Provided are several perspectives on technology, addressing changes in learners related to technology, changes in contemporary life related to technology, and changes in subject areas related to technology (indicating that technology has created such new tools for inquiry as computer programming, word processing, online database searches, and…

This paper, which addresses the issue of representation as an internal construct corresponding to an external abstract configuration, attempts to extend A. A. DiSessa's phenomenological primitives to mathematics (particularly to the notion of circle). Various acceptations of the word representation are examined, using the notion of a circle as an…

The purpose of the study was to survey self-regulation while responding to the addition facts. First graders' performance on microcomputer practice exercises was observed and recorded. Subjects could choose an analytic mode of operation using a symbolic or a finger strategy; or, they could choose a geometric mode of operation using a pictorial or…

The theme of the sixth annual meeting of the North American Chapter of Psychology of Mathematics Education was "The Importance of Psychological Models for Research in Mathematics Learning." The conference proceedings contain papers organized around five major topics. In the first section, eight papers on the learning of arithmetic are…

Secondary teachers in a workshop on overcoming computer and math anxiety and students in a programming course were given measures of anxiety and achievement. Low mathematical ability and coursework were related to math and computer anxiety and negative attitudes. Attitudes improved for the teachers but not the students. (MNS)

Presented is an annotated list of 24 references on the LOGO programing language. The information provided is intended for classroom teachers and for researchers. Topics include use of the language in classroom situations, evaluation of a LOGO training program, the educational utility of LOGO, and others. (JN)

Provided is an overview and analysis of recent progress in applying electronic information technology to creation of new environments for intellectual work in mathematics. Describes the impact of numerical computation, graphic computation, symbolic computation, multiple representation of information, programing and information, and artificial…

Implications of using pupil-to-pupil discussion with mathematics classrooms are discussed, with different ways in which such discussion might promote mathematical understanding. A framework for instruction includes the learning of the computer language Logo. (MNS)

These papers from the fifth annual meeting of the Canadian Mathematics Education Study Group are organized similarly to the meeting, presenting materials from the lectures, working groups, special groups, and panel groups, as well as ad hoc groups. Iverson delivered one lecture on computer programming, stressing the place of APL, while Kilpatrick…

This study investigated several aspects of a teaching experiment which focused on five seventh grade students' performance on nonroutine number theory problem-solving with a close look at the role of heuristics, concrete models, and the relationships between these variables. In the experiment, students were given a series of lessons on number…

Presents a detailed discussion of the data collected on calculator and computer use in schools in 20 countries. The document includes discussion of: (1) school policy on calculator use; (2) description of populations A (8th grade students) and B (12th grade students) in the United States; (3) uses of calculators in subjects other than mathematics;…

Mathematics curricula in Canadian schools, especially at the secondary level, have until now derived much of their content and ways of teaching largely from university mathematics and mathematicians. This feasibility study represents a first step in collecting and analyzing data from hi-tech industries, businesses and organizations. In Phase I, a…

Investigates whether elementary school students can construct operations of thought for integers and integer addition crucial for understanding elementary algebra. Two sixth graders were taught using a computer. Results included both students being able to construct mental operations for negating arbitrary integers and determining sign and…

Described is an article that describes an adaptive computer tutor for arithmetic entitled "Shopping on Mars." The purpose of the tutor is to help children develop an extensive repertoire of information techniques for performing arithmetic in everyday situations and to learn to formulate shortcuts in problem solving. Results of…

Argues that computer instantiations of abstract concepts could assist mathematics education by providing concrete experiences and by inducing the mental process of construction that Piaget called reflexive abstraction. College students with computer experiences scored higher than those taught with traditional methods on a test of functions and…