Fifteen research reports related to mathematics education are abstracted and analyzed. Six of the reports deal with aspects of learning theory, four with areas in mathematics instruction (calculus, elementary mathematics for students of economics, and planning for topics for kindergarten children), and two with assessment or prediction of…

Teachers in elementary schools, supervisors of instruction, and other educational practitioners are the primary audience for this publication. The paper presents philosophical, psychological, and practical reasons for including a problem-solving approach in elementary school instruction. It draws on the writings of John Dewey, Jean Piaget, James…

The work described in this paper was undertaken to study children's ability to preserve semantic relations during analogical mappings. Two experiments are described based on the understanding that metaphors and analogies are mappings from one semantic region (the domain of origin) to another (the range of application), which convey the idea that…

The questions of whether undergraduate students use different processes in evaluating their own learning in a course, and whether such differences are related to differences in personality development or cognitive development were studied. It was predicted that students possessing well developed abstract conceptual structures would show a more…

Thirty-six children between four and seven years of age were asked a series of questions to determine their degree of insight (meta-cognitive awareness) regarding the way four common variables influence the ease with which a person can perform the three cognitive tasks of remembering, communicating, and attending. The four variables were the…

Recent research projects have indicated that a majority of adolescent and adult students have not reached a formal level of cognitive functioning and must therefore be taught rhetorical modes such as comparison and classification. A study was constructed to investigate the cognitive skills development of average college freshmen and to test…

Two studies explored the possibility of inducing conservation understanding in intellectually normal preschoolers and mildly mentally retarded children of comparable mental age. Retarded children, MA 3-10 to 5-0, received Verbal Rule instruction. Three- and 4-year-old children were given Verbal Rule training in a 2 x 2 x 2 factorial design…

Design and results of an investigation attempting to analyze and improve children's solution processes in elementary addition and subtraction problems are described. As background for the study, a conceptual model was developed based on previous research. One dimension of the model relates to the characteristics of the tasks (numerical versus word…

THE RELATIONSHIP BETWEEN THE LEARNING OF LAW BY INDIVIDUAL CHILDREN IN A SOCIAL STUDIES SETTING AND THE THINKING THEY BROUGHT TO THE INSTRUCTIONAL SITUATION WAS EXPLORED. ASPECTS OF CIVIL LAW AND THE LITIGATION PROCESS WERE TAUGHT AND STUDIED FOR 20 HOURS IN TWO SIXTH-GRADE CLASSES. FIVE CHILDREN IN EACH CLASS HAD BEEN SELECTED IN ADVANCE FOR…

Two experiments, designed to examine the developmental changes in the modification of visual memory by verbal information, are described in this paper. In both experiments, first, third, and fifth grade children and college students were shown slides of short episodes followed by oral questions. Questions either described or did not describe…

The role of verbalization in children's mental operations was studied by comparing the mental operations children used in spatial perspective tasks (indicating another's view) and rotation tasks (imagining an object's rotation and one's own subsequent view). Each of 96 children (equal numbers of boys and girls, kindergarten and second grade…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of seventh and eighth grade mentally gifted children. The lessons are organized within four of the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (18 lessons), memory (9…

This book deals with cognitive development from the perspective of the author's theory of conceptual learning and development (CLD) and from a Piagetian perspective. Chapter I provides an overview of CLD theory and also identifies and discusses the Piagetian constructs of stage, groupement structures, and equilibration. Chapter II focuses on the…

Forty-eight nursery school and kindergarten children participated in a study of concept learning. The study focused on children's use of intensional and extensional information in the acquisition of basic and superordinate categories. The intension of a concept is its definition or set of defining attributes; its extension is the set of all…

This paper argues that it is important to provide children with complementary activities in a horizontal arrangement in order to promote acceleration of vertical levels of thinking. A brief review of literature on the relationship between experience and logical thinking is presented and the definition and function of transfer are discussed.…