Teaching Reasoning in Math: Types & Methods


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A student determines that because 5 x 5 = 25 and 5 x 8 = 40, every multiplication problem with a factor of 5 has a product that ends in either 0 or 5. What type of reasoning did this student use?

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1. After a student solves a problem, he is able to justify his solution by demonstrating the logic behind his thinking with manipulatives. What type of reasoning is he using?

2. Which of the following strands of mathematic proficiency was most celebrated in a traditional classroom (but is falling out of favor today)?

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About This Quiz & Worksheet

How much do you comprehend about teaching reasoning in math? Assess your knowledge of reasoning strategies and different related terms by going through the available quiz/worksheet combo.

Quiz & Worksheet Goals

In this assessment, you will be tested on the following topics:

  • An activity that is best practiced when teaching a new math concept
  • Type of reasoning where a person makes a rule from just a couple of specific examples
  • Strands of mathematic proficiency most celebrated in a traditional classroom
  • A productive disposition
  • Reasoning that involves justifying a solution by demonstraing logic with manipulatives

Skills Practiced

  • Knowledge application - use your knowledge to answer questions about the different types of reasoning
  • Reading comprehension - ensure that you draw the most important information from the lesson on teaching types of math reasoning
  • Information recall - access the knowledge you have gained about the meaning of productive disposition

Additional Learning

Learn more as quickly as possible by gaining access to the lesson, Teaching Reasoning in Math: Types & Methods. Some objectives you can cover include:

  • Define reasoning
  • Compare and contrast the different types of reasoning
  • Determine how to be mathematically proficient