Entries by Aaron Lee

Session 07: April 02, 2016

We were fortunate to have Dr. Michael Nakamaye from the University of New Mexico as a guest presenter at MaTCH. The focus of the session was on making sense of ratios as they related to the gears of a bicycle. Although many of us have experiences riding bikes, not many of us had thought about […]

Session 06: March 05, 2016

Proofs of Impossibility Very engaging for teachers, and applicable to a variety of classroom contexts, this session’s tasks involved deriving numbers using the four operations (+, -, x, ÷). This eventually led to the identification of numbers that were impossible to make and discussions on how we might prove that. Some of us found that it was […]

Session 05: February 06, 2016

Single-Cut Geometry This investigation into cutting out regular and irregular polygons using only a single cut of the scissors led to interesting discussions of symmetry, geometric centers and angle bisectors. The teachers in this session loved the use of representation and how the task might allow diverse students access into the mathematics. A discussion into […]

Session 04: December 05, 2015

Flipping Pancakes Problem Who knew there was mathematics behind flipping pancakes? Using a problem posed by mathematician Jacob Goodman in 1975, Dr. Manes and assistants Reckwerdt and Rader facilitated a session in which we investigated ordering, factorials, permutations and combinatorics within the context of this problem. Foam manipulatives provided a model for flipping pancakes and […]

Session 03: November 07, 2015

The Number Line Activity In this session, using a human number line, we investigated transformational geometric motions related to operations on numbers. For example, what happens to one’s position on a number line when two is subtracted from your given number? What happens when your number is multiplied by negative one? What number would we […]

Session 02: October 03, 2015

Stern-Brocot Trees – Finding Patterns with Rational Numbers A special kind of binary tree, our investigation into the Stern-Brocot tree had us looking at patterns of rational numbers and generalizing those patterns to ascertain the mathematical structure behind the tree. The day also included an overview of the eight Common Core State Standards of Mathematical […]

Session 01: September 12, 2015

Bicycle Tracks Our first session of the year involved an investigation of the Bicycle Tracks problem, developed by mathematician James Tanton. As they worked through this task, teachers were encouraged to ask intriguing questions about paths created by the front and rear wheels of a bicycle as it moves down a length of paper, eventually […]