Abstract
This chapter examines the connections between equity and mathematical discourse and explores how discourse is relevant to equity. Through commentary on the preceding three chapters, I discuss four issues raised by different approaches to equity and to discourse: multiple approaches to equity, definitions of ‘discourse’, aspects of school discourse practices, and challenges with ethno-mathematical approaches. Next, I summarize what research tells us about equitable discourse practices for students from non-dominant communities in mathematics classrooms. In closing, I use the four chapters and my own work (Moschkovich, Language(s) and learning mathematics: Resources, challenges, and issues for research. In Moschkovich, J. (Ed.), Language and mathematics education: Multiple perspectives and directions for research (pp. 1–28). Charlotte: Information Age Publishing, 2010) to make recommendations for future research.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
I use the terms ‘practice’ and ‘practices’ in the sense of Scribner (1984), where a practice account of literacy serves to “highlight the culturally organized nature of significant literacy activities and their conceptual kinship to other culturally organized activities involving different technologies and symbol systems” (p. 13).
- 2.
- 3.
Work in mathematics seems to have focused on content more than language practices. Both of the works cited in the above paragraph focus on the content of instruction rather than on the language practices of the local community, by bringing into the classroom mathematical topics based on local activity. It is possible that some community language practices were also brought into classrooms. By knowing the student communities well, the researchers and teachers were most likely aware of language practices in the community.
References
AERA. (2006). Do the math: Cognitive demand makes a difference. Research Points, 4(2), 1–4.
Au, K. (1980). Participation structures in a reading lesson with Hawaiian children: Analysis of a culturally appropriate instructional event. Anthropology and Education Quarterly, 11(2), 91–115.
Blachowicz, C., & Fisher, P. (2000). Vocabulary instruction. In M. Kamil, P. Mosenthal, P. Pearson, & R. Barr (Eds.), Handbook of reading research (Vol. 3, pp. 503–523). Mahwah: Lawrence Erlbaum Associates.
Brenner, M. (1998). Adding cognition to the formula for culturally relevant instruction in mathematics. Anthropology and Education Quarterly, 29(2), 214–244.
Cavanagh, S. (2005). Math: The not-so-universal language. Education Week, 241(42), 1–22.
Cobb, P., Stephan, M., McClain, K., & Gravemeijer, K. (2001). Participating in classroom mathematical practices. The Journal of the Learning Sciences, 10(1–2), 113–163.
Cole, M. (1996). Cultural psychology: A once and future discipline. Cambridge: Belknap/Harvard University Press.
Crowhurst, M. (1994). Language and learning across the curriculum. Scarborough: Allyn and Bacon.
D’Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 5(1), 44–48.
Finegan, E., & Besnier, N. (1989). Language: Its structure and use. New York: Harcourt Brace Jovanovich.
Forman, E. (1996). Learning mathematics as participation in classroom practice: Implications of sociocultural theory for educational reform. In L. Steffe, P. Nesher, P. Cobb, G. Goldin, & B. Greer (Eds.), Theories of mathematical learning (pp. 115–130). Mahwah: Lawrence Erlbaum Associates.
García, E., & González, R. (1995). Issues in systemic reform for culturally and linguistically diverse students. Teachers College Record, 96(3), 418–431.
Gee, J. (1996). Social linguistics and literacies: Ideology in discourses (2nd ed.). London: Taylor & Francis.
Gee, J. (1999). An introduction to discourse analysis: Theory and method. London: Routledge.
González, N. (1995). Processual approaches to multicultural education. Journal of Applied Behavioral Science, 31(2), 234–244.
González, N., Andrade, R., Civil, M., & Moll, L. (2001). Bridging funds of distributed knowledge: Creating zones of practices in mathematics. Journal of Education for Students Placed at Risk, 6(1–2), 115–132.
Goody, J. (1977). The domestication of the savage mind. Cambridge: Cambridge University Press.
