The Nature And Role Of Algebra In The K 14 Curriculum

Author : National Research Council,National Council of Teachers of Mathematics and Mathematical Sciences Education Board,Center for Science, Mathematics, and Engineering Education
Publisher : National Academies Press
Page : 206 pages
File Size : 44,6 Mb
Release : 1998-10-23
Category : Education
ISBN : 9780309061476

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The Nature and Role of Algebra in the K-14 Curriculum by National Research Council,National Council of Teachers of Mathematics and Mathematical Sciences Education Board,Center for Science, Mathematics, and Engineering Education Pdf

With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.

Author : National Research Council,National Council of Teachers of Mathematics and Mathematical Sciences Education Board,Center for Science, Mathematics, and Engineering Education
Publisher : National Academies Press
Page : 206 pages
File Size : 50,8 Mb
Release : 1998-09-23
Category : Education
ISBN : 9780309173681

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The Nature and Role of Algebra in the K-14 Curriculum by National Research Council,National Council of Teachers of Mathematics and Mathematical Sciences Education Board,Center for Science, Mathematics, and Engineering Education Pdf

With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.

Author : Center for Science, Mathematics, and Engineering Education,National Council of Teachers of Mathematics and Mathematical Sciences Education Board,National Research Council
Publisher : National Academies Press
Page : 206 pages
File Size : 49,5 Mb
Release : 1998-10-07
Category : Education
ISBN : 9780309522458

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The Nature and Role of Algebra in the K-14 Curriculum by Center for Science, Mathematics, and Engineering Education,National Council of Teachers of Mathematics and Mathematical Sciences Education Board,National Research Council Pdf

With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.

Author : Sheryl J. Denbo,Lynson Moore Beaulieu
Publisher : Charles C Thomas Publisher
Page : 288 pages
File Size : 48,7 Mb
Release : 2002-01-01
Category : Academic achievement
ISBN : 9780398083656

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IMPROVING SCHOOLS FOR AFRICAN AMERICAN STUDENTS by Sheryl J. Denbo,Lynson Moore Beaulieu Pdf

Improving Schools for African American Students is designed to provide educational leaders with a better understanding of how to recognize the diversity of strengths that Black students bring with them to school and how to use these strengths to improve achievement. The articles contained in this book discuss generic education issues such as policy reform, the importance of high quality teaching, and the improvement of schools from the perspective of the academic achievement of African American students. Part I explores institutional racism in the context of America's public schools and provides suggestions for educational leaders to eliminate harmful policies and practices within educational institutions and settings. Part II discusses the kinds of institutional and instructional changes that are needed to support successful schooling of African American children and youth. Part III focuses on the challenges presented to African American students by the current high stakes testing environment that surrounds standards, assessment, and accountability. A review of the literature on schools that have succeeded in improving achievement for African American students at the elementary, middle, and high school levels with districts moving towards narrowing the achievement gap is included. This text examines a wide variety of policies, programs, practices, and research that will provide valuable insight. The emphasis throughout the book is on the ability of educators to successfully restructure their schools, offer high quality teaching and learning standards for African American students and to make the kinds of changes that will result in high achievement for all students.

Author : Robert B. Cooter
Publisher : Routledge
Page : 304 pages
File Size : 52,8 Mb
Release : 2003-12-08
Category : Education
ISBN : 9781135632199

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Perspectives on Rescuing Urban Literacy Education by Robert B. Cooter Pdf

An exploration of the variables that contribute to the improvement of literacy instruction in large urban school districts. The text grew out of The Dallas Reading Plan - a five-year initiative between area business and corporate interests, philanthropy, and the Dallas Independent School District.

Author : Monica Neagoy
Publisher : Corwin Press
Page : 210 pages
File Size : 48,9 Mb
Release : 2012-04-20
Category : Education
ISBN : 9781452283630

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Planting the Seeds of Algebra, PreK–2 by Monica Neagoy Pdf

Help young minds explore algebraic concepts Algebra is the gateway to higher education, and preparing students to grasp algebraic concepts increases their opportunities to succeed. This book shows teachers how to create a strong foundation in algebra for very young children. Using in-depth math "explorations," the author unpacks—step by step—the hidden connections to higher algebra. Each exploration contains an elegantly simple grade-banded lesson (on addition, subtraction, patterns, and odd and even numbers), followed by a discussion of the algebra connections in the lesson, as well as suggestions for additional problems to explore. Throughout, readers will find: Clear explanations of algebraic connections Specific strategies for teaching the key ideas of algebra Lesson modifications for older or younger students An array of age-appropriate problems, games, and lessons Planting the seeds of Algebra, PreK–2 helps teachers foster mathematical habits of mind in students such as critical thinking, problem solving, adaptability, agility, communication, curiosity, and imagination. Growth in these ways of thinking and doing will transfer to other areas of education and life—raising the bar and challenging students to aspire.

