Tuesday, December 6, 2011

MATHEMATICS TEACHING ACROSS MULTICULTURAL CONTEXT


By: Anniltal Manzilah


Introduction
Since 1968/1969, a more systematic approach to develop education in Indonesia has begun to be evident. Since that time up to the late of 1990, the approach to develop education has designed under the assumption that curricular objectives could be logically derived from national and system-wide goals and then broken down into a precise hierarchy of instructional objectives, and that learning could be made individualized and ‘teacher-proof’ so that students could learn what they needed to learn with minimal assistance from teachers (Shaeffer, 1990, pp.22). However, in 1984, evidences indicated that the approach was perceived not to able to mobilize resources and to embark the model to the nationwide application.
Mathematics teaching system is different in almost every countries or may be in every city. It’s because every country have a different culture, so that they use or employ a method, teaching aid, curriculum, etc which match with their culture. For example in our country. Indonesia not only have a culture, but there are so many culture in our country. That’s why the president make a KTSP curriculum. By employ KTSP, our country just make one model or standard for all schools in every grade. And that is the minimum standard, so that the favorite or best-quality school can improve the curriculum to reach the best achievements. The others countries is also have a foreigh to optimalize their Mathematics teaching system to get the best achievements and to produce the best human resources by give the best education. They optimalize their educational system appropriate by their own culture so that they can get the best human resources to develop their natural resources.

Mathematics Teaching Across Multicultural Context

There are some differences of mathematics teaching system in every country because of the differences of their culture. For example, we can make a comparison of the mathematics teaching system in some countries, such as Philippines, Thailand, Japan, and our country, Indonesia. We will find a differences the teaching system because of the culture differences, and the human resources quality.
              ­­­­­First, we will go to Japan. In this country,  the purpose of mathematics education in Japan is to study how to think, the point of view of every thing, and better human being formation through learning of mathematics; to study mathematical practical use, utility through learning of mathematics; and to enjoy and develop the wonderful cultural heritage of mathematics through learning of mathematics (Nishitani, 2002). Further he stated that the characteristics of the new course of study in Japan consist of: (a) reduction of the learning contents, (b) decrease of the number of classes, (c) comprehensive five-day school week, (d) integrated study mathematical activities, (e) practical and operational activities and problem-solving activities and so on, (e) basis points of active learning, (f) have the purpose of learning clearly, (g) have interest in the subject, (h) have an perspective to solve the problem, (i) have a feeling of satisfaction and joy, and (j) acquire the way of learning.
Beside that, the Japanese educational system is characterized as centralized in which at the regional level, the prefectures or district has its own board of education. Marsigit, in his article, Math Programs for International Cooperation in Indonesia (2002) said that generally, it’s like the KTSP in Indonesia, but we don’t bring about it well yet. In Japan, the schools are established by the national government, a local government or an educational cooperation. The board of education carries out the educational functions of the local government. Teachers are encouraged to be more flexible and to recognize that children need to be active. Teachers encourage their students involving in classical discussion. It seems that teachers more emphasize on teaching with understanding than stressing on calculating. However, some teachers implement a series of drills to master the skills.
In Japan, some of the students by their own initiations , complete the books by buying from the bookstores. At our country, we know it’s too impossible to act, because as we know, not of all students in a school is from a good economical family.The teachers use the textbooks for developing their mathematics problems. The students are instructed to bring the textbook to their home. At class, the students use both textbooks and book of collection of problems. Calculators are to be used but only a little; some of the teachers perceive that calculator has a little value in education. However, teachers introduce abacus for laying the basic skill of computation. Most of primary schools employ worksheets in their teaching. Worksheets in Japanese education is not like in our country. In Japan, worksheets contains anythings the students have to do, not so many questions to do like we always found in almost everyschool in our country.
To improve the quality of mathematics and sciences education, in a certain occasion, Japanese educational expert suggested the followings: (a) implementing open class teaching, (b) encouraging the teachers to make their own teaching material (textbook), (c) evaluating teaching learning processes by their students, (d) analyzing students’ mistakes and errors, (e) encouraging the teachers to have good and strong will (spirit) to develop their competences, (f) implementing good balance of old and new method in teaching, (g) promoting good collaboration between university and school, (h) teachers should have their own original method in teaching, (i) teachers should continue to develop their teaching ability, (j) teachers always ask how to make their own class better, and (k) the role of teacher is similar to doctor; rescue the children.
Next, we will go to Philippines and compare how far the differences of their mathematics education system and ours. In Philippines, a students will pass six years in elementary school, four years in second level, and four or five years in third level. Its not like in our country or Japanese one. In Japan, the level division is like in our country. The purpose of the Phillipines mathematics education is almost same as the Japanese one. Both of them try to give the students various experiences will increase their capability to thinking logically and to be creative in using mathematics problems according to the fact in their daily life.
Philippines have give more times to the students to learn mathematics than Japan. For example, in first grade, Philippines students learn mathematics more than the students in Japan. And beside that, Pihilippines is also use English in introduction, but Japan use their own language, Nihongo. In Phileppines, the students textbooks should used and will be improved in every five years. That’s not like in Japan, because in Japan, the textbooks will be improved in every three or four years. The Philippines textbooks give many exercise to the students to drill their ability in calculating. Philippines is looks not so different with our country. They give too many lessons, so that the students will forget the lesson quickly. Because it’s over than their capacity in receiving knowledge. Japanese students try to enjoy their mathematics, not coerced to learn over their capacity.
And then, we will look at the mathematics teaching system in Singapore. In this country, every subject will teached by three teachers, that is a master teacher, and his/her two assistents. They said it’s just to make the students learn mathematics easier. Further, in Singapore, the education system is based on the thoughts that every students have a unique talent and interests. Singapore employs a simple method and flexible one to develop the students capability. Evaluation of the students did continuous, even since the students still in elementary school. The students’s six years in elementary school divide to two categories. For first four years, the students learn English, Malay language, and mathematics. Singapore teach the students mathematics since elementary school so that the students can develop their ability in thinking logically, thinking critically, and be accustomed to solve any problem. But there are other subjects to develop the students’s talent like music, art, sport, etc. And then, the students’s two years will be used to prepare them to pass final examination.
Singapore curriculum has been international curriculum and has used to be a model to the others, espescially in mathematics teaching.
In our country, The current picture of teaching practice in Indonesia is generally extensive teacher directed explaining and questioning in the context of whole class instruction followed by students working on paper and pencil assignments at their places. The teacher functions as the central figure in determining activities and conducting instruction; and, the students rarely actively engage in learning directly from one another or in initiating processes of interaction with others. Most teachers observed spend most of the time conveying information to children; the blackboard is by far the commonest visual aid but was often used as the teachers' scribbling pad rather than for presentation of a logical sequence of ideas. The challenge for educators in the next decade is to improve students' learning of higher order skills in mathematics; teachers should organize instruction to involve children so that they actively construct their own knowledge with understanding (Peterson in Grouws, et al., 1988).
The condition of Mathematics education in Indonesia have the indication that children’s achievement in the subjects of mathematics and Science is low, as indicated by the result of the National Leaving Examination (EBTANAS) year by year both in Primary and Secondary School. Children’s mastery on Mathematics and Science concepts and Science process skills is still low. This fact may be as the results of: (a) the shortage of laboratory activities; (b) lack of teachers having mastered science process skill approach; (c) contents on Mathematics and Science curriculum too crowded; (d) too many time consuming administration stipulation for teachers; (e) lack of laboratory equipment and laboratory human resource. The studies also indicates that mismatch among the objectives education, curriculum, and evaluation system which can be identified by the following: (a) National Leaving Examination assess the children’s ability cognitively only; (b) Streaming in Senior Secondary School starting at grade 3. It is argued that the implementation of this system is late and consider individual differences inappropriately; (c) University Entrance Examination (UMPTN) System is considered to trigger Elementary and Secondary School teachers apply goal oriented rather than process oriented in teaching Mathematics and Science.
Indonesia have a curriculum called KTSP. KTSP is a minimum standard of Indonesia’s curriculum for every school for each grade. This curriculum adapt to the school of isolated regional, so that the good-quality school can make improvisation so that the curriculum is match with the culture in every province in Indonesia.

