Unit 3: Reasoning and Explaining (MP2 and MP3)

# 3.1.1 Student Definitions and Explanations

It is important in mathematics to give clear and logical explanations. The "Odd and Even Survey" provides explanations of odd and even across the grades. Please take a few minutes to respond to the questions below:

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Over 300 students from grade five through high school geometry participated in the 2-question survey. Select each link below to view a sampling of student-generated definitions. Does grade level impact logic and/or clarity?

Sampling of typical student responses to the question, “What is the definition of an even number?”

5th Grade

Middle School

High School

The student definitions indicate that many students in all grades are novice reasoners about odd and even integers. In the next sections, students in the 5th-grade classroom begin to build their “community of reasoners”. Note that defining odd and even is not a grade five standard. The example provided is meant to focus on the reasoning and explaining practices, not the standard itself.

In your Metacognitive Journal, reflect upon the samples above.

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