old dogs new math
TRANSCRIPT
Old Dogs New MathJen MaxwellMath SpecialistRyerson Elementary January 13, 2015
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?
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
When Kids Do “Old Math”
“Insanity: Doing the same thing over and over again and expecting different results”
Albert Einstein
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
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
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.
Addition Facts: NOW
Multiplication FactsSuggested, strategic order in which to learn basic facts:
x 10 x 5x 2x 4x 8x 9x 3x 6x 7
How would YOU solve….
399 + 426
600 - 485
Any of these??
Number Line
Linking + to -
Decomposing
Traditional Algorithm
How would YOU solve...
25 x 16
64 ÷ 4 = ?
Any of these??
Algorithm
Splitting
Halve & Double
Double Double
Grid Method
It’s not the algorithm! Using the Grid Method (partial product) for Multiplication
Why is Math Different Now VimeoMath Plus Academy
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!
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
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