Geometry in the Common Core State Standards

Completed
Friday, March 26th, 2021
11:00AM  PT
12:00PM MT
1:00PM CT
2:00PM ET
PRESENTED BY: William McCallum


The Common Core State Standards describe an approach to geometry that is both new and old. It is new in the sense that it bases geometric reasoning on the fundamental concept of a transformation, rather than on some version of Euclid’s axioms. It is old in the sense that these transformations are essentially just the intuitive backing behind notions such as Euclid’s principle of superposition. Thus, for example, they allow for the resurrection of that notion in defining congruence—two figures are congruent if one can be superimposed on another—while providing a rigorous foundation for that definition. Thus they allow a geometry course to bypass the long dry march through intuitively obvious statements that characterize traditional courses, while providing a stronger backbone of reasoning to more recent reform style courses. In this presentation I will describe the approach and give some examples of its affordances in curriculum.


Registration:
Registration is closed
Duration:
60 minutes
Format:
Online seminar via Zoom web meeting software with questions and discussion. Detailed instructions for joining the seminar will be emailed to registered participants.

Presenter(s):
William McCallum
Presenter bio not available.

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