Maths+as+AOK

**Math as an Area of Knowing**

 * With the Moon as our starting point to link the Ways of Knowing (WOK's - Think PERL) and the Areas of Knowing (AOK's - Think IB Hexogram - Math / Natural Sciences / Human Sciences / Arts / History) we will a) make sense of some of the Math questions raised in our Moon Perception exercise and b) have fun interpreting some quotations about Math as an AOK.**


 * Copy the following onto your Math page and add your thinking:**


 * A. Record here 3 Math Questions raised in class that interest you. Then under each write your answer/s and reflect on your process for expanding your knowledge in that area.**


 * Q1.**

How many craters are there in the moon?

Approximately 300,000 craters with diameters of 1 km. There are millions of other little ones.

I just searched through the Internet for information as I did not know anything about this question.

What is the velocity of the moon? - orbit
 * Q2.**

Fully orbits in 27.3 days, and its speed is 1.023 km/s. This is pretty slow and that is why it is visible to see the many changes and stages of the moon cycle with the naked eye.

I knew that the Moon fully orbited within a month, but I had no idea about to speed to I searched up some websites off the Internet.

What is the size of the moon compared to other moons?
 * Q3.**

Fifth largest satellite in the Solar System. List of moon sizes: Satellite of Jupiter Satellite of Saturn Satellite of Jupiter Satellite of Jupiter
 * Satellite of Earth **

Q4) How many moons would fit inside the Earth?

It is said that less than 36 moons can fit into the planet Earth. There has been research shown that if the moons were mathematically cut up to fill the entire space of the Earth then it would probably have a limit of less than 49 times. But due to the Moon's spherical shape, there has to be empty space, so therefore it cannot reach up to 49 moons, it can only go up to 36.

Q5) What is the escape velocity of the moon?

2.38 km/s

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Q6) Does the distance between the moon and the earth change over time?

Yes, The distance of the moon from the earth increases by 38 mm per year.

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Q7) What is the diameter of the largest crater on the moon that can be seen on Earth by the naked eye?

Tycho, it is located in the southern lunar highlands.

**Q8. How much light does the moon produce? **
 * None, it reflects light form the sun it does not produce light. **


 * 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.**

This means that Maths is an area that requires people to associate with each other. If this doesnt happen, everything falls apart and would not make sense because you need to share it with others.
 * "Mathematics is neither physical nor mental, it's social." Reuben Hersh, 1927-**


 * "The useful combinations (in mathematics) are precisely the most beautiful." Henri Poincare, 1854-1912**


 * "Mathematics is the abstract key with turns the lock of the physical universe." John Polkinghorne, 1930 -**

This means that the math behind the stuff that are precious to us cannot be counted in a way that they are intangible, it cannot be expressed in numbers as it is our feelings. The actual math does matter but doesn't matter as much as the math behind our feelings.
 * "Everything that can be counted does not count. Everything that counts cannot be counted." Albert Einstein, 1879-1955**


 * "The mark of a civilized man is the ability to look at a column of numbers and weep." Berterand Russell, 1872-1970**

This means that mathematicians are responsible for turning simple ideas or nonsense into logic and common sense to make it easier for others. Or.. It means the complicated stuff expressed in a formula and theorems for others to use.
 * "A mathematician is a machine for turning coffee into theorems." Paul Erdos, 1913-96**


 * "Mathematics began when it was discovered that a barce of pheasants, and a couple of days have something in common: the number two." Bertrand Russell, 1872-1970**


 * To speak freely, I am convinced that it (mathematics) is a more powerful instrument of knowledge than any other..." Rene Descaret, 1596-1650**


 * "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-**





In my opinion, I think Math cannot be true without being proven. This is because all the logic behind Math has proof and formulas that has been proven to work from the past. We know this from previous Mathematicians who have passed down their knowledge to make it simple for us.

All the mathematical statements have been proven before and therefore by definition, we know that it is true without proving it ourselves. But it all leads up to the proof before because without proof, how do we know it is true or not? Without proof, it is just a theory. And theories are not always true, because they are just some assumptions without proving. Theories are not necessarily correct all the time. There is probably not enough truth and back up behind it.

My definition of true is that it has to be proven first to know that it is for sure that it is true. Another example is that if we see the signboards that say the distance from point A to point B, how would we know it is true without going there ourselves? The signboard is not completely true if we don’t know the proof but we know that it’s true because someone else was there to prove it for us first. To sum up my point, we need proof or some back up to know that it is true.