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Author : Caroline Long
Publisher :
ISBN 13 : 9783830932895
Total Pages : 248 pages
Book Rating : 4.9/5 (328 download)
Download or read book Learning Pathways Within the Multiplicative Conceptual Field written by Caroline Long and published by . This book was released on 2015-08 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Caroline Long
Publisher : Waxmann Verlag
ISBN 13 : 3830982895
Total Pages : 248 pages
Book Rating : 4.8/5 (39 download)
Download or read book Learning Pathways within the Multiplicative Conceptual Field written by Caroline Long and published by Waxmann Verlag. This book was released on 2015 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transition from whole numbers to rational numbers and the associated mastery of the multiplicative conceptual field constitute an important development in lower secondary schooling. This study draws primarily on the theory of conceptual fields as a framework that is mathematical and enables a cognitive perspective by identifying the concepts- and theorems-in-action that lead to underlying concepts and theorems. Application of the Rasch model configures the location of both item difficulty and learner proficiency on one scale. Diagnostics explore the validity of the instrument for measurement. The ordering of items enables the analysis of hierarchical conceptual strands and additional insights into the mastery of concepts by subsets of learners at particular levels. The resulting matrix, of interactions of learner proficiency and item complexity, provides an overview of the concepts attained and not yet mastered. These insights permit teacher interventions specific to each learner subset at a shared common current zone of proximal development along the scale. Caroline Long has received her doctorate in Mathematics Education from the University of Cape Town in 2011 and is Senior Lecturer in the Faculty of Education at the University of Pretoria, where she is responsible for teaching mathematics education courses, and modules on assessment. She is also Deputy Director at the Centre for Evaluation and Assessment. Her primary research foci are mathematics education, professional development, teacher agency and assessment. Current work relies on collaboration with researchers at other South African institutions, and in Australia, Canada, England, Germany, India, the Netherlands, Scotland and the USA.
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Author : Kimberly Morrow-Leong
Publisher : Corwin Press
ISBN 13 : 1071819879
Total Pages : 265 pages
Book Rating : 4.0/5 (718 download)
Download or read book Mathematize It! [Grades 6-8] written by Kimberly Morrow-Leong and published by Corwin Press. This book was released on 2020-08-21 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 6–8 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 6–8: · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for multiplication and division, fractions and decimals, as well as operations with rational numbers · Demonstrates the use of visual representations to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!
Author : Guershon Harel
Publisher : State University of New York Press
ISBN 13 : 1438405804
Total Pages : 448 pages
Book Rating : 4.4/5 (384 download)
Download or read book The Development of Multiplicative Reasoning in the Learning of Mathematics written by Guershon Harel and published by State University of New York Press. This book was released on 1994-06-28 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.
Author : Annemarie Fritz
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110662760
Total Pages : 360 pages
Book Rating : 4.1/5 (16 download)
Download or read book Diversity Dimensions in Mathematics and Language Learning written by Annemarie Fritz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-08 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive research is available on language acquisition and the acquisition of mathematical skills in early childhood. But more recently, research has turned to the question of the influence of specific language aspects on acquisition of mathematical skills. This anthology combines current findings and theories from various disciplines such as (neuro-)psychology, linguistics, didactics and anthropology.
Author :
Publisher : BRILL
ISBN 13 : 900439141X
Total Pages : 249 pages
Book Rating : 4.0/5 (43 download)
Download or read book STEM Education: An Emerging Field of Inquiry written by and published by BRILL. This book was released on 2018-11-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a contemporary focus on significant issues in STEM teaching, learning and research that are valuable in preparing students for a digital 21st century. The book chapters cover a wide spectrum of issues and topics using a wealth of research methodologies and methods.
Author : Bloomsbury Publishing
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0313379319
Total Pages : 598 pages
Book Rating : 4.3/5 (133 download)
Download or read book The Greenwood Dictionary of Education written by Bloomsbury Publishing and published by Bloomsbury Publishing USA. This book was released on 2011-07-19 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book defines over 3,000 terms from the field of education to assist those charged with teaching students to become global citizens in a rapidly changing, technological society. John W. Collins and Nancy Patricia O'Brien, coeditors of the first edition of The Greenwood Dictionary of Education published in 2003, have acknowledged and addressed these shifts. This revised second edition supplements the extensive content of the first through greater focus on subjects such as neurosciences in educational behavior, gaming strategies as a learning technique, social networking, and distance education. Terms have been revised, where necessary, to represent changes in educational practice and theory. The Dictionary's focus is on current and evolving terminology specific to the broad field of education, although terms from closely related fields used in the context of education are also included. Encompassing the history of education as well as its future trends, the updated second edition will aid in the understanding and use of terms as they apply to contemporary educational research, practice, and theory.
Author : Rongjin Huang
Publisher : Springer
ISBN 13 : 9463007822
Total Pages : 460 pages
Book Rating : 4.4/5 (63 download)
Download or read book Teaching and Learning Mathematics through Variation written by Rongjin Huang and published by Springer. This book was released on 2017-02-06 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Efforts to improve mathematics teaching and learning globally have led to the ever-increasing interest in searching for alternative and effective instructional approaches from others. Students from East Asia, such as China and Japan, have consistently outperformed their counterparts in the West. Yet, Bianshi Teaching (teaching with variation) practice, which has been commonly used in practice in China, has been hardly shared in the mathematics education community internationally. This book is devoted to theorizing the Chinese mathematical teaching practice, Bianshi teaching, that has demonstrated its effectiveness over half a century; examining its systematic use in classroom instruction, textbooks, and teacher professional development in China; and showcasing of the adaptation of the variation pedagogy in selected education systems including Israel, Japan, Sweden and the US. This book has made significant contributions to not only developing the theories on teaching and learning mathematics through variation, but also providing pathways to putting the variation theory into action in an international context.“This book paints a richly detailed and elaborated picture of both teaching mathematics and learning to teach mathematics with variation. Teaching with variation and variation as a theory of learning are brought together to be theorized and exemplified through analysis of teaching in a wide variety of classrooms and targeting both the content and processes of mathematical thinking. Highly recommended.” – Kaye Stacey, Emeritus Professor of Mathematics Education, University of Melbourne, Australia “Many teachers in England are excited by the concept of teaching with variation and devising variation exercises to support their pupils’ mastery of mathematics. However, fully understanding and becoming proficient in its use takes time. This book provides a valuable resource to deepen understanding through the experiences of other teachers shared within the book and the insightful reflections of those who have researched this important area. – Debbie Morgan, Director for Primary Mathematics, National Centre for Excellence in the Teaching of Mathematics, United Kingdom"
Author : Fabrice Vandebrouck
Publisher : Springer Science & Business Media
ISBN 13 : 9462092818
Total Pages : 253 pages
Book Rating : 4.4/5 (62 download)
Download or read book Mathematics Classrooms: Students’ Activities and Teachers’ Practices written by Fabrice Vandebrouck and published by Springer Science & Business Media. This book was released on 2013-09-03 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: With cooperation of Aline Robert, Janine Rogalski, Maha Abboud-Blanchard, Claire Cazes, Monique Chappet-Pariès, Aurélie Chesnais, Christophe Hache, Julie Horoks, Eric Roditi & Nathalie Sayac. This book presents unique insights into a significant area of French research relating the learning and teaching of mathematics in school classrooms and their development. Having previously had only glimpses of this work, I have found the book fascinating in its breadth of theory, its links between epistemological, didactic and cognitive perspectives and its comprehensive treatment of student learning of mathematics, classroom activity, the work of teachers and prospective teacher development. Taking theoretical perspectives as their starting points, the authors of this volume present a rich array of theoretically embedded studies of mathematics teaching and learning in school classrooms. Throughout this book the reader is made aware of many unanswered questions and challenged to consider associated theoretical and methodological issues. For English-speaking communities who have lacked opportunity to access the French literature the book opens up a wealth of new ways of thinking about and addressing unresolved issues in mathematics learning, teaching and teacher education. I recommend it wholeheartedly! (Extract from Barbara Jaworski’s preface.)
Author : Information Resources Management Association
Publisher : IGI Global
ISBN 13 : 1466673648
Total Pages : 1629 pages
Book Rating : 4.4/5 (666 download)
Download or read book STEM Education written by Information Resources Management Association and published by IGI Global. This book was released on 2014-12-31 with total page 1629 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This reference brings together an impressive array of research on the development of Science, Technology, Engineering, and Mathematics curricula at all educational levels"--Provided by publisher.
