Elementary pre-service teachers working in mathematical borders
Abstract
Using the border metaphor to portray the common separation between school mathematics and students’ everyday lives, this manuscript describes the processes that a group of elementary pre-service teachers (PSTs) have experienced to learn about their students and bridge these borders. Content analysis of mathematical activities and PSTs' reflections developed in a mathematics teaching methods course reveals that although they asserted that the process of developing bridges between mathematics and everyday experiences has transformed their self-concept and confidence in mathematics and teaching, they mostly use their own knowledge and experience to develop these tasks rather than from their students’. Possibilities to generate more genuine ethnomathematical approaches are discussed.
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AGUIRRE, Julia M. Developing culturally responsive Mathematics teaching. Fall 2012 TODOS Newsletter TODOS — Mathematics For All.
AGUIRRE, Julia M.; TURNER, Erin E.; BARTELL, Tonya Gau; KALINEC-CRAIG, Crystal; FOOTE, Mary Q.; ROTH MCDUFFIE, Amy; DRAKE, Corey. Making Connections in Practice: How Prospective Elementary Teachers Connect to Children’s Mathematical Thinking and Community Funds of Knowledge in Mathematics Instruction. Journal of Teacher Education, v. 64, n. 2, p. 178-192, 2013.
AGUIRRE, Julia M.; ZAVALA, Maria del Rosario; KATANYOUTANANT, Tiffany. Developing Robust Forms of Pre-Service Teachers' Pedagogical Content Knowledge through Culturally Responsive Mathematics Teaching Analysis. Mathematics Teacher Education and Development, v. 14, n. 2, p. 113-136, 2012.
AGUIRRE, Julia; MAYFIELD-INGRAM, Karen; MARTIN, Danny Bernardo. The impact of identity in K-8 mathematics: Rethinking equity-based practices. Reston: NCTM, 2013.
BISHOP, Allan John. Mathematical enculturation: a cultural perspective on Mathematics Education. Boston: Kluwer, 1988.
BOALER, Jo; GREENO, James G. Identity, agency, and knowing in mathematics worlds. In: BOALER, Jo (Ed.). Multiple perspectives on mathematics teaching and learning. Westport: Ablex, 2000, p. 171-200.
BRESLER, Liora. Out of the trenches: the joys (and risks) of cross-disciplinary collaborations. Council of Research in Music Education, n. 152, p. 17-39, 2003.
BRESSER, Rusty. Helping English language learners develop computational fluency. Teaching Children Mathematics, v. 9, n. 6, p. 294-300, feb. 2003.
CARPENTER, Thomas P.; FENNEMA, Elizabeth; FRANKE, Megan Loef; LEVI, Linda; EMPSON, Susan B. Children’s mathematics: Cognitively Guided Instruction. 2nd ed. Portsmouth: Heinemann, 2014.
CHAPIN, Suzanne H.; O’CONNOR, Catherine; ANDERSON, Nancy Canavan. Classrooms discussions in Math: a teacher’s guide for using talk moves to support Common Core and more. 3rd ed. Sausalito: Scholastic, Math Solutions, 2013.
CIVIL, Marta; BERNIER, Emily. Exploring images of parental participation in mathematics education: Challenges and possibilities. Mathematical Thinking and Learning, v. 8, n. 3, p. 309-330, nov. 2009.
CIVIL, Marta; BRATTON, Jill; QUINTOS, Beatriz. Parents and Mathematics Education in a Latino Community: redefining parental participation. Multicultural Education, v. 13, n. 2, p. 60-64, 2005.
CIVIL, Marta; QUINTOS, Beatriz. Engaging families in children's mathematical learning: Classroom visits with Latina mothers. New Horizons for Learning Online Journal, v. 12, n. 1, 2006.
D’AMBROSIO, Ubiratan. Matemática, Ensino e Educação: uma proposta global. Temas e Debates, São Paulo, v. 4, n. 3, p. 1-16, 1991.
D’AMBROSIO, Ubiratan; ROSA, Milton. Ethnomathematics and Its Pedagogical Action in Mathematics Education. In: ROSA, Milton; SHIRLEY, Lawrence; GAVARRETE, Maria Elena; ALANGUI, Wilfredo V. (Ed.). Ethnomathematics and its Diverse Approaches for Mathematics Education. Cham, Switzerland: Springer International Publishing, 2017, p. 285-305.
