don’t you wish there was a dibels for math? assessing the stepping stones to computational fluency...

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to Computational Fluency Terry Rose WERA Spring Conference 2007

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Page 1: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Don’t You Wish There

was a DIBELS for Math?

Assessing the Stepping Stonesto

Computational Fluency

Terry Rose WERA Spring Conference 2007

Page 2: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 3: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

SAUCER Project(So Adults Use Calculations Everyday

Research)

Between February and September 1998

200 adults

Recorded all mathematical calculations they completed in a typical 24 hour period

Page 4: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

SAUCER Results84.6% mental

11.1% written

6.8% calculator use

19.6% use of physical objects

Page 5: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

201 - 189 =

321 - 275 =

Page 6: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Number sense can be described as good intuition about numbers and their relationships. It develops gradually as a result of exploring numbers, visualizing them in a variety of contexts, and relating them in ways that are not limited by traditional algorithms.

Hilde Howden

Page 7: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Number Sense “Big Ideas”counting skill

decomposition of number

base ten number system

concepts of operations

basic fact fluency

Page 8: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Early NumeracyInterview Booklet

Victoria Department of Education(Australia)

Page 9: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 10: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Assessing Math Concepts

(Nine Book Series)

by Kathy Richardson

Page 11: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 12: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

• Book One - Changing Objects

• Book Two - Changing Numbers

• Book Three - More/Less Trains

• Book Four - Number Arrangements

• Book Five - Combination Trains

• Book Six - The Hiding Assessment

• Book Seven - Ten Frames

• Book Eight - Grouping Tens

• Book Nine - Two-Digit Add and Sub

Page 13: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Teaching Number in the

Classroomwith 4-8 year-olds

Wright • Stanger • Stafford• Martland

Page 14: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 15: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 16: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Number Words and

Numbers

• Forward number word sequence

• Number word after

• Backward number word sequence

• Number word before

• Numeral identification

• Sequencing numerals

• Ordering Numerals

• Locating numbers in a range

Page 17: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Early Counting and Addition

• Comparing small collections• Increase/decrease in the range of

1 to 6• Establishing the numerosity of a

collection• Establishing a collection

• Establishing the numerosity of two

• Additive tasks - two screened collections

Page 18: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Structuring Numbers 1 to 10

Wright

• Finger patterns for numbers (1 to 5)

• Finger patterns for numbers (6 to 10)

• Naming and visualizing domino patterns

• Naming and visualizing with ten frame

• Partitions of 5 and 10• Addition and subtraction (range 1

- 10)

Page 19: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 20: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 21: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Advanced Counting,Addition and Subtraction

• Additive tasks, two screened collections

• Missing addend tasks, screened collections

• Removed items tasks, screened collections

• Missing subtrahend, screened collections

• Comparative subtraction, screened

• Subtraction with bare numbers

Page 22: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 23: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Structuring Numbers 1 to 20

• Name/visualize pair-wise patterns 1-10

• Name/visualize five-wise patterns 1-10

• Name/visualize pair-wise patterns 11-20

• Five-wise and ten-wise patterns 11-14

• Name/visualize ten-wise patterns 15-20

• Add using doubles, fives and tens• Sub using doubles, fives and tens

Page 24: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 25: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 26: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 27: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 28: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Terry Roserose.terry @comcast.net

Page 29: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 30: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 31: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 32: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 33: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007
Page 34: Don’t You Wish There was a DIBELS for Math? Assessing the Stepping Stones to Computational Fluency Terry Rose WERA Spring Conference 2007

Skills are to mathematics what scales are to music or spelling to writing.The objective of learning is to write, to play music, or to solve problems - not just to master skills.

National Research CouncilEverybody Counts