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Math Teacher- PhD - Calculus, Statistics, Geomertry, Algebra.
Mohamed E.

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About Mohamed


Bio

I completed doctoral graduate discipline in Nuclear Engineering from Alexandria University, Egypt. PhD. (1983).
I am currently enrolled in Computer Science, bachelor degree at South New Hampshire, University, USA.
I completed two years postdoctoral research with the National Science Council's Research Associateship, at Frank J. Seiler Research laboratory, Colorado Springs, Colorado (1986-1988).

Throughout my undergraduate, graduate, and postgraduate education, I tutored in-person lessons...

I completed doctoral graduate discipline in Nuclear Engineering from Alexandria University, Egypt. PhD. (1983).
I am currently enrolled in Computer Science, bachelor degree at South New Hampshire, University, USA.
I completed two years postdoctoral research with the National Science Council's Research Associateship, at Frank J. Seiler Research laboratory, Colorado Springs, Colorado (1986-1988).

Throughout my undergraduate, graduate, and postgraduate education, I tutored in-person lessons and in public schools. In Bergen County Academies, I taught pre-college calculus and statistics to magnet students in . My style emphasizes probing the student’s level of engagement and prior knowledge of the subject matter, then tailoring the pace of progressive teaching on the basis of classroom and homework activities. Those two key parameters, homework and classroom interaction, guide me in modifying my subsequent lesson planning to the diverse population of students, with visual, concrete, and literal variation in perception.

I taught young students in elementary level K-5 to 6, middle school students K-6 to 8, and senior high school level k-9 to 12. In each learning age, students progress from concrete perception of new knowledge, during the teaching of Algebra and Geometry, to the mature young adults, throughout calculus and statistics. In each learning age, helping aids, such as graphics, videos, and physical settings have always bridge the gap between the mindset of a new learner and the complexity of mathematical symbolism. Of paramount importance is the tracking of the homework in weekly basis in order to avoid a learning gap that could be averted by monitoring the student's performance as lessons progress.


Education

South New Hamphire University, New Hampshire, USA.
Computer Science
Alexandria University, Alexandria. Egypt.
PhD
Alexandria University, Alexandria. Egypt.
Masters

Additional Languages

Egyptian Arabic

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Approved Subjects

Algebra 1

Algebra 1

Algebra 1 is warming up prelude to the advanced branches of mathematics and forms the foundation for expressing conceptual idea into literal notation. Students will develop confidence in using mathematical symbols to express the thoughts and intentions in a concrete, simple, and universal algebraic formulation. From here, students will part away from laymen by their newly acquired literal depiction of the real world around them.
Algebra 2

Algebra 2

In Algebra 2, students will master the fundamental operations on expressions: distribution, commutation, association and identity property. This is a further advent beyond basic operations of addition, subtraction, multiplication, and division. Here, students are introduced to more complex expressions of polynomials, exponentials, logarithms, and trigonometry,
Calculus

Calculus

Having ingrained basic geometrical and algebraic training, students will use those two invaluable tools of graphical and numerical scopes to tackle the intriguing subject of Calculus. Here, students have already matured to the task of describing the big world in terms of rates of change and cumulative effects of functions. In Calculus, everything around us bears the focused and general attributes that are described and analyzed by differential and integral Calculus.
Geometry

Geometry

I studied and taught geometry as part of engineering education. Geometry is a prerequisite to the study of Calculus , Differential Equations, and Computer Graphics. In essence, geometry is the visual interpretation of mathematical logic and application. Geometry falls into into 4 categories: planar (2D), 3D, analytic, and differential geometries.
Precalculus

Precalculus

The study of Precalculus constitutes a steep indulgence into the properties of functions. Students will learn how analytical functions are described by their domain, range, limits, continuity, and differentialability. Those properties constitute the essential tools for engineers, scientists, and researchers in the understanding how to analyze and understand relationships between changing variables. In Precalculus, students would start by polynomial function, progress to rational, exponential, logarithmic, and trigonometric functions. The ultimate goal is to learn how to decipher the nature of changing conditions that are governed by particular rules of physics.
SAT Math

SAT Math

Preparing for the SAT exam requires comprehensive review of the basic mathematical disciples: Algebra, Geometry, Trigonometry, and Calculus. My approach in facilitating such overall comprehension of mathematical procedure goes beyond equation, graphs, and calculation. At this pivotal stage of student's transition from high school to college, my emphasis gears towards real-life applications of mathematical logic. Such practical application of mathematics to real-life problems requires clarity of mind and confidence in applying past knowledge on newly encountered challenges. The student has to master the skill of scanning their previously acquired learning, searching for proper fit for the new challenge.
Trigonometry

Trigonometry

Trigonometry bridges the gap between Cartesian coordinates and Polar coordinates, thus allowing scientists to implement the most efficient coordinate systems that fits the geometry of a practical problem. Trigonometry exploits the concepts of ratios to tie orthogonal coordinates by angles and arcs, instead of perpendicular vectors. Thus, a basic understanding of one trigonometric function, like tan(x), suffices to solve the remaining five siblings, i.e., sin(x), cos(x), cot(x), sec(x), or csc(x). Together, with the Pythagorean theorem, those six function make the pillars of the imminent branch of trigonometry.
ACT Math
Physics
Prealgebra

Examples of Expertise


Mohamed has provided examples of their subject expertise by answering 2 questions submitted by students on Wyzant’s Ask an Expert.

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