Fifty students (ages 7 to 16 years) attending a children's psychiatric center's psychoeducational program were assessed for achievement levels in reading, spelling, and arithmetic on admission and for gains made during the program. Among results were that students who stayed in the program 12 months or less made significantly more gains on pooled…

This basic mathematics course is composed of eight lessons. Each lesson contains a pre-test and post-test, problems and examples oriented toward water and wastewater operations, suggested supplemental readings, and estimated time for completion. The topics of the lessons are: (1) numeration; (2) whole numbers; (3) fractions; (4) decimals; (5)…

THE PURPOSE OF THIS BOOK IS TO DESCRIBE LEARNING AIDS THAT MAY BE MADE BY A TEACHER OR CHILDREN FOR USE IN MATHEMATICS PROGRAMS IN THE ELEMENTARY SCHOOL. THESE AIDS ARE OF TWO TYPES--MANIPULATIVE AND VISUAL. DESCRIPTIONS IN THIS BOOK INCLUDE (1) THE PURPOSE OF THE TEACHING AID IN A MODERN MATHEMATICS PROGRAM, (2) EXAMPLES OF ITS USE, AND (3) ITS…

FOLLOWING THE CONTENT OF THE ARMED FORCES EXAMINATIONS, THIS BOOK IS PROGRAMED WITH STEP-BY-STEP DIRECTIONS, TESTS, AND CORRECT ANSWERS AND SOLUTIONS. THE CANDIDATE CAN SIMULATE TAKING THE ACTUAL EXAMS BY ANSWERING THE AUTHENTIC QUESTIONS AND PROBLEMS, MARKING THE ANSWER SHEET, AND EVALUATING HIS OWN APTITUDE BY COMPARING HIS ANSWERS WITH THE…

NINETY FIRST GRADE CHILDREN WERE RANDOMLY SELECTED FROM 3 SCHOOLS (WHICH EACH USED A DIFFERENT ARITHMETIC PROGRAM) TO PARTICIPATE IN A STUDY TO INVESTIGATE THE EFFECTS OF 2 VARIABLES ON THE CHILDREN'S ABILITY TO SOLVE ADDITION PROBLEMS. THE VARIABLES WERE (1) THE PRESENCE OR ABSENCE OF AN EXISTENTIAL QUANTIFIER PRECEDING THE START OF THE PROBLEM,…

THIS BOOKLET, ONE OF A SERIES, HAS BEEN DEVELOPED FOR THE PROJECT, A PROGRAM FOR MATHEMATICALLY UNDERDEVELOPED PUPILS. A PROJECT TEAM, INCLUDING TEACHERS, IS BEING USED TO WRITE AND DEVELOP THE MATERIALS FOR THIS PROGRAM. THE MATERIALS DEVELOPED IN THIS BOOKLET INCLUDE (1) NUMERALS AND GEOMETRICAL PATTERNS, (2) ACTIVITIES FOR DISCOVERING PATTERNS…

The materials in this booklet are designed especially for the low achieving student in mathematics. Containing some materials from a course in general mathematics, the booklet is intended to be used in conjunction with conventional textbook materials and is designed to serve as a source of new ideas for teachers and to relieve the teacher of much…

A basic skills program designed for first- to sixth-grade students who were underachieving in reading or arithmetic was evaluated. The program was designed to raise the students' levels of achievement and to improve their attitudes toward learning. A staff development program designed to introduce teachers to new methods of teaching basic skills,…

Six tests were constructed, four on a pictorial level and two on a symbolic level, to measure the performance of fourth-, fifth-, and sixth-grade children, in three different ability groups, on problems concerning ratios or fractions. Two variables were of interest in the four tests on a pictorial level: (a) "equal" ratio situations vs.…

This booklet, one of a series, has been developed for the project, A Program for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet include (1) systems of numeration from an historical point of view, (2) a…

This booklet, one of a series, has been developed for the project, A Program for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet include (1) the meaning of probability, (2) counting outcomes, (3) mutually…

This student discussion guide is intended to accompany "Explorations in Mathematics," a text for teachers. The materials in this booklet relate mainly to variables, graphs, signed numbers, logic, identities, functions and matrices. The materials were designed to be used as supplementary materials with students in grades 5 through 9. (RP)

A Word Problem Program was set up to teach elementary school students how to solve arithmetic word problems and to teach some problem solving skills applicable to nonword problems. All instruction is accomplished through a computer program. Goals of the program are described along with three basic instructional decisions and the reasons for them,…

This report is a follow-up to the report presented by the Advisory Committee on Mathematics to the California State Curriculum Commission in 1962. Recommendations are made for continued studies, experiments, and evaluations by the State Department of Education in the areas of mathematics teaching and the in-service education of teachers. Special…

This book emphasizes the importance of teaching mathematics in a meaningful way. It is designed for elementary school teachers who are interested in why and how certain mathematical concepts and skills work. Topics discussed include: numbers and numerals; sets and sentences; the teaching of addition, subtraction, multiplication and division in the…