This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 4-6, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, whole numbers, number theory, fractions, decimals, geometry, ratio, proportion, percent, probability, sets, and…

This study ascertained the relative effectiveness of writing assignments in mathematics compared to traditional assignments on the performance of students (N=83) in an elementary, college algebra course. Students were placed into experimental and control groups based on the nature of assignments given. Control subjects were given 15 assignments…

A set of computer-oriented, supplemental activities is offered which can be used with a course in advanced algebra and trigonometry. The activities involve use of the BASIC programming language; it is assumed that the teacher is familiar with programming in BASIC. Students will learn some BASIC; however, the intent is not to develop proficient…

Students were given the problem: Given a deck of cards in a certain order, after how many shuffles will it return to its original order? They worked with small decks of cards to develop a general formula, but were unhappy with the results. (SD)

A series of problems involving number theory, the law of cosines, and geometric interpretations of solutions to equations is discussed. (SD)

Games and puzzles in which a checkerboard can be used to develop mathematical concepts are described. (SD)

Four problems in which elementary mathematics can be used in constructing models are described. (SD)

A series of puzzle-type activities combining arithmetic reasoning and geometric figures is described and illustrated. (SD)

The results of the first report on the mathematical abilities of 13 and 17 year-olds by the National Assessment of Education Progress (NAEP) are summarized and interpreted. A similar article for elementary school mathematics appears in SE 514 769. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

This article describes a procedure for presenting routine practice problems on a programable calculator with attached teletype. The program uses a random number generator to write problems, gives feedback and assigns grades according to the procedures outlined (and flow-charted) by the author. (SD)

An algebra class asked: What is the smallest positive integer that is divisible by each integer less than or equal to ten? Students discovered factorials and a solution. Verifying the solution produced a series of numbers. Successive differences between entries, triangular arrays, and successive quotients finally led to Pascal's triangle. (KM)

The author observes that checking the closure property is redundant for most number systems and therefore hard for students to understand. He defines several systems which are not closed, develops two concepts related to closure, and provides many related examples. (SD)

The author has surveyed eight popular algebra texts in order to determine the extent of sex bias in the problem sets. Her findings, which show that, by and large, word problems embody the usual sex stereotypes, are described in detail. (SD)

The researchers of this study selected four pragmatic research questions that distance learning administrators with high-enrolling Independent Study courses, similar to those that Brigham Young University offers through its Department of Independent Study, may be interested in exploring. These questions included: (1) When tutoring services are…

High-performance computers coupled with highly efficient numerical schemes and user-friendly software packages have helped instructors to teach numerical solutions and analysis of various nonlinear models more efficiently in the classroom. One of the main objectives of a model is to provide insight about the system of interest. Analytical…