Traditional methods of teaching addition include algorithms that involve right-to-left procedures. This article describes efficient procedures for left-to-right addition and subtraction involving computation and computational estimation that reflect children's natural behaviors observed during activities with unifix cubes. (MDH)

Discusses various research findings aimed at helping teachers provide a classroom climate which leads students to develop better number sense. Focuses on number and symbol meaning, including number size, place value, and fractions, as well as computation and computational estimation. (MKR)

Mathematics instruction can be approached as a cognitive skill, as illustrated by these elementary-level classroom activities. (LH)

Describes a method of teaching the order of mathematical operations based upon the psychological theory of conceptual generalization. (MDH)

Defines one approach to problem solving in terms of student use of algorithms to find their solutions and gives examples. Discusses how problems and algorithms relate to each other. Describes strategies for teaching problem solving using algorithms. (CW)

Discusses developmentally appropriate activities for teaching counting skills for kindergarten and early first-grade programs. Describes four activities: (1) counting on; (2) counting back; (3) auditory patterning; and (4) visual patterning based on the 10-frame. (YP)

Provides the instructions to build a homemade calculator that can be used as a reinforcement device to assist primary students in memorizing their addition facts. (MDH)

Discusses the use of middle-school students' natural understanding of large numbers to introduce the concept of infinity. Presents activities that investigate infinite sets by demonstrating a one-to-one correspondence between the counting numbers and the given set. Examples include prime numbers, Fibonacci numbers, fractions, even and odd numbers,…

Features five activities to nurture "number sense," promote practice in mental calculations, and promote student self-confidence in mathmatical operations. These are "hands-off" exercises that are preparatory to calculator and computer use for math. (ET)

Proposed is a gradual transition from arithmetic to the idea of an equation with variables in the elementary grades. Vertical and horizontal formats of open sentences, the instructional sequence, vocabulary, and levels of understanding are discussed in this article. (KR)

Applications of generalizations of both arithmetic and geometric progressions are presented. The first-order difference equation is used in solving seven examples from finance, business, and medicine. Detailed directions are included for each example. (KR)

Described is a student-produced bulletin board that illustrates that mathematics is a universal language and that mathematics is being created around the world. Presented are two approaches for resolving a problem involving three equations and three unknowns. (KR)

This guide describes 20 learning activities that can be used with elementary school students on the topic of probability and statistics. 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…

This Teacher Resource Manual (TRM) is designed to help teachers implement the Mathematics 20, 23, and 24 courses. The TRM is a support document that provides helpful information to classroom teachers. An overview of the Course of Studies for Mathematics 20/23 and 24 is provided at the beginning of each course section in the TRM. The overview…

The Mathematics 16 program provides for the development of essential concepts, skills, and attitudes required for effective computation and problem solving. The program is activity-based, and addresses the need for students to be able to transfer and apply specific mathematical concepts and skills to more generalized situations in everyday life…