Mathematics Essays

Bayes’ theorem describes the relationships that exist within an array of simple and conditional probabilities. For example: Suppose there is a certain disease randomly found in one-half of one percent (.005) of the general population. A certain clinical blood test is 99 percent (.99) effective in detecting the presence of …

Introduction Radio Frequency Identification (RFID) devices have seen rapid adoption in recent years. RFID enabled a plethora of innovations across various industries, such as real-time inventory tracking in supply chain management. Implementations of the technology have gone far beyond the supply chain focus that had generated much hype for it …

A project like this is never the work of anyone alone. The contributions of many different people, in their different ways, have made this possible. We would like to extend our appreciation especially to the following. Thank God for the wisdom and perseverance that he has been bestowed upon us …

The four color theorem is a mathematical theorem that states that, given a map, no more than four colors are required to color the regions of the map, so that no 2 regions that are touching (share a common boundary) have the same color. This theorem was proven by Kenneth …

Today, the Pythagorean Theorem is a mathematical idea studied in classrooms all over the world. It was developed hundreds of years ago by Pythagoras, a Greek man, who was not only a mathematician, but a philosopher, a scientist, and a religious leader as well. In his lifetime, Pythagoras discovered and …

Mathematics is all around the young child from day one. For example certain matters like “How old are you?” “You were born on the 2nd” “I have 2 brothers”. Number itself cannot be defined and understand of number grows from experience with real objects but eventually they become abstract ideas. …

Because of the rigidity of a truss shape, it is not difficult to find the familiar triangles in many structures. Designers must accurately determine how much force occurs at locations of a truss design. The designer may change the material, the amount of material, or the number of members in …

The math teacher can teach students about exponential notation. Once students become proficient in reading and writing numbers in exponential form, and in converting numbers between exponential, factor, and standard form, they can apply this knowledge to topics in science. For example, they can write the distance between the sun …

The mathematician S. Gudder once stated, “The essence of mathematics is not to make simple things complicated, but to make complicated things simple.” Although it seems extremely complex, the idea of mathematics seeks to simplify the unpredictable occurrences of life. Mathematics, the study of quantity, structure, space, and change, exists …

Research studies have evaluated the effectiveness of manipulatives as a tool in mathematics instruction. One line of research has studied the Concrete-Representational-Abstract (CRA) sequence of instruction, a form of explicit instruction that moves students from concrete manipulatives topictorial representations of those manipulatives and finally to abstract concepts. Butler, Miller, Crehan, …