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Teaching Math to Multilingual Students, Grades K-8
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Teaching Math to Multilingual Students, Grades K-8
Positioning English Learners for Success



January 2021 | 248 pages | Corwin
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.  
 

 
Preface
 
Acknowledgements
 
Our Hope for Multilingual Learners
 
Teachers Who Inspire
 
Studying Teacher Practice
 
Interacting With Multilingual Learners and Their Families
 
Position Multilingual Learners as Classroom Leaders
 
What Research says About Positioning
 
Reflecting of Xiao Li's Experience
 
Reflecting on Nabil Abadi's Experience
 
Reflecting on José López’s Experience
 
Positioning Students as Experts
One Year Later

 
Reflecting on Why Positioning Matters

 
 
Recognize How Teachers Position Students
 
Positioning Multilingual Learners as Leaders
Explicitly Positioning Multilingual Learners as Leaders

 
Implicitly Positioning Multilingual Learners as Leaders

 
 
Strategies for Positioning Multilingual learners as Leaders
 
Thinking About Positioning in Your Practice
 
Facilitate Multilingual Learners' Participation in Mathematics Classroom
 
Reflecting on Your Experience with Participating
 
What Research Says About Student Participation
 
Factors That Influence the Participation of Multilingual Learners
Reflecting on Your Experiences with Fear

 
Overcoming Fear

 
Encountering Unknown Contexts

 
 
Examining Teaching Strategies That Influence Participation
 
Strategies for Facilitating Multilingual Learners’ Participation in Mathematics
 
Thinking About Participation in Your Practice
 
Facilitate Partnerships Between Multilingual Learners and Their Peers
 
Solving a Mathematics Problem with A Partner
 
Solving a Mathematics Problem with A Partner
 
Qualities of Partnerships
 
Strategies for Facilitating Partnerships
 
Establish Participation Norms With Students
 
Practice Compliments
 
Provide Concrete Resources
 
Pay Attention To Pairing
 
Monitor How Partners Work
 
Revisit Partnership Norms With Student
 
Thinking About Partnerships in Your Practice
 
Engage Multilingual Learners Through Culturally-Relevant Contexts
 
Reflecting on the Challenge of Contexts and Culture
 
What the Research Says About Contexts in Mathematics
 
Strategies for Engaging Multilingual Learners Through Culturally-Meaningful Contexts
 
Thinking about Contexts in your Practice
 
Reach Multilingual Learners with Visuals, Illustrations, and Gestures
 
What Research Says About Visuals and Gestures
 
Using Visuals Strategically
Examining Ms. Bristow’s Use of Visuals: Dividing Cookies

 
Examining Ms. Bristow’s Use of Visuals: Emphasizing the Meaning of ‘Loose’

 
Emphasizing Mathematical Connections

 
 
Reflecting on Your Use of Gestures
 
Using Gestures Strategically
 
Examining Ms. Bristow’s Use of Gestures: Obstacle Course
 
Examining Ms. Bristow’s Strategic Use of Visuals and Gestures: Columns and Rows
 
Thinking About Visuals and Gestures in Your Practice
 
Strategies for Using Visuals and Gestures
 
Analyze Mathematical Work of Multilingual Learners
 
Reflecting on Your Experiences
 
What Research Says About Analyzing Multilingual Learners’ Mathematical Work
What Research Says About Analyzing Multilingual Learners’ Mathematical Work

 
 
Analyzing Additional Student Work
 
Strategies for Discerning Between Mathematical and Language Issues
Examining Abigail’s Work

 
Examining Janessa’s Work

 
 
The Importance of Interviewing Multilingual Learners
 
Thinking About Analyzing Multilingual Learner’s Mathematical Work in Your Practice
 
Investigate Meanings to Enhance Multilingual Learners’ Language Development
 
The Importance of Academic Language for Multilingual Learners
 
What the Research Says About Academic Language
 
Distinguishing Between Multiple Meanings of Language
 
Introducing Specialized Mathematics Language
 
Amplified Use of Academic Language
 
Strategies for Enhance Multilingual Learners’ Language Development
 
Thinking About Academic Language in Your Practice
 
Use Your Discourse Strategically to Enhance Multilingual Learners’ Opportunity to Learn
 
Reflecting on Varieties of English that Influence Discourse
 
What Research Says About Discourse
 
Teacher Discourse
Connecting Academic Language to Mathematical Representations

 
Posing Questions to Engage Multilingual Learners

 
Posing Questions to Engage Multilingual Learners

 
 
Strategies for Promoting Classroom Discourse
 
Thinking About Your Discourse in Your Practice
 
Foster a Culture of Writing in the Mathematics Classroom
 
Reflecting on Your Experiences
 
What Research Says About Writing in Mathematics
 
Establishing a Need to Write in Mathematics
 
Establishing a Culture of Writing
 
Providing Feedback on Students’ Writing
 
Analyzing Students’ Writing
 
Strategies for Fostering a Culture of Writing in Your Mathematics Classroom
 
Reflecting on Mathematical Writing in Your Practice
 
Develop Writing in Mathematics for Multilingual Learners
 
Reflecting on Your Practice
 
Mathematical Genres of Writing
 
What the Research Says about Mathematical Genres
 
Identifying Mathematical Writing Genres
 
Strategies for Developing Writing in Mathematics for Multilingual Learners
Teaching Practices

 
Activities

 
 
