Tag Archives: Calculus

Calculus and the Art of Questioning – #NspiredatT3

It falls in the category of “ask; don’t tell.” We used to think that kids needed carefully scaffolded, guided learning experiences. We now think learners need opportunities to explore, ask what if, and test their ideas instead of us telling them what to think and do. We know there needs to be a balance of both.

What if we offered Calculus students a TI-Nspire™ document to explore and develop questions and hypotheses? What if we used student questions to develop a path to learning? Can we lead learning by following student questions?

In The Falconer; What We Wish We Had Learned in School, Grant Lichtman writes:

Good teachers ensure that their students learn the subject material to an acceptable or superior level. Great teachers all do one thing well: they create dissonance in the minds of their students and guide them in the resolution of that dissonance.

In another of our the T³ International Conference presentations in Las Vegas, Sam and I are going to share our thinking, our documents, and our ideas about creating dissonance and offering learners the opportunity to ask questions and investigate first.

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Here are the files we are using as starters for this conversation (We learn and share; download these Nspire files from our Dropbox. Each screenshot is hyperlinked to the corresponding file if you just want one or two.):

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We’d love your feedback and your questions.  We’d also love to know if you try this with learners.

TI-Nspire CAS Calculus Labs – Making Calculus More Engaging

Sam and I have been working on improving our Work Smarter Not Harder calculus labs for TI-Nspire CAS.  While we are waiting on the next OS, v. 3.2, we were able to share some of our work at the T³ International Conference in Chicago.

Our give-aways, shown below, included Lab 05 Exploring the Definition of the Derivative, Lab 13 Constructing Trapezoidal Sums,  Lab 15 Constructing Slopefields, and Lab 16 Exploring Accumulation Functions.  Each lab accompanies an interactive TI-Nspire CAS document for learners to investigate these calculus topics graphically, numerically, and analytically.

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(If you don’t have the TI-Nspire CAS software and are curious, there is a free 90-day version on TI’s website.)

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Calculus Labs – Making Calculus More Engaging 90-Minute Hands-On • TI-NspireTM Family of Handhelds, TI-NspireTM CX NavigatorTM System,

TI-NspireTM CAS Teacher Software

Sam Gough, The Westminster Schools, Atlanta, GA, USA
Co-Presenter(s): Jill Gough

Labs can make the calculus classroom more engaging. We will investigate major topics of differential and integral calculus through hands-on activities. Additionally, we will investigate ways to assess student’s understanding of the concepts.