Perspectives On The Design And Development Of School Mathematics Curricula

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Perspectives on the Design and Development of School Mathematics Curricula

Christian R. Hirsch
Perspectives on the Design and Development of School Mathematics Curricula Book PDF

Author : Christian R. Hirsch
Publisher : National Council of Teachers of English
Page : 199 pages
File Size : 44,6 Mb
Release : 2007
Category : Curriculum planning
ISBN : 0873535995

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Perspectives on the Design and Development of School Mathematics Curricula by Christian R. Hirsch Pdf

Prepared in conjunction with the Center for the Study of Mathematics Curriculum and with support from the National Science Foundation, Perspectives on the Design and Development of School Mathematics Curricula offers multiple perspectives on the design and development of Standards-based curricula by fifteen comprehensive curriculum development projects. The book represents more than fifteen years of work on the part of teams of mathematics curriculum developers in designing, developing, testing and revising innovative curriculum materials for grades K–12. The curricula that evolved out of these projects represent an approach to mathematics teaching and learning that is qualitatively different from conventional practise in content, priorities, organisation and approaches. The insight in this volume provides invaluable guidance to current and future curriculum developers and curriculum users.

School Mathematics Curricula

Catherine P. Vistro-Yu,Tin Lam Toh
School Mathematics Curricula Book PDF

Author : Catherine P. Vistro-Yu,Tin Lam Toh
Publisher : Springer
Page : 237 pages
File Size : 45,7 Mb
Release : 2019-04-26
Category : Education
ISBN : 9789811363122

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School Mathematics Curricula by Catherine P. Vistro-Yu,Tin Lam Toh Pdf

This book sheds light on school mathematics curricula in Asian countries, including their design and the recent reforms that have been initiated. By discussing and analyzing various problematic aspects of curriculum development and implementation in a number of East and South Asian countries and offering insights into these countries’ unique approaches to supplementing school mathematics curricula, it contributes to shaping effective policies for implementation, assessment and monitoring of curricula. The book covers a wide range of issues: curriculum design, localization of curricula, directions of curricular reforms, mathematics textbooks, assessment within the curriculum and teachers’ professional development, which are of interest to a wide international audience.

Reshaping School Mathematics

National Research Council,Mathematical Sciences Education Board
Reshaping School Mathematics Book PDF

Author : National Research Council,Mathematical Sciences Education Board
Publisher : National Academies Press
Page : 76 pages
File Size : 54,8 Mb
Release : 1990-02-01
Category : Education
ISBN : 9780309041874

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Reshaping School Mathematics by National Research Council,Mathematical Sciences Education Board Pdf

The United States must restructure mathematics educationâ€"both what is learned and the way it is taughtâ€"if children are to develop the mathematical knowledge and skills they will need to be personally and professionally competent in the twenty-first century. Joining the recent reports that have opened a national dialogue on these issues, Reshaping School Mathematics focuses discussion on essential ideas that transcend details of current curricula or assessment results. It examines changing perspectives on the role of mathematics in society and changing practice in the use of technologyâ€"particularly calculators and computersâ€"in mathematics education.

Mathematics Education in the Digital Age

Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand
Mathematics Education in the Digital Age Book PDF

Author : Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand
Publisher : Routledge
Page : 246 pages
File Size : 48,6 Mb
Release : 2021-05-24
Category : Education
ISBN : 9781000390797

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Mathematics Education in the Digital Age by Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand Pdf

The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.

Elementary Mathematics Curriculum Materials

Janine T. Remillard,Ok-Kyeong Kim
Elementary Mathematics Curriculum Materials Book PDF

Author : Janine T. Remillard,Ok-Kyeong Kim
Publisher : Springer Nature
Page : 329 pages
File Size : 45,9 Mb
Release : 2020-03-16
Category : Education
ISBN : 9783030385880

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Elementary Mathematics Curriculum Materials by Janine T. Remillard,Ok-Kyeong Kim Pdf

The book presents comparative analyses of five elementary mathematics curriculum programs used in the U.S. from three different perspectives: the mathematical emphasis, the pedagogical approaches, and how authors communicate with teachers. These perspectives comprise a framework for examining what curriculum materials are comprised of, what is involved in reading and interpreting them, and how curriculum authors can and do support teachers in this process. Although the focus of the analysis is 5 programs used at a particular point in time, this framework extends beyond these specific programs and illuminates the complexity of curriculum materials and their role in teaching in general. Our analysis of the mathematical emphasis considers how the mathematics content is presented in each program, in terms of sequencing, the nature of mathematical tasks (cognitive demand and ongoing practice), and the way representations are used. Our analysis of the pedagogical approach examines explicit and implicit messages about how students should interact with mathematics, one another, the teacher, and the textbook around these mathematical ideas, as well as the role of the teacher. In order to examine how curriculum authors support teachers, we analyze how they communicate with teachers and what they communicate about, including the underlying mathematics, noticing student thinking, and rationale for design elements. The volume includes a chapter on curriculum design decisions based on interviews with curriculum authors.

