# Videos Irania Vazquez

Part 1 : Doodling in Math Class: DRAGONS   In the video, she talks about the lines repetition of zig zags and can for different structures and if in 90 degrees can outline the folds of a piece of paper folded in half multiple times.

Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]  In this video, Vi Hart talks about spirals in nature and how they are related to the Fibonacci series. Her conjecture is that the number of spirals on plants are elements of the Fibonacci series.

What was up with Pythagoras? In this video, Vi Hart talks about how Pythagoras came up with the Pythagorean Theorem and was contradicted by a man who stated his thought off all numbers being rational was false and applied it with his discovery of the Pythagorean theorem.

Part 2: I felt really excited throughout watching several of these videos although Vi Hart does talk pretty fast and was pretty intrigued by the video of “What was up with Pythagoras?”. I was a little confused by the part where they started saying that everything was even but was odd and watched it again and realized that they were contradicting their statements. One of the things I learned from the video was that Pythagoras disliked beans with a passion and found this a little funny and silly. I really liked how she incorporated drawings and examples to show the ideas and concepts. I found her drawings cute and adorable and really help the audience visualize the idea. One of the questions that I have after watching the video would be if Pythagoras was in denial about the existence of irrational numbers,  are there concepts today that people don’t set out into the public because they have the  same problem as Pythagoras. There are probably many concepts we still don’t fully understand but we should always be open to new ideas.

Part 3: This video shows the origin of the Pythagorean theorem and shows how it was derived. The Pythagorean theorem is most definitely math and students should be shown how the Pythagorean theorem was conjured instead of just given the formula. As Vi Hart said, there were no formulas or variables back then and yet they were able to make this marvelous concept from connecting different concepts. This video is related to the reading from Lockhart’s Lament. It shows the concepts of origination and how they came to be from basic concepts. There were parts in the video were I paused it and was able to see how she worked out a proof by contradiction on how the square root of 2 is not rational. It is always nice to glimpse at something and realize you understand what they are doing. I really enjoyed watching these videos.

# Videos : Yuyu Chen

Part 1

A Song About A Circle Constant

A music video about the circle constraint, Tau.

Origami Proof of the Pythagorean Theorem

A visual example and proof of the Pythagorean using nothing but a piece of paper.

Angle-a-trons

Create the angles you need by folding a piece of paper systematically into a quick and ready to use protractor.

Part 2

The video,  A Song About A Circle Constant, talked (sang) about the idea of Tau. Prior to this video, I had no idea what this concept was so I was trying to learn and understand it.  . Vi Hart created a video to explain the concept of Tau, a measurement of 2pi used as a proportion for diameters,  in ways of music, visuals, and geometry. The music and song helped to internalize the idea of Tau more concretely as you can hum its tune or sing its numbers.  Vi Hart even used visuals like circles and an unraveled earphone wire to show Tau’s applications and value on paper. The humorous drawings of the two stickmen arguing about Tau cemented the idea that Tau’s value comes from twice Pi, but is a specific term and value used for discussing diameters.

Part 3

By the end of the video, I was very amused but at the same time bewildered. Needless to say, the music and lyrics were very provoking but what was shocking was that I actually learned. In other words, I would never have hoped to think or even imagine that teaching can be in this form. Certainly, I wouldn’t expect this in a school setting. This approach to teaching a concept is incredibly refreshing in my mundane routine school schedule and learning experience. It is math. It is teaching. It is a music video. It is not in today’s schools. It’s disheartening to realize that I have lost my strong youthful enthusiasm for learning. This video was able to revert me back into a child, happily and playfully learning about anything and everything that piques its interests. I wish my future students would achieve, and even go beyond, the same level of enthusiasm that I had when I watched this video.

# Videos- Sanaya Brown

Part 1

Part 2

I’m going to focus on the third video I watched

Initially, I chose to see the origami proof of the Pythagorean Theorem because this year in my math ed classes we’ve focused a lot on Pythagorean proofs and the use of origami seemed intriguing to me.  While watching I felt excited. Although, I did find myself having to pause the video after each step or idea introduced to allow my brain time to process what she was saying seeing as how she was speaking so fast. However, I realized that this is a proof I’ve seen before but watching her video made it clearer. The first time I seen this proofs, I understood the c^2 part but I didn’t understand how they were able to just refold the paper and equate that to c^2 but now I get it.

