Differentiated math instruction through upper-level calculus (including vector calculus; differential equations) and linear algebra. I teach at an independent school for kids with learning differences (including ADHD, dyslexia, executive functioning difficulties, challenges in comprehension and processing, and working memory disorders). I also have experience in teaching and coaching gifted students as well as twice-exceptional students. Read further for more of my background and approach. ... [more]
I tutor college students in Calculus I, II, & II, as well as students in high school AB & BC Calculus. Prior to my formal coursework in mathematics at Penn, I have a background in the history and philosophy of math from my undergraduate studies in the Great Books program at St. John's College. I like to show students the theory and beauty of calculus while teaching strategies for effective problem solving from a strong conceptual foundation.
Proofs and theorems can be tough to learn when you've never dealt with them before. One of my strengths is guiding students to learn how logic is related to geometrical figures gain confidence in approaching proofs. I also like to help those who are interested appreciate the beauty of geometry and show how all math has its origins in Euclid.
Whether you're preparing for future calculus courses or just trying to fill a requirement, I will show how combining algebra, geometry, and trig, as you do in precalculus, can be accessible and interesting. Precalculus is also combining elements from math you know to study important functions and learn ways to solve new types of problems. I try to balance the big picture with maintaining a focus on the technical skills to help students lead themselves in achieving their specific goals in taking such a class.
Trigonometric functions are crucial in all levels of Calculus, and very important in physics. In tutoring trigonometry I emphasize those ideas which will give both strong foundation and comprehensive preparation for using it in higher-level math and science.
Having experienced and overcome many personal challenges in test-taking and exams, I can relate to students who struggle with the formalities of standardized testing. If you're struggling with the math itself, I will show how to connect a basic understanding of the material to developing strong instincts for solving SAT problems carefully and efficiently.
Studying linear algebra is much like learning a new language, or a new logical system where you have to think about proofs and axioms more so than in previous semesters of calculus. From my background in philosophy I offer helpful ways to think about vector spaces and axiomatic systems, which is typically what students struggle with in linear algebra. Having scored near the top of my linear algebra class at Penn I will also help build confidence in solving linear equations, though most students find the computational aspect of the mathematics less difficult than the theory.