D'AMBROSIO, Ubiratan. Ethnomathematics and its place in the history and pedagogy of mathematics. For The Learning of Mathematics, v. 5, n. 1, p. 44-48, feb. 1985.
DRAKE, Corey; NORTON-MEIER, Lori A. Creating Third Spaces: Integrating Family and Community Resources into Elementary Mathematics Methods. In: 29th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Lake Tahoe, Nevada, 2007.
FALTIS, Christian. Arts‐Based Pedagogy for Teaching English Learners. In: OLIVEIRA, Luciana (Ed). Handbook of TESOL in K-12. Hoboken: Wiley, 2019, p. 323-338.
FOSNOT, Catherine T.; DOLK, Maarten. Young mathematicians at work: Constructing number sense, addition, and subtraction. Portsmouth: Heinemann, 2001.
FREUDENTHAL, Hans. Mathematics as an Educational Task. Dordrecht: D. Reidel Publishing Company, 1973.
GALINDO, Rene. Reframing the past in the present: Chicana Teacher Role Identity as a Bridging Identity. Education and Urban Society, v. 29, n. 1, 85-102, nov. 1996.
GARRISON, Leslie; MORA, Jill Kerper. Adapting mathematics instruction for English language learners: The language-concept connection. In: ORTIZ-FRANCO, Luis N.; HERNANDEZ, Norma G.; DE LA CRUZ, Yolanda. (Ed.). Changing the faces of mathematics: Perspectives on Latinos. Reston: NCTM, 1999, p. 35-47.
GAY, Geneva. Culturally responsive teaching: theory, research, and practice. 2nd ed. New York: Teachers College Press, 2010.
GONZALEZ, Nora; ANDRADE, R.; CIVIL, Marta; MOLL, Luis C. Bridging funds of distributed knowledge: Creating zones of practices in mathematics. Journal of Education for Students Placed at Risk, v. 6, n. 1 and 2, p. 115-132, 2001.
GRAVEMEIJER, Koeno. Commentary solving word problems: a case of modelling. Learning and Instruction, v. 7, n. 4, p. 389-397, 1997.
HOLSTI, Ole R. Content analysis for the social sciences and humanities. Reading: Addison-Wesley, 1969.
KEATING, Ana Louise. From Borderlands and New Mestizas to Nepantlas and Nepantleras: anzalduan theories for social change. Human Architecture: Journal of the Sociology of Self-Knowledge, v. 4, n. 3, p. 5-16, 2006.
KOKKA, Kari. Addressing dilemmas of social justice mathematics through collaboration of students, educators, and researchers. Educational Considerations, v. 43, n. 1, p. 13-21, 2015.
LADSON-BILLINGS, Gloria. But that’s just good teaching! A case for culturally relevant pedagogy. Theory into Practice, n. 34, p. 159-165, 1995.
LANGE, Jan de. Using and Applying Mathematics in Education. In: BISHOP, Alan John; CLEMENTS, Ken; KEITEL, Christine; KILPATRICK, Jeremy; LABORDE, Colette. (Ed.). International handbook of Mathematics Education. Kluwer Academic Publisher, 1996, p. 49-97.
LESH, Richard A.; HOOVER, Mark; HOLE, Bonnie; KELLY, Anthony Edward; POST, Thomas. Principles for developing thought-revealing activities for students and teachers. In: KELLY, Anthony Edward; LESH, Richard A. (Ed.). Handbook of research design in Mathematics and Science Education. Mahwah: Lawrence Erlbaum Associates, Inc., 2000, p. 591-646.
LO CICERO, Ana Maria; FUSON, Karen C.; ALLEXSAHT-SNIDER, Martha. Mathematizing children’s stories, helping children solve word problems, and supporting parental involvement. In: ORTIZ-FRANCO, Luis N.; HERNANDEZ, Norma G.; DE LA CRUZ, Yolanda. (Ed.). Changing the faces of mathematics: Perspectives on Latinos. Reston: NCTM, 1999, p. 59-70.
