The way I teach is largely based on practice and derivation. I think it is infintely easier to understand a mathematical/physical technique when you know where it comes from. My classes revolve around starting with first principle and step by step showing the student how we arrive at the formulas. Then after they understand how the formula appeared and what each variable represents I show them problems with step by step solutions. I sometimes also write up original written explanations. When teaching physics I will often also do practical examples like throwing my keys (projectile motion), doing a pushup (Newton's third law), or slamming myself against a brick wall (collision).
I have been tutoring since high school with the National Honor Society and after getting my degree my knowledge of math has gotten wider. Over the last ten years tutoring in my life has been nearly constant and by now the number of students I have had with good results has reached the hundreds. I love hearing students' "Aha!" whenever they grasp a subject which is quite common when it comes to math (it is especially awesome when teaching logarithms).
Bachelor of Science in Physics (graduated 2012)
-Knowledge of a broad range of subjects including mechanics, electromagnetism, thermodynamics and statistical mechanics, and some quantum mechanics.
PhD candidate in Physical Chemistry (2014-2016)
-Learned higher level quantum mechanics and statistical mechanics.
-Research on DNA in viscoelastic fluids.
-Paused due to laboratory accident.
Tutor with the National Honor Society (2005-2008)
-Peer tutoring in high school
-Mostly algebra and precalculus
Summer UROP with Figueroa Group (May 2010-July 2010)
-Summer job where data for X-ray filters was analyzed
-Discovered defective filters and developed an optimization least squares program.
-Learned to use MATLAB for data analysis
Tutor at Do the Math LLC
-Help students with all high school math, physics and chemistry.
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