Research Foundation - Math Elevations

The CRA approach is a three-step method that begins by using three-dimensional (concrete) materials to illustrate math concepts, then transforming the skill into the semi-concrete or representational phase (drawing pictures, circles, dots), and finally bridging the concept into the abstract (or symbolic) form of mathematics. The CRA approach is grounded in the work of Jerome Bruner*, Lev Vygotsky**, and Jean Piaget*** on children’s learning of mathematical ideas.

• Provided in the following PDF is a report by an independent research study, conducted in 2008, on the Math Elevations™ program.
• A white paper on Math Elevations is also available in PDF.
• Teacher reviews from Learning Magazine are available in PDF.

ME Report.9.29.08
MN Math Corp Progress Reports
NPH_ME_WhitePaper
NPH_WhitePaper_8.5x11
Research-MN School Math RTI

*Bruner, J. (1960). The Process of Education. Cambridge, MA. Harvard University Press.

** Vygotsky, L.S. (1962). Thought and Language. E. Hanfmann & G. Vakar, Trans.. Cambridge, MA: MIT Press. (Original work published 1934).

*** Piaget, J. (1957). Construction of Reality in the Child. London: Routledge & Kegan Paul.

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