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7/31/2019 Bridgeport Presentation
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Houghton Mifflin Harcourt
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Why Math In Focus
Key Instructional Strategies
Implementation of Math in Focus
Technology
Bar Modeling
PB 2
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Why Math in
Focus?Understanding
SingaporesMethodology
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Because the mathematics concepts in U.S. textbooks areoften weak, the presentation becomes more mechanicalthan is ideal. We looked at both traditional and non-traditional textbooks used in the U.S. and found this
conceptual weakness in both.
Ginsberg et. al.
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Top Scoring Nation for
15 years!
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Why Math inFocus?
UnderstandingSingapores
MethodologyShare one fact
with your neighbor!
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Key Instructional
Strategies:Essential tools
for instruction
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Key Instructional Strategies:
Visualization
MathAs
Thinking
p. 19
Concrete-Pictorial-Abstract Pedagogy
3+ 1= 4
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whole
Number Bonds
Base Ten BlocksTen Frames
Place Value Disks
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5
4 1
9 + 5 =
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Whole
PartPart
Concrete -> Pictorial -> Abstract
Number Bonds
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How many mathematical concepts can be taught
with these tools and models?
Concrete -> Pictorial -> Abstract
Math Balance & Number Bonds
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You made some cupcakes. After your dad eats afew, you have 15 left.
Then your brother and his friends come in and eat 8
of them!Build 15 using ten frames. Then take 8 away.
Lets Try It!
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Concrete -> Pictorial -> Abstract
Base Ten Blocks
1. Build 1432. Build 813. Add them together
Second Grade Addition
Numbers are adjectives!
Notice systematic variation in problem sets!
PB
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Part Part
Comparison
EqualParts
PB 21Bar Models
What operations could go with each?
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Show relationships pictorially
Illustrate the known and unknown
Make writing the equations easier
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Bar Modeling
Starts inSecond Grade!
PB
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Kevin scores 78 points in the first game he bowls. He scores85 points in the second game. How many points does Kevinscore for both games?
Jordan and Ling have 472 trading cards. Ling has 178 trading
cards. How many trading cards does Jordan have?
PB 22
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MathAs
Thinking
Arrange digits 1-6 to
create sums of 10 on
each side of the triangle.
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Key InstructionalStrategies:
Essential tools for instruction!Share one fact about eachstrategy with your neighbor!
( C.P.A., Visualization, Math as Thinking)
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Implementation
of Math in Focusin our classrooms
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Imple
menta
tionGu
ide
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Book A & B (teacher and student edition)
Workbook A & B
p. 6,7
p. 4
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Struggling On-Level Advanced
Reteach Extra Practice Enrichment
Components for Differentiation
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AdditionalProgram Components
PB 6PB 6
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DirectInstruction
GuidedPractice
IndependentPractice
PB 6PB 6
Lesson Structure
Gradual ReleaseOngoing Assessment
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p.19p.21. 22Technology
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www.hmhelearning.com
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Implementation
of Math in Focusin our classrooms
Share one fact withyour neighbor!
Learning Outcomes
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Learning Outcomes
Understand and Use the SingaporePhilosophya Focused, Coherent Curriculum
Experience Key Instructional Strategies CPA,Visualization, Math and Math as Thinking
Appreciate the Math in Focus ResourcesMathComponents, Manipulatives, and Technology