Discusses the mistakes of Kirschner, the German philosopher and mathematician, in calculating factorials of large numbers by hand in the 1600s. Uses computer technology to calculate those numbers now. (ASK)

Describes a technique from Japan, the lesson study, where teachers study ways of teaching one lesson for several hours while focussing on the concepts of multiplication and division. (ASK)

This article discusses the role of the commutative, associative, distributive, and identity properties of addition and multiplication in preparing children for future success in algebra. (Contains 3 figures.)

This paper outlines an experiment in which pupils in Key Stage 2 were encouraged to use graphics calculators, in particular two simple programs, which helped them develop recall of their tables and allowed them to practise multiplication. The pupils responded very well to the calculators and seemed to have been motivated by them. The pupils did…

A multiple-probes-across-tasks design was used to evaluate the effects of a taped-problems intervention on the multiplication fact fluency of 18 students from an intact general education third-grade classroom. During the classwide taped-problems intervention, students were given lists of problems and instructed to attempt to complete each problem…

Knowledge and skill in multiplication were investigated for late elementary-grade students with mathematics learning disabilities (MLD), typically achieving age-matched peers, low-achieving age-matched peers, and ability-matched peers by examining multiple measures of computational skill, working memory, and conceptual knowledge. Poor…

In working out exercises in addition the author became convinced of the importance of the ones place of the mind and fashioned a carefully worked technique in order to free the student from having to think about technique. (Author/RK)

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

The reliability of using peers in drill type instruction was investigated with 57 students (in grades 4 through 8). Quality of tutor-student interaction during multiplication drills was based on the pace or rate at which students interacted with the material and the accuracy level at which they performed. Ss were instructed to listen to cassette…

Fourteen novel multiplication problems (of the form "a times b equals") were presented on each of five consecutive days to nine third grade classes divided into three groups. Immediate knowledge of results was provided for group one, delayed for group two, and no knowledge of results for group three. Residual scores, obtained by taking the…

In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame…

The second in a series of three workbook texts on beginning algebra. Designed primarily for use by lower ability mathematics students, the texts have been used by average ability students as supplementary materials. Volume 2 contains material on operations, variables and phrases, equations, exponents equivalent phrases, terms, and adding like…

A model for fractions derived by an operation of "scattering into subunits" is hypothesized. Five stages in the model are discussed. Assumptions underlying the development of the model, features of the model, and disadvantages of the model are listed. (DT)

Greatest common factor and least common multiple are the concepts used to play this game that has football as its basis. Rules and examples are given. (MP)