Conclusion
There are some differences of mathematics teaching system in every country because of the differences of their culture. For example, we can make a comparison of the mathematics teaching system in some countries, such as Philippines, Thailand, Japan, and our country, Indonesia. We will find a differences the teaching system because of the culture differences, and the human resources quality.
The characteristics of the new course of study in Japan consist of: (a) reduction of the learning contents, (b) decrease of the number of classes, (c) comprehensive five-day school week, (d) integrated study mathematical activities, (e) practical and operational activities and problem-solving activities and so on, (e) basis points of active learning, (f) have the purpose of learning clearly, (g) have interest in the subject, (h) have an perspective to solve the problem, (i) have a feeling of satisfaction and joy, and (j) acquire the way of learning.
In Philippines, a students will pass six years in elementary school, four years in second level, and four or five years in third level. The purpose of the Phillipines mathematics education is almost same as the Japanese one. Both of them try to give the students various experiences will increase their capability to thinking logically and to be creative in using mathematics problems according to the fact in their daily life.
In Singapore, every subject will teached by three teachers, that is a master teacher, and his/her two assistents. They said it’s just to make the students learn mathematics easier. Further, in Singapore, the education system is based on the thoughts that every students have a unique talent and interests. Singapore employs a simple method and flexible one to develop the students capability.
            In Indonesia, there are a curriculum called KTSP. KTSP is a minimum standard of Indonesia’s curriculum for every school for each grade. This curriculum adapt to the school of isolated regional, so that the good-quality school can make improvisation so that the curriculum is match with the culture in every province in Indonesia.