The Culture Of The Mathematics Classroom

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The Culture of the Mathematics Classroom

Falk Seeger,Jörg Voigt,Ute Waschescio
The Culture of the Mathematics Classroom Book PDF

Author : Falk Seeger,Jörg Voigt,Ute Waschescio
Publisher : Cambridge University Press
Page : 276 pages
File Size : 45,6 Mb
Release : 1998-08-13
Category : Psychology
ISBN : 0521571073

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The Culture of the Mathematics Classroom by Falk Seeger,Jörg Voigt,Ute Waschescio Pdf

The culture of the mathematics classroom is becoming an increasingly salient topic of discussion in mathematics education. Studying and changing what happens in the classroom allows researchers and educators to recognize the social character of mathematical pedagogy and the relationship between the classroom and culture at large. This volume is divided into three sections, reporting findings gained in both research and practice. The first part presents several attempts to change classroom culture by focusing on the education of mathematics teachers and on teacher-researcher collaboration. The second section shifts to the interactive processes of the mathematics classroom and to the communal nature of learning. The third section discusses the means of constructing, filtering, and establishing mathematical knowledge that are characteristic of classroom culture. This internationally relevant volume will be of particular interest to educators and educational researchers.

5 Principles of the Modern Mathematics Classroom

Gerald Aungst
5 Principles of the Modern Mathematics Classroom Book PDF

Author : Gerald Aungst
Publisher : Corwin Press
Page : 141 pages
File Size : 46,5 Mb
Release : 2015-10-09
Category : Education
ISBN : 9781506322995

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5 Principles of the Modern Mathematics Classroom by Gerald Aungst Pdf

Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces

Culturally Specific Pedagogy in the Mathematics Classroom

Jacqueline Leonard
Culturally Specific Pedagogy in the Mathematics Classroom Book PDF

Author : Jacqueline Leonard
Publisher : Routledge
Page : 226 pages
File Size : 53,9 Mb
Release : 2018-11-01
Category : Education
ISBN : 9781351255813

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Culturally Specific Pedagogy in the Mathematics Classroom by Jacqueline Leonard Pdf

Advocating for the use of culturally specific pedagogy to enhance the mathematics instruction of diverse students, this revised second edition offers a wide variety of conceptual and curricular resources for teaching mathematics in a way that combats and confronts the forms of oppression that students face today. Addressing stratification based on race, class, and gender, Leonard offers lesson templates that teachers can use with ethnically and culturally diverse students and makes the link between research and practice. Connecting cutting-edge and emerging technologies to culturally specific pedagogy, the second edition features new chapters on mathematics and social justice, robotics, and spatial visualization. Applying a more expansive focus, the new edition discusses current movements such as Black Lives Matter and incorporates examples of rural and tribal students to paint a broader picture of what culturally rich mathematics classrooms actually look like. The text builds on sociocultural theory and research on culture and mathematics cognition to extend the literature and better understand minority students’ goals and learning needs. Including new discussion questions and new examples, lessons, and vignettes of integrating culture in the mathematics classroom, this book employs pedagogical research to field-test new instructional methods for culturally diverse and female students.

Cultural Perspectives on the Mathematics Classroom

Steve Lerman
Cultural Perspectives on the Mathematics Classroom Book PDF

Author : Steve Lerman
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 55,9 Mb
Release : 2013-04-17
Category : Education
ISBN : 9789401711999

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Cultural Perspectives on the Mathematics Classroom by Steve Lerman Pdf

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.

The Emergence of Mathematical Meaning

Paul Cobb,Heinrich Bauersfeld
The Emergence of Mathematical Meaning Book PDF

Author : Paul Cobb,Heinrich Bauersfeld
Publisher : Routledge
Page : 313 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Education
ISBN : 9781136486104

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The Emergence of Mathematical Meaning by Paul Cobb,Heinrich Bauersfeld Pdf

This book grew out of a five-year collaboration between groups of American and German mathematics educators. The central issue addressed accounting for the messiness and complexity of mathematics learning and teaching as it occurs in classroom situations. The individual chapters are based on the view that psychological and sociological perspectives each tell half of a good story. To unify these concepts requires a combined approach that takes individual students' mathematical activity seriously while simultaneously seeing their activity as necessarily socially situated. Throughout their collaboration, the chapter authors shared a single set of video recordings and transcripts made in an American elementary classroom where instruction was generally compatible with recent reform recommendations. As a consequence, the book is much more than a compendium of loosely related papers. The combined approach taken by the authors draws on interactionism and ethnomethodology. Thus, it constitutes an alternative to Vygotskian and Soviet activity theory approaches. The specific topics discussed in individual chapters include small group collaboration and learning, the teacher's practice and growth, and language, discourse, and argumentation in the mathematics classroom. This collaborative effort is valuable to educators and psychologists interested in situated cognition and the relation between sociocultural processes and individual psychological processes.

