The papers contained in this document were originally presented at the May 1978 conference on Modeling Mathematical Cognitive Development sponsored by the Models of Learning Mathematics Working Group of the Georgia Center for the Study of Learning and Teaching Mathematics. Most have been revised to reflect comments and suggestions made at the…

Thirteen congenitally blind students (6-18 years old) who participated in a 2-year Piagetian-oriented remedial program experienced significant gains on 22 of 26 reasoning variables (as measured by a Piagetian battery), compared to a non-treatment group of Ss which achieved significant gains on seven of 26 variables. Results suggested the need for…

In this report, three theories of transitive inference are compared as they apply to the solution of linear syllogisms: a spatial theory, a linguistic theory, and a new mixed linguistic-spatial theory. Each theory is expressed in terms of an information-processing (flow chart) model and a mathematical model that quantifies the…

Interactions between metaphor comprehension and level of operational thought were examined to determine what advantages individuals at the formal operational level had in natural language tasks such as the understanding of figurative language. After 30 undergraduate students were classified as either late concrete, early formal, or late formal…

The term, "schema," used largely as a descriptive convenience rather than a theoretical guidepost in social psychology is examined through an analysis of its development, function, and structure. This paper articulates a model of schema development in adults by defining a schema as a representation of some stimulus domain and a set of…

Sixteen children (aged 14 to 26 months), who were reported by their parents to overextend, were tested for overextension in both language production and comprehension. The children were first asked to name each of a series of pictures of inappropriate exemplars of the words they were reported to overextend. Those words that were overextended, a…

THE THEME OF THIS PAPER IS THAT EVERY TEACHER IS A TEACHER OF READING WHEREVER AND WHENEVER THE SKILLS ARE NEEDED. SINCE THE READING CONSULTANT IS PRIMARILY CONCERNED WITH REMEDIATION, THE NEED FOR IMPLEMENTING READING SKILLS IN SUBJECT MATTER COURSES IS IN THE HANDS OF THE TEACHERS IN EACH OF THESE AREAS. THE TEACHING OF THE FUNDAMENTAL…

Rhetoric, reasoning, and reflection are discussed as the tools which enable a reader to distend the experience of reading to its greatest limits. Rhetoric is interpreted as the facility which allows the reader to understand both the necessary "how" and "what" of an author's work. Eleven cognitive processes used in written material are defined and…

The three papers presented in this publication examine in depth the thought and practices that currently prevail in the specialized areas of reading and concept attainment. Two of the papers deal with concept learning and the transformation of this knowledge into instructional guidelines. The third paper considers the importance o f concept…

The Chinese language has long been regarded, mostly by historians and philosophers, as an inadequate vehicle for developing science. This is because the Chinese have developed only correlational logic, analogical thought and relational thinking, which are inappropriate to science. The cause is said to be the structure of Chinese, specifically: (1)…

This study analyzes the generalization abilities of children with reading disabilities by comparing the performance of such children with that of a normal control group on a conditional discrimination learning-set task. Both groups, consisting of boys aged eight to ten, participated in the Wisconsin General Test Apparatus in a form modified for…

In reviewing the ancient, well-worn debate on the relationship between literature and values, it may be seen that the current pedagogical theory of developing response to literature is parallel to the argument for helping students articulate their own values. Two approaches to clarifying values are the values clarification approach (Louis Raths,…

Studies concerned with the synchronous emergence prediction of Piaget's structures-of-the-whole principle are discussed in conjunction with three groups of concrete-operational skills: (1) transitivity/conservation/class inclusion; (2) double classification/double seriation; and (3) ordinal, cardinal, and natural number concepts. Findings show…

This study investigated the effect of two external conditions on the learning of principles by children. The external conditions were instruction on the major concepts related in the principle and the number of teaching examples and teaching nonexamples of the principle presented with a statement of the principle. Subjects were 159 fifth-grade…