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Welcome! Munch & Mingle

2nd Grade Singapore Math Training

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Page 1: 2nd Grade Singapore Math Training

Welcome!

Munch & Mingle

Page 2: 2nd Grade Singapore Math Training

K, 1, & 3 Were Awesome! 

Page 3: 2nd Grade Singapore Math Training

Agenda & Goals 

•  Review training & implementa;on plan 

•  Review Singapore Math Pedagogy 

•  Inves;gate Grade Specific Strategies 

Page 4: 2nd Grade Singapore Math Training

Math Pedagogy 

•  Concrete (manipula;ves) to  •  Pictorial (visual models or drawings) to •  Abstract representa;ons (numbers, symbols) 

Jerome Bruner’s research proved that instruc;onal strategies build understanding for students when they move from… 

Page 5: 2nd Grade Singapore Math Training

Math Pedagogy 

Richard Skemp’s research proved that for long term learning to occur rela(onal understanding is more successful than instrumental learning. 

Rela(onal Understanding  Instrumental Understanding 

Conceptual WHY before HOW One to One Correspondence Quan;;es and Values Each piece RELATES to all others 

Reading with understanding 

Procedural How Oral Coun;ng Wri;ng numbers, Spelling numbers Isolated steps or steps without meaning 

Phone;c or word calling 

Page 6: 2nd Grade Singapore Math Training

Math Pedagogy 

Zoltan Diene’s research proved that children gain the most conceptual understanding when they are exposed to a concept through a variety of materials or experiences. 

Perceptual Variability 

p!/!

q !?

"

;!

10 

Page 7: 2nd Grade Singapore Math Training

Reflec;ng On Pedagogy 

 Concrete‐Pictorial‐Abstract (Bruner)  Rela;onal Understanding (Skemp) 

 Mul;ple Representa;ons (Dienes) 

Turn and Talk:  Summarize each of these with your group. 

Page 8: 2nd Grade Singapore Math Training

Dyscalculia 

These students see numbers as fixed and solid. 

Other students see numbers as breakable. 

6,1        5,2         4,3  

Page 9: 2nd Grade Singapore Math Training

Math Strategies & Materials 

Anchor to 5.  Bonds to 5. 

Page 10: 2nd Grade Singapore Math Training

Composing Numbers 

Page 11: 2nd Grade Singapore Math Training

Math Strategies & Materials 

Anchor to 10.  Bonds to 10. 

Page 12: 2nd Grade Singapore Math Training

Grade 1 Math in Focus 

Numbers to 10…………………….9 days Number Bonds to 10……………6 days 

Addi;on Facts to 10……..……..9 days 

Subtrac;on Facts to 10……..…9 days 

Ordinal Numbers to 10…..……7 days 

                                                     40 days 

Page 13: 2nd Grade Singapore Math Training

Number Bonds 

Page 14: 2nd Grade Singapore Math Training

Composing& Decomposing Numbers 

Page 15: 2nd Grade Singapore Math Training

Composing & Decomposing Numbers 

V! C!

Page 16: 2nd Grade Singapore Math Training

Composing& Decomposing Numbers 

Page 17: 2nd Grade Singapore Math Training

Composing& Decomposing Numbers 

Page 18: 2nd Grade Singapore Math Training

Grade 1 Math in Focus 

Numbers to 20…………………..….9 days Add. & Sub. Facts to 20……..….6 days 

                                                     15 days 

Page 19: 2nd Grade Singapore Math Training
Page 20: 2nd Grade Singapore Math Training
Page 21: 2nd Grade Singapore Math Training
Page 22: 2nd Grade Singapore Math Training

Using Base Ten Blocks to Show Place Value 

Page 23: 2nd Grade Singapore Math Training

Place Value for Addi;on & Subtrac;on 

Page 24: 2nd Grade Singapore Math Training

Place Value Strips 

Page 25: 2nd Grade Singapore Math Training

Distribu;ve Method: Addi;on 

Using Place Value for Rela;onal Understanding 64 + 28 = 

Tens    +   Ones 

(60 + 20) + (4+8) = 

80 + 12 = 92 

Page 26: 2nd Grade Singapore Math Training

Branching Method: Addi;on 

Using Number Bonds for Rela;onal Understanding 64 + 28 = 

                                   62   2   

62 + 30 = 92