Readings for Elementary Methods Courses
Children’s Mathematical Thinking
Carpenter, T., Fennema, E., Franke, M., Levi, L. & Empson, S. (1999). Children’s Mathematics: Cognitively Guided Instruction, The National Council of Teachers of Mathematics, Inc. Heinemann: Portsmouth, NH.
Carpenter, T., Franke, M. and Levi, L (2003). Thinking Mathematically: Integrating Arithmetic and Algebra in Elementary School, The National Council of Teachers of Mathematics, Inc. Heinemann: Portsmouth, NH.
Empson, S. (1995). Using sharing situations to help children learn fractions, Teaching Children Mathematics, 2 (2), 110-114.
Empson, S. (2001). Equal sharing and the roots of fraction equivalence. Teaching Children Mathematics, 7 (7), 21-25.
Falkner, K., Levi, L. & Carpenter, T. (1999). Children’s understanding of equality: A foundation for algebra. Teaching Children Mathematics, 6 (4), 232-236.
Heibert, J., Carpenter, T., Fennema, E., Fuson, K., Wearne, D., Murray, H., Oliver, A., & Human, P. (1997). A day in the life of one cognitively guided instruction classroom. In. Making sense: Teaching and learning mathematics with understanding. (pp.75-100) Portsmouth, NH: Heinemann.
Khisty, L. L., & Viego, G. (1999). Challenging the conventional wisdom: A case study. In W. Secada (Ed.), Changing the faces of mathematics: Perspectives on Latinos (pp. 71-80). Reston, VA: National Council of Teachers of Mathematics.
Lampert, Magdalene (2001). Teaching Problems and the Problems of Teaching. New Haven: Yale University Press.
Community-Family-Linguistic Funds of Knowledge
Civil, M. & Kahn, L. H. (2001). Mathematics instruction developed from a garden theme. Teaching Children Mathematics, 7 (7), 400-405.
Flores, A. (1997). Sí se puede. It can be done: Quality mathematics in more than one language. In J. Tentracosta (Ed.), Multicultural and gender equity in the mathematics classroom (p. 81-91). Reston, VA: National Council of Teachers of Mathematics.
Garrison, L. (1997). Making the NCTM Standards work for Emergent English Speakers. Teaching Children Mathematics, 133-138.
Garrison, L., Ponce, G., and Amaral O. (2007). “Ninety percent of the game is half mental.” Teaching Children Mathematics. August 2007.
González, N., Andrade, R., & Carson, C. (2001). Creating links between home and school mathematics practices. In E. McIntyre, A. Rosebery, & N. Gonzalez (Eds.), Classroom diversity: Connecting curriculum to students’ lives (pp. 100–114). Portsmouth, NH: Heinemann.
Gutstein E. & Peterson, B. (2005). Rethinking Mathematics: Teaching Social Justice by the Numbers (pp. 117-120). Milwaukee: Rethinking Schools Publications.
Kahn, L. & Civil, M. (2001). Unearthing the mathematics of a classroom garden. In E. McIntyre, A. Rosebery, & N. González (Eds.), Classroom diversity: Connecting school to students’ lives (pp. 37-50). Portsmouth, NH: Heinemann.
Kyle, D., McIntyre, E., & Moore, G. (2001). Connecting mathematics instruction with the families of young children. Teaching Children Mathematics, 80-86.
Lo Cicero, A., Fuson, K., & Allexsaht-Snider, M. (2001), Mathematizing children’s stories, helping children solve word problems, and supporting parental involvement. In W. Secada (Ed.) Changing the Faces of Mathematics: Perspectives on Latinos (pp. 59-70). Reston, VA: NCTM.
Moschkovich, J. (1999). Supporting the participation of English language learners in mathematical discussions. For the Learning of Mathematics, 19, 11-19.
Moschkovich, J.N. (1999) Learning mathematics in two languages. In Walter Secada (Ed) Changing the faces of mathematics: Perspectives on Multiculturalism and gender equity. Reston, VA: NCTM. pp. 85-93. 1.
Perkins, I., & Flores, A. (2002). Mathematical notations and procedures of recent immigrant students. Mathematics Teaching in the Middle School, 7 (6), 346-351.
Philipp, Randolph A., Multicultural Mathematics and Alternative Algorithms, Teaching Children Mathematics, Nov 1996, 128-33
Torres-Velásquez, D. (2004). Culturally responsive mathematics teaching and English Language Learners. Teaching Children Mathematics, 249-255.
Turner, E. & Font Strawhun, B. (2007, May). Posing problems that matter: Investigating school overcrowding. Teaching Children Mathematics. (pp. 457-463).