Calculus I Saxon - Learning Options
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CALCULUS I SAXON IS A YEAR-LONG COURSE FOR STUDENTS WHO HAVE COMPLETED PRE-CALCULUS.
Understanding the abstractions of calculus require significant exposure. In this course future mathematicians, scientists, and engineers—and those who simply love mathematics—will incrementally build and reinforce their knowledge through intentional, continuous practice and review. Following a condensed summary of key algebra, trigonometry, and analytic geometry topics, students will explore limits, functions, and the differentiation and integration of variables. Those who take this course will never see bridges and buildings in the same way again, and they will thank Sir Isaac Newton with every new discovery. It is offered in You Teach and Live Online formats.
The Veritas Approach to Math
Unlike some classical educators, we believe math is a crucial subject. It’s necessary for a well-rounded, rigorous classical education. In the grammar years, math provides content for developing memorization tools. In the dialectic years, subjects like Algebra I and Geometry develop students’ reasoning skills. In the rhetoric years, Pre-calculus, Calculus, Statistics, and Business Math lead students to value math in real-world applications.
At Veritas, we’re convinced that math has been dumbed down in America.١ Most students are more capable than we think. Our mission is to help make sure your children don’t become a dismal math statistic. For more than 25 years, we’ve been proving that our math standards shouldn’t come from what we were raised with. After all, if the education we ourselves received was as education should be, why would we be doing something different for our children? A study of historical٢ and international math standards helps us see this clearly.
Maybe the best way to understand our approach is to mark some milestones.
Grade | Milestone | Purpose Served |
K | Addition and subtraction facts | Math building blocks, develop memorization skills |
1st | Multiplication facts | Additional building blocks |
2nd | Division facts | Additional building blocks |
7th | Algebra I | Problem-solving, reasoning, logic |
11th or 12th | Calculus I | Mapping change, thinking numerically, living today٣ |
Veritas recommends Saxon Math for K–6th, Jacobs for Algebra I and Geometry, Foerster for Algebra II and Pre-Calculus, and Larson for Calculus.
Saxon, with its incremental advances and continual review, works best with the grammar stage. Thankfully, Harold Jacobs understands the dialectic student and has written a superb curriculum for them with Algebra I and Geometry. One of his former students, Paul Foerster, writes where Jacobs left off, providing us our favorite texts for Algebra II and Pre-Calculus. Finally, Larson, a most prolific producer of Calculus texts, provides the capstone to our math curriculum.
Some prefer to stick with Saxon into the secondary school years. We are fine with that—even offering live class options using Saxon—but prefer texts written with more of a classical pedagogical approach.
Today, all math education needs to address the use of technology. At Veritas, it’s simple: use technology as a tool, not a crutch. Learning to work a two-variable algebraic equation is important. When mastered, however, why waste time plugging and chugging the numbers to develop a graphing solution? Let a machine do the number crunching. Students simply need to know how to do it.
Math is crucial to classical education. Don’t let anyone tell you otherwise.
١Americans are lagging in math: http://www.pewresearch.org/fact-tank/2017/02/15/u-s-students-internationally-math-science/
٢A Brief History of American K-12 Mathematics Education: https://www.csun.edu/~vcmth00m/AHistory.html
٣Is Calculus necessary? http://www.math.harvard.edu/~knill/pedagogy/use/index.html
