Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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Reasoning and ProofSession 04 Overviewtab atab bTab ctab dtab eReference
Part C

Defining Reasoning and Proof
  Introduction | Investigating Conjectures | Reasoning and Justification | Additional Methods | Your Journal


Keeping in mind the Reasoning and Proof Standard and the methods and goals discussed in this section, read the following questions and answer one in light of the students and content you teach.

Questions to write and reflect about:
  • What is the role of conjectures in the upper elementary mathematics classroom? Who makes conjectures?
  • What are the characteristics of good mathematical tasks that encourage students to develop habits of sound reasoning and proof?
  • How can you incorporate reasoning and proof, including justification, into everyday math lessons?
  • Describe a problem where students can generate and organize data, look for patterns, make a conjecture, state a general rule related to the conjecture, and possibly state reasons why it should always hold. How might students develop their reasoning as they solve this problem?
  • Could you define the key elements of reasoning and proof in the upper elementary school classroom, if, for instance, you were asked to explain them to a colleague?
Three ways to write and reflect:
  • Use pen and paper.
  • Use a word processor.
  • Use the form below.
Be sure to save what you have written before you navigate out of the journal section.


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.

And now, please take a moment to relax, if you haven't already -- or even if you have!

Next  Apply your knowledge

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