Singapore Math Strategies

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Singapore Math Strategies
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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.

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Developing Early Number Sense

• Rote counting
• Rational counting
• Cardinal numbers
• Subitizing
• Ordinal numbers
• Measurement
• Nominal numbers

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Developing Early Number Sense

• Rote counting Includes NWA, NWB, skip
  counting
• Rational counting Leads to 11 correspondence
• with and without touch
• Cardinal numbers
• Subitizing group to tell how many without
  counting
• Ordinal numbers
• Measurement
• Nominal numbers address, phone number, etc.

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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

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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

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The Journey of a Number Bond
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Addition and Subtraction

• Practice addition with 10s and 1s chips
• Without regrouping
• With regrouping
• Practice subtraction with 10s and 1s chips
• Without regrouping
• With regrouping
• Next steps

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Multiplication and Division

• Practice Multiplication with 10s and 1s chips
• No renaming
• With renaming
• Area model for multiplication (for students with
  difficulty with traditional algorithm)
• Practice Division with 10s and 1s chips
• Short division
• Partial quotients

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Fractions

• Understanding how to add unlike fractions
• Cups
• Paper folding
• Use multiplication chart with highlighted strips
  to find LCM and equivalent fractions

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Average

• Linking cubes
• Hundreds grid

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Model Drawing Practice

• K-1 1, 2, 3
• 2-3 2, 4, 5, 7, 8
• 4-5 2, 4-24

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How Model Drawing fits with Math Open Response
Make a Statement Answer the question Show your
work How did you get your answer?
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The Frugal Teachers Tips

• Put 2s, 5s, 8s, 10s, 20s, 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

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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

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Resources

• Math in Focus Great Source
• Step-by-Step Model Drawing by Char Forsten
• Math Talk Char Forsten Torri Richards