Principles and Standards for School Mathematics are guidelines produced by the National Council of Teachers of Mathematics (NCTM) in 2000, setting forth recommendations for mathematics educators. They form a national vision for preschool through twelfth grade mathematics education in the US and Canada. It is the primary model for standards-based mathematics.
The NCTM employed a consensus process that involved classroom teachers, mathematicians, and educational researchers. The resulting document sets forth a set of six principles (Equity, Curriculum, Teaching, Learning, Assessment, and Technology) that describe NCTM's recommended framework for mathematics programs, and ten general strands or standards that cut across the school mathematics curriculum. These strands are divided into mathematics content (Number and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability) and processes (Problem Solving, Reasoning and Proof, Communication, Connections, and Representation). Specific expectations for student learning are described for ranges of grades (preschool to 2, 3 to 5, 6 to 8, and 9 to 12).
Read more about Principles And Standards For School Mathematics: Origins, Six Principles, Standards, Curriculum Focal Points, Controversy
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“The principles which men give to themselves end by overwhelming their noblest intentions.”
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“If one doesn’t know one’s own country, one doesn’t have standards for foreign countries.”
—Johann Wolfgang Von Goethe (1749–1832)
“Sure, you can love your child when he or she has just brought home a report card with straight “A’s.” It’s a lot harder, though, to show the same love when teachers call you from school to tell you that your child hasn’t handed in any homework since the beginning of the term.”
—The Lions Clubs International and the Quest Nation. The Surprising Years, II, ch.3 (1985)
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
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