CONTENT CATEGORIES OF MATHEMATICAL KNOWLEDGE

CONTENT CATEGORIES OF MATHEMATICAL KNOWLEDGE

     There are three content categories in mathematical knowledge they are,

1.       Facts: Facts are those which can be Facts are in single occurrence and predict values.

2.       Ex:          01=1,           π=22/7 etc. observed and can measure which was already proved.

The facts are static.

Ex:          * The symbol of Addition is “+”.

                * 16 is divisible by 4.

                * Triangle is a three sided geometrical figure.

2.  Concepts: Concepts are the factors which have a clear cut explanations.

                               Class of stimuli which have common characteristics.

            Ex-1: Triangle, , Quadrilaterals,Circle etc.

                           *Name: Name of class or stimuli.

                           * Attribute: Essential or non-essentials, they are different.

                           * Attributed values: Some are having and other do not have values.

                           * Rule: Principles, definitions, theories etc.

Examples-2:

a)      Triangle	3 sides are equal	Equilateral triangle
b)      Even numbers	Adding any two even numbers we get even number only.	6         +2 = 8

3. Generalisation: Statement expressing in relationship with two or more concepts.

               Ex-1: Triangle, types of triangle, area, quadrilateral etc.

               Ex-2:       1 + 2 = 2 + 1

                                    3   =   3

 Therefore In general a + b = b + a

4. Procedures: These are sequence of facts, they are arranged in an order. Step by step process of mathematical operations. Or It is the Statement used to solve the problem step by step,

Ex-1:       1+ (2+3) = (1 +2) + 3

                      1 + 5 = 3 + 3

                             6 = 6

Ex-2:          *Commutative property

                         a + b = b +a

                   * Law of exponential

a^m X aⁿ = a^mn

Ex-3:             2 + 6 ÷ 3 – 1 x 2

2         + 2 – 2 = 2