*   Exponents as Fundamental Concepts for Basic Mathematics  *

 

Technolody and Mathematics for Teachers (TMT)

 

Exponents are superscripted (small) numbers at the top right corner of a normal number.

They are a special notation related to repeated multiplication of a base or normal number.

 

Referred to in words as: ( seven raised to the second power equals forty-nine ).    72 = 49

*  Seven being the Base Number  *  Two being the Exponent or Power  *   Forty-nine the result.

 

The concept of exponents is  not usually  considered Basic or Fundamental Mathematics,

however, it is becoming included more times than not in Elementary Mathematics.

 

    The writer considers eight categories of concepts to be essential to Mathematics:

Whole,  Decimal,  Fractions,  Mixed,  Exponents,  Square Roots,  Proportions,  Percents.

 

There is growing acceptance for Exponents and Square Roots to be included in the Basic

and Fundamental Concepts of Elementary Mathematics.   * The World of Math Online *

 

The writer considers the topics of Exponents and Square Roots as fundamental if for no

reason then they provided  excitement  to the traditional mundane Mathematics topics.

 

Exponents:             N0    N1    N2    N3    N4    etc…

 

Examples:              50 = 1       51 = 5       52 = 25      53 = 125     etc…

 

Not only should Exponents be understood but this concept can be raised a level by using

them in simple addition, subtraction, multiplication and division problems.

 

 

23 + 42 = ____                   8 + 16 = 24

 

 

71 – 30 = ____                   7 – 1 = 6

 

 

41 * 32 = ____                   4 * 9 = 36

 

 

62 / 91  = ____                   36 / 9 = 4

 

 

By including Exponents at a very simple level with only understanding and with simple

binary problems, it allows time for students to assimilate this concept before Algebra.

As well as, previously mentioned they add excitement and challenges to Basic Mathematics.

 

Tom Love                        Malone College                 Fall 2003