We've just observed a problem with a focus on reasoning and proof. Now we'd like you to write about your own classroom practice. Throughout the session, as you make your journal entries, use the material you've just seen and read as a context.

• We know that middle school students grasp mathematical ideas and processes at different levels. What are some of the levels of reasoning that are obvious in the video –– or with your own students?
• Once students make a conjecture, how can you help them justify (and, if necessary, extend) their ideas?
• What are some techniques that will help move students from recursive patterns (continuing the table) to generalized patterns (finding a formula for any number of rods)?

• Use pen and paper.
• Use a word processor.
• Use the form below.

Your work will be displayed in a printer-friendly format to enable you to print.

Thanks for writing in your journal. Please keep your entries in whatever format you choose -- you will find them useful for reference later.

  Explore reasoning and proof