An organized series of steps designed to help students solve related rate problems often found in beginning calculus is presented. Two example problems are taken through five steps of solution. (MP)

A teaching sequence providing a smooth transition from concrete materials to the subtraction algorithm is presented. (MP)

A teaching sequence for the division algorithm is detailed. (MP)

One teacher's struggle with conveying a concrete realization of the subtraction algorithm to students leads to a discussion of elementary mathematics instruction in general. (MP)

Describes a course teaching the use of computers in emulating human visual capability and image processing and proposes an interactive presentation using multimedia technology to capture and sustain student attention. Describes the three phase presentation: introduction of image processing equipment, presentation of lecture material, and…

Described is a way to use knots to relate a three-dimensional object to a two-dimensional representation of the object. The results are used to produce an algorithm or rule to explain a general case. Included are examples, diagrams, procedures, and explanations. (KR)

Raises and responds to questions about what and how to teach mathematics with the availability of calculators to all students. Discusses whether students need basic facts, mechanical skills, and knowledge of computational algorithms. Argues that students need to develop number sense and analytical skills using simple, symbolic, and graphing…

The typical introductory programming course is not an appropriate first computer science course for many students. Initial experiences with programming are often frustrating, resulting in a low rate of successful completion, and focus on syntax rather than providing a representative picture of computer science as a discipline. The paper discusses…

Shows the necessity of foreign language education for cognitive and attitudinal purposes as well as for utilitarian reasons. Foreign language learning/teaching can be of great educational value when it follows the thread of the logical and psychological steps in the creative/discovery procedure. A learning algorithm is mapped on page 61. See FL…

IN THIS COLLECTION OF THREE ARTICLES, THESE TOPICS ARE COVERED--FOREIGN LANGUAGE INSTRUCTION, TEACHING ALGORITHMS, AND LITERATURE ON PROGRAMED TEACHING. IN THE FIRST STUDY, PROGRAMED LANGUAGE EXERCISES WERE GIVEN IN LANGUAGE LABORATORIES TO HIGH LANGUAGE ABILITY STUDENTS TO TEST THEIR SKILL AT INDEPENDENT WORK. ALTHOUGH THE SMALL EXPERIMENTAL AND…

Describes activities in a mathematics class for six-year-olds. The article makes several points, including: working independently is very absorbing; investigative work is as important as algorithms; and children working in groups can achieve more than even the brightest child working alone. (PK)

Describes an algorithm that provides more rapid convergence for more complicated forms of phase separation requiring the use of a digital computer. Demonstrates that this "inside-out" algorithm remains efficient for determination of the equilibrium states for any type of phase transition for a binary system. (CW)

In one school, algorithmic development has been infused in the mathematics curriculum. An example of what occurs in mathematics classes since the teachers began using the computer is given, with two students' conjectures included as well as the algebraic justification. (MNS)

How graph paper has been used to illustrate the algorithm for division of fractions is presented. The combined use of graph paper and an overhead projector can make the presentation even more convincing. A review of whole number division is recommended prior to the lesson. (MP)

A one-to-one teaching session with a student is described and analyzed in an attempt to communicate how student attempts at discovery in mathematics can be thwarted by teachers who do not allow room for creativity. (MP)