Data structures and algorithms are core issues in computer programming. However, learning them is challenging for most students and many of them have various types of misconceptions on how algorithms work. In this study, we discuss the problem of identifying misconceptions on the principles of how algorithms work. Our context is algorithm…

The problem of fitting a surge function to a set of data such as that for a drug response curve is considered. A variety of different techniques are applied, including using some fundamental ideas from calculus, the use of a CAS package, and the use of Excel's regression features for fitting a multivariate linear function to a set of transformed…

This book explores teaching techniques and adaptations that have proven effective in teaching mathematics concepts and skills to students with learning disabilities, with a focus on reasoning methods rather than algorithmic calculation. Emphasis is placed on topics that potentially can or commonly do cause the most difficulty for students with…

This paper describes preliminary analyses of data from an ongoing project entitled "Connecting In-School and Out-of-School Mathematics Practice." During this project the authors are: (1) investigating how middle school students use mathematics concepts and processes in a variety of out-of-school situations, and (2) working with middle…

This study investigated the development of students' abilities to see connections between algebraic equations and life-situated relationships during an extended problem solving experience. The design problem required students to analyze some aspect of their socio-physical environment for cause and effect and to generate a dynamic model using the…

This guide contains 15 lesson plans on financial topics for high school students. The lessons cover the following: (1) securities in the U.S. economy; (2) careers in finance; (3) commercial banking interest rates; (4) understanding financial statements; (5) newspaper stock tables; (6) financial institution operations; (7) foundation…

This curriculum guide, developed by an adult basic education program for disadvantaged women, provides methods for teaching mathematical concepts and operations including whole numbers, fractions, decimals, and percents. The curriculum illustrates methods and activities that bridge the gap between numerals (the symbols of mathematical…

This Australian document is a guide to teaching mathematics as it relates to specific work situations. After a brief introduction, chapter 1 looks at problem solving, advises teachers to lower the reading level and thus raise the understandability of written math problems, and describes a four-step problem-solving process. Chapter 2 outlines a…

This document offers instructional materials for a 60-hour course on basic math operations involving decimals, fractions, and proportions as applied in the workplace. The course, part of a workplace literacy project developed by Mercer County Community College (New Jersey) and its partners, contains the following: course outline; 17 lesson…

This study focuses on possible factors which contributed to the low mathematics scores achieved by Florida's 11th graders on the 1977 Functional Literacy Test. The authors developed preliminary hypotheses to explain the low scores based upon professional conjecture, analyses of test items, and examination of item data from the October 1977 test…

A checkbook learning activity which is adaptable to all grades, ages, and subject areas is described. The four reasons given for using checks in the classroom are to provide practice for students in computational skills, to increase student motivation, to provide real-world experience, and to replace the teacher's grading system. The following…

This book, designed for a college course on general problem-solving skills, focuses on skills that can be used by anyone in solving problems that occur in everyday life. Part I considers theory and practice: understanding problems, search, and protocol analysis. Part II discusses memory and knowledge acquisition: the structure of human memory,…

The National Council of Teachers of Mathematics has stated that computer technology is an important factor in the improvement of mathematics instruction and an important tool in mathematics instruction. Computer spreadsheets are readily adaptable for problem solving, can enhance the user's insight into the development and use of algorithms and…

Students who have the necessary computational skills can solve word problems in mathematics only if they can comprehend the language of the problem. In order to best teach reading comprehension of mathematical word problems, teachers should consider the following steps: (1) prepare for teaching a problem by analyzing the ways the problem can be…

This is a series of research projects that can be used for enrichment of the high school mathematics curriculum. It is suggested that the topics are either not found in the standard curriculum or represent a more indepth study of standard topics. The areas considered are: applications of the microcomputer in mathematics; the fourth dimension and…