Transcript ARGUMENT = CLAIM + WARRANT

March 2, 2015
WELCOME!
Before we begin,
1. Write about where you see evidence of
argumentation in your math classroom.
2. Prepare an argument for (or against) these
statements for our first debate!
•The best movie is ______.
•Calculators should be required in
class.
•The most important organelle in an
animal cell is __________.
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Arguments
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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.
ARGUMENT = CLAIM + WARRANT
“My CLAIM is ___________
and my WARRANT is _____________________”
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Activity #1: Soapbox Debate
Name, Claim+Warrant
•The best movie is ______.
•Calculators should be required in class.
•The most important organelle in an animal
cell is __________.
• ___________is the best method for solving
the system: y  2 x
y  x 1
ARGUMENT = CLAIM + WARRANT
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Backing up…
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Some Introductions
Chris Luzniak
UA School for
Law & Justice
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A brief video…
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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.
ARGUMENT = CLAIM + WARRANT
“My CLAIM is ___________
and my WARRANT is _____________________”
@PiSpeak
Our Objectives:
• To see the benefits of debate in class.
• To “experience” several debate activities.
• To learn ways to introduce this in your
classroom.
• To create an activity you could use in
your classroom.
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Why Debate?
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Socratic Method
Student Centered
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!
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Civics
Current Events
Philosophy
Critical Theory
Critical Thinking
Humanities
Rhetoric
Political Science
Economics
• Debate Across the
Curriculum – any
subject area
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Why Debate
“Those 4 years in debate were the educational foundation of
everything I did…the finest education I got from any of the
institutions I attended, the foundation of my mind that I got during
those 4 years of competitive policy debate.” – John Sexton,
President of New York University and Brooklyn Debate Coach for
15 years
“Maybe you could be a mayor or a Senator or a Supreme
Court Justice, but you might not know that until you join…the
debate team.” – President Obama
“Standing up there, the faces looking up at me, the things in my
head coming out of my mouth, while my brain searched for the
next best thing to follow what I was saying, and if I could sway
them to my side by handling it right, then I had won the debate –
once my feet got wet, I was gone on debating.” – Malcolm X
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Why Debate…in STEM?
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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.”
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From Educators…
“The use of debate in my classroom has increased
the motivation and engagement of my most
apathetic students. They love the competitive nature
of debate and eagerly delve into texts that they
otherwise typically avoid.”
-Science Teacher
“Debate has inspired students to think more critically
about math’s applications in the real world…and about
the content itself.” -Math Teacher
“The work…has helped us close achievement gaps
by empowering students to believe in themselves and
push beyond [their] limits.”
-Superintendent BPS
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Oral Arguments
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Activity #1: Soapbox Debate
Name, Claim+Warrant
•The best movie is ______.
•Calculators should be required in class.
•The most important organelle in an animal
cell is __________.
• ___________is the best method for solving
the system: y  2 x
y  x 1
ARGUMENT = CLAIM + WARRANT
@PiSpeak
Activity #2: Circle Debate
Name, Summarize, Claim+Warrant
Always, Sometimes or Never?
1. Math is more important than Science.
2. Increasing surface area is the best way to
increase dissolving rates.
3. When you cut a piece off a shape, you reduce its
area and perimeter.
ARGUMENT = CLAIM + WARRANT
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Activity #3: Point. Counter-point.
Name, Claim+Warrant
Would you rather….(a) Have crayons for teeth
(b) Have spaghetti for
hair
Would you rather solve this problem…
(a) Using a proportion
“Find 45% of 80” (b) Making into a decimal
and multiplying
Would you rather… (a) Live without gravity
(b) Have your hands always
give off
ARGUMENT
= CLAIM + WARRANT
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How to Start
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1. Write DEBATEABLE Questions
• Always / Sometimes / Never
• Agree / Somewhat Agree / Disagree
• Should
• Best/Worst (method, solution…)
• Biggest/Smallest
• Most
• Weirdest/Coolest
• Variables
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Which problem shows the BEST mistake?
9
1) 3 44b c
3 4 11 b
2)
9
3  2 11  b
3
3
3
6b 11c
c
c
200 x y
2 100 x
2
x y
2
y
2
8
y
2
2  10 x x yyyy
xy
4
20 x
y
2
2. Give Structure/Sentence Starters
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Some structures…
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3. Make it exciting/personal/engaging
Q&A
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Activity #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
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Activity #4: Table Debates
Problem: sin(
11
6
)
Side A: Using a reference angle is easier than
counting around the Unit Circle because…
Side B: Counting around the Unit Circle is easier
than using a reference angle because…
ARGUMENT = CLAIM + WARRANT
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Activity #4: Table Debates
Break into groups of 4.
• Complete Table Debate in pairs
• Debrief activity in group of 4
• Create DEBATE questions/activity
on your own.
• Share out in group of 4
ARGUMENT = CLAIM + WARRANT
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More Examples
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Try NOW!
Mr. K labeled the circle below.
Do you agree with his labels?
(assume all variables are in Z)
7
15
11

10
( 2k  1)
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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)
(c, d )
(-a,-b)
(-0.4,-1.3)
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(1)Elements in __________ (solid/liquid/gas)
form make the best weapons…
(2)The most important scientific achievement
is…
(3)One organelle cells could live without is…
1.There are an infinite number of Pythagorean
triples (three numbers that work in the
Pythagorean theorem).
2. The square root of a number is always
smaller than the original number.
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Try Now:
Julie has a calculator with a special
“log” key. It is labeled LS and has no
base. She tries to take the LS of some
numbers and gets the following:
LS 3 = 0.5645750341
LS 10 = 1.183294662
LS 7 = 1
What is the LS key? Defend your answer
with a convincing warrant.
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• Using Evidence.
In the figures shown, the perimeters of the
square and equilateral triangle are 24cm.
The circumference of the circle is also 24cm.
Claim 1: The area of all three shapes is the same.
Claim 2: The area of the square is easiest to
calculate.
Claim 3: The area of the triangle is greater than the
area of the circle.
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KenKen!
3-
2÷
2
1-
5+
2÷
9x
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.
Guess
My Pattern
Falsification
2, 4, 6
10, 12, 14
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SAT Prep - Falsification
10. If a<0 and b>0, which of the
following must be true?
A) a  b  0
D) a  b  0
a
B)  0
b
E) ab  0
C) a  b  0
ARGUMENT = CLAIM + WARRANT
@PiSpeak
Create YOUR Activity
1. Think of ways you could use/adapt any of
our debate activities for a class in the next
few days.
2. Consider any modifications you would
make to the activity.
3. Prepare to share out about your activity.
ARGUMENT = CLAIM + WARRANT
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Share Out!
ARGUMENT = CLAIM + WARRANT
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Hopes & Fears
ARGUMENT = CLAIM + WARRANT
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Exit Slip
ARGUMENT = CLAIM + WARRANT
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Homework
Try one oral activity in class
in the next few weeks.
Bring in any materials/evidence if
you can.
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Contact Me
[email protected]
@PiSpeak
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