Monday, 22 June 2009
To become a good teacher, we must have the ability to become a qualified instructor. Quality here is not only able to transfer knowledge well, but must also always claimed to be able to develop the personality of students so that a man who has good quality. In order to become competent educators who have both, the direct / literal we should have a good grammatical ability. So that we can pour what is in our minds, to be taught to the students. At least, we should take two important language in the communication system in this life. Among Indonesian language as a unity and the English language as the international language.
In the modern era like now, science and technology have been increasingly developed, so that the paradigm of a society is also more advanced. Therefore, as a teacher educator must have competence in speaking English is always good to learn and in the process of teaching. Similarly in Mathematics education, we must always know and follow the development of mathematics education at the international stage. Behind all that, we must always learn to be able to provide the knowledge wich is up to date accordance with the development of the age so rapidly as now, but must also maintain the essential sestem education of our nation.
In a teaching process, the ability to speak in English is also very important to be able to deliver a material with good. First of all that, a teacher must be able to teach science well, and build time so that students can become complex, so that generation of nation-quality.
WRITTEN BY : Endra Ari Prabawa (07301244071)
WHAT I HAVE DONE AND WHAT I WILL DO IN MATHEMATICS EDUCATION WORLD
As a student in a University, I try to cast about many problems that could I find in mathematical education, classical and modern learning method. We conscious if mathematical education must be appropriate with a new era or be up to date in this time. Therefore, we must find the innovation about how to teach well in this time.
Mathematics education is the practice of teaching and learning mathematics, as well as the field of scholarly research on this practice (Wikipedia). So the first I must know about the history of mathematics. In this case, we will find about mathematics from elementary mathematics that it was part of the education system in most ancient civilizations.
I had studied a little about mathematical teaching method. Then I could find out some fault about how to convey a mathematical knowledge. So we must use the mathematical teaching method witch is appropriate with the circumstances, starting from student, a prior knowledge of student and learning method. The method or methods used in any particular context are largely determined by the objectives that the relevant educational system is trying to achieve. Methods of teaching mathematics include the following( Wikipedia ) :
Conventional approach - the gradual and systematic guiding through the hierarchy of mathematical notions, ideas and techniques. Starts with arithmetic and is followed by Euclidean geometry and elementary algebra taught concurrently. Requires the instructor to be well informed about elementary mathematics, since didactic and curriculum decisions are often dictated by the logic of the subject rather than pedagogical considerations. Other methods emerge by emphasizing some aspects of the conventional approach.
Classical education - the teaching of mathematics within the classical education syllabus of the Middle Ages, which was typically based on Euclid's Elements taught as a paradigm of deductive reasoning.
Rote learning - the teaching of mathematical results, definitions and concepts by repetition and memorization. A derisory term is drill and kill. Parrot Moths was the title of a paper critical of rote learning. Within the conventional approach, is used to teach multiplication tables.
Exercises - the reinforcement of mathematical skills by completing large numbers of exercises of a similar type, such as adding vulgar fractions or solving quadratic equations.
Problem solving - the cultivation of mathematical ingenuity, creativity and heuristic thinking by setting students open-ended, unusual, and sometimes unsolved problems. The problems can range from simple word problems to problems from international mathematics competitions such as the International Mathematical Olympiad.
New Math - a method of teaching mathematics, which focuses on abstract concepts such as set theory, functions and bases other than ten. Adopted in the US as a response to the challenge of early Soviet technical superiority in space, it began to be challenged in the late 1960s. One of the most influential critiques of the New Math was Morris Kline's 1973 book Why Johnny Can't Add. The New Math was the topic of one of Tom Lehrer's most popular parody songs, with his introductory remarks to the song: "...in the new approach, as you know, the important thing is to understand what you're doing, rather than to get the right answer."
Historical method - teaching the development of mathematics within an historical, social and cultural context. Provides more human interest than the conventional approach.
Standards-based mathematics - a vision for percolate mathematics education in the US and Canada, based on constructivist ideas, and formalized by the National Council of Teachers of Mathematics which created the Principles and Standards for School Mathematics.
In my opinion, teaching is not a science, it is an art. We know that there are as many good ways of teaching as there are good teachers. We must add from the action of our own mind in order to learn something, including on teaching. We must do the best that we can doing, from all of our experience of teaching, and all of our knowledge about mathematical teaching method.
The student learns by his own action. The most important action of learning is to discover it by ourself. However, we can use many ways to teach well. This will be the most important part in teaching such that what we could discover by ourself will last longer and be better understood. And then, I will always try to be the best that I can do in teaching mathematic.
Written by:
Endra Ari Prabawa
(07301244071)
Student of Mathematic Education, Mathematic and Science Faculty of Yogyakarta State University.
References
http://mathematicallysane.com/home.asp
EXPRESSING THE VIDEO WHICH I HAVE SEEN IN ENGLISH PART 2
VIDEO 1
DO YOU BELIEVE
In this video, there is a children of primary school as a keynote. By convincing the audience he said that we must believe in ourselves. We can achieve all that we expect through a dream and we can become anything we want.
more or less, words such as the following:
Do you believe?
I can do anything, dream anything, and become anything??
I can do anything, dream anything, and become anything???
because you believe me.
Let’s me ask you a question that’s easy.
