Gateways to Advanced Mathematical
Thinking
A project of
Education Development Center
Gateways to Advanced Mathematical Thinking was a
dual curriculum development/research project funded by the
National Science Foundation (DUE 9450731). The development
component of the project built a model curriculum module for
use with undergraduates, and particularly with preservice
teachers, which motivates appreciation for mathematics,
focuses on conceptual understanding without sacrificing
formal techniques, and makes explicit connections to the
high school curriculum. Topics include precalculus methods
for solving optimization problems, both exactly and
approximately. Another working group of the GAMT project
researched student understanding of basic approaches in
linear algebra. Students were interviewed with problems
designed to show the extent to which they could use
reasoning by linearity in algebraic and geometric
situations.
Gateways to Advanced Mathematical Thinking (DUE
9450731)
Al Cuoco, PI
Wayne Harvey, CoPI

Optimization
Click here to request samples
 Table of Contents and
Introduction
 Part1: Geometric
Techniques
 Minimizing
Distance
 Maximizing
Area
 Contour
Lines
 Part 2: Algebraic
Techniques
 Squares are never
negative
 The Arithmetic
Geometric Mean Inequality
 Part 3: Graphical
Techniques
 The Box
Problem

Table of Contents of the Making Mathematical Connections
project
Table of Contents of the Making the Connections project
For information about more projects for teachers and
students of mathematics, visit the websites of EDC's
Division
of Mathematics Learning and Teaching and
Center
for Mathematics
Education.
©
Copyright 2004 Education Development Center, Inc.
(EDC)
