Identity, Goals, and Learning: Mathematics in Cultural Practice

In this article, I explore and elaborate the relation between goals, identities, and learning and argue for their utility as a model by which to understand the nature of learning in general and to better understand the way in which race, culture, and learning become intertwined for minority students in American schools. Drawing on sociocultural perspectives on learning and development, including Wenger (1998) and Saxe (1999), I describe findings from 2 studies of learning among African American students outside of school, in the cultural practices of dominoes and basketball. This research shows that indeed, as players come to learn these practices, they both shift in regard to the goals they seek to accomplish within the practice and change as they come to define themselves vis-à-vis the practice. The implications for understanding the relation between race, culture, and learning are discussed.

[1]  Geoffrey B. Saxe,et al.  Culture and cognitive development , 1990 .

[2]  Geoffrey B. Saxe,et al.  Candy Selling and Math Learning , 1988 .

[3]  J. Lave Cognition in Practice: Outdoors: a social anthropology of cognition in practice , 1988 .

[4]  S. Fordham,et al.  Black students' school success: Coping with the “burden of ‘acting white’” , 1986 .

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

[6]  P. Campbell What's a Nice Girl Like You Doing in a Math Class?. , 1986 .

[7]  B. Lomov The Problem of Activity in Psychology , 1982 .

[8]  L. Delpit Other People's Children: Cultural Conflict in the Classroom , 1995 .

[9]  L. Vygotsky,et al.  Thought and Language , 1963 .

[10]  H. Markus,et al.  THE DYNAMIC SELF-CONCEPT: A Social Psychological Perspective , 1987 .

[11]  L. Frank The Society for Research in Child Development , 1935 .

[12]  J. Macleod,et al.  Ain't no makin' it: Leveled aspirations in a low-income neighborhood , 1987 .

[13]  R. Zevenbergen,et al.  Equity and mathematics education , 2002 .

[14]  Herbert A. Simon,et al.  THE MIND'S EYE IN CHESS , 1988 .

[15]  Jeannie Oakes,et al.  Chapter 3: Opportunities, Achievement, and Choice: Women and Minority Students in Science and Mathematics , 1990 .

[16]  Tryphenia Peele The Dreamkeepers: Successful Teachers of African American Children , 1997 .

[17]  Jo Boaler,et al.  Participation, Knowledge and Beliefs: A Community Perspective on Mathematics Learning , 1999 .

[18]  Carol D. Lee A Culturally Based Cognitive Apprenticeship: Teaching African American High School Students Skills in Literary Interpretation. , 1995 .

[19]  Mary Montgomery Lindquist,et al.  Results from the Fourth Mathematics Assessment of the National Assessment of Educational Progress. , 1989 .

[20]  C. Hirsch Curriculum and Evaluation Standards for School Mathematics , 1988 .

[21]  J. Ogbu,et al.  Variability in Minority School Performance: A Problem in Search of an Explanation , 1987 .

[22]  T. P. Carpenter,et al.  Learning and teaching with understanding. , 1992 .

[23]  A. D. D. Groot Thought and Choice in Chess , 1978 .

[24]  Jo Boaler,et al.  Exploring Situated Insights into Research and Learning. , 2000 .

[25]  D. Wood Self-theories: Their Role in Motivation, Personality and Development. By Carol S. Dweck. Psychology Press, Hove, 1999. pp. 195. £29.95 (hb). , 2000 .

[26]  Martin L. Johnson Blacks in Mathematics: A Status Report. , 1984 .

[27]  Carole Cain,et al.  Personal Stories: Identity Acquisition and Self-Understanding in Alcoholics Anonymous , 1991 .

[28]  H. Simon,et al.  Perception in chess , 1973 .

[29]  S. Scribner Studying working intelligence. , 1984 .

[30]  Robert Liebendorfer Mind, self and society , 1960 .

[31]  J. Osborne Race and Academic Disidentification , 1997 .

[32]  Gloria J. Ladson-Billings,et al.  It Doesn't Add Up: African American Students' Mathematics Achievement. , 1997 .

[33]  M. Cole,et al.  Cognitive Development: Its Cultural and Social Foundations , 1976 .

[34]  E. Turiel Development and cultural change : reciprocal processes , 1999 .

[35]  Magdalene Lampert,et al.  When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching , 1990 .

[36]  G. D. Abreu Understanding how children experience the relationship between home and school mathematics , 1995 .

[37]  M. Maehr,et al.  Understanding Motivation and Schooling: Where We've Been, Where We Are, and Where We Need to Go , 1997 .

