Download or read book Children s Reasoning While Building Fraction Ideas written by Carolyn A. Maher and published by Springer. This book was released on 2017-06-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book may be used for research, graduate and undergraduate teacher education, and teacher development. It presents an integrated set of studies of a heterogeneously grouped class of twenty-one nine-year olds, engaged in exploring fraction ideas prior to classroom instruction under conditions that supported investigation, collaboration and argumentation. It demonstrates with text and video narrative how young children can reason about mathematics in surprisingly sophisticated ways when provided the opportunity to do so in the proper classroom environment. In this volume, fourth grade students’ reasoning about fraction concepts is described through careful analysis and accompanying video excerpts showcasing the variety and originality of their thinking. These children will serve as an inspiration for educators to encourage the development of reasoning and argumentation in their students as part of a mathematics curriculum designed to produce critical thinkers.
Download or read book Teaching on Assessment written by Sharon L. Nichols and published by IAP. This book was released on 2021-03-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an age where the quality of teacher education programs has been called into question, it is more important than ever that teachers have a fundamental understanding of the principles of human learning, motivation, and development. Theory to Practice: Educational Psychology for Teachers and Teaching is a series for those who teach educational psychology in teacher education programs. At a time when educational psychology is at risk of becoming marginalized, it is imperative that we, as educators, “walk our talk” in serving as models of what effective instruction looks like. Each volume in the series draws upon the latest research to help instructors model fundamental principles of learning, motivation, and development to best prepare their students for the diverse, multidimensional, uncertain, and socially-embedded environments in which these future educators will teach. The inaugural volume, Teaching on Assessment, is centered on the role of assessment in teaching and learning. Each chapter translates current research on critical topics in assessment for educational psychology instructors and teacher educators to consider in their teaching of future teachers. Written for practitioners, the aim is to present contemporary issues and ideas that would help teachers engage in meaningful assessment practice. This volume is important not only because of the dwindling presence of assessment-related instructional content in teacher preparation programs, but also because the policy changes in the last two decades have transformed the meaning and use of assessment in K-12 classrooms. Praise for Teaching on Assessment "This thought-provoking book brings together perspectives from educational psychology and teacher education to examine how assessment can best support student motivation, engagement, and learning. In the volume, editors Nichols and Varier present a set of chapters written by leaders in the field to examine critical questions about how to best prepare teachers to make instructional decisions, understand assessment within the context of learning and motivation theory, and draw on assessment in ways which can meet the needs of diverse learners. Written in a highly accessible language and style, each chapter contains clear takeaway messages designed for educational psychologists, teacher educators, teachers, and pre-service teachers. This book is essential reading for anyone involved in teaching or developing our future teaching professionals." Lois R. Harris, Australian Catholic University "This impressive book provides a wealth of contemporary and engaging resources, ideas and perspectives that educational psychology instructors will find relevant for helping students understand the complexity of assessment decision-making as an essential component of instruction. Traditional assessment principles are integrated with contemporary educational psychology research that will enhance prospective teachers’ decision-making about classroom assessments that promote all students’ learning and motivation. It is unique in showing how to best leverage both formative and summative assessment to boost student engagement and achievement, enabling students to understand how to integrate practical classroom constraints and realities with current knowledge about self-regulation, intrinsic motivation, and other psychological constructs that assessment needs to consider. The chapters are written by established experts who are able to effectively balance presentation of research and theory with practical applications. Notably, the volume includes very important topics rarely emphasized in other assessment texts, including assessment literacy frameworks, diversity, equity, assessment strategies for students with special needs, and data-driven decision making. The book will be an excellent supplement for educational psychology classes or for assessment courses, introducing students to current thinking about how to effectively integrate assessment with instruction." James McMillan, Virginia Commonwealth University.
