The Math Forum

National Council of Teachers of Mathematics (NCTM)
Annual Meeting, Indianapolis, Indiana
April 13-16, 2011

"Geometry: Constructing and Transforming Perspectives"

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NCSM Booth 512 || NCSM 2011 Presentations || NCTM Booth 1243


Mastering the Common Core: We have the Practices. Visit us in Indy to get sample problems and to talk about how the Math Forum community has been developing mathematical communication and problem solving every day since 1992.

Look for our coupon in the Program Book and bring it to Booth 1243 to be entered into a drawing to win an iPad®. You can also enter our raffle for Math Forum Prize Packs and receive a coupon for 30% off Problems of the Week class, school, or district memberships, or our online PD courses!

Meet the Math Forum staff in the Exhibit Hall, at Booth 1243 or attend one of our sessions:

Click on the day/time to view details about that session:

Wednesday 1:00 - 2:30
Research Presession 120: A Modified Framework for Analyzing Teachers’ Learning Online
Thursday 11:00 - 12:00
Session 140: Using Technology to Transform Students' Problem Solving Experiences and Perspectives
Thursday 12:30 - 1:30
Session 173: Using Screen-Capture Movies to Assess Quadrilateral Constructions in Sketchpad
Friday 11:00 - 12:00
Session 436: Transform Your Geometry Teaching With These Free Online Resources

A Modified Framework for Analyzing Teachers’ Learning Online

Wednesday, April 13, 2011
1:00 pm - 2:30 pm
Research Presession 120
Sagamore 3

Chrystal Dean
Appalachian State University, Boone, North Carolina
Jason Silverman
Drexel University, Philadelphia, Pennsylvania



The speakers will discuss an aspect of a project that extends existing research on professional teaching communities to an online environment. They will investigate what aspects of an existing analytical framework that investigates professional teaching communities’ learning are transferable to online environments.


Using Technology to Transform Students' Problem Solving Experiences and Perspectives

Thursday, April 14, 2011
11:00 am - 12:00 pm
Session 140
Convention Center, 128
Level: 5-9
General Session

Ashley C. Miller (lead)
Marie Hogan
Suzanne Alejandre




Problem solving is an important 21st century skill for all students to master. Technology enables mastery to be a more realizable dream. We will share free online resources that we've used in the classroom to transform students from "I don't get it" into confident problem solvers. Tips for schools with limited technology/resources will be provided.


Our goals include sharing
  • strategies and activities using technology with problem solving to transform students into thinkers
  • economical resources for engaging students in all strands of mathematics
  • technology-based lessons to raise student achievement

We have been able to consistently keep students analyzing and creating and we want to share these tools with others. Attendees will leave with ideas and resources they can implement tomorrow.

Focus on Math:

The mathematical focus of the lessons, activities and strategies will be on

  • two- and three- dimensional geometric shapes
  • geometric relationships
  • spatial relationships using coordinate geometry and geometric modeling
  • transformations and symmetry
  • the process of mathematical problem solving
  • communication of coherent mathematical thinking

Although the sample problems used and the theme of the activities will be the geometry strand, the strategies we share can be used with any of the strands.


Using Screen-Capture Movies to Assess Quadrilateral Constructions in Sketchpad

Thursday, April 14, 2011
12:30 - 1:30 pm
Session 173
Convention Center, Wabash Ballroom 1
Level: 5-9
General Session

Annie Fetter
Christina Foran

Part of NCTM's Learn↔Reflect Strand



Students' sketches of quadrilateral constructions convey much information about the students' understanding of quadrilateral properties and how those properties drive sound constructions. But how do you document the decisions, missteps, and self-corrections that are lost in the final sketch? Make screen-capture movies of the construction process!


Participants will
  • generate and compare properties of quadrilaterals
  • analyze Sketchpad constructions of quadrilaterals and tie construction steps to specific properties
  • view movies made by graduate students in a Sketchpad class and middle and high school students
  • see examples of the added information provided by movies over final sketches
  • hear about experiences of middle and high school teachers with quadrilateral constructions and explorations

Focus on Math:

The quadrilateral hierarchy will play a prominent role in the session, both as a feature of the movies and sketches we'll view as well as in the participant discussion. We'll look closely at the properties of all the quadrilaterals and discuss which of those properties are necessary and sufficient to generate a dynamic and general construction using the Geometer's Sketchpad. Movies will illustrate student decision-making and accountable talk, both individually and in groups.


Transform Your Geometry Teaching With These Free Online Resources

Friday, April 15, 2011
11:00 am - 12:00 pm
Session 436
Convention Center, 128
General Session

Steve Risberg
Annie Fetter


Steve [Riz]

With over a million pages of cataloged content, the Math Forum is home to a large variety of mathematics resources and lets you easily find reference materials, applets, activities, and problems that engage your students in exploring topics in geometry. Technology helps make the material come alive and allows for dynamic investigations.


Participants will reflect on teaching and learning geometry through an exploration of free online Math Forum resources:
  • The Math Tools Digital Library as a source for technology-based simulations, activities and lessons.
  • Ask Dr. Math as a reference for questions on the mathematics of geometry.
  • The Technology Problems of the Week as a source of fun, relevant problems with an emphasis on communication.
  • Online orientation sessions to maximize effective use of these resources.

Focus on Math:

Teachers can often feel frustrated and stuck within their curriculum or textbook, and don't always have the time to create their own supplemental materials. Making it easy for them to find informative and engaging technological instructional resources increases their options in the classroom and gives them the flexibility to present topics such as symmetry, tessellations, transformations, and 3-dimensional geometry in compelling and engaging ways and greatly enhance student excitement.

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