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…

This document states the educational goals for Algebra 1 and Geometry in Arkansas' Learning Standards which are defined in the Arkansas Curriculum Framework. The five goals listed for Algebra 1 include Language of Algebra; Solve Equations and Inequalities; Graphs and Tables With and Without Graphing Calculators; Functions, Relations, and Patterns;…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

This book contains articles that help to further the process of reform in the middle grades, recognizing that the knowledge acquired during these years greatly affects how well the secondary school curriculum will attain its goals. Critical issues facing middle grade classes in particular and all mathematics classrooms in general are discussed.…

This standards document begins with a brief introduction and overview outlining and explaining a vision for mathematics teaching and learning in South Dakota, the purpose of the document, and the structure/organization of the document. Goals, rationales, and indicators for South Dakota Mathematics are also listed along with the South Dakota…

The standards, benchmarks, and indicators in this document were created to help Kansas educators develop local curricula and assessments, and to serve as the basis for the state assessments in mathematics. The committee strove to recommend high yet reasonable expectations for all students. There are four mathematics curricular standards: (1)…

Geometry is viewed as the most neglected area of the elementary school mathematics curriculum. Tangram activities provide numerous worthwhile mathematical experiences for children. A method of constructing tangrams through paper folding is followed by suggested spatial visualization, measurement, and additional activities. (MP)

The rebirth of geometry is predicted in the coming years as the pendulum swings back from extreme devotion to structure, abstraction, and generality. (MP)

The status and nature of geometry as presently taught in English secondary schools is examined. An almost total absence of deductive geometry was found, with many topics such as topology, vectors, coordinates, and transformations introduced but not covered in depth. (MP)

This study tested the relative efficacy of two modes of instruction, individual and traditional, for promoting learning and retention of selected geometrical concepts. The results of the study did not indicate a significant effect on learning or retention due to the mode of instruction. (Author/MK)

The NCTM delegation's visit to the People's Republic of China in the fall of 1977 is described. Mathematics education in China is presented in terms of mathematical content taught. (MK)

This annotated bibliography includes activities with calculators in the areas of computational skills, geometry, measurement, number pattern recognition, and probability. (MK)