AMATYC Ignite 2017 1st Half

What is an SRL?
Karen Gaines – St. Louis Community College
AMATYC SRL Coordinator
2017

What in the world could
SRL
stand for?!
Be the first to guess
and win a T-shirt!
2017

Answering life’s great questions

What is the
Meaning of Life?
Where is Waldo?

Who Framed
Roger Rabbit?
When will then be
now?

Why do birds
suddenly appear?
How many roads
must a man walk
down before you can
call him man?

What?
Competition held in spring of each year.
Nine days to research and solve a
Challenge Problem.

Modeled after Moody’s Mega Math
Challenge
•National Park – Sea level & coastal
changes
•Recycling – How much plastic/best
recycling methods
•Higher Education – Cost versus reward

Components?
• Challenge Problem
• Job/Career Research
• Mathematical Tools (Model)
• Thesis Defense

Who?
Each student is eligible to compete if s/he
has not earned a two-year degree (or
higher) or if s/he has not achieved junior
standing (or higher) at a four-year
institution. Part-time students are eligible.

Level?
PreCalculus and beyond
How?
•Registration Fee or Institutional Membership
•Faculty Mentor (team of 1 or 2 students)

Judging?
Holly Ashton – Thesis Defense Coordinator
Entries judged by a team of STEM
professionals

Why?
To encourage research problem solving
and to motivate an interest in
extracurricular mathematics activities
To provide an outlet for two-year college
students wishing to compete in
mathematical research contests.

To reward outstanding student research
problem-solvers through a scholarship and
prizes to be given to the top participants
To recognize colleges with outstanding
mathematics students through national
awards

Prizes?
• $1500 Grand Prize
• Certificates and Plaques
• AMATYC Sponsored
• Exploring other sponsors for more prize
money

More Information:
AMATYC.org
Student Research League Tab
Contact Karen Gaines -
Coordinator
SRL@amatyc.org
Get your team(s) ready
for the inaugural
competition
April 7-15, 2018

ADD
IT
UP…Colleen Babilya
2017

Take the problem
500 - 499
Couldn’t you just say
add up … so that the
answer is 1?
2017

So you can make this look
like…
500 501
- 499 - 500
1
2017

Now let’s play with
fractions, everyone’s
favorite.
2017

Have your students
been frustrated when
subtracting mixed
numbers when you
have to regroup
(borrow)?
2017

Here’s the question:
Which way do you teach?
First let’s get common denominators,
and adjust numerators.
4
3
2
8
3
7 
2017

Regroup or Improper?
๏ Regroup ๏ Improper
8
6
2
8
3
7
8
6
2
8
11
6
8
6
2
8
3
7
8
22
8
59
2017

To give us…
So, do your students look like this?
8
5
4
2017

Hold on. Let’s use number
sense. Why don’t we simply
subtract the next whole
number?
2017

Make 6/8 = 1 by adding 2/8, and be fair add
2/8 to top fraction.
8
6
2
8
3
7
3
8
3
7
3
8
5
7
2017

Holy cow, show me another!
2017

becomes25
15
200
25
11
836
201
25
21
836
2017

becomes
635 21/25
25
15
200
25
11
836
201
25
21
836
2017

I SEE YOU
in I. C. U.
2017 @lukeselfwalker
Luke Walsh
Catawba Valley CC
Hickory, North Carolina
NCMATYC President
#IseeYouICU

#IseeYouICU
I SEE YOU
I SEE YOU
I SEE YOU

#IseeYouICU

#IseeYouICU
VALUE THEOREM
POINTS
CALCULUS

#IseeYouICU
NON STEM
CALCULUS

#IseeYouICU
CALCULUS

#IseeYouICU
C C C C C
C C C C C
C C C C C
C C C C C
C C C C C
THE GREAT WALL
OF CALCULUS

#IseeYouICU
https://www.desmos.com/calculator/qzgaskpvvs
NO, I did not graph this. Did a STEM student?

#IseeYouICU
WHAT IS MATH?
CALC
ULUS

#IseeYouICU
Intensive
Calculus
Unit

#IseeYouICU
1. Precalculus Alegebra
2. Precalculus Trigonometry
3. Calculus I
4. Calculus II
5. Differential Equations (Calc 2.5)
6. Calculus III
7. Introduction to Analysis
8. Analysis I
9. Analysis II
I.C.U. – Intensive Calculus Unit

#IseeYouICU
I. C. U.
I. C. U.
I. C. U.

