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

Defining Reasoning and Proof
  The Reasoning and Proof Standard | Inductive and Deductive Reasoning | Thinking About Reasoning in the Classroom | Questions and Answers | Connecting to the Other Process Standards | Summary | Your Journal

 
 

We've just defined the Reasoning and Proof Standard in more detail. Now we'd like you to write about the standard.


Questions to write and reflect about:
  • Consider the standards, methods, and goals discussed in this section. How can you support reasoning in your own classroom?
  • Do you have a favorite problem that would enable students to reason both inductively and deductively? How might students develop their reasoning as they solve this problem?
  • What are some questions you can ask to support students without taking over the thinking process for them? What are the characteristics of this type of question?
  • What are the characteristics of good mathematical tasks that encourage students to develop habits of sound reasoning and proof?
  • How does assessment of students' reasoning and proof differ from assessing other mathematical areas? How is it the same?
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.



journal

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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