WHAT MAKES CHRIST-CENTERED MATH
"STAND OUT" FROM OTHER PROGRAMS?
What makes Christ-Centered Math so unique? In contrast to tacking
on a Bible verse here and there to basically secular materials,
as is typical, our program is derived from mathematical truths rooted
in Scripture. What do we mean by that? For a moment, let's look
at examples related to concepts taught in Christ-Centered Math's
Levels A and B.
NOTE: All four mathematical operations
(addition, subtraction, multiplication, division) will be discussed.
Christ-Centered Math covers addition and subtraction from both
a biblical and academic perspective; Professor B's Mathematics
Power Learning for Children (Levels I-III) covers all four operations
through computational skills. (See "1st-6th Grade Curriculum,"
items 423-433).
Did you know that all four mathematical operations are recorded
in the Genesis 1-2 creation account? For example, God made a day
and he divided it into evening and morning. He made one day; then
He added something to it. He commanded animals to multiply upon
the earth, adding numbers of "like things" to His creation.
He subtracted a rib from Adam; then He added another human, Eve.
Mathematically, addition is the basis of all other operations.
So we start there. The first thing God did was to add something
to the nothing that existed-the heavens and the earth (Gen. 1:1).
His first act was one of addition. Addition is generally used in
connection with added blessings, usually a result of obedience.
However, sometimes the term add has an undesirable connotation such
as when God adds a curse as a result of disobedience. Addition and
subtraction are operational inverses. Inverse means "reverse
order." In other words, it is a doing/undoing relationship.
Addition is related to multiplication in that multiplication is
simply a quick way to do addition. For example, when we say "3x5,"
all we're saying is "3 added together 5 times" or "5
added together 3 times." Multiplication is based upon addition.
Therefore, scripturally speaking, it too is viewed in terms of blessings.
An example of this is God's command to "be fruitful and multiply"
to fill the earth. God multiplied His creation in the initial six-day
period. Now we are commanded to imitate what He has done, in obedience
to His law of replenishing His kingdom and exercising dominion over
it.
Division is related to multiplication in the same way subtraction
is to addition. In division, you unmultiply. In other words, you
split up what has been multiplied. Division implies a result. For
example, God's division of mankind at the tower of Babel was a result
of disobedience to His law. (For a treat, use a concordance to look
up all the instances of God's exercising His mathematical laws in
the basic operations.)
Mathematics, then, demonstrates that God has given law with blessings
and curses. Addition and multiplication are generally related to
blessings as a result of obedience; subtraction and division are
often related to curses as a result of disobedience. Isn't it wonderful
how our great God uses things we understand as lessons to describe
His nature?
We can also see God in the mathematical notion of place. Just as
God designed a dwelling place for Himself-the tabernacle-so He designed
a dwelling place for numbers. The mathematical notion of place is
the understanding that numbers make sense only in their notational
context. In other words, just as a string of words in language means
nothing without grammar and syntax, so place value determines the
meaning of numbers in notation. This is the "decently and in
order" principle (1 Cor. 14:40) which is the key to the placement
of numbers in their meaningful context. Furthermore, in place value,
you have the recognition of the cyclical nature of numbers in the
cycle of the moon, year, and seasons-all God-ordained according
to His law. From the position of convenience, as well as reflecting
order in the universe, we need to realize that numbers do occur
in patterns and cycles.
God's nature is also revealed through the patterns and cycles of
fractions, time, and money. Fractions are essentially division problems.
Fractions take a whole and divide it into parts, whether it's one
pie divided into eight pieces or one apple divided into halves.
This simply reflects that wholes are made up of parts. This is reflective
of God's unity and His plurality-three Persons in one God. From
the tiniest created thing to the grandest, we find so many parts
to the whole that man can't enumerate them all!
That aspect of God's creation which we call time, we also enumerate.
We divide it into parts of the whole. Time is created by God with
a beginning and an ending. However, God does not reside in time,
which is the passage of one moment to the next, measuring the duration
of actions. Time deals with God's plan for the universe. He works
all things after the counsel of His own will (Eph. 1:11). Measurement
and passage of time are constant reminders that man is not autonomous.
God appoints the time of our birth and time of our death (Heb. 9:27).
We cannot escape time. God expects us to look at its patterns and
use it His way and for His glory! Like the Psalmist, we should exclaim,
"What is man that You are mindful of him . . .? As for man,
his days are like grass; as a flower of the field, so he flourishes"
(Ps. 8:4; 103:15).
Money is another part of God's creation which we enumerate. Money
is simply an application of quantity and quality to the things God
has made. It is related to weights and measures which are numerical
qualities of physical objects. In the Scriptures, money is derived
from the weight of a valuable substance. Silver, gold, and copper
are the metals valued highly enough to be used as coinage. The whole
point of a coin is that it is the value of that weight of that particular
precious metal. Money is necessary to the functioning of a commercial
economy (viz., the accepted value of different animals as sacrifices
in Levitical law). Gold and silver are seen as being created by
God for use as money. Our modern notion of money being backed by
the state is not found in Scripture. Correct use of money is one
aspect of exercising dominion for Christ.
