Improving Mathematical Understanding Deepening Number Sense
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Transcript of Improving Mathematical Understanding Deepening Number Sense
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Improving Mathematical Understanding
Deepening Number Sense
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Quantity
Symbol
Verbal
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How do kids represent number?
• Level 0- Subitizing numbers up to 3, raises fingers sequentially.• Level 1- Subitizing regular patterns up to 6 and
irregular patterns up to 5, raises fingers simultaneously up to 5.• Level 2- Recognize 5-wise and pair-wise
structures, create finger patterns, combine and partition numbers up to 10.
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• Level 3- Uses the sub-base of 5 to combine and partition numbers up to 10 without
counting.• Level 4- Combines and partitions numbers up to
20 using 10-plus and doubles.• Level 5- Uses sub-base of 5, base of 10, and
doubles to combine and partition numbers up to 20 without counting.
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81 – 79 =
11 – 8 =
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Number Sense vs. Teaching the Standard
Algorithm
7981
811
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Fact Fluency
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Number Line
13 14 15 16 17 18 19 20
Open Number Line
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Ten Frames
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Dot CardsSubitizing
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Task 1Flashed Dot Patterns
What interventions should we do to support this?
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Task 2Finger patterns
What interventions should we do to support this?
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1 2 3 4 5 6 7 8
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It is important to know what type of thinkers your students are. Interval thinkers like the number line. Discrete thinkers don’t understand the number line. They need concrete objects.
Interval Thinkers think in terms of jumping on the number line.Example: 12 remove 3I have 12 so 11, 10, 9-I have 9 left. (12…. 11, 10, 9)
1 2 3 4 5 6 7 8 9 10 11 12 13
1110 9
I have 9 left.
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Discrete Thinkers think in terms of counting individual objects.Example: 12 remove 3I removed 12, 11, and 10 so I have 9 left. (12, 11, 10……9)
Johnny had 12 heart cookies. He gave his friend Mr. 12, Mr. 11, and Mr. 10, so he had 9 left.
1211 10 I have 9
left.
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Task 3Name and visualize
quantities on a pair-wise ten frame
What interventions should we do to support this?
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What does the Investigations
curriculum do to develop number
sense?
What are your next steps?
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