Reflecting on Your Use of Mathematical Genres in Your Practice
 
Enhance Curriculum Materials for Multilingual Learners
 
Reflecting on Mathematics Curriculum
 
What Research Says About Curriculum Enhancement for Multilingual Learners
 
Strategies for Crafting Language to Better Support Multilingual Learners
 
Analyzing Curriculum Materials for Multilingual Learners
 
Research Recommendations for Enacting Mathematics Curriculum
 
Recognizing Different Mathematical Conventions and Representations
 
Thinking about Mathematical Conventions and Representations in your Practice
 
Thinking about Curriculum Enhancement in your Practice
 
Engage with Parents and Families of Multilingual Learners
 
Reflecting on Your Experiences
 
What the Research Says about Multilingual Parent and Family Engagement
 
Multicultural Parenting Styles
Cultural Values

 
Emphasizing the Value of Family in Your Classroom

 
Examining Teachers’ and Multilingual Parents’ Expectations

 
 
Reframing Multilingual Parental Engagement
 
Strategies for Facilitating Multilingual Family and Parent Engagement in Your Classroom
 
Reflecting on Family Engagement in Your Practice
 
Appendix A. Additional Resources
 
Appendix B. Selected Solutions
 
References

Free resources

Teaching Strategies That Influence Participation

Teaching Strategies That Influence Participation

This excerpt examines teaching strategies that influence participation in classrooms.

 

Read Now

Positioning Multilingual Learners as Leaders

Positioning Multilingual Learners as Leaders

This excerpt provides strategies on how to position multilingual learners as leaders. 

 

Read Now

Kathryn Chval and her colleagues exquisitely give the readers opportunities to see inside a classroom with multilingual students, develop empathy, and deeply understand effective practice. The book’s engaging format provides questions for reflection and strategies to try out, connects research to practice, and compels readers to position students for success.

Nora G. Ramirez
Executive Director, TODOS: Mathematics for ALL

This is the book I’ve been waiting for! It is powerful. It brings together often-separate critical ideas for teaching multilingual students and weaves them with in-depth explorations of classrooms. We meet remarkable teachers, whose success we can learn from, which will help us reimagine what’s possible.

Lena Licón Khisty
Emerita, University of Illinois Chicago

A must-read! This book is an excellent resource to closely examine mathematics instruction that affirms multilingual learners’ identities, competencies, and growth as learners of mathematics. Far too often multilingual children and their families are positioned in deficit ways that lead to limited learning. This book does the opposite. It seamlessly blends practice and research for a comprehensive look at exemplary mathematics teaching that leverages children’s multiple linguistic, cultural, and mathematical strengths. The book offers practical tools and guidance to enhance mathematics instruction, nurture student relationships, and create strong partnerships with families to support and advance multilingual learners in mathematics.

Julia Aguirre
Faculty Director of Teacher Credential Programs, School of Education
University of Washington, Tacoma

This book goes beyond the typical support of the academic language of mathematics for English learners. It provides an in-depth perspective on being more culturally inclusive of English learners and allows educators to reflect on their instructional methodologies in mathematics.

Alexander L. Tai
Teacher and English Learner Specialist
Columbia Public Schools

This book celebrates the brilliance of multilingual learners while also providing evidence-based strategies for teachers. The included cases and activities provide a solid foundation for teachers’ growth and exploration into teaching mathematics with multilingual students. This book will help teachers and teacher educators engage in meaningful and humane mathematics instruction with students.

Zandra de Araujo
Associate Professor, College of Education
College of Education, University of Missouri

This inspiring volume provides resources for mathematics teachers to support mathematics learning for English learners. Using four central principles—assets, empathy, practice, and research—to base the strategies and an impressive array of materials, including student work, the volume illustrates multiple approaches to providing English learners with opportunities to learn important mathematics with understanding.

Judit Moschkovich
Professor, University of California, Santa Cruz

Teaching Math to Multilingual Students, Grades K–8: Positioning English Learners for Success takes an asset-based approach toward developing multilingual learners in the classroom. This book clearly demonstrates the nuances of analyzing the mathematical work of multilingual learners while providing examples and strategies for giving useful feedback that is applicable to all learners. Fostering a culture of writing in the mathematics classroom is explicitly taught through a variety of strategies, activities, and teacher practices. Topics such as culturally relevant contexts, crafting language, and family involvement serve to round out this text and provide teachers with a solid resource to support multilingual learners in a layered, thoughtful way.

Renee Rowan
Second-Grade Teacher
Skokie, Illinois

Wondering how to support multilingual learners beyond broad, generic suggestions? This book is it! Through true vignettes, transcripts, pictures, and videos, these authors literally show how to support multilingual learners, while engaging you in developing your own capacities to do so. The chapter on positioning learners as leaders is a must-read for every educator! I can’t wait to use this book in my work with students and teachers.

Jennifer Bay-Williams
Author and Professor, University of Louisville

This book is an excellent resource for opening doors of access to mathematics for multilingual students, particularly those multilingual students who are, in the authors’ words, ‘silent spectators’ of classroom lessons. Teaching Math to Multilingual Students, Grades K–8 offers strategies and resources that are both research-based and tried, personalized, and polished in real classrooms. The images from those classrooms are compelling, underscoring the importance of an asset-based mentality in teaching multilingual students.

Mark Driscoll
Coauthor of Mathematical Thinking and Communication: Access for English Learners

This book is a must-have for anyone working with multilingual learners in mathematics. The authors push the reader to reflect through questions and prompts and to take action by trying out the strategies suggested. The authors’ deep respect for and asset-based view of multilingual students and their mathematical ideas are evident throughout the whole book. Of particular note is the attention paid to the role of families in the mathematics education of multilingual learners.

Marta Civil
Professor of Mathematics Education and Roy F. Graesser Chair–Department of Mathematics
The University of Arizona

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ISBN: 9781071810842
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