Gutiérrez, K., & Rogoff, B. (2003). Cultural ways of learning: Individual traits or repertoires of practice? Educational Researcher, 32(5), 19–25.
Hakuta, K., & McLaughlin, B. (1996). Bilingualism and second language learning: Seven tensions that define the research. In D. Berliner & R. Calfee (Eds.), Handbook of educational psychology (pp. 603–621). New York: Macmillan.
Halliday, M. (1978). Sociolinguistic aspects of mathematics education. In M. Halliday (Ed.), Language as social semiotic: The social interpretation of language and meaning (pp. 194–204). London: Edward Arnold.
Heath, S. (1983). Ways with words: Language, life and work in communities and classrooms. Cambridge: Cambridge University Press.
Heath, S. (1986). Sociocultural contexts of language development. In California, Office of Bilingual Bicultural Education, Beyond Language: Social and Cultural Factors in Schooling Language Minority Students (pp. 143–186), Developed by the Bilingual Education Office, California State Department of Education, Sacramento. Los Angeles: California State University, Los Angeles, Evaluation, Dissemination and Assessment Center.
Khisty, L. (1995). Making inequality: Issues of language and meaning in mathematics teaching with Hispanic students. In W. Secada, E. Fennema, & L. Adajian (Eds.), New directions for equity in mathematics education (pp. 279–297). New York: Cambridge University Press.
Lave, J. (1988). Cognition in practice: Mind, mathematics and culture in everyday life. Cambridge: Cambridge University Press.
Lee, C. (1993). Signifying as a scaffold for literary interpretation: The pedagogical implications of an African American discourse genre. Urbana: National Council of Teachers of English.
Lipka, J., with Mohatt, G., & the Ciulistet group. (1998). Transforming the culture of schools: Yup’ik Eskimo examples. Mahwah: Lawrence Erlbaum Associates.
MacSwan, J. (2000). The threshold hypothesis, semilingualism, and other contributions to a deficit view of linguistic minorities. Hispanic Journal of Behavioral Sciences, 22(91), 3–45.
McDermott, R., & Varenne, H. (1995). Culture as disability. Anthropology and Education Quarterly, 26(3), 324–348.
Moschkovich, J. (1999). Supporting the participation of English language learners in mathematical discussions. For the Learning of Mathematics, 19(1), 11–19.
Moschkovich, J. (2002). A situated and sociocultural perspective on bilingual mathematics learners. Mathematical Thinking and Learning, 4(2/3), 189–212.
Moschkovich, J. (2004). Appropriating mathematical practices: A case study of learning to use and explore functions through interaction with a tutor. Educational Studies in Mathematics, 55(1–3), 49–80.
Moschkovich, J. (2007a). Bilingual mathematics learners: How views of language, bilingual learners, and mathematical communication affect instruction. In N. Nasir & P. Cobb (Eds.), Improving access to mathematics: Diversity and equity in the classroom (pp. 89–104). New York: Teachers College Press.
Moschkovich, J. (2007b). Examining mathematical discourse practices. For the Learning of Mathematics, 27(1), 24–30.
Moschkovich, J. (2007c). Using two languages when learning mathematics. Educational Studies in Mathematics, 64(2), 121–144.
Moschkovich, J. (2008). “I went by twos, he went by one”: Multiple interpretations of inscriptions as resources for mathematical discussions. The Journal of the Learning Sciences, 17(4), 551–587.
Moschkovich, J. (2010). Language(s) and learning mathematics: Resources, challenges, and issues for research. In J. Moschkovich (Ed.), Language and mathematics education: Multiple perspectives and directions for research (pp. 1–28). Charlotte: Information Age Publishing.
Moschkovich, J., & Nelson-Barber, S. (2009). What mathematics teachers need to know about culture and language. In B. Greer, S. Mukhopadhyay, A. Powell, & S. Nelson-Barber (Eds.), Culturally responsive mathematics education (pp. 111–136). New York: Routledge.