Author :
Publisher : Yishay Mor
ISBN 13 :
Total Pages : 293 pages
Book Rating : 4./5 ( download)
Download or read book A Design Approach to Research in Technology Enhanced Mathematics Education written by and published by Yishay Mor. This book was released on 2010 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Thesis Submitted for the Degree of Doctor of Philosophy, Institute of Education - University of London
Author : Elizabeth T. Hulbert
Publisher : Taylor & Francis
ISBN 13 : 1000886166
Total Pages : 276 pages
Book Rating : 4.0/5 (8 download)
Download or read book A Focus on Multiplication and Division written by Elizabeth T. Hulbert and published by Taylor & Francis. This book was released on 2023-07-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book offers a unique approach to making mathematics education research on the teaching and learning of multiplication and division concepts readily accessible and understandable to preservice and in-service K-6 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction, and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP) and updated throughout, this engaging and easy-to-use resource also features the following: New chapters on the OGAP Multiplicative Reasoning Framework and Learning Progressions and Using the OGAP Multiplicative Progression to inform instruction and support student learning In-chapter sections on how Common Core State Standards for Math are supported by math education research Case Studies focusing on a core mathematical idea and different types of instructional responses to illustrate how teachers can elicit evidence of student thinking and use that information to inform instruction Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students Instructional Links to help teachers relate concepts from each chapter to their own instructional materials and programs Accompanying online Support Material that includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression A Focus on Multiplication and Division is part of the popular A Focus on . . . collection, designed to aid the professional development of preservice and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and fractions, this updated new edition bridges the gap between what math education researchers know and what teachers need to know to better understand evidence in student work and make effective instructional decisions.
Author : Ryan, Julie
Publisher : McGraw-Hill Education (UK)
ISBN 13 : 0335220428
Total Pages : 262 pages
Book Rating : 4.3/5 (352 download)
Download or read book Children'S Mathematics 4-15: Learning From Errors And Misconceptions written by Ryan, Julie and published by McGraw-Hill Education (UK). This book was released on 2007-04-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work uses data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It develops concepts for teachers to use in organising their understanding and knowledge of children's mathematics, and concludes with theoretical accounts of learning and teaching.
Author : Katherine Safford-Ramus
Publisher : Springer
ISBN 13 : 3319965026
Total Pages : 309 pages
Book Rating : 4.3/5 (199 download)
Download or read book Contemporary Research in Adult and Lifelong Learning of Mathematics written by Katherine Safford-Ramus and published by Springer. This book was released on 2018-08-17 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a selection of 15 papers developed by participants in ICME 13 held in Hamburg , presenting insights from the latest research on the andragogy of adult and lifelong learning of mathematics. It also investigates open questions, such as numeracy and mathematics skills, social and psychological influences on learning environments, as well as economic and political demands. The chapters offer examples, while at the same time highlighting important directions for further research. The book is divided into four parts: The first section provides an overview on the concept of “numeracy”, and the second focuses on adult students who are learning mathematics; the third part presents a teachers’ focus and the final part covers overarching themes. The book is of interest to classroom teachers, university teacher educators, and professional development providers.
Author : Iliada Elia
Publisher : Springer
ISBN 13 : 3319734326
Total Pages : 326 pages
Book Rating : 4.3/5 (197 download)
Download or read book Contemporary Research and Perspectives on Early Childhood Mathematics Education written by Iliada Elia and published by Springer. This book was released on 2018-02-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together a collection of research-based papers on current issues in early childhood mathematics education that were presented in the Topic Study Group 1 (TSG 1) at the 13th International Congress on Mathematical Education (ICME-13), held at the University of Hamburg in 2016. It will help readers understand a range of key issues that early childhood mathematics educators encounter today. Research on early childhood mathematics education has grown in recent years, due in part to the well-documented, positive relation between children’s early mathematical knowledge and their later mathematics learning, and to the considerable emphasis many countries are now placing on preschool education. The book addresses a number of central questions, including: What is mathematical structural development and how can we promote it in early childhood? How can multimodality and embodiment contribute to early mathematics learning and to acquiring a better understanding of young children’s mathematical development? How can children’s informal mathematics-related experiences affect instruction and children’s learning in different mathematics content areas? What is the role of tools, including technology and picture books, in supporting early mathematics learning? What are the challenges in early childhood mathematics education for teachers’ education and professional development?
Author : Nicole Barnes
Publisher : Routledge
ISBN 13 : 1351676911
Total Pages : 198 pages
Book Rating : 4.3/5 (516 download)
Download or read book Cases of Teachers' Data Use written by Nicole Barnes and published by Routledge. This book was released on 2018-04-27 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cases of Teachers’ Data Use addresses applications of student data beyond theoretical, school-, and district-level examinations by presenting case studies of teachers’ data use in practice. Within the context of data-driven education reform policies, the authors examine the effective and ineffective ways that teachers make use of student data in instruction, evaluation, and planning. Promising practices, based on the empirical research presented, offer strategies and routines for sound data use that can be applied in schools. Chapters written by scholars from diverse methodological perspectives offer readers multiple lenses to use in considering issues of data use such that current theoretical assumptions may be challenged and the field advanced. This uniquely focused yet comprehensive work is an indispensable resource for researchers and students interested in classroom assessment and for professionals looking to support teachers’ use of student performance data for adaptive instruction.
Author :
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings, Fifteenth PME Conference written by and published by . This book was released on 1991 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
