Applies the Lesh Translation Model to develop conceptual understanding by showing relationships between five modes of representation proposed by Lesh to learn multiplication of fractions. Presents five teaching activities based on the translation model. (MDH)

Performance assessment, a method that makes possible the assessment of multiple dimensions of students' progress, including dispositions, is described. Criteria for good performance tasks are given, and their structure is illustrated through an example. A list of 10 dispositions toward mathematics and a self-evaluation group-performance rating…

Presents a program to introduce fifth graders to everyday economic life by constructing a true-to-life simulation of an economic community. Students apply mathematics skills to managing a checking account, calculating electric bills, and managing shops using computers. (MDH)

Arrays are seen as excellent models for beginning multiplication examples, but that they are often put aside by teachers when they become unwieldly for greater factors, possibly depriving learners just when they need the help. The use of grids made on paper marked in squares is suggested. (MP)

Before judging a student's diagram correct or incorrect, the mental associations made by the student between his diagram and the problem should be known. This is a follow-up to the author's article in the November 1970, Arithmetic Teacher." (RS)

A model for division of fractions using money as manipulative material is presented. Eight levels are described, ranging from the development of language and concept introduction through types of problems to rule discovery and application. (MNS)

A model of the division algorithm is described which relates step-by-step to the standard algorithm. Use of the model in instruction requires the distribution of a special worksheet. The focus of the instruction is on students sharing some amount of money equally among several friends. (MP)