Designing Mathematics or Science Curriculum Programs

National Research Council,Division of Behavioral and Social Sciences and Education,Board on Science Education,Committee on Science Education K-12 and the Mathematical Sciences Education Board
Designing Mathematics or Science Curriculum Programs Book PDF

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Board on Science Education,Committee on Science Education K-12 and the Mathematical Sciences Education Board
Publisher : National Academies Press
Page : 71 pages
File Size : 54,6 Mb
Release : 1999-12-15
Category : Education
ISBN : 9780309065276

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Designing Mathematics or Science Curriculum Programs by National Research Council,Division of Behavioral and Social Sciences and Education,Board on Science Education,Committee on Science Education K-12 and the Mathematical Sciences Education Board Pdf

With the publication of the National Science Education Standards and the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards for School Mathematics, a clear set of goals and guidelines for achieving literacy in mathematics and science was established. Designing Mathematics or Science Curriculum Programs has been developed to help state- and district-level education leaders create coherent, multi-year curriculum programs that provide students with opportunities to learn both mathematics and science in a connected and cumulative way throughout their schooling. Researchers have confirmed that as U.S. students move through the grade levels, they slip further and further behind students of other nations in mathematics and science achievement. Experts now believe that U.S. student performance is hindered by the lack of coherence in the mathematics and science curricula in many American schools. By structuring curriculum programs that capitalize on what students have already learned, the new concepts and processes that they can learn will be richer, more complex, and at a higher level. Designing Mathematics or Science Curriculum Programs outlines: Components of effective mathematics and science programs. Criteria by which these components can be judged. A process for developing curriculum that is structured, focused, and coherent. Perhaps most important, this book emphasizes the need for designing curricula across the entire 13-year span that our children spend in elementary and secondary school as a way to improve the quality of education. Ultimately, it will help state and district educators use national and state standards to design or re-build mathematics and science curriculum programs that develop new ideas and skills based on earlier onesâ€"from lesson to lesson, unit to unit, year to year. Anyone responsible for designing or influencing mathematics or science curriculum programs will find this guide valuable.

Mathematics Curriculum in School Education

Yeping Li,Glenda Lappan
Mathematics Curriculum in School Education Book PDF

Author : Yeping Li,Glenda Lappan
Publisher : Springer Science & Business Media
Page : 651 pages
File Size : 45,9 Mb
Release : 2013-11-19
Category : Education
ISBN : 9789400775602

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Mathematics Curriculum in School Education by Yeping Li,Glenda Lappan Pdf

Mathematics curriculum, which is often a focus in education reforms, has not received extensive research attention until recently. Ongoing mathematics curriculum changes in many education systems call for further research and sharing of effective curriculum policies and practices that can help lead to the improvement of school education. This book provides a unique international perspective on diverse curriculum issues and practices in different education systems, offering a comprehensive picture of various stages along curriculum transformation from the intended to the achieved, and showing how curriculum changes in various stages contribute to mathematics teaching and learning in different educational systems and cultural contexts. The book is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: Identifying what is important in mathematics for teaching and learning in different education systems; Understanding mathematics curriculum and its changes that are valued over time in different education systems; Identifying and analyzing effective curriculum practices; Probing effective infrastructure for curriculum development and implementation. Mathematics Curriculum in School Education brings new insights into curriculum policies and practices to the international community of mathematics education, with 29 chapters and four section prefaces contributed by 56 scholars from 14 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, curriculum developers, and graduate students interested in learning about recent curriculum development, research, and practices in different education systems. It will help readers to reflect on curriculum policies and practices in their own education systems, and also inspire them to identify and further explore new areas of curriculum research for improving mathematics teaching and learning.