Do you believe on my classmate.
Believe yourself, trust yourself, and mean yourself.
Because, we need you.
Please, believe yourself!
2 WHAT YOU KNOW ABOUT MATH
In this video we can find some encouragement to learn mathematics are simple. We can see various aspects of the knowledge learned in mathematics. There are limits, integral, trigonometry, and also wake up even.
There are some significant figure in math, that is the equals sign, the of plus sign, the multiplication sign, and the division sign. There are limits, integral, trigonometry, and also wake up even.
Essence of school mathematics
Mathematics is pattern
Mathematics is a pattern. So that students can apply in their dailly mater. Even in other sciences are also very useful.
Mathematics is communications
Mathematics is one form of communication which is very useful. Mathematics can be a form of communication if each of the individuals who interact in a world the same, namely the world of mathematics.
Mathematics is investigation
Mathematics is a form of discovery. Because the method of mathematics and science, can produce the forms in the discovery of new knowledge which is very influential in the development of the age.
Mathematics is problem solving
Mathematics is a form of problem. Especially in science, mathematics is needed to progress human civilization.Nature of student of math
The Nature of student in Mathematical education
Student needs motivation
Students must always motivated because he still has the unstable nature. If not, students despair just because of the problems small problems.
Student is unique
All students have different characteristics, therefore, unique students. So in the teeth, we must be wise to all students.
Student have a competence
Individual students have competence in himself. So we must be able to manage their competency that could be useful as well as possible.
Student is contextually
Students have relevance, hence we must understand the relevance of that, so that we can take advantage of the creativity to develop each student.
THE NATURAL OF LOGARITHM
g logarithm of a equals x, it is mean that g to the power of x equals a. g logarithm b equals y, it is mean that g to the power of y equals b.
if,
g logarithm a equals x, it is mean that g to the power of x. g logarithm b equals y, it is mean that b equals g to the power of y. So we can conclude that :
a cross b equals g to the power of x cross g to the power of y. it is mean that a cross b equals g to the power of x plus y in bracket.
g logarithm a cross b in bracket equals g logarithm g to the power of open bracket x plus y close bracket, it is equals to : open bracket x plus y close bracket cross g logarithm g. we know that g logarithm of g is 1, so we can conclude that g logarithm open bracket a cross b close bracket equals x pus y. And then, we can write : g logarithm open bracket a cross b close bracket equals g logarithm a plus g logarithm b.
a devided by b equals g to the power of x devided by g to the power if y, it is same as a devided by b equals g to the power of x minus y in bracket. It is same as g logarithm a devided by b in bracket equals g logarithm g to the power of x minus y in bracket . it is same as g logarithm a devided by b in bracket equals g logarithm a minus g logarithm b.
g logarithm a to the power of n equals g logarithm open bracket a cross a cross a till n factor of a close bracket. So it is mean that “g logarithm a to the power of n equals g logarithm a plus g logarithm a plus g logarithm a plus … till n factor of a…” so, we can conclude that “g logarithm a to the power of n equals n cross g logarithm a.”
TO FIND OUT THE VALUE OF PHI NUMBER.
We can follow the value of phi, by the ratio of area of circle to its distance square and ratio circle the circle with its diameter is constant. The value of phi number got from measurement of area of circle that is open bracket 8 over 9 times d close bracket to the power of 2; by d is diameter, and d equals 2 times r; by r is radius. And got by equation of area of circle (A) equals open bracket 8 devided by 9 times 2 times r close bracket to the power of 2, equivalent A equals 64 over 81 times 4 times r to the power of 2, equivalent A equals 256 over 81 times r to the power of 2, equivalent 3,16 times r to the power of 2. Considering formula look for the area of circle equals phi times r to the power of 2, so, value of phi is 3,14
Velocity : kecepatan
Aircraft that go with high velocityProphecy : ramalan
the prophecy is said that this day will be no visits
Fractional : pecahan
Fractional, including the rational number
Compound : campuran
This formula, consists of a compound of fational number
Union :gabungan
This graph,consists of a union of several square
Sketch : sketsa/bagan
Sketch this graph in the cartesius field.
Inequality : ketaksamaan
there are many ways to learn the triangle inequality
Equation : persamaan
Solve this square equation with ABC formula
Whole : seluruh
Whole of the formula is very good
Opposite : berlawanan
The opposite of rational number is irrational number
Quire : dua lusin
I buy quire of plate
interdisciplinary mathematics :antar matematika
we must learn interdisciplinary mathematics.
Isosceles : sama kaki
The isosceles triangle have two same side.
Acute : lancip
the size of the acute angle of less than 90 o
Octangula : octangula
octangula is a form of two-dimensional
Obtuse : tumpul
the size of the obtuse angle of more than 90 o
Quantitative : quantitas
Quantitative research is the systematic scientific investigation of quantitative properties and phenomena and their relationships.
Manipulating : manipulasi
I'm trying to manipulate/change a formula prior to passing it to another function.
infinitely : tak terbatas
number is infinitely
Sunday, 22 February 2009
How to comunicate mathematics education in English
In this case, comunicate has the meaning to hear,to say/talk,to write,to read, and to understand about all aspects of modern mathematic which includes the following : algebra, arithmetics, geometry, calculus, statistics, trigonometry, computer/ICT, ect.