This paper proposes a taxonomy of the pedagogical opportunities that are offered by mathematics analysis software such as computer algebra systems, graphics calculators, dynamic geometry or statistical packages. Mathematics analysis software is software for purposes such as calculating, drawing graphs and making accurate diagrams. However, its…

Described is an approach to computational matrix algebra that takes advantage of a high quality, low cost microcomputer software package. The examples and applications discussed focus on matrix multiplication. (Author/CW)

Four classes (n=53) of Basic Algebra and five classes (n=50) of Intermediate Algebra in a community college setting were randomly assigned to sections either using or not using computer assisted instruction (CAI) supplemental to classroom instruction. Based on standardized pre- and posttest scores, students using supplemental CAI in Basic Algebra…

This study tested the benefits of matching field dependent (FD) learners to an algorithmic method and field independent (FI) learners to a discovery method relative to mathematics achievement. It also attempted to discover if FD learners reacted more positively to computer experience than did FI learners. A total of 126 college algebra students…

Investigated the effect of mathematics instruction with the aid of microcomputer illustrations on the achievement of college students enrolled in an intermediate algebra course. There was a treatment effect on the comprehensive final examination. (YP)

Research on intelligent tutoring seeks to develop systems for automating education and to explore epistemological issues concerning the nature of the knowledge presented by tutors and how that knowledge can be learned. The ACT theory of skill acquisition and its successor (PUPS--PenUltimate Production System) provides production-system models of…

Exploration of concepts crucial to development of new computer-based learning environments focuses on process rather than product and the computer's ability to record, represent, and communicate the underlying process. Cognitive, pedagogical, and sociological issues relevant to creation of learning environments in five domains (empowering…

Describes a study designed to discover how community college students enrolled in algebra and English grammar courses used the available learner-control features of the TICCIT (Time-Shared Interactive Computer-Controlled Information Television) computer-assisted instruction system. Results indicate learner-control options were utilized but no…

Previous studies were conducted with 14- to 15-year-old students on the nature of the processes they used to solve tasks given the incorrect/buggy/mal-rules. The computer-based Leeds Modelling System (LMS) was implemented and a database of examples, correct and incorrect, or mal-rules had been established which was sufficient to diagnose the…

Investigated are the developments of pupils' use and understanding of algebraic ideas within a LOGO programing context and a non-computational context. The research consists of a 3-year longitudinal case study of 4 pairs of pupils aged 11-16. LOGO experience enhanced the understanding of algebraic ideas. (Author/YP)

A group of 24 14-year-old students were presented with sets of algebra tasks using the Leeds Modelling System (LMS), a computer-based modeling system. Four months later, these same students were given a paper-and-pencil test which covered comparable tasks set by LMS. In addition, certain students were given detailed diagnostic interviews. A…

This paper reports the results obtained with a group of 24 14-year-old students when presented with a set of algebra tasks by the Leeds Modelling System (LMS). These same students were given a comparable paper-and-pencil test and detailed interviews some 4 months later. The latter studies uncovered several kinds of student misunderstanding that…

This paper discusses the overall design of the PIXIE Intelligent Tutoring System, and more specifically a series of recent enhancements. The original system has been implemented to involve three separate phases: the offline, or model generation phase; the online, or tutoring, phase; and the analysis phase. The offline phase, which is completed…

This aptitude-treatment interaction (ATI) study was designed to clarify the relationship between the aptitude variable spatial visualization and two modes of presentation of linear absolute-value inequalities. The modes of presentation include computer-enhanced instruction (CEI) and traditional. (Author/KR)

Six studies discussed in this paper compared error-specific or model-based remediation (MBR) with reteaching in algebra. MBR points out, and highlights as incorrect, errors specific to the student's solution before reteaching the correct procedures. Reteaching shows the student the correct procedure without addressing specific errors. Three of…