Fractals in 6th Math with @kkleinNYC, Geometer’s #Sketchpad, @Scratch, and pencils. @The_School #mathchat

I’ve had a deep love and respect for Geometer’s Sketchpad since I was first introduced to it in 1994 as an undergraduate Math major (and aspiring math teacher) at Bryn Mawr College.

Later, I used Geometer’s Sketchpad during my student teaching stint at Strath Haven High School and again as a pre-Algebra/pre-Geometry teacher at The Dalton School.

Today in 6th grade Math at The School at Columbia University, Katie Klein (@KKleinNYC) and her associate teacher, Jazmin Sherwood, facilitated a great lesson on Fractals blending direct instruction, video, and self-paced sketching with and without technology.

1. Homework from the previous night was to watch the first 20 minutes of Fractals, Exploring the Hidden Dimension.

2. Here’s a link to beautiful photos of fractals found in nature:

3. Here are instructions for drawing Sierpinski Triangles with paper and pencil:

4. Here are instructions for drawing Sierpinksi Triangles using Geometer’s Sketchpad on their laptops:

5. Here’s another resource for making other fractals with Geometer’s Sketchpad:

6. With additional time, students could explore fractals with Scratch or Snap (both are web-based block-based programming environments). Here are some links I gathered:

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