This study explored the problem-solving schemas developed by 7th-grade pre-algebra students as they participated in a teaching experiment that was designed to help students develop effective schemas for solving algebraic problem situations involving contexts of (1) growth and change and (2) size and shape. This article describes the qualities and…

Recently, the author has been fortunate to be a visitor in a number of classrooms in the United States, England and Europe. On one such visit to an Elementary School in Columbia, Missouri, the teachers accepted him into their normal classrooms for their normal lessons. He moved between three classes: Grade 1, Grade 2 and Grade 4. A snapshot…

This study investigated the effects of the Self-Determined Learning Model of Instruction (SDLMI) on the academic skill performance of three junior high school students with moderate to severe intellectual disabilities. The academic skills taught were aligned to the district general curriculum, and extended benchmarks were individually determined.…

Models and modeling are frequently used as instructional tools in science education to convey important information concerning both the explanatory and structural features of topic areas in science. The efficacy of models as such rests almost entirely upon students' ability to conceptualize them as abstracted "representations" of…

This book published in 1987 provides open-ended activities to extend the imagination and creativity of students and encourage them to examine their feelings and values. Williams' model of cognitive-intellective and affective-feeling domains are addressed. Nearly 60 pages of exercises focus on the historical, the scientific, the mysterious, the…

A mental model is a knowledge structure composed of concepts and the relations between them. Mental models are distinct from declarative and procedural knowledge--they go beyond semantic relationships and skills acquisition and contain varied intellectual skills and knowledge. This study describes an initial investigation into the construct…

This study was designed to test preschoolers' thinking about strategies and the relationship between strategy selection and performance through the use of computer-presented puzzle tasks. A total of 61 children between the ages of 3 and 5 years were observed to see whether they used trial and error, model consultation, or a mixed strategy to solve…

This book provides teachers with effective strategies to help encourage all students but particularly young women who are apprehensive about science. Sections include: (1) Identifying and Overcoming Barriers to Success; (2) Specific Tactics for Classroom Success; and (3) Classroom Activities. This monograph features creative activities in life…

This document is intended as a resource and guide to help teachers integrate a problem-centered approach into their curricula. It outlines the typical components of problem-centered mathematics and science activities, and offers practical suggestions, examples, and resources to assist this endeavor. The first section of this document, "What is…

The purpose of this paper is to investigate how drawings can contribute to generating new information when solvers use drawings in solving mathematical problems. For this purpose, two episodes, in which drawings enabled a solver to find ideas useful for his solutions, were qualitatively and closely analyzed, especially focusing on what roles…

This paper reports on an empirical study of educators' perceptions of learning concepts, reviews the cognitive learning literature, and argues for an expanded view of conceptual knowledge and its role in education and training. The report begins with discussions of changing views of concept learning and declarative and procedural components of…

Characteristics of successful and unsuccessful problem solvers in categorization tasks are examined in this study of undergraduate students. Findings are reviewed of the categorization and solution tasks undertaken by a group (N=21) of science majors at a private university. The subjects were classified as either successful or unsuccessful in…

Gifted students in grades 6-8 were divided into two experimental groups, one receiving traditional creative problem-solving training and the other receiving creative problem-solving with transfer strategies infused; there was also a control group receiving training in various memory tasks, analogical skills, and logic exercises. After the…

A series of studies was conducted over a three-year period to determine whether the teaching technique developed in the 1960s called "inquiry training" is effective for teaching problem-solving, thinking, and/or decision-making skills. (Inquiry training is a process in which students are provided with a puzzling situation, are given the…

A study was conducted to examine computer programming as a problem solving activity. Thirteen fifth grade children were selected by their teacher from an above average class to use Apple IIe microcomputers. The investigator conducted sessions of 40-50 minutes with the children in groups of two or three. Four problems, incorporating the programming…