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Maths Tutoring (focusing on creativity and problem solving)

My goal is to help student build their own mental framework for navigating mathematics. The key is learning to synthesize new information while also gaining skills necessary for advancing in mathematics. I strive to help students build a mathematical intuition by using teaching techniques such as geometric proofs and story proofs. My hope is that students will not simply learn to complete assignments and find the right answer, but rather that they would develop a "healthy relationship" with maths based on understanding, exploration, creativity, and imagination.

Ideal for UK students in secondary school and sixth form or American students in high school and late middle school. I am also happy to tutor through SAT and ACT mathematics!

Extra information

Send me a quick summary of the concepts or problems you're struggling with before the lesson so we can maximise your learning time when we're on the video call!

Location

Online via webcam
At student's location: Around St Andrews, United Kingdom

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General info

suitcase iconSkills:
Age:
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level:
Beginner
Intermediate
Duration:
30 minutes
45 minutes
60 minutes
90 minutes
The class is taught in:English

About Me

About me:
Hi there! I'm Daniel, a graduate of St. Andrews university with a degree in Mathematics and Philosophy. I now study pure mathematics with a focus on logic. I discovered my love of mathematics and logic later only after I began university, so I believe it's never too late to 'become a math person.' All it takes is the right teacher/tutor who makes the ideas 'click' for you! I would love to help you understand math and logic better! I can tutor anything from middle school math to calculus. I especially love tutoring logic: Aristotelian, first-order classical, modal... you name it!

My Approach:
My goal is to help students build their own mental map for navigating mathematics. I strive to teach students to understand how the various aspects of what they are learning fit together. The primary way I do this is through visual/geometric proofs and aids that illustrate and motivate the equations and formulae. However, since not every student will connect with my preferred explanation, I like to slow down and find what works for each student. I will often give a student specific examples to work through that help me discover his pattern of reasoning. That way, we can see clearly how to improve a student's problem-solving skills. I want my students to develop a relationship with mathematics based on exploration, creativity, and competence.

My qualifications:
I hold a first class degree from University of St. Andrews, one of the top ranked universities in the UK for mathematics and for philosophy. In my studies, I especially focused on algebra (group theory, ring theory), logic (classical, non-classical, model theory), and set theory (specially ordinal numbers).

My Experience:
I have been tutoring on-and-off throughout my studies for the last 4 years. I have previously tutored both high school and university students in small in-person sessions as well as one-to-one online. Past examples of tutoring include: SAT math, AP calculus, and university-level logic.

Student Testimonials:
"I highly recommend Daniel as a tutor, due to both his expertise and disposition. Not only does he understand the material well, but his patience in explaining the subject matter helped me enormously. He can explain things well for every kind of learner, which I found especially helpful as a visual learner myself. If in need of help, I would definitely recommend Daniel!!" -- Havana (undergraduate at University of St. Andrews)

Education

B.A. in Economics and Business Analytics, Patrick Henry College, summa cum laude.
Joint Honours in Mathematics and Philosphy, University of St. Andrews, first-class

Experience / Qualifications

I have experience tutoring mathematics (up through calculus and linear algebra) and logic .
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Availability of a typical week

(GMT -04:00) New York
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12  Monday at 12:00    Wednesday at 12:00    Friday at 12:00  Saturday at 12:00  Sunday at 12:00
13  Monday at 13:00    Wednesday at 13:00  Thursday at 13:00  Friday at 13:00  Saturday at 13:00  Sunday at 13:00
14  Monday at 14:00  Tuesday at 14:00    Thursday at 14:00  Friday at 14:00  Saturday at 14:00  Sunday at 14:00
15  Monday at 15:00  Tuesday at 15:00  Wednesday at 15:00  Thursday at 15:00  Friday at 15:00  Saturday at 15:00  Sunday at 15:00
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from £41.39Online via webcam
from £41.39At student's home

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

Online reputation

  • Instructor since May 2020
  • Phone number verified
  • Linkedin connected

Availability of a typical week

(GMT -04:00) New York
MonTueWedThuFriSatSun
0              
1              
2              
3  Monday at 3:00    Wednesday at 3:00  Thursday at 3:00    Saturday at 3:00  
4  Monday at 4:00  Tuesday at 4:00      Friday at 4:00  Saturday at 4:00  
5      Wednesday at 5:00      Saturday at 5:00  
6    Tuesday at 6:00    Thursday at 6:00    Saturday at 6:00  
7  Monday at 7:00  Tuesday at 7:00  Wednesday at 7:00    Friday at 7:00  Saturday at 7:00  
8            Saturday at 8:00  Sunday at 8:00
9  Monday at 9:00  Tuesday at 9:00    Thursday at 9:00    Saturday at 9:00  Sunday at 9:00
10    Tuesday at 10:00        Saturday at 10:00  Sunday at 10:00
11      Wednesday at 11:00      Saturday at 11:00  Sunday at 11:00
12  Monday at 12:00    Wednesday at 12:00    Friday at 12:00  Saturday at 12:00  Sunday at 12:00
13  Monday at 13:00    Wednesday at 13:00  Thursday at 13:00  Friday at 13:00  Saturday at 13:00  Sunday at 13:00
14  Monday at 14:00  Tuesday at 14:00    Thursday at 14:00  Friday at 14:00  Saturday at 14:00  Sunday at 14:00
15  Monday at 15:00  Tuesday at 15:00  Wednesday at 15:00  Thursday at 15:00  Friday at 15:00  Saturday at 15:00  Sunday at 15:00
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from £41.39Online via webcam
from £41.39At student's home

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

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