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)

Three different methods for factoring a quadratic expression are given, then a case is made for the claim that the inspection method is the one which should be stressed. (DT)

Functions defined on a unit square are considered, so that a basis may be established to carry over important features to the circular functions. (DT)

A common approach used for introducing algebra to young adolescents is an exploration of visual patterns and expressing these patterns as functions and algebraic expressions. Past research has indicated that many adolescents experience difficulties with this approach. This paper explores teaching actions and thinking that begins to bridge many of…

Developing the Trends in International Mathematics and Science Study (TIMSS) Advanced 2008 Assessment Frameworks was a collaborative venture involving mathematics and physics experts from around the world. The document contains two frameworks for implementing TIMSS Advanced 2008--one for advanced mathematics and one for physics. It also contains…

This book is for people with an interest in algebra whether as a learner, or as a teacher, or perhaps as both. It is concerned with the "big ideas" of algebra and what it is to understand the process of thinking algebraically. The book has been structured according to a number of pedagogic principles that are exposed and discussed along the way,…