Chapter 3 The Relational Model Review Questions 3.1 Discuss each of the following concepts in the context of the relational data model: (a) Relation (b) Attribute (c) Domain (d) Tuple (e) Intension and Extension (f) Degree and Cardinality. Each term defined in Section 3.2.1. Domain – Set of atomic (indivisible) values. Attribute – it describes a component of the database, such as a table or a field. N-tuple – in mathematics, an ordered set of n elements called its components or coordinates. Relation Schema – It is representation of database highlighting relationships that we have created. Relation State – set of tuples that have the same attributes.…
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…
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…
There is also evidence of the use of decimal numbers in cuneiform mathematical texts most notably in several centuries older division exercise from the ancient city Ebla (Friberg 2000, 1986). On the front side of the hand tablet (UET 6/2 222) is a proverb, which is translated by Friberg to mean “when a dog bites, the morsels get into its mouth” (see figure 2). The presence of proverbs on one side of the tablet was common. On the reverse side of the tablet is an example of a square root of a…
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…
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…
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…
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…
Is Algebra Necessary? By The New York Times Algebra is necessary because it is the branch of mathematics that studies l combining elements of abstract structures according to certain rules . Originally these elements would put be interpreted as numbers or quantities, so that the algebra somewhat originally was a generalization . The adjective " algebraic " usually denotes a relationship with algebra , such as in algebraic structure . For historical reasons, it may also indicate a relationship…
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…