Download or read book Research in Mathematics Education in Australasia 2008 2011 written by Bob Perry and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eighth edition of the four-yearly review of mathematics education research in Australasia. Commissioned by the Mathematics Education Research Group of Australasia (MERGA), this review critiques the most current Australasian research in mathematics education in the four years from 2008-2011. The main objective of this review is to celebrate and recognise significant findings; highlight relationships between research; identify themes; and forecast further research directions. This theme-based review has produced a comprehensive analysis of Australasian research in a politically challenging time—producing a manuscript with implications for a wider, international, audience. As the 2009 Felix Klein medal winner Gilah Leder states: A substantial body of research is captured in the chapters of this review. It encompasses the labours of a community of active researchers, with varied interests and diverse theoretical perspectives. Some of the issues explored in the period covered by this volume clearly resonate with questions and concerns particularly pertinent to the changing educational environment; others are more aptly described as continuing or renewed explorations of areas of long standing concern.

Download or read book Third International Handbook of Mathematics Education written by M.A. (Ken) Clements and published by Springer Science & Business Media. This book was released on 2012-11-15 with total page 1119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​

Download or read book Teaching with Tasks for Effective Mathematics Learning written by Peter Sullivan and published by Springer Science & Business Media. This book was released on 2012-09-12 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book is about how teachers can use classroom mathematics tasks to support student learning, and presents data on the ways in which teachers used those tasks in a particular research project. It is the product of research findings focusing on teacher practice, teacher learning and knowledge, and student learning. It demonstrates how teachers can use mathematics tasks to promote effective student learning.​

Download or read book Mathematics at the Margins written by Elizabeth Warren and published by Springer. This book was released on 2016-03-17 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports the impact a four-year longitudinal study (Representations, Oral Language and Engagement in Mathematics (RoleM)) had on teachers and students from 16 schools in disadvantaged contexts. It offers theories with regard to the interplay between teaching and learning mathematics as teachers and students in these contexts implement a mathematics program. The data are longitudinal, drawn from 154 teachers and their students (up to 1738 students) from the first four years of school (Foundation to Year 3). To ascertain the effectiveness of the RoleM Professional Learning model, teachers were interviewed three times a year and pre and post-tests were administered to students at the beginning and end of each year. Students’ results indicated that all students’ understanding of mathematics improved significantly, with the ESL students showing the greatest gains. Their results matched the norm-referenced expectations for all Australian students of this age. This book shares the journey of these teachers, Indigenous teacher aides and students. It outlines the dimensions of the research findings that supported teachers to become effective teachers of mathematics and assisted students in becoming successful learners of mathematics. The book also draws on the expertise of researchers from both Canada and New Zealand. They share the similarities and the differences between RoleM findings and their own contexts, in order to draw general conclusions for the effective teaching and learning of mathematics at the margins of society.

Download or read book Research Trends in Mathematics Teacher Education written by Jane-Jane Lo and published by Springer. This book was released on 2014-05-28 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.

Download or read book Mathematics as the Science of Patterns written by Patrick M. Jenlink and published by IAP. This book was released on 2022-02-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.

Download or read book European Traditions in Didactics of Mathematics written by Werner Blum and published by Springer. This book was released on 2019-02-18 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.

Download or read book Creativity of an Aha Moment and Mathematics Education written by and published by BRILL. This book was released on 2021-05-25 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Creativity of an Aha!Moment and Mathematics Education introduces bisociation, the theory of Aha! moment creativity into Mathematics Education. It establishes relationships between bisociation and constructivist theories of learning laying down the basis for the new theory integrating creativity with learning.

Download or read book Transformation A Fundamental Idea of Mathematics Education written by Sebastian Rezat and published by Springer Science & Business Media. This book was released on 2013-12-13 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?

Download or read book Developing 21st Century Competencies In The Mathematics Classroom Yearbook 2016 Association Of Mathematics Educators written by Pee Choon Toh and published by World Scientific. This book was released on 2016-05-20 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to contribute towards literature in the field of mathematics education, specifically the development of 21st century competencies amongst learners of mathematics.The book comprising fourteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to foster skills and dispositions that will enable learners to thrive in the fast-changing and complex world that we live in today.The chapters in the book can be classified into three broad themes. The first is an examination of what is meant by 21st century competencies and how they can be developed within the context of the mathematics curriculum. The second is an in-depth discussion of evidence-based practices aimed at fostering specific competencies like metacognition and reflective thinking, critical thinking and communication skills. The last and third theme is about teaching approaches that are likely to feature increasingly in the 21st century classroom, for example flipped learning or the use of comics and storytelling.