Nelson-Barber, S., & Lipka, J. (2008). Rethinking the case for culture-based curriculum: Conditions that support improved mathematics performance in diverse classrooms. In M. Brisk (Ed.), Language, culture, and community in teacher education (pp. 99–123). Mahwah: Lawrence Erlbaum Associates.
Nunes, T., Schliemann, A., & Carraher, D. (1993). Street mathematics and school mathematics. Cambridge: Cambridge University Press.
O’Connor, M. (1998). Language socialization in the mathematics classroom: Discourse practices and mathematical thinking. In M. Lampert & M. Blunk (Eds.), Talking mathematics in school: Studies of teaching and learning (pp. 17–55). New York: Cambridge University Press.
O’Halloran, K. (2005). Mathematical discourse: Language, symbolism and visual images. New York: Continuum.
Perry, W. (1999). Forms of intellectual and ethical development in the college years: A scheme. San Francisco: Jossey-Bass Publishers.
Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. London: Routledge and Kegan Paul.
Pressley, M. (2000). What should comprehension instruction be the instruction of? In M. Kamil, P. Mosenthal, P. Pearson, & R. Barr (Eds.), Handbook of Reading Research (Vol. 3, pp. 545–561). Mahwah: Lawrence Erlbaum Associates.
Radford, L., Bardini, C., & Sabena, C. (2007). Perceiving the general: The multisemiotic dimension of students’ algebraic activity. Journal for Research in Mathematics Education, 38(5), 507–530.
Scribner, S. (1984). Studying working intelligence. In B. Rogoff & J. Lave (Eds.), Everyday cognition: Its development in social context (pp. 9–40). Cambridge: Harvard University Press.
Setati, M. (1998). Code-switching in a senior primary class of second-language mathematics learners. For the Learning of Mathematics, 18(1), 34–40.
Setati, M., & Adler, J. (2001). Between languages and discourses: Code-switching practices in primary multilingual mathematics classrooms in South Africa. Educational Studies in Mathematics, 43(3), 243–269.
Spindler, G., & Spindler, L. (1997). Ethnography: An anthropological view. In G. Spindler (Ed.), Education and cultural process: Anthropological approaches (pp. 151–156). Prospect Heights: Waveland Press.
Valdés-Fallis, G. (1978). Code switching and the classroom teacher. In Language in education: Theory and practice (Vol. 4, pp. 1–26). Arlington: Center for Applied Linguistics (ERIC Document Reproduction Service No. ED153506).
Valdés-Fallis, G. (1979). Social interaction and code switching patterns: A case study of Spanish/English alternation. In G. Keller, R. Teichner, & S. Viera (Eds.), Bilingualism in the bicentennial and beyond (pp. 86–96). Jamaica: Bilingualism Press.
Vogt, L., Jordan, C., & Tharp, R. (1987). Explaining school failure, producing school success: Two cases. Anthropology and Education Quarterly, 18(4), 276–286.
Vygotsky, L. (1978). Mind in society: The development of higher psychological processes. Cambridge: Harvard University Press.
Vygotsky, L. (1986, rev’d edn). Thought and language. Cambridge: Massachussetts Institute of Technology Press.
Walkerdine, V. (1988). The mastery of reason: Cognitive development and the production of rationality. London: Routledge.
Zentella, A. (1997). Growing up bilingual: Puerto Rican children in New York. Malden: Blackwell.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Moschkovich, J.N. (2012). How Equity Concerns Lead to Attention to Mathematical Discourse. In: Herbel-Eisenmann, B., Choppin, J., Wagner, D., Pimm, D. (eds) Equity in Discourse for Mathematics Education. Mathematics Education Library, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2813-4_6
Download citation
DOI: https://doi.org/10.1007/978-94-007-2813-4_6
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2812-7
Online ISBN: 978-94-007-2813-4
eBook Packages: Humanities, Social Sciences and LawEducation (R0)