We learn calculus, algebra, trigonometry, etc in this second
semester of mathematics education continuously. If we learn in the higher
semester of mathematics education program, then we will get the subject of pure
mathematics lessons. Besides the mathematics education program, there is
mathematics program and what is the difference between mathematics education
program and mathematics program?
Mathematics program learn pure mathematics and mathematics
education programs not only learn mathematics but also have the educational
background of mathematics from semester 1 to semester 6.Mathematics education
is for younger student in pre elementary school or kindergarten, elementary
school,junior high school, senior high school and high school of university.
In learn mathematics we should feel happy because if we
happy then we can learn it with high motivation to reach our purpose. As a
student in mathematics education program we will make the student understand
where is their position between the older people and the younger people.
There is difference between older and younger people. The
older people have many experiences than the younger people. So, the younger
people is novice and the older people is experiences.
Psychologically, the difference between older people and
younger people are :
The younger people think mathematics in concrete material
from daily and the older people think mathematics in abstract materials (mind
object)to look for values.
The older people always think to abstract the object from
daily. It means that the older people taking certain properties which they want
to learn.The older people think about the abstract materials or mind objects
wich consider all of the exist properties is perfect.
For example: a line is perfectly straight, which have
no width.
Ability of thinking between the older people and the younger
people is different. The older people have higher ability of thinking than the
younger people.
For example: we have number as shown below
2 7
The older people and the younger people have different
thinking about that number because they have differences in ability of
thinking.
For the younger people, they have ability of thinking that
said if 2 is bigger than 7
For the older people, they have ability of thinking that
said if 2 is always smaller than 7 because the older people don’t think about
the shape but they think about the value.
Ebbut Straker (1995) defines the following school
mathematics:
· Mathematics is the search of patterns and relationships
Gave students the opportunity to conduct discovery and
investigation to determine patterns of relationships.
Provide an opportunity for students to perform experiments
premises in various ways.
Encourage students to discover the sequence, difference,
comparison, grouping, etc.
Encourage students to draw general conclusions.
Help students to understand and find a relationship between
understanding one another.
· Mathematics is investigation activity
Encourage the initiative and provide an opportunity to think
differently.
Encourage the curiosity, the desire to ask, the ability to
refute and ability estimates from students.
Appreciate the unexpected discovery as beneficial rather
than take it as a mistake.
Encourage students to discover the structure and design of
mathematics.
Encourage students to appreciate the discovery of other
students.
Encourage students to think reflexive.
Does not recommend the use of a particular method.
· Mathematics is problem solving activities
Provide an environment that stimulates learning mathmatics
problem.
Help students solve mathematics problem using their own way.
Help students find the information needed to solve
mathematic problems.
Encourage students to think logically, consistently,
systematically and develop a system of documentation / records.
Develop the ability and skills to solve problems.
Helps students learn how and when to use various visual aids
/ media of mathematics education such as: term, calculator, etc.
· Mathematics is a means of communication
Encourage students to recognize the nature of mathematics.
Encourage students to make examples of the nature of
mathematics.
Encourage students to explain the nature of mathematics.
Encourage students to justify the need for mathematics
activities.
Encourage students to discuss mathematics problems.
Encourage students to read and write mathematics.
Respect the student’s mother tongue in talking about
mathematics.
And the character of student learn are
Student learn mathematics effectively if student have good
motivation and good preparation
Student learn mathematics individually
Student learn mathematics incollaboration with others
Student learn mathematics in context
Source : Lecture from Dr. Marsigit, M.A
