MATH FACTS ARE FICTION MEMORIZATION DOESN’T GENERATE KNOWLEDGE Lloyd Goldberg Sara Boucher http://bit.ly/title1mathfacts

Use a piece of paper or add up how many you get in your head. http://bit.ly/title1mathfacts 1. Test Time! You have 45 seconds Use a piece of paper or add up how many you get in your head.

How our students see math...

How we wish our students saw math... http://bit.ly/title1mathfacts How we wish our students saw math...

Are Math Facts Important?

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.

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?

Probably apply facts:

Maybe create an algorithm: http://bit.ly/title1mathfacts

Build With A Set Of Manipulatives:

Color Code The Process: http://bit.ly/title1mathfacts

So Why Are We Doing This?

What Is Happening To The Kids? http://bit.ly/title1mathfacts What Is Happening To The Kids? Math Anxiety Brain Development Gender Gap Cognitive Dysfunction

How Do We Get To Math Facts? Memorization In Two Ways: http://bit.ly/title1mathfacts 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

How Do We Get To Math Facts? Transition To A Learning Of Facts: http://bit.ly/title1mathfacts 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

http://bit.ly/title1mathfacts 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

What Is Happening To The Kids? http://bit.ly/title1mathfacts What Is Happening To The Kids? Number Flexiblity Individualized Varied/ Authentic Number Sense Learning- Not Memorization Process Based Learning

http://bit.ly/title1mathfacts Math required more than rote learning — it required creativity, grit, and strenuous mental gymnastics Richard Rusczyk

http://bit.ly/title1mathfacts Math is a human language just like English, Spanish, or Chinese because it allows people to communicate with each other. Randy Palisoc

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 https://www.flocabulary.com/titlei2016/

You can find us online at http://bit.ly/title1mathfacts thanks! You can find us online at Lloyd ljgoldberg@interact.ccsd.net @whoisgoldberg Sara msgeekyteach@gmail.com @msgeekyteach