Download or read book Improving Instruction in Algebra written by Margaret Schwan Smith and published by . This book was released on 2005 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping students develop an understanding of mathematical ideas is a persistent challenge for teachers. This work focuses on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency.
Download or read book Improving Instruction in Geometry and Measurement written by Margaret Schwan Smith and published by Teachers College Press. This book was released on 2005-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Download or read book Improving Instruction in Rational Numbers and Proportionality written by Margaret Schwan Smith and published by Teachers College Press. This book was released on 2005-01-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Download or read book Learning to Love Math written by Judy Willis and published by ASCD. This book was released on 2010-09-09 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity. With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to * Improve deep-seated negative attitudes toward math. * Plan lessons with the goal of "achievable challenge" in mind. * Reduce mistake anxiety with techniques such as errorless math and estimation. * Teach to different individual learning strengths and skill levels. * Spark motivation. * Relate math to students' personal interests and goals. * Support students in setting short-term and long-term goals. * Convince students that they can change their intelligence. With dozens of strategies teachers can use right now, Learning to Love Math puts the power of research directly into the hands of educators. A Brain Owner's Manual, which dives deeper into the structure and function of the brain, is also included—providing a clear explanation of how memories are formed and how skills are learned. With informed teachers guiding them, students will discover that they can build a better brain . . . and learn to love math!
Download or read book Effective Math Interventions written by Robin S. Codding and published by Guilford Publications. This book was released on 2017-02-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building foundational whole-number knowledge can help put K-5 students on the path to academic success and career readiness. Filling a gap for school practitioners, this book presents step-by-step guidelines for designing and implementing classwide, small-group, and individual interventions for mathematics difficulties. Effective procedures for screening, assessment, intervention selection, and progress monitoring are described and illustrated with detailed case vignettes. User-friendly features include 20 reproducible handouts and forms; the print book has a large-size format with lay-flat binding for easy photocopying. Purchasers get access to a Web page where they can download and print the reproducible materials. This book is in The Guilford Practical Intervention in the Schools Series, edited by T. Chris Riley-Tillman.
Download or read book Algebra Out Loud written by Pat Mower and published by Jossey-Bass. This book was released on 2003-11-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALGEBRA OUT LOUD Learning Mathematics Through Reading and Writing Activities Algebra Out Loud is a unique resource designed for mathematics instructors who are teaching Algebra I and II. This easy-to-use resource is filled with illustrative examples, strategies, activities, and lessons that will help students more easily understand mathematical text and learn the skills they need to effectively communicate mathematical concepts. Algebra Out Loud's strategies and activities will give students the edge in learning how to summarize, analyze, present, utilize, and retain mathematical content. The book offers proven writing activities that will engage the students in writing about algebraic vocabulary, processes, theorems, definitions, and graphs. Algebra Out Loud gives teachers the tools they need to help their students learn how to communicate about math ideas between student and teacher, student and peers, and student and the wider world. For quick access and easy use, the activities are printed in a big 8-1/2" x 11" format for photocopying and are organized into eight chapters. PREREADING STRATEGIES AND ACTIVITIES: Knowledge Ratings . . . Anticipation Guides . . . Problem Solving Prep . . . Wordsmithing. READING AND VOCABULARY BUILDING STRATEGIES AND ACTIVITIES: Magic Square Activity . . . Concept Circles . . . K-W-L . . . Semantic Feature Analysis . . . Graphic Organizers . . . Reading Math Symbols . . . Proof-Reading . . . Semantic Word Map. POSTREADING STRATEGIES AND ACTIVITIES: Group Speak . . . Concept Cards . . . Fryer Model . . . Question-Answer Relationship (QAR) . . . Comparison and Contrast Matrix. READINGS IN MATHEMATICS: The Secret Society of Pythagoreans: An Ancient Cult . . . Marathon Math . . . Egyptian Multiplication. WRITING TO UNDERSTAND ALGEBRA: In Your Own Words: Paraphrasing Activity . . . Methods of Operation . . . Graph Description Activity . . . Crib Sheets . . . Math Story Activity . . . Math Ads . . . The Writing Is on the Wall . . . Creating a Math Mnemonics . . . Creation of Written Problems (or Fat Men in Pink Leotards) . . . Math Concept Paragraphs . . . Math Biographies . . . Experimenting to Learn Algebra Reports . . . Concept Math . . . Learning Log. WRITING TO COMMUNICATE ALGEBRA: Writing Across Campus . . . Group Exposition . . . Guided Math Poetry . . . Math Letters . . . Math Poetry . . . Math Journals . . . Mathematical Investigator. WRITING AS AUTHENTIC ASSESSMENT: Muddiest Point . . . Math Analogies . . . One-Minute Summary . . . Math Is a Four Letter Word . . . E-Writing . . . Math Similes, Metaphors, and Analogies . . . Targeted Problem Solving Assessments. WRITING FOR ASSESSMENT: Math Portfolio . . . Math Essay . . . Write Question . . . Math Posters.