Author : Daniel J. Brahier
Publisher : Routledge
Page : 963 pages
File Size : 54,6 Mb
Release : 2016-02-12
Category : Education
ISBN : 9781317412359

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Teaching Secondary and Middle School Mathematics by Daniel J. Brahier Pdf

Teaching Secondary and Middle School Mathematics combines the latest developments in research, standards, and technology with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics today. In the fully revised fifth edition, scholar and mathematics educator Daniel Brahier invites teachers to investigate the nature of the mathematics curriculum and reflect on research-based "best practices" as they define and sharpen their own personal teaching styles. The fifth edition has been updated and expanded with a particular emphasis on the continued impact of the Common Core State Standards for Mathematics and NCTM’s just-released Principles to Actions, as well as increased attention to teaching with technology, classroom management, and differentiated instruction. Features include: A full new Chapter 7 on selection and use of specific tools and technology combined with "Spotlight on Technology" features throughout clearly illustrate the practical aspects of how technology can be used for teaching or professional development. Foundational Chapters 1 and 2 on the practices and principles of mathematics education have been revised to build directly on Common Core State Standards for Mathematics and Principles to Actions, with additional references to both documents throughout all chapters. A new Chapter 4 focuses on the use of standards in writing objectives and organizing lesson plan resources while an updated Chapter 5 details each step of the lesson planning process. A fully revised Chapter 12 provides new information on teaching diverse populations and outlines specific details and suggestions for classroom management for mathematics teachers. Classroom Dialogues" features draws on the author’s 35-year experience as an educator to present real-world teacher-student conversations about specific mathematical problems or ideas "How Would You React?" features prepares future teachers for real-life scenarios by engaging them in common classroom situations and offering tried-and-true solutions. With more than 60 practical, classroom-tested teaching ideas, sample lesson and activities, Teaching Secondary and Middle School Mathematics combines the best of theory and practice to provide clear descriptions of what it takes to be an effective teacher of mathematics.

Author : Frank K. Lester
Publisher : IAP
Page : 725 pages
File Size : 42,6 Mb
Release : 2007-02-01
Category : Education
ISBN : 9781607527091

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Second Handbook of Research on Mathematics Teaching and Learning by Frank K. Lester Pdf

The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Author : Thomas A. Romberg,Thomas P. Carpenter,Fae Dremock
Publisher : Routledge
Page : 344 pages
File Size : 44,9 Mb
Release : 2005-03-23
Category : Education
ISBN : 9781135620219

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Understanding Mathematics and Science Matters by Thomas A. Romberg,Thomas P. Carpenter,Fae Dremock Pdf

The research reported in this book provides reliable evidence on and knowledge about mathematics and science instruction that emphasizes student understanding--instruction consistent with the needs of students who will be citizens in an increasingly demanding technological world. The National Center for Improving Student Learning in Mathematics and Science--established in 1996 as a research center and funded by the U.S. Department of Education--was instrumental in developing instructional practices supportive of high student achievement in and understanding of mathematics and science concepts. NCISLA researchers worked with teachers, students, and administrators to construct learning environments that exemplify current research and theory about effective learning of mathematics and science. The careful programs of research conducted examined how instructional content and design, assessment, professional development, and organizational support can be designed, implemented, and orchestrated to support the learning of all students. This book presents a summary of the concepts, findings, and conclusions of the Center's research from 1996-2001. In the Introduction, the chapters in Understanding Mathematics and Science Matters are situated in terms of the reform movement in school mathematics and school science. Three thematically structured sections focus on, respectively, research directed toward what is involved when students learn mathematics and science with understanding; research on the role of teachers and the problems they face when attempting to teach their students mathematics and science with understanding; and a collaboration among some of the contributors to this volume to gather information about classroom assessment practices and organizational support for reform. The goal of this book is to help educational practitioners, policymakers, and the general public to see the validity of the reform recommendations, understand the recommended guidelines, and to use these to transform teaching and learning of mathematics and science in U.S. classrooms.

Author : Anonim
Publisher : Unknown
Page : 336 pages
File Size : 45,9 Mb
Release : 1998
Category : Education
ISBN : PSU:000052067204

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Resources in Education by Anonim Pdf

Author : Steve Rhine,Rachel Harrington,Colin Starr
Publisher : IAP
Page : 351 pages
File Size : 53,8 Mb
Release : 2018-11-01
Category : Education
ISBN : 9781641134132

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How Students Think When Doing Algebra by Steve Rhine,Rachel Harrington,Colin Starr Pdf

Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students’ struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics’ (NCTM) call to better link research and practice by capturing what we have learned about students’ algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their experiences in the classroom. Through a Fund for the Improvement of Post-Secondary Education (FIPSE) grant, 17 teachers and mathematics educators read through the past 40 years of research on students’ algebraic thinking to capture what might be useful information for teachers to know—over 1000 articles altogether. The resulting five domains addressed in the book (Variables & Expressions, Algebraic Relations, Analysis of Change, Patterns & Functions, and Modeling & Word Problems) are closely tied to CCSS topics. Over time, veteran math teachers develop extensive knowledge of how students engage with algebraic concepts—their misconceptions, ways of thinking, and when and how they are challenged to understand—and use that knowledge to anticipate students’ struggles with particular lessons and plan accordingly. Veteran teachers learn to evaluate whether an incorrect response is a simple error or the symptom of a faulty or naïve understanding of a concept. Novice teachers, on the other hand, lack the experience to anticipate important moments in the learning of their students. They often struggle to make sense of what students say in the classroom and determine whether the response is useful or can further discussion (Leatham, Stockero, Peterson, & Van Zoest 2011; Peterson & Leatham, 2009). The purpose of this book is to accelerate early career teachers’ “experience” with how students think when doing algebra in middle or high school as well as to supplement veteran teachers’ knowledge of content and students. The research that this book is based upon can provide teachers with insight into the nature of a student’s struggles with particular algebraic ideas—to help teachers identify patterns that imply underlying thinking. Our book, How Students Think When Doing Algebra, is not intended to be a “how to” book for teachers. Instead, it is intended to orient new teachers to the ways students think and be a book that teachers at all points in their career continually pull of the shelf when they wonder, “how might my students struggle with this algebraic concept I am about to teach?” The primary audience for this book is early career mathematics teachers who don’t have extensive experience working with students engaged in mathematics. However, the book can also be useful to veteran teachers to supplement their knowledge and is an ideal resource for mathematics educators who are preparing preservice teachers.

Author : Kristine K. Fowler
Publisher : CRC Press
Page : 475 pages
File Size : 44,5 Mb
Release : 2004-05-25
Category : Language Arts & Disciplines
ISBN : 9781482276442

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Using the Mathematics Literature by Kristine K. Fowler Pdf

This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathemati

Author : Management Association, Information Resources
Publisher : IGI Global
Page : 2262 pages
File Size : 41,8 Mb
Release : 2018-11-02
Category : Education
ISBN : 9781522573067

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Pre-Service and In-Service Teacher Education: Concepts, Methodologies, Tools, and Applications by Management Association, Information Resources Pdf

As with any industry, the education sector goes through frequent changes due to modern technological advancements. It is every educator’s duty to keep up with these shifting requirements and alter their teaching style to best fit the needs of their classroom. Pre-Service and In-Service Teacher Education: Concepts, Methodologies, Tools, and Applications explores the current state of pre-service teacher programs as well as continuing education initiatives for in-service educators. It also emphasizes the growing role of technology in teacher skill development and training as well as key pedagogical developments and methods. Highlighting a range of topics such as teacher preparation programs, teaching standards, and fieldwork and practicum experiences, this multi-volume book is designed for pre-service teachers, teacher educators, researchers, professionals, and academics in the education field.

Author : Lyn D. English
Publisher : Routledge
Page : 848 pages
File Size : 49,6 Mb
Release : 2002-03
Category : Education
ISBN : 9781135665791

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Handbook of International Research in Mathematics Education by Lyn D. English Pdf

This state-of-the-art Handbook brings together important mathematics education research that makes a difference in both theory and practice--research that: anticipates problems and needed knowledge before they become impediments to progress; interprets future-oriented problems into researchable issues; presents the implications of research and theory development in forms that are useful to practitioners and policymakers; and facilitates the development of research communities to focus on neglected priorities or strategic opportunities. The volume represents a genuine attempt by contributors from around the world to advance the discipline, rather than simply review what has been done and what exists. The Handbook was developed in response to a number of major global catalysts for change, including the impact of national and international mathematics comparative assessment studies; the social, cultural, economic, and political influences on mathematics education and research; the influence of progressively sophisticated and available technology; and the increasing globalization of mathematics education and research. From these catalysts have emerged specific priority themes and issues for mathematics education research in the 21st century. Three key themes were identified for attention in this volume: life-long democratic access to powerful mathematical ideas; advances in research methodologies; and influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development as an important component of all these aspects. Dynamic and forward looking, the Handbook of International Research in Mathematics Education is distinguished by its focus on new and emerging theoretical models, perspectives, and research methodologies; its uniformly high standard of scholarship; and its emphasis on the international nature of mathematics education research. It is an essential volume for all researchers, professionals, and students interested in mathematics education research in particular and, more generally, in international developments and future directions in the broad field of educational research.

Author : Carolyn Kieran
Publisher : Springer
Page : 443 pages
File Size : 42,9 Mb
Release : 2017-12-04
Category : Education
ISBN : 9783319683515

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Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds by Carolyn Kieran Pdf

This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.