This document outlines part two of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…

Sixty-five Year 2 children with ages ranging from six to seven years participated in a teaching experiment to introduce functional thinking. The results show that young children are capable of generalising, can provide examples of relations and functions, can describe the inverse of such relationships and give valid reasons for how they found the…

This document consists of two modules. The first of these views applications of algebra and elementary calculus to curve fitting. The user is provided with information on how to: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; 3) understand the underlying theory of least squares; 4) use a computer program to…

Problems were presented to 13 university students in which letters were to be added or subtracted (e.g., B + D = ? or F - ? = D). After each problem, each subject gave a retrospective protocol indicating the way in which the problem was solved. Models of performance by each subject in each experimental session shared major properties; choices by…

Minorities have for some time been underrepresented in the technical fields, such as engineering and computer science. This development is known to be caused by a variety of factors, but the primary purpose of this report is to help identify those factors that adversely affect the cognitive development of the technical bilingual student in terms…

This item bank was compiled by the Australian Council for Educational Research (ACER) to help teachers at the secondary school level construct objective tests in mathematics. The multiple-choice items were written by teachers who attended ACER writing workshops. The questions are classified according to their subject content and the cognitive…

This book is designed to assist the teacher in providing children with creative learning experiences in mathematics. Though these experiences are considered appropriate for a wide range of ages and grade levels, they have been assembled for pupils in grades 5 through 9. The material contained in this book was developed as part of an extensive…

This teacher-prepared Learning Activity Package (LAP) for individualized instruction in topics in pre-algebra covers the natural numbers, whole numbers, and integers. The unit contains a rationale for the material, a list of behavioral objectives, a list of resources including texts (with reading assignments and problem sets specified) and tape…

A computer-assisted instruction (CAI) curriculum development project is being carried out by the Commonwealth CAI Consortium. Financed by an Elementary Secondary Education Act Title III grant, the project seeks to develop a CAI curriculum in general mathematics and algebra for use in the ninth grades of urban schools. Ninth grade teachers and…

The guide is arranged in vertical columns relating algebra curriculum concepts to curriculum performance objectives, career concepts and career performance objectives, suggested teaching methods, and resource materials. Career information on a variety of occupations includes comments on what a person in the occupation does, the level of education…

This NSF-sponsored conference on the teaching of mathematics at the junior high level involved mathematics teachers and teachers of the natural and social sciences. Papers written for the conference form the bulk of this report. Summaries of the papers and general discussions are organized into shorter reports to give some guidelines which could…

The computer-assisted instruction program at Tennessee State University in cooperation with the Institute for Mathematical Studies in the Social Sciences at Stanford University during the spring and summer of 1972 is described in this report. Four courses in Basic English, Algebra, Computer Programing, and Symbolic Logic are described. Amount of…

A set of ten teacher-prepared Learning Activity Packages (LAPs) for individualized instruction in topics in pre-algebra, the units cover the decimal numeration system; number theory; fractions and decimals; ratio, proportion, and percent; sets; properties of operations; rational numbers; real numbers; open expressions; and open rational…

A set of ten teacher-prepared Learning Activity Packages (LAPs) in beginning algebra and nine in intermediate algebra, these units cover sets, properties of operations, number systems, open expressions, solution sets of equations and inequalities in one and two variables, exponents, factoring and polynomials, relations and functions, radicals,…

This fifth unit in the SMSG junior high mathematics series is a student text covering the following topics: rational numbers and coordinates; equations; scientific notation, decimals, and the metric system; constructions, congruent triangles, and the Pythagorean property; relative error; and real numbers. (DT)