THE EFFECTS OF A PROBLEM SOLVING ORIENTED MATHEMATICS PROGRAM ON GIFTED FIFTH-GRADE STUDENTS
Abstract
The purpose of the investigation was to determine the effects of a problem solving oriented mathematics program on students mathematics achievement, computational proficiency, attitudes toward mathematics, and mathematical self concepts. Additionally an attempt was made to describe the learning characteristics of gifted students, and how computer problem solving affects their mathematical development. High ability fifth grade students participated in a year long class in which the time spent on computation was reduced, and in which the major emphasis was placed on problem solving and concept development, with calculators and microcomputers used extensively as tools. Statistical analysis indicated a significant difference favoring the treatment group on advanced topics and computation measures, with no evidence of significant differences between the treatment and comparison groups on measures of rate of learning, enjoyment of mathematics, value of mathematics, and self-concept. Analysis of student computer programs and observation of the students indicated that extensive computer problem solving (1) enhanced students' understanding of mathematical topics to an advanced level, (2) that computer programming aided in development of problem solving strategies, (3) and using problem solving strategies aided in the development of computer programming.
Degree
Ph.D.
Subject Area
Mathematics education
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