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How Equity Concerns Lead to Attention to Mathematical Discourse

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Equity in Discourse for Mathematics Education

Part of the book series: Mathematics Education Library ((MELI,volume 55))

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.

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Notes

  1. 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. 2.

    For a description of how discourse practices involve actions and goals and an analysis of the role of goals in the appropriation of mathematical practices, see Moschkovich (2004). For an analysis of how meanings for utterances reflect particular ways to focus attention, see Moschkovich (2008).

  3. 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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Brenner, M. (1998). Adding cognition to the formula for culturally relevant instruction in mathematics. Anthropology and Education Quarterly, 29(2), 214–244.

    Article  Google Scholar 

  • Cavanagh, S. (2005). Math: The not-so-universal language. Education Week, 241(42), 1–22.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Cole, M. (1996). Cultural psychology: A once and future discipline. Cambridge: Belknap/Harvard University Press.

    Google Scholar 

  • Crowhurst, M. (1994). Language and learning across the curriculum. Scarborough: Allyn and Bacon.

    Google Scholar 

  • D’Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 5(1), 44–48.

    Google Scholar 

  • Finegan, E., & Besnier, N. (1989). Language: Its structure and use. New York: Harcourt Brace Jovanovich.

    Google Scholar 

  • 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.

    Google Scholar 

  • García, E., & González, R. (1995). Issues in systemic reform for culturally and linguistically diverse students. Teachers College Record, 96(3), 418–431.

    Google Scholar 

  • Gee, J. (1996). Social linguistics and literacies: Ideology in discourses (2nd ed.). London: Taylor & Francis.

    Google Scholar 

  • Gee, J. (1999). An introduction to discourse analysis: Theory and method. London: Routledge.

    Google Scholar 

  • González, N. (1995). Processual approaches to multicultural education. Journal of Applied Behavioral Science, 31(2), 234–244.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Goody, J. (1977). The domestication of the savage mind. Cambridge: Cambridge University Press.

    Google Scholar 

  • Gutiérrez, K., & Rogoff, B. (2003). Cultural ways of learning: Individual traits or repertoires of practice? Educational Researcher, 32(5), 19–25.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Heath, S. (1983). Ways with words: Language, life and work in communities and classrooms. Cambridge: Cambridge University Press.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Lave, J. (1988). Cognition in practice: Mind, mathematics and culture in everyday life. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • 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.

    Google Scholar 

  • Lipka, J., with Mohatt, G., & the Ciulistet group. (1998). Transforming the culture of schools: Yup’ik Eskimo examples. Mahwah: Lawrence Erlbaum Associates.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • McDermott, R., & Varenne, H. (1995). Culture as disability. Anthropology and Education Quarterly, 26(3), 324–348.

    Article  Google Scholar 

  • Moschkovich, J. (1999). Supporting the participation of English language learners in mathematical discussions. For the Learning of Mathematics, 19(1), 11–19.

    Google Scholar 

  • Moschkovich, J. (2002). A situated and sociocultural perspective on bilingual mathematics learners. Mathematical Thinking and Learning, 4(2/3), 189–212.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Moschkovich, J. (2007b). Examining mathematical discourse practices. For the Learning of Mathematics, 27(1), 24–30.

    Google Scholar 

  • Moschkovich, J. (2007c). Using two languages when learning mathematics. Educational Studies in Mathematics, 64(2), 121–144.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Nunes, T., Schliemann, A., & Carraher, D. (1993). Street mathematics and school mathematics. Cambridge: Cambridge University Press.

    Google Scholar 

  • 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.

    Google Scholar 

  • O’Halloran, K. (2005). Mathematical discourse: Language, symbolism and visual images. New York: Continuum.

    Google Scholar 

  • Perry, W. (1999). Forms of intellectual and ethical development in the college years: A scheme. San Francisco: Jossey-Bass Publishers.

    Google Scholar 

  • Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. London: Routledge and Kegan Paul.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Setati, M. (1998). Code-switching in a senior primary class of second-language mathematics learners. For the Learning of Mathematics, 18(1), 34–40.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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).

    Google Scholar 

  • 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.

    Google Scholar 

  • Vogt, L., Jordan, C., & Tharp, R. (1987). Explaining school failure, producing school success: Two cases. Anthropology and Education Quarterly, 18(4), 276–286.

    Article  Google Scholar 

  • Vygotsky, L. (1978). Mind in society: The development of higher psychological processes. Cambridge: Harvard University Press.

    Google Scholar 

  • Vygotsky, L. (1986, rev’d edn). Thought and language. Cambridge: Massachussetts Institute of Technology Press.

    Google Scholar 

  • Walkerdine, V. (1988). The mastery of reason: Cognitive development and the production of rationality. London: Routledge.

    Google Scholar 

  • Zentella, A. (1997). Growing up bilingual: Puerto Rican children in New York. Malden: Blackwell.

    Google Scholar 

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Correspondence to Judit N. Moschkovich .

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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

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