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Singapore Math Strategies. Covering vs. Conceptualizing. Recognition Modeling Independent
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Covering vs. Conceptualizing • Recognition • Modeling • Independent Richard Skemp was a mathematician who many years ago published an important discussion paper regarding math. The gist of it was that it was that for deep understanding, both rules and reasons are important; but reasons should come before rules. The relational understanding must be before the instrumental understanding.
Developing Early Number Sense • Rote counting • Rational counting • Cardinal numbers • Subitizing • Ordinal numbers • Measurement • Nominal numbers
Developing Early Number Sense • Rote counting Includes: NWA, NWB, skip counting • Rational counting Leads to 1:1 correspondence with and without touch • Cardinal numbers • Subitizing group to tell how many without counting • Ordinal numbers • Measurement • Nominal numbers address, phone number, etc.
Look and Talks • What is a look and talk? • Five Little Monkeys Wash the Car • Big Books- Kindergarten Math in Focus • Use the questions from Math in Focus teacher resource book • “Math Talk” resource • Singaporemath.com • Search: Big books- teach math through nursery rhymes
Number Bonds (Part-Part Whole) • For a deep understanding… • Multiple models • Varied purposeful practice • “The Story of 4” example • Triangle fact families • http://donnayoung.org/math/tricards.htm • Hanger example • Center ideas: • Number bond bracelets • Cards w/paper clips
Addition and Subtraction • Practice addition with 10’s and 1’s chips • Without regrouping • With regrouping • Practice subtraction with 10’s and 1’s chips • Without regrouping • With regrouping • Next steps
Model Drawing Practice • K-1: #1, 2, 3 • 2-3: #2, 4, 5, 7, 8 • 4-5: #2, 4-24
How Model Drawing fits with Math Open Response Make a Statement Answer the question Show your work How did you get your answer?
The Frugal Teacher’s Tips • Put 2’s, 5’s, 8’s, 10’s, 20’s, etc. around the room. Colored tape on the floor. • Construction paper laminated with magnetic strip on the back for white board bar model practice. • Zipper: number line, thermometer, elapsed time • Clear ruler: fractions • Hundreds grids, add/mult. charts w/ colored strips • Cut notebooks in ½
Things to Remember • Clock Partner • Have you seen any good math lately? • Lesson: Actors, Narrators, Illustrators • Warm ups: • Star (like “Zap Count Around”) • Happy Hands • Math facts are to math as sight words are to reading • Stop the cycle
Resources: • Math in Focus: Great Source • Step-by-Step Model Drawing by: Char Forsten • Math Talk: Char Forsten & Torri Richards