Download or read book Teaching School Mathematics Pre Algebra written by Hung-Hsi Wu: and published by American Mathematical Soc.. This book was released on 2016-06-29 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion. For example, it gives a precise definition of percent and explains how to use the definition to do all the standard problems about percent in an entirely routine manner. It also gives a leisurely explanation for “negative times negative is positive”. Another key feature is an intuitive introduction to plane geometry via rotations, translations, reflections, and dilations that, instead of treating these transformations as merely fun activities, shows how they make sense of the usual geometric topics in middle school, including congruence, similarity, length, area, and volume. In short, the readers will find in this volume a clear explanation of whatever was once puzzling to them in the mathematics of grades 5 to 8.
Download or read book Strengths Based Teaching and Learning in Mathematics written by Beth McCord Kobett and published by Corwin. This book was released on 2020-02-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.
Download or read book The Algebra Solution to Mathematics Reform written by Frances R. Spielhagen and published by Teachers College Press. This book was released on 2011-06-25 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we increase mathematics achievement among all students? This book provides a straightforward explanation of how changing mathematics tracking policies to provide algebra instruction to all students by at least eighth grade can bring about changes in both student achievement and teacher performance. Featuring interviews with students and teachers, The author chronicles the success of a large school district that changed the way mathematics was delivered and increased success rates across all populations.
Download or read book Vital Directions for Mathematics Education Research written by Keith R Leatham and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics Professional Development written by Hilda Borko and published by Teachers College Press. This book was released on 2015 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource will help school leaders and other professional development providers conduct ongoing, structured learning opportunities for mathematics teachers (K–12). The authors present models for professional development and the preparation of PD leaders designed and field-tested as part of two research projects supported by the National Science Foundation. The Problem-Solving Cycle model and the Mathematics Leadership Preparation model focus on topics of primary interest to mathematics teachers—mathematics content, classroom instruction, and student learning. They are intentionally designed so that they can be tailored to meet the needs and interests of participating teachers and schools. Through engaging vignettes, the authors describe the models, summarize key research findings, and share lessons learned. The book also includes detailed examples of workshop activities for both teachers and PD leaders. Book Features: Supports teachers’ learning and teaching of math in line with current reform principles.Develops math teachers’ capacity to foster students’ learning of the CCSSM content and practices.Prepares teacher leaders to facilitate professional development.Illustrates the use of video as part of professional development.Includes examples of workshop activities for teachers and teacher leaders. “This book presents an approach to teacher professional learning that integrates many popular ideas in the field, such as teacher leadership, evidence-based practice, and teacher learning communities. It avoids the superficiality that plagues so many treatments of these themes, offering readers depth, substance, detail, and clarity. This will surely be a valuable resource for educational leaders and professional development specialists seeking research-based ways to assist teachers to engage effectively in ambitious mathematics instruction that enables students to understand mathematics deeply and to use it effectively to solve problems.” —Edward A. Silver, William A. Brownell Collegiate Professor of Education & Professor of Mathematics, University of Michigan “Mathematics Professional Development delivers the details we need but can rarely access. The authors detail a research-based, principled approach to school-based professional development that supports teachers in taking on the continual improvement of their practice.” —Megan Franke, professor, UCLA
Download or read book How to Teach Mathematics Second Edition written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 1999 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues. Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner. The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplines--from music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.
Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.
Download or read book Making Sense of Mathematics for Teaching High School written by Edward C. Nolan and published by Solution Tree Press. This book was released on 2016-05-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index
Download or read book Making Sense of Mathematics for Teaching Grades 3 5 written by Juli K. Dixon and published by Solution Tree Press. This book was released on 2016-04-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals
Download or read book Improving Mathematics Education written by National Research Council and published by National Academies Press. This book was released on 2002-01-28 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Making the Connection written by Marilyn Paula Carlson and published by MAA. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
