Discusses the generalization of the meaning of multiplication for whole numbers. Presents an example for multiplication of fractions. Provides several diagrams to help improve understanding. (YP)

Discussed are experiences with students having mathematics anxiety. Describes how to increase the students' confidence and a method of guided practice. (YP)

The 5-stage model of Ross was used to examine the role of instruction in facilitating children's acquisition of place value knowledge. Compares children from 2 samples on 10 tasks designed to reveal their thinking about place value. Discusses implications for theory and classroom. (YP)

Describes a five-step graphing method for various trigonometric periodic functions. Emphases is on teaching constants and functions. (YP)

Presents examples of line and curve graphs. Suggests some ways of using graphs to increase student learning. (YP)

Identifies and describes three steps where connections between written symbols and understandings can be made: (1) developing meaning for symbols; (2) developing meaning for rules; and (3) checking the reasonableness of solutions. (YP)

Discusses a calculation method to approximate pi. Describes how to get an approximation to the circumscribed and inscribed perimeters of regular polygons of n sides. Presents the computer program and result of the approximation. (YP)

Suggests activities involving the use of indices. Provides five activities with examples for routine practice, pattern recognition, prediction, conjecture, generalization, factorization, and limit concept. (YP)

The problem of finding all topological spaces is considered. Two characterizations are presented whose proofs involve only elementary notions and techniques. The problem is appropriate for students in a beginning topology course after they have been presented with the Embedding Lemma. (DC)

Investigates the development of understanding of quantity in 36 children with Down's Syndrome. Findings confirmed similarities in sequence of development between Down's Syndrome children and nonretarded children. Down's children who received training recognized conservation of continuous and discontinuous quantity. (RJC)

Provides an overview of a course, "Applied Linear Algebra," for teaching the concepts and the physical and geometric interpretations of some linear algebra topics. Describes the philosophy of the course, the computer project assignments, and student feedback. Major topics of the course are listed. (YP)

Certain misunderstandings in science, mathematics, and computer programing reflect analogous underlying difficulties. These misunderstandings are examined through four knowledge levels: (1) content; (2) problem-solving; (3) epistemic; and (4) inquiry. Analysis of several examples shows that misunderstandings have causes at multiple levels, and…

Presents strategies for teaching elementary students about ratio and measurement. Primary students read and discuss a story that involves measurement, then write letters of advice to one of the characters. Intermediate students read the story, write and share letters of advice, discuss the benefits of standard measures, and measure themselves. (SM)

Four experiments investigated under which conditions and at which age level children in grades four through six would become aware of the conflict between practical and theoretical considerations in mathematics. Students in grades four and five did not indicate an awareness of this conflict, while about half the sixth graders did, indicating a…

Presents exploration activities and problems related to the concept of linear function which can be performed using Parallel Axes Representation. (PR)