Part 3

This video inspires me to pursue math topics in this way when I become a math teacher. Incorporating objects, manipulates, and and tangible things can stir up a deeper understanding of topics. She was able to prove the Pythagorean theorem using something as cool as origami which is a form of art. For students whom often times find math boring, this method of teaching makes learning math more relatable and fun. It is more likely to how the student’s interest rather than the traditional lecture or rote style of teaching. here is also some connection between Lockhart’s Lament and her videos. Lockhart was questioning why mathematics was not classified as an art form and trying to convey that it should not strictly be looked at as something involving reasoning a logic but a play on imagination and ideas. Vi Hart used art in all her video to convey math principles and build upon her ideas. She in a way proved Lockhart’s Lament.

# Rahat Javed Videos

Part 1:

Angle-a-trons: https://youtu.be/o6W6P8JZW0o

This video showed that one can make angles and shapes without actually using or carrying a protractor. Adding on that, if one knows the basic form of the 60, 90, and 180 degree angles they can use paper folds to help them mimic the job of a protractor.

Borromean Onion Rings: https://youtu.be/4tsjCND2ZfM

This video showed how to cook onion rings in a unique shape called the “Borromean Ring”. This edible rings were used as a topper in the video. Moreover, the video explained the concept of how the Borromean Rings are linked and how to link the onion rings the same way.

Re: Visual Multiplication and 48/2(9+3): https://youtu.be/a-e8fzqv3CE

This video was trying to shed light on a new multiplication method and also to explain how crucial proper math notation is. Lastly, that there are more than one way in math to solving a problem.

Origami Proof of the Pythagorean Theorem: https://youtu.be/z6lL83wl31E

This video explained the proof of the Pythagorean Theorem by folding different triangles into a paper. It explained the basic concept of the a^2, b^2, and c^2 sides, and how and why all the sides add up and work.

Part 2:

For this part of the assignment I chose to focus on the “Re: Visual Multiplication and 48/2(9+3)” video.  I found this video so fascinating because not only was it a response video to a concept or trick used for multiplication that I was unaware of, but because of what I learned through Harts simple statement and showing that there are  more than one way to solve equations. Like I have previously mentioned, the video was in response to a multiplication trick, but the fascinating or knowledgeable part to me was when she didn’t know how to multiply 6*7. She then shows a alternative way, despite the trick, which was to draw a whole bunch of dots and multiply by grouping simpler numbers that once can multiply then multiplying the remainder. I just thought one needs to know there times table. Moving on, the second half of the video also interested me and I learned something new. She explained how crucial math notation is. I mean, I always new how crucial it was but not until I saw the video example of how one can mess up on a simple multiplication and division equation if it was not in the right form. Since math is my major, I could easily identify how to do it, but I can also see how tricky the equation would have been for someone not so passionate about math. They wouldn’t have the necessary skills to pick up on bad notation. In conclusion, the video was well explained, leaving me with no questions.

Part 3:

Well I do believe that this video was math, probably not numerical or algorithmic actual type math, but it used these concepts to explain the fact to not look at every single mathematical problem in one way. Sometimes, there are more than one way to do something that might be more convenient and easy to understand. While for others the conventional way would be best applicable. This of Hart’s lesson, yes, i do think i would use in my future teaching career because not all students learn the same. So its always beneficial to keep options and various methods on hand of doing problems, catering to the students needs. This way math breaks out of its ‘boring’ or ‘usual’ ways, hence making it fun. This also connects to Lockhart’s idea of making math fun and actually introducing new concepts into math, allowing students to explore on there own, beyond the conventional boundaries. In conclusion, Hart’s video do shed a more concrete and visible light on basic math and notational importance, so well that these will, for sure, aid in my steps to my career and once I am there.

# Videos Josiel Nunez

Part 1.
Wau: The Most Amazing, Ancient, and Singular Number
This video literally talked about the most interesting number called Wau! WOW! A number that is so complex there are infinitely many ways to express it itself. You can use it in conventional ways but with complexity, you will end up with wau.

