This paper describes six tricks on different mathematical concepts for mathematics classrooms. The mathematical concepts emphasized in these activities include arithmetic, modular arithmetic, limit cycles, graph theory, pairings, combinatorics, cyclic groups, induction, and sequences. (ASK)

This document plus diskette product provides nine interactive puzzles and games that both teach and provide practice with simple addition and subtraction concepts. The activities address these skills through carrying in addition and regrouping in subtraction. The activities address cognitive skills such as problem solving, planning, visual pattern…

A learning and teaching approach using base-10 blocks to embody the English named-value system of number words and digit cards to embody the positional base-10 system of numeration is described. Examines the students' understanding and arithmetic skills on the multidigit arithmetic. (Author/YP)

Discusses how to use calculators in the mathematics classroom. Provides some teaching examples. (YP)

This article proposes use of a restructured hundreds chart that involves a right-to-left sequence of numbers (similar to the direction of computations) and inclusion of zero. Specific instructional activities using the restructured chart are suggested for teaching such skills as counting, number identification, numerical relationships, place…

This document and accompanying video and audio tapes are designed for children in their first year at school. Each tape contains three items designed to supplement the early stages of learning mathematics: songs, stories, and activities. On each tape there is a story about Farmer and Mrs. Dobbs who live on Honeypot Farm with a varied assortment of…

Ways to make a discussion of the commutative properties of addition and multiplication more interesting to students are reviewed. An alternative promoted is a transposition-of-digits property, seen as useful in a number of instructional situations. The proposed investigation could be structured around calculator use. (MP)

Presents an approach to help elementary school teachers understand the difficulties involved in division by zero. Teaching suggestions to help guide students are included. (YP)

Explains how to code and decode messages using Hill ciphers which combine matrix multiplication and modular arithmetic. Discusses how a graphing calculator can facilitate the matrix and modular arithmetic used in the coding and decoding procedures. (ASK)

Illustrates how many key algebraic concepts can be informally developed within the number and operations strand taught in the primary grades. Discusses expressions and equations, properties and conventions, relationships between operations, and variables from this perspective. (ASK)

Discusses the characteristics of repeating decimals to facilitate the translation of repeating decimals to fractions. Describes the algebraic and arithmetic methods for converting the repeating decimal. Illustrates arithmetic operations for n-digit integer. Eight references are listed. (YP)

Discusses a teaching method for multiplication using manipulative materials. Provides examples of the teaching method and activities using individual chalk boards. Two references are listed. (YP)

Explores mathematical methods children use to find answers for themselves. Describes some methods used for multiplication and subtraction problems. (YP)

Concepts of fractions from an adult perspective as well as from a child's perspective are examined. Types of students' schemes for some terms related to fractions are reported. (YP)

Discusses the generalization of the meaning of multiplication for whole numbers. Presents an example for multiplication of fractions. Provides several diagrams to help improve understanding. (YP)