A fraction table consists of a large number of lines taped to a table. Strips of paper that represent fractions can be manipulated on it to solve problems. Uses of the table for discovering fractions are discussed, considering equivalent fractions and adding, subtracting, multiplying, and dividing fractions. (JN)

Discusses the use of manipulative materials to model operations and algorithms. Indicates that they clarify the several interpretations of each operation, establish a basis for correct mathematical language, and show why algorithms work. (JN)

Describes activities designed as self-checking tasks involving practice with whole number operations. Materials consist of a set of boards partitioned into 36 squares; sets of 36 sentence/picture cards correspond with each board. A correct sentence or picture is then formed as students correctly perform the necessary mathematical operations. (JN)

Indicates how thinking strategies help children learn the basic facts for whole numbers, listing several strategies involved in addition, subtraction, multiplication, and division. Also lists books and articles for illustrations of the strategies and how to teach them, and two sources for research findings on thinking strategies for basic facts.…

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

Outlines various subtraction methods, such as the decomposition method, equal-addends method, and low-stress algorithm. Describes a subtraction method by addition of complements. Discusses the advantages and disadvantages of the method. (YP)

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)

Outlined is an interdisciplinary unit on statistics. Discussed are the goals, organization, the preinstruction survey, the math lessons, results, and evaluation. The survey and examples of the students' work are provided. (CW)

Included are activities published in this regular column in the "Arithmetic Teacher" from 1980-90 organized by topics and presented in a month-by-month format. Topics include estimation, fractions and decimals, geometry and spatial sense, measurement, number sense and numeration, problem solving, statistics and probability, and whole number…

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

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)

Four games modelled on television quiz shows are described. The games are useful for providing students with drill and practice on basic concepts and operations. (SD)

Described is a model for teaching improper fractions and mixed numbers and some activities for working with them at the precomputational level. (PK)

This article is reprinted from the February 1954 issue of the "Arithmetic Teacher." It is a succinct and perceptive analysis of mathematics education for children during the first half of this century. (MNS)

Provides instructions and worksheets for activities on: (1) sorting sets (grades K-one); (2) telling place values of two-/three-digit numbers (grades two-four); (3) recognizing multiplication/division facts (grades four-six); and (4) computing problems that contain multiples of 10, place value problems, and subtraction problems with many zeros…