ERIC_NO:
ED264088
TITLE:
Applying Arithmetic: A Handbook of Applications of Arithmetic. Part II: Operations.
AUTHOR:
Usiskin, Zalman; Bell, Max
PUBLICATION_DATE:
1983
ABSTRACT:
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 contains: an introduction and summary; three
to six sections, each devoted to one use class and containing a general
introduction, questions, and comments; suggestions for teaching or
illustrating a given concept; questions which test understanding of the
ideas presented; and notes and commentary, with reasons for selecting
particular use classes, related research, and short essays on issues related
to applying the concepts. Topics of the chapters include: uses of addition,
discussing putting together, shift, and addition from subtraction (chapter
5); uses of subtraction, discussing take-away, comparison, subtraction
shift, and recovering addend (chapter 6); uses of multiplication, considering
size change, acting across, and rate factor (chapter 7); uses of division,
considering ratio, rate, rate divisor, size change divisor, and recovering
factor (chapter 8); uses of powering, discussing change of dimension,
growth, and notation (chapter 9); and uses that combine operations, such
as those involving exactly two classes (chapter 10). (JN)
MAJOR_DESCRIPTORS:
Arithmetic; Elementary School Mathematics; Mathematical Applications; Mathematics Instruction; Teaching Methods;
MINOR DESCRIPTORS:
Addition; Division; Elementary Education; Mathematics Education; Multiplication; Subtraction;
IDENTIFIERS:
*Exponents (Mathematics); National Science Foundation
PUBLICATION_TYPE:
052