contributions made by Islamic mathematician Muhammad Al-Khwarizmi to the difference subjects of algebra, geometry and trigonometry. Ideas discovered by Al-Khwarizmi are discussed as well as other concepts that serve as proof of his understanding of various complex ideas we use nowadays. These concepts include simplifying equations, completing the square and trigonometric tables. Key-Words: - Islam, Mathematics, Algebra, Geometry, Trigonometry 1 Introduction Throughout time, cultures and societies have created and discovered amazing concepts that have been passed down and are now considered…
Abstract: This paper is a report on the development of algebra throughout time. It’s slow, but nevertheless, unyielding progression brings us to the algebra we know today. However, it was not always based on the abstract, rather, it was born out of necessity. The need to calculate unknown quantities gave rise to algebraic methods and techniques practiced and taught even today. And, even though nowadays, algebra is a rather abstract mathematics, this was not always the case. It was through…
The unit that will be transformed is a unit is The Building Blocks of Algebra (eMath Instructional Inc., 2016). This unit is in need of a transformation because of the lack of differentiation. Although there is plenty of scaffolding of the new content (Van de Walle, Karp, & Bay-Williams, 2013, p. 23), the approach does not vary very much in its representation (Van de Walle et al., 2013, p. 22-24). The majority of the unit structure is to be straightforward with the content and not deviate from…
Ms. Caldwell definitely deserves being teacher of the year. If you ask me why I will say many things, for example, math wasn’t a subject I valued until I had Ms. Caldwell for Algebra 1. She always helped us and made sure she answered the questions we had. She would make my classmates and I go early in the mornings to her office so we could explain what we had done wrong and if we didn’t understand the material she would explain the material in detail and say why the answer is right. Her…
Different number were even believed to have a cosmic significance or magical powers. However the main thrust of Chinese mathematics came from the Empire’s desire to have administrators that were well versed in mathematics. Therefore in order to educate, a textbook called, “Nine Chapters on the Mathematical Art” was written. This important text became a vital part of Chinese education. This tool provided hundreds of problems in taxation, engineering and payment of wages. The text served as a…
done alright with that mentality until I began studying for myself. I would look into books for biology, and algebra. Algebra was interesting to me because it was simple equations with letters. You would have to just make a letter equal a number, or another letter. For example: 4=x+1; in turn the answer would be x=3. It would then get more complex later on, where the teachers would throw things like, “X=8b+4” which would take longer to solve. The year was a breeze for me. The next year was not…
social environments, numbers surround me. Over many years, I have learned how to derive meaning from them or use them to help me figure things out. During this unit, I have learnt, re-learnt and applied various areas of mathematics to help me achieve the outcomes and find solutions to each ‘Thinking Time Problem’ [TTP] presented. These relate to the Australian Curriculum- Mathematics proficiency strands of problem solving and reasoning, while the ‘What I Know About’ [WIKA] activities relate to…
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 was an engineer who took up teaching after retirement. He very simply could not teach well. He would stand in front of the board and talk through the problem at a pace that was almost impossible to follow. I…
Sometimes, the things we know, we can take for granite. We can learn through teachers reiterating the same advice over and over again, until we can move on to something new. A particular situation can reinforce new lessons that one might have not learned before. We keep forming new lessons, capturing the knowledge to use in years to come. A time that I was so careless in school, getting by with straight A’s my eighth grade year, was corrupted by going into my freshman year, Geometry class. …
Mathematics Class Descriptions I am one of the three mathematics teachers at Rocky Boy High School, which is located on the Rocky Boy Indian Reservation in Montana. Since this school is located on a reservation, 99% of my students are Native American. The mathematic classes I teach at the high school are one section of Advanced Mathematics, two sections of Algebra 1, two sections of high school Pre-Algebra, and one section of eighth grade Pre-Algebra. The other two mathematic teachers cover…