NCTM Mathematics
Curriculum Standards for Searching for New Planets
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
