Part 1

This video shows the relation of simple doodling to demonstrate and compare the relationship between the Fibonacci sequence and real life.

This video demonstrates the use of symmetry and its reflection in order to create a pattern shaped as a braid. The use of this type of pattern may be used to produce a sound braid shape such that when notes are added to it there will be harmony. Mathematically speaking this sound braid is considered a an object exsting on a two-dimensional plane with space time.

This video gives details on the different types of infinity and impresses on the difference between countable infinity and uncountable infinity.

**Part 2.** My favorite video of the three is the Doodling in Math video. The video was eyeopening for me because I never knew how much of a connection a sequence can be related to real life. I loved the use of a pineapple and a pine cone, which already are two amazing things, the video left me wanting to know much more about the Fibonacchi sequence. I learned that in fact a pine cone of any shape still follows the order of the Fibonacchi sequence. One question I have is there a way to show that the pine cone’s leaves on the top reflects or follows the sequence as well?

**Part 3. **Thia video has inspired me to be creative when I teach math in the future. I believe videos like this or even examples related to this, could have helped me get a stronger foundation of math because it might have kept my attention a little but longer than the more traditional way of teaching where a teacher gives direction and leave the student to apply the concepts to solve problems. One may ask, is this way of teaching math? I declare that it is indeed math and this type of teaching may prove highly relevant in teaching students at any grade level, and it is done in a way that will help a student remember and apply it to other forms of sequences and patterns. There is a big connection between this video about the Fibonacchi sequence and the reading Lockhart’s Lament, because Lockhart professes that there is a need to teach students in a way in which they get a full understanding of the meaning of things instead of memorizing a formula. The example he used with a box whose space is shared by a triangle and using the triangle as part of the rectangle is a very useful way to show students why the formula of the area of a triangle works in turn helping them understand that the imagination is what helps you understand the notion. The author states that something as simple as drawing a straight line connecting to points on the rectangle gives a drawing more meaning. Accordingly, Vi Hart shows that she has the same sentiments by having a video where she explains the sequence but takes her time to demonstrate what a sequence meant and proved it in various ways using a pine cone and a pineapple giving the sequence more meaning. The use of real life examples is a effective way of teaching, I find that students may pay more attention and they will most likely remember what was taught without using memorization.

Thanks for including a video about the Fibonacci sequence! I love this sequence for many reasons, not least of which is that it shows up in nature in so many surprising way – I definitely agree with you “The use of real life examples is a effective way of teaching, I find that students may pay more attention”!