Chapter 09

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Instructional Goals and ObjectivesWith Number Theory and Integers

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Mathematical Routine:Number Talk

-32 - 45 =

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Conversation in Mathematics

• Discuss the confusion that some of the students are having around odd and even numbers.

• Discuss the possible goals that the teacher had before presenting this problem to the class.

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Goals and Objectives

• Pedagogy

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4 Goals around which to Design Instruction

• Content• Process• Disposition• Social

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Content Goals

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Process Goals

• Problem solving• Communication• Reasoning and Proof• Representation• Connections

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Disposition Goals

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Social Goals

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Number Theory and Integers

• Content

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Odd and Even Numbers

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Prime Numbers

• Making Candy boxes• Eratosthenes Sieve

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Zero Pair4 + 5 or (+4) + (+5)6 - 3 or (+6) - (+3)3 - 6 or (+3) - (+6)(+3) + (-4)(+6) - (-2)(-5) + (-3)(-7) - (-10)

Integers