This manual provides guidelines for implementing the instructional program in mathematics prescribed for the Basic Skills Project of the Phoenix, Arizona, Union High School District. The project supplements instructional efforts for students whose basic skills in reading, English/writing, and mathematics are in greatest need of improvement. The…

This document describes how to teach a computer to add numbers using the LOGO programing language. The programing project is described in the way a student might develop it. The model of developing the program uses humans as an anthropomorphic model for the computer, and the computer as a model for people. The document has an unorthodox style, as…

Activities originally designed to teach third-grade students about measuring liquids are presented. Included in the document are reasons to teach students how to use the basic units of liquid measurement and the development of a "laboratory" within the classroom where pupils could work while minimizing the mess. Some of the topics developed for…

The results of one of the earliest studies in a series of investigations on teachers' selection of content for mathematics instruction suggested that teachers are responsive to content messages that are communicated through textbooks and standardizes tests. The content analyses that are summarized in this report were therefore undertaken in an…

This guide provides material for teaching problems with rate and ratio calculations. There has been a traditional and worsening shortfall of student performance on rate and ratio problems which do not apply to other components of the mathematics program. The major problems found with traditional curriculum approaches are: (1) rate and ratio…

This document presents six chapters on four-dimensional geometry, whose titles are: (1) A Brief History; (2) What Is Four-Dimensional Geometry?; (3) Selected Drawings and Models; (4) How to Study the Configurations; (5) Selected Topics; and (6) Applications. The text, suitable for students in advanced levels of secondary school mathematics,…

This guide was developed to give Kansas mathematics teachers from grades K-12 minimal sequential experiences in implementing the skills, values, and concepts of the mathematics program, and to provide a basic outline for developing a local program. All teachers are encouraged to make a real effort to see that their activities fit into the overall…

This student textbook is designed to incorporate programable calculators in grade 11 mathematics. The eight chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Exponents and Logarithms; (3) Trigonometry of the Right Triangle; (4) Trigonometry Beyong the Right Triangle; (5) Graphs of the Trigonometric Functions and…

This math workbook in the Navajo language contains vocabulary designed to introduce a few pre-mathematical concepts to the child before she is presented with mathematical concepts in a classroom situation. The terms "least,""most,""many," and "few" are introduced. Initially, each concept is introduced individually. Later on, different concepts are…

This training manual is designed to introduce and assist naval personnel in the conversion from the English system of measurement to the metric system of measurement. The book tells what the "move to metrics" is all about, and details why the change to the metric system is necessary. Individual chapters are devoted to how the metric system will…

TO STUDY WHICH OF SEVERAL CONDITIONS PROMOTES EFFICIENT CONCEPT LEARNING, AN EXPERIMENT INVOLVING 2 CONDITIONS, METHOD OF PRESENTATION OF STIMULI AND RATIO OF POSITIVE TO NEGATIVE STIMULI, WAS ADMINISTERED TO 80 SECOND-GRADE CHILDREN. THE CHILDREN WERE DIVIDED INTO 8 TREATMENT GROUPS. THESE 8 GROUPS WERE FORMED BY VARYING THE 2 METHODS OF…

Presented is a review of linguistic research on children's acquisition of more/less, same/different, big/little, long/short, and similar relational and dimensional terms. The review illustrates that children's meanings for words differ from adult meanings. The nature and findings of several research projects are discussed and it is concluded that…

This book is intended to make second-grade mathematical concepts both interesting and easy to understand. The text is designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. The reading level required of pupils has been reduced. Individual chapter titles are: Geometry 1;…

The intent of this text is to provide students in a variety of science and technology disciplines with a basic understanding of mathematics commonly used in introductory texts in such disciplines. The first five chapters develop skills needed for efficient numerical calculation. The last five chapters examine the basic properties of elementary…

This working paper is a product of a graduate research seminar in mathematics education at the University of Wisconsin. Chapter I contains the rationale for re-examining fractions. The discussion centers around the different interpretations of fractions in view of the use of hand-held calculators and the metric system. In Chapter II a logical,…