Category: Math by Subject

Taking the Algebra Out of College Algebra

Today’s talk from AMATYC was “Taking the Algebra Out of College Algebra” (to lessen the heretical title slightly I will tell you I’m advocating for taking *some* of the algebra out of College Algebra). The goal of the talk is to help faculty redevelop a math program so that it de-emphasizes algebraic manipulation can be daunting. Faculty will leave this talk with both a vision for the nirvana they want (the long-term goal) and small, executable steps they can take right now to work towards that goal. I meant to record the audio for the talk but I completely...

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Group Exploration in Math

I am often asked how to get learners to spend more time “exploring” in their learning rather than just recalling or responding to specific prompts for information. Exploration of the learning space is particularly important because learners find the interesting nooks and crannies of the concepts that they would not otherwise discover. Let me share an example. Yesterday in class we needed to spend more time on exponential functions. I began class by displaying a graph of y=2^x and asking the class specific questions like “The graph of an exponential function has an asymptote, where is it?” Only to...

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Learning at Scale Slides from ICTCM

Learning at Scale: Using Research To Improve Learning Practices and Technology for Teaching Math In the last 5 years, there has been a rise in what we might call “large-scale digital learning experiments.”  These take the form of centralized courses, vendor-created courseware, online homework systems, MOOCs, and free-range learning platforms. If we mine the research, successes, and failures coming out of these experiments, what can we discover about designing better digital learning experiences and technology for the learning of mathematics? Learning at Scale: Using Research To Improve Learning Practices and Technology for Teaching Math from Maria Andersen   Possibly...

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Celebrate the Errors in Math Practice

Dear math students, As you work through your mathematics practice, I’m going to challenge you to embrace making errors in an entirely new way.  Many students believe that every problem in math homework should be perfectly constructed with no errors. It might look something like this:   But when it’s time to study after the initial problem run-through, what does this perfectly constructed problem say? Does it coach you on remembering how you struggled? Does it remind you where you made an error? No. When you make an error as you’re working a problem, please don’t erase it from the face of the...

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