1. MATH FACTS ARE FICTION MEMORIZATION DOESN’T GENERATE KNOWLEDGE
Lloyd Goldberg
Sara Boucher

2. Use a piece of paper or add up how many you get in your head. 1.
Test Time!
You have 45 seconds
Use a piece of paper or add up how many you get in your head.

4. How our students see math...

5. How we wish our students saw math...
How we wish our students saw math...

6. Are Math Facts Important?

7. The Chicken Or The Egg? http://bit.ly/title1mathfacts
How can kids explain a process based answer if they lack the fundamental math facts to complete the problem?
Not an either or argument.
Rather a decision of where you want to focus your instructional energies, and what will ultimately create a more holistic learner able to transition between mathematical subjects.

8. Process Based Learning
You become eligible for the reaping the day you turn twelve. That year, your name is entered once. At thirteen, twice. And so on and so on until you reach the age of eighteen, the final year of eligibility, when your name goes into the pool seven times. That’s true for every citizen in all twelve districts in the entire country of Panem.
But here’s the catch. Say you are poor and starving as we were. You can opt to add your name more times in exchange for tesserae. Each tessera is worth a meager year’s supply of grain and oil for one person. You may do this for each of your family members as well. So, at the age of twelve, I had my name entered four times. Once, because I had to, and three times for tesserae for grain and oil for myself, Prim, and my mother. In fact, every year I have needed to do this. And the entries are cumulative. So now, at the age of sixteen, my name will be in the reaping twenty times. Gale, who is eighteen and has been either helping or single-handedly feeding a family of five for seven years, will have his name in forty-two times.
Show how Katniss has 20 entries and how Gale has 42.
How do you plan to solve this?

9. Probably apply facts:

10. Maybe create an algorithm:

11. Build With A Set Of Manipulatives:

12. Color Code The Process:

15. So Why Are We Doing This?

16. What Is Happening To The Kids?
What Is Happening To The Kids?
Math Anxiety
Brain Development
Gender Gap
Cognitive Dysfunction

19. How Do We Get To Math Facts? Memorization In Two Ways:
How Do We Get To Math Facts?
Memorization In Two Ways:
Raw Rehearsal
-Reciting a fact over and over
Mnemonic Devices/Artificial Tricks
-Songs
-Acronyms
-Silly Rhymes

20. How Do We Get To Math Facts? Transition To A Learning Of Facts:
How Do We Get To Math Facts?
Transition To A Learning Of Facts:
Repeated Use
-Memorization comes from usage, it relies on repetition
Building On Known Facts
-Relies on previous connections in math

21.
What separates memorization from learning is a sense of meaning. When you memorize a fact, it's arbitrary, interchangeable-it makes no difference to you whether sine of π/2 is one, zero, or a million. But when you learn a fact, it's bound to others by a web of logic. It could be no other way.
Ben Orlin

22. What Is Happening To The Kids?
What Is Happening To The Kids?
Number
Flexiblity
Individualized
Varied/
Authentic
Number
Sense
Learning-
Not Memorization
Process Based
Learning

23.
Math required more than rote learning — it required creativity, grit, and strenuous mental gymnastics
Richard Rusczyk

25.
Math is a human language just like English, Spanish, or Chinese because it allows people to communicate with each other.
Randy Palisoc

26. Additional Resources http://bit.ly/title1mathfacts TED Talks Dan Meyer
Randy Palisoc
Emily Calandrelli
Arthur Benjamin
John Bennett
Articles
Jo Boaler
Richard Rusczyk
Ben Orlin
Joanne Tsui
April Doerr

27. You can find us online at
thanks!
You can find us online at
Lloyd
@whoisgoldberg
Sara
@msgeekyteach