Teaching Practicesfor the 21st Century
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Whether you work with Common Core Standards, or your own state standards, students are being required to communicate mathematical ideas using appropriate language to justify and defend mathematical solutions. Some of the "tips and tricks" we have taught in elementary mathematics are now coming back to bite us because the "tips and tricks" are not rooted in sound mathematical practices or concepts. We must be so very careful teaching absolute truths in elementary math.
How many of us ask students to solve a problem and then stop when the student produces a correct answer? Give students a good rich task but don’t ask how they arrived at the answer or how they know it is correct? This is where reasoning and proof comes in.