The question I wish to answer is why BBP formulas are so much better at calculating pi than any other method that came before it. I find it interesting that this method only provides the exact digit of pi in question and does not require the calculation of any of the previous digits of pi. For all of the methods that proceeded it like the polygon approximation and infinite series methods, each digit was required to be calculated before the next one could be found. Another compelling fact is that this avenue of calculating pi has been hypothesized as the key to discovering whether pi is truly random or not. Though it is still unproven as of now so I don’t expect to make any breakthroughs myself, uncovering more about this topic interests me…
Elementary American Indian Students' Math Achievement with Inquiry-Based Mathematics and Games” describes a 2008-2009 ethnographic case study of four fifth grade classrooms with varying levels of Native American student enrollment (Stone & Hamann, 2012). Dr. McMillan (2016) refers to ethnography as “the quintessential qualitative approach” (p.312). Stone contends that it remains necessary to “account for what was actually happening with American Indian and other children in these classrooms”…
Abstract: This paper reveals the birth of mathematics. Representing quantities in some way is considered the first invention of mathematics. We use mathematics every day in one way or another. Sometimes we even use mathematics unconsciously, as in the case of filing a cup of water for cooking. The measure cup is readily available to us and all we have to do is fill it out, but who started this type of measurement? How old is mathematics? Specifically, how old is counting? When was representing…
Brahmagupta and His Significant Discovery Brahmagupta was born in 598 in Rajasthan, India and he was an Indian astronomer that may not get all the credit he deserves. Being an orthodox Hindu, he was very interested in the Hindu yuga system that focused on the measurement of the ages of mankind. Even though he mostly devoted his time to Indian astronomy, Brahmagupta when writing his books implemented a great amount of mathematics. This was seen especially in his most famous work…
My High School Mathematics Class Descriptions I am one of the three mathematics teachers at Rocky Boy High School, which is located on the Rocky Boy Indian Reservation in Montana. Since this school is located on a reservation, 99% of my students are Native American. The mathematic classes I teach at the high school are one section of Advanced Mathematics, two sections of Algebra 1, two sections of high school Pre-Algebra, and one section of eighth grade Pre-Algebra. The other two mathematic…
RAMANUJAN’S CONTRIUTION IN MATHEMATICS: Ramanujan’s main contribution in mathematics discusses on mainly in the analytic also game theory and infinite series. He made many in depth analytics in order for the aim to solve various mathematical problems by bringing to light new and novel ideas that gave impetus to progress of game theory. He was such a mathematical genius that he discovered his own theorems of different kinds. Ramanujan stands upright most of the time, he is one of the greatest…
The Hellenistic era was the time that the Greek civilization really reached its highest point. Alexandria, the capital of Egypt was the main area where the culture spread. Alexander the Great ruled over most of the land and he spread the Greek thought and culture just as his tutor, Aristotle, taught him. Many different people such as Egyptians, Greeks, Jews, and Indians occupied the area of Alexandria but that didn’t change the Greek civilization from spreading. “While the Hellenistic world…
They began to develop more theories and concepts to make their lives easier with counting. Many of these civilizations began to create a concept of nothing. This nothing is what eventually will evolve and develop into our modern day zero. The Indians used a symbol of an “M” with an “o” on top of it to symbolize “by the power of 1000” which started the investigation towards a symbol for nothing. Soon after the Alexandrians and Mayans started to use actual symbols for something that resembles…
Religion was also a main part of Pythagoras’ life, which eventually leads him to set up Pythagoreanism where he had followers and disciples who read and taught the teachings of Pythagoras. Never before had mathematics and philosophy played such a large role in life and religion than it did among the Pythagoreans. There is little that can be said completely fact about Pythagoras but there are some things we can say about him to be certain. Pythagoras was born on the island of Samos, which was a…
God, One of the most famous Sufi poets was Omar Khayyam.” ( Page 2 paragraph 6) Though Omar Khayyam might have made literature important because most of the world is Christianity, but astronomy is more important. According to the text it states “ They created charts that showed positions of stars and planets,” ( Page 1 paragraph 7) also “ They measured the size of Earth and developed precise calendars.” ( page 1 paragraph 7) This is more important because without that discovery the world has…