Students often ask why they are being required to learn proofs, and most of the time, it is difficult to quickly articulate the "why" behind two-column proofs. Certainly, these are not the way that mathematicians write proofs, and more certainly, most students will never have to look at a two-column proof (or any mathematical proof for that matter) after they leave your classroom. So why do they have to learn them?!
There was an article written on this very subject that I would have my students read, and I created a worksheet that went along with the article to have students independently think through the question of why they have to learn proofs. The questions on the worksheet go along with the reading, which I have also included.
This is a great lesson for:
--at the beginning of a proofs unit
--once you are getting the "why do I have to learn this" questions
--an emergency sub plan for your geometry students
--an extra credit assignment.
--worksheet with questions that cause students to think critically about the article
--the article with the paragraphs marked (the reading references the paragraphs by letters, so this copy has the paragraphs marked for you)
--a clean copy of the article
Having trouble answering the question, "Why do we have to learn proofs?" Then this resource will help you and your students to appreciate why they are learning two-column proofs and how this type of thinking will help them moving forward.
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