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

SAUCER Results 84.6% mental 11.1% written 6.8% calculator use 19.6% use of physical objects

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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

Number Sense “Big Ideas” counting skill decomposition of number base ten number system concepts of operations basic fact fluency

Early Numeracy Interview Booklet Victoria Department of Education (Australia)

Assessing Math Concepts (Nine Book Series) by Kathy Richardson

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

Teaching Number in the Classroom with 4-8 year-olds Wright Stanger Stafford Martland

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

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

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 )

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

Structuring Numbers 1 to 20 Name/visualize pair-wise patterns 1-10 Name/visualize five-wise patterns 1-10 Name/visualize pair-wise patterns Five-wise and ten-wise patterns Name/visualize ten-wise patterns Add using doubles, fives and tens Sub using doubles, fives and tens

Terry Rose

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 Council Everybody Counts