White papers and research

MMAP environments are particularly strong in giving students opportunities to deal with complex problems that require multiple strategies and skills to solve. In a design environment, students must construct the problem for themselves, state it in mathematical terms, and use tools to plan and analyze a solution. Research results point to this feature of MMAP as a major strength of the program:

Technology in the Mathematics Classroom: Guidelines from the Field
By Shelley Goldman (2001)
. The project directors of all seven of the educational technology programs that were designated as exemplary or promising by the U.S. Department of Education’s Educational Technology Expert Panel have written articles for this special issue of ERIC/IT Update.

• Bushey (1997) completed an analysis of a San Francisco classroom where the Dream Home unit was being field-tested. She compared the same students working in MMAP (a “problem emergent” curriculum) and working on similar measurement problems preconstructed on a measurement worksheet from a textbook. She showed that in the preconstructed task students had no idea they were wrong in their work until they were told by the teacher, while in the MMAP units they defined, grappled with, and solved many problems with the help of feedback from the context.

• Similarly, Cole (1995b) showed how students working on a design in the MMAP unit, The Antarctica Project, developed the ability to analyze their designs for inconsistencies in scale and measurement, and made progressively more sophisticated adaptations of their designs to meet the constraints of the task as given and new constraints that developed as the whole class critiqued one another’s designs.

• A study by Cole (1995a) indicated that the computer-use in MMAP did not correlate with inequitable patterns of participation.

• Berg and Goldman’s study (1996) analyzed the effectiveness of MMAP’s design-oriented approach in engaging students. They found that a sense of ownership, opportunities to use individual expertise, and a final product that seemed real to students were important factors in engaging students in mathematics learning through design activities.

• A paper by Goldman and Knudsen presented to ICLS, documented some of the issues around development of the Pathways project. Download it here.