This document is an instructional module package prepared in objective form for use by an instructor familiar with mathematics as applied to water and wastewater plant operation. Included are objectives, instructor guides, and student handouts. This module is the second of a three level series and addresses ratio and proportions, graphs, total…

Subjects were randomly assigned to two methods of instruction for a unit on quadratic inequalities. It was expected that spatial visualization scores would predict transfer from the analytic approach while general reasoning would predict transfer from the graphical approach. No interaction was found. (Author/SD)

Presented are a series of conjectures and proofs resulting from an examination of patterns and relationships among natural numbers. (JP)

In 1981 a nationwide assessment of achievement in writing geometry proofs was conducted by the Cognitive Development and Achievement in Secondary School Geometry project. Over 1,500 students in 11 schools in 5 states participated. This paper describes the sample, instruments, grading procedures, and selected results. Results include: (1) at the…

This document is designed to aid students who wish to comprehend the algebraic problem-solving process for mixture problems. The instruction set was designed to be low stress, patiently delivered, and easy to follow. It was set up to be accompanied by a 25-minute audio cassette tape. The content of this document and the tape is directed to the…

A survey of ninth-grade student placement policies in Michigan secondary schools was conducted. Two central questions were: (1) Who makes the placement decision; and (2) What are the most frequently used criteria in making that decision? Two-hundred Michigan secondary schools were selected at random and questionnaires were sent to chairpersons of…

The development of a theory of algebraic problem solving is discussed. The domain of the investigation is restricted to single sentence word problems. There were three experiments, the first involving 42 college students from the University of California, Santa Barbara. These subjects were divided into two groups, half in an equation group and…

These 14 research reports are grouped into three broad categories based on the Piagetian level concerned. The articles concerning preoperational concepts focus on problems such as: (1) finding an appropriate mathematical description of some of the primitive mathematical concepts; (2) the role of "activities" in early concept acquisition;…

This book is designed for teachers in elementary and middle schools who need explanations of problems and questions concerning the metric system and a source of classroom activities to aid in teaching the metric system. The book is divided into three parts. The first part is a primer of information designed to help a teacher in answering the many…

This is part one of a two-part SMSG text for grade seven students whose mathematical talents are underdeveloped. The reading level of this text has been adjusted downward, chapters shortened, and additional concrete examples included. Nevertheless, the authors warn that the text may not be appropriate for the very slow non-college-bound student.…

This is volume one of a two-volume manual for teachers using SMSG text materials for students in grades 7 and 8 whose mathematical talents are underdeveloped. The overall purpose for each of the chapters is described and the mathematical development detailed. Background information for key concepts, answers for all exercises in each chapter, and…

Humorous imitations of famous poems and quotations, altered with metric language, are presented in this document published by the Winston-Salem/Forsyth County Schools Metric Education Project. In addition, a section entitled "A Metrikey" relates metric units to familiar items such as width of doorknobs, areas of typewriter keys, etc. (MP)

These materials were developed for in-service workshops for K-8 teachers as part of the Winston-Salem/Forsyth County Metric Education Project. A teacher (or team of two) from each school was trained in a series of six 3-hour sessions using hands-on measurement activities. Teachers in turn were responsible for conducting 10 1-hour in-service…

The message of this article is that there are many types of problems ordinarily requiring advanced techniques or special insight to solve which can now be done as simple programming exercises on inexpensive programmable calculators. Several examples appropriate for the secondary school curriculum are given. These are: (1) evaluating polynomials;…

This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include number line and coordinates, equations, scientific notation,…