Chapter 3: “These examples show how the continuity and the power principle make Turtle geometry learnable. But we wanted it to do something else as well, to open intellectual doors, preferable to be a carrier of important, powerful ideas. …” (p. 63).
Heuristics can aid the learning of complex concepts. The process though which students use Turtle geometry to learn complex concepts and debug their program and their thinking helps them develop reflective and metacognitive skills.
Chapter 4: The centipede story, p. 95. The centipede story brings to light the importance of learning to debug not only one’s programs, but one’s thinking as well. The metacognitive processes of reflective thinking should not be a stumbling block, but an empowering tool through which one can access and make sense of complex and powerful ideas.
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