Download or read book Designing Conducting and Publishing Quality Research in Mathematics Education written by Keith R. Leatham and published by Springer Nature. This book was released on 2019-09-12 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to collect, organize and disseminate collective wisdom with respect to designing, conducting, and publishing quality research in mathematics education. This wisdom will be gleaned from among those who, over the past several decades, have been instrumental in guiding the field in the pursuit of excellence in mathematics education research—insightful editors, educative reviewers, prolific writers, and caring mentors. Each chapter is written to the novice researcher with the intent of aiding them in avoiding common pitfalls, navigating difficult intellectual terrain, and understanding that they are not alone in experiencing rejection, frustration, confusion, and doubt. This book differs from existing literature in the sense that it is written about the enterprise of designing, conducting and publishing research in mathematics education as opposed to being reports of the results of such work. It also differs in the sense that it is written with the intent to mentor the rising generation as opposed to capture the state of the field (as would happen in a handbook, for example). It is written for the express purpose of helping the field work collectively to aid in the often isolated enterprise of mentoring new researchers. The primary audience is a potentially wide one: graduate students, novice researchers, graduate faculty, advisors, and mentors – or anyone seeking to improve their own abilities to design, conduct, and publish quality research in mathematics education.
Download or read book Enabling Mathematics Learning of Struggling Students written by Yan Ping Xin and published by Springer Nature. This book was released on 2022-07-11 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides prospective and practicing teachers with research insights into the mathematical difficulties of students with learning disabilities and classroom practices that address these difficulties. This linkage between research and practice celebrates teachers as learners of their own students’ mathematical thinking, thus contributing an alternative view of mathematical progression in which students are taught conceptually. The research-based volume presents a unique collaboration among researchers in special education, psychology, and mathematics education from around the world. It reflects an ongoing work by members of the International Group for the Psychology of Mathematics Education (PME) and the North American Chapter of the PME Working Groups. The authors of chapters in this book, who have been collaborating extensively over the past 7 years, are from Australia, Canada, the United Kingdom, and the United States.
Download or read book Language Literacy and Learning in the STEM Disciplines written by Alison L. Bailey and published by Routledge. This book was released on 2018-02-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on what mathematics and science educators need to know about academic language used in the STEM disciplines, this book critically synthesizes the current knowledge base on language challenges inherent to learning mathematics and science, with particular attention to the unique issues for English learners. These key questions are addressed: When and how do students develop mastery of the language registers unique to mathematics and to the sciences? How do teachers use assessment as evidence of student learning for both accountability and instructional purposes? Orienting each chapter with a research review and drawing out important Focus Points, chapter authors examine the obstacles to and latest ideas for improving STEM literacy, and discuss implications for future research and practice.
Download or read book Children s Fractional Knowledge written by Leslie P. Steffe and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children’s Fractional Knowledge elegantly tracks the construction of knowledge, both by children learning new methods of reasoning and by the researchers studying their methods. The book challenges the widely held belief that children’s whole number knowledge is a distraction from their learning of fractions by positing that their fractional learning involves reorganizing—not simply using or building upon—their whole number knowledge. This hypothesis is explained in detail using examples of actual grade-schoolers approaching problems in fractions including the schemes they construct to relate parts to a whole, to produce a fraction as a multiple of a unit part, to transform a fraction into a commensurate fraction, or to combine two fractions multiplicatively or additively. These case studies provide a singular journey into children’s mathematics experience, which often varies greatly from that of adults. Moreover, the authors’ descriptive terms reflect children’s quantitative operations, as opposed to adult mathematical phrases rooted in concepts that do not reflect—and which in the classroom may even suppress—youngsters’ learning experiences. Highlights of the coverage: Toward a formulation of a mathematics of living instead of being Operations that produce numerical counting schemes Case studies: children’s part-whole, partitive, iterative, and other fraction schemes Using the generalized number sequence to produce fraction schemes Redefining school mathematics This fresh perspective is of immediate importance to researchers in mathematics education. With the up-close lens onto mathematical development found in Children’s Fractional Knowledge, readers can work toward creating more effective methods for improving young learners’ quantitative reasoning skills.
Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2006-08-15 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
Download or read book Number Talks written by Sherry Parrish and published by Math Solutions. This book was released on 2010 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A multimedia professional learning resource"--Cover.
Download or read book The Cambridge Handbook of Cognition and Education written by John Dunlosky and published by Cambridge University Press. This book was released on 2019-02-07 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2006-08-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
Download or read book Primary Mathematics written by Penelope Baker and published by Cambridge University Press. This book was released on 2023-08-31 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primary Mathematics: Integrating Theory with Practice is a comprehensive introduction to teaching mathematics in Australian primary schools. Closely aligned with the Australian Curriculum, it provides a thorough understanding of measurement, geometry, patterns and algebra, data and statistics, and chance and probability. The fourth edition provides support for educators in key aspects of teaching: planning, assessment, digital technologies, diversity in the classroom and integrating mathematics content with other learning areas. It also features a new chapter on the role of education support in the mathematics classroom. Each chapter has been thoroughly revised and is complemented by classroom snapshots demonstrating practical application of theories, activities to further understanding and reflection questions to guide learning. New in this edition are 'Concepts to consider', which provide a guided explanation and further discussion of key concepts to support pre- and in-service teachers' learning and teaching of the fundamentals of mathematics.
Download or read book Proficiency and Beliefs in Learning and Teaching Mathematics written by Yeping Li and published by Springer Science & Business Media. This book was released on 2013-09-04 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efforts to improve mathematics education have led educators and researchers to not only study the nature of proficiency, beliefs, and practices in mathematics learn¬ing and teaching, but also identify and assess possible influences on students’ and teachers’ proficiencies, beliefs, and practices in learning and teaching mathematics. The complexity of these topics has fascinated researchers from various back¬grounds, including psychologists, cognitive or learning scientists, mathematicians, and mathematics educators. Among those researchers, two scholars with a similar background – Alan Schoenfeld in the United States and Günter Törner in Germany, are internationally recognized for their contributions to these topics. To celebrate their 65th birthdays in 2012, this book brought together many scholars to reflect on how their own work has built upon and continued Alan and Günter’s work in mathematics education. The book contains 17 chapters by 33 scholars from six different education systems. This collection describes recent research and provides new insights into these topics of interest to mathematics educators, researchers, and graduate students who wish to learn about the trajectory and direction of research on these issues.
Download or read book The Development of Children s Fraction Thinking in a First grade Classroom written by Susan Carol Baker and published by . This book was released on 1994 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mindstorms written by Seymour A Papert and published by Basic Books. This book was released on 2020-10-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this revolutionary book, a renowned computer scientist explains the importance of teaching children the basics of computing and how it can prepare them to succeed in the ever-evolving tech world. Computers have completely changed the way we teach children. We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers. Technology changes every day, but the basic ways that computers can help us learn remain. For thousands of teachers and parents who have sought creative ways to help children learn with computers, Mindstorms is their bible.
Download or read book Teaching Children Mathematics written by and published by . This book was released on 2009-08 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Distributed Ambient and Pervasive Interactions written by Norbert A. Streitz and published by Springer Nature. This book was released on 2023-07-08 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Distributed, Ambient and Pervasive Interactions, DAPI 2023, held as part of the 25th International Conference on Human-Computer Interaction, HCII 2023, which took place as an hybrid event in Copenhagen, Denmark, in July 2023. A total of 1578 papers and 396 posters have been accepted for publication in the HCII 2023 proceedings from a total of 7472 submissions. The 60 papers included in the DAPI 2023 proceedings were organized in topical sections as follows: Part I: Designing and evaluating intelligent environments; user experience in intelligent environments; pervasive data; Part II: Smart cities and environment preservation; media, art and culture in intelligent environments; supporting health, learning, work and everyday life.
