Common Core: Dilation and Similarity with Dynamic Geometry Software

Steve Weimar (in the role of narrator)
Max Ray (in the role of teacher)

Simplenote login to see notes from the "students": https://simple-note.appspot.com/
user: ISTE2011@verizon.net
password: themathforum

Blogging at mathforum.org/blogs/ (Steve and Max)
Tweeting at twitter.com/maxmathforum (Max)
Or email us

If you'd like to access a copy of Geometer's Sketchpad through July 8th, 2011, email us for the license information.

Overview for "students" and observers: We will introduce a problem solving strategy development approach that we have been using in low and high performing schools in order to increase student engagement in math, structure student-centered inquiry, and foster more rigorous math talk. We will model the development of mathematical thinking in which students connect conceptual understanding with strategic thinking and procedural fluency with the aid of dynamic geometry software.

Agenda for "students":

Launch: Notice and Wonder about crime scene photos

Explore: Use Geometer's Sketchpad to answer questions generated by the crime scene

Summarize, Reflect, Extend: Connect this investigation to our big questions about big math ideas.

Resources for observers [pdf]:

In planning courses we tend to think of five strands that we want to explicitly name and work on with our students: mathematics, problem solving, learning to learn, and communication. Sometimes we also include groupwork/interaction models/collaboration as a separate strand, but we won't focus on that here. Attached are some documents that indicate frameworks we use in thinking about these strands. Please help us think about today's lesson in terms of these strands.

A broad overview of the math behind the lesson. Tantalizing...

The Concept, Method, Procedure framework.

Our prepared facilitation questions.

A handout from the Connected Math Project explaining the Launch, Explore, Summarize lesson structure.

Problem-solving strategies and facilitation questions from the Math Forum's Problem-Solving and Communication Activity Series

The Common Core State Standards Initiative's Mathematical Practices.

A rough developmental sequence of student mathematical communication (writing and talk).

Lauren Resnick and the Institute for Learning's Accountable Talk Framework.