This study investigated the cognitive benefits of learning how to program by determining the degree of cognitive transfer of programming skills at a construct level to solving analogous problems in other domains. Subjects, who were students enrolled in four sections of the beginning Pascal programming course and two sections of a calculus course,…

The objectives of this research were to review existing computer-assisted instruction systems for propositional calculus proofs or elementary logic and to develop an instructional computer program that guides students in the valid construction of propositional calculus proofs. The system is unique in that it provides assistance at each step of the…

The processes by which conceptual knowledge is constructed during mathematical problem solving were studied, focusing on the cognitive activity of learners (i.e., the ways they elaborate, reorganize, and reconceptualize their solution activity). Underlying this research is the view that learners' mathematical conceptions evolve from their activity…

Computer Algebra Systems (CAS) are computer systems for the exact solution of problems in symbolic form. The newspaper is designed to serve as a conduit for information and ideas on the use of CAS in education, especially in lower division college and university courses. Articles included are about CAS programs in several colleges, experiences…

These proceedings include two lectures followed by working group and topic group contributions in reduced format. The two lectures were by Heinrich Bauersfeld, speaking on contributions to a fundamental theory of mathematics learning and teaching, and Henry Pollak, speaking on the relationship between applications of mathematics and the teaching…

This monograph presents 13 papers dealing with various aspects of elementary problem solving. They are: (1) "Training for Effective Problem Solving" (Gary A. Davis); (2) "Patterns of Problem Solving--A Campus-Wide Course at UCLA" (Moshe F. Rubinstein, L. Robin Keller, Edward A. Kazmarek); (3) "A Taxonomy of Problem-Solving Activities and Its…

To meet the need for advanced placement (AP) calculus instruction in Virginia schools faced with a teacher shortage and small enrollments, the Virginia Department of Education in cooperation with schools and television stations is developing a high technology advanced placement credit course. The course has eight components: (1)…

This document consists of two modules. The first of these views applications of algebra and elementary calculus to curve fitting. The user is provided with information on how to: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; 3) understand the underlying theory of least squares; 4) use a computer program to…

A description and evaluation are provided of the ISCI (Individualized Supplementary Calculus Instruction) project. ISCI is a computer-based resource that can be used with any text or computer system. If a student fails to solve homework problems, he can provide information about his attempted solution through a teletype or other computer terminal.…

Reviews for three software packages are given. The packages are: Super Math Package, a collection of 19 programs on a variety of mathematical topics; Interactive Experiments in Calculus; and Introductory Statistics Software Package. (PK)

Reports 17 recommendations that focus primarily on curriculum in grades 11-13 for students who take a four-year college-preparatory program. Appropriate curricular patterns for students who are intending to pursue careers that depend on mathematics are indicated. (PK)

Discusses the snowflake curve as a way to introduce the topic of sequences and series. Computer programs which produce graphic results are included. (PK)

This paper explores the benefits of the design elements of public anonymity and private accountability in classroom Knowledge Sharing Systems (KSS). The major findings of this study indicate that classroom KSS have the potential to allow for greater equity of input, reduce academic anxiety, increase teachers knowledge of student understanding …

This report contains papers from the Nordic Conference on Mathematics Teaching (NORMA-94). The first three papers are plenary talks aimed at giving the participants an opportunity to form a coherent view of the new theories of learning. The themes of the paper sessions addressed a variety of topics on different levels from elementary school to…

The benefits of high-level mathematics packages such as Matlab include both a computer algebra system and the ability to provide students with concrete visual examples. This paper discusses how both capabilities of Matlab were used in a multivariate calculus class. Graphical user interfaces which display three-dimensional surfaces, contour plots,…