This article describes how students investigated numerical data resulting from an engineering experiment as a way to develop understanding of reciprocal functions. (Contains 7 figures.)

In this study, six elementary grade children with developmental dyscalculia were trained individually and in small group settings with a one-semester program stressing basic numerical knowledge and conceptual knowledge. All the children showed considerable and partly significant performance increases on all calculation components. Results suggest…

Preschool children are often good at counting things but seem slow to learn that there is more to counting than simply finding out how many are in a single set. Counting is useful when comparing sets and when creating new sets to match existing ones. This is part of the numerical understanding that educators wish to foster in schools. In two…

This paper will describe results concerning the impact of the PD on the three primary study outcomes: teacher knowledge of rational number topics, teacher instructional practices, and student achievement in rational number topics. All analyses are completed. However, the results cannot be shared at this time because the report is currently under…

This guide describes 47 number and numeration learning activities that can be used with elementary school students. These activities have been developed using the mathematics laboratory approach. This publication is designed to serve as a stimulant to encourage teachers to open their minds and employ their imagination in developing further…

Six- to eight-year-old children (N=42) who were identified by their teachers as within the average range of ability in mathematics were individually tested on three different mathematics tasks. On the flashcard task and the nonverbal task where children replicated the number of buttons placed under a box, the same 14 addition problems with sums up…

There are numerous teaching suggestions to offer in guiding pupils to greater achievement in mathematics. This paper suggests that the instructor should begin where the pupil is presently and observe what interests the pupil in learning. Different methods for teaching mathematics such as using blocks, beads, films, filmstrips or slides, a…

The authors recommend introducing complex numbers by first studying the integers modulo seven. (SD)

Motivation for practicing basic arithmetic skills is provided by activities based on dart board games. There activities also require participants to devise winning strategies, adding enrichment to the game-type drills. (JP)

An activity is described which can be used to introduce students to the general divisibility test for nine. (JP)

An activity is presented that involves an unusual multiplicative operation on natural numbers. Described are interesting properties that students may discover when using the new operation. (JP)

This book is for boys and girls who know the numbers from one to thirty thoroughly, who can count to one thousand, who know something of the multiplication tables of two, three, four, five, six, ten, and twelve, and who understand the simplest facts about fractions. This book is both to be read and to be studied. It calls for oral recitation and…

These syllabuses for K-6 were written, evaluated, and revised by a team of writers from the Orange County Science Education Improvement Project (OCSEIP). OCSEIP is a cooperative enterprise undertaken by the University of California (Irvine), California State College at Fullerton, the Orange County Schools Office, and local districts throughout…

An approach to the teaching of division of fractions is described. Diagrams illustrating the division process are provided. (SD)