Mathematics education

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…

Robinson Mathematics Festival in 2007. As a student in middle and high school, Nancy enjoyed solving math problems with her father. She didn't enjoy the competitive atmosphere and time constraints of most math contests, but was intrigued and inspired by the qualifying problems of the yearly math contest sponsored by Saint Mary's College in Moraga, CA. As an adult, she found that the Saint Mary's Math Contest no longer existed, and connected with Joshua Zucker, a high school mathematics…

s: Translations are the process of moving around all of the coordinates that make up a shape. All the points move the same distance in the same direction. The transformation is isometric which means that it does not change in shape or sides. If the pre-image moves either right or up the coordination would be adding. If the pre-image moves either left or down the image would be subtraction. The picture to the right is an example of translation. The answer to the question at the bottom would be…

Greek mathematician and inventor who made significant changes to a number of fields and developed huge breakthroughs during his time. His discoveries, like figuring out how to find the surface area and volume of a cube, have had a great impact on mathematics and many other areas of science well. He was born in approximately 287 BC in Syracuse, Sicily, and spent the majority of his life working in and for this city before finally dying there in around 212 BC. Throughout his life, Archimedes…

Khaos translates into chaos and means “gaping void” in Greek. It describes confusion and a lack of organization and order. Order and chaos are key points in creating tension and suspense in any form of entertainment. The Greeks are widely known for creating some of the best plots and themes involving the conflict of chaos and in their plays. Oedipus Rex written by Sophocles is a prime example of the Greeks’ fondness of chaos. The character Teiresias causes the most chaos with the least effort.…

versions of his calculus. In 1684, he published his first works of Differential Calculus. Then a couple years later in 1686, he published his explanation for Integral Calculus. Because people had never known this form of mathematics, many believed Leibniz had created a new form of mathematics. Thus, the people were about to embark the longest controversy ever. A year later, Newton published his book “Philosophiae Naturalis Principia Mathematica.” His book, he explains his three laws of motion,…

Unit 3 Discussion In mathematics, squaring a number is basically multiplying it by itself. It is simply impossible for two different numbers, when squared, to give the same results, because all positive real numbers have two square roots; a positive and a negative. For instance, in the following problem,(x^2=4) although it may seem as (x = 2) is the only solution, that is not true. If you solve using the Square Root Property, you can conclude that there are two solutions; (x = 2 or x = -2). In…

Katharina Gsell, though only 5 survived to adulthood. He had 2 spouses. Salome Abigail Gsell from 1776-1783, and Katharina Gsell from 1734-1773. Leonhard was a Swiss mathematician and physicist, which helped in him being one of the founders in pure mathematics. Euler contributed to analytic geometry and trigonometry. Euler's work also revolutionized the fields of calculus, geometry, and number theory. In Euler’s younger years, his father wanted him to be a clergyman. Which is a male priest,…

always get the right answer. For example: 8-2+1. Is it 5 because 8-3=5? Or is it 7 because 6+1=7? Is 6/3/3 equal to 2/3 or 6/1? The issue here is that focusing on the order of operations can lead to ambiguity and obscures the real beauty of mathematics.…

Initial Goals: My initial goals for the program was to take in an equation like 5*(4/3+2^(3-1)) and return the answer to it (26.666667 in this case). I intended it to work with simple arithmetic (multiplication, division, addition, subtraction, exponents, and parentheses). My initial brainstorming resulted in an iterative action. The program would follow the order of operations and begin with the contents of innermost parentheses and replace that portion of the input with the answer before…