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Yes, I can make math easy, simple, fun, and allow students to learn by themselves giving them confidence to solve any math question. I have been tutoring, mentoring, and teaching Algebra, Pre-Calculus, Calculus, Statistics, and Physics for 12 years. Currently, I am teaching College Algebra, Trigonometry, and Application Mathematics at the USAF Academy Prep School, and I am also tutoring multiple Algebra I & II and AP calculus for high school students, calculus and Statistics for UCCS students.
As a tutor or Instructor, I guide the students through solving math problems using a problem-solving based teaching style to help students learn and understand math concepts, therefore, all my students can learn to handle any challenge question on their own in the near future. I use effective practices, strategies and resources to inspire and enrich each of my student's learning. I usually use different learning styles such as workbooks, visual aid computers, hands-on activities like lab, student-centered discussions as learning centered, one-on-one tutoring and small-group tutoring.
Note: Let me work with a student who is trying to achieve college credits in AP Calculus, Statistics, and Physics. Let me work with a student who thinks that Calculus is Greek language or something difficult. Let me work with student who has hated math, to challenge them and change their attitude towards math. My tutoring styles are all about learning focus and have fun with math as playing game. After I meet new student, our game is all about solving puzzles, solving math questions is like playing a game, if we find a right solution; we win, if not keep playing, challenging ourselves until we solve it.
My teaching philosophy: Setting a good example; helping and encouraging students to ask any question to help them grow; creating an environment to engage, motivate, and make them more competitive; implementing a learning focus state where and how the mathematics apply in the decision making, engineering, and any real life situation by guiding them to construct their own way of creating and solving any problem without breaking any math rule.
ACT math covers a lot of concepts. At my first tutoring session, I use authentic test materials to diagnose a student's current level, customize my curriculum based on the student's strengths and weaknesses and then take more time to practice the weakest area.
Algebra is frequently called the gatekeeper subject. I always have a privilege to tutor/teach some critical courses like Algebra I. It is the foundation of math such as real number system, addition and subtraction, multiplication and division using fractional notation and decimal notation, ratio and proportion, percent notation, dimensional analysis, number systems other than base 10, order of operations, exponents, set operations, venn diagrams, logic; truth tables, conditionals and Bi-conditionals and most important linear function.
Algebra II and college algebra have similar curricula. I have been tutoring and teaching Algebra II/college Algebra for the last 11 years, and also taught some home-study high school students utilizing research-based techniques for more personalized approaches to understanding Algebra I & II.
Some Algebra II curricula overlap with Algebra I such as equation/inequalities, linear, quadratic, polynomial, rational, exponential, and logarithmic, inverse function, rational expression, complex number, and matrices.
Single Variable (Calculus I and II): Limits, limit theorems, L'Hopital's Rule, Continuity; intermediate value theorem, Derivatives, chain rule, implicit differentiation, Applications of Derivatives; Analysis of Graphs, mean value theorem, max/min, Related rates, Integrals, Integration techniques; polynomials, exponential and logs, trigonometric, substitution, trig substitution, parts, partial fractions, Applications of Integrals, length of curves, work, volume, surface area - Parametric equations, Polar coordinates, Sequences and Series, Convergence test, Power series, and Taylor series.
Multivariable Calculus (Calculus III): Vectors, dot product, cross product, lines, planes, Vector-Valued Functions, limits, derivatives, curves, tangents, curvature, Partial Derivatives, chain rule, directional derivatives, gradient, Lagrange multipliers, Multiple Integrals, surface area, polar & cylindrical coordinates, moments and center of gravity, Vector Calculus, vector fields, line integrals, Green's theorem, surface integrals, Stokes Theorem, and Divergence Theorem.
I have taken two Differential Equations courses and one Applied Mathematics using Differential Equation to earn my Applied Mathematics Degree. Since then, I have been tutoring some students. It is very critical to learn the concepts of Differential Equation and know how to use it and when to use it. Many laws leading natural phenomena are equations involving rates at which derivatives. Basically, Equations containing derivatives are differential equations.
I have a lot of experiences preparing students for the GED test. I will always start from the basic math as an assessment and then focus on each individual weakest (blind spot). My approach is tailored to each individual math level. I had some students who open the GED book with me in the first time, and I had some other students almost ready to take the exam. Regardless of your current math level, you will be well prepared to take the exam with some tutoring sessions.
GED is separated into four major categories: data, statistics, and probability; algebra, functions, and patterns; number sense and operations; and measurement and geometry. I usually cover each category and have some practices to master each area and then take mix practice at the end.
I took multiple Linear Algebra courses to earn my Applied Mathematics degree. Linear Algebra was one of my specialties while studying. Since then, I have been tutoring undergraduate and graduate level Linear algebra courses. Linear algebra is very rich subject and central to both pure and applied mathematics, concerning vector spaces, often finite or infinite dimensional, as well as Linear Mappings between such spaces.
I passed the Mathematics Content Knowledge Praxis II exam with target score for ETS Recognition of Excellence. Since then, I prepared five students; all of them passed with good grade. Currently, I am tutoring and teaching all of the Praxis related concepts daily. The main contents of Praxis II are Algebra, Geometry, Trigonometry, Statistics/probability, Matrices, Discrete, and Calculus. It is my favorite subject and enjoy meeting, preparing, and speaking math languages with the future Mathematics teachers, and most important bring more math teachers to the school system.
Algebra, College Algebra, or Pre-calculus: Linear equations, Absolute value, Inequalities, Nonlinear Functions, Function notation, Polynomials, Translations, Shifting, reflecting graphs, Composition, Inverse functions - Roots of polynomials, Quadratic equation, Factoring, Complete square, Quadratic formula, Complex Numbers, Higher Degree, Factoring special cases, Exponentials and Logarithmic function and Graphs, 2 equations 2 unknowns, Matrix algebra, Gaussian elimination, Inverses, Mathematics of finance, Simple/compound interest, Linear programming, and Geometric approach.
Statistics or probability: Descriptive Statistics, Data Analysis, Graphic Representations, Measures of Central Tendency, Dispersion, Position, Regression and Correlation, Probability, Random Variables, Probability Distributions for Discrete and Continuous Random Variables, Inferential Statistics, Sampling and Sampling Distributions, Central Limit Theorem, Confidence Intervals, Hypothesis Testing, Inference Concerning Correlation and Regression, Analysis of Variance, Categorical Data Analysis, Chi-square, Contingency Tables, Homogeneity tests, Decision Theory, Process, and Quality Control (Control Charts)
I have been teaching Trigonometry as Pre-calculus requirement in Prep School for the last two years. Trigonometry is my favorite subject of all, because it is a branch of mathematics that studies only triangles and the relationships between the lengths of their sides and the angles between those sides.
Excellent Tutor — My experience with this tutor has been more than I had a right to expect. He tutored my son during the summer and the results have been amazing. My son is scheduled for AP Calculus at the start of the school year and his grasp of pre-calculus was not at a level that I felt comfortable. After many sessions with Ayanaw H., my son is able to not only grasp the material he also understands the con ...
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