ERIC Number: ED465499
Record Type: Non-Journal
Publication Date: 1996-Jun
Reference Count: N/A
Student Learning in Linear Algebra: The Gateways To Advance Mathematical Thinking Project.
This document provides a preliminary report of the study Gateways To Advance Mathematical Thinking (GAMT) run by Educational Development Center, Inc. (EDC). The study was designed to see what types of reasoning students who have recently completed a linear algebra course apply to problems in algebraic thinking. Student interviews were used as the method of research with six questions on dot products, systems of linear equations, and linear transformations. In analyzing the data, six main issues were chosen as the focus of inquiry: dot product; relationship between a linear transformation and its matrix; solving a system of linear equations; meaning, number, and nature of the solution to a system of linear equations; visualization; and linear thinking: properties of a linear transformation. Preliminary results are based on early work with "dot product" and "meaning, number, and nature of the solution to a system of linear equations." Most of the paper consists of transcripts of interviews with students during their attempts to solve problems. Annotation of the interviews and analysis is also included. (MM)
Descriptors: Algebra, Higher Education, Mathematical Concepts, Mathematics Activities, Mathematics Instruction, Problem Solving, Thinking Skills, Transformations (Mathematics), Vectors (Mathematics)
For full text: http://archives.math.utk.edu/CTM.
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Sponsor: National Science Foundation, Arlington, VA.
Authoring Institution: Education Development Center, Inc., Newton, MA.