NCTM Mathematics
Curriculum Standards for Life Cycle of Stars
Standard
2: Mathematics as Communication
In grades 912, the mathematics
curriculum should include the continued development of language and symbolism
to communicate mathematical ideas so that all students can:
1) Reflect upon and clarify
their thinking about mathematical ideas and relationships.
2) formulate mathematical definitions and express generalizations
discovered through investigations
3) express mathematical ideas orally and in writing.
4) read written presentations of mathematics with understanding
5) appreciate the economy, power, and elegance of mathematical notation
and its role in the development of mathematical ideas
Standard 3: Mathematics as Reasoning
In grades 912, the mathematics curriculum should include numerous and
varied experiences that reinforce and extend logical reasoning skills
so that all students can:
1) make and test conjectures
2) formulate counterexamples
3) follow logical arguments
4) judge the validity of arguments
5) construct simple valid arguments
and so that, in addition, college intending students can:
1) construct proofs for mathematical assertions, including indirect
proof and proof by mathematical induction
