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National Council of Teachers of Mathematics, 2015
Do your students think a triangle can be constructed from any three given line segments? Do they believe that a transformation affects only the pre-image--not the whole plane? Do they understand that examples--no matter how many they find--cannot prove a conjecture but one counterexample is sufficient to disprove it? "What tasks can you…
Descriptors: Geometry, Educational Practices, Secondary School Mathematics, Pedagogical Content Knowledge

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