THIS INSTRUCTIONAL GUIDE FOR MATHEMATICS 1 OUTLINES CONTENT AND PROVIDES TEACHING SUGGESTIONS FOR A FOUNDATION COURSE FOR THE SLOW LEARNER IN THE SENIOR HIGH SCHOOL. CONSIDERATION HAS BEEN GIVEN IN THE PREPARATION OF THIS DOCUMENT TO THE STUDENT'S INTEREST LEVELS AND HIS ABILITY TO LEARN. THE GUIDE'S PURPOSE IS TO ENABLE THE STUDENTS TO UNDERSTAND…

This is an experimental 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 why study mathematics, decimal and non-decimal numeration, the…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

Behavioral objectives, each accompanied by six sample test items, for secondary school geometry are presented. Objectives were determined by surveying the most widely used secondary school geometry textbooks, and cover 14 major categories of geometry, with sections on set theory and introductory trigonometry. Answers are provided. Categories…

This project, coordinated by the Center for Innovation in Teacher Education, Indiana University, aims to improve the performance of methods instructors and teachers who supervise student teachers, to train teaching associates as methods instructors, to increase the training skills of advanced graduate students, and to increase the interdependence…

This self-study program for high-school level contains lessons on: Algebra, Powers and Roots, Geometry, and Number Series. Each of the lessons concludes with a Mastery Test to be completed by the student. (DB)

In order to assess achievement in technical drawing at the secondary school level, an experimental examination was conducted using 333 boys and 2 girls from 13 schools. The objectives of the course in order of importance were: (1) Understanding and Comprehension; (2) Use; and (3) Communication. Three papers were formed: Paper I, an objective…

Abstracts of 36 research reports are provided. The reports were prepared by investigators for presentation at the 55th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education is covered. Nine reports deal with problem solving, eight are concerned with instructional methods, five…

Presents examples to show the ubiquitous nature of geometry. Illustrates the relationship between the perimeter and area of two-dimensional objects and between the area and volume of three-dimensional objects. Provides examples of distribution systems, optimum shapes, structural strength, biological heat engines, man's size, and reflection and…

Reports the third and seventh-grade results of the fourth mathematics assessment of the National Assessment of Educational Progress. Addresses student performance on measurement, geometry, data organization and interpretation, variables and relations, and attitudes. (PK)

Suggests a lesson which enables students to practice estimating the measures of angles and to become proficient in using both a protractor and a ruler. (PK)

Describes pseudoprimitives, a set of special procedures which allow traditional geometric topics to be used within the context of LOGO. Explains how these procedures can be extended and used in junior and senior high school geometry. (PK)

Presents five puzzles or problems that may be used for mathematics enrichment. Ideas include magic squares, tests for divisibility, geometry, palindromic numbers, and a jigsaw puzzle. Solutions are included. (PK)

Presents activities where students visualize three dimensional figures, construct tables, discover patterns in the tables, and use the patterns to make predictions. (PK)

Discussed contributions to the field of astronomy made by ancient Egyptians. Provides examples of how some of the observations made were applied to science. The use of geometry is illustrated by several calculations of celestial alignment. (TW)