#IseeYouICU
1. Precalculus Alegebra
2. Precalculus Trigonometry
3. Calculus I
4. Calculus II
5. Differential Equations (Calc 2.5)
6. Calculus III
7. Introduction to Analysis
8. Analysis I
9. Analysis II
I.C.U. – Intensive Calculus Unit
Casting out 9’s
https://en.wikipedia.org/wiki/Casting_out_nines

#IseeYouICU
CALCULUS
MA
TH

#IseeYouICU
I.C.U.
S.T.E.M.
Good
idea?

#IseeYouICU
S.T.E.M. IS FILLED
WITH
HIDDEN FIGURES
Mary
Jackson
Katherine
Johnson
Dorothy
Vaughn
http://www.news.gatech.edu/features/film-figures

#IseeYouICU
CALC
d
U-LESS

#IseeYouICU
JUST US
IN

Websites and
Programs You Need
To Know
Rob Eby
Blinn College – Bryan Campus
jeby @ blinn.edu
@robebymathdude
http://robebymathdude.blogspot.com/
2017

Online Homework?
mymathgenius.com
noneedtostudy.com/myclass/
paymetodoyourhomework.com
wedoyourpearsonlab.com
boostmygrade.com
2017

Youtube sites
๏ Kahn academy
๏ Minute Math
๏ That tutor guy
๏ GVSU youtube site
2017

2017
Cymath.com
Solve by completing the
square:

2017
Wolframalpha.com
Find the sum of the
following series:

2017
Symbolab.com
Factor the following

2017
Symbolab continued
Find the derivative of
the given function,
where r and c are
constants

So What Do We Do?
2017
Robert Matthew Van Winkle known
professionally as Vanilla Ice

Twitter
๏ Tweetdeck – plugin for chrome
๏ Follow people and search hashtags
๏ #AMATYC
Are these parallel?
H/T Dan Allen
@allenmath
2017

Read Blogs
๏feedly – blogs
๏Maria Anderson
๏Write your own blog
2017

Writing Projects
๏ Big capstone semester writing
projects!
๏ Lots of smaller projects.
๏ Weekly memos.
๏ Minute paper.
๏ One thing you didn’t understand
๏ One thing you remember from last
week.
2017

Problem and
Topic Resources
๏ undergroundmathematics.org
๏ Mathquest
๏ MAA bookstore
๏ Dynamic Paper - NCTM
2017

Clickers
๏Kahoot
๏poll anywhere
๏Bring Your Own Devices
๏Plickers
2017

Clickers 2
๏ Tons of sites out there.
๏ Use them often for students to
see value.
๏ Use them to generate
discussion.
๏ Yes, you lose face time
๏ deal with it.
2017

Math Teacher Tools
๏ Netlogo – 100’s of simulations
๏ desmos
๏ Geogebra
๏ Fooplot – polar and rectangular
together!
๏ Media – document convert
๏ Camscanner
2017

Project Based Learning (PBL)
๏ Key Knowledge and Understanding
๏ Challenging Problem or Question -
๏ Sustained Inquiry -
๏ Authenticity -
๏ Student Voice & Choice
๏ Reflection -
๏ Critique & Revision -
2017

PBL
๏ Don’t Re-Invent the Wheel
๏ This is a sharing community
that will help you get started.
๏ Start small. No really.
๏ In fact, pick one topic for one
class to start with.
2017

๏ Inquiry Based Learning
๏ Generally smaller open ended
problems that students explore to
“discover” concepts and ideas
๏ It takes time to craft the problems
and activities, so get help.
2017

IBL 2
๏ JIBLM - Journal of Inquiry Based
Learning for Mathematics
๏ Art of Mathematics
๏ Dan Meyer
๏ Open Middle
2017

Become a More–seene
PRIME professor
2017
Rob Eby
Blinn College – Bryan Campus
jeby @ blinn.edu
@robebymathdude
robebymathdude.blogspot.com/

Mathematical Tidbits You
Just Can’t Live Without
Or …
Suggested Mathematical
Pick Up Lines for Jon Oaks
2017
Jane Tanner
Onondaga Community College

2017
https://www.youtube.com/watch?v=CQlj7N
7Rbhs&list=PLufObkSlzUUU4oKivkiwchX
BRfAzQXpcu&index=17

2017
Several interesting tidbits
about the number

A number is a McNugget
number if you can buy boxes of
McNuggets to obtain exactly
that number.
43 is the largest non-McNugget
number.
2017

Any Big Bang Theory fans out
there?
Sheldon does 43 consecutive
hits with a Hacky Sack.
2017

Augustus De
Morgan was 43
years old in the
year 432
.
So was Elizabeth
Barrett Browning
and anyone else
born in 1806.
2017

