The Assessment Tool for Moderately Retarded Students in Academic Skills (1978) is designed for moderately retarded students (5-21 years) and mildly retarded students (3-14 years) who will be living in sheltered home and work settings. The assessment tool is based on a life centered curricular model concerned with developing--in a sequential…

Teacher preparation curriculum at Technion--Israel Institute of Technology (Israel) includes courses intended to bridge the gap between the pure mathematics courses and those in psychology. The focus of this paper is an experimental program for one of these courses and data collected while implementing it. This is a second report on a naturalistic…

After observing secondary school students having great difficulty learning geometry in their classes, Dutch educators Pierre van Hiele and Dina van Hiele-Geldof developed a theoretical model involving five levels of thought development in geometry. It is the purpose of this monograph to present English translations of some significant works of the…

Exponential growth is a mega-concept which has many applications. It is fundamental to understanding how and why systems work and fail, be they natural or man-made systems. Lessons/activities in this booklet are designed for Florida teachers to help provide their students with an understanding of the nature and implications of exponential growth.…

This syllabus was designed as an elementary school mathematics methods course and is used with interns in a Teacher Corps project at Oklahoma State University as a part of their practicum experience. The course is conceived as a blend of directed readings, seminars, independent study, workshops, and practica. The syllabus is divided into four…

The need for teachers to determine whether their students have the skills necessary to learn and to help their students develop missing skills is emphasized. It is felt that it is possible to teach both content and learning skills simultaneously without sacrificing content. This document offers informal, diagnostic testing devices that can be used…

A student-suggested project at an elementary-level mathematics laboratory using an adding machine to print a million twos is presented and described. Questions, problems, and activities that took place as the project was carried out are described. The process of producing twos presented all children with the necessity of gauging time intervals and…

This report describes the results of Connecticut's second statewide assessment of mathematical knowledge, skills and attitudes. The Connecticut Assessment of Educational Progress annually tests a sample of Connecticut students in grades 4, 8, and 11 in one or more subject areas. Students at each grade level were randomly selected to participate in…

This report opens by asking how operations in general, and addition and subtraction in particular, are characterized for elementary school students, and examines the "standard" instruction of these topics through secondary schooling. Some common errors and/or "sloppiness" in the typical textbook presentations are noted, and…

Eight lesson plans on mathematics are presented in this performance-based curriculum unit for distributive education. This unit is self-contained and consists of the following components: introduction (provides overview of unit content and describes why mastery of the objectives is important); performance objectives; pre-assessment instrument…

This book is the teacher's manual to a text designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. It is a manual of suggested teaching strategies and additional materials aimed at compensating for past student failures to understand mathematical concepts. This book, L, is…

This is the final report of a research project. The goal of the project was to record a large collection of mathematical performances by students and to develop a system for analyzing these performances. The subjects observed included students in grades 3, 4, 5, 6, 7, and 9 and three adult groups. Four specific results are reported: (1) a large…

THE OBJECTIVE OF THIS RESEARCH WAS TO EXTEND, ELABORATE, AND IMPROVE THE SET-FUNCTION LANGUAGE (SFL). THE SFL IS A NEW SCIENTIFIC LANGUAGE FOR FORMULATING RESEARCH QUESTIONS ON MEANINGFUL LEARNING, FRAMED IN TERMS OF THE MATHEMATICAL NOTIONS OF SETS AND FUNCTIONS. IN THE FIRST PAPER, THE SFL IS DESCRIBED. ITS RELATION TO THE STIMULUS RESPONSE…

Intended for the teacher of the educable mentally retarded, the guide uses three approaches to teaching mathematics: the systematic teaching of basic skills, the unit approach to apply skills and concepts from several subject areas to a common topic, and the incidental application of learned skills to current experiences. Structured by…

This report describes comparative evaluations of the Distar I (first grade) and Distar II (second grade) programs which were carried out in 1972-1973. Results showed: (1) the Distar program for first grades had no conclusive advantage over traditional instruction for the development of oral language or reading achievement; and (2) second grade…