International Perspectives on Mathematics Curriculum

Denisse R Thompson,Mary Ann Huntley,Christine Suurtamm
International Perspectives on Mathematics Curriculum Book PDF

Author : Denisse R Thompson,Mary Ann Huntley,Christine Suurtamm
Publisher : IAP
Page : 261 pages
File Size : 55,8 Mb
Release : 2018-01-01
Category : Education
ISBN : 9781641130455

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International Perspectives on Mathematics Curriculum by Denisse R Thompson,Mary Ann Huntley,Christine Suurtamm Pdf

Curriculum can be defined in a variety of ways. It might be viewed as a body of knowledge, a product, or a process. Curricula can differ as they are conceptualized from various theoretical perspectives to address the needs of teachers, students, and the context of schooling. One reason to study curriculum is “to reveal the expectations, processes and outcomes of students’ school learning experiences that are situated in different cultural and system contexts. … further studies of curriculum practices and changes are much needed to help ensure the success of educational reforms in the different cultural and system contexts” (Kulm & Li, 2009, p. 709). This volume highlights international perspectives on curriculum and aims to broaden the wider mathematics education community’s understandings of mathematics curriculum through viewing a variety of ways that curricula are developed, understood, and implemented in different jurisdictions/countries. Within this volume, we define curriculum broadly as the set of mathematics standards or outcomes, the messages inherent in mathematics curriculum documents and resources, how these standards are understood by a variety of stakeholders, and how they are enacted in classrooms. The focus is on the written, implied, and enacted curriculum in various educational settings throughout the world.

School Mathematics Curricula

Catherine P. Vistro-Yu,Tin Lam Toh
School Mathematics Curricula Book PDF

Author : Catherine P. Vistro-Yu,Tin Lam Toh
Publisher : Unknown
Page : 128 pages
File Size : 50,8 Mb
Release : 2019
Category : Curriculum change
ISBN : 9811363110

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School Mathematics Curricula by Catherine P. Vistro-Yu,Tin Lam Toh Pdf

This book sheds light on school mathematics curricula in Asian countries, including their design and the recent reforms that have been initiated. By discussing and analyzing various problematic aspects of curriculum development and implementation in a number of East and South Asian countries and offering insights into these countries' unique approaches to supplementing school mathematics curricula, it contributes to shaping effective policies for implementation, assessment and monitoring of curricula. The book covers a wide range of issues: curriculum design, localization of curricula, directions of curricular reforms, mathematics textbooks, assessment within the curriculum and teachers' professional development, which are of interest to a wide international audience.

A Decade of Middle School Mathematics Curriculum Implementation

Margaret R. Meyer,Cynthia W. Langrall
A Decade of Middle School Mathematics Curriculum Implementation Book PDF

Author : Margaret R. Meyer,Cynthia W. Langrall
Publisher : IAP
Page : 317 pages
File Size : 51,5 Mb
Release : 2008-12-01
Category : Mathematics
ISBN : 9781607528104

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A Decade of Middle School Mathematics Curriculum Implementation by Margaret R. Meyer,Cynthia W. Langrall Pdf

Associate Editors Fran Arbaugh, University of Missouri–Columbia, David C. Webb, University of Colorado at Boulder and Murrel Brewer Hoover, WVSTEM Center @ Marshall University The purpose of this book is to document the work of the Show-Me Project (1997–2007) and to highlight lessons learned about curriculum implementation. Although the Show-Me Project was charged with promoting the dissemination and implementation of four distinct comprehensive curriculum programs (Connected Mathematics, Mathematics in Context, MathScape, and MathThematics), most of the lessons learned from this work are not curriculum specific. Rather, they cut across the four programs and share commonalities with standards-based curriculum reform at any level. We believe that documenting these lessons learned will be one of the legacies of the Show-Me Project. We anticipate that the comprehensive nature of this work will attract readers from multiple audiences that include state and district mathematics supervisors, middle grades mathematics teachers and administrators involved in curriculum reform, as well as mathematics teacher educators. Those about to embark on the review of curriculum materials will appreciate reading about the processes employed by other districts. Readers with interests in a particular curriculum program will be able to trace the curriculum-specific chapters to gain insights into how the design of the curricula relate to professional development, adoption and implementation issues, and teachers’ personal experience using the curriculum materials. Individuals who provide professional development at the middle grades level will find chapters that they can use for both general and focused discussions. Teachers at all stages of implementation will recognize their own experiences in reading and reflecting on the stories of teacher change. Mathematics educators will find ideas on how these curricula can be used in the preparation of preservice middle grades teachers.