Mathematics Education

Barbara Allen,Sue Johnston-Wilder
Mathematics Education Book PDF

Author : Barbara Allen,Sue Johnston-Wilder
Publisher : Psychology Press
Page : 256 pages
File Size : 43,7 Mb
Release : 2004
Category : Mathematics
ISBN : 9780415327008

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Mathematics Education by Barbara Allen,Sue Johnston-Wilder Pdf

This book focuses on the issues surrounding researching mathematics education, in particular the notion of the culture of the mathematics classroom, communication in mathematics classrooms and pupils' and teachers' perceptions.

A Cultural-Historical Perspective on Mathematics Teaching and Learning

Wolff-Michael Roth,Luis Radford
A Cultural Historical Perspective on Mathematics Teaching and Learning Book PDF

Author : Wolff-Michael Roth,Luis Radford
Publisher : Springer Science & Business Media
Page : 189 pages
File Size : 53,5 Mb
Release : 2011-11-22
Category : Education
ISBN : 9789460915642

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A Cultural-Historical Perspective on Mathematics Teaching and Learning by Wolff-Michael Roth,Luis Radford Pdf

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.

Culturally Responsive Teaching

Geneva Gay
Culturally Responsive Teaching Book PDF

Author : Geneva Gay
Publisher : Teachers College Press
Page : 321 pages
File Size : 54,6 Mb
Release : 2010
Category : Education
ISBN : 9780807750780

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Culturally Responsive Teaching by Geneva Gay Pdf

The achievement of students of color continues to be disproportionately low at all levels of education. More than ever, Geneva Gay's foundational book on culturally responsive teaching is essential reading in addressing the needs of today's diverse student population. Combining insights from multicultural education theory and research with real-life classroom stories, Gay demonstrates that all students will perform better on multiple measures of achievement when teaching is filtered through their own cultural experiences. This bestselling text has been extensively revised to include expanded coverage of student ethnic groups: African and Latino Americans as well as Asian and Native Americans as well as new material on culturally diverse communication, addressing common myths about language diversity and the effects of "English Plus" instruction.

Latinos/as and Mathematics Education

Kip Téllez,Judit N. Moschkovich,Marta Civil
Latinos as and Mathematics Education Book PDF

Author : Kip Téllez,Judit N. Moschkovich,Marta Civil
Publisher : IAP
Page : 363 pages
File Size : 44,6 Mb
Release : 2011-05-01
Category : Education
ISBN : 9781617354229

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Latinos/as and Mathematics Education by Kip Téllez,Judit N. Moschkovich,Marta Civil Pdf

This book that explores the mathematics education of Latinos/as in 13 original research studies. Each chapter represents research that grounds mathematics instruction for Latinos/as in the resources to be found in culture and language. By inverting the deficit perspective, this volume redresses the shortcomings found in the previous literature on Latino/a learners. Each study frames language (e.g. bilingualism) not as an obstacle to learning, but as a resource for mathematical reasoning. Other chapters explore the notion of cultural variation not as a liability but as a tool for educators to build upon in the teaching of mathematics. Specifically, the book reframes culture as a focus on the practices, objects, inscriptions, or people that connect mathematical concepts to student thinking and experiences, both in and out of school. The book's four sections divide the research: The first section of the book focuses on mathematic learning in classrooms, specifically exploring bilingual, Latino/a students; the second section explores Latino/a learners in communities, including the role parents can play in advancing learning; the third section includes chapters focused on teacher professional growth; the final section concerns the assessment (and mis-assessment) of Latino/a learners. The research shared in this volume provides ample evidence that mathematics educators who choose to ignore language or culture in their pedagogy risk shortchanging their Latino/a students.

