Problem-Solving Strategy #4: Draw a Picture

The upper-school mathematics curriculum tends to drill down to analytic techniques and visualization is put to the side. Visual thinking can unlock deep insight!  Read more about this strategy here: Problem Solving Strategy Essay #4: Draw a Picture Find other problem-solving strategies you can use on the MAA American Mathematics Competitions and other competitions here.

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Problem-Solving Strategy #3 Engage in Wishful Thinking

If there is something in life you want, make it happen! (And be then willing to handle the consequences of your actions with care and grace!) If there is an equation you wish to solve but wish there were a "+4" on the left ... make it happen! Add a 4 to the left, with...

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Problem-Solving Strategy #2: Do Something

Innovation in research and business is not an easy pursuit. Many times one is stymied and not even able to conceive of any next step to take. Perhaps the most powerful of problem-solving techniques, in mathematics and in life, is to simply DO SOMETHING, now matter how irrelevant or unhelpful it may seem! Read more...

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Instructional Practices Guide

Guide to Evidence-Based Instructional Practices in Undergraduate Mathematics Success in mathematics opens opportunities for students. A wealth of research literature exists on how mathematics instructors can facilitate rich, meaningful learning experiences and on what instructors can do to improve teaching and learning at the undergraduate level: Effective teaching and deep learning require student engagement with...

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Curriculum Inspirations: Pencil Prices

James Tanton takes viewers through this question from the 2011 MAA AMC 10a Competition. Appropriate for the 10th grade level, this question covers Algebra. Common Core State Standards (CCSS): A-SSE.2; 7.G.4 Read the Curriculum Burst essay that goes with this question here: Pencil Prices This video demonstrates problem-solving strategy #8: Second-Guess the Author Curriculum Inspirations...

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CUPM Guide

Curriculum Guide to Majors in the Mathematical Sciences (CUPM) Developed in 2015 by the MAA Committee on the Undergraduate Program in Mathematics, the CUPM Curriculum Guide provides up-to-date guidance to assist departments in their efforts to modernize and improve their programs. View the CRAFTY: Curriculum Renewal Across the First Two Years Corerequisites here. View the...

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