Improving Mathematics Education

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Improving Mathematics Education

National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematical Sciences Education Board,Committee on Decisions That Count
Improving Mathematics Education Book PDF

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematical Sciences Education Board,Committee on Decisions That Count
Publisher : National Academies Press
Page : 59 pages
File Size : 42,9 Mb
Release : 2002-01-28
Category : Education
ISBN : 9780309083003

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Improving Mathematics Education by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematical Sciences Education Board,Committee on Decisions That Count Pdf

Improving Mathematics Education has been designed to help inform stakeholders about the decisions they face, to point to recent research findings, and to provide access to the most recent thinking of experts on issues of national concern in mathematics education. The essence of the report is that information is available to help those charged with improving student achievement in mathematics. The documents cited above can guide those who make decisions about content, learning, teaching, and assessment. The report is organized around five key questions: What should we teach, given what we know and value about mathematics and its roles? How should we teach so children learn, given what we know about students, mathematics, and how people learn mathematics? What preparation and support do teachers need? How do we know whether what we are doing is working? What must change? Each of the five main chapters in this report considers a key area of mathematics education and describes the core messages of current publication(s) in that area. To maintain the integrity of each report's recommendations, we used direct quotes and the terminology defined and used in that report. If the wording or terminology seems to need clarification, the committee refers the reader directly to the original document. Because these areas are interdependent, the documents often offer recommendations related to several different areas. While the individual documents are discussed under only one of the components in Improving Mathematics Education, the reader should recognize that each document may have a broader scope. In general, the references in this report should serve as a starting point for the interested reader, who can refer to the original documents for fuller discussions of the recommendations and, in some cases, suggestions for implementation. Improving Mathematics Education is designed to help educators build a critical knowledge base about mathematics education, recognizing that the future of the nation's students is integrally intertwined with the decisions we make (or fail to make) about the mathematics education they receive.

Making the Connection

Marilyn Paula Carlson,Chris Rasmussen
Making the Connection Book PDF

Author : Marilyn Paula Carlson,Chris Rasmussen
Publisher : MAA
Page : 340 pages
File Size : 49,7 Mb
Release : 2008
Category : Mathematics
ISBN : 0883851830

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Making the Connection by Marilyn Paula Carlson,Chris Rasmussen Pdf

The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.

Improving Primary Mathematics Education, Teaching and Learning

Mellony Graven,Hamsa Venkat
Improving Primary Mathematics Education Teaching and Learning Book PDF

Author : Mellony Graven,Hamsa Venkat
Publisher : Springer
Page : 255 pages
File Size : 54,7 Mb
Release : 2017-01-19
Category : Education
ISBN : 9781137529800

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Improving Primary Mathematics Education, Teaching and Learning by Mellony Graven,Hamsa Venkat Pdf

This book focuses on how to improve the teaching and learning of primary level mathematics education within resource-constrained contexts. It builds on two large numeracy projects within South Africa which speak to broader, global concerns and highlight how research and development not only enables one to meet ethical imperatives but also explore how further interventions can be developed. Teacher and research communities must work together to create mutually beneficial relationships and establish a cohesive understanding of the requirements of primary mathematics education.

Vital Directions for Mathematics Education Research

Keith R Leatham
Vital Directions for Mathematics Education Research Book PDF

Author : Keith R Leatham
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 48,9 Mb
Release : 2014-07-08
Category : Education
ISBN : 9781461469773

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Vital Directions for Mathematics Education Research by Keith R Leatham Pdf

This book provides a collection of chapters from prominent mathematics educators in which they each discuss vital issues in mathematics education and what they see as viable directions research in mathematics education could take to address these issues. All of these issues are related to learning and teaching mathematics. The book consists of nine chapters, seven from each of seven scholars who participated in an invited lecture series (Scholars in Mathematics Education) at Brigham Young University, and two chapters from two other scholars who are writing reaction papers that look across the first seven chapters. The recommendations take the form of broad, overarching principles and ideas that cut across the field. In this sense, this book differs from classical “research agenda projects,” which seek to outline specific research questions that the field should address around a central topic.