Mathematics Teachers at Work

Janine T. Remillard,Beth A. Herbel-Eisenmann,Gwendolyn M. Lloyd
Mathematics Teachers at Work Book PDF

Author : Janine T. Remillard,Beth A. Herbel-Eisenmann,Gwendolyn M. Lloyd
Publisher : Routledge
Page : 396 pages
File Size : 40,6 Mb
Release : 2011-09-20
Category : Education
ISBN : 9781135855635

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Mathematics Teachers at Work by Janine T. Remillard,Beth A. Herbel-Eisenmann,Gwendolyn M. Lloyd Pdf

This book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.

Designing Mathematics or Science Curriculum Programs

National Research Council,Division of Behavioral and Social Sciences and Education,Board on Science Education,Committee on Science Education K-12 and the Mathematical Sciences Education Board
Designing Mathematics or Science Curriculum Programs Book PDF

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Board on Science Education,Committee on Science Education K-12 and the Mathematical Sciences Education Board
Publisher : National Academies Press
Page : 70 pages
File Size : 53,8 Mb
Release : 1999-11-15
Category : Education
ISBN : 9780309185622

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Designing Mathematics or Science Curriculum Programs by National Research Council,Division of Behavioral and Social Sciences and Education,Board on Science Education,Committee on Science Education K-12 and the Mathematical Sciences Education Board Pdf

With the publication of the National Science Education Standards and the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards for School Mathematics, a clear set of goals and guidelines for achieving literacy in mathematics and science was established. Designing Mathematics or Science Curriculum Programs has been developed to help state- and district-level education leaders create coherent, multi-year curriculum programs that provide students with opportunities to learn both mathematics and science in a connected and cumulative way throughout their schooling. Researchers have confirmed that as U.S. students move through the grade levels, they slip further and further behind students of other nations in mathematics and science achievement. Experts now believe that U.S. student performance is hindered by the lack of coherence in the mathematics and science curricula in many American schools. By structuring curriculum programs that capitalize on what students have already learned, the new concepts and processes that they can learn will be richer, more complex, and at a higher level. Designing Mathematics or Science Curriculum Programs outlines: Components of effective mathematics and science programs. Criteria by which these components can be judged. A process for developing curriculum that is structured, focused, and coherent. Perhaps most important, this book emphasizes the need for designing curricula across the entire 13-year span that our children spend in elementary and secondary school as a way to improve the quality of education. Ultimately, it will help state and district educators use national and state standards to design or re-build mathematics and science curriculum programs that develop new ideas and skills based on earlier onesâ€"from lesson to lesson, unit to unit, year to year. Anyone responsible for designing or influencing mathematics or science curriculum programs will find this guide valuable.

Enacted Mathematics Curriculum

Denisse R Thompson,Zalman Usiskin
Enacted Mathematics Curriculum Book PDF

Author : Denisse R Thompson,Zalman Usiskin
Publisher : IAP
Page : 211 pages
File Size : 46,9 Mb
Release : 2014-01-01
Category : Mathematics
ISBN : 9781623965853

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Enacted Mathematics Curriculum by Denisse R Thompson,Zalman Usiskin Pdf

This volume is an outgrowth of the Conference on Research on the Enacted Mathematics Curriculum, funded by the National Science Foundation and held in Tampa, Florida in November 2010. The volume has the potential to be useful to a range of researchers, from established veterans in curriculum research to new researchers in this area of mathematics education. The chapters can be used to generate conversation about researching the enacted mathematics curriculum, including similarities and differences in the variables that can and should be studied across various curricula. As such, it might be used by a curriculum project team as it outlines a research agenda for curriculum or program evaluation. It might also be used as a text in a university graduate course on curriculum research and design. The chapters in this volume are a natural complement to those in Approaches to Studying the Enacted Mathematics Curriculum (Heck, Chval, Weiss, & Ziebarth, 2012), also published by Information Age Publishing. While the present volume focuses on a range of issues related to researching the enacted mathematics curriculum, including theoretical and conceptual issues, the volume by Heck et al. provides insights into different instrumentations used by groups of researchers to study curriculum enactment.

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 : 52,9 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.

Teaching and Learning Proof Across the Grades

Despina A. Stylianou,Maria L. Blanton,Eric J. Knuth
Teaching and Learning Proof Across the Grades Book PDF

Author : Despina A. Stylianou,Maria L. Blanton,Eric J. Knuth
Publisher : Routledge
Page : 515 pages
File Size : 41,5 Mb
Release : 2010-09-23
Category : Education
ISBN : 9781135856748

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Teaching and Learning Proof Across the Grades by Despina A. Stylianou,Maria L. Blanton,Eric J. Knuth Pdf

A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.