Have you seen Kris
McCoy's Pointless
Math Fact of the Day
on Facebook?
2017

February 24...
224 is the sum of four
consecutive cubes.
224 = 2³ + 3³ + 4³ + 5³
225 is the sum of five
consecutive cubes.
225 = 1³ + 2³ + 3³ + 4³ + 5³
2017

February 26... 226 is a happy
number.
To determine if a number is
happy, square each of the
digits and add them together.
With the result, reiterate the
process until you enter a loop.
If your looping value is a 1,
your number is happy.
2017

226 --> 2²+2²+6² = 44
44 --> 4²+4² = 32
32 --> 3²+2² = 13
13 --> 1²+3² = 10
10 --> 1²+0² = 1
1 --> 1² = 1
Begins looping at 1, therefore,
226 is a happy number!
2017

How many of you out there
are still figuring out whether
today – 1110 – is happy?
2017
Another interesting
tidbit: There are
143 happy numbers
up to and including
1000

2017
Other tidbits:
If you write out pi to two
decimal places, backwards it
spells “pie”.
https://www.buzzfeed.com/kellyoakes/maths
-facts-youll-probably-never-need-to-
use?utm_term=.kmVmE1mY9o#.xybAQ7Aryj

2017
111,111,111 × 111,111,111 =
12,345,678,987,654,321

10! seconds is exactly
6 weeks
2017

Secret To Remembering
The Digits In Pi
2017

2017
Take any 3 digit number and
multiply it by 7 then by 11
and then by 13.
I can give you the answer!

You must be the square root
of -1 because you can’t be
real.
If I were sin2
𝑥 and you were
cos2
𝑥, together we'd be
ONE!
2017
Jon Oaks was not harmed in the making
of this slideshow. He will wow you with
tacos later!

2017
Speaker: Tuyetdong Phan-Yamada
CSU Los Angeles

2017
Polar CoordinatesRectangular Coordinates
x = r(t)cos(t)
y = r(t)sin(t)
POLAR CURVES
where r(t) = 2cos(2t)

2017
The number of petals is the same as the
coefficient of the angle.
What is the polar equation for a rose curve with
number of petals equal to two times an odd
number?

2017
r(t) =1+ 2cos(it)
The number of petals is i.
If i is odd, small loops are inside the petals.
If i is even, small loops are outside the petals.

2017
How does it look like
in polar coordinates?
Rectangular Coordinates

2017
STUDENTS’ WORK
r(t)=2.7+4.4cos(76t)+3.2sin(73.5t)
0≤ t ≤ 2π
Carina Kaainoa
r(q )= 5+ 4.6cosq +1.4 sin3
(9q )

2017
y = (a-b)sint -bsin(
a-b
b
t)
A hypocycloid is a curve traced out by a point A
on one (red) circle (B, b)
as it rolls around another fixed (green) circle (O, a).
x = (a-b)cost +bcos
a-b
b
t
æ
è
ç
ö
ø
÷

2017
The Meaning of b/a
If we simplify b/a=r/s, then
s is the number of cusps of the hypocycloids.
2πr is the period of the hypocycloids
b: radius of the red circle
a: radius of the green circle

2017
If b<0 or b>a, it is an epicycloid.
x = (a+c)cost -ccos(
a+c
c
t)
y = (a+c)sint -csin(
a+c
c
t)
y = (a-b)sint -bsin(
a-b
b
t)
Epicycloid
Hypocycloid
x = (a-b)cost +bcos
a-b
b
t
æ
è
ç
ö
ø
÷
An Epicycloid is a Hypocycloid.

2017
The Double Generation Theorem
If b’/a=r’/s, b/a=r/s and r’+ r =s, then they generate
the same graph but their directions are reversed.
These are called circulant graphs.

2017
Simple Hypo/Epicycloids
NON-SIMPLE HYPO/EPICYCLOIDS

2017
Hypotrochoids
x = (a-b)cost + dcos
a-b
b
t
æ
è
ç
ö
ø
÷
y = (a-b)sint - dsin
a-b
b
t
æ
è
ç
ö
ø
÷
0<b<a, d is the distance from B to A.

2017
Epitrochoids
x = (a+ b)cost - d cos
a +b
b
t
æ
è
ç
ö
ø
÷
y = (a+b)sint - dsin
a+ b
b
t
æ
è
ç
ö
ø
÷
An epitrochoid is a hypotrochoid with b<0 or b>a

2017
Epitrochoids
Motion of Jupiter (in the middle loop) vs Epitrochoids

2017
Polar Curves
For any hypotrochoids [a,b,d,t], if d=a-b, it is a polar curve.
n =
s
2r -s
=
a
2b- a
Rose Curves
ROSETTES

2017
Some “3D look” Polar Curves
R(t)=0.39 cos(3.48t)+1.89 sin(1.62t)
r(t)=1.7+1.55cos(7.02t)+2.8sin(t)
0 ≤ θ ≤ 50π
r(t)=2.7+4.4cos(76t)+3.2sin(
73.5t)
0≤ t ≤ 2π

2017
References
1. T. Phan-Yamada and E. Gwin "Hypocycloids and
Hypotrochoids," AMATYC Journal, 09/2014
2. T. Phan-Yamada, W. Yamada III, "Exploring Polar Curves with
GeoGebra," Mathematics Teacher, 10/2012
Website: phan-yamada.weebly.com
Email: tphanya3@calstatela.edu

Helen Burn, Ph.D.
Instructor, Department of Mathematics
Director, Curriculum Research Group
Highline College, Des Moines, WA
2017
The Gender Variable
in Statistics

2017
Helen Burn, Ph.D.
Instructor, Department of Mathematics
Director, Curriculum Research Group
Highline College, Des Moines, WA
The Gender Variable
in Statistics

2017
Educational Attainment of Asian American
students

2017
Challenge the “binary” gender categories
Reconsider this dichotomous variable

2017
Don’t throw the baby out with the bathwater

2017
New Highline College admissions question
What is your gender identity?
๏ Feminine
๏ Masculine
๏ Androgynous
๏ Gender Neutral
๏ Transgender
๏ Other
๏ Prefer not to answer

2017
Math 146: Introduction to Statistics
1st day survey (~6 to 7 questions)
1. What is your ideal salary upon graduation?
2. “I like math” 1 – strongly disagree. . . 4 –
strongly agree
. . .
3. What is your gender (Male/Female)

2017
1st day activity: Describe your group
Pick “interesting variables”
Avoid:
Eye color
Age
Race/ethnicity
Gender

2017
Student upset over use of
Male/Female on survey question
Male/Female versus Man/Woman
Which is appropriate to use?
American Psychological Association (2011)
http://www.apa.org/pi/lgbt/resources/sexuality-definitions.pdf
Sex, gender, gender identity, gender expression, sexual orientation

2017
Biological Sex
sex chromosomes
physical characteristics
๏ Male
๏ Female
๏ Intersex

2017
Gender Identity
Internal perception of an individual’s gender
how they label themselves
๏ Man
๏ Woman
๏ Transgender
๏ Genderqueer/Genderfluid
๏ Two-spirit

2017
Address it with your students
๏ Biological Sex versus Gender Identity
๏ Male/Female Man/Woman
๏ Sex, gender, gender identity, gender
expression, sexual orientation

2017
Data is typically disaggregated by
gender identity

2017
Explore the question of gender identity
differently….

2017
Thank you!
Questions or comments?
Helen Burn
hburn@highline.edu

A Funeral for
Aunt Sally
A glimpse into the minds of
arithmetic students
2017
Aaron Altose
Cuyahoga Community College

Please Excuse My Dear
Aunt Sally
2017

Pardon Everyone, My Dog
Always Smells
2017

Food, Glorious Food!
๏ Pancakes, Eggs, Muffins, Donuts, Apples,
and Sausages
๏ Picky Eaters Must Devour Anything
Suitable
๏ Pigs Eat Mud, Dirt, And Slop
2017

๏ Pick Edible Mushrooms Daily After Supper
๏ Python Eggs Make Delicious Afternoon
Snacks
2017

๏ Paul Eats Monkey Dung And Soda
๏ People Eat Mayonnaise
During a Storm
2017

๏ People Enter McDonald’s Desperate and
Starving
๏ Pickles Expire Monday Down at Subway
๏ Prior (to) Eating Mc Donald’s, Ask
Somebody
2017

๏ Prince Edward Makes Delicious Antipasto
Salad
๏ Paul Emailed Me: "Dinner At Seven!"
2017

Keep the Faith
2017
๏ Pray Every Morning. Dance And Shout!
๏ Praying Eases My Day And Soul

Keep the Faith
2017
๏ Prayer Effects My Destiny And Skills
๏ Praise Every Mom, Dad, and Sister

Love and Dating
๏ Practice Efficient Manners. Don’t Always
Swear.
๏ Proper Etiquette Makes Dates A Success
๏ Pleasantly Endearing Men Don't Always
Smile
2017

Love and Dating
๏ Push Every Man Down A Slope
๏ Physical Exertion May Develop Arm Sores
2017

Love and Dating
๏ Pitifully Eager Molly Dates Another Stalker
2017

Love and Dating
๏ Pompous English Monarch Divorces
American Starlet
2017

Math and Mental Heath
2017
๏ Problematic Exams May Destroy A
Student
๏ People Experience Mental Disorders And
Symptoms
๏ Please Enjoy Math, Don’t Act Sad

Current Events
๏ Please Excuse Michael (Jackson)
Demerol Accidental Suicide
- (Summer 2009)
2017

There’s More to the Story…
2017
๏ Privately Enter My Darling’s Attic Safely
๏ Pointing East Might Direct A Sailor

There’s More to the Story…
2017
๏ Pianos Entertain Men, Dames, and
Scoundrels

Keep it Real
๏ Parents Eventually Make Donations At
School
2017

Keep it Real
2017
๏ Place Extra Money Down Arrow Slot

Pat Riley – Hopkinsville
Community College (KY)
A Tribute to
KYMATYC
Legend:
Taylor Johnson
2017

2017
q
cos 𝜃 = 1 − 𝑀, sin 𝜃 = 2𝑀 − 𝑀2
Area of blue sector =
2𝜃
2
= cos−1 1 − 𝑀
Area of blue triangle = 2
sin 𝜃 cos 𝜃
2
= 1 − 𝑀 2𝑀 − 𝑀2

Fast Factoring
Taylor Johnson
Elizabethtown Community
Technical College
2017

2017
Problem 2
2x2 + 11x + 9 Product: 18 pos
Sum: 11 + 0
10 + 1
2x2 + 2x + 9x + 9 9 + 2
+ 9)( x + 1 )
(2x + 9)( x + 1 )

2017
Problem 12
13x2 + 196x + 480
Product: 13 * 12 * 40 pos
(Find a factor of 10)
Sum: 196 + 0
186 + 10
176 + 20
166 + 30
156 + 40
13x2 + 156x + 40x + 480
+ 40) (x + 12)
(13x + 40) (x + 12)

Inspirational Quotes
2017
Do people who believe in the
intrinsic worth of the world and
its creatures
have the same knowledge
as people who recognize only
the market value or market
segments?

2017
The KYMATYC
Executive Board has
agreed to honor
Taylor Johnson for
his many years of
passion, humor, and
enthusiasm…..

2017
…with the
TAYLOR JOHNSON
IGNITION TROPHY
for the best Ignite
presentation.

A Stroke of Genius
– Methods from
one of the greatest
teachers of all time.
2017
Scott McClendon

When thinking of the
greatest teachers, who
comes to mind?
2017

Huh?!
๏ Popular?
- His show ran from from 1983 to 1994 and
still air in reruns to this day.
- YouTube Subs – 834,390
- His top 12 YouTube videos have a combine
26.2 million views in the last two years.
- Even has his own epic rap battle.

At least 90% of viewers do
not paint along with Bob.
Ever.
๏ Bob's soothing tones welcomed
latchkey kids and his cathartic creativity
comforted the homebound. For many,
the Joy of Painting is a respite from the
negativity and din of regular television
programming. The Joy of Painting is an
alternate quiet place of happy clouds
and trees.

So, how is this a talk?
๏ Bob is an artist but also an art teacher.
๏ His teaching style is still reaching millions
through YouTube and Bob Ross certified
instructors.
๏ 1500 Bob Ross Instructors hold a
workshop everyday!
๏ 1500x365=547,500 workshops annually

How is his teaching style
still relevant 30 years later?
๏ Windy Waves – Season 14
Episode 7
๏ Watched and rewatched it
purely from a teaching
perspective

๏ Positive attitude
- Easy – 9 times
- Fantastic – 6 times
- Fun – 4 times
- Quickly incorporates past positive personal
stories from his life.
- Funny stories about his work life.
-
How is his teaching style
still relevant 30 years later?

Teaching technique
๏ In one part he demonstrates a brush
stroke technique for few minutes.
๏ Then when he is done he explains it one
more time!
๏ Often repeats important concepts,
especially if it looks horrible.

Think!
๏ Six instances he pushes the need to stop
and think, visualize what needs to be
done.
๏ Brush stroke, shape and form, plan the
layers, THINK ABOUT IT!

Why?
๏ Don’t just tell, but tell why.
- Example- Why use a two inch brush, reason
behind the layout of a wave, why he is using
a knife,

๏ Scott
McClendon
๏ Somerset
Community
College
๏ Somerset KY
๏ YouTube
Channel:
mcclendonmath

AMATYC Ignite 2017 1st Half

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