GeT – The Blog

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Teaching for Understanding

Geometry for Teachers (GeT) is a course at South Dakota State University (SDSU) that is entirely made up of mathematics majors who are planning to become certified to teach middle and high school mathematics. It is typically the first mathematics course that our preservice teachers take that includes pedagogy. Since I want the students to […]

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February 20, 2020
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Exploration, Construction, and Proof as Resources for Teaching Geometry Through Problems

As the call to teach mathematics through collaborative problem-solving reaches a wider audience, more secondary school teachers are grappling with the difficulties inherent in facilitating learning through problems. Open problems provide opportunities for students to engage in authentic disciplinary practices such as formulating and evaluating conjectures, considering the costs and affordances of various problem-solving approaches, […]

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February 20, 2020
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Did You GeT: The News?

Welcome to the first issue of GeT: The News—the newsletter for GeT: A Pencil! The idea with this newsletter is to deepen our community bonds and share ideas. We plan to publish it three times a year and to include not only news from the GRIP Lab about our GeT Support project, but also essays […]

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January 30, 2020
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An Odd Copy of a Triangle: Where do student errors come from?

The mathematics education literature on student errors has documented how sometimes what students learn can be overgeneralized as they solve other problems and can even occasion errors. I was reminded of this as I puzzled over something I observed some Geometry for Teachers’ students doing as they worked on the problem of constructing a triangle […]

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January 30, 2020
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Angle Bisectors

There are good reasons why the theorems should all be easy and the definitions hard. -Michael Spivak In this article, we look at a selection of tasks related to the angle bisectors of a quadrilateral and discuss their potential function in GeT courses. An instructor may choose to begin an exploration of the properties of […]

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January 30, 2020
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A GeT Course “Classic”: The Euclidean Archetype

We are all members of the Euclidean Archetype workgroup. As we summarized in our report, a GeT course organized around the Euclidean archetype will focus on the axiomatic development of fundamental principles of geometry. Informed by the spirit and organization of Euclid’s Elements, this course emphasizes mathematical precision, rigorous proof, and clear communication. We have […]

Date:
January 30, 2020
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