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Math for the Classically Educated Student.

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GEOMETRY IS A YEAR-LONG COURSE FOR STUDENTS IN GRADES 8-12.

As one of the most powerful branches of mathematics, Geometry is focused around the mathematics behind the physical space of God’s creation. Make no mistake, however: this course is far more than the study of shapes with deep roots in algebra and trigonometry—not to mention Logic. This why we recommend students choose to take this course between Algebra I and II. In expanding on the skills learned in Algebra I, we continue to use curriculum by Harold Jacobs. Topics include segments, angles, deductive reasoning, parallel and perpendicular lines, coordinate geometry, congruent and similar triangles, quadrilaterals, right triangle trigonometry, circles, and area and volume. One of the cornerstones of this course is the proper presentation of the mathematical proof — a key component of Euclidean geometry. This heavy presence of inductive logic helps to build reasoning abilities in dialectic students, and should be especially valuable for students who are interested in taking logic courses. In addition, students will examine polyhedra and touch briefly on non-Euclidean geometry at the end of the course — a fascinating way to finish the year! Learning can happen through both the 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

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