are covered in detail. As per the first edition readers will find a practical guide to pedagogical approaches and the planning and enactment of lessons together with enhanced chapters on teaching effectively for diversity, managing issues of inequality and developing effective relationships with parents and the community. This book is the essential pedagogical tool for every emerging teacher of secondary school mathematics. 'The text offers an excellent resource for all of those involved in the preparation of secondary mathematics teachers, with links to research literature, exemplars of classroom practices, and instructional activities that encourage readers to actively examine and critique practices within their own educational settings.' Professor Glenda Anthony, Institute of Education, Massey University 'A rich and engaging textbook that covers all of the important aspects of learning to become an effective secondary mathematics teacher. The second edition of this text ... is further enhanced with updated references to the Australian Curriculum, NAPLAN, STEM, current Indigenous, social justice and gender inequity issues, and the place of Australian mathematics curricula on the world stage.' Dr Christine Ormond, Senior Lecturer, Edith Cowan University
Book Synopsis Toward a Visually-Oriented School Mathematics Curriculum by : Ferdinand Rivera
Download or read book Toward a Visually-Oriented School Mathematics Curriculum written by Ferdinand Rivera and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – that is, seeing the visual in the symbolic and the symbolic in the visual."
Book Synopsis The School Mathematics Dictionary by : John A. Fyfield
Download or read book The School Mathematics Dictionary written by John A. Fyfield and published by HarperCollins. This book was released on 1994 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary, aimed at secondary school students, lists mathematical terms, techniques and mathematicians. Full meanings are given, along with hints on pronunciation and worked examples. The dictionary also includes appendices on SI units, mathematical prefixes and commonly used symbols.
Book Synopsis Handbook of International Research in Mathematics Education by : Lyn D. English
Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2015-07-30 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.
Book Synopsis Understanding Numbers in Elementary School Mathematics by : Hongxi Wu
Download or read book Understanding Numbers in Elementary School Mathematics written by Hongxi Wu and published by American Mathematical Soc.. This book was released on 2011 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7. Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.
Book Synopsis The Pedagogy of Secondary-School Mathematics by : Shizao Zhang
Download or read book The Pedagogy of Secondary-School Mathematics written by Shizao Zhang and published by Springer Nature. This book was released on 2023-07-31 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book elucidates the principal aspects and characteristics of secondary school mathematics teaching and learning in China. It combines the cultivation of students' mathematical abilities with the improvement of teaching skills, and explores from both theory and practice to create mathematical pedagogy which has been widely recognized by experts in this field. This book presents a number of mathematics teaching principles and methods, and has been used as an important resource book for mathematics teachers’ education.
Book Synopsis Debates in Mathematics Education by : Gwen Ineson
Download or read book Debates in Mathematics Education written by Gwen Ineson and published by Routledge. This book was released on 2020-06-15 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new and updated second edition of Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. By engaging with established and contemporary debates, this volume promotes and supports critical reflection and aims to stimulate both novice and experienced teachers to reach informed judgements and argue their point of view with deeper theoretical knowledge and understanding. Divided into five accessible sections, this book investigates and offers fresh insight into topics of central importance in mathematics education, with this second edition including new discussions and chapters on: Classic and contemporary issues of pedagogy, politics, philosophy and sociology of mathematics education International comparisons of achievement Digital technologies for teaching Mastery in mathematics Pop culture and mathematics Whether mathematics can be harmful Designed to stimulate discussion and support you in your own research, writing and practice through suggested questions and activities throughout, Debates in Mathematics Education will be a valuable resource for any student or practising teacher, and those engaged in initial teacher education, continuing professional development or Master's level study. This book also has much to offer to those leading mathematics departments in schools and initial teacher education programmes, and to beginning doctoral students looking for a survey of the field of mathematics education research.
Book Synopsis Common Core Mathematics Standards and Implementing Digital Technologies by : Polly, Drew
Download or read book Common Core Mathematics Standards and Implementing Digital Technologies written by Polly, Drew and published by IGI Global. This book was released on 2013-05-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standards in the American education system are traditionally handled on a state-by-state basis, which can differ significantly from one region of the country to the next. Recently, initiatives proposed at the federal level have attempted to bridge this gap. Common Core Mathematics Standards and Implementing Digital Technologies provides a critical discussion of educational standards in mathematics and how communication technologies can support the implementation of common practices across state lines. Leaders in the fields of mathematics education and educational technology will find an examination of the Common Core State Standards in Mathematics through concrete examples, current research, and best practices for teaching all students regardless of grade level or regional location. This book is part of the Advances in Educational Technologies and Instructional Design series collection.
