1 / 17

# - PowerPoint PPT Presentation

Get Them Into the Ball Park! Using Estimation As A Means To Help Students Determine Reasonableness. Melissa Hedges, Math Teaching Specialist, [email protected] Beth Schefelker, Mathematics Teaching Specialist, [email protected] www.mmp.uwm.edu. Session Goals.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about '' - zeal

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Get Them Into the Ball Park!Using Estimation As A Means To Help Students Determine Reasonableness

Melissa Hedges, Math Teaching Specialist,

Beth Schefelker, Mathematics Teaching Specialist, [email protected]

www.mmp.uwm.edu

The Milwaukee Mathematics Partnership (MMP) is supported with funding from the National Science Foundation.

• To investigate connections between estimation and mental computation.

• To explore estimation strategies that support fluent and flexible thinking.

• Deepen the understanding of the language of estimation.

Make an estimate. Keep track of how you got your estimate.

Note the mathematical understandings you needed to make this estimate?

What if the estimate was 6000?

Where did this estimate come from?

Was it a good approach?

Why might someone select 150 instead of 140?

A Different Approach…What is happening here?

Estimation What does it take to make a good one?

Estimation requires good mental arithmetic skills which come from an understanding of the nature of the operations, a firm understanding of place value, and the ability to use various properties.

Bassarear, T. Mathematics for Elementary School Teachers. 2nd Edition. Houghton Mifflin Company.

National Research Council’sStrands of ProficiencyAdding It Up, 2001

• Strategic Competence

• Conceptual Understanding

• Productive Disposition

• Procedural Fluency

Nearest AnswerTen Minute Math, Dale Seymour Publications

5,210 + 298 ≈ 5,400 5,500 7,000 8,000

59 x 11≈ 60 500 600 6,000

268 ÷ 9.9 ≈ 25 250 2.5 2,500

Reasonableness: What does it mean?

87 x 52

• Share with a neighbor

• What did you know to feel comfortable with your estimate?

3,482 ÷ 7

• Think multiplication

0.1 1 10 100 1000

Solve 259 ÷ 24

• What do the students know

• How does the estimation strategy support their number sense?

Effective Use of EstimationAdding It Up, 2001

• Takes advantage of important properties of numbers and notational systems, including powers of ten, place value, and relations among different operations.

• Requires recognizing that the appropriateness of an estimate is related to a problem and its context.

Why Practice Estimation Strategies?

• “When there is an over emphasis on routine paper and pencil calculation it is difficult for students to move from calculating answers to estimating wisely. (pg. 216)

ProblemOver/Under

• 37 + 75 100

• 476 - 117 300

• 349 ÷ 45 10

• 17 x 38 800

Estimation GameTen Minute Math, Dale Seymour Publications

____ ____ x ____

• Make a template

• Use a set of number cards

• Fill the template with the numbers as they are flipped.

• Make an estimate (approx. 30 seconds)

What do the researchers suggest?

• Long term goal of computational estimation is to be able to quickly produce an approximate result that’s adequate for the situation. (Van de Walle, 2009)

• Teachers should help students learn how to decide when an exact answer or an estimate would be more appropriate, how to choose the computational methods that would be best to use, and how to evaluate the reasonable ness of computations.

• Most calculations should arise as students solve computations in context.

• Van de Walle,J. (2007) Elementary and Middle School Mathematics, Teaching Developmentally.

• Tierney, C. Russell, S.(2001) Ten Minute Math. Dale Seymour

• Adding It Up. (2001) National Research Council.

• Principles and Standards for School Mathematics, 2000

• Milwaukee Mathematics Partnership (MMP)

• www.mmp.uwm.edu