Improving Applied Mathematics Education

Ron Buckmire,Jessica M. Libertini
Improving Applied Mathematics Education Book PDF

Author : Ron Buckmire,Jessica M. Libertini
Publisher : Springer Nature
Page : 94 pages
File Size : 46,7 Mb
Release : 2021-03-18
Category : Education
ISBN : 9783030617172

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Improving Applied Mathematics Education by Ron Buckmire,Jessica M. Libertini Pdf

This book presents various contemporary topics in applied mathematics education and addresses both interested undergraduate instructors and STEM education researchers. The diverse set of topics of this edited volume range from analyzing the demographics of the United States mathematics community, discussing the teaching of calculus using modern tools, engaging students to use applied mathematics to learn about and solve problems of global significance, developing a general education course for humanities and social sciences students that features applications of mathematics, and describing local mathematical modeling competitions and their use in providing authentic experiences for students in applying mathematics to real world situations. The authors represent diversity along multiple dimensions of difference: race, gender, institutional affiliation, and professional experience.

Transforming Mathematics Instruction

Yeping Li,Edward A. Silver,Shiqi Li
Transforming Mathematics Instruction Book PDF

Author : Yeping Li,Edward A. Silver,Shiqi Li
Publisher : Springer
Page : 581 pages
File Size : 45,7 Mb
Release : 2014-07-05
Category : Education
ISBN : 9783319049939

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Transforming Mathematics Instruction by Yeping Li,Edward A. Silver,Shiqi Li Pdf

This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction 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 emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

Knowing and Teaching Elementary Mathematics

Liping Ma
Knowing and Teaching Elementary Mathematics Book PDF

Author : Liping Ma
Publisher : Routledge
Page : 329 pages
File Size : 53,8 Mb
Release : 2010-03-26
Category : Education
ISBN : 9781135149499

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Knowing and Teaching Elementary Mathematics by Liping Ma Pdf

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.

The Effectiveness of Mathematics Teaching in Primary Schools

Zhenzhen Miao,David Reynolds
The Effectiveness of Mathematics Teaching in Primary Schools Book PDF

Author : Zhenzhen Miao,David Reynolds
Publisher : Routledge
Page : 180 pages
File Size : 48,7 Mb
Release : 2017-07-06
Category : Education
ISBN : 9781317191063

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The Effectiveness of Mathematics Teaching in Primary Schools by Zhenzhen Miao,David Reynolds Pdf

The Effectiveness of Mathematics Teaching in Primary Schools: Lessons from England and China provides a unique insight into the mathematics classrooms of these two countries and arrives at a time when the world is eager to know how Chinese learners consistently excel at learning mathematics and other core subjects. Showcasing the kinds of teaching methods that work within and across countries, this book presents a rich collection of views, including those from teachers, their native colleagues, their foreign colleagues and the researcher, regarding the quality of mathematics teaching today. Interweaving scientific results about teaching and learning evaluations with multiple perspectives of various roles in and out of the classroom, Miao and Reynolds offer insights into how and why different approaches of teaching have led to different learning outcomes in mathematics internationally. Building on rigid and robust analyses of the most up-to-date data in England and China, the book indicates that it is through changing teaching rather than changing teachers that mathematics learning can be improved, because it is what teachers do in the classroom that really makes a big difference. Containing four decades of wisdom from the field of teaching effectiveness research, this book is essential reading for all who want to improve the quality of mathematics teaching worldwide. This book is particularly relevant for educational researchers, postgraduate students and teachers, as well as school leaders, policymakers and parents.

