Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Discusses problem-solving evaluation methods and describes the development of an instrument to evaluate an individual's problem-solving processes. Provides an example of the instrument. (MDH)

In 2 experiments, 280 college students studied animations depicting a mechanical operation with concurrent oral narration of the process, successive animation and narration, animation alone, narration alone, or no instruction (the control group). Results are consistent with a dual coding model of retention and problem solving. (SLD)

Reports on a study of the effects of computer-simulated experiments (CSE), problem solving, and conventional approaches on high school students' chemistry achievement, science process skills, and attitudes toward chemistry. Testing indicated CSE and problem solving produced greater achievement in chemistry and science process skills. CSE produced…

Nine articles discuss research on cooperative learning with computers and how student interactions at the computer facilitate learning. Current research on cooperative learning methods and computer-assisted learning; and microcomputer-based group problem solving, social-cognitive behaviors, higher order thinking, interdependence, autonomy,…

This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)

Various ways in which computers can be used in the classroom depending on the subject, students' background, and individual teaching style are discussed. A way to evaluate professional software packages for use in the classroom is included. (KR)

The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)

A year-long study in 40 eighth grade mathematics classrooms compared the effect on student achievement of teaching with meaning with algorithmic-practice teaching. In general, teaching with meaning was found to increase student achievement. However, differences in response to the methods was seen in the top, middle, and lower thirds of the…

Argues that the basis for communications between teachers and between teacher and student lies in the beliefs that teachers hold about mathematics and problem solving. Proposes a framework for teacher education curricula that describes seven dimensions on which primary mathematics education can be developed. (MDH)

This paper comments on EC 603 157, which discusses cognitive and metacognitive strategy instruction on mathematical problem solving of middle school students with learning disabilities. The commentary analyzes the separability of cognition and metacognition and raises questions about the identifiable components that contribute to the effectiveness…

This article describes methods for teaching higher level thinking skills to children. A four-step teaching plan utilizing Beyer's Taxonomy of thinking skills provides a sequential technique for teaching these skills as do increased verbal interaction, skillful questioning, and use of knowledge organizers. The I PLAN strategy can aid decision…

Suggested are some instructional strategies for dealing with the challenge of teaching students with limited English language proficiency. An example of a classroom activity designed to implement these suggestions is presented. (CW)

Described are three mathematics games that parents can play with their children. These games involve parents in helping children to learn and practice mathematics in the home. Teaching, learning, and practice games are included. (KR)

Described is an activity in which students develop their own number system. This activity allow students to examine the structure and history of number systems and to discover the power and respectable efficiency of the number system used today. (KR)