Pascal's Triangle is an important numerical table; with its help, a number of computation problems may be solved. Some of these problems are examined and the question of what"solving a problem" can mean is generally considered. (Author/MK)

This research addressed itself to the development of a novel teaching-learning scheme for non-trivial, first-degree equations in one unknown, based on an analysis of the notions and misconceptions of junior high students. The approach was tried in a "teaching experiment" involving six case studies of students of various abilities in…

This is part one of a two-part SMSG textbook for inservice education of elementary teachers. Part one contains Unit A and 5 chapters of Unit B. Chapter titles of Unit A are: The Mathematics Programs, Grades K-3; Description of Culturally Disadvantaged Children; Language and Mathematical Instruction; and Number Concepts of Disadvantaged Children.…

This is part two of a two-part SMSG textbook for inservice education of elementary teachers. Part two contains chapters 6 through 14 of Unit B: Addition and Multiplication; Subtraction and Division; Numeration: Naming Numbers; Premeasurement Concepts; Addition and Subtraction Techniques; Introducing Rational Numbers; Measurement; Multiplication…

The Summer Umbrella Program was designed to provide remedial instruction to children with demonstrable needs in reading, mathematics, and English as a second language. Instruction functioned on an individual or small group basis, employing a flexible, eclectic, multi-modality methodology. The instructional design was diagnostic/prescriptive. Pre…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module, intended to present a treatment of congruent triangles which is not totally axiomatic, contains six sections: (1) Draw vs. Construct; (2) Triangle Construction; (3) Arguing for Congruence; (4) Parallel Line Construction; (5)…

This K-8 curriculum guide is intended to provide the direction and structure necessary for a unified mathematics curriculum. In addition, it is intended that this guide help raise the scores on the Georgia Criterion Referenced Test (CRT) and the Comprehensive Test for Basic Skills (CTBS). The guide contains: notes to the teacher; an explanation of…

Differences between black, anglo and chicano male and female adolescents were studied to determine the extent to which these differences are associated with differences in attitude toward mathematics, parental influence, peer influence, and societal influence. Findings supported the conclusions of similar studies with the exception of a more…

The behavior of junior high school students and teachers in English and mathematics classes was observed from November through April in an attempt to identify the relationship between teacher and student behavior, compare behaviors in the two different classes, and note changes in behavior over this period. Some fluctuation was observed in task…

This paper reports the formative evaluation of six curriculum units related to initial number sentence writing. These units were used for a coordinated study carried out by the Mathematics Work Group of the Wisconsin Research and Development Center for Individualized Schooling. The units were tried during the 1977-78 and 1978-79 school years at a…

This module, concerned with measurement, provides a series of 12 worksheets that allow students to: compare their ability to walk and run to their physical attributes, play a game that involves various senses and measurements, and be grouped by various means and then compare the groups with certain measurements. Teaching suggestions are provided.…

This project involves devising and evaluating a sales tax schedule to meet the specific revenue needs of a hypothetical state in the United States. Conducting this unit involves many mathematical skills in a learning environment familiar to the student. The essential parts of the project consist of student preparation of a tax schedule and class…

This presentation attempts to illustrate that mathematics in the elementary grades is not and should not be "culture free." As a prescriptive course, the discussion gives suggestions on how to improve the mathematics experience of elementary school children by using the culture of both the teacher and the learner in mathematics instruction.…

AN ACTION PROGRAM ATTEMPTS TO PROMOTE BETTER ACADEMIC ACHIEVEMENT FOR MINORITY GROUP CHILDREN. ABOUT 70,000 CHILDREN ARE INVOLVED IN THE ASSC PROGRAM, THREE AFTERNOONS A WEEK. IN ADDITION TO THE REMEDIAL SERVICES AND TEACHER ASSISTANCE, SCHOOL LIBRARIES AND HOMEWORK ROOMS ARE MADE AVAILABLE TO ASSC PUPILS AND PROVIDE STIMULATION FOR THOSE NEEDING…

This book was written in response to a need expressed by Infant's Mistresses in the North Sydney Region of the New South Wales Department of Education. They felt there was a need to evaluate children's progress in mathematics in order to diagnose the causes of individual failures, and they discovered there was no readily available information on…