Relearning to Teach Arithmetic

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# Relearning to Teach Arithmetic - PowerPoint PPT Presentation

Relearning to Teach Arithmetic. Addition, Subtraction, Multiplication and Division. Introduction. In today’s session you will see a significant shift in the way students experience mathematics, this shift will be -“toward” mathematical reasoning; away from merely memorizing procedures

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### Relearning to Teach Arithmetic

SD Counts-Mini Foundations Summer 2007

Introduction

In today’s session you will see a significant shift in the way students experience mathematics, this shift will be

-“toward” mathematical reasoning; away from merely memorizing procedures

-toward conjecturing, inventing, and problem-solving; away from an emphasis on mechanistic answer-finding

SD Counts-Mini Foundations Summer 2007

The way “they” learn math is different than the way “we” learned math.
• Most of us sitting here today learned math my memorizing particular algorithms for each operation. We don’t have images, experiences, or knowledge about how students can develop their understanding of whole-number computation because we never had to build it ourselves.

SD Counts-Mini Foundations Summer 2007

The question of fluencyhas come up several time in conversation with current SD Counts principals and teachers.Fluency will happen if….
• students have knowledge of the base10 number system
• a repertoire of number relationships
• an understanding of the characteristics of each operation and how the operations are related

SD Counts-Mini Foundations Summer 2007

• By learning about computation across the grades, teachers will better understand how concepts build and connect and about the range of student understanding within their classroom. Teachers will also gain a better understanding of whole-number computation.

SD Counts-Mini Foundations Summer 2007

Mental Math

48 + 25

SD Counts-Mini Foundations Summer 2007

Video-SegmentStacie, Harrison, Zoe, Elthea, James and Chrisexample of a “Math Talk”
• Watch closely as these students solve the same problem as we just did

48 + 25

SD Counts-Mini Foundations Summer 2007

The 2nd stop on our JourneySubtraction

Mental-math activity

35-16

SD Counts-Mini Foundations Summer 2007

Video SegmentLisa, James and Naillil (NY-JILL)
• Watch closely as these three students solve the following subtraction problem

40 - 26 =

SD Counts-Mini Foundations Summer 2007

SD Counts-Mini Foundations Summer 2007

The 3rd stop Multiplication

Mental-math activity

27 x 4

SD Counts-Mini Foundations Summer 2007

Video Segment-MultiplicationDarren, Tatia, Daniel, Rona, Jonathan, Rosa, Erica, and Terrance

27 x 4 and 128 x 38

SD Counts-Mini Foundations Summer 2007

The Last StopDivision

Mental-math activity

140/8

SD Counts-Mini Foundations Summer 2007

Video Segment-DivisionElaine, Yuriy, Amelinda, and Thomas

159/13

SD Counts-Mini Foundations Summer 2007

The Teacher’s RoleTeaching and Learning About Multiplication/Division.
• Watch for the following: