Everything you do in mathematics should make sense to you (Sense making and the effective teaching practices) Linda Gojak Immediate Past President, NCTM.

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Presentation transcript:

Everything you do in mathematics should make sense to you (Sense making and the effective teaching practices) Linda Gojak Immediate Past President, NCTM

Effective Mathematics Teaching Practices 1.Establish mathematics goals to focus learning. 2.Implement tasks that promote reasoning and problem solving. 3.Use and connect mathematical representations. 4.Facilitate meaningful mathematical discourse. 5.Pose purposeful questions. 6.Build procedural fluency from conceptual understanding. 7.Support productive struggle in learning mathematics. 8.Elicit and use evidence of student thinking.

Effective Mathematics Teaching Practices 1.Establish mathematics goals to focus learning. 2.Implement tasks that promote reasoning and problem solving. 3.Use and connect mathematical representations. 4.Facilitate meaningful mathematical discourse. 5.Pose purposeful questions. 6.Build procedural fluency from conceptual understanding. 7.Support productive struggle in learning mathematics. 8.Elicit and use evidence of student thinking.

Whole Numbers ? 8. Elicit and use evidence of student thinking

1. Establish mathematics goals to focus learning

The “No Purpose” Zero 207 x x Build procedural fluency from conceptual understanding

Watch your language Use and connect mathematical representations

“Reducing” Fractions Elicit and use evidence of student thinking =

1. Establish mathematics goals to focus learning

Adding Fractions Pose purposeful questions

Adding Fractions Use and connect mathematical representations

Mixed Numbers Implement tasks that promote reasoning and problem solving

Division of Fractions 7. Support productive struggle in learning mathematics

Division of Fractions 6. Build procedural fluency from conceptual understanding

Decimals 6. Build procedural fluency from conceptual understanding

4. Facilitate meaningful mathematical discourse

Communication 8. Elicit and use evidence of student thinking

Using Formulas…… 2l +2w l x w πr 2 2πr ½ab r x t = d p r t = i L x W x H

l x w πr 2 2πr ½ab Using Formulas…… r x t = d 3. Use and connect mathematical representations

Everything you do in mathematics should make sense to you…. …except trapezoids!