Howdy! I am Alejandro L., an Edinburg native and a recent graduate of Rice University with a bachelor's degree in Mathematics. I spent hundreds of hours at Rice teaching mathematics to my peers, and to younger audiences through my work as a math circle leader, teaching assistant for linear algebra, calculus, geometry, and as a coordinator for Calculus exam review sessions.
My approach to teaching mathematics involves lots and lots of pictures. I think the key to having a good...
Howdy! I am Alejandro L., an Edinburg native and a recent graduate of Rice University with a bachelor's degree in Mathematics. I spent hundreds of hours at Rice teaching mathematics to my peers, and to younger audiences through my work as a math circle leader, teaching assistant for linear algebra, calculus, geometry, and as a coordinator for Calculus exam review sessions.
My approach to teaching mathematics involves lots and lots of pictures. I think the key to having a good understanding of what you want to do when tackling a math problem is to have an excellent mental (or physical!) picture of what the problem is actually about. In Calculus, this involves making the notion of a limit concrete by analyzing how what it means when looking at the graph of the function you are taking a limit of. In Linear Algebra, this involves drawing commutative diagrams to understand how change of basis transformations interact with linear maps between vector spaces. In High School Algebra, this could involve understanding a modeling problem by writing out a table of data and creating a rough sketch to describe the algebraic relationship between the data. Discovering how to find these pictures for yourself, and how to connect them to the operations you apply to some set of equations is what I hope to give to you!