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Council of teachers of mathematics (nctm) principles and standards for school mathematics (1989, 2000), and numerous other sources have promoted the use of writing in the classroom. Tennessee 3-5 grade band training page 21 introduction to nctm process standards nctm principles and standards for school mathematics (pssm. Principles and standards for school mathematics outlines the essential components of a high-quality school mathematics program it emphasizes the need for well-prepared and well-supported teachers and administrators, and it acknowledges the importance of a carefully organized system for assessing students' learning and a program's. A research companion to principles and standards for school mathematics illustrated edition by jeremy kilpatrick (author.