Download or read book The Learning and Teaching of Algebra written by Abraham Arcavi and published by Routledge. This book was released on 2016-06-23 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the "problématique" of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides.
Download or read book The Future of the Teaching and Learning of Algebra written by Kaye Stacey and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia Abstract: This section reports on the organisation‚ procedures‚ and publications of the ICMI Study‚ The Future of the Teaching and Learning of Algebra. Key words: Study Conference‚ organisation‚ procedures‚ publications The International Commission on Mathematical Instruction (ICMI) has‚ since the 1980s‚ conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar‚ the “Study Conference”‚ and culminates in a published volume intended to promote and assist discussion and action at the international‚ national‚ regional‚ and institutional levels. The ICMI Study running from 2000 to 2004 was on The Future of the Teaching and Learning of Algebra‚ and its Study Conference was held at The University of Melbourne‚ Australia fromDecember to 2001. It was the first study held in the Southern Hemisphere. There are several reasons why the future of the teaching and learning of algebra was a timely focus at the beginning of the twenty first century. The strong research base developed over recent decades enabled us to take stock of what has been achieved and also to look forward to what should be done and what might be achieved in the future. In addition‚ trends evident over recent years have intensified. Those particularly affecting school mathematics are the “massification” of education—continuing in some countries whilst beginning in others—and the advance of technology.
Download or read book Teaching and Learning Algebra written by Heidi Strømskag Måsøval and published by Springer. This book was released on 2016-05-04 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is based on a longitudinal study of beginning teachers' struggles with algebra, with strong foundation in the theory of didactical situations (Brousseau, 1997). The focus is on factors that constrain students’ engagement with algebraic generality in shape patterns. Participants in the study are six student teachers and two teacher educators of mathematics. The empirical material consists of videotaped classroom observations and the mathematical tasks with which the students engaged. Three analytic categories emerged from an open coding process which show that the students’ algebraic generalization is constrained by: 1) a limited feedback potential in situations where the students are supposed to solve the mathematical tasks without teacher intervention; 2) obstacles the students face when they shall transform into algebraic notation formulae they have expressed informally in natural language; and, 3) challenges with justification of formulae and mathematical statements that the students have proposed. This book provides many practical and concrete examples to guide mathematics education researchers, mathematics teacher educators, and mathematics educators in teaching algebra in a variety of contexts and environments.
Download or read book Research Issues in the Learning and Teaching of Algebra written by Sigrid Wagner and published by Routledge. This book was released on 2016-11-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1989. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Early Algebra written by Carolyn Kieran and published by Springer. This book was released on 2016-07-11 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.
Download or read book Educational Algebra written by Eugenio Filloy and published by Springer Science & Business Media. This book was released on 2007-10-12 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a theoretical perspective on the study of school algebra, in which both semiotics and history occur. The Methodological design allows for the interpretation of specific phenomena and the inclusion of evidence not addressed in more general treatments. The book gives priority to "meaning in use" over "formal meaning". These approaches and others of similar nature lead to a focus on competence rather than a user’s activity with mathematical language.
Download or read book Teaching and Learning Algebraic Thinking with 5 to 12 Year Olds written by Carolyn Kieran and published by Springer. This book was released on 2017-12-04 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Tasks and Competencies in the Teaching and Learning of Algebra written by Alex Friedlander and published by National Council of Teachers of English. This book was released on 2018-02-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tasks and Competencies in the Teaching and Learning of Algebra provides a conceptual approach that will encourage students learning algebra to employ a variety of thinking processes and strategies and, most importantly, will enable them to truly understand the concepts that underlie the problems they are solving. The authors' framework develops those skills and competencies, aligned with the goals of the Common Core State Standards, that are necessary for an integrated, conceptual learning of algebra. The book's four chapters include tasks focusing on algebraic expressions, equations, and functions, followed by tasks that integrate several mathematical concepts. Each of the 48 tasks in this book contains: a classroom-ready task, with items arranged by increasing order of complexity a discussion of the task's main ideas and objectives solutions for each item in the task, with suggestions of various methods that students might use; and a listing of the essential competencies that students can develop by working on the task. All 48 tasks are also available at NCTM's More4U website as downloadable and printable worksheets to hand out to students. With its strong conceptual framework, Tasks and Competencies in the Teaching and Learning of Algebra is designed to enable teachers, teacher educators, and curriculum designers to help students at all levels master the ideas and practices found in algebra and to develop skills they can use throughout their mathematics education.
Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On the Teaching of Linear Algebra written by J.-L. Dorier and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It provides university teachers in charge of linear algebra courses with a wide range of information from works including theoretical and experimental issues.
Download or read book Algebra in the Early Grades written by James J. Kaput and published by Routledge. This book was released on 2017-09-25 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.
Download or read book Challenges and Strategies in Teaching Linear Algebra written by Sepideh Stewart and published by Springer. This book was released on 2018-02-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from a Discussion Group (Teaching Linear Algebra) that was held at the 13th International Conference on Mathematics Education (ICME-13). The aim was to consider and highlight current efforts regarding research and instruction on teaching and learning linear algebra from around the world, and to spark new collaborations. As the outcome of the two-day discussion at ICME-13, this book focuses on the pedagogy of linear algebra with a particular emphasis on tasks that are productive for learning. The main themes addressed include: theoretical perspectives on the teaching and learning of linear algebra; empirical analyses related to learning particular content in linear algebra; the use of technology and dynamic geometry software; and pedagogical discussions of challenging linear algebra tasks. Drawing on the expertise of mathematics education researchers and research mathematicians with experience in teaching linear algebra, this book gathers work from nine countries: Austria, Germany, Israel, Ireland, Mexico, Slovenia, Turkey, the USA and Zimbabwe.
Download or read book Teaching Early Algebra Through Example Based Problem Solving written by Meixia Ding and published by Routledge. This book was released on 2023-01-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS). Recognizing young children's particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students' responses to example-based instruction, the text demonstrates that this TEPS approach - which involves the use of worked examples, representations, and deep questions - helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest.
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 The Algebra Teacher s Guide to Reteaching Essential Concepts and Skills written by Judith A. Muschla and published by John Wiley & Sons. This book was released on 2011-11-15 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Easy to apply lessons for reteaching difficult algebra concepts Many students have trouble grasping algebra. In this book, bestselling authors Judith, Gary, and Erin Muschla offer help for math teachers who must instruct their students (even those who are struggling) about the complexities of algebra. In simple terms, the authors outline 150 classroom-tested lessons, focused on those concepts often most difficult to understand, in terms that are designed to help all students unravel the mysteries of algebra. Also included are reproducible worksheets that will assist teachers in reviewing and reinforcing algebra concepts and key skills. Filled with classroom-ready algebra lessons designed for students at all levels The 150 mini-lessons can be tailored to a whole class, small groups, or individual students who are having trouble This practical, hands-on resource will help ensure that students really get the algebra they are learning
Download or read book Handbook of Research on Mathematics Teaching and Learning written by Douglas Grouws and published by IAP. This book was released on 2006-11-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.
