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Holt, Michael – Mathematics in School, 1975
This brief biography of Riemann is one of a series of biographical sketches in this journal. Riemann was born in Germany in 1826 and studied with Gauss among others. His numerous contributions to mathematics include the invention of a non-euclidean geometry and the founding of topology. (SD)
Descriptors: Bibliographies, Geometry, History, Mathematical Enrichment

Holt, Michael – Mathematics in School, 1973
Suggestions for what and how to teach topological ideas are presented. (DT)
Descriptors: Elementary School Mathematics, Geometric Concepts, Instruction, Mathematics Education

Hayter, R. J. – Mathematics in School, 1977
The origin and evolution of the four-color problem are traced and the proof of the problem is outlined. (DT)
Descriptors: Higher Education, Instruction, Mathematics, Mathematics Education

Holt, Michael – Mathematics in School, 1972
Descriptors: Biographies, History, Mathematicians, Mathematics

Cole, J. P. – Mathematics in School, 1973
Descriptors: Diagrams, Geographic Concepts, Geography, Geometric Concepts

Zeeman, E. C. – Mathematics in School, 1972
Descriptors: Cognitive Processes, Creative Thinking, Logical Thinking, Mathematical Applications

Griffiths, H. B. – Mathematics in School, 1972
The author contrasts the tendency of mathematics to refine its internal structure with the tendency of society to become more open and sees the chief task of Mathematical Education as developing curricula which will reconcile the two tendencies. (MM)
Descriptors: Bachelors Degrees, Curriculum Development, Educational Objectives, Mathematical Models

McLeay, Heather – Mathematics in School, 1991
Described is a way to use knots to relate a three-dimensional object to a two-dimensional representation of the object. The results are used to produce an algorithm or rule to explain a general case. Included are examples, diagrams, procedures, and explanations. (KR)
Descriptors: Algorithms, Instructional Materials, Learning Activities, Manipulative Materials