32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL March 12-14 ictcm.com | #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Using technology to strengthen relational concepts--a series of simple assignments
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Sam Butler Teacher / Lecturer / Coach Millard South High – Metro. CC Nebraska sjbutler@mpsomaha.org @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Students and teachers know different media Students are Students are less • • comfortable comfortable with creating / editing traditional computer videos tasks (emails, spreadsheets, etc…) Teachers are • requesting Teachers are very • training in this confident with area indicating a traditional computer lack of comfort tasks According to a survey of 14000+ students and 1400 teachers/administrators within an Omaha @CoachSamButler suburban school district
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Personal note If given the opportunity and boundaries are • clear, students will surprise us with their abilities Mathematica and help menu • Digital homework completion and submission • @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Tiers of engagement through assignments Tier #1 Tier #2 Tier #3 • Video & • Collaboration relational using digital • Application / concepts media presentation with • Builds comfort collaboration and • Creates functional teaching with digital network within class sources and • Helps students teach each other • Increases comfort applications of mathematics in with mathematics ways students mathematical already vocabulary communicate @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Tier 1 – relational videos The following are student examples to describe polynomials… Note: students were asked to provide a video relating to polynomials and not much stock was placed in the precision of their descriptions since this was the initial assignment
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Graphing Polynomial Functions https://youtu.be/Nnm-JLMGE9Q @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Student Response Example 1 “The air plane bends and moves and twist like the arrows do on the graph they also have a certain height they can go and also a certain latitude and longatude like the x,y cordanite planes” @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Student Response Example 2 “I chose this video because if you think about it balloons could be like a polynomial graph because when they are affected by outside forces they move all around like when a number gets inserted for x into the equation.” https://youtu.be/xFA5Lf3Zw_Q @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Student Response Example 3 Explanation: guy is at a low point in his life(rock bottom or zero) being selfish and rude but when someone forces him to be nice he feels better about himself and decides to be nicer(the turning point in his life). By the end of the animation he is nice and trying to make others nice https://youtu.be/DtujJRFuIi0 too(End-Behavior) @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Student Response Example 4 “This water slide is an example of a parabla because it looks like a ark on the first drop of the slide.” https://youtu.be/k0pnBwNZMa0 “A water slide has turning point and you multiple stop and slow down areas, but there are also steep point and falling points.” @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Lower-level Introduction Exponentials Scientific Notation Probability Probability of being an MD & Superbowl Champion @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Lower-level course examples This gremlin multiplies from into 2 . If there was 2 gremlins and they both split into two it could be written like this 2 2 Which can simplify down to 2 x 2 which equals 4 https://youtu.be/o2vw_iYBAyY @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Lower-level course examples “Each level of the pyramid is much larger than the one before it. Eventually, all of the people at the lower levels of the pyramid do not make any money; only the people at the top turn a profit” https://www.youtube.com/watch?v=lC5lsemxaJo @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Lower-level course examples Explanation: they are explaining how this virus can infect people rapidly. When trying to calculate the death rate they explain that you can use exponents to find it. They made it sound like its just scratch paper work. https://youtu.be/Afh7_Pn0bLQ @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Lower-level course examples Explanation: he explains the probability of a basketball player making a three pointer versus getting closer and making a lay up or free throw. It helps trying to find out if they are more likely to make a three or a lay up. https://youtu.be/_sY3ZRxhBaM @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Tier 2 – video creation / collaboration Note: This is a change I will make next time, so there are no student examples, but you’ll get the idea.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM My first online videos: • Purchased a large cantilever tripod for filming on grant • Used the rubics cube to aid in editing https://youtu.be/Q884wRoj_DQ @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM My next-gen. online videos: • Purchased a screen-recording program • Still, I was unable to write on the screen without spending FAR more $ https://youtu.be/PkYDULBad-E @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM My last online videos: Finally MS Surface became available enough computing • power to run math programs (Mathematica, MATLAB, Maple) Included a stylus • and tablet-feel https://youtu.be/19z1V-LMqvc?t=4m34s @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Kids these days: https://www.youtube.com/watch?v=GZAfFvlkbS0 Watch me dance… …check out my highlights! https://www.youtube.com/watch?v=_zerIdZ8skI @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM I made this on my phone, “notes” and emailed in 60 seconds This happens to be an iPhone, but (nearly) every student with a smart phone has this ability. https://youtu.be/GS5z1ZhIb-8 @CoachSamButler
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Tier 2 – the assignment Take and share a video of you solving a math problem. This can be done in any way you’d like, I just want to see and hear you solving a problem.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Tier 3 – video creation / collaboration • Create • Analyze • Solve application of mathematics • Collaboratively
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Tier 3 – video creation / collaboration The following are student examples to describe polynomials… Note: Students were asked to create a video demonstrating the mathematics being discussed at the time. Specific problems were given to them and they were asked to demonstrate the solutions.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Another video by students …sorry, it’s https://youtu.be/KdARwTwFMWY unlisted, accessible by link alone so it must be clicked.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM This is a video collaboration of some students…each made their own simple video, then they were combined
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