Talk Less, Smile More: Getting Students to Discuss and Debate Math Welcome to Day 2! Talk Less, Smile More: Getting Students to Discuss and Debate Math Chris Luzniak & Mattie Baker @PiSpeak @Stoodle

Desmos! Welcome to Day 2!

I used to think all class time should be spent on math, but now I think... I used to think you had to norm discussion before you could have a good one, but now I think well-structured prompts lead naturally to deeper culture. I used to think all class time should be spent on math, but now I think I should spend more time building community and letting kids build relationships. I used to think having a debate required a TON of planning, but now I think it can be more “off the cuff” once structure is in place. I used to think structure was constricting, but now I think structure lowers the stakes.

Lingering Questions... Management (focus, accountability, quiet students) Timing (periods, curriculum) - Instruction (introducing, good questions)

MORE on Debate!

Why Debate? Socratic Method Civics Student Centered Current Events Critical Thinking skills Questioning skills Public speaking skills Literacy skills Rhetoric skills Research skills Public Speaking skills Evidence skills Note taking skills Refutation skills Critical Pedagogy Skills Teamwork Skills And more! Civics Current Events Philosophy Critical Theory Critical Thinking Humanities Rhetoric Political Science Economics Debate Across the Curriculum – any subject area

Why Debate…in STEM? Meaningfully Engages Large Classes Danielson connections Improves Graduation Rates & College Readiness Common Core connections: CCSS.Math.Practice.MP3 Construct viable arguments and critique the reasoning of others. “students understand and use stated assumptions, definitions, and previously established results in constructing arguments…They justify their conclusions, communicate them to others, and respond to arguments of others.” “students try to communicate precisely to others…they have learned to examine claims and make explicit use of definitions.”

More Examples

Which One Doesn’t Belong?

Classwork/Proof

Classwork/Proof

QuickWrite Describe any patterns you see: 1, 3, 5, 7, 9 2, 3, 5, 7, 11 28, 21, 14, 7

Quizzes

ARGUMENT = CLAIM + WARRANT Debate #4?: Table Debates Team A: It is better to solve by breaking the shape into rectangles. Team B: It is better to solve by finding the large rectangle and subtracting the missing piece(s). ARGUMENT = CLAIM + WARRANT

How to Start

Write Questions/Problems Structure for Students

Structure for Students ARGUMENT - a statement made with sound reasoning. Every argument has two key parts: CLAIM - the controversial statement being made. WARRANT - the justification for the claim.

1. Debate-y Words Best/Worst (method, solution…) Should Biggest/Smallest/Most Weirdest/Coolest Always / Sometimes / Never Agree / Somewhat Agree / Disagree Include Variables

Make it Debatable

Graph the function

The BEST way to graph a sine function is… (For example, )

More Examples!

The square root of a number is smaller than the original number. The best way to find the slope of the line through the points in this table… X -4 -2 4 8 18 Y -5 7 13 28

Try NOW! The coordinates in black below were given (for some numbers a,b,c and d). Are her expressions for the coordinates in red correct? (2c,2d) (-a,-b) (-0.4,-1.3)

Plickers! When simplifying exponents, it is best to start with the “negative part” (Example: ) AGREE SOMEWHAT AGREE SOMEWHAT DISAGREE DISAGREE

KenKen! For a 4x4 puzzle, fill in with numbers 1-4. 3- 2÷ 9x 2 1- 5+ 4 For a 4x4 puzzle, fill in with numbers 1-4. Do not repeat a number in any row or column. The numbers in each heavily outlined set of squares, called cages, must combine (in any order) to produce the target number in the top corner of the cage using the mathematical operation indicated. Cages with just one box should be filled in with the target number in the top corner.

Take a break!

Group by what you teach... Create talking points for your class. Write some debate questions for your class. Develop the structure for discussion in your class.

Wrapping Up!

Open-Ended Feedback: - “I used to think…., but now I think…” - Burning Questions - Draw a picture to represent your thoughts - Etc. etc. etc.

Contact Us! Mattie Baker Chris Luzniak @Stoodle @PiSpeak matt.baker.83@gmail.com @Stoodle pythagoraswasanerd.wordpress.com Chris Luzniak cluzniak@gmail.com @PiSpeak clopendebate.wordpress.com