LÓPEZLEIVA, Carlos. A. Bilingual Latina/o students model community practices using familiar resources. In: CIVIL Marta; TURNER, Erin E. (Ed.). The Common Core State Standards in Mathematics for English Language Learners, Grades K-8. New York: Teachers College, Columbia University, 2014, p. 95-109.
LOTAN, Rachel A. Group-worthy tasks. Educational Leadership, v. 60, n. 6, p. 72-75, mar. 2003.
MARSHALL, Julia; DONAHUE, David M. Art-centered learning across the curriculum: Integrating contemporary art in secondary school classroom. New York: Teachers College, 2014.
MOLL, Luis C. Literacy research in community and classrooms: a sociocultural approach. In: BEACH, Richard; GREEN, Judith L.; KAMIL, Michael L.; SHANAHAN, Timothy. (Ed.). Multidisciplinary perspectives on literacy research. National Council of Teachers of English, 1992, p. 211-244.
MOLL, Luis C.; GONZÁLEZ, Nora. Engaging life: a funds of knowledge approach to multicultural education. In BANKS, James A.; BANKS, Cherry A. McGee. (Ed.). Handbook of research on multicultural education. New York: Macmillan, 2004, p. 628-634.
MOLL, Luis. C.; GREENBERG, James B. Creating zones of possibilities: Combining social contexts for instruction. In: MOLL, Luis. C. (Ed.). Vygotsky and Education. New York: Cambridge University Press, 1990, p. 319-348.
MOSCHKOVICH, Judit. A situated and sociocultural perspective on bilingual mathematics learners. Mathematical Thinking and Learning, n. 4, n. 2-3, p. 189-212, 2002.
MOSCHKOVICH, Judit. Principles and guidelines for equitable mathematics teaching practices and materials for English language learners. Journal of Urban Mathematics Education, n. 6, p. 45-57, 2013.
MOSCHKOVICH, Judit. Understanding the needs of Latino students in reform-oriented mathematics classrooms. In: ORTIZ-FRANCO, Luis N.; HERNANDEZ, Norma G.; DE LA CRUZ, Yolanda. (Ed.). Changing the faces of mathematics: Perspectives on Latinos. Reston: NCTM, 1999, p. 5-12.
NCTM. National Council of Teachers of Mathematics. Principles and standards for school mathematics. Reston: NCTM, 2000.
NGACBP. National Governors Association Center for Best Practices. Common Core State Standards for Mathematics. Washington, 2010.
PARIS, Django. Culturally Sustaining Pedagogy: A Needed Change in Stance, Terminology, and Practice. Educational Researcher, v. 41, n. 3, p. 93-97, 2012.
PARRISH, Sherry. Number talks: Helping children mental math and computation strategies, grades K-5. Sausalito: Scholastic, Math Solutions, 2014.
PERKINS, Isabel; FLORES, Alfinio. Mathematical notations and procedures of recent immigrant students. Mathematics Teaching in the Middle School, v. 7, n. 6, p. 346-351, feb. 2002.
RAMIREZ, Nora; CELEDÓN-PATTICHIS, Sylvia. Second language development and implications for math classroom. In: CELEDÓN-PATTICHIS, Sylvia; RAMIREZ, Nora (Ed.). Beyond Good Teaching: Advancing Mathematics Education for ELLs. Reston: NCTM, 2012, p. 19-38.
SIMIC-MULLER, Ksenjia; TURNER, Erin E.; VARLEY, Maura C. Math club: problem posing. Teaching Children Mathematics, v.16, n. 4, p. 206-212, nov. 2009.
STEIN, Mary Kay; SMITH, Margareth. S.; HENNINGSEN, Marjorie A.; SILVER, Edward A. Implementing standards-based mathematics instruction: a casebook for professional development. New York: Teachers College Press, 2000.
VAN DE WALLE, John A.; KARP, Karen S.; BAY-WILLIAMS, Jennifer M. Elementary and Middle School Mathematics: Teaching Developmentally (8th ed). Upper Saddle River: Pearson, 2013.
WEBB, David; VAN DER KOOIJ, Henk; GEIST, Monica. R. Design research in the Netherlands: introducing logarithms using Realistic Mathematics Education. Journal of Mathematics Education at Teachers College, v. 2, n. 1, p. 47-52, 2011.
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