Describes a lesson on long division using chip trading which follows that algorithm for long division. (MKR)

Introduces addition, subtraction, multiplication, and division of fractions using area models such as rectangles and circles, or linear models such as the number line and fraction strips. (ASK)

The article offers an interpretation of "specially designed instruction" in arithmetic computation for learning disabled students which challenges overreliance on paper-and-pencil methodologies, rule-oriented procedures, and traditional sequences. Long division is used as an example of developing conceptual understanding to undergird computation.…

Some of the problems of learning disabled students which make teaching arithmetic difficult include: symbol-object relationships, reversibility of functions, perceptual deficits, multiplication tables, division tasks, word problems, and place values. Among suggestions for teachers are presenting and setting up problems according to students'…

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)

Discusses arithmetic during long-multiplications and long-division. Provides examples in decimal reciprocals for the numbers 1 through 20; connection with divisibility tests; repeating patterns; and a common fallacy on repeating decimals. (YP)

A "flipping" clown figure can be used on a number line to help students conceptualize operations using negative numbers. (SJL)

This book provides regular classroom and special education teachers with alternative, individualized methods of teaching math computation skills. Learning activities are designed to appeal to auditory, visual, and kinesthetic learning modalities. Six mathematics topics addressed include modeling addition and subtraction, basic facts for addition…

Discusses mathematics education research on multiplication and division which implies that instruction should emphasize development of a sound conceptual basis for multiplication and division rather than memorization of tables and rules. Presents action research ideas. (10 references) (MKR)

Presented is an activity which examines an arithmetic concept from a geometric point of view. Objectives, prerequisite learning, and procedures are discussed. Four worksheets are provided with answers. (CW)

Chapters 5 through 10 of a 14-chapter, three-volume work on arithmetical applications are contained in this document. Each chapter details the "use classes" of one broad arithmetical concept. (A "use class" of a concept is a set of examples of real world uses of the concept which share a common structure). Each chapter…

This guide contains classroom-tested problems designed to introduce and reinforce mathematical concepts in a quick, "fun" way. Activities emphasize the logic and reasoning skills needed to build a strong foundation in mathematics. The problems are thinking activities and require only upper elementary level mathematics skills. Activities are…

The objective of the Easy Math Program is to give all students (not just those with mathematical talent) an intuitive grasp of the quantitative principles on which mathematics is based, so they will be able to execute its basic operations with insight, and move on to its higher concepts with confidence. The program approaches this objective by a…

Describes the characteristics of progressive schematization with regard to column multiplication and column division. Contrasts this with column arithmetic based on progressive complexity. Presents a summary of research data concerning column arithmetic. (TW)

Discusses three methods to teach the order of operations to middle school students: (1) asking students to fill in operations in a statement to obtain a given answer; (2) using mnemonics to remember operation order; and (3) having students discover the logic system used by their calculators. (MDH)