• Education of Primary School Mathematics
• /
• v.11 no.2
• /
• pp.81-94
• /
• 2008

The 7th national curriculum requires the paradigmatic shift in education from teacher-centered to student-centered instruction. But, teachers beliefs on instruction have not been changed during implementing of the mathematics textbooks based on the curriculum. More exactly speaking, they are changed very slowly. Therefore, some beliefs they should establish in order for them to implement it were discussed: Perspectives of students' intelligent ability, learning goal for the every lesson, the passibility of teaching contents involved in the national curriculum, the size of classroom, and students' achievements.

• Journal of the Korean School Mathematics Society
• /
• v.1 no.1
• /
• pp.151-163
• /
• 1998

In mathematics education, teaching-learning activity can be divided largely into the understanding the mathematical concepts, derivation of principles and laws, acquirement of the mathematical abilities. We utilize various media, teaching tools, audio-visual materials, manufacturing materials for understanding mathematical concepts. But sometimes we cannot define or explain correctly the concepts as well as the derivation of principles and laws by these materials. In order to solve the problem we can use the computer. In this paper, character and movement state of various quