AMATYC Ignite 2017 1st Half
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This document provides information about the Student Research League (SRL) competition. The SRL is a mathematical research competition for two-year college students held each spring. Students have nine days to research and solve a challenge problem with a faculty mentor. Problems relate to real-world issues and require mathematical modeling. Components of the competition include the challenge problem, career research, a mathematical model or thesis, and a thesis defense. Prizes include a $1,500 grand prize. The goal is to encourage mathematical problem solving and provide an outlet for two-year college students to compete in research contests.
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AMATYC Ignite 2017 1st Half
- 1. What is an SRL? Karen Gaines – St. Louis Community College AMATYC SRL Coordinator 2017
- 2. What in the world could SRL stand for?! Be the first to guess and win a T-shirt! 2017
- 7. Answering life’s great questions
- 8. What is the Meaning of Life? Where is Waldo?
- 9. Who Framed Roger Rabbit? When will then be now?
- 10. Why do birds suddenly appear? How many roads must a man walk down before you can call him man?
- 11. What? Competition held in spring of each year. Nine days to research and solve a Challenge Problem.
- 12. 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
- 13. Components? • Challenge Problem • Job/Career Research • Mathematical Tools (Model) • Thesis Defense
- 14. 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.
- 15. Level? PreCalculus and beyond How? •Registration Fee or Institutional Membership •Faculty Mentor (team of 1 or 2 students)
- 16. Judging? Holly Ashton – Thesis Defense Coordinator Entries judged by a team of STEM professionals
- 17. 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.
- 18. 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
- 19. Prizes? • $1500 Grand Prize • Certificates and Plaques • AMATYC Sponsored • Exploring other sponsors for more prize money
- 20. 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
- 22. I teach basic math… 2017
- 23. Take the problem 500 - 499 Couldn’t you just say add up … so that the answer is 1? 2017
- 24. So you can make this look like… 500 501 - 499 - 500 1 2017
- 25. Now let’s play with fractions, everyone’s favorite. 2017
- 26. Have your students been frustrated when subtracting mixed numbers when you have to regroup (borrow)? 2017
- 27. 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
- 28. 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
- 29. 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
- 30. To give us… So, do your students look like this? 8 5 4 2017
- 31. 2017
- 32. 2017
- 33. Hold on. Let’s use number sense. Why don’t we simply subtract the next whole number? 2017
- 34. 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
- 35. 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
- 36. Holy cow, show me another! 2017
- 39. 2017
- 40. 2017
- 41. I SEE YOU in I. C. U. 2017 @lukeselfwalker Luke Walsh Catawba Valley CC Hickory, North Carolina NCMATYC President #IseeYouICU
- 42. 2017 @lukeselfwalker #IseeYouICU I SEE YOU I SEE YOU I SEE YOU
- 45. 2017 @lukeselfwalker #IseeYouICU I SEE YOU I SEE YOU I SEE YOU
- 48. 2017 @lukeselfwalker #IseeYouICU I SEE YOU I SEE YOU I SEE YOU
- 49. 2017 @lukeselfwalker #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
- 50. 2017 @lukeselfwalker #IseeYouICU https://www.desmos.com/calculator/qzgaskpvvs NO, I did not graph this. Did a STEM student?
- 51. 2017 @lukeselfwalker #IseeYouICU WHAT IS MATH? CALC ULUS
- 53. 2017 @lukeselfwalker #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
- 54. 2017 @lukeselfwalker #IseeYouICU I. C. U. I. C. U. I. C. U.
- 55. 2017 @lukeselfwalker #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
- 59. 2017 @lukeselfwalker #IseeYouICU S.T.E.M. IS FILLED WITH HIDDEN FIGURES Mary Jackson Katherine Johnson Dorothy Vaughn http://www.news.gatech.edu/features/film-figures
- 62. Websites and Programs You Need To Know Rob Eby Blinn College – Bryan Campus jeby @ blinn.edu @robebymathdude http://robebymathdude.blogspot.com/ 2017
- 64. Youtube sites ๏ Kahn academy ๏ Minute Math ๏ That tutor guy ๏ GVSU youtube site 2017
- 65. 2017 Cymath.com Solve by completing the square:
- 66. 2017 Wolframalpha.com Find the sum of the following series:
- 68. 2017 Symbolab continued Find the derivative of the given function, where r and c are constants
- 69. So What Do We Do? 2017 Robert Matthew Van Winkle known professionally as Vanilla Ice
- 70. Twitter ๏ Tweetdeck – plugin for chrome ๏ Follow people and search hashtags ๏ #AMATYC Are these parallel? H/T Dan Allen @allenmath 2017
- 71. Read Blogs ๏feedly – blogs ๏Maria Anderson ๏Write your own blog 2017
- 72. 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
- 73. Problem and Topic Resources ๏ undergroundmathematics.org ๏ Mathquest ๏ MAA bookstore ๏ Dynamic Paper - NCTM 2017
- 74. Clickers ๏Kahoot ๏poll anywhere ๏Bring Your Own Devices ๏Plickers 2017
- 75. 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
- 76. Math Teacher Tools ๏ Netlogo – 100’s of simulations ๏ desmos ๏ Geogebra ๏ Fooplot – polar and rectangular together! ๏ Media – document convert ๏ Camscanner 2017
- 77. Project Based Learning (PBL) ๏ Key Knowledge and Understanding ๏ Challenging Problem or Question - ๏ Sustained Inquiry - ๏ Authenticity - ๏ Student Voice & Choice ๏ Reflection - ๏ Critique & Revision - 2017
- 78. 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
- 79. ๏ 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
- 80. IBL 2 ๏ JIBLM - Journal of Inquiry Based Learning for Mathematics ๏ Art of Mathematics ๏ Dan Meyer ๏ Open Middle 2017
- 81. Become a More–seene PRIME professor 2017 Rob Eby Blinn College – Bryan Campus jeby @ blinn.edu @robebymathdude robebymathdude.blogspot.com/
- 82. Mathematical Tidbits You Just Can’t Live Without Or … Suggested Mathematical Pick Up Lines for Jon Oaks 2017 Jane Tanner Onondaga Community College
- 83. 2017
- 84. 2017 https://www.youtube.com/watch?v=CQlj7N 7Rbhs&list=PLufObkSlzUUU4oKivkiwchX BRfAzQXpcu&index=17
- 85. 2017
- 86. 2017 Several interesting tidbits about the number
- 87. 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
- 88. Any Big Bang Theory fans out there? Sheldon does 43 consecutive hits with a Hacky Sack. 2017
- 89. Augustus De Morgan was 43 years old in the year 432 . So was Elizabeth Barrett Browning and anyone else born in 1806. 2017
- 90. Have you seen Kris McCoy's Pointless Math Fact of the Day on Facebook? 2017
- 91. 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
- 92. 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
- 93. 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
- 94. 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
- 95. 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
- 96. 2017 111,111,111 × 111,111,111 = 12,345,678,987,654,321
- 97. 10! seconds is exactly 6 weeks 2017
- 98. Secret To Remembering The Digits In Pi 2017
- 99. 2017 Take any 3 digit number and multiply it by 7 then by 11 and then by 13. I can give you the answer!
- 100. 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!
- 101. 2017 Speaker: Tuyetdong Phan-Yamada CSU Los Angeles
- 102. 2017 Polar CoordinatesRectangular Coordinates x = r(t)cos(t) y = r(t)sin(t) POLAR CURVES where r(t) = 2cos(2t)
- 104. 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?
- 105. 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.
- 106. 2017 How does it look like in polar coordinates? Rectangular Coordinates
- 107. 2017
- 108. 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 )
- 109. 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 ÷
- 110. 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
- 111. 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.
- 112. 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.
- 114. 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.
- 115. 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
- 116. 2017 Epitrochoids Motion of Jupiter (in the middle loop) vs Epitrochoids
- 117. 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
- 118. 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
- 120. 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
- 121. Helen Burn, Ph.D. Instructor, Department of Mathematics Director, Curriculum Research Group Highline College, Des Moines, WA 2017 The Gender Variable in Statistics
- 122. 2017 Helen Burn, Ph.D. Instructor, Department of Mathematics Director, Curriculum Research Group Highline College, Des Moines, WA The Gender Variable in Statistics
- 123. 2017 Educational Attainment of Asian American students
- 124. 2017 Educational Attainment of Asian American students
- 125. 2017 Challenge the “binary” gender categories Reconsider this dichotomous variable
- 126. 2017 Don’t throw the baby out with the bathwater
- 127. 2017 New Highline College admissions question What is your gender identity? ๏ Feminine ๏ Masculine ๏ Androgynous ๏ Gender Neutral ๏ Transgender ๏ Other ๏ Prefer not to answer
- 128. 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)
- 129. 2017 1st day activity: Describe your group Pick “interesting variables” Avoid: Eye color Age Race/ethnicity Gender
- 130. 2017 1st day activity: Describe your group Pick “interesting variables” Avoid: Eye color Age Race/ethnicity Gender
- 131. 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
- 132. 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
- 133. 2017 Biological Sex sex chromosomes physical characteristics ๏ Male ๏ Female ๏ Intersex ๏ Prefer not to answer
- 134. 2017 Gender Identity Internal perception of an individual’s gender how they label themselves ๏ Man ๏ Woman ๏ Transgender ๏ Genderqueer/Genderfluid ๏ Two-spirit ๏ Prefer not to answer
- 136. 2017 Address it with your students ๏ Biological Sex versus Gender Identity ๏ Male/Female Man/Woman ๏ Sex, gender, gender identity, gender expression, sexual orientation
- 137. 2017 Data is typically disaggregated by gender identity
- 138. 2017 Data is typically disaggregated by gender identity
- 139. 2017 Explore the question of gender identity differently….
- 140. 2017 Thank you! Questions or comments? Helen Burn hburn@highline.edu
- 141. A Funeral for Aunt Sally A glimpse into the minds of arithmetic students 2017 Aaron Altose Cuyahoga Community College
- 142. Please Excuse My Dear Aunt Sally 2017
- 143. Pardon Everyone, My Dog Always Smells 2017
- 144. Food, Glorious Food! ๏ Pancakes, Eggs, Muffins, Donuts, Apples, and Sausages ๏ Picky Eaters Must Devour Anything Suitable ๏ Pigs Eat Mud, Dirt, And Slop 2017
- 145. Food, Glorious Food! ๏ Pick Edible Mushrooms Daily After Supper ๏ Python Eggs Make Delicious Afternoon Snacks 2017
- 146. Food, Glorious Food! ๏ Paul Eats Monkey Dung And Soda ๏ People Eat Mayonnaise During a Storm 2017
- 147. Food, Glorious Food! ๏ People Enter McDonald’s Desperate and Starving ๏ Pickles Expire Monday Down at Subway ๏ Prior (to) Eating Mc Donald’s, Ask Somebody 2017
- 148. Food, Glorious Food! ๏ Prince Edward Makes Delicious Antipasto Salad ๏ Paul Emailed Me: "Dinner At Seven!" 2017
- 149. Keep the Faith 2017 ๏ Pray Every Morning. Dance And Shout! ๏ Praying Eases My Day And Soul
- 150. Keep the Faith 2017 ๏ Prayer Effects My Destiny And Skills ๏ Praise Every Mom, Dad, and Sister
- 151. Love and Dating ๏ Practice Efficient Manners. Don’t Always Swear. ๏ Proper Etiquette Makes Dates A Success ๏ Pleasantly Endearing Men Don't Always Smile 2017
- 152. Love and Dating ๏ Push Every Man Down A Slope ๏ Physical Exertion May Develop Arm Sores 2017
- 153. Love and Dating ๏ Pitifully Eager Molly Dates Another Stalker 2017
- 154. Love and Dating ๏ Pompous English Monarch Divorces American Starlet 2017
- 155. Math and Mental Heath 2017 ๏ Problematic Exams May Destroy A Student ๏ People Experience Mental Disorders And Symptoms ๏ Please Enjoy Math, Don’t Act Sad
- 156. Current Events ๏ Please Excuse Michael (Jackson) Demerol Accidental Suicide - (Summer 2009) 2017
- 157. There’s More to the Story… 2017 ๏ Privately Enter My Darling’s Attic Safely ๏ Pointing East Might Direct A Sailor
- 158. There’s More to the Story… 2017 ๏ Pianos Entertain Men, Dames, and Scoundrels
- 159. Keep it Real ๏ Parents Eventually Make Donations At School 2017
- 160. Keep it Real 2017 ๏ Place Extra Money Down Arrow Slot
- 161. Pat Riley – Hopkinsville Community College (KY) A Tribute to KYMATYC Legend: Taylor Johnson 2017
- 162. 2017
- 163. 2013 2017
- 164. Dave Sobecki 2017
- 165. 2017
- 166. 2017
- 167. 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
- 168. Taylor Johnson 2017
- 169. 2017
- 170. 2017
- 171. 2017
- 172. Fast Factoring Taylor Johnson Elizabethtown Community Technical College 2017
- 173. 2017
- 174. 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 )
- 175. 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)
- 176. 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?
- 177. 2017
- 178. 2017 The KYMATYC Executive Board has agreed to honor Taylor Johnson for his many years of passion, humor, and enthusiasm…..
- 179. 2017 …with the TAYLOR JOHNSON IGNITION TROPHY for the best Ignite presentation.
- 180. 2017
- 181. A Stroke of Genius – Methods from one of the greatest teachers of all time. 2017 Scott McClendon
- 182. When thinking of the greatest teachers, who comes to mind? 2017
- 183. Escalante
- 184. I submit this man!
- 185. 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.
- 186. 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.
- 187. 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
- 188. 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
- 189. ๏ 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?
- 190. 2017
- 191. 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.
- 192. 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!
- 195. 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,
- 196. Exactly what you want
- 200. ๏ Scott McClendon ๏ Somerset Community College ๏ Somerset KY ๏ YouTube Channel: mcclendonmath