This document looks at specific applications of calculus to engineering. It is noted that for an automobile traveling at constant speed, the mathematical relationship between the directional heading and the angular deflection of the steering wheel can be calculated with respect to time. An analysis is presented which derives the relationship from…

It is noted that compared to the research base on effective practices for teaching primary level children, the volume of published research with intermediate level students is modest. The studies and summaries reviewed for this document include those which: (1) sought to identify a cluster of teaching strategies and behaviors which are positively…

This student manual and workbook is the second part of a mathematics series for use with high school students. The manual is to be used to apply the mathematics skills that students have learned in a first part called "Developing Basic Math Skills for Marketing." The manual presents conceptual instruction in mathematics in a competency based…

Designed to help parents teach their children some of the basic skills of mathematics, this guide provides numerous mathematics activities and suggests children's books that combine both mathematics and reading skills. It is felt that mathematics has a part in any occupation or hobby, and parents have a great deal of impact on children's mastery…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers the multiplication and division of common fractions and whole and mixed numbers. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers compound numbers. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with directions for module completion; information…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers computation of areas of plane figures and volumes of solid figures. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with…

Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for eleventh-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to educational…

Much valuable information can be gained by analyzing the students' wrong responses. When a student answers a free response item she/he gives the response which she/he considers to be the correct one. Therefore, diagnosing the algorithm that led the student to his/her answer provides an important source of information for assessing his/her…

This 1981 yearbook of the National Council of Teachers of Mathematics (NCTM) offers classroom ideas for teaching statistics and probability, viewed as important topics in the school mathematics curriculum. Statistics and probability are seen as appropriate because they: (1) provide meaningful applications of mathematics at all levels; (2) provide…

This book is the teacher's manual to a text designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. It is a manual of suggested teaching strategies and additional materials aimed at compensating for past student failures to understand mathematical concepts. This book, S, is…

This study investigated the effects of a series of mathematics lessons which were designed to encourage a spatial mode of thinking. Using fifth-grade students from four intact classrooms, a pretest and posttest battery composed of spatial tests, reasoning tests, and a problem-solving test, were administered to the experimental and two control…

THIS GUIDE EXPLAINS HOW A COMPUTER MIGHT BE USED IN MATHEMATICS EDUCATION IN CONJUNCTION WITH THE REGULAR COURSE OF STUDY. STARTING WITH THE PREMISE THAT A CHILD WHO LEARNS TO OPERATE A COMPUTER IS LED BY HIS NEW SELF ESTEEM TOWARD A GREATER INTEREST IN HIS COURSES, THE AUTHORS STATE THAT COMPUTER EDUCATION WILL ALSO MEET THESE OBJECTIVES--(1)…

A review of research literature revealed that some researchers felt that the use of colored rods, such as the Cuisenaire materials, in teaching number work gave perceptual support to many relationships. Experiments conducted over 3 years attempted to test some of these relationships. During each year, experimental classes in grade one were…

This final report summarizes research findings and presents a model for generative computer assisted instruction (CAI) with respect to its usefulness in the classroom environment. Methods used to individualize instruction, and the evolution of a procedure used to select a concept for presentation to a student with the generative CAI system are…