Linguistic and Cultural Influences on Learning Mathematics

Author: Rodney R. Cocking
Publisher: Routledge
ISBN: 113656263X
Format: PDF, ePub
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The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.

Integrating Research on Teaching and Learning Mathematics

Author: Elizabeth Fennema
Publisher: SUNY Press
ISBN: 9780791405222
Format: PDF, Mobi
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During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.

Teaching English Learners and Students with Learning Difficulties in an Inclusive Classroom

Author: John W. Carr
Publisher: WestEd
ISBN: 0914409670
Format: PDF, Mobi
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This guidebook offers powerful, concrete ways to engage all middle and high school students -- especially English learners and students with other special needs -- in successful learning. Teachers will benefit from the practical, evidence-based approaches for teaching standards-based content in any subject area. School and district leaders will benefit from the sustainable schoolwide and districtwide practices that respect diversity and support inclusion. Authors John Carr and Sharen Bertrando provide invaluable insight, tools, and strategies, including: An effective framework for teaching diverse learners in any core discipline Specific steps and resources for helping students organize concepts, develop appropriate use of academic language, and communicate ideas effectively Rubrics identifying key characteristics of five English language proficiency levels, along with teaching strategies appropriate for each Methods for scaffolding assessments to ensure every student has a fair and accurate way to communicate what he or she is learning A lesson plan template for combining and putting into practice all of the ideas, approaches, and tools included in this guidebook

Innovations in Educational Psychology

Author: Robert J. Sternberg, PhD
Publisher: Springer Publishing Company
ISBN: 9780826121639
Format: PDF, ePub
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"[This book] is solid in its topic coverage and deliveryÖ Readers will glean a multitude of new ideas from the theories and approaches presented in this book, ranging from cultural aspects of teaching to Sternberg's WICS model." --Doody's This book serves as a comprehensive review of the current state-of-the-art in educational psychology and applied cognitive science. The chapter authors, who are all leading researchers in this field, provide reviews of contemporary discoveries related to educational research that are both novel and forward-thinking. The book contains the cutting edge literature on genetics and neuroscience, cognitive science and its relation to critical thinking, reading-related phonological processes, cultural considerations in education, and much more. The research methods and perspectives discussed range from education and psychology, to artificial intelligence and economics, thus offering a breadth of knowledge and insight on the field of educational research. The authors provide numerous tools and models for both routine and non-routine decision-making in educational settings. Both psychologists and researchers in the fields of cognitive, developmental, educational, and cultural psychology will want this book on their bookshelf.

Mathematics Education and Subjectivity

Author: Tony Brown
Publisher: Springer Science & Business Media
ISBN: 9789400717398
Format: PDF, ePub, Docs
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This book is centrally concerned with how mathematics education is represented and how we understand mathematical teaching and learning with view to changing them. It considers teachers, students and researchers. It explores their mathematical thinking and the concepts that this thought produces. But also how these concepts acquire cultural layers that mediate our apprehension. The book examines some of the linguistic and socio-cultural filters that influence mathematical understanding. But above all it introduces some contemporary theories of human subjectivity, in which subjectivity is seen primarily as consequential to, rather than productive of, our attempts to represent or categorise the world in which we live. That is, our sense of who we are results from our attempts to see ourselves against the various versions of the world that we encounter. Such theories trouble the very notion of mathematical "concepts" as apprehended by "humans". And in foregrounding this concern with subjectivity the book considers mathematics rather differently to styles more familiar in many instances of mathematics education research. The book proposes that mathematics can provoke us to think differently about our world and as a result enable our transformative capacities. Such an orientation may disturb our understanding of what mathematics is, how it exists in an "objective" sense, insofar as mathematical objects can be derived from social filters being applied to the world, but also serve as filters on the world capable of producing new social entities.

