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)

Directions are given for preparing a puzzle that may be used to provide practice in computation. (MP)

Three male and three female fourth grade learning disabled students received microcomputer assisted instruction in multiplication. Results indicated that about 12 days' computer drill yielded mean gains of 4.7 and 6.1 facts per minute for girls and boys, respectively. Results suggested transfer of learning to conventional paper-and-pencil tasks.…

Presents activities designed to help children understand the notion of a sample in a homogeneous group, a concept essential to understanding "R times E" problems. Underscores the importance of children's understanding the situation in a problem so that they can solve it. (JN)

Using the calculator to do addition and multiplication in base 2 is discussed, with the stress on how to change numbers from one base to another using the calculator. (MNS)

A learning disabled student was drilled on multiplication facts, with records of his performance used to help him reach mastery. A sequence in which the 0 facts, 1 facts, etc., are taught is used. (MNS)