According to Webster’s online dictionary, effective is defined as “successful in producing a desired or intended result” and teaching is defined as “activities that impart knowledge or skill”. A combination of these two definitions could lead one to believe that effective teaching is activities that impart the desired knowledge or skill. While this definition is very concise, I would propose that the definition is missing an important aspect. Teaching, or instructional activities become effective
Learning how to solve quartic polynomials, which are polynomials in degrees of four in the form of f(x)=ax^4+bx^3+cx^2+dx+e, is not a very hard thing to do. It just takes a little time and dedication as well as knowledge about things such as end behavior, local extrema, zeros, Descartes rule of sign, intermediate value theorem, rational zero theorem, remainder theorem, remaining zeros and multiplicity and intercepts to understand the quartic polynomial even more. In this paper, all of
Chaos Theory Explained “Traditionally, scientists have looked for the simplest view of the world around us. Now, mathematics and computer powers have produced a theory that helps researchers to understand the complexities of nature. The theory of chaos touches all disciplines.” -Ian Percival, The Essence of Chaos Part I: The Basics of Chaos. Watch a leaf flow down stream; watch its behavior within the water… Perhaps it will sit upon the surface, gently twirling along with the current
with the textbooks and comprehending the academic content. Section 10.1 of the Algebra 1 textbook (Larson, Boswell, Kanold & Stiff, 2007) is analyzed for comprehensibility and strategies to support students to connect with the text at intellectual level (Vacca, Vacca & Mraz, 2011). The chapter ten of the textbook will be thought at a tenth grade class during the week of March 11, 2012. Most of the learners in this Algebra 1 class are classified as level three and level four ELL students (California
requires algebra is an Animator. Animators have to draw all kinds of pictures and cartoons and it requires them to use linear algebra for every movement a character or object may make. Algebra also helps create special effects to make the images shine and sparkle. The requirements you must have to do this type of job is that of course you have to have talent, some type of degree in animation, and be pretty decent in math. Animators make around $47,000 a year. Another job that requires algebra would
Kate wanted a relationship for a long time - and finally, she had met Aaron and they started dating. They went on a couple of dates and had a great time together. Aaron recently graduated from university, so he wanted to take a few months off, before applying for a steady job. This change also gave Aaron an opportunity to shake off some of his romantic dust and find new ways for Kate and him to spend time together. At first, Kate was delighted with Aaron’s sense of romance and creativity, but as
Feminism constantly works to eliminate oppression, inequality and discrimination. A highly important tool used by feminists to assess differences among individuals in society which the author of “Feminisms Matters”, Victoria Bromley critiques is called intersectionality. Intersectionality enables one’s critical thinking about a person’s multiple identities and also goes into a deep investigation about how these identities are interconnected as to discover the roots of inequality. These multiple identities
Solution of the Cubic Equation The history of any discipline is full of interesting stories and sidelines; however, the development of the formulas to solve cubic equations must be one of the most exciting within the math world. Whereas the method for quadratic equations has existed since the time of the Babylonians, a general solution for all cubic equations eluded mathematicians until the 1500s. Several individuals contributed different parts of the picture (formulas for various types of cubics)
Emmitt Smith & His Annual Rushing Yards Emmit Smith announced his retirement February 3, 2005. It was a very emotional moment for Smith, who has played running back in the NFL for fifteen years (thirteen of those years for the Dallas Cowboys). As Smith announced his retirement tears began to flow down his face stating “It’s been a tremendous ride.” Over his career in the NFL, Smith has racked up many impressive statistics and awards. Smith has played on three Super Bowl championship teams (including
I selected to do a small group math lesson. At this time of the year eighth graders are reviewing for Standardized Testing. One of the things they need practice on is their algebra skills, such as solving linear equations. The focus of this lesson was on solving linear equations with one variable. There are various standards that deal with solving equations, but for these students I narrowed it down to single-variable equations: Solve linear equations. The Alabama standard used from this lesson was
When a person has enough power in a society, it gives them a lot of control over certain things. When they have this control, they can have ownership over a person or a thing. By naming someone, or something, a person gains an unspoken ownership over him or her, they are now in control of him or her and it has created a new identity for them and erased their old identity. Power, naming and un-naming, control and ownership and identity are very important elements in “Mary” and “No Name Woman”. Both
Why Do We Teach Algebra? Until recent history, mathematics had not been taught to the general population. Only those who were rich, powerful, and/or politically connected were given the opportunity to study math beyond basic counting operations. Many of my junior high students are excited about the prospects of returning to this situation. I have the opportunity to teach remedial math and math study skills courses for a local university. Many of the college students with whom I am involved are going
Comprehensive Portfolio Project Alex Abel Table of Contents Title 1 Table of Contents 2 Matrices 3 Solving Systems of Equations 4 Solving Systems of Equations Cont. 5 Matrices Examples 6 Matrices Examples Cont. 7 Set Theory 8 Set Theory Examples 9 Equations 10 Equations 11 Equation Examples 12 Functions 13 Functions Cont. 14 Function Examples
Purpose The purpose of this experiment is to use our knowledge from previous experiments to separate a copper compound and from there make calculations relevant to the experiment. The calculations that we had to make in this experiment had to do with finding the percentage of copper in copper compound and from there find the formula weight of the copper compound. Question or Problem The question that was proposed by the instructor for investigation was: Can the % composition of an element in a compound
Linear Equation Lesson Plan Linear equations are used in everyday life without much thought. However, when students are first learning to set up and solve a linear equations, it seems to be a difficult task for most. There are three main formulas a student needs to keep in mind when solving a linear equation. Beyond the formulas, the most important aspect of a linear equation is the slope. In the State of West Virginia, Math 1, which is usually comprised of ninth graders, is where these standards
Math in Volleyball Name Institution Math in Volleyball A good service in volleyball is important to a winning strategy. Either an effective serve will not be returned, leading to a point, or it will be returned with minimal strength, providing the serving team with the advantage. One aim of a good serve is to provide the receivers with little time as possible to react. Forces and angles are the two main factors at play when relating volleyball with math (Papageōrgiou & Spitzley, 2003). In short
Growing Squares I have decided to find a formula to find the nth term. To help me find the nth term I shall compose a table including all the results I know. Pattern Number Number of Squares 1st Difference 2nd Difference 1 1 4 4 2 5 8 3 13 4 12 4 25 The 2nd difference is constant; therefore the equations will be quadratic. The general formula for a quadratic equation is an2 + bn +c. The coefficient of n2 is half that of the second
Triminoes Triminoes is a game similar to dominoes. The game is played using triangular pieces of card. Each card has three numbers on it. Instead of drawing the triangles I will write the three numbers in brackets below. E.g. (000) (001) (002) (011) (012) (022) (111) (112) (122) (222) The aim of this investigation will be to: 1. Investigate the relationship between the number of Triminoe cards
A Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape. This is u In this task I will investigate the patterns in the intersections of parabolas and the lines y = x and y = 2x. Forming a conjecture that holds true for the vertex of the parabola being in the first quadrant and then change it so it holds true for the vertex is in any quadrant.
In this portfolio task I have investigated the patterns in the intersection of parabolas and various lines. I have formed a conjecture to find the value of D of the parabolas, which are intersected by 2 lines, of varying slopes and shown the proof of its validity. I have used the TI-84 graphic display calculator, the software Geoegebra and Microsoft Excel to do my calculations. I have even investigated the values of D, for polynomials of higher powers and tried to come up with a general solution