A Cultural Historical Perspective on Mathematics Teaching and Learning

Author: Wolff-Michael Roth
Publisher: Springer Science & Business Media
ISBN: 9460915647
Format: PDF, ePub
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Eighty years ago, L. S. Vygotsky complained that psychology was misled in studying thought independent of emotion. This situation has not significantly changed, as most learning scientists continue to study cognition independent of emotion. In this book, the authors use cultural-historical activity theory as a perspective to investigate cognition, emotion, learning, and teaching in mathematics. Drawing on data from a longitudinal research program about the teaching and learning of algebra in elementary schools, Roth and Radford show (a) how emotions are reproduced and transformed in and through activity and (b) that in assessments of students about their progress in the activity, cognitive and emotional dimensions cannot be separated. Three features are salient in the analyses: (a) the irreducible connection between emotion and cognition mediates teacher-student interactions; (b) the zone of proximal development is itself a historical and cultural emergent product of joint teacher-students activity; and (c) as an outcome of joint activity, the object/motive of activity emerges as the real outcome of the learning activity. The authors use these results to propose (a) a different conceptualization of the zone of proximal development, (b) activity theory as an alternative to learning as individual/social construction, and (c) a way of understanding the material/ideal nature of objects in activity. Wolff-Michael Roth is Lansdowne Professor at the University of Victoria, Canada. He researches scientific and mathematical cognition along the life span from cultural-historical and phenomenological perspectives. He has conducted research in science and mathematics classrooms as well as having realized multi-year ethnographic studies of science and mathematics in workplaces and scientific research. Luis Radford is full professor at Laurentian University in Canada. His research interests include the investigation of mathematics thinking and knowing from a cultural-semiotic embodied perspective and the historical and cultural roots of cognition. For many years he has been conducting classroom research with primary and high-school teachers about the teaching and learning of mathematics.

Handbook of Educational Psychology

Author: Patricia A. Alexander
Publisher: Routledge
ISBN: 1135283516
Format: PDF, ePub, Docs
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Sponsored by Division 15 of APA, the second edition of this groundbreaking book has been expanded to 41 chapters that provide unparalleled coverage of this far-ranging field. Internationally recognized scholars contribute up-to-date reviews and critical syntheses of the following areas: foundations and the future of educational psychology, learners’ development, individual differences, cognition, motivation, content area teaching, socio-cultural perspectives on teaching and learning, teachers and teaching, instructional design, teacher assessment, and modern perspectives on research methodologies, data, and data analysis. New chapters cover topics such as adult development, self-regulation, changes in knowledge and beliefs, and writing. Expanded treatment has been given to cognition, motivation, and new methodologies for gathering and analyzing data. The Handbook of Educational Psychology, Second Edition provides an indispensable reference volume for scholars, teacher educators, in-service practitioners, policy makers and the academic libraries serving these audiences. It is also appropriate for graduate level courses devoted to the study of educational psychology.

Cultural Perspectives on the Mathematics Classroom

Author: Steve Lerman
Publisher: Springer Science & Business Media
ISBN: 9401711992
Format: PDF, Docs
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Mathematics teaching and learning have been dominated by a concern for the intellectual readiness of the child, debates over rote learning versus understanding and, recently, mathematical processes and thinking. The gaze into today's mathematics classroom is firmly focused on the individual learner. Recently, however, studies of mathematics in social practices, including the market place and the home, have initiated a shift of focus. Culture has become identified as a key to understanding the basis on which the learner appropriates meaning. The chapters in this timely book attempt to engage with this shift of focus and offer original contributions to the debate about mathematics teaching and learning. They adopt theoretical perspectives while drawing on the classroom as both the source of investigation and the site of potential change and development. The book will be of fundamental interest to lecturers and researchers and to teachers concerned with the classroom as a cultural phenomenon.

Research on Technology and the Teaching and Learning of Mathematics

Author: Mary Kathleen Heid
Publisher: Information Age Pub Incorporated
ISBN: 9781931576185
Format: PDF, Docs
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A volume in Research on Technology and the Teaching and Learning of Mathematics: Syntheses, Cases, and Perspectives According to NCTM's Principles and Standards for School Mathematics, "Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students' learning." How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The first volume provides insight into what research suggests about the nature of mathematics learning in technological environments. Included in this volume are syntheses of research on technology in the learning of rational number, algebra, elementary and secondary geometry, mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equity issues in the use of technology in mathematics instruction. Instead of simply reporting achievement scores of students who use technology in their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technology affects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research has provided important guidance to the field.