The question of the advisability of incorporating discrete mathematics into the mathematics curriculum is addressed by examining the different types of courses typically offered in the first two years of college and the appropriateness of including discrete mathematics topics in these courses. The introductory section explains how the advent of…

One aim of this report is to show and emphasize that in the computational approaches to most of today's pressing and challenging scientific and technological problems, the mathematical aspects cannot and should not be considered in isolation. Following an introductory chapter, chapter 2 discusses a number of typical problems leading to…

This ex-post facto, quasi-experimental study was conducted to determine whether students taught nursing math in the classroom did better than students who did not take the nursing math course in the classroom. First-year students enrolled in the Long Beach City College Associate Degree Nursing Program were selected as the treatment sample. Thirty…

Teaching students to think mathematically or to apply mathematics to the solution of real-world problems has become a national priority. This paper explores a method of developing the basic problem-solving skills in a remedial mathematics course at the college freshman level. The first part of this paper describes some basic problem-solving skills…

This monograph aims to provide teachers of grades 7, 8, and 9 with a variety of instructional activities and strategies that identify student difficulties in computing percents and teaching the skills needed for that cluster on the mathematics part of the New Jersey High School Proficiency Test (HSPT). Sections include: (1) "Concepts"…

This book presents activities promoting children's understanding of mathematical ideas while at the same time providing the practice children need to refine their skills in mathematics. Chapter topics include: (1) numbers; (2) number facts and operations; (3) problem solving; (4) calculators; (5) fractions; (6) graphing; (7) geometry; and (8)…

During the past decade, problem solving has become a major focus of the mathematics curriculum. Many feel that in this era of increasing technology, it is important for students to learn how to approach a problem situation. This book was designed to help teachers teach problem solving. Chapter 1, "An Introduction to Problem Solving," deals with…

This is the final report for a study whose original purpose was to develop a general theory of the situational constraints imposed by the routines of everyday life on arithmetic skills. Section 1 reviews the goals laid out in the proposal in relation to what was accomplished. Section 2 is the draft of "Everyday Cognition: Its Development in…

This booklet contains the mathematics test (computation and applications) of the Wisconsin Pupil Assessment Program for grade 4. The test consists of 78 items ranging from the measurement of arithmetic skills to knowledge of basic concepts in computer science. (JN)

This document focuses on four children in a small group, solving word problems aloud. Different aspects of how children in small groups approach problems were revealed; certain characteristics of their attempts to solve problems suggest a variety of questions for further research. These pupils were part of a project that involved six groups of…

A work-scheduling model for Corrections Officers at State Correctional Institutions is described. This is a real-life model that was developed to deal with a problem of unacceptably large expenditures for overtime work by state prison guards. The problem involves more than 200 constraints and more than 800 variables. It is felt the model can be…

Models of the motion of an object through space are discussed. The material begins with the simplest view possible in which gravity is the only force examined. Discussion progresses to an examination of the drag force, which is the resistive air force of the wind. Suggestions for further improvements are made at the conclusion of the presentation.…

These modules view aspects of computer use in the problem-solving process, and introduce techniques and ideas that are applicable to other modes of problem solving. The first unit looks at algorithms, flowchart language, and problem-solving steps that apply this knowledge. The second unit describes ways in which computer iteration may be used…

The material looks at: 1) Choosing a Clinical Test; 2) Evaluation of Diagnostic Tests; 3) Multi-Disease and Multi-Test Analysis; and 4) Medical Decision Analysis. It is felt users will be able to: 1) calculate the predictive value of a positive or negative test result in model clinical situations; 2) estimate the sensitivity and specificity…