mathematicians, I’m going to focus on Jiu Zhang Suan Shu [Nine Chapters on the Mathematical Art] composed by Chinese scholars around 2nd century BC-10th century AD. I will use the binomial expansions derived from Pascal’s triangle as an example and then illustrate the coefficients expansion in general. After that, I will introduce Jade Mirror of the Four Unknowns written by Zhu Shijie around 14th century AD. My focus will be his idea of using the “four unknowns” to convert a problem into a mathematical system of polynomial equations. Later on, I will also…
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…
Mathematicians have been around for centuries. They have contributed great amounts of knowledge to the world. A mathematician is a person who excels or is an expert in mathematics. One specific mathematician that brought great ideas into the world was Gottfried Leibniz. He contributed a lot to mathematics, science, physics, philosophy and even his local government. Mathematicians are very important because without them we would not have many important theories that explain why certain things…
It may also be the way the education system in America teaches mathematics which hinders students from properly knowing how to put a problem like that into story form. There is obviously something wrong with our system and…
“Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.” By Richard Courant. Mathematics is not just a mere subject which only consists of numbers but a universal language. Mathematics can be defined as “the study of relationships among quantities, magnitudes and properties, and the logical operations by which…
issue is fulfilled with complication and diversity, because it reflects how new generation impacts the future of a country. For a long time, the education model in China has never been changed, which is called gender-neutral education. On the historical background, the Chinese government propaganda that men and women are same which in other words no gender difference exist between men and women. The purpose is to change stubborn people minds that men enjoy higher status than women, which…
I. Introduction I became interested creating and applying methodologies for mathematics education because the entry-level mathematics students often encounter difficulties in understanding magnitudes of large numbers. I shall begin my case study from some experiments that how accurately the children could estimate the numbers magnitudes by various aspects of a stimulus. Thus far, my research has followed two lines of inquiry. The first line of study is to identify children’s different…
and kinesthetic learners. My lessons will include hands-on activities, drawing, manipulatives, whole/small group instruction, focus on building vocabulary, and modeling clear expectations and directions.] b. Personal, cultural, and community assets related to the central focus—What do you know about your students’ everyday experiences, cultural and language backgrounds and practices, and interests? [Throughout my student teaching experience, I have built a positive relationship with my…
, p.22, 1996) Anaximander's greatest contributions to astronomy are his theory of the earth floating unsupported in space (Shuttleworth, 2010), his idea that the universe could be unbounded (Shuttleworth, 2010), and his method of theorizing abstractly about the universe without resorting to divine explanations. Pythagoras and Astronomy It is said that Thales and Anaximander were able to influence and encourage an interest of astronomy and geometry in Pythagoras of Samos, the legendary…
The History of Mathematics Almost from the beginning, math or rather counting has been part of human existence. Close to the time language was discovered, humans have be using there indexes to begin counting. Counting seasons, counting days, along with keeping track of passing time have all been a part of earlier human civilizations. Prehistoric artifacts dating back over 20,000 years have suggested that early humans made attempts to quantify time. Therefore, it is no accident, that the…