In this text, the writers have relied on the SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Chapters 5 through 10 are included in this part. Chapter topics include: (5) Recognizing Geometric Figures; (6) Place Value and Numeration; (7) Addition and…

Activities in which students make and prove conjectures and devise their own geometric axiom systems are discussed. (SD)

Examples of activities involving geometric construction are suggested for discovery-oriented instruction. (SD)

The nature of measurement, the standard measurement concepts are discussed in terms of children's preconceptions and activities for building measurement concepts through primary school instruction. A broad range of activities including counting, computation, calibration, and relating measure to size is presented. The metric system is briefly…

This textbook is third in a series of three volumes presenting a mathematics course for junior high school and six-year high schools. This volume covers college-preparatory algebra, trigonometry, and demonstrative geometry. [For Book I, see ED623224. For Book II, see ED623225.]

This description of how one high school in Wisconsin is using computer equipment and instructors to further computer knowledge and awareness among students, teachers, and adults of the community, details a two-week computer literacy unit taught to students enrolled in geometry classes. An outline of the unit is provided along with daily lesson…

This text is based on the idea that teachers of mathematics at any level will find it advantageous to be able to point to interesting, useful, and diverse applications of the mathematics they teach. The first chapter describes several graphing techniques used for displaying data and finding meaningful relationships as a result. Subsequent chapters…

Scope and content charts specifying units, topics, and time allotment are provided for grades 7 and 8. Units covered in grade 7 are sets, systems of numeration, whole numbers, positive rational numbers, geometry, and ratio, proportion, and percent. Units covered in grade 8 are sets, real numbers, ratio, proportion and percent, geometry, coordinate…

This is one of a series that is a collection of translations from the extensive Soviet literature of the past 25 years on research in the psychology of mathematics instruction. It also includes works on methods of teaching mathematics directly influenced by the psychological research. Selected papers and books considered to be of value to the…

Inversions are transformations of geometric figures, under which straight lines may be mapped to circles, and conversely. The use of such mapping allows development of a unified method of solution for many of the problems of elementary geometry, especially those concerning constructions and "pencils" of curves. This book discusses the inversion…

This is part one of a two-part SMSG mathematics text for high school students. Topics include plane geometry, real numbers, triangles and angles, congruence, construction, parallel lines, perpendicular lines, and parallelograms. The text is written in Spanish. (RH)

This is part two of a two-part SMSG mathematics text for high school students. Chapter topics include: (1) perpendicular lines and planes in space; (2) parallel lines in a plane; (3) parallel lines in space; (4) areas of polygonal regions: (5) similarity; (6) circles and spheres; (7) constructions; (8) the area of a circle and related topics; and…

Twenty-three tenth grade male students from an urban, parochial preparatory schools participated in this study, along with two male geometry teachers. On the basis of the Group Embedded Figures Test, one teacher was assigned field dependent students, and the other teacher was assigned field independent students. The field dependent class evaluated…

THIS TRANSITIONAL CURRICULUM GUIDE WAS DESIGNED TO SERVE THE FOLLOWING PURPOSES--(1) TO POINT OUT THE VARIOUS CONCEPTS, DEFINITIONS, MEANINGS, AND APPLICATIONS RELATED TO CERTAIN AREAS OF MATHEMATICS WHICH SHOULD BE THE CONTENT OF MATHEMATICS IN GRADES SEVEN AND EIGHT, (2) TO BRIDGE THE GAP BETWEEN TRANSITIONAL PROGRAMS AND MORE MODERNIZED…

The development of a diagnostic test at the Catholic University of Chile is described. The 50-item multiple choice test is used as an entrance and prerequisite test for students about to take a first university course in trigonometry and analytic geometry (MAT-111). Thirty items pertain to algebra and 20 to geometry. Each question corresponds to…