**ERIC Number:**ED334084

**Record Type:**RIE

**Publication Date:**1990

**Pages:**239

**Abstractor:**N/A

**Reference Count:**N/A

**ISBN:**ISBN-0-309-04234-8

**ISSN:**N/A

On the Shoulders of Giants: New Approaches to Numeracy.

Steen, Lynn Arthur, Ed.

Forces created by the proliferation of computer hardware and software, by innovative methods of mathematical modelling and applications, by broader demographic considerations, and by schools themselves are profoundly changing the way mathematics is practiced, the way mathematics is taught, and the way mathematics is learned. In this volume, a vision of the richness of mathematics is expressed and illustrated as five different possible strands of school mathematics through the expansion on the theme of mathematics as the language and science of patterns with emphases on interconnections and communalities. Included are: (1) an introduction to the five sample strands with examples of the continuity underlying the fundamentals of mathematics, of the mathematical connections that both unite and repeat, and of the mathematical perspective necessary to view both the variety and the regularity of patterns; (2) the Dimension strand, which focuses on the development of relationships between the different dimensions with emphasis on three-dimensional topics; (3) the Quantity strand, which provides insights into the three basic tasks of measuring, ordering, and coding with attendant symbologies and procedures; (4) the Uncertainty strand, which develops ideas about the natural themes and strategies within the twin concepts of data and chance; (5) the Shape strand, which uses classification to discover similarities and differences among objects, analysis to discern the components of form, and representation to recognize and comprehend shapes within different contexts; and (6) the Change strand, which advocates imaginative and sensitive responses to the constantly emerging new types of patterns, including patterns of thinking about nature, as well as mathematics. (31 references) (JJK)

Descriptors: Calculators, Computer Assisted Instruction, Curriculum Development, Curriculum Enrichment, Educational Change, Educational Improvement, Educational Innovation, Elementary School Mathematics, Elementary Secondary Education, Geometric Concepts, Mathematical Concepts, Mathematical Enrichment, Mathematics Curriculum, Mathematics Education, Mathematics Instruction, Patterns in Mathematics, Secondary School Mathematics

National Academy Press, 2101 Constitution Ave., N.W., Washington, DC 20418 ($17.95 U.S.; $21.75 export).

**Publication Type:**Books; Guides - Classroom - Teacher

**Education Level:**N/A

**Audience:**Policymakers; Practitioners; Researchers

**Language:**English

**Sponsor:**Andrew W. Mellon Foundation, New York, NY.; Carnegie Corp. of New York, NY.

**Authoring Institution:**National Academy of Sciences - National Research Council, Washington, DC. Mathematical Sciences Education Board.

**Identifiers:**Mathematical Thinking; Numeracy