This investigation used a clinical interview technique to identify the difficulties of kindergarten children who are unable to develop models or representations of simple arithmetic story problems. It is hypothesized that effective human problem solvers first generate some type of "physical model" and use this model to create a…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of first and second grade mentally gifted children. The lessons are organized within the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (10 lessons), memory (3 lessons),…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of third and fourth grade mentally gifted children. The lessons are organized within the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (10 lessons), memory (6 lessons),…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of fifth and sixth grade mentally gifted children. The lessons are organized within the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (16 lessons), memory (7 lessons),…

A set of computer implemented models are presented which can assist in developing problem solving strategies. The three levels of expertise which are covered are beginners (those who have completed at least one university physics course), intermediates (university level physics majors in their third year of study), and professionals (university…

This yearbook is intended to be primarily a highlighting of the essential elements of those basic mathematical understandings which should be continually developed and extended throughout the entire mathematics curriculum. An attempt is also made to illustrate training in mathematical modes of thought, sometimes labeled problem solving or creative…

The purpose of this study was to determine (1) whether the development of combinatorial schema as defined by Piaget is dependent on, or independent of, instruction, and (2) whether or not a prescribed treatment compatible with contemporary learning theories can develop the combinatorial operational abilities of students who are in a transitional…

Eighteen research reports related to mathematics education are abstracted and analyzed in this publication. Three of the reports deal with aspects of learning theory, seven with topics in mathematics instruction (problem solving, weight, quadratic inequalities, probability and statistics, area and volume conservation, cardinality), five with…

Three studies to determine the effects of adult models on interrogative strategies of children (ages 6-11) are reviewed. Two issues are analyzed: (1) the comparative effectiveness of various types of modeling procedures for changing rule-governed behaviors, and (2) the interaction between observational learning and the developmental level of the…

Examined longitudinally were the rate and proportion by grade level of the cognitive development of 202 13- to 16-year-old educable mentally handicapped students. A 20-item written test composed of eight problem solving and 12 cognitive development items representing the concrete I, concrete II, and formal I operations levels of Piagetian theory,…

Two techniques were used to modify an impulsive conceptual tempo on a visual discrimination task. The subjects were 42 first grade white children who had previously been classified as impulsive or near-impulsive on the Matching Familiar Figures Test given to 82 children. These subjects, who had scored above the median on errors and below the…

Contents of this symposium comprises: Introduction (W. B. Dockrell); The Genetics of Intelligence (Sir C. Burt); Structuring Mental Acts (P. R. Merrifield); A "Piagetian" Test of Cognitive Development (R. D. Tuddenham); The British Intelligence Scale (R. W. Warburton); Intelligence (P. E. Vernon); Hierarchical Theories of Mental Ability…

Seventeen research reports related to mathematics education are abstracted and critically analyzed. Seven of the reports deal with aspects of learning theories, four with topics in mathematics instruction (subtraction, problem solving, division by zero, and high school geometry), two with teacher effectiveness and competency, and four with…

Four types of proportionality problems were administered to: (1) secondary school students who were enrolled in Project Physics, and (2) students not enrolled in physics. Both samples were randomly selected. Groups were not found to differ significantly in problem solving ability but both revealed that the ability to solve certain problems was…

Discusses a study which compared differences in ratio construction made by high school freshman and junior students. Reports that more freshmen than juniors selected solutions involving one variable, whereas juniors chose solutions that coordinated two variables in a mathematical or verbal rule. Reviews implications in problem solving and concept…