Off-campus UMass Amherst users: To download dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.

Non-UMass Amherst users, please click the view more button below to purchase a copy of this dissertation from Proquest.

(Some titles may also be available free of charge in our Open Access Dissertation Collection, so please check there first.)

Spatial components of mathematical problem solving

Rachel E Wing, University of Massachusetts Amherst


It was hypothesized that the early part of mathematical problem solving, specifically the processes of model integration and analogical mapping, tap spatial abilities. Testing the hypothesis, this study explored the potential for spatial reasoning in both the early and late processes of problem solving. An interference paradigm that employed memory for spatial dot patterns and number sequences demonstrated that the early part of solving a math problem requires more spatial resources than the late portion. Additional data from two spatial tasks offered insight into the specific forms of spatial reasoning that may support mathematical performance.

Subject Area

Cognitive therapy

Recommended Citation

Wing, Rachel E, "Spatial components of mathematical problem solving" (2005). Doctoral Dissertations Available from Proquest. AAI3163718.