March 12-14 ictcm.com | #ICTCM 32 nd International Conference on - - PowerPoint PPT Presentation

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March 12-14 ictcm.com | #ICTCM 32 nd International Conference on - - PowerPoint PPT Presentation

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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

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32nd International Conference on Technology in Collegiate Mathematics

ictcm.com | #ICTCM

ORLANDO, FL

March 12-14

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

Using technology to strengthen relational concepts--a series

  • f simple assignments
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32nd 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

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

Students and teachers know different media

  • Students are

comfortable creating / editing videos

  • Teachers are

requesting training in this area indicating a lack of comfort

@CoachSamButler

According to a survey of 14000+ students and 1400 teachers/administrators within an Omaha suburban school district

  • Students are less

comfortable with traditional computer tasks (emails, spreadsheets, etc…)

  • Teachers are very

confident with traditional computer tasks

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32nd 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

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

Tiers of engagement through assignments

Tier #1

  • Video &

relational concepts

  • Builds comfort

with digital sources and applications of mathematics

@CoachSamButler

Tier #2

  • Collaboration

using digital media

  • Creates functional

network within class

  • Increases comfort

with mathematical vocabulary

Tier #3

  • Application /

presentation with collaboration and teaching

  • Helps students

teach each other mathematics in ways students already communicate

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32nd 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

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

Graphing Polynomial Functions

https://youtu.be/Nnm-JLMGE9Q

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

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”

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

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

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

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 too(End-Behavior)

Student Response Example 3

https://youtu.be/DtujJRFuIi0

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

“A water slide has turning point and you multiple stop and slow down areas, but there are also steep point and falling points.” “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 @CoachSamButler

Student Response Example 4

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

Lower-level Introduction

Exponentials Scientific Notation Probability Probability of being an MD & Superbowl Champion

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

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 22 Which can simplify down to 2 x 2 which equals 4

https://youtu.be/o2vw_iYBAyY

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

Lower-level course examples

“Each level of the pyramid is much larger than the

  • ne 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

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

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

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM @CoachSamButler

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

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#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.

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

My first online videos:

@CoachSamButler

  • Purchased a large

cantilever tripod for filming on grant

  • Used the rubics

cube to aid in editing

https://youtu.be/Q884wRoj_DQ

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

My next-gen. online videos:

@CoachSamButler

  • Purchased a

screen-recording program

  • Still, I was unable

to write on the screen without spending FAR more $

https://youtu.be/PkYDULBad-E

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

My last online videos:

@CoachSamButler

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

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

Kids these days:

@CoachSamButler

Watch me dance… …check out my highlights!

https://www.youtube.com/watch?v=GZAfFvlkbS0 https://www.youtube.com/watch?v=_zerIdZ8skI

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32nd 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

@CoachSamButler

This happens to be an iPhone, but (nearly) every student with a smart phone has this ability.

https://youtu.be/GS5z1ZhIb-8

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#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.

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#ICTCM

Tier 3 – video creation / collaboration

  • Create
  • Analyze
  • Solve application of mathematics
  • Collaboratively
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32nd 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.

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

Another video by students …sorry, it’s unlisted, accessible by link alone so it must be clicked. https://youtu.be/KdARwTwFMWY

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#ICTCM

This is a video collaboration of some students…each made their own simple video, then they were combined

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

To recap:

  • Students discovered relational videos to the class

material

  • Students worked together to coordinate, perform, then

explain the mathematics of their creation Next step: I will ask students to come up with an application problem for the material using methods learned from the previous steps.

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

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What does all this accomplish?

  • Deeper understanding of mathematics (relational)
  • A host of examples to build knowledge of the material
  • Conversation starters to relate mathematics to yet more

events/examples

  • Mathematics communication skills
  • Introduction to mathematics through digital media
  • Peers in class for studying and questions
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Final belabored points

No matter what the instructor’s age and comfort- level, students are more comfortable with visual media than their instructors. Give them the opportunity to do something visual and they will likely blow you away with their abilities. There will be push-back because it’s new, but they’ll do great!

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32nd 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

Thank you for watching and please let me know if you have any questions/comments!