Exploratory study aimed to investigate elements of geometrical concepts that children learn through Logo programing. A test designed to assess three components of length and angle was administered to 84 children who had learned Logo for one year and 92 who had not. Data indicated a positive effect of Logo work on some items, but not all.…

This study concerned conceptual difficulties of college students learning programming and ways the teacher can simplify the process. An analysis of general strategies used in solving problems involving loops is given, with four types of hierarchical strategy categorized. Students had difficulty transforming their algebraic descriptions into…

Describes a microcomputer-based system for diagnosing children's multiplication errors which incorporates the knowledge base of all known systematic multiplication errors, and utilizes a modular approach to cope with the program's complexity. Each module's function, how the programs interact, and the design of pupil-machine interaction are…

An experience in attempting to transform research into practice is described, with questions raised about the relationship between research and practice. The author begins by describing the two research traditions which exerted the most force on the design of the program. How the philosophy and findings of those traditions were interpreted and…

Seven graduate students in a seminar on classroom computing received instruction in LOGO programming. Programming protocols were collected periodically and examined for errors and misconceptions; in-depth interviews were conducted in order to understand specific misconceptions better. As novice students transit from instruction to experience in…

This study investigated the effectiveness of LOGO's turtle graphics in both providing a model of systematic thought and in teaching simple geometry to young children in the second grade. The treatment given to 25 second grade students in the experimental group consisted of programming with LOGO's turtle graphics using four Apple II+…

This study, part of a longitudinal investigation, examined the kinds of thinking which children aged 10 and 11 could carry over from Logo instruction to an algebraic context. Interviews focused on their ability to construct meaningful symbolization for the concept of variable and to construct formalized algebraic rules. (MNS)

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)

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…

An overall schema of interpretation for programming instructors is given, so that the misconceptions students develop in programming can be determined more readily. Types of language-independent and -dependent bugs, how they can be identified, and how to help students overcome them are addressed. (MNS)

Describes two studies which examined crucial factors in learner support for computer-assisted learning. Douglas investigated the effectiveness of a computerized learner support system with a group of college students, while Lebel used 15- to 17-year-old mathematics students to study the sociostructure (who works with whom and under what social…

Using the book "Mindstorms--Children, Computers and Powerful Ideas" as a reference point, this paper deals with the sociological challenges raised by Seymour Papert and explores such issues as the role of computers as carriers of powerful ideas and the seeds of cultural change. Recent studies are cited indicating that although the…

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…

Use of a computer programming language in problem-solving activities provides an opportunity to examine how young children use a restricted set of language primitives. The generation, and execution of computer instructions was used as a verification stage in the problem-solution process. The metric is intended to provide a descriptive…