This text was written for junior high school teachers who wish to have more mathematical background on number systems. It is particularly useful for teachers who teach SMSG materials at grades 7 and 8. Chapters included are: (1) Introduction; (2) Numeration; (3) The Whole Numbers; (4) Divisibility and Properties of Whole Numbers; (5) The…

This document is an instructional module package prepared in objective form for use by an instructor familiar with mathematics as applied to water and wastewater plant operation. Included are objectives, instructor guides, and student handouts. This module is the second of a three level series and addresses ratio and proportions, graphs, total…

ENRICHED ACTIVITIES DEVELOPED BY TEACHERS ARE LISTED IN OVERLAPPING SUBJECT AREAS. MATERIALS, GAMES, AND EXERCISES IN ARITHMETIC, LANGUAGE, MUSIC, READING, SCIENCE, AND SOCIAL STUDIES ARE ALSO LISTED. EXAMPLES ARE--(1) AN OUTLINE CLASSIFYING AN INSECT AND OBSERVING ITS HABITS, (2) ARITHMETIC PROBLEMS TO DEVELOP LOGIC IN SOLVING WORD PROBLEMS, (3)…

THE PROGRAM'S PURPOSE WAS TO RAISE PUPIL'S ACADEMIC ACHIEVEMENT, INCREASE THE PROCESSIONAL GROWTH OF THE STAFF, DEVELOP PUPIL POTENTIAL, BRING ENRICHMENT TO BOTH CHILDREN AND THE COMMUNITY, AND DEVELOP A WHOLESOME, HARMONIOUS, AND INTELLIGENT RELATIONSHIP BETWEEN THE SCHOOL AND THE COMMUNITY. STAFF EVALUATIONS OF THE PROGRAM REVEALED DEFINITE…

Three studies attempted to assess the relative effects of two methods of instruction: (1) teaching by a carefully structured sequence of questions (intermediate guidance) and (2) teaching by stating each concept with illustrations and then having the students practice the behavior embodied in these concepts (maximal guidance). One of the studies…

This publication is the first part of a series "Mathematics - Pre-Kindergarten, Kindergarten, and Grade One." This bulletin is a part of the developing curriculum program that incorporates the pre-kindergarten into the educational system and reorganizes mathematics materials in the early childhood years. Part One of the program presented…

The curriculum guide for secondary level, career-oriented General Mathematics Part 1, correlates performance objectives in basic mathematics with career-oriented concepts and activities. The material is designed to lead the student in a systematic development that provides for continuous progress. The guide is in outline format, providing a…

The purpose of this study was to gain information which would be helpful in designing and implementing a mathematics clinic in a university setting which would serve three purposes: provide remedial instruction for elementary- and secondary-school under-achievers, provide a situation in which the process of learning mathematics might be studied,…

The workbook is intended to help the vocational high school student understand and gain competence in working with fractions. The exercises provide practice in reducing and changing fractions, multiplying, dividing, finding a least common denominator and equivalent fractions, adding and subtracting. The types of fractions are also defined. Quizzes…

The purpose of this study was to measure the effects of tutoring low achievers on the concepts of carrying and borrowing before they were introduced in the classroom. Twelve low-achieving second-grade students were tutored on these concepts. The tutored children, along with members of two control groups, participated in a pretest covering these…

To assess the effects of traditional and experimental approaches to a remedial mathematics course at Pasadena City College, data was collected on a control and experimental class of the course. The control class was taught by a teacher who was assigned the class in order to complete his teaching load; this class was taught in the traditional…

The purpose of this study was to investigate the effects of three instructional strategies on arithmetic achievement. The instructional strategies used in the study were drill, drill with feedback, and mixed drill. The materials were remedial in nature and were presented via computer-assisted instruction. The subjects for the study were junior…

This experiment compared the motivational effects of cognitive incentives (goal setting techniques) and investigated these effects combined with social interaction (individual pupil-teacher conferences). Subjects were 48 predominantly Negro, low-socioeconomic status, third and fourth graders from three arithmetic classes, representing high,…

In order to study empirically measurable characteristics of the tutorial relationship between an older student and a younger student, two separate investigations were conducted during two consecutive academic years, using different third graders as tutees and college or high school students as tutors in each study. The first research investigation…

In 1971 and 1972 a group of Ecuadorean evaluators planned and carried out an evaluation of the new textbooks for reading, mathematics, and sciences in the first grade classrooms of 88 schools. A field experiment was designed in which each school was assigned to a test condition: (1) obligatory use of all the textbooks and guides, (2) use of the…