Discusses the nature and role of visualization in the study of mathematics. Also includes a list of seven broad methods (often referred to as the design spectrum) by which individuals solve problems. (JN)

Describes how elementary school teachers demonstrated for themselves and their students how using simple drawings and visualization can improve problem-solving ability. (ASK)

By carefully watching and listening to his students explain how they solved simple physics problems, one college instructor gained insight into how students visualize problems and developed techniques to help students change perspective more easily. Student metacognitive skills, student confidence, and student-teacher communication have also…

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

Discusses the development of visual thinking in students. Also presents a strategy that incorporates visualization exercises within the framework of traditional mathematics. The technique appears successful for students studying geometry, fractions, and problem solving. Visualization abilities increase understanding and therefore give students…

The Multiple Activities Curriculum, developed by the Stanford University Center for Educational Research, broadens the scope of classroom experiences and thinking skills required, so that students weak in the traditional academic skills of reading and language have more chance to participate in class and to feel worthwhile. (Author/SJL)

This article presents a lesson plan for teaching students the third of five steps for solving mathematical problems, "lining up a plan." Steps for teaching students to visualize the problem and draw a picture of the problem are given. (DB)

Visualization is an effective technique for determining exactly what students must do to solve a mathematics problem. Pictures and charts can be used to help children understand which mathematics facts are present and which are missing--an important step toward problem solving. (PP)

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Proposes the use of humor and the personalization of word problems by inserting students' names in the problem statement as methods of gaining students' attention. Illustrates their use in a mixture problem and the Tower of Hanoi problem. (MDH)

A proposition that 3-D CAD provides an array of unambiguous solutions to engineering problems is illustrated. This proposition assumes that engineering problems are conceived in parallel processing mode while they are solved in sequential processing mode. Circle construction analysis, parallel equidistant planes, and solid modeling are discussed.…

An approach to reduce the barrier between two-dimensional computer-aided drafting and three-dimensional constructive solids modeling is graphically illustrated. This process, or some derivative, encompasses a significant portion of the future direction for engineering graphics education. (KR)

Described is a pilot course which includes a designed set of exercises to instruct students in procedures for creating solid models. A detailed description and analysis of students' various approaches used in completing a final design project are included. (KR)