Teaching Reasoning in Math: Types & Methods

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  • 0:03 Reasoning, Defined
  • 0:36 Types of Reasoning
  • 2:35 More About Connective…
  • 3:51 Teaching Math Proficiency
  • 4:54 Lesson Summary
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Lesson Transcript
Instructor: Kerry Gray

Kerry has been a teacher and an administrator for more than twenty years. She has a Master of Education degree.

This lesson will introduce several types of reasoning, including: connective, inductive, deductive, abstract, quantitative, and adaptive. Further, we will discuss methods for teaching students to use connective reasoning to solve mathematical problems.

Reasoning, Defined

Has this ever happened to you? Last week, Kim went through the drive-through at my favorite Mexican fast food place, ordered two burritos, and was told that her total was $30.23. She and the cashier laughed about how good the burritos must be for that price, but they both used their reasoning skills to see that there was a mistake somewhere.

Reasoning is making sense of mathematical processes by investigating and justifying new information based on its connection with existing schema. Let's look at some mathematical reasoning skills your students need to know.

Types of Reasoning

There are many types of reasoning your students will use as they become successful mathematicians. Here are a few:

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