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The role of teachers in teaching critical thinking is debated- see Daniel Willingham’s piece What is critical and creative thinking in the math classroom? I am starting from the presumption that all kids are capable of critical and creative thinking.My second presumption is that mathematical knowledge and skill gained as children grow older allows them to think creatively and critically.
Further compounding the problem, critical and creative thinking are, at best, ill-defined.
Obviously, this is not helpful – if the math processes are the actions of doing math, it makes sense then that these actions will, at times, encompass critical and creative thinking.
The standards-based Spectrum Critical Thinking for Math for second grade guides children through problem-solving strategies including: Spectrum Critical Thinking for Math helps children apply classroom math skills to real-world scenarios.