Improving Indicators of the Quality of Science and Mathematics Education in Grades K-12

National Research Council,Division of Behavioral and Social Sciences and Education,Commission on Behavioral and Social Sciences and Education,Committee on Indicators of Precollege Science and Mathematics Education
Improving Indicators of the Quality of Science and Mathematics Education in Grades K 12 Book PDF

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Commission on Behavioral and Social Sciences and Education,Committee on Indicators of Precollege Science and Mathematics Education
Publisher : National Academies Press
Page : 231 pages
File Size : 46,6 Mb
Release : 1988-02-01
Category : Education
ISBN : 9780309037402

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Improving Indicators of the Quality of Science and Mathematics Education in Grades K-12 by National Research Council,Division of Behavioral and Social Sciences and Education,Commission on Behavioral and Social Sciences and Education,Committee on Indicators of Precollege Science and Mathematics Education Pdf

This book presents a carefully developed monitoring system to track the progress of mathematics and science education, particularly the effects of ongoing efforts to improve students' scientific knowledge and mathematics competency. It describes an improved series of indicators to assess student learning, curriculum quality, teaching effectiveness, student behavior, and financial and leadership support for mathematics and science education. Of special interest is a critical review of current testing methods and their use in probing higher-order skills and evaluating educational quality.

Improving Mathematics and Science Education

Vi-Nhuan Le
Improving Mathematics and Science Education Book PDF

Author : Vi-Nhuan Le
Publisher : Rand Corporation
Page : 117 pages
File Size : 46,5 Mb
Release : 2006
Category : Education
ISBN : 9780833039644

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Improving Mathematics and Science Education by Vi-Nhuan Le Pdf

This report presents the findings of a multiyear study of the effectiveness of reform-oriented science and mathematics instruction.

Literacy Strategies for Improving Mathematics Instruction

Joan M. Kenney,Euthecia Hancewicz
Literacy Strategies for Improving Mathematics Instruction Book PDF

Author : Joan M. Kenney,Euthecia Hancewicz
Publisher : ASCD
Page : 122 pages
File Size : 45,7 Mb
Release : 2005
Category : Education
ISBN : 9781416602309

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Literacy Strategies for Improving Mathematics Instruction by Joan M. Kenney,Euthecia Hancewicz Pdf

Provides teachers with classroom-proven ways to prepare students to be successful math learners by teaching the vocabulary and comprehension skills needed to understand mathematics.

Building Thinking Classrooms in Mathematics, Grades K-12

Peter Liljedahl
Building Thinking Classrooms in Mathematics Grades K 12 Book PDF

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 53,5 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374840

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Developing Research in Mathematics Education

Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Developing Research in Mathematics Education Book PDF

Author : Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Publisher : Unknown
Page : 0 pages
File Size : 52,5 Mb
Release : 2018
Category : Mathematics
ISBN : 1138080276

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Developing Research in Mathematics Education by Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven Pdf

This field-spanning book will set out the broad advances in knowledge which have accumulated in the 21st century through the sustained exchange of ideas and collaboration between mathematics education researchers, considering both european and global perspectives. It is split in to three main sections focusing on content domains and processes, aspects of mathematics teaching and learning, and linguistic and social perspectives, and concludes with two lively international discussion chapters. Each section will include coverage of recent developments, current status and future outlook of global research making this book a fascintaing compendium of state of the art mathematical knowledge.

Lesson Study

Maitree Inprasitha,Masami Isoda,Patsy Wang-Iverson,Ban-Har Yeap
Lesson Study Book PDF

Author : Maitree Inprasitha,Masami Isoda,Patsy Wang-Iverson,Ban-Har Yeap
Publisher : World Scientific
Page : 392 pages
File Size : 40,9 Mb
Release : 2015-03-25
Category : Mathematics
ISBN : 9789814641081

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Lesson Study by Maitree Inprasitha,Masami Isoda,Patsy Wang-Iverson,Ban-Har Yeap Pdf

Classroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study implementation from members of the APEC economies. Lesson study is one of the best ways to improve the quality of teaching. It is a model approach for improvement of teacher education across the globe. This book focuses on mathematics education, teacher education, and curriculum implementation and reforms. Contents:The Role of Lesson Study in Overcoming Challenges in Mathematics Education:Mathematics Education for the Knowledge-Based Society (Alan J Bishop)Mathematical Thinking for Classroom Decision Making (Kaye Stacey)Setting Lesson Study within a Long-Term Framework of Learning (David Tall)Lesson Study: An Essential Process for Improving Mathematics Teaching and Learning (Akihiko Takahashi)Comparative Study of Mathematics Classrooms — What can be Learned from the TIMSS 1999 Video Study? (Frederick K S Leung)The Science of Lesson Study in the Problem Solving Approach (Masami Isoda)Preparing Ground for the Introduction of Lesson Study in Thailand (Maitree Inprasitha)Perspectives on Lesson Study and Professional Development:History of Lesson Study to Develop Good Practices in Japan (Shizumi Shimizu & Kimiho Chino)What have We Learned about Lesson Study Outside Japan? (Catherine Lewis)Enhancing Mathematics Teachers' Professional Development through Lesson Study ~ A Case Study in Singapore ~ (Ban-Har Yeap, Peggy Foo & Poh Suan Soh)Using Lesson Study to Develop an Approach to Problem Solving: Adding and Subtracting Fractions (Kazuyoshi Okubo & Hiroko Tsuji)Prospective Teacher Education in Mathematics through Lesson Study (Maitree Inprasitha)In-service Teacher Education in Mathematics through Lesson Study (Soledad A Ulep)Lesson Study for Illustrating Innovative Approaches in the Classroom:Transforming Education through Lesson Study: Thailand's Decade-Long Journey (Maitree Inprasitha)Mathematics Teachers Professional Development through Lesson Study in Indonesia (Marsigit)Lesson Study in Chile (Grecia Gálvez)Initiating Lesson Study to Promote Good Practices: A Malaysian Experience (Chap Sam Lim & Chin Mon Chiew)Using Lesson Study as a Means to Innovation for Teaching and Learning Mathematics in Vietnam: Research Lesson on the Property of the Three Medians in a Triangle (Tran Vui)Lesson Study in Singapore: A Case of Division with Remainder in a Third Grade Mathematics Classroom (Yanping Fang & Christine Kim Eng Lee)Enabling Teachers to Introduce Innovations in the Classroom through Lesson Study (Soledad A Ulep)What is a Good Lesson in Japan? An Analysis (Takeshi Miyakawa)Using Lesson Study to Connect Procedural Knowledge with Mathematical Thinking (Patsy Wang-Iverson & Marian Palumbo) Readership: Mathematics educators of teacher training colleges, mathematics teachers, prospective teachers (elementary and secondary school) and undergraduate students in mathematics. Key Features:Presents the world reform movement by top researchersIncludes the challenges of lesson study and videos of model lessons in the world (lesson videos will be available on the website: http://www.criced.tsukuba.ac.jp/math/apec)Includes the Japanese teaching methods called “problem-solving approaches”Keywords:Lesson Study;Mathematics;Mathematics Education;Elementary School;Secondary School;Open-Ended Approach;Problem Solving;Teacher Education;Pedagogical Content Knowledge;Action Research;Lesson Videos;Curriculum Standards

Improving Mathematics in Middle School

Edward A. Silver
Improving Mathematics in Middle School Book PDF

Author : Edward A. Silver
Publisher : U.S. Government Printing Office
Page : 32 pages
File Size : 46,7 Mb
Release : 1998
Category : Education
ISBN : MINN:31951D00365203V

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Improving Mathematics in Middle School by Edward A. Silver Pdf

Results from the Third International Mathematics and Science Study (TIMMS) have recently captured the attention of the United States and once again focused the nation on matters of mathematics teaching and learning. In general, the TIMSS results indicate a pervasive and intolerable mediocrity in mathematics teaching and learning in the middle grades and beyond. At Grades 7 and 8 and also at Grade 12, U.S. students achieve poorly in mathematics compared to students in much of the rest of the world. Even the 12th-grade students who take advanced mathematics courses performed substantially below students in most other nations. The results also suggest that the demands made by the U.S. school mathematics curriculum and mathematics classroom instruction are not as challenging as in other countries. This document reports the major findings from TIMMS and makes some recommendations for enhancing mathematics teaching and learning in the middle grades. Contains 40 references. (ASK)