What is the basic root of mathematics taught in school?
What is arithmetic?
100
A six year old learning to add up fruit is an example of _____________?
What is discovered?
100
How are math proofs different than other areas of knowledge?
Its justifications that leads to proofs are in artificial context opposed to experimentation or backup with written/historical evidence
100
What is 1+1
2
100
Something in nature that expresses the Fibonacci sequence
What is a pine cone?
200
What way of knowing backs up the claim of 1+1=2?
What is Description?
Coherence truth test- it exists through applying outside knowledge, filtering with what you know, and finding it to be true or false
Is it rationalism or empiricism?
200
How are the petals on a flower and the spiral patterns Romanesque broccoli similar?
What is Fibonacci squence
200
What type of reasoning do you use when making generalizations?
Inductive Reasoning
200
5(4+9)-(7^3)+5*3+332
What is 69
200
What is one way that math and art are connected?
What is culture? Human understanding of these areas isn't affected by boundaries of separation or differences
300
What is a common knowledge claim that is learned in school?
What is 1+1=2?
OR the angles of a triangle add up to 180 degrees?
300
Einstein and Euclid believe that math is what?
What is invented
300
Triangle Proof Problem
Proper Steps verified by Miyachi
300
f(x)=2x+3
g(x)=1-x
find (f(dot)g)(x)
5-2x
300
How can it be argued that the process of creating mathematical proofs and making art are similar?
What is creativity?
400
What does Dr. Bruno Buchberger's model contend about mathematical discovery and the formation of mathematical knowledge?
That is takes place in stages
400
"The sum of three angles of a triangle is 180 degrees" and "Parallel lines never intersect" are examples of what?
What is invented math
400
Give one proof of the Pythagorean Theorem
Proof verified by Miyachi
400
Solve using the quadratic formula
(x+3)(2x+1)=9
-(7/4)+-(sqrt(97))/4
400
What is an advantage of mathematical language?
It can express ideas that conventional written or spoken words cannot
500
Having a likeness to a scientific method which requires careful observation and a gathering of relevant factual support is ____________.
What is quasi-empirical?
500
The Fibonacci Sequence is what kind of math?
What is discovered math
500
Circle Example Proof!!
How many regions is the circle cut into with 6 points on the circle.
31
500
Find two angles x on the unit circle between 0 and 2pi
sin(x)=39/40
x=1.35 or 1.79
500
Do you think that an artist needs to understand math? Why?