Tests for divisibility in bases 2 through 10 are presented. Two strategies used by a group of fourth-year students are described. (MNS)

Representation of integers in various bases is explored, with a proof. (MNS)

Presents a mathematics game appropriate for middle school or high school students that aids in the teaching and understanding of closure properties. (Author/NB)

The goal of this study was to describe characteristic stages in the development of children's understanding of place value. Sixty children (15 in each grade, 2 through 5) at 5 elementary schools in Butte County, California, were individually administered 18 tasks designed to reveal their thinking about place value and part-whole relations. On six…

Describes various aids and activities to help in planning lessons that will encourage the development of sound place value knowledge. Also discusses various instructional strategies to help students avoid problems which may lead to an incomplete or faulty understanding of place value. (JN)

Arithmetic reading can be made lighter if teacher explains vocabulary, selects simple text, and aids in improving reading skills. (DS)

Discusses multiple symbols for zero and the long-count system which were used by the Maya. (KHR)

Discusses figurate number learning activities using patterns and manipulative models. Provides examples of square numbers, triangular numbers, pentagonal numbers, hexagonal numbers, and oblong numbers. (YP)

Why a computer error occurred is considered by analyzing the binary system and decimal fractions. How the computer stores numbers is then described. Knowledge of the mathematics behind computer operation is important if one wishes to understand and have confidence in the results of computer calculations. (MNS)

The origin, properties, and applications of various number systems are discussed. Among the 15 topics discussed are: tests for divisibility, the binary system, the game of Nim, computers, and infinite number representations. (MK)

The study of number bases, facilitated by programing a microcomputer, helps students make mathematics discoveries. Several programs are given and discussed. (MNS)

Presents an insightful approach to algebra that enhances both personal and classroom communication through the process of solving a linear equation. (KHR)

Discusses mental computation and how and when it should be taught. Describes seven properties of mental algorithms. (YP)

In this study, Piagetian theory is extended to explore ways in which children construct their understanding of our notational system and place value. Eighty children aged 4 to 9 were asked to group objects, draw pictures of grouped quantities, write numerals to indicate amounts, and theorize about the relationship between their written numerals…