Math+as+AOK

*How many craters are there in the moon?

" Short answer: too many to count. Approximately 300,000 craters (with diameters down to 1 km) are visible from ground based telescopes; high-definition photographs from lunar probes reveal millions of craters; extreme close-ups show countless microscopic craters. There are estimated to be roughly 300,000 craters wider than 1 km on the Moon's near side alone.  Well, that no-one will ever know my friend. But a good estimate would be around 5000-10,000!"

-http://wiki.answers.com/Q/How_many_craters_does_the_moon_have

*How many moons would fit inside the Earth? " According to NASA, the earth has just under 50 times the volume of the moon.

Volume of the earth = 1.0832073 × 1012 km3 Volume of the moon = 2.195 8 × 1010 km³

However, there is no cavity within the earth large enough to hold even a single moon. So in order to get 49 moons in the earth the entire contents of the Blue Planet would have to be removed and only a very thin outer shell would remain. Then the 49 moons would have to be crushed so that could be put into the earth shell.

But since you wanted to get complete, uncrushed moons in the earth shell, you cant use volume. You have to use area.

Surface area of the earth = 510,072,000 km² Surface area of the moon = 3.793 × 107 km²

Only 13 moons will fit in the empty earth shell."

-http://www.mahalo.com/answers/how-many-earth-moons-can-fit-inside-earth

*What is the Escape Velocity of the moon?

Escape velocity is the speed of zero (addition of kinetic energy and gravitational potential energy)

2.38 km/s

-http://home.tiac.net/~cri/1999/moon.html

**B. Read the following Math quotations (some you may have heard before) and below three of them, write your interpretation of what you believe the author is trying to say.**

 "Mathematics is neither physical nor mental, it's social." Reuben Hersh, 1927-

-It's social because we use it in daily lives and it is part of our history. It was discovered and still being discovered by some mathematicians out there.

-It really makes you think and as you encounter it there are different solutions to just one question. Also, everywhere you go there is Math. The watch you have, the structure of houses have their own specifications of volume and area. Math is used wherever you go. Even if you ride an airplane, the concept of Math was still used their and the kilometers the airplane is flying.
 * "To speak freely, I am convinced that it (mathematics) is a more powerful instrument of knowledge than any other..." Rene Descaret, 1596-1650**

-Impressions because people perceive differently and there are no right and wrong, but in Math when they answer is called "answers" instead of impressions it shows that it is the only answer they can have. Brothers meaning the same but different thinking.
 * "Instead of having "answers" on a math test, they should just call them 'impressions", and if you got a different "impression", so what, cant' we all be brothers?| Jack Handy 1949-**

Math helps me understand the world

Math is not just the addition, subtraction, multiplication and division; it is the figures we see everywhere we go and everything we see is made from different calculations. In our everyday lives, we use math just by looking at the clock and we wouldn’t know the time without these numbers. Your house that you live in is designed by an architect who used dimensions to be used by the carpenters in order for them to be organized and have the right house that is designed. In times when you are bored and you’re walking you feel like counting every step you take and when you walk or run you compute how many minutes you did it. Math helps you understand the world in a way that we use it everyday and without calculations things will be everywhere. In every subject that you take there is math. In just the scores that you make in every test you take needs calculation. Engineering, sciences and economics mostly need math. Everything that you buy and its price are made of calculation. Math is the most useful course you take, as you would be dumb if you can’t answer a simple calculation.

Option I – Write a 200 word letter to a friend describing your search for understanding about a famous mathematician listed on the University of St. Andrews math web site.
Include in your letter

· why you are doing this (for TOK), why you chose the mathematician that you did. · HOW you searched for information · what you found out · the sources you used (min 3) · any questions raised in your search (min 3)

Dear friend,

I'm writing this letter to you to tell you what I found out about one of the famous female mathematicians in the world. Her name is Olga Taussky-Todd, Czech-American from Olomouc born in 1903 30th of August. I chose her because it is very unique to have a female mathematician. She wasn't really interested in mathematics in the beginning, she first wanted poetry and writing but then she realized that when she looks and studies her work she always "looks for beauty and not only for achievement". His father died, who was a chemist, and she decided to follow her dad's footsteps however, her older sister got it first so she just pushed herself to take mathematics as her course. She contributed on matrices, wrote several papers about it. She made "proofs of methods to find the velocity potential due to a two-dimensional airfoil in a supersonic stream whose shapes and motion are given."

I found this stuff when I searched for the famous female mathematician. She isn't really that famous but just like changing from poetry to math it has a big different concept from reading books and writing to calculating numbers.

This is one of my researches that I have to do for Theory of Knowledge (TOK) and I feel like I just want to share it with you because it is amazing and I know that you really love Maths. I found this details from [], [], and []. There are just some questions that came up to my mind: How did she become interested in Maths? Is her family members also took courses that are connected to Maths? And How she came up to the idea of tutoring in just 15 years old?

Sincerely, Amae :)    Why is it that mathematics is considered to be of different value in different cultures?

Statement: · Industrial cities of the past have shown to have needed math for development. o Example: In Stalin’s Regime society had been forced to value math and sciences, this was because of the great industrial growth that he planned for nation. So in schools during the regime had heavily taught Mathematical skills and did not focus greatly on subjects like English, and History.

· Math for a African or Arab nomad or for a European farmer in the countryside may not value math as much as places where industry is heavily used for development. o A African or Arab nomads, will follow a tribe around building small huts as an abode temporarily in different places, they do not have the knowledge or time to create a geometric blue print for a hut, there goal is just find good land and new livestock in the new inhibited area. o A European Farmer in countryside would probably use more math than nomads, for the reason that some industrial technology is introduced for easier farming, this is where knowledge to know how to use these technologies is needed.

· Countries with a good economy must be doing well under marketing, which include industry. This shows that many cultures who would value math more, will have better economy because they are able to do well industrially in producing products, selling, trading etc.. o China today is shown to be becoming a super power economically, this may because they value math greatly in the country. This also shown between American and European mathematicians where the Chinese have shown to excess against them.

http://ecfor.rssi.ru/page23/page17/page27/page27.html

What countries have in the past shown to Value math, and also show a good economy like china? Is being a farmer included into heavy industry where math is used heavily?