I have over a year of formal experience tutoring elementary, middle school, high school, and undergraduate students in mathematics. I am a fourth-year undergraduate with a double major in Mathematics(BS) and Economics(BA) at Muskingum Uinversity and I am working toward a Fellow of the Society of Actuaries (FSA) certification.
All students learn differently, so sometimes I may focus on practical problems, basic concepts, introduce advanced concepts, or focus on proofs. I am not afraid to use play-doh, if necessary. Generally, I will:
1) Diagnose problem areas.
2) If the student is not up to speed, I will focus on those problem areas until they are caught up.
3) If the student is up to speed, I will focus on logically progressing through concepts to ensure understanding.
4) I will mention peripheral and advanced concepts to spark or maintain interest.
5) I will give the student the minimal tools (s)he needs so (s)he can lead me to the solutions.
Mathematics is a variety of complex concepts built on simpler concepts, which makes closing gaps in understanding paramount to overall success.
What is your teaching philosophy?
Everyone learns differently. I individualize my lessons according to how the student best learns, whether that is through examples, thorough proofs, or alternatives methods for tackling problems. I always try to introduce applications in the real world in order to maintain interest in the subject.