In many mathematical problems, students can feel that the universality of a conjecture or a formula is validated by their experiment and experience. In contrast, students generally do not feel that deductive explanations strengthen their conviction that a conjecture or a formula is true. In order to cope up with students' conviction based only on…

This book, the 10th volume in the Journal for Research in Mathematics Education (JRME) Monograph Series, discusses the geometry curriculum and investigates how elementary school students learn geometric concepts and how Logo programming and its turtle graphics might affect this learning. This volume also provides details on the development,…

Investigates using the microcomputer to develop a sentence parser to simulate intelligent conversation used in artificial intelligence applications. Compares the ability of LOGO and BASIC for this use. Lists and critiques several LOGO and BASIC parser programs. (MVL)

Discusses programs to provide a knowledge base and use the knowledge in a mode of artificial intelligence. Indicates that two methods of database storage are possible and opts to use a method using many data files while using a small RAM capacity. Lists several programs. (MVL)

This document provides an introduction to the relationship between the current knowledge of focused and creative thinking and artificial intelligence. A model for stages of focused and creative thinking gives: problem encounter/setting, preparation, concentration/incubation, clarification/generation and evaluation/judgment. While a computer can…

Compares BASIC and LOGO systems in developing artificial intelligence systems. Provides listings of programs used for translating and sentence making. Describes methodology and compares the BASIC and LOGO programs. (MVL)

Compares a program written both in BASIC and LOGO on its inferential and decision making ability. Explains steps in each program and how deductions and decisions are made. (MVL)

Describes mechanisms of thought associated with making predictions. Concludes that successful predictors had high initial knowledge of the subject matter and were formally operational. Unsuccessful predictors had low initial knowledge and were concretely operational. Systematic manipulation, note taking, and higher-level thinking skills were…

Describes the importance of learning to connect separate universes of knowledge into a coherent whole. It is a mistake to emphasize connecting schools to the Internet without considering the kinds of thinking processes students need in order to learn from the information they access. (LMI)

Discusses the claims that experiences in computer programming enhance performance on conditional reasoning tasks. Describes three experimental studies designed to address that hypothesis using three different populations of students. Results of all three studies indicate nonsignificant treatment effects. (TW)