Building Thinking Classrooms in Mathematics, Grades K-12

Peter Liljedahl
Building Thinking Classrooms in Mathematics Grades K 12 Book PDF

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 53,8 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374840

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Classroom Research on Mathematics and Language

Núria Planas,Candia Morgan,Marcus Schütte
Classroom Research on Mathematics and Language Book PDF

Author : Núria Planas,Candia Morgan,Marcus Schütte
Publisher : Taylor & Francis
Page : 243 pages
File Size : 48,7 Mb
Release : 2021-03-22
Category : Education
ISBN : 9780429523007

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Classroom Research on Mathematics and Language by Núria Planas,Candia Morgan,Marcus Schütte Pdf

This book offers an international perspective on the current and future state of the research, focusing, in particular, on the role and use of language in mathematics school teaching and learning. It focuses on the development of a unified view of the languages of the learners, of the teachers and of mathematics by considering the role of language in the learning, teaching and doing of mathematics in the classroom, and the current richness and plurality of language and culture. The contributions in this volume combine to show how views of language and of language research in mathematics education have changed significantly in recent decades, and how they will continue to change and become even more complex and challenging in the era of diversity. All of these contributions by leading scholars are grouped into two sections for emphasis on issues of: • Theorising the complexity of language in mathematics teaching and learning • Opening spaces of learning with mathematics classroom research on language This book will be of great interest to mathematics teachers, teacher educators, curriculum developers and mathematics education researchers who deal with the study and implementation of pedagogies of mathematics teaching and learning, specifically in regions of the world which are culturally and sociolinguistically diverse.

5 Principles of the Modern Mathematics Classroom

Gerald Aungst
5 Principles of the Modern Mathematics Classroom Book PDF

Author : Gerald Aungst
Publisher : Corwin Press
Page : 201 pages
File Size : 47,6 Mb
Release : 2015-10-09
Category : Education
ISBN : 9781506322988

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5 Principles of the Modern Mathematics Classroom by Gerald Aungst Pdf

Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts with challenges discovered in the real world, not a sequence of prescribed problems. In this groundbreaking book, Gerald Aungst offers five powerful principles for instilling a culture of learning in your classroom: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows how to: Embrace collaboration and purposeful chaos to engage students in productive struggle Put each chapter’s principles into practice using a variety of strategies, activities, and technology tools Introduce lasting changes in your classroom through a gradual shift in processes and behaviors

Culturally Specific Pedagogy in the Mathematics Classroom

Jacqueline Leonard
Culturally Specific Pedagogy in the Mathematics Classroom Book PDF

Author : Jacqueline Leonard
Publisher : Routledge
Page : 306 pages
File Size : 51,8 Mb
Release : 2017-10-03
Category : Education
ISBN : 9781351225441

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Culturally Specific Pedagogy in the Mathematics Classroom by Jacqueline Leonard Pdf

"Culturally Specific Pedagogy in the Mathematic Classroom offers a wide variety of conceptual and curricular resources for teachers interested in teaching mathematics in a way that challenges stratification based upon race, class, gender and other forms of oppression that students face in todays world. With the publication of this book, all teachers will have available to them instructional strategies in mathematics for meeting the academic needs of culturally diverse students. They will have an explanation of the linkage between culture and students mathematical cognition and problem solving. The ease in which Leonard brings the reader along, and the caring way she tells a story about making mathematics a fun and social justice experience makes for an exciting learning opportunity for all students and teachers." Carl A. Grant, University Wisconsin-Madison, United States, From the Foreword "Mathematics educators are in a period of deep concern about our ability to educate all students in mathematics. Most students of color do not have the opportunities to fully learn mathematics. Nothing more important can be done for these students and their teachers than to publish this book addressing the miseducation of these students and offering a way to change what we are doing." Carol E. Malloy, University of North Carolina-Chapel Hill, United States This compelling text advocates the use of culturally specific pedagogy to enhance the mathematics instruction of diverse students. It accomplishes this by making clear the link between research and practice and offering lesson templates that teachers can use with ethnically and culturally diverse students and with females. Specifically, the text draws on sociocultural theory and research on culture and mathematics cognition to focus on three goals: using qualitative research to extend the literature on culturally based education to African American and Latina/o c

Teaching and Learning Secondary School Mathematics

Ann Kajander,Jennifer Holm,Egan J Chernoff
Teaching and Learning Secondary School Mathematics Book PDF

Author : Ann Kajander,Jennifer Holm,Egan J Chernoff
Publisher : Springer
Page : 695 pages
File Size : 54,5 Mb
Release : 2018-10-24
Category : Education
ISBN : 9783319923901

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Teaching and Learning Secondary School Mathematics by Ann Kajander,Jennifer Holm,Egan J Chernoff Pdf

This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.

Teaching Math to Multilingual Students, Grades K-8

Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Teaching Math to Multilingual Students Grades K 8 Book PDF

Author : Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Publisher : Corwin Press
Page : 317 pages
File Size : 49,8 Mb
Release : 2021-01-07
Category : Education
ISBN : 9781071810835

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Teaching Math to Multilingual Students, Grades K-8 by Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow Pdf

Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.