St. John's College (Liberal Arts)
Experienced math tutor and qualified through upper level calculus (including vector calculus; differential equations) and linear algebra.
I have an extensive background not only in math itself but also in the philosophy and history of mathematics, which offer insights to help make math even more fun and interesting. I am especially experienced in proofs and proof-based learning, particularly enthusiastic about geometry and the geometrical aspects of calculus, and work with students to develop strong conceptual understanding in addition to confidence in solving problems.
I received my BA in Liberal Arts from St. John's College, where you learn by reading and discussing classic works in all disciplines. While there I worked as a lab assistant for a senior-level Laboratory Science class which included classroom leadership and private assistance on math and physics material. My background from this classroom environment emphasizes collaborative learning and helping others to appreciate math and science. More recently, I've worked as a researcher in a Neuroscience Lab at the University of Pennsylvania and have done further private tutoring in various subjects of mathematics.
I am from the area--I attended Friends' Central School--so I have a personal connection to our community. I look forward to meeting thoughtful students who are ready to learn! Experienced math tutor and qualified through upper level calculus (including vector calculus; differential equations) and linear algebra.
I have an extensive background not only in math itself but also in the philosophy and history of mathematics, which offer insights to help make math even more fun and interesting. I am especially
Daniel tutored my son in Geometry. My son enjoyed his pleasant demeanor and felt confident with the information Daniel reviewed with him. Daniel was thorough and clearly explained the theorems that were "stumping" my son. Thanks Daniel :)
My son really enjoyed working with Daniel. He was very knowledgeable and connected well to him. Daniel was able to help him with the practice that he needed to get ready for his upcoming AP exam and final.
My son said he's really great at explaining the math problems. He seemed much more pleased with his session,which makes me happy. I'm happy to have Daniel tutor my son.
Daniel helped my son to better understand key points in preparation for his test. We have a long way to go ,but Daniel's calm manner and knowledge are helping my son to calm down and approach problems from his mental framework. Thanks
Excellent help with precalculus- thank you! Much better equipped for school work. Covered topics in an engaging way and boosted my confidence. Very patient and suportinve
Daniel tutored my daughter in AP Calculus AB. After missing a few Calc classes at school due to sickness and team sports commitments, she had become lost and was having difficulty catching up. After meeting with Dan 4 times over the course of a week, she received a 97% on a final end of quarter exam and raised her overall grade up to an A-. Before meeting with Dan, her three previous test and quiz scores had been in the 70% range. Dan's assistance was instrumental in her success and he went out of his way to make himself available and was patient, knowledgeable and helpful.
Daniel was a great match to help my son clarify his understanding of geometry. My son's comment " in that hour I learned way more than in the past 2 weeks in class... And it even made sense!" Thanks Daniel!
I took my formal math courses at Penn, and I am qualified through a typical 4th semester college calculus course. Previously I studied the history and philosophy of calculus in my undergraduate work, where I read original works of Newton and Leibniz. I like to show students the theory and beauty of calculus while teaching strategies for effective problem solving.
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.
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.
Taking the "Great Books" program at St. John's, I've studied all the classics from the Plato and Aristotle, to Kant, Neitzche, and Heidegger. I can help you gain strategies to read complicated arguments as well as finding an approach to writing about them. Reading tough books is always better when you have someone to discuss them with; you are both challenged and encouraged, and you begin to realize that reading philosophy is like having a conversation with the author. Philosophy is my greatest passion and there's nowhere I'm more confident in sharing my enthusiasm with peers and students.
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.
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.
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.