Useful programming tricks are suggested to allow the reduction of many equations and non-polynomial-like expressions and the subsequent application of the mathematical algorithms. (Author)

This textbook provides the foundation for a course in mathematics covering arithmetic, algebra, geometry, conic sections, and arithmetic of infinites. An appendix on practical gauging is included, as well as a supplement containing the history of logarithms. [This edition was corrected and improved by Samuel Clark.]

This programed mathematics textbook (Volume I) 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…

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 clusters. The development of a sequential content structure was also based on these mathematics competencies. After completion of this program the…

This programed mathematics textbook (Volume II) 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…

This study is concerned with certain aspects of approximation theory which can be introduced into the mathematics curriculum at the secondary school level. The investigation examines existing literature in mathematics which relates to this subject in an effort to determine what is available in the way of mathematical concepts pertinent to this…

Reported is an investigation designed to (1) utilize the Carroll model as a framework for implementing a mastery learning strategy in a nongraded setting, (2) identify the Carroll model as a possible theoretical basis for administrative decisions regarding the organizational structuring of schools, and (3) test certain hypotheses derived from the…

Research reported dealt with designing a mathematics course for undergraduate business students. Of the three groups formed by matching, the control group received traditional instruction in college algebra, utilizing one text, while the two experimental groups used materials selected for their relevance to business students. One experimental…

A formula estimating the number of misprints in a text which escape both of a pair of proof readers is developed using the principle of inclusion-exclusion. (SD)

An investigation is given of exceptions to the rule for adding fractions. The use of such exceptions in instruction is discussed. (MP)

Instructional approaches to vectors in n-space are discussed. (SD)

Illustrations are provided which show how some algebraic manipulations done prior to doing calculations can eliminate unnecessary storage of data, reduce the total number of needed steps, and avoid overflow. (MN)

A theorem concerning the solutions of systems of linear equations is presented. (SD)

A different form of the quadratic formula is developed. (DT)

This article investigates the algebraic structure formed when the process of finding the greatest common divisor and the least common multiple are considered as binary operations on selected subsets of positive integers. (DT)