Everything in God's creation has numerical quality, its little
mathematical tab. Applying mathematical principles and operations
practically in God's universe helps to fulfill His commandments
to use all things lawfully. Solving word problems by taking the
tools of math and applying them to practical situations is a major
way of accomplishing that objective. Such an understanding is required
for the exercise of wise stewardship over the resources God has
given. If children have nothing but math facts in their heads and
don't learn to apply these in a godly way for godly purposes, their
knowledge is useless.
Note: The examples of mathematical roots
in Scripture are excerpts from Doreen Claggett's Never Too Early,
Chapter Five, pp. 113-118. Her book is item 100, and can be located
under "Resources for Family Growth."
Now that we've covered some examples of mathematical roots in Scripture,
how does that apply to teaching Christ-Centered Math? In simplified
form, those same principles are woven into the curriculum "precept
upon precept, line upon line, Here a little, there a little"
(Isa. 28:10). In addition to such precious truths, children will
study godly character traits related to ten animal number families,
as taught through the delightful "Christ Centered Animal Stories"
CD (item 405), Math Flashcards set (item 404), and Math Lessons
Guides A and B (items 400 and 402). The character qualities are
as follows: Generosity (One Penguin), Flexibility (Two Deer), Loyalty
(Three Bear), Orderliness (Four Beaver), Courage (Five Skunk), Decisiveness
(Six Badger), Joyfulness (Seven Chickadee), Responsibility (Eight
Crow), Endurance (Nine Squirrel), and Determination (Ten Moth).
Academically, after completing Levels A and B, students will count
by 1's, 2's, 3's, 4's, 5's, and 10's; recognize numbers to 1,000;
understand greater than/less than to 999; identify missing numbers
in sequence; read and write numbers (numeration); do word problems;
understand place value (1's, 10's, 100's places); comprehend simple
fractions; tell time (hour, half hour, quarter hour, 5 minute increments);
understand the proper use of money (pennies, nickels, dimes, quarters,
half dollars, dollars); and proficiently know the 1-18 addition/subtraction
number families plus 2- and 3-digit addition/subtraction.
If you're concerned that such a high quality program
might be too challenging, please read on.
As Christian parents and teachers, we can all agree that when it
comes to spiritual truths, we ought to be teaching God's precepts
from a very early age, when a child's value base is first beginning
to develop. And we must do so over and over. Why? Because children
don't "get it" the first time, and even if they do, they
easily forget. If they do happen to remember, their sin nature will
quickly tempt them to choose to forget. If a child is prone to forget,
should we then stop teaching godly values because we feel "It's
too hard . . ." or "They'll never get this . . ."?
For example, if some little children are consistently mean to one
another, in spite of frequent godly admonitions, should we simply
quit teaching Ephesians 4:32 for awhile, and let them beat each
other up in the meantime? The answer to that is obvious: "No
way!"
Academically, the same principle applies. If we stop exposing our
children to concepts beyond what their performance can currently
measure, we run the risk of stifling their development. God has
built into our children's minds "little computers" which
will be with them all their lives. Therefore, we should stretch
those "computers" because they have a far greater capacity
than what they're using. In other words, we should keep entering
information; it is processing. Some day, when the right button is
pressed, the Lord will cause those "data entries" to pour
forth.
Don't be afraid of touching on the infinite! Although little children
are not as conceptually mature as adults, and need lots of concrete
examples, they have more of a capacity to learn than adults do.
For example, God has given them the ability to acquire an unknown
language with a speed that would make adults envious. They are masters
at compiling information and drawing conclusions. Long before they
can talk, they can discern relationships between objects, people,
sounds, actions, stimulus, and responses.
The relationships just mentioned are based on the experiences children
have. Some relationships are understood quickly, but others come
more slowly, and only after repeated exposure. In teaching any mathematical
operation, we should therefore expect students to catch on to the
"how to's" long before understanding the "whys"
and "wherefores." That is very normal. This is a problem
that will follow math students all their lives. We should faithfully
keep on teaching because we're trusting God, the Teacher of All
Knowledge (Ps. 94:10), to cause understanding to "click"
according to each child's perfect timetable.
Our world has trained us for mediocrity. But we have an opportunity
to train children to strive for excellence because this is what
God expects, for it is He who has given each child the capacity
to reach and to learn. For us to train little ones to simply "get
by" with what their peers are doing is probably looked upon
by God with as much disdain as the one who buried his one talent.
God has given young children minds capable of tremendous accomplishments!
If we fail to help our students develop such gifts, He could end
up recalling them. (This follows the "use it or lose it"
principle.)
In closing, math is truth, because God made it that way. It is
something you can always rely on. So we hope you will enjoy the
concreteness of math, and pass that joy on to your children! God's
creation is so reflective of His grandeur that it ought to bring
us all to our knees shouting: "You, LORD, have made me glad
through Your work; I will triumph in the works of Your hands. O
LORD, how great are Your works! Your thoughts are very deep"
(Ps. 92:4-5).
If this birds-eye view of God's number system has excited you as
much as it does us, then Christ-Centered Math is the RIGHT CHOICE
for you and your family!
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