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CONSTRUCTINGMEANING IN COUNTINGAND NUMERACY Tim Whiteford Ph.D. Andrew’s Dad and Associate Professor St. Michael’s College Colchester Vermont twhiteford@smcvt.edu
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Some Math• Manipulatives - Arrow cards - Digiblocks• Numeracy – Number names• The Triangle of Meaning – 3 “languages”• Place Value• The Referent Unit – what is the One• Meanings of the Operations – join, separate compare, part-part-whole
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Numeracy • Number name sequence – zero, one, two etc • Subitizing – regular and irregular • One to One correspondence – one word, one object • Cardinality – last counting word names the group
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Place Value• Base Ten is groups of groups of tens• 0 – 9 is repeated in each place• 10 ones make (or are regrouped) as one ten etc• The 100, 10, 1 pattern is repeated in ones, thousands, millions and so on. Millions Thousands Ones 100 10 1 100 10 1 100 10 1
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The Referent Unit• Changes a numeral into a magnitude 5• Gives meaning to numbers• Can be culturally derived• Can change within a number sentence or problem
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Meanings of the Operations• Visualize problem solving by thinking about what is happening. • Addition and subtraction Part-Part-Whole • Join • Separate • Compare • Multiplication and Division (some examples) • Equal groups • Area • Then use a calculator
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Clocks• What is the time?• Analog and digital• One-handed clock
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The Telephone and Remote• Important telephone numbers• TV channels
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Credit Card and Calculator• Andrew uses his own credit card• He uses a calculator to solve problems (we’re working on it)
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Websites TJW math page http://academics.smcvt.edu/twhiteford/Math/Math. htm TJW iPAD2 page http://academics.smcvt.edu/twhiteford/Math/Math %20Apps.htm TJW iPAD2 and Special Education FaceBook page http://www.facebook.com/#!/groups/1158972518321 73/
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Quick Guides to Inclusion – Giangreco and Doyle - Brookes Publishing Making sense – Teaching and Learning Math with Understanding - Hebert et al – Heinneman Children’s Mathematics – Carpenter at al – Heinneman Teaching Math to People with Down Syndrome - Horstmeier Woodbine House publishing
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