Old dogs new math
Transcript of Old dogs new math
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Old Dogs New MathJen MaxwellMath SpecialistRyerson Elementary January 13, 2015
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Let’s take a quick survey...
How many of you enjoyed math as a child? As an adult?
How many of you are comfortable helping your elementary child with their math homework?
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What is this “new” math and how is it different from the way we were
taught?
Why Do Americans Stink at Math? New York Times July 23, 2014
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When Kids Do “Old Math”
“Insanity: Doing the same thing over and over again and expecting different results”
Albert Einstein
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Math Can Be… FUN?! How we learned... (old
math)How our children are
learning…(new math)
❖ Quiet classroom-teacher directed
❖ Students completed worksheets independently for practice
❖ Learned the rules-
“Ours is not to question why, just invert and multiply”
“Please Excuse My Dear Aunt Sally”
“FOIL”
★ more about collaboration and investigation
★ teaching methods that help children understand the underlying math
★ develops number sense★ Strategy based
BRIDGES~ 30+ “Work Place” games per school year
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Why all the “new” methods?
● HOW WHY● “Promotes confidence in what children are doing, rather than try to remember a
procedure”● “To provide maps rather than remember lists of directions”● “As children progress the mathematical ladder, all the techniques eventually join up
with what you did in school” ● “Play and curiosity are essential parts of math. If not exposed as intriguing and
enjoyable, it’s unlikely they will ever develop an appetite for it”
“Tell me and I forget. Teach me and I remember. Involve me and I learn”
- Benjamin Franklin
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Overcome Fear of Math
“Anything worth learning takes effort and math is no different.”
There IS value (honor) in getting stuck, or even getting a problem WRONG.
Allow yourself the flexibility to think. You are probably better than you think you are.
No more excuses: “I’m bad at math” does not justify remaining bad at math.
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Addition Facts: NOW
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Multiplication FactsSuggested, strategic order in which to learn basic facts:
x 10 x 5x 2x 4x 8x 9x 3x 6x 7
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How would YOU solve….
399 + 426
600 - 485
Any of these??
Number Line
Linking + to -
Decomposing
Traditional Algorithm
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How would YOU solve...
25 x 16
64 ÷ 4 = ?
Any of these??
Algorithm
Splitting
Halve & Double
Double Double
Grid Method
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It’s not the algorithm! Using the Grid Method (partial product) for Multiplication
Why is Math Different Now VimeoMath Plus Academy
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The Grid Method How does it relate to algebra?
(a + b) x (c + d)
How many of you remember FOIL? (First, Outer, Inner,
Last)
ac + ad + bc + bd
The strategies we are teaching them now will help
them make sense of the
math they will learn later!
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KINDERGARTEN
Unit A Working Through Five: Numbers to Five & Ten
Unit B Five & Ten, Do it Again! Numbers to Ten
Unit C How Much How Many? Paths to Adding, Subtracting &
Measuring
Unit D Shaping Up: Two-Dimensional Geometry
Unit E Ten and Then Some: Numbers Beyond Ten
Unit F Problems All Around Us: Weight & Place Value
GRADE 1
Unit A Numbers All Around Us
Unit B Equal: To Be or Not To Be: Developing Strategies
Unit C Leapfrogging: The Number Line
Unit D One of These Shapes Is Not Like The Others: Geometry
Unit E The Problem With Penguins: Figure the Facts
Unit F To 100 and Beyond!
GRADE 2
Unit A Figure the Facts
Unit B Climbing the Beanstalk: Place Value & Measurement
Unit C Sizing it Up! Measurement
Unit D How… is 1,000? Place Value
Unit E Name it, Make it, Shape it, Break it, Build it, Move it,
and Compare it: Geometry
Unit F The Ants Go Marching 10 by 10
GRADE 3Unit 1 Addition & Subtraction Patterns
Unit 2 Introduction to Multiplication
Unit 3 Multi-Digit Addition & Subtraction
Unit 4 Measurement & Fractions
Unit 5 Multiplication, Division & Area
Unit 6 Geometry
Unit 7 Extending Multiplication & Fractions
GRADE 4
Unit 1 Multiplicative Thinking Unit 5 Geometry &
Measurement
Unit 2 Multi-Digit Multiplication & Early Division Unit 6 Multiplication & Division, Data &
Fractions
Unit 3 Fractions & Decimals Unit 7 Patterns & Problems
Unit 4 Addition, Subtraction & Measurement
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Questions? Just ask!
Free Apps from the Math Learning Centerhttp://catalog.mathlearningcenter.org/apps
Games, parent letters, and more: http://www.mathlearningcenter.org/resources/families
Online tutorials: https://www.khanacademy.org