Chinese mathematics

written numeral system. The new advances in mathematics became too detailed for the human brain to remember so the need arose for the written system. The Egyptians felt the need to move away from oral culture because of the importance of the information being discovered thus the written langue was developed. Throughout history, different cultures have created different ways of representing numbers. Because of the need to record the many new mathematic findings in Ancient Egypt around 3000…

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…

[Prior to teaching the three lesson segment, I had my students take a pre-assessment test that focused on addition and drawing images that represent numbers partners to find the total. I chose this assessment because I wanted to see evidence of what my students already know about addition, what they can do, and how I should modify my instruction based on my students’ needs. The test consisted of four addition problems, two problems with drawing that the students were expected to count and add…

The history of Calculus can be traced back as early as the 5th Century B.C.E. in Ancient Greece. The first major discovery was made by a Greek scholar named Hippasus. Not much is known about this philosopher who studied under Pythagoras; but, he has sometimes been credited with the discovery of irrational numbers. \begin{center} \includegraphics[width = 6 cm]{triangle.png} \end{center} He described his reasoning as: \begin{enumerate} \item Start with an isosceles right triangle with side…

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…

philosopher and mathematician. (O'Connor & Robertson, 1999d) As a young man, Pythagoras visited Thales in Miletus, and Thales had been able to create “a strong impression” upon Pythagoras. Pythagoras also attended Anaximander's lectures on cosmology and mathematics while in Miletus; these also influenced him. (O'Connor & Robertson, 1999d) Pythagoras taught that the earth was a sphere, and he is claimed to be the first man to do so. (Mcclung,2011) However, according to Mcclung, there seems to be…

intellectually disabled, that student can benefit from such things as group help. Other students, or a teacher, can read the math problem to a student and help him or her interpret the problem. If the student is otherwise proficient in computational mathematics, the student will easily see how to work the…

Lesson Analysis & Reflection The lesson analysis and reflection will be over a mathematics lesson taught to a small group of second graders in a resource room. The timing of this lesson was appropriate. I had enough time to go over the lesson thoroughly. I finished a few minutes early and was able to re-iterate the strategies taught during the lesson. I was also able to implement more problems to make the lesson more concrete for a better understanding of the strategy. The benefits of this…

A relationship with numbers and codes is my fate. I learned math for an Olympic Mathematics Competition that I’ve been involved in since I was 9 years old. I became familiar with algorithms like congruence, Horner algorithm and graph theory before I could use a computer. Now as a senior in the school of mathematics at XX University, one of the top three mathematical schools in China. I chose math as my major to build a good mathematical foundation to thoroughly learn about computer science. With…

which geometry became to have a large impact on high school math education (Gagatsis, Demetriadou 105). The Greek’s curriculum followed the Bavarian curriculum which focused 53.2% on literature and 19.2% on mathematics (Gagatsis, Demetriadou 105). The Greek syllabus in 1857 for mathematics included plane geometry (angles, lines, circles) and space geometry (solids, area, volume) (Gagatsis, Demetriadou 105). They also included analytic geometry which is “the study of conic sections…