Geometry

In ancient Egypt, the Nile would flood its banks each year, flooding the land and destroying the farm areas. When the waters receded and the people had to redefine the boundaries. This work was called geometry and was seen as a re-establishment of the principle of law and order on earth. (Lawlor, 6) The best lessons that I remember from my own math learning were the ones that involved interactivity with hands-on tools and tasks that connected to real life…

Geometry of Goal Scoring The game of soccer is played by millions of people, players, and teams around the world. In all the games, there is one thing the teams are looking to achieve, scoring a goal. Scoring a goal as in, getting the ball inside the opponents net using anything but hands. One could use their head, knee, chest, thigh, foot, face, and many more and what is used could affect if it is made or not. What some people may not know are the other factors that increase or decrease their…

The repetition of space organizes the spaces throughout. Looking to Figure 5, the spaces have a repetition pattern of ABAB, enclosed to expose. The relationship of repetitive to unique spaces reinforces the geometry, symmetry and balance of the building. Figure 1 shows how the axial line acts as a datum, it organizes the spaces and vertical planes. There is transformation in elevation, looking to Figure 6 the rectangular shape is pulled down to link the…

At about twenty centuries ago there was an amazing discovery about right angled triangles: “In a right angled triangle the square of the hypotenuse is equal to the sum of squares of the other two sides.” It is called Pythagoras Theorem and can be written in one short equation: a²+b²=c² where c is the longest side of triangle and a and b are the other two sides. Pythagoras was born in the island of Samos in 570 BC in Greek in the eastern Agean. He was the son of Mnesarchus and his mother's name…

My chosen area of mathematics is angles in polygons, due to the visual nature of geometry enabling the students to be engaged and stimulated (Chambers & Timlin, 2013). Not only this, but since geometry is present in our everyday lives, students have a basic grasp of shapes, however, they have not developed a critical understanding of what properties define that shape (Bell et al., 1983). This basic foundation knowledge can also cause difficulty when it comes to teaching and learning as the…

Leonhard Euler Leonhard Euler was one of the most important and influential mathematicians in history, as well as one of the most underappreciated. He made contributions to virtually every area of mathematics. It is sometimes jokingly stated that he was so prolific, that many discoveries were named for the first person after Euler to discover them (Richeson, 2008). The base of the natural logarithm, e, is named after Euler, as well as the Euler-Mascheroni constant, also called Euler’s constant.…

I visited the Modesto Junior College Art Gallery, it is located on the East Campus in Modesto. The title of the artwork presented that day was “Geometries in Cold Welded Steel.” This artwork was presented by the artist Tom Duchscher. Duchscher has been teaching design, sculpture, and ceramics at MJC for the past 40 years. His work has been exhibited throughout northern California and pacific northwest. For the past four decades Duchscher has dealt with the exploration of geometric forms and has…

I continued on in high school with geometry, a second year of algebra, precalculus, trigonometry, and calculus. Thus far, my math courses in college have also been easy for me. My least favorite teacher was my calculus teacher, and it was not solely because of the tough subject matter. He…

Euclid’s work, Elements, is based around the early mathematical understanding of what is present day geometry. The work begins with definitions. The Oxford English dictionary labels the process and point of definitions to be, stating or describing the nature of scope of meaning of a specific term. (‘Define’) Euclid’s first definition is, “a point is that…

Math has many significant aspects. However, it wasn’t until I was assigned this assignment, that I fully understood the wide variety mathematics encompasses. Math has a specific part called Geometry, it is this section that I am going to mainly focus on. Geometry consists of shapes. These many shapes can then be put together to form patterns. They are the Golden Ratio, Fractals, Spiral Growth, and Voronoi Patterns. The Golden Ratio consists of ratios which the two larger sums are equivalent to…