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CLAA | Classical Mathematics

The CLAA's Classical Arithmetic is a no-nonsense course that restores and maintains a healthy balance between philosophical and practical objectives.  The course is oriented toward a systematic program of theoretical training with practical applications in appropriate places.  For example, after learning of Unity in Lesson 02, students then study the units of measurement commonly used today in Lesson 02a. This arrangement continues throughout the duration of the course.

 
Lesson 01.  Introduction
Lesson 02.  Of Unity (and Units)
Lesson 14.  Multiplication

"I've learned more in 9 lessons
than in 10 years with Saxon!"

                           
 
CLAA Student


 

WHAT'S DIFFERENT?


Modern Arithmetic courses are designed for workplace training.  Students learn how to perform mathematical operations that they may need to use in "real life".  We believe that a secular view of man's purpose as a wage-earner is inconsistent with "real life" as defined by God. 

Real life for a human being is nothing more or less than fulfilling God's will in one's life.  God's will is no mystery, either.  Every child should pray for the grace and privilege to live a consecrated life, wholly devoted to the service of God, while preparing for the closest they can get to it.  If they do not enter into religious life, they are not excused from living a religious life.  At no time should we ever abandon ourselves to secular studies and prepare ourselves for "the workplace".  Even if we do enter secular employment, it is that our skills and resources may serve His mission of salvation and justice throughout the world.  Thus, no matter what course we pursue, we must have the philosophical and intellectual training to fulfill our duty to God in that course of life.  Mathematics is neither "neutral" nor merely practical.  The CLAA restores the proper focus of all studies, including Math.

We provide students with the axioms (self-evident truths) on which Arithmetic is based and the principles and definitions that flow from them.  This systematic mastery allows students to use Mathematics as an instrument in the pursuit of truth--which extends all the way to the knowledge of God and the truths of eternity.  This is, after all, the traditional end of Mathematics.  We do not neglect practical lessons common to all Math programs, but we subordinate them to the concerns of the soul.

 

NATIONAL STANDARDS


We ought not to fear national standards, simply because they are very low.  When such standards are written, they are written as minimum requirements and ought never, never, to be used as curriculum guidelines. 

For detailed standards by grade level use the following links:

Grades K-2  |  Grades 3-5  |  Grades 6-8  |  Grades 9-12

In curriculum planning, it is important to remember the fable of the tortoise and the hare.  Remember that the tortoise looked impressive early on, but eventually lost to the tortoise. In general, the CLAA Arithmetic program begins slower than most modern curricula, but the latter seem to always be in a rush to get nowhere fast.  We allow more time in the beginning for mastery of essentials and keep students focused on core concepts rather than introducing many different topics.  However, once our foundation is well laid, we eventually move past the modern curriculum and reach heights they are simply unable to because of their haste in the early years. 

 

QUESTIONS? 


It is very unlikely that anyone who has received a modern education has any familiarity with classical mathematics.  We know you have questions and we guarantee answers that you will find satisfying.  Send your questions to us at: quadrivium@classicalliberalarts.com.

   

 

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