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Eliminating math misconceptions is difficult and merely repeating a lesson or extra practice will not help. Telling students were they are mistaken will not work either. Recognizing student misconceptions and immediately focusing on the misconception is important. Providing guiding questions using inductive reasoning is the best approach, along with the use of writing prompts which help reveal further student misconceptions.

"This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics."