The information in this supplementary notebook is intended to provide teachers with additional materials, ideas and suggestions, and activities to help in implementing the first 21 units of the Applied Mathematics modules that help develop and refine job-related mathematics skills. An introduction lists the 36 units of the complete Applied…

This material was produced by a task force of the National Council of Teachers of Mathematics to provide independent study projects for use in grades four through six. The major goals are as follows: (1) to encourage student research, investigation, and communication of mathematics through reporting and writing; (2) to provide activities that are…

This handbook is intended to contribute to the development of a theory of remedial instruction that can be easily understood and assimilated by teachers. The document evolved from research and workshop activity over a period of several years. It is designed for use by those with instructional or supervisory reponsibilities in elementary schools,…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part two of the second-year course, designed for tenth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in…

This book contains 15 chapters: (1) "Teaching Problem Solving"; (2) "Using Calculators and Computers in Elementary School Mathematics"; (3) "Organizing for Instruction"; (4) "Teaching Numeration of Whole Numbers"; (5) "Teaching Numeration of Common and Decimal Fractions"; (6) "Teaching Addition and Subtraction of Whole Numbers"; (7) "Teaching…

This pamphlet reprints three papers and an invited discussion of them, read at a Division 5 Symposium at the 1975 American Psychological Association Convention. The first paper describes a Bayesian tailored testing process and shows how it demonstrates the importance of using test items with high discrimination, low guessing probability, and a…

This is part two of a two-part School Mathematics Study Group (SMSG) textbook. The text serves as a means to prepare teachers to teach the SMSG text "Mathematics for Junior High School." The eight chapters found in part two are: (1) Primes and Factors; (2) Decimals, Ratios, and Percents; (3) The Real Number System; (4) Non-Metric…

To examine the economic efficiency of initial military specialty training, procedures were tested for estimating the effects of that training on posttraining job performance. The approach chosen was an application of human capital theory in which the costs of on-the-job training and the returns to training are measured by comparing the trainee's…

A student's choice of an answer to a test question is a coarse measure of his knowledge about the subject matter of the question. Much finer measurement might be achieved if the student were asked to estimate, for each possible answer, the probability that it is the correct one. Such a procedure could yield two classes of benefits: (a) students…

A number of hypotheses derived from sociological theory and from previous research concerning the potential collaboration of citizens of the United States and Mexico were tested. Included in the samples were 1,528 interviews from the United States general public; 306 interviews from rural persons residing in places of 2,500 or less in Michigan;…

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

Described is an introductory probability and statistics class focused on teaching the concepts of sampling and binomial distributions through a strategy based on teacher and student generated simulation using the Boxer computer language. The value of integrating programing with teaching subject matter is demonstrated, and sample student work is…

This document is designed to assist teachers by providing practical examples of real world applications of high school mathematics. Fifteen problems are presented that individuals in industry and business solve using mathematics. Each problem provides the contributor's name, suggested skills required to solve the problem, background information…

Project MAP (Model Accounting Plan) is designed to test a demographic system for monitoring the within-school and post-school transitions of special education participants. Implemented at the local level, this system produces data to inform school-level decision-making. In addition, the data that are produced can be aggregated for use at higher…

High personnel loss rates among recruits who have signed up for the Army's Delayed Entry Program (DEP) are becoming an increasing problem for DEP program managers. Therefore, a research project was conducted to examine DEP loss as a function of sociodemography and policy variables at the microdata level. Two DEP loss models were created. The first…