don’t you wish there was a dibels for math? assessing the stepping stones to computational fluency...
TRANSCRIPT
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Don’t You Wish There
was a DIBELS for Math?
Assessing the Stepping Stonesto
Computational Fluency
Terry Rose WERA Spring Conference 2007
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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
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SAUCER Results84.6% mental
11.1% written
6.8% calculator use
19.6% use of physical objects
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201 - 189 =
321 - 275 =
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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
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Number Sense “Big Ideas”counting skill
decomposition of number
base ten number system
concepts of operations
basic fact fluency
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Early NumeracyInterview Booklet
Victoria Department of Education(Australia)
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Assessing Math Concepts
(Nine Book Series)
by Kathy Richardson
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• 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
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Teaching Number in the
Classroomwith 4-8 year-olds
Wright • Stanger • Stafford• Martland
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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
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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
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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)
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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
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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
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Terry Roserose.terry @comcast.net
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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