Presents activities developed for teacher training courses for the middle school level that integrate mathematics history with the selected topics of number systems, fractions, and geometry. The activities seek to give relevance to history and to motivate and deepen students' understanding of the evolution of mathematical concepts. (MDH)

Discusses 4 numerical patterns occurring in the decimal expansions of 2 raised to a negative exponent. Includes two row patterns, one diagonal pattern, and a pattern in the sum of the digits of the expansions. Conjectures are presented for each pattern and subsequently proved. (MDH)

Presents a description of pedagogical content knowledge in mathematics, constructed from interviews with fifth grade teachers; suggests modifications in the general conception of pedagogical content knowledge based on this description, and suggests revisions in teacher education practices to improve teachers' understanding of pedagogical content…

Describes recent offerings in math software for fractions lessons that provide instruction and interactivity not previously available in electronic formats. Compares three products, including selection criteria for multimedia supplemental materials. A table provides specific information on the products, including grade level, format, system…

This guide contains a collection of alternative techniques for teaching arithmetic that have proved useful in teaching both children and adults with various learning problems. Discussed first are several underlying principles of instructing individuals with learning disabilities, problems, and differences and special accommodations for…

This learning module reviews basic mathematics operations involving fractions and decimals and explains the use of the percent wheel in solving percent problems. The module, which was developed for use in a course of six 2-hour sessions for hospital employees working in the environmental services and nutritional services departments, is intended…

This instructor's guide contains materials for a course designed to prepare employees for statistical process control (SPC) training given at their workplace by refreshing math skills and building the concepts and vocabulary necessary to understand SPC in manufacturing environments. SPC-Prep 1 addresses the math skills necessary to perform SPC…

This paper describes an experiment that investigated the effects of goals and self-evaluation on self-regulation processes and achievement outcomes of (n=44) fourth grade students who received instruction and practice on fraction operations. Half of the students were provided with the goal of learning how to solve problems (learning goal) and the…

Part of a larger project, "Technology, Educational Media & Materials--Assessing the Social and Cultural Impact of Group-Based, Videodisc Math Instruction in Mainstreamed Classrooms," this study addressed the question of whether the level of student achievement differs across levels of implementation of a mediated program that is based on a…

The foreknowledge that a given school mathematics problem might have no specific solution or no solution at all affords students the challenge of investing careful consideration in the explicit problem conditions, as well as in the problem's unstated assumptions. Hence, the implication is that mathematics teachers, rather than speaking to their…

This teacher's guide is the ninth in a set of 20 activity booklets for teaching mathematics to children in grades 1-8. The 20-level curriculum embodies carefully delineated areas of learning arranged in progressive stages, eliminating grade restrictions and permitting continuous growth according to the individual's ability and rate of learning.…

The processes and strategies used by Finnish second graders in solving verbal multiplication and division tasks were investigated, and the relationship of these processes and strategies to Piagetian abilities, memory capacity skills, and rational number concepts was charted. Three categories of strategies were classified: operations based on…

In this practicum students' (n=27) learning styles were used to develop teaching lessons and strategies that would improve mathematics learning in a second grade classroom. Each child's learning style was determined through the Swassing-Barbe Modality Index (SBMI). Pretests for mathematics concepts were given. Each concept was then taught…

Learning the techniques of critical thinking and problem solving can be easy for children when presented problems involving fun topics. Problem sets which range from easy to hard written by elementary school students and educational consultants are included. Topics include addition, subtraction, multiplication, division, and fractions. Each topic…

A study explored the effectiveness of an instructional approach designed to help students establish connections between their understanding of the decimal system and the stardard symbols and procedural rules used to solve decimal problems. Ten children each in grades 4 through 6 participated. They were individually interviewed prior to and six…