Infinite Trees Are Super Weird
This video talks about infinite numbers. She goes on about how you can create a number tree and this number trees has branches and nodes to it so essentially you can go along these branches and reach these numbers infinitely. Also wonders if there is a pi node.

Math Improv: Fruit By The Foot
She wants to know if there are math elements to fruit by the foot, and does something interesting with the candy. She relates it to the famous mobius strip.

This video amazed me. I honestly don’t know if wau is real I didn’t bother searching about it but it blew my mind. She kept comparing wau with fractal fractions and e and derivatives, and it was mind blowing what this ‘wau’ number is. What I actually learned in this video is that if you infinitley take a pattern for example (x+x^y+x^(y^x))/(y+y^x+y^(x^y)) and so forth, equals wau. My question is, why don’t they teach us this in school?

Part 3.

I believe this video could mean nothing to my own math teaching. I mean, it’s talking about a topic that isn’t even teachable. It seems like just a concept, something to get you thinking. Wau would make a great excercise in terms of the idea of infinite patterns in math. I believe this concept is math but it isn’t teaching. It is an idea that will leave everyone wondering. And the reason for that is math, well numbers in general is a complex idea that we as humans have taken control of the topic. It’s like measurements for example. Measurements were created by people to define a set of rules and precision. But no doubt, there is ‘no such thing as measurements’ we’re just safe with them. Do you understand? Like we know what pi is but we don’t really know what pi is. This is wau. I believe that in Lockhart’s Lament, it was the same idea.

# OpenLab #8: Hold your breath and dive into math – Vi Hart

Vi Hart describes herself as a “recreational mathemusician” – she has a unique approach to mathematics and its connections to the world.  In this assignment you’ll be exploring some of her videos (she has a YouTube channel here), and using them as a basis for creating a new blog post.

Assignment (Due November 5, 2015).  Create a new blog post responding to the instructions below. Creating a new blog post allows you more flexibility than simply leaving a comment. You have the ability to edit your work after you submit it, and to include photos, videos and other media. It also allows you to contribute to the public content of our course website.

You can get started by clicking the plus sign at the very top of our site (if you don’t see it, make sure you are logged in to the OpenLab). Detailed instructions on creating a new blog post can be found here (see “Writing a Post” in the middle of the page). You should create a new post including the following:

• The title should include the word “Videos” and also your name.
• Your post should include responses to all three parts of the assignment described below.
• Under “Category,” select “OpenLab Assignments” (you will see this on the right side of the screen)
• Under tags, enter “OpenLab 8”, “Vi Hart”, and any other tags you think describe the videos you watched (for example, you might choose “pi” if it’s a video about pi).  Don’t forget to click “Add” after entering your tags in the box.
• When you’re done, click “Publish” (the blue button towards the top right on the screen).

Instructions:

Watch at least three different videos by Vi Hart from  https://www.youtube.com/user/Vihart/ .  You should:

• choose videos at least 2 minutes in length
• choose videos that are related to math in some way
• choose three videos, at least two of which should not appear on her front page (older or less popular videos).  For a full list of her videos, click the “Videos” button near the top of her page – or click here.  Scroll to the bottom and click “Load more” to see older videos.

In your post, include a response to each of the following three Parts:

Part 1. Include a link to each video you watched (3 minimum), the title, and a one or two sentence description of what the video was about.

Now choose one video to focus on.  You MUST watch it 3 times. Use it as the basis for parts 2 and 3.

Part 2.  Write one paragraph discussing the contents of the video:

• How did you feel watching it? Did you like it, or not? Were you confused? Inspired? Bored? Excited? Bewildered?  Why?
• What is one thing you learned from the video?
• What is one question you have after watching it?

Part 3.  Write a one-paragraph reflection discussing what the video could mean to your own math teaching.  Is it math? Is it teaching? Is it relevant to the work you will be doing in the classroom? Is there any connection to the earlier reading assignment Lockhart’s Lament?  Any other thoughts?

Extra Credit.  You can earn extra credit by responding to one of your classmates’ posts.  As always, be kind, be respectful, be honest.