Download or read book Building Mathematics Learning Communities written by Erica N. Walker and published by Teachers College Press. This book was released on 2015-04-17 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Opportunity to learn (OTL) factors interact and ultimately influence mathematics achievement. Many important OTL interactions take place in school settings. This volume provides insights into the role of peer interactions in the mathematics learning process. The analysis describes with a sense of purpose a topic that is typically overlooked in discussions of mathematics reform. The case study is an important contribution to the urban mathematics education literature.” —William F. Tate, Edward Mallinckrodt Distinguished University Professor in Arts & Sciences, Washington University in St. Louis Drawing on perceptions, behaviors, and experiences of students at an urban high school—both high and low achievers—this timely book demonstrates how urban youth can be meaningfully engaged in learning mathematics. The author presents a “potential” model rather than a “deficit” model, complete with teaching strategies and best practices for teaching mathematics in innovative and relevant ways. This resource offers practical insights for pre- and inservice teachers and administrators on facilitating positive interactions, engagement, and achievement in mathematics, particularly with Black and Latino/a students. It also examines societal perceptions of urban students and how these affect teaching and learning, policies, and mathematics outcomes. Based on extensive research in urban high schools, the author identifies three key principles that must be understood for teachers and students to build strong mathematics communities. They are: Urban students want to be a part of academically challenging environments. Teachers and administrators can inadvertently create obstacles that thwart the mathematics potential of students. Educators can build on existing student networks to create collaborative and non-hierarchical communities that support mathematics achievement. Erica N. Walker is Associate Professor of Mathematics Education at Teachers College, Columbia University.

Download or read book Encyclopedia of Educational Theory and Philosophy written by D. C. Phillips and published by SAGE Publications. This book was released on 2014-05-19 with total page 953 pages. Available in PDF, EPUB and Kindle. Book excerpt: Education is a field sometimes beset by theories-of-the-day and with easy panaceas that overpromise the degree to which they can alleviate pressing educational problems. The two-volume Encyclopedia of Educational Theory and Philosophy introduces readers to theories that have stood the test of time and those that have provided the historical foundation for the best of contemporary educational theory and practice. Drawing together a team of international scholars, this invaluable reference examines the global landscape of all the key theories and the theorists behind them and presents them in the context needed to understand their strengths and weaknesses. In addition to interpretations of long-established theories, this work offers essays on cutting-edge research and concise, to-the-point definitions of key concepts, ideas, schools, and figures. Features: Over 300 signed entries by trusted experts in the field are organized into two volumes and overseen by a distinguished General Editor and an international Editorial Board. Entries are followed by cross references and further reading suggestions. A Chronology of Theory within the field of education highlights developments over the centuries; a Reader’s Guide groups entries thematically, and a master Bibliography facilitates further study. The Reader’s Guide, detailed index, and cross references combine for strong search-and-browse capabilities in the electronic version. Available in a choice of print or electronic formats, Encyclopedia of Educational Theory and Philosophy is an ideal reference for anyone interested in the roots of contemporary educational theory.

Download or read book Learning Over Time written by Alan P. Maloney and published by IAP. This book was released on 2014 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics-how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings-and how to use these insights to improve instruction and student learning. In this book, readers will come to understand what learning trajectories are, the research and methodology that are necessary for developing them, and gain insight into potential applications of learning trajectories. A synthesis and research outcome in their own right, learning trajectories provide detailed description of instructionally-grounded development of mathematical concepts and reasoning from the perspective of student learning, and, overall, building on decades of accumulated experience in mathematics education research. However, their greater importance may lie in their potential as frameworks that contribute an unprecedented coherence across classroom instruction, professional development, standards, and assessment, by focusing squarely on conceptual understanding and reasoning instead of assessment-driven procedural knowledge. This potential was sufficiently compelling as an organizing framework to have been cited as a basis for the Common Core mathematics standards, the new mathematics learning expectations that are now consistent across most of the United States. (Among the conference attendees were the writers of the Common Core State Standards for Mathematics, at the beginning of the Standards drafting process.) This book is an outgrowth of a conference on learning trajectories, hosted in 2009 at North Carolina State University, which examined research on learning trajectories. An overarching message of the chapters in this volume is that learning trajectories, by focusing on how children's mathematical reasoning develops, are coming into their own as a rigorous underpinning for both instruction and accountability. Some of the learning scientists featured in this volume have played major roles learning trajectories' evolution--from small-scale day-to-day conjectures by individual teachers, to systematic research endeavors that teachers and scientists alike can use to interpret standards, plan instruction, and formatively assess student work. The work in this volume will be of interest to mathematics educators, teachers, and professional development specialists.

