Friendships and Group Work in Linguistically Diverse Mathematics Classrooms: Opportunities to Learn for English Language Learners

This ethnographic study examined students’ opportunities to learn in linguistically diverse mathematics classrooms in a Canadian elementary school. I specifically examined the contextual change of group work, which influenced opportunities to learn for newly arrived English language learners (ELLs). Based on analyses of video-recorded interactions, this study revealed a shift in these ELLs’ opportunities to learn from when they worked with teacher-assigned peers to when they worked with friends. In both settings, ELLs tended to be positioned as novices. However, when working with friends, they accessed a wider variety of work practices. In friend groups, ELLs were occasionally positioned as experts and had more opportunities to raise questions and offer ideas. In contrast, when working with teacher-assigned peers, ELLs tended to remain in the position of being helped. In some teacher-assigned groups, interactions were characterized as authoritative, and ELLs’ contributions and ideas were rejected or neglected without relevant justifications or mathematical authority established by their peers. The findings contribute to ongoing discussions on group work and friendship in linguistically diverse classrooms.

[1]  Merrill Swain,et al.  Integrating Language and Content Teaching through Collaborative Tasks , 2001 .

[2]  D. Holland Identity and Agency in Cultural Worlds , 1998 .

[3]  Alexander W. Chizhik,et al.  Equity and Status in Group Collaboration: Learning Through Explanations Depends on Task Characteristics , 2001 .

[4]  R. Slavin Cooperative Learning: Theory, Research and Practice , 1990 .

[5]  Geoffrey B. Saxe,et al.  ARTICLES: Studying Cognition in Flux: A Historical Treatment of Fu in the Shifting Structure of Oksapmin Mathematics , 2005 .

[6]  Alison Kington,et al.  Children's friendships and learning in school: cognitive enhancement through social interaction? , 2005, The British journal of educational psychology.

[7]  Carol J. Beaumont,et al.  Dilemmas of Peer Assistance in a Bilingual Full Inclusion Classroom , 1999, The Elementary School Journal.

[8]  H. Mehan,et al.  Learning Lessons, Social Organization in the Classroom , 1979 .

[9]  L. S. Vygotskiĭ,et al.  Mind in society : the development of higher psychological processes , 1978 .

[10]  Bernard A. Mohan,et al.  Issues of Cooperative Learning in ESL Classes: A Literature Review , 1998 .

[11]  Randolph A. Philipp,et al.  Calculational and Conceptual Orientations in Teaching Mathematics , 1994 .

[12]  Brigid Barron When Smart Groups Fail , 2003 .

[13]  J. Hamm,et al.  The Dynamic Reality of Adolescent Peer Networks and Sense of Belonging , 2011, Merrill-Palmer Quarterly.

[14]  Jennifer M. Langer-Osuna How Brianna Became Bossy and Kofi Came Out Smart: Understanding the Trajectories of Identity and Engagement for Two Group Leaders in a Project-Based Mathematics Classroom , 2011 .

[15]  Ilona Leki,et al.  " A Narrow Thinking System" : Nonnative-English-Speaking Students in Group Projects Across the Curriculum , 2001 .

[16]  W. Hartup,et al.  Friends as Coworkers: Research Review and Classroom Implications , 1997, The Elementary School Journal.

[17]  Robert E. Slavin,et al.  Improving Intergroup Relations: Lessons Learned From Cooperative Learning Programs , 1999 .

[18]  JoNell Strough,et al.  Friendship and Gender Differences in Task and Social Interpretations of Peer Collaborative Problem Solving. , 2001 .

[19]  Carol L. Kennett Made in America: Immigrant Students in Our Public Schools , 1999 .

[20]  Professional development as discourse change: teaching mathematics to English learners , 2011 .

[21]  M. Brenner Development of Mathematical Communication in Problem Solving Groups By Language Minority Students , 1998 .

[22]  Jennifer M. Langer-Osuna,et al.  Power in Numbers: Student Participation in Mathematical Discussions in Heterogeneous Spaces , 2013 .

[23]  M. Azmitia,et al.  Friendship, transactive dialogues, and the development of scientific reasoning , 1993 .

[24]  Noreen M. Webb,et al.  Verbal Interaction and Learning in Peer-Directed Groups. , 1985 .

[25]  J. Cummins Language, Power and Pedagogy: Bilingual Children in the Crossfire , 2000 .

[26]  Neomy Storch,et al.  Patterns of Interaction in ESL Pair Work , 2002 .

[27]  Klaus Krippendorff,et al.  Content Analysis: An Introduction to Its Methodology , 1980 .

[28]  R. Gillies,et al.  The teacher's role in implementing cooperative learning in the classroom , 2008 .

[29]  Naoko Morita,et al.  Negotiating Participation and Identity in Second Language Academic Communities. , 2004 .

[30]  J. Lemke Across the Scales of Time: Artifacts, Activities, and Meanings in Ecosocial Systems , 2000 .

[31]  George C. Bunch “Academic English” in the 7th grade: Broadening the lens, expanding access , 2006 .

[32]  Laurie Olsen Made in America: Immigrant Students in Our Public Schools , 1997 .

[33]  최영한,et al.  미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론 , 2002 .

[34]  Rachel A. Lotan,et al.  Developing Language and Mastering Content in Heterogeneous Classrooms , 2008 .

[35]  Rosemary C. Reilly,et al.  Friendship and Choosing Groupmates: Preferences for Teacher-Selected vs. Student-Selected Groupings in High School Science Classes. , 2004 .

[36]  Elaine Day,et al.  Language -Learning: The Importance of Access to Community , 1999 .

[37]  M. Goos,et al.  Socially mediated metacognition: creating collaborative zones of proximal development in small group problem solving , 2002 .

[38]  N. Webb,et al.  Productive Helping in Cooperative Groups , 2002 .

[39]  J. Aguirre,et al.  Making culturally responsive mathematics teaching explicit: a lesson analysis tool , 2013 .

[40]  J. Boaler How a Detracked Mathematics Approach Promoted Respect, Responsibility, and High Achievement , 2006 .

[41]  John McCormick,et al.  Group work in schools with close friends and acquaintances: linking self-processes with group processes , 2009 .

[42]  Jennifer M. Langer-Osuna,et al.  Toward a Model of Influence in Persuasive Discussions: Negotiating Quality, Authority, Privilege, and Access Within a Student-Led Argument , 2014 .

[43]  Y. Kanno,et al.  ESL Students Speak Up: Their Stories of How We are Doing. , 1995 .

[44]  Indigo Esmonde,et al.  Mathematics Learning in Groups: Analyzing Equity in Two Cooperative Activity Structures , 2009 .

[45]  Lois Holzman,et al.  Vygotsky at Work and Play , 2008 .

[46]  A. Su,et al.  The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.

[47]  Terry A. Osborn Learning Identity: The Joint Emergence of Social Identification and Academic Learning , 2008 .

[48]  Indigo Esmonde,et al.  Social Identities and Opportunities to Learn: Student Perspectives on Group Work in an Urban Mathematics Classroom , 2009, Journal of Urban Mathematics Education.

[49]  D. Odo,et al.  Immigrant Students Navigating Canadian Schools: A Longitudinal View , 2012 .