Two distinct approaches, one based on item response theory and the other based on observed item responses and standard summary statistics, have been proposed to identify unusual response patterns. A link between these two approaches is provided by showing certain correspondences between Sato's S-P Curve Theory and item response theory. This link…

THIS PUBLICATION OUTLINES SOME OF THE TERMINAL BEHAVIORAL OBJECTIVES OF THE ELEMENTARY MATHEMATICS INSTRUCTIONAL PROGRAM. INSTRUCTIONAL OBJECTIVES WHICH SPECIFY EXPLICITLY WHAT SKILLS PUPILS HAVE MASTERED ARE INDICATED FOR MANY OF THE TOPICS OF MATHEMATICS. FOR EACH OBJECTIVE, AT LEAST ONE EXAMPLE IS GIVEN TO CLARIFY THE BEHAVIORAL CRITERION WHICH…

THE ARITHMETIC CURRICULUM BEGINS WITH GROUPING AND MANIPULATION OF OBJECTS, CONSTRUCTING AND MEASURING THINGS, AND DRAMATIZING NUMBER SITUATIONS. THE CHILD SHOULD NOT BE ALLOWED TO REMAIN IN THE MANIPULATIVE STATE BUT SHOULD BECOME PROFICIENT IN USING NUMBERS ABSTRACTLY. THE SUBJECT MATTER IN THE FIRST GRADE INCLUDES COUNTING, WORKING WITH…

This study was concerned with the development of a consistent and reliable arithmetic achievement test to assess the arithmetic ability of educable mentally retarded youngsters ranging in age from thirteen through sixteen. The instrument so constructed is intended to be administered individually, and it requires the subject to do little reading or…

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 addition and subtraction of whole numbers on the number line,…

This instructional bulletin was prepared to assist teachers in planning and presenting the sequence of mathematics topics to slow learners. The course is designed to fulfill the high school graduation requirement of one semester of mathematics in the ninth grade. This course combines simple presentations of topics from modern mathematics with new…

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…

Using drawings of various monsters to explain and enhance the learning activities, this arithmetic/mathematics curriculum guide begins with exercises requiring basic number identification. The remainder of the guide includes over one hundred addition and subtraction activities including crossword puzzles, maps, and number matching. (SH)

This paper outlines problems which are central to the psychological foundations of mathematics. Discussed are the relations that exist between psychological and classical foundations of mathematics. It is shown how the inadequacies of current learning theories which account for complex mathematics learning may be made explicit for appropriate…

These materials were written with the aim of reflecting the thinking of The Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics. This document details the planning and response for each of ten lessons involving symmetry motions. The problems focused on (1) combining motions in a given order,…

This study reports on the results of a classroom management system designed to facilitate academic performance in elementary school children. The management system is applicable to an entire class, is operable by one teacher, is cost-free, shows improvement of the student's academic performance, and takes into account individual differences in…

This pamphlet lists five thousand current, readily available audiovisual materials in mathematics. These are grouped under eighteen subject areas: Advanced Calculus, Algebra, Arithmetic, Business, Calculus, Charts, Computers, Geometry, Limits, Logarithms, Logic, Number Theory, Probability, Soild Geometry, Slide Rule, Statistics, Topology, and…

This pamphlet offers information and advice to secondary school mathematics teachers in England. The background is set in the first three chapters, entitled "The History of Mathematics Teaching in England,""The Present Position in the Secondary School," and "The First Stages" (a brief review of elementary school…

The first of three volumes of a mathematics training course for Navy personnel, this document covers a wide range of basic mathematics. The text begins with number systems, signed numbers, fractions, decimals, and percentages and continues into algebra with exponents, polynomials, and linear equations. Early chapters were designed to give insight…