Elementary mathematics

Math has always been a favorite subject of mine and although I have never been the insightful mathematician, and I still struggle with abstract math problems, I always have a positive attitude toward the subject. Growing up in the elementary grades, I recall always getting good grades in math, but usually, those math problems only require the use of traditional problem solving methodologies. During that time, I loved solving math problems which involved only numbers, finishing a math problem…

After that, I intend to return to school to get my Ph.D. in mathematics education or a related field, and then I would like to teach and research at the college level. As far as research/project interest are concerned, one area I am particularly interested in is getting more women and minorities into STEM fields. Throughout…

bright future for the country and the world then significance needs to be placed on the education of children. The best way to do this is to reduce class sizes and allow students to learn in a more individualized environment. Large class sizes in elementary schools have been the easiest solution to budget cuts in education but are doing nothing but hinder a child’s learning potential. Children with disadvantages in their home life suffer greatly in large classes because they will not feel as…

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…

The Value of Practice in Mathematics and Natural Sciences With respect to two areas of knowledge, consider the claim “Without application in the world, the value of knowledge is greatly diminished." Knowledge is a treasure; without it, we would not be where we are. The only reason why the human race has lasted so long is because of the application of knowledge. What is knowledge? Knowledge is the accumulation of ideas and concepts in someone’s mind. Knowledge can be taught or can come from…

Throughout my life mathematics has been something that is always pushing me to go beyond my limits and discover something new. Something that I thought I could never have achieved before. Every single time I face a new and exciting problem, I look forward to trying my best to find the best way to solve the problem. Along the years this evolved into some sort of life statement. I always wanted to try to be as exact, precise, accurate, analytic, and logical with every single issue I encountered…

Speaking in Numbers: The Language of Mathematics Literacy is commonly used to refer to one’s ability to speak and decipher a language. However, it is possible to be literate in areas or skills besides traditional spoken language. For example, it is possible to be literate in sign language, or mathematics. After all, mathematics is defined by Dictionary.com as “the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically.”…

Abstract: - Leonhard Euler is considered to be one of the greatest mathematicians of all time. He made incredible discoveries to many subject areas, but most were to the field of mathematics. In this paper we explore Euler’s mathematical contributions including formulas/identities, concepts and notations. We see how Euler’s formula came to be and the story behind it along with Euler’s identity. We then explore Euler’s approaches to the Basel and Seven Bridges of Königsberg problems and his…