I wanted to make a magic square using my own birthday, but since this is a blog I won't be publishing my birthday online. I will tell you that to make a magic square using my birthday, all the columns, rows, and diagonals would need to add up to 142. So instead I used Isaac Newton's Birthday to make a magic square. Isaac Newton's Birthday is December 25, 1642.

You can see that Isaac Newton's birthday is the top row of the 4x4 square. What's interesting is that some of the numbers in both magic squares are the same entries. I think the reason for this is the way I solved it.

First I looked at the numbers in Ramanujan's square to see how some of the entries were related. I noticed that the entry in column 1 row 2 was the (entry in column 4 row 1) +1. So I did this in my magic square. I kept noticing patterns like this until I got to...

First I looked at the numbers in Ramanujan's square to see how some of the entries were related. I noticed that the entry in column 1 row 2 was the (entry in column 4 row 1) +1. So I did this in my magic square. I kept noticing patterns like this until I got to...

At this point I could solve for the remaining entries.

All the entries of the rows, columns, and diagonals add up to 95.

I thought this was an interesting exercise that made me wonder about how Ramanujan came up with this. Did he just play around with the numbers in his birthday until he got this result? Or had he been playing with simpler magic squares and decided to try his birthday?

In conclusion, I really enjoy these magic squares. Its solving a puzzle which is math but sometime people forget that solving puzzles or playing games is math too. This is definitely something I saw this semester that I will take into my classroom someday and show to students.

]]>All the entries of the rows, columns, and diagonals add up to 95.

I thought this was an interesting exercise that made me wonder about how Ramanujan came up with this. Did he just play around with the numbers in his birthday until he got this result? Or had he been playing with simpler magic squares and decided to try his birthday?

In conclusion, I really enjoy these magic squares. Its solving a puzzle which is math but sometime people forget that solving puzzles or playing games is math too. This is definitely something I saw this semester that I will take into my classroom someday and show to students.

So I found a link explaining what 0/0 means.

I think this is very important concept that comes up in middle school math, but I don’t think teachers explain it very well, or actually understand the concept themselves. So I decided to look into this concept more to help me prepare for future teaching.

In conclusion, after doing some research into this mathematical concept, I feel as though I could explain the concept to middle school or high school students if the question ever came up. I think it's still a confusing concept that even mathematicians might have a hard time explaining. I think the examples that I worked through above helped me develop a deeper understanding. But it's still interesting to note the outputs that Desmos comes up with. Some correlate with what I saw, but 1/0 being equal to infinity just doesn't seem right. Infinity isn't even a number....but that's a whole other topic, maybe for another blog post.

]]> Consider the scenario in the picture above. This is what traffic looks like at very busy times on campus, usually when afternoon classes get out. You have students waiting to cross and you have cars waiting to turn all in different directions at different times. You also have busses waiting, and they are on a time schedule. But so is everyone else. How do you minimize the number of “turns or moves” so that you can get everyone moving as soon as possible? This is mathematics in real life, it’s like playing the game Rush Hour but there are so many more factors involved. And there are higher stakes involved, don’t cause an accident and make sure students cross the street safely.

http://weusemath.org/?career=air-traffic-controller

http://theconversation.com/stuck-in-traffic-maths-can-get-you-on-your-way-15125

I found a few articles above to support my thinking. The air traffic controller is very similar to directing traffic so I thought that article support

]]>http://weusemath.org/?career=air-traffic-controller

http://theconversation.com/stuck-in-traffic-maths-can-get-you-on-your-way-15125

I found a few articles above to support my thinking. The air traffic controller is very similar to directing traffic so I thought that article support

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In the picture above, I made my thinking and understanding of this proposition visual. In box 1 we have two wholes. They aren't equivalent wholes, but one is a whole circle and one is a whole rectangle. Now if we subtract the same amount from each whole, 1/2 (box 2), then the remainders in box 3 are equivalent in the sense that in proportion to their wholes, those two remainders are the same.

This is what I thought of the Euclid proposition and this is my own visual thinking and understanding.

When people ask what I’m going to teach in the future, I say math. Most people respond with “oh I’m not very good at math”. This is frustrating because when I walk into a classroom to teach this is the attitude of most average students.

I personally think math is everywhere. When it comes to the history of mathematics I’m not too sure. (I am currently in HSC 201). I read a book last semester called Logicomix. This book is actually a graphic novel about Bertrand Russell and his struggle to make sense of logic. This book outlined the struggle of a mathematician’s search for truth in a world that didn’t have any set guidelines for mathematics. The founders of mathematics struggled and devoted their whole lives to the theorems we know take for granted when studying in our classes. I can’t imagine devoting my whole life to proving what we consider now a simple concept.

Top 5 mathematic events:

1. Use of numbers as symbols

2. Euclid

3. Calculus

4. Computers

5. Infinity

The events above aren't listed in any particular order. I want to learn more about the history of mathematics. I included computers because the processing uses a lot of mathematics.

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