Singapore Math Singapore Math StrategiesStrategies

Covering vs. Covering vs. ConceptualizingConceptualizingRecognitionModelingIndependent

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 Developing Early Number SenseSense

Rote countingRational countingCardinal numbersSubitizingOrdinal numbersMeasurementNominal numbers

Developing Early Number Developing Early Number SenseSense

Rote counting Includes: NWA, NWB, skip counting

Rational counting Leads to 1:1 correspondence

with and without touch

Cardinal numbersSubitizing group to tell how many without

counting

Ordinal numbersMeasurementNominal numbers address, phone number,

etc.

Look and TalksLook and TalksWhat is a look and talk?Five Little Monkeys Wash the CarBig Books- Kindergarten Math in

Focus◦Use the questions from Math in Focus

teacher resource book“Math Talk” resourceSingaporemath.com

◦Search: Big books- teach math through nursery rhymes

Number Bonds (Part-Part Number Bonds (Part-Part Whole)Whole)For a deep understanding…

◦Multiple models◦Varied purposeful practice

“The Story of 4” exampleTriangle fact families

◦http://donnayoung.org/math/tricards.htm

Hanger exampleCenter ideas:

◦Number bond bracelets◦Cards w/paper clips

The Journey of a Number The Journey of a Number BondBond

Addition and SubtractionAddition and SubtractionPractice 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 PracticeModel Drawing PracticeK-1: #1, 2, 32-3: #2, 4, 5, 7, 84-5: #2, 4-24

How Model Drawing fits with How Model Drawing fits with Math Open ResponseMath Open Response

Make a StatementAnswer the questionShow your workHow did you get your answer?

The Frugal Teacher’s TipsThe Frugal Teacher’s TipsPut 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: fractionsHundreds grids, add/mult. charts w/

colored stripsCut notebooks in ½

Things to RememberThings to RememberClock PartnerHave you seen any good math

lately? Lesson: Actors, Narrators,

IllustratorsWarm ups:

◦Star (like “Zap Count Around”)◦Happy Hands

Math facts are to math as sight words are to reading

Stop the cycle

Resources:Resources:Math in Focus: Great SourceStep-by-Step Model Drawing by:

Char ForstenMath Talk: Char Forsten & Torri

Richards