The concept of exponents has been shown to be problematic for students, especially when expanding it from the domain of positive whole numbers to that of exponents that are negative and later rational. This paper presents a theoretical analysis of the concept of exponentiation as a continuous operation and examines the deficiencies of existing…

This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…

The authors suggest how the patterns in the digits in the multiplication tables may be exploited in the classroom. (MM)

Activities are described which make use of rectangular arrays as a means of illustrating multiplication facts and the distributive property. (DT)

Practice on computation is provided using new and novel situations, with discovery of number patterns a bonus of the computation. Activities with disguised addition and multiplication tables for whole numbers and integers are presented for varying levels. (MNS)

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

A method of multiplying using fingers is described and an explanation given. The method is then generalized to other number bases. (MP)

This volume is the seventeenth in a series of 29 coordinated MINNEMAST units in mathematics and science for kindergarten and the primary grades. Intended for use by second-grade teachers, this unit guide provides a summary and overview of the unit, a list of materials needed, and descriptions of five groups of activities. The purposes and…

Greatest common factor and least common multiple are the concepts used to play this game that has football as its basis. Rules and examples are given. (MP)

A systematic search is given for products where reversing the digits does not change the answer. Related questions are suggested that can be solved by the same discovery approach. (MP)

How to develop multiplicative magic squares is discussed. Various types of numbers are used in the examples. (MNS)

Activities with triangular, square, pentagonal, hexagonal, and octagonal numbers are briefly discussed. (MNS)

A computer program in BASIC is presented, with the underlying algorithm explained, for multiplying any two multi-digit numbers and obtaining an exact answer. (MP)

The described game provides children with practice in multiplying by three and in comparing the values of sets of coins. (SD)

Four activities and related worksheets are provided. The activities, all concerned with multiplication, are directed toward students at different levels, and deal with repeated addition, basic facts, and factorization. (SD)