[38]  H. Gintis,et al.  Schooling in Capitalist America , 1976 .

[39]  P. Lazarsfeld Principles of Topological Psychology , 1938 .

[40]  J. Ogbu,et al.  Understanding Cultural Diversity and Learning , 1992 .

[41]  Neil Charness,et al.  Expertise in chess: The balance between knowledge and search. , 1991 .

[42]  G. Saxe,et al.  Cognition, development, and cultural practices. , 1999, New directions for child and adolescent development.

[43]  Terezinha Nunes Carraher,et al.  From Drawings to Buildings; Working with Mathematical Scales , 1986 .

[44]  H. Markus,et al.  Possible Selves , 2001 .

[45]  David K. Cohen,et al.  Schooling in Capitalist America. , 1977 .

[46]  W. Stern,et al.  General psychology from the personalistic standpoint , 1938 .

[47]  Y. Engeström,et al.  Activity theory and individual and social transformation. , 1999 .

[48]  Kenneth B. Clark,et al.  Emotional Factors in Racial Identification and Preference in Negro Children , 1950 .

[49]  S. Stryker,et al.  Identity theory: Developments and extensions. , 1987 .

[50]  K. Au,et al.  Participation Structures in a Reading Lesson with Hawaiian Children: Analysis of a Culturally Appropriate Instructional Event , 1980 .

[51]  A. N. Leont’ev The Problem of Activity in Psychology , 1974 .

[52]  P. Cobb,et al.  Discourse, mathematical thinking, and classroom practice. , 1993 .

[53]  George M. A. Stanic,et al.  Race, Sex, Socioeconomic Status, and Mathematics. , 1988 .

[54]  Etienne Wenger,et al.  Situated Learning: Legitimate Peripheral Participation , 1991 .

[55]  H. Werner Process and achievement—a basic problem of education and developmental psychology. , 1937 .

[56]  Jim Cummins,et al.  Empowering minority students: A framework for intervention. , 1986 .

[57]  K. Kreppner William L. Stern: A neglected founder of developmental psychology. , 1994 .

[58]  Coordinator Hugh Mehan Professor,et al.  Forming Academic Identities: Accommodation without Assimilation among Involuntary Minorities , 1994 .

[59]  Karen C. Fuson,et al.  A Design Framework for Teaching, Learning Activities Supporting Latino First Graders' Ten-Structured Thinking in Urban Classrooms , 1996, ICLS.

[60]  Geoffrey B. Saxe,et al.  Studying mathematics learning in collective activity , 1998 .

[61]  Etienne Wenger,et al.  Communities of Practice: Learning, Meaning, and Identity , 1998 .

[62]  Walter G. Secada Race, ethnicity, social class, language, and achievement in mathematics. , 1992 .

[63]  D. Ball With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics , 1993, The Elementary School Journal.

[64]  Herbert P. Ginsburg,et al.  Social Class and Racial Influences on Early Mathematical Thinking. , 1981 .

[65]  J. Oakes,et al.  Keeping Track: How Schools Structure Inequality. , 1986 .

[66]  Carol D. Lee Signifying as a Scaffold for Literary Interpretation , 1995 .

[67]  J. Wertsch,et al.  A Social Interactional Analysis of Learning Disabilities Remediation , 1984, Journal of learning disabilities.

[68]  Exploring Achievement Values Among Ethnic Minority Early Adolescents , 1998 .

[69]  Henry A. Giroux Theories of Reproduction and Resistance in the New Sociology of Education: A Critical Analysis , 1983 .

[70]  D. Laplane Thought and language. , 1992, Behavioural neurology.

[71]  N. Nasir,et al.  “Points Ain't Everything”: Emergent Goals and Average and Percent Understandings in the Play of Basketball among African American Students , 2000 .

[72]  D. Stipek Motivation and instruction. , 1996 .

[73]  M. Cole Cultural psychology: a once and future discipline? , 1996, Nebraska Symposium on Motivation. Nebraska Symposium on Motivation.

[75]  Joanna O. Masingila Mathematics Practice in Carpet Laying , 1994 .

[76]  H. Mehan,et al.  Forming academic identities: accomodation without assimilation among involuntary monitories , 1994 .

[77]  Marlaine E. Lockheed Sex and Ethnic Differences in Middle School Mathematics, Science and Computer Science: What Do We Know? A Report. , 1985 .

[78]  D. Martin Mathematics Success and Failure Among African-American Youth: The Roles of Sociohistorical Context, Community Forces, School Influence, and Individual Agency , 2000 .