Online Math Tutor - About Juan Castaneda, MS




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The Multiplication Table

Factored Integers

The Circle





Slope-Intercept Equation

Complex Numbers

Stirling Numbers

Numbers as Boolean Functions

Calculator TI-89

Tower of Hanoi

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Juan Castaneda
***** Master of Science in Mathematics *****

Academic Background & Teaching Experience
Mathematics has been my favorite subject since third grade, when I fully understood fractions and why their operation rules work.

At school my grades were always among the highest in the class, since first grade all the way through my graduate program.

I graduated from the Mexican Autonomous National University (UNAM) in Mexico City, the largest university in Latin America.

My degrees are Master of Science (MS) in Mathematics and Bachelor of Science (BS) in Mathematics.

I moved to the U.S. in February, 1999. I became an American citizen in May, 2008.

Private tutoring is the kind of teaching I enjoy best, because working with one student at a time or small groups is a better dynamic for me than handling the inevitable confusion and discipline issues that arise in large groups. Also in individual sessions the student gets much better results. It is amazing the difference undivided professional attention can make for their understanding and progress.

My skill to help students during one-to-one sessions rests mainly on two pillars. The first one is all the experience I gained while teaching large groups in the classroom and grading their homework and exams. The second pillar is my natural ability to listen to them, understand their questions and place myself into their shoes, looking at a mathematical problem the exact same way they are looking at it.

Following is my tutoring and academic teaching experience, including the list of institutions I have taught at, with detail on the courses taught at each one:

Experience as a Private Math Tutor (ongoing):
Homework Help & Exam Preparation

  • Online Math Tutor (online tutoring sessions only) - From October 2015 to date
  • In person math tutoring sessions in San Diego, CA. Full-time from July 2007 to September 2015
  • In person math tutoring sessions in San Diego, CA. Part-time from November 2004 to June 2007
  • In person math tutoring sessions in Xalapa City, Mexico. Part-time from 1987 to 1990
  • In person math tutoring sessions in Mexico City, Mexico. Full-time from 1984 to 1985

Experience as a Math Professor / Teacher / Trainer in the Classroom:

San Diego City College - San Diego, CA

Adjunct Professor – Spring 2001

  • Math 95
San Diego State University - San Diego, CA

Adjunct Professor – Fall 1999

  • Math 90
Berlitz Language Institute - San Diego, CA

Instructor – 1999 to 2001

  • Spanish, levels 1 to 5
Mexican National University – Mexico City

Adjunct Professor – 1992 to 1996

  • Linear Algebra I
  • Differential and Integral Calculus IV
  • Statistics I & II
  • Introductory Graph Theory
  • Discrete Math
  • General Math for Biology students, I
  • Probability I
  • Coding Theory
Yucatan State University – Merida City

Visiting Professor – Fall 1993

  • Graph Theory
Veracruz State Teachers College – Poza Rica, Córdoba & Xalapa

Instructor – 1991 to 1992

  • Miscellaneous professional development workshops for High School math teachers
Veracruz State University- Xalapa City

Adjunct Professor – from 1990 to 1992; and 1996 to 1997

  • Calculus I & II
  • Modern Geometry
  • Analytic Geometry
  • Numerical Methods
  • Numerical Systems
  • Higher Algebra
  • Linear Algebra
  • Introductory Scientific Method
  • Probability and Statistics
  • Graph Theory
  • Topology
Mexican National University – Mexico City

Teaching Assistant – 1981 to 1985

  • Differential and Integral Calculus I, II, III & IV
  • General Math for Biology students, I & II
Mexican Military Academy – Mexico City

Math Teacher - 1984

  • Algebra
  • Analytic Geometry
  • Introductory Informatics
High School of Science and Humanities – Mexico City

Math Teacher – 1983 to 1984

  • Algebra
  • Euclidean Geometry
  • Analytic Geometry
  • Integral Calculus

Back to the present now over the Internet

These days I tutor full-time, exclusively online.
If you are struggling or have any difficulties with any math subject, or exam, do not hesitate any longer. Email me as soon as possible because I would love the opportunity to help you achieve better results in math.

Here are some of my Students' Testimonials

Here is my Tutoring Rate & Contact Information

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Last review: May 23, 2018