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 : 41,8 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.

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 : 47,7 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 : 50,8 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 : 43,9 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.

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 : 51,5 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.

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 : 41,9 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.

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 : 53,9 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.

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 : 40,8 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.

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 : 46,8 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.

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 : 42,6 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.

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 : 51,6 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.

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 : 43,7 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 : 53,9 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)

The Mathematical Education of Teachers

Conference Board of the Mathematical Sciences
The Mathematical Education of Teachers Book PDF

Author : Conference Board of the Mathematical Sciences
Publisher : American Mathematical Soc.
Page : 164 pages
File Size : 55,7 Mb
Release : 2001
Category : Education
ISBN : 0821828991

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The Mathematical Education of Teachers by Conference Board of the Mathematical Sciences Pdf

Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well,substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinkingon curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is gearedtoward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.

High School Mathematics at Work

National Research Council,Mathematical Sciences Education Board
High School Mathematics at Work Book PDF

Author : National Research Council,Mathematical Sciences Education Board
Publisher : National Academies Press
Page : 191 pages
File Size : 46,6 Mb
Release : 1998-05-27
Category : Education
ISBN : 9780309174732

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High School Mathematics at Work by National Research Council,Mathematical Sciences Education Board Pdf

Traditionally, vocational mathematics and precollege mathematics have been separate in schools. But the technological world in which today's students will work and live calls for increasing connection between mathematics and its applications. Workplace-based mathematics may be good mathematics for everyone. High School Mathematics at Work illuminates the interplay between technical and academic mathematics. This collection of thought-provoking essaysâ€"by mathematicians, educators, and other expertsâ€"is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to strengthen high school mathematical education. This important book addresses how to make mathematical education of all students meaningfulâ€"how to meet the practical needs of students entering the work force after high school as well as the needs of students going on to postsecondary education. The short readable essays frame basic issues, provide background, and suggest alternatives to the traditional separation between technical and academic mathematics. They are accompanied by intriguing multipart problems that illustrate how deep mathematics functions in everyday settingsâ€"from analysis of ambulance response times to energy utilization, from buying a used car to "rounding off" to simplify problems. The book addresses the role of standards in mathematics education, discussing issues such as finding common ground between science and mathematics education standards, improving the articulation from school to work, and comparing SAT results across settings. Experts discuss how to develop curricula so that students learn to solve problems they are likely to encounter in lifeâ€"while also providing them with approaches to unfamiliar problems. The book also addresses how teachers can help prepare students for postsecondary education. For teacher education the book explores the changing nature of pedagogy and new approaches to teacher development. What kind of teaching will allow mathematics to be a guide rather than a gatekeeper to many career paths? Essays discuss pedagogical implication in problem-centered teaching, the role of complex mathematical tasks in teacher education, and the idea of making open-ended tasksâ€"and the student work they elicitâ€"central to professional discourse. High School Mathematics at Work presents thoughtful views from experts. It identifies rich possibilities for teaching mathematics and preparing students for the technological challenges of the future. This book will inform and inspire teachers, teacher educators, curriculum developers, and others involved in improving mathematics education and the capabilities of tomorrow's work force.