Transcript of A New Look at the Basics By: Brian Brewer Basic Mathematics – 4 th Grade Fractions have been the...
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- A New Look at the Basics By: Brian Brewer
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- Basic Mathematics 4 th Grade Fractions have been the Achilles
heel for most of us in our educational journey in mathematics.
Fractions are very simple but are usually taught in blocks or grids
to make a whole. This limits our ability to utilize the same
features that fractions share with other modes of arithmetic.
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- Basic Mathematics-cont. This limits our ability to utilize the
same features that fractions share with other modes of arithmetic.
Fractions should simply be looked at as ratios such as one of two
pieces is one-half. Calculus Algebra Basic Mathematics
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- Mathematical Relationships The relationship between the
properties of mathematic computation is so similar that we tend to
over complicate its design. So lets review: Adding = Multiplication
4 + 4 + 4 + 4 = 16 4 x 4 = 16
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- Mathematical Relationships-cont.
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- Intermediate Algebra Relating the fractions to subtraction is
exactly what will simplify mathematics to people who are challenged
with mathematical reasoning. Using fractions as ratios instead of
division immediately helps in solving algebraic expressions. Using
ratios helps in graphing algebraic expressions by relating slope to
the difference of line helps students to identify with the task at
hand. 1/3 = 1
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- College Algebra Understanding ratios leads to simplify slope
(rise over run) and other algebraic equations in upper
mathematics.
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- Trigonometry Trigonometry is define as a branch of mathematics
dealing with properties of triangles and their applications. This
mathematics branch is simplified through understanding rules of
circular angles and how they apply to common shapes. For example a
square is a circle with for right angles and equal sides..
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- Calculus Knowing fractions and basic mathematics also helps in
Calculus when derivatives and limits are taught because they relate
back to the essentials of ratios which are nothing more than
FRACTIONS!!!
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- Remember!!!! Basic Mathematics are skills that can be tweaked
to better serve our youth!!!!
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- Mathematical Relationships show the continuity of math from one
form to the other
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- Algebra shows the relating of basic reasoning skills to complex
problems!!!!!
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- Calculus and other mathematical skill sets are developed at a
much earlier time!!!!
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- Reference What is Trigonometry definition-http://www.cut-
the-knot.org/WhatIs/WhatIsTrigonometry.shtml
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- Author: Brian Brewer