Presents 12 problems for students to investigate the relationships involving properties of numbers by using BASIC language. (YP)

The Triple Representation Model of problem solving is presented. The use of microcomputers in this problem-solving environment is discussed, and examples are provided. The integration of this method into the mathematics curriculum is described. (CW)

Selects five critical elements for success in problem solving in mathematics and in computer programing: general strategy; planning; logical thinking; variables; and debugging. Describes the role of the five elements based on a literature review. Forty-one references are listed. (YP)

Describes how the computer algebra system Mathematica can be used to enhance the teaching of the topics of sequences and series. Examines its capabilities to find exact, approximate, and graphically generated approximate solutions to problems from these topics and to understand proofs about sequences. (MDH)

Outlines the variety of ways computers can be used in the classroom, computer literacy/awareness objectives, and proposed guidelines for use of computers in mathematics courses. Comments on research with computers, selecting a microcomputer, and software considerations are also provided. (JN)

Several major factors must be considered when developing or assessing tutorial microcomputer software for mathematics instruction. Both learning considerations and curriculum considerations are discussed in some detail. (MNS)

The purpose of this paper is to show, by computer examples, that very different results can be obtained by rearranging selected conditionally convergent series. Computer programs allow the students to select the real number to which they wish the rearrangement to converge. Two computer programs are appended. (KR)

Presents several problems that use calculator or computer-generated graphs of the absolute value function as related to the maximum and minimum functions to illustrate the statistical concepts of range, median, mean, and variance. (MDH)

Promotes the use of computers in teaching not only to solve problems but also to help students be better at analyzing problems and developing procedures for their solution. Outlines several problems where a computer-assisted analysis can help give students a thorough understanding of the topic. (TW)

Presents a study to determine whether computer use in guided-discovery learning episodes would enhance the problem-solving ability of secondary school students (n=147). Results indicate interaction between low- and middle-level students' mathematical achievement and treatment groups, while high-level students performed well regardless of approach.…

Reviews four software packages: "Scientific Reasoning Series: Batteries and Bulbs," dialogue-type software for physics; "More Teasers from Tobbs: Fractions and Decimals"; "Personal Consultant Plus," an expert system software package; and "How the West Was One + Three X Four," problem-solving software using…

Describes examples of student-centered activities for exploring mathematical induction using BASIC programs or spreadsheets. Discusses the advantages of using this medium to teach the concept and provides computer programs for the activities. (MDH)

Includes a list of favorably reviewed microcomputer software designed to be used in instructing students in kindergarten through grade 12. Developed as an aid to educators in previewing software, the list provides the name, type, cost, publisher, and grade level for instructional software in science and mathematics. (TW)

The Soloworks project is based on the belief that student-controlled computing is a promising innovation in secondary mathematics instruction. The Soloworks project is following up three years of experience in the Pittsburgh public school system with a new program encorporating both student-controlled computing and modern math curricula. The work…