Tuscan/Jefferson Math Parent Nights Nov. 2013
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Welcome! Try a Grade 3 Problem…
• Lisa has 780 grams of dried peas. She uses 330 grams to make pea soup. Then she packs the remaining peas equally into 5 bags. What is the mass of each bag of peas?
• Kyle bikes for 4 hours and 30 minutes. Joey bikes for 2 hours and 50 minutes. How much longer did Kyle bike than Joey?
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Math Instruc,onal Blocks and Minutes
K-‐1
2-‐5
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Daily Math InstrucOon
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• Concrete (manipulaOves) to • Pictorial (visual models or drawings) to • Abstract representaOons (numbers, symbols)
Jerome Bruner’s research proved that instrucOonal strategies build understanding for students when they move from…
Singapore Math Pedagogy: C-‐P-‐A
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Singapore Math Pedagogy: Perceptual Variability
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.
p!q !
G3_WB_Ch_08(New).indd 153 12/17/08 6:11:40 PM
158 Chapter 6 Fractions and Mixed Numbers
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Example
Use a model to help you answer each question.
What is 23 of 18?
3 units
1 unit
18
? 2 units
So, 23 of 18 ! .
4. What is 34 of 16?
4 units Model:
1 unit
?
3 units
So, 34 of 16 ! .
5. What is 25 of 25?
units Model:
1 unit
units
So, 25 of 25 ! .
186
12
12
4A WB Chapter 06N.indd 1584A WB Chapter 06N.indd 158 12/22/08 8:52:54 AM12/22/08 8:52:54 AM
600 500
600
G3A_WB_Ch_02.indd 27 12/9/09 11:31:16 AM
144 Chapter 6 Fractions and Mixed Numbers
© 2
009
Mar
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Write the correct mixed number in each box.
12.
0 1 17
17
27
37
47
57
67 1 1 2
7 1 67 2 2 1
7 2 47 3
Write a mixed number for each item.
13. The pears have a weight of
pounds.
14. The worm started crawling from 0 centimeters.
It has crawled centimeters.
4A WB Chapter 06N.indd 1444A WB Chapter 06N.indd 144 12/22/08 8:52:52 AM12/22/08 8:52:52 AM
4 6 24
G3_WB_Ch_06(New).indd 97 12/17/08 6:06:55 PM
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Richard Skemp’s research proved that for long term learning to occur rela,onal understanding is more successful than procedural learning.
Singapore Math Pedagogy: RelaOonal Understanding
Part-‐Whole
Mental Math
Decomposing
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Math Instruc,onal Blocks and Minutes
K-‐1
2-‐5
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Assessment Iden,fy skill needs and mastery
Tasks Select tasks that target student needs
Monitor Measure student progress
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Individualized Math
Instruction
Problem Solving
Technology Prac,ce
Small Group Instruc,on
Learning Tasks Or Games
Monitoring
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At Home Grade Sept-‐Oct. Math in Focus/WriMen ST Math
K CounOng Games Math in Focus Games Hands On Review Tasks
15 minutes per week
1 Number Sense Games
Math in Focus Games Hands On Review Tasks
20-‐40 minutes per week
2 Add/Subtract Facts to 20
2-‐3 MIF Worksheets per Chapter 40-‐60 minutes per week
3 Add/Subtract Facts to 20 Mult 2,3, 4, 5, 10
In MIF Textbook Chapter Review (several days) OpOonal “Put on Your Thinking Cap”
45-‐60+ minutes per week
4 Mult. & Div Facts to 10
In MIF Textbook Chapter Review (several days) OpOonal “Put on Your Thinking Cap”
45-‐60+ minutes per week
5 Mult & Div Facts to 12
In MIF Textbook Chapter Review (several days) OpOonal “Put on Your Thinking Cap”
45-‐60+ minutes per week
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Singapore Math Pedagogy: Perceptual Variability
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.
p!q !
600 500
600
G3A_WB_Ch_02.indd 27 12/9/09 11:31:16 AM
G3_WB_Ch_08(New).indd 153 12/17/08 6:11:40 PM
158 Chapter 6 Fractions and Mixed Numbers
© 2
009
Mar
shal
l Cav
endi
sh In
tern
atio
nal (
Sing
apor
e) P
rivat
e Li
mite
d
Example
Use a model to help you answer each question.
What is 23 of 18?
3 units
1 unit
18
? 2 units
So, 23 of 18 ! .
4. What is 34 of 16?
4 units Model:
1 unit
?
3 units
So, 34 of 16 ! .
5. What is 25 of 25?
units Model:
1 unit
units
So, 25 of 25 ! .
186
12
12
4A WB Chapter 06N.indd 1584A WB Chapter 06N.indd 158 12/22/08 8:52:54 AM12/22/08 8:52:54 AM
144 Chapter 6 Fractions and Mixed Numbers
© 2
009
Mar
shal
l Cav
endi
sh In
tern
atio
nal (
Sing
apor
e) P
rivat
e Li
mite
d
Write the correct mixed number in each box.
12.
0 1 17
17
27
37
47
57
67 1 1 2
7 1 67 2 2 1
7 2 47 3
Write a mixed number for each item.
13. The pears have a weight of
pounds.
14. The worm started crawling from 0 centimeters.
It has crawled centimeters.
4A WB Chapter 06N.indd 1444A WB Chapter 06N.indd 144 12/22/08 8:52:52 AM12/22/08 8:52:52 AM
4 6 24
G3_WB_Ch_06(New).indd 97 12/17/08 6:06:55 PM
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Internet Resources Kimberly Beane’s Singapore Math LiveBinder
hjp://www.livebinders.com/play/play?id=132843 Or go to livebinders.com and search kbeane
Kimberly Beane’s PresentaOons and Trainings hjp://www.slideshare.net/KimberlyBeane/presentaOons
ST Math InformaOon & Research
hjp://www.mindresearch.net/
Bar Model PracOce hjp://www.thinkingblocks.com/
Singapore Math Materials
hjp://www.singaporemath.com hjp://www.crystalspringsbooks.com (search math)
Math in Focus (Houghton Mifflin-‐Harcourt)
hjp://www.hmhco.com/shop/educaOon-‐curriculum/math/math-‐in-‐focus-‐singapore-‐math#sthash.FQFua8I0.OR8qH61B.dpbs