Hi! I’m Tim. I graduated from the Department of Physics at National Taiwan University, and I’ve been teaching international students for over 10 years.
Over the past decade, I’ve worked with students from all over the world to help them prepare for AP, IB, A-Level, SAT, ACT, and various high school math and physics courses. My goal is to make complex ideas easier to understand, and to help students feel more confident, whether they're catching up or aiming for top scores.
I specialize in 1-on-1 teaching because I believe every student learns at a different pace and with distinct needs. Lessons with me are always tailored to your pace and your goals. If you're serious about improving and want structured, clear guidance, I’d love to work with you.
In this article, we carefully work through the algebraic steps to establish these rules, and we add commentary to help interpret why each step makes sense. Understanding the derivations provides not only confidence in applying the formulas but also intuition about why they take the form they do.
TOEFL(Test of English as a Foreign Language)是全球最受信任的學術英語能力測驗之一,由美國 ETS 主辦,全球有超過 150 個國家、11,000 多所大學與機構認可。相比之下,IELTS 偏向英式英語且口音多元,SAT 則是學科測驗,僅英文部分與語言能力相關。若你需要證明自己的英文能力,那麼 TOEFL 就是最具代表性的選擇。
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