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Maor, Eli – Mathematics Teacher, 1977
A geometric interpretation is given to the arithmetic, geometric, and harmonic means of two positive numbers a and b, and a fourth fundamental mean, the root mean square, is introduced. Results are generalized to three dimensions, and other types of means are discussed. (DT)
Descriptors: Elementary Secondary Education, Geometric Concepts, Instruction, Mathematics Education

Iles, Kim; Wilson, Lester J. – Mathematics Teacher, 1977
This article presents a geometric construction in which the quadratic, arithmetic, geometric, and harmonic means are drawn together in a single diagram. (DT)
Descriptors: Elementary Secondary Education, Geometric Concepts, Instruction, Mathematics Education

Metz, Jim – Mathematics Teacher, 1977
An algebra problem is analyzed, and several variations are suggested for further student inquiry. Practical applications of the problem are discussed. (DT)
Descriptors: Algebra, Instruction, Mathematical Applications, Mathematics Education

Turner, Barbara – Mathematics Teacher, 1977
Geometric models are used to study numerical relationships in summation formulas. (DT)
Descriptors: Algebra, Geometric Concepts, Instruction, Mathematical Models

Lee, Kil S.; Marx, Wayne – Mathematics Teacher, 1983
Procedures to help algebra students solve problems more efficiently are discussed, using linear programing graphs. (MNS)
Descriptors: Algebra, Graphs, Mathematical Applications, Mathematics Instruction

Long, Calvin T. – Mathematics Teacher, 1983
Problems which can be solved or partially solved by the Gregory Interpolation Formula are presented. The formula is explained and applied to three problems. (MNS)
Descriptors: Mathematical Formulas, Mathematics Instruction, Number Concepts, Problem Solving

Bohland, Bob – Mathematics Teacher, 1980
Four mathematical puzzles or games appropriate for secondary students are described. (MK)
Descriptors: Educational Games, Games, Mathematics Curriculum, Mathematics Instruction

Lieske, Phillip F.; Faillace, Nicholas J. – Mathematics Teacher, 1980
A human interest account of the discovery of a mathematical formula is given. (Author/MK)
Descriptors: Discovery Processes, Mathematical Formulas, Number Concepts, Secondary Education

Inman, Don; Clyde, Donald – Mathematics Teacher, 1981
A sample mathematical application problem that can be solved with computer programing is discussed. (MP)
Descriptors: Computers, Mathematical Applications, Mathematics Education, Problem Solving

Conklin, Kenneth R. – Mathematics Teacher, 1981
A computer program that uses determinants to solve simultaneous systems of equations is presented. The purpose is to show teachers how to use topics from algebra, geometry, and programing to lead pupils to appreciate the beauty and unity of mathematics. (MP)
Descriptors: Algebra, Computer Programs, Computers, Mathematical Applications

Maletsky, Evan M., Ed.; And Others – Mathematics Teacher, 1980
Worksheets are provided for use by students in grades 8 and above when sectioning a tetrahedron. Lesson objectives include the discovery of generalizations regarding the cross-sections of a tetrahedron. (MK)
Descriptors: Activities, Generalization, Geometric Concepts, Geometry

Becker, Jerry P.; Hsi, Kathy C. – Mathematics Teacher, 1981
The history and current status of national mathematics olympiad competitions in China are discussed. Selected problems and answers from recent tests are included. (MP)
Descriptors: Answer Keys, Competition, Evaluation, Mathematics History

Foerster, Paul A. – Mathematics Teacher, 1980
Information about a student-run mathematics tournament is presented. Included are sample test questions created by students. (MP)
Descriptors: Mathematical Enrichment, Problem Sets, Secondary Education, Secondary School Mathematics

Carpenter, Thomas P.; And Others – Mathematics Teacher, 1980
Data on computer literacy from the 1977-78 National Assessment of Educational Progress (NAEP) are discussed. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).
Descriptors: Computer Oriented Programs, Evaluation, Mathematics Curriculum, Secondary Education

Gordon, Jeffry; Gordon, Berchie – Mathematics Teacher, 1979
A nine-session mathematics conference for ninth graders is described. Guidelines for preparing such a conference are suggested. (MK)
Descriptors: Attitudes, Conferences, Mathematical Enrichment, Secondary Education