Teaching Math Classically

Welcome!

In this course, veteran math educators and classical school academic leaders Andrew Elizalde and Bill Carey describe the way mathematics should be recovered and renewed as a liberal art and therefore as a humanities subject. Andrew not only traces the history of mathematics education, but also notes how it slowly deteriorated in America. Most importantly, Andrew shows how mathematics can be taught effectively using traditional, classical pedagogies that should engross and delight most students. Andrew advocates teaching math as something beyond a mere utilitarian skill, but rather as a way of understanding the world.

Questions addressed in this course include:

Why should mathematics be regarded as a humanities art?
What were the distinctive principles and practices of a classical mathematics curriculum?
What went wrong in American mathematics education?
What are the practical ways that one teaches math classically?
What are the advantages and challenges of using the Singapore method of teaching math?

This course follows the organizational theme that begins with the history of math, its modern deterioration, and its recent renewal as a classical liberal art.

The History of Math and Math Pedagogy
The Deterioration of Math Instruction in the US
Attempts at Reforming Math Instruction
Classical Mathematics: Art and Pedagogy
Questions and Answers with Andrew Elizalde
The Recent Renewal of a Classical Approach to Teaching Math

There are modest reading assignments associated with each video lecture. These will be listed in each session, along with additional resources, recommended readings, and questions for discussion and reflection.

Andrew Elizalde earned his BA at Depauw University in Indiana, where he graduated Phi Beta Kappa and magna cum laude, earned a math major, physics minor, and religious studies minor, and received the H.E.H. Greenleaf Award as the most outstanding 2001 graduate of the school’s mathematics program. He later obtained a teaching credential from California State University Long Beach with a professional-clear qualification for his coursework regarding exceptional children and technology integration. His teaching experience includes work in both public and private schools in subjects ranging from 5th grade mathematics to advanced calculus and physics. His past work in classical education has most notably included reforming mathematics programs and building professional learning communities through meaningful professional development. Andrew is glad to now be serving Covenant Classical School in Fort Worth, Texas, as the dean of academics. Additionally, Andrew also offers consulting services to classical Christian schools and has been a keynote speaker at both the ICS Math and Science Lyceum and SCL annual conferences. Andrew and his wife, Brooke, have three daughters and attend Fort Worth Presbyterian Church.

B Carey 2 Bill Carey has been involved in the life of Ad Fontes Academy in Centreville, Virginia, since he was in high school. He assisted his father at the weekly Latin Club and took Ad Fontes students to many certamina and conventions. At the University of Virginia he studied the classics, focusing on Latin. Fresh from college, he joined the Ad Fontes faculty, where he taught Latin, calculus, formal logic, physics, and (for a few months) senior thesis. After five years of teaching, Bill took a sabbatical writing computer programs for a defense contractor to better understand how adults think about and use mathematics. Always drawn to the classroom, he went on to teach a year of physics and classics courses at George Mason and now runs the Techne Society. After seven years he gladly rejoined the full-time faculty at Ad Fontes to teach math and science. Bill is married to Maren Carey, also a teacher, and they both worship at Lord of Life Lutheran Church in Fairfax and Clifton.

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Please Note: The certification credit component of this course is now active but also undergoing refinement and testing.

To obtain a certification credit for this course, simply complete the quiz that follows each presentation in the course, and then also take the certification test at the end of the course. The quizzes are designed to ensure that you have understood the essential content of each presentation, and they can be taken more than once if necessary. The cumulative certification test at the end of the course is given as a pass/fail test and requires that you upload one or more essays demonstrating your understanding this course (with essays evaluated by word count only). When you have completed the course, a certificate that you can print or email will magically appear under the “My Courses” section of this website.

We recommend previewing the essay question at the end of the End-of-Course Test. This will help in guiding your note taking as you progress through the course.

Please allow approximately 2 weeks for essay submissions to be reviewed.

By taking the course for certification credit, you also will be on your way to obtaining a Level 1 certification.