This paper considers the possibilities of using computers not only to amplify, but to reorganize children's thinking and mental functioning. These two different conceptualizations of the transformational role of noncomputer cognitive technologies (such as written language) in human intelligence and cognitive change are sketched, and the different…

The Helping Hands Project (HHP) is a program that aims at improving achievement in reading comprehension and in math problem-solving by helping the classroom teacher sustain instructional intensity. Implemented in grades four and six in two Newark School District elementary schools, HHP involved five teachers and 117 students. Ninety-two percent…

A discussion of the relationship between second language proficiency and mathematics performance argues that the learning of a second language and mathematics can be effectively integrated. The conditions conducive to second language acquisition in mathematics contexts, the communicative competence needed for mathematics, and the link between…

This report summarizes a five-volume research report on the classroom use and impact of ThinkAbout, an instructional television series designed to strengthen the reasoning skills of fifth and sixth graders and to review and reinforce language arts, mathematics, and study skills. It describes results of a 1979-80 research study which used three…

Three case studies describe and analyze the events occurring in three classrooms in the St. Louis metropolitan area during the first year (1979-1980) of the use of ThinkAbout, a series of 60 15-minute programs designed to strengthen the reasoning skills of fifth and sixth graders, and to review and reinforce language arts, mathematics, and study…

Designed to improve students' thinking, learning, and creative skills while they learn to program a microcomputer in BASIC programing language, this instructional manual for intermediate learners provides a brief section of information for each new topic together with a sample program to enter, run on the computer, and observe; a suggested change…

Designed to improve students' thinking, learning, and creative skills while they learn to program a microcomputer in BASIC programing language, this book for intermediate learners at the junior high level provides a variety of microcomputer activities designed to extend the concepts learned in the accompanying instructional manuals (Volumes 3 and…

This report illustrates a network of procedures which can be used to solve problems involving the addition and subtraction of fractions. This network, which is based on a skills hierarchy, is used to classify seven levels of student competency. The determination of student competency depends upon the careful construction of error-diagnostic tests.…

One of five volumes intended to help teachers of mainstreamed handicapped students, the book presents twelve papers on teaching mathematics. Eight papers address instructional techniques for basic skills and problem solving: "Modalities--One Technique to Mainstream in Mathematics Instruction" (G. Rossi); "Computation Errors--Are We Treating A…

This unit introduces analytic solutions of ordinary differential equations. The objective is to enable the student to decide whether a given function solves a given differential equation. Examples of problems from biology and chemistry are covered. Problem sets, quizzes, and a model exam are included, and answers to all items are provided. The…

This document explores two methods of obtaining numbers that are approximations of certain definite integrals. The methods covered are the Trapezoidal Rule and Romberg's method. Since the formulas used involve considerable calculation, a computer is normally used. Some of the problems and pitfalls of computer implementation, such as roundoff…

It is noted that there are some integrals which cannot be evaluated by determining an antiderivative, and these integrals must be subjected to other techniques. Numerical integration is one such method; it provides a sum that is an approximate value for some integral types. This module's purpose is to introduce methods of numerical integration and…

This document was developed out of a need for a complete, carefully designed set of evaluation instruments and procedures that might be applied in metric inservice programs across the nation. Components of this package were prepared in such a way as to permit local adaptation to the evaluation of a broad spectrum of metric education activities.…

Fourteen research reports related to mathematics education are abstracted and analyzed. Two of the reports concern studies funded by the National Science Foundation to provide an assessment of the status of science education; three deal with teaching methods, three with conditional reasoning, two with problem solving, two with intellectual…

VARIOUS WAYS WERE EXPLORED BY WHICH PRIOR OR PREREQUISITE LEARNING AFFECTS THE LEARNING OF HIGHER ORDER (CRITERION) MATERIAL WHICH BUILDS ON PREVIOUS EDUCATIONAL FOUNDATIONS. THE INVESTIGATION WAS CONCERNED WITH THREE INSTRUCTIONAL VARIABLES (PACING, PRACTICE, AND NUMBER OF STAGES IN A LEARNING HIERARCHY) AND THEIR EFFECTS ON LEARNING RETENTION…