Suggests that no matter how much algebraic thinking is introduced in the early grades, and no matter how worthwhile this might be, the failure rate in algebra will continue unless the teaching of fractions and decimals is radically revamped. The proper study of fractions provides a ramp that leads students gently from whole number arithmetic up to…

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

This handbook was designed to be used in staff development programs for teachers of fourth and fifth grade mathematics. The program strives to make the teaching and learning of mathematics more meaningful by emphasizing process experiences. Good questioning techniques, problem exploration strategies and the use of manipulative materials are…

This booklet is intended to assist tutors in helping transitional and low-level adult basic education (ABE) students acquire the math skills required to make a successful adjustment to regular ABE classes. The exercises provided are intended primarily for use in student-tutor learning teams, with students gradually completing greater portions of…

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers the concept of percent. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with directions for module completion; information…

Used as an integral part of the migrant student skills system operated by the Migrant Student Record Transfer System (MSRTS), the math skills list contains a catalog of math skills typical of the K-9 grade range. This catalog includes a sample of the MSRTS transmittal record, a reporting form which permits teachers to report the math skills…

The second of four quins intended to develop computational skills with non-negative rational numbers through applications to business and industry, this guidebook on minimum course content is designed for the student who has acquired basic computational skills with non-negative rational numbers. Overall course goals are specified, a course outline…

It is suggested that elementary school students find rational numbers troublesome because some teachers have an inadequate understanding of rational number concepts and poor facility with rational numbers skills. How to help them overcome difficulties, develop concepts, and know what topics to emphasize are discussed. (MNS)

The relative effectiveness of three methods of teaching fraction computation in the context of the community college was investigated. The use of calculators was a special focus of the study. The three methods were: (1) conventional algorithms with no calculator, (2) conventional algorithms with calculator, and (3) alternative algorithms using…

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…

Forty-five students divided into six experimental groups were given a programed presentation using teaching machines, which included different feedback procedures. The most efficient feedback procedure was that of administering a specific review until the criterion frame performance was correct. The least efficient procedure was that of repeating…

This booklet explains in detail how a number line can be used to demonstrate adding, subtracting, multiplying, and dividing fractions. The fractions 5/7 and 2/3 are first used as examples for each operation, then results are generalized to operations on a/b and c/d. (Related documents are SE 015 950 and SE 015 951.) (DT)

The use of the hundred chart is discussed as an effective means of teaching the concepts of least common multiple and greatest common factor. (MP)

Activities and manipulative materials for helping children see and understand fractions are described. (MT)