Download or read book Mapping Equity and Quality in Mathematics Education written by Bill Atweh and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concerns about quality mathematics education are often posed in terms of the types of mathematics that are worthwhile and valuable for both the student and society in general, and about how to best support students so that they can develop this mathematics. Concerns about equity are about who is excluded from the opportunity to develop quality mathematics within our current practices and systems, and about how to remove social barriers that systematically disadvantage those students. This collection of chapters summarises our learning about the achievement of both equity and quality agendas in mathematics education and to move forward the debate on their importance for the field.

Download or read book Metacognitive Knowledge written by Joke van Velzen and published by IAP. This book was released on 2017-08-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important goal in contemporary educational psychology research is adolescent students’ development of higher?order thinking, which includes, among other things, that these students become competent and independent learners and problem solvers. This goal comes forth from the notion of education for life that emphasizes that students can direct their learning and problem solving of their own accord. Especially high?school students can encounter difficulties in independent learning and problem solving when they make the transition to higher education. To counter this, these students need to possess, among other things, metacognitive knowledge, which they may have insufficiently. This book offers new insights about late adolescent students’ understanding of their metacognitive knowledge regarding learning and problem solving. It offers a description of a research project conducted to obtain a better understanding of the students’ abilities and views with respect to what their metacognitive knowledge encompasses, and how they attempt to develop, apply, and improve this knowledge regarding learning and the solving of mathematical and first?language problems in a more effective way of their own accord. Specifically, the results of the studies of the research project enable us to understand metacognitive knowledge better, in that it provides explanations about the students’ development of this knowledge across domains. This book offers further details in terms of providing evidence for theory building regarding metacognitive knowledge.

Download or read book Shifts in the Field of Mathematics Education written by Peter Gates and published by Springer. This book was released on 2014-11-02 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Stephen Lerman has been a leader in the field of mathematics education for thirty years. His work is extensive, making many significant contributions to a number of key areas of research. Stephen retired from South Bank University in 2012, where he had worked for over 20 years, though he continues to work at Loughborough University. In this book several of his long standing colleagues and collaborators reflect on his contribution to mathematics education, and in so doing illustrate how some of Steve’s ideas and interventions have resulted in significant shifts in the domain.

Download or read book Sociocultural Research on Mathematics Education written by Bill Atweh and published by Taylor & Francis. This book was released on 2013-03-07 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume--the first to bring together research on sociocultural aspects of mathematics education--presents contemporary and international perspectives on social justice and equity issues that impact mathematics education. In particular, it highlights the importance of three interacting and powerful factors--gender, social, and cultural dimensions. Sociocultural Research on Mathematics Education: An International Perspective is distinguished in several ways: * It is research based. Chapters report on significant research projects; present a comprehensive and critical summary of the research findings; and offer a critical discussion of research methods and theoretical perspectives undertaken in the area. * It is future oriented, presenting recommendations for practice and policy and identifying areas for further research. * It deals with all aspects of formal and informal mathematics education and applications and all levels of formal schooling. As the context of mathematics education rapidly changes-- with an increased demand for mathematically literate citizenship; an increased awareness of issues of equity, inclusivity, and accountability; and increased efforts for globalization of curriculum development and research-- questions are being raised more than ever before about the problems of teaching and learning mathematics from a non-cognitive science perspective. This book contributes significantly to addressing such issues and answering such questions. It is especially relevant for researchers, graduate students, and policymakers in the field of mathematics education.