This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

Included are two curriculum guides, Section D and Section E, which continue instruction of the three guides in SE 012 723. Counting (by ones, by twos, by threes, ..., by twelves) is extended to 144 in Section D and to 1000 in Section E. The creation and manipulation of more complex equations are taught, including the notion of substitution. The…

This discussion centers around the division process and suggests that the method of recording division might cause confusion. The role of fractional notation is discussed. (MP)

Two difficulties that students have in computing with fractions are idenfitied. Then a procedure is described, stressing the identity element, that resolves these difficulties and increases students' understanding and retention. (MNS)

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)

This ERIC Digest overviews recent research on teaching and learning fractions and provides suggestions for practice, help in locating resources having direct application in the classroom, and sources for further reading in the literature. Students' conceptions of fractions or rational numbers, common mistakes teachers make, and new teaching…

This textbook presents the divisions of arithmetic in their natural order. The fundamental operations upon integers, common fractions, decimals, denominate numbers, and numbers expressed by letters, are followed by their applications to business and to various employments. The pupil is taught to develop observation and thought power, rather than…

This textbook seeks to (1) present to the young mind, unacquainted with the methods of exact reasoning, the elementary principles of arithmetic in their simplest form and combination; and (2) explain and illustrate the various applications of arithmetic in the transactions of business, and thus make known its great practical utility.

A method for finding greatest common factor of the numerator and denominator of a fraction is described and then proved. (DT)

An outline of the way that fractions might be presented in ninth grade algebra is given, and implications for elementary school instruction are noted. (DT)