Skip to main content

References References

Borasi, R. (1994). Capitalizing on Errors as "Springboards for Inquiry": A Teaching Experiment. Journal for Research in Mathematics Education. 25(2), 166-208.
Bruner, J. S. (1964). The Course of Cognitive Growth. American Psychologist, 19(1), 1-15.
Fendel, D., Resek, D., Alper, L., & Fraser, S. (2000). Interactive Mathematics Program: Integrated high school mathematics, Year 4. Key Curriculum Press.
Freeman, S., Eddy, S. L., McDonough, M., Smith, M. K., Okoroafor, N., Jordt, H., & Wenderoth, M. P. (2014). Active learning increases student performance in science, engineering, and mathematics. Proceedings of the National Academy of Sciences, 111(23), 8410-8415.
Heid, M. K. (1988). Resequencing skills and concepts in applied calculus using the computer as a tool. Journal for Research in Mathematics Education, 19(1), 3-25.
Kaput, J. J., Blanton, M. L., & Moreno, L. (2008). Algebra from a symbolization point of view. In J. J. Kaput, D. W. Carraher, & M. L. Blanton (Eds.), Algebra in the early grades (pp. 19-55). New York, NY: Taylor and Francis Group.
Kieran, C., & Sfard, A. (1999). Seeing through Symbols: The Case of Equivalent Expressions. Focus on Learning Problems in Mathematics. 21(1), 1-17.
Lapp, D.A., Ermete, M., Brackett, N., & Powell, K. (2013). Linked representations in algebra: Developing symbolic meaning. Mathematics Teacher, 107(4), 306-312.
Leinhardt, G, Zaslavsky, O, and Stein M. (1990) Functions, Graphs and Graphing: Tasks, Learning and Teaching. Review of Educational Research, 60(1), 37-42.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Author.
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common Core State Standards. Washington, DC: Authors.
Pirie, S. and Kieren, T. (1994). Growth in mathematical understanding: How can we characterize it and how can we represent it? Educational Studies in Mathematics, 26, 165-190.
Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12(2), 151-169.
Sfard, A. (1991). On the Dual Nature of Mathematical Conceptions: Reflections on Processes and Objects as Different Sides of the Same Coin. Educational Studies in Mathematics. 22(1), 1-36.
Sfard, A., & Linchevski, L. (1994). The Gains and the Pitfalls of Reification--The Case of Algebra. Educational Studies in Mathematics. 26(2-3), 191-228.
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.