As one of the most important areas of Mathematics that can be utilized in various other branches of Mathematics and real life applications like Optimization, Econometrics and so on, Algebra needs a very good foundation. Algebra 1 teaches students various concepts, tools and techniques to understand basic linear equations and inequalities, word problems and hence apply them later in more advanced courses.
It is crucial that a student knows how to work with fractions; both constants and variables, indices, linear equations, quadratics, polynomials, rational expressions and radical expressions as well as basic probability and data analysis. These topics will prepare student for further advancement and understanding.
I have tutored Algebra 2 for more than two years now. I have used various technological tools like Maple and WebAssign to help students solve complex problems.
My approach to helping students learn algebra is to consistently remind them of basic stuff while they delve themselves into complex problems. I like to tell students, "You are working too hard." This means, I have a better and simpler way of understanding and solving the problem.
When students get too submerged into problems, they tend to forget basic stuff. That is where reminding them of basic concepts becomes important. One of the examples is when students see a really long equation, they automatically think it involves some complex formulas and techniques while it can be just broken down with simple concepts.
I have been preparing students for ASVAB at various levels. I specialize mostly in General Mathematics and Arithmetic Reasoning. Sometimes, I assist students in Science as well. Having understood the need of both basic algebraic and arithmetic expressions, I improve students performance in Arithmetic reasoning. The arithmetic reasoning also called word problems, if not analyzed and learned well can lead to poor performance. I make students understand complex word problems by giving simple real life examples to compare which helps them understand the problem. My philosophy is to not think, it is complex math but a simple real life word problem.
Having taken Calculus in high school as well as college with grades of A, I have extensive learning, training and thorough understanding of Calculus I, Calculus II and Calculus III. Similarly, I have self-taught Calculus IV as well. While I was at college, I used to help my friends with their homework, practice and concept development to perform better in their tests. I was consistently the best student. After completing Calculus sequence, I started tutoring the course to junior students at various levels. While Calculus involves a lot of limits, derivatives, integrations, functions, vectors, trigonometry and algebra, it is not limited to only those areas.
I have been playing chess since my childhood and I am good at it. During my college, I was a finalist in a chess tournament that was conducted on Hogwarts day. I played on the quad with students as chess pieces dressed in corresponding ones. I won all the qualifying games and lost against my Mathematics professor in championship. In my college, it is a glory for my friends to win against me. I play random and strategic. My random play is such that the opponent cannot predict my moves. If the opponent is playing with strategy, I deploy my defense strategy as well as offense. My favorite piece in chess is knight.
I am a Data Analyst. Although I mostly do data management, I require quite a lot of programming in the process. I am experienced in VB.NET and have working knowledge of Java. Most important part of computer programming is understanding the business logic, work-flow and efficiency. I also write few SQL programs as well.
I was an Economics major in college and tutored the subject to juniors. Mostly, I tutored microeconomics, macroeconomics, econometrics and international economics. Although students seem to understand the concepts, sometimes they tend to forget that those concepts are easily applicable in real life. Students seem to be scared of graphs and some calculations. Having excelled at classes and tutored the course for a long time, I specialize in graphing and calculations along with the thorough understanding of concepts.
While the GED test can be challenging, there is a way to make it easier. Correct timing, study habits, right materials and with qualified people, GED can be earned. Especially with GED Math section, students need to learn various topics including basic math operations, probability, Pythagoras theorem, combinatorics, angles, word problems and so on to qualify for the test. I have been tutoring various math classes which has given me opportunities to understand students' needs.
Geometry, as one of the foundations of Mathematics, involves study of various shapes and sizes which relates to algebra and trigonometry. Geometry includes topics like points, lines, planes, triangles, squares, rectangles and other figures. The study involves proofs like congruent triangles, relationships, areas, perimeters, volumes, angles and total angles.
I took Microsoft Excel in college. Apart from learning various tools to present data, generate graphs, query, create data relationships and filter, I have used it extensively to do research as well. I have used Advanced excel tools to manipulate, analyze and present historical Nasdaq prices to predict next day price. Similarly, I have produced various regression analytics to calculate intercepts, t-values, f-values, and slopes. I have also worked with pivot tables and their relationships and macros. Also, I have done package installations, printing with/without grids, copying and pasting to word and hence print.
I have used various versions of Windows from Windows 95 to Windows 8 (current). I have always been interested in hardware and software of computers. Mostly, with software applications and computer maintenance, I have an experience. I have performed various installation and upgrading of Operating Systems including Linux. Most of the time I customize my software installations for optimum performance. Similarly, I have done various troubleshooting of software applications, networking, uninstallation of unwanted components of softwares, antivirus installation and virus removal. Similarly, I have used tools like system cleanup, defragmentation and system checkup to speed up my computer. I have been known among my friends as a computer geek because I have solved their various installation, network, system and virus problems
Prealgebra as a foundation for Algebra and other areas of Mathematics needs to be taught in a way that a student never forgets the tools and techniques. Having taught both high level and basic Mathematics courses, I urge people to master basic concepts in Algebra. Even students in higher Mathematics classes seem to struggle with simple algebraic expressions, which is outcome of weak Prealgebra foundation. I believe in making that foundation stronger.
I have been working with PreCalculus students mostly at college level. However, I have tutored students in high school as well to prepare for their various PreCalculus related tests. I have used tools like webassign for effective learning. While PreCalculus involves basic foundations of Calculus but not exactly calculus, it is very important that a student creates an unforgettable base for Calculus as well as for tests. The topics include, but not limited to, sets, real numbers, complex numbers, functions, conic sections, inequalities, equations, trigonometric identities and functions, sequence and series, parametric equations, binomial theorem, polar coordinates, matrices and determinants, limits, polynomial functions, rational functions, inverses of functions and vectors.
Not a lot of people seem to care about what trigonometry actually means. First thing they have in mind is sine, cosine and tangent with theta tagged on them. Trigonometry comes from combination of Greek word "trigon" meaning triangle and "metron" meaning measure. Therefore, trigonometry is the measure of triangle regarding its sides, height, angle and areas. So where do other geometric figures come then? We still see sines, cosines and tangents, right? Well, every geometric figure at a minute level can be thought of as a triangle and thus those sines, cosines and tangents. Trigonometry deals with various identical relationships of sides and angles, henceforth.