
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...

Do your students think that the vertical line test is indispensable and foolproof for determining whether a relationship is a function? Do they believe that every function can be modeled by an equation? Do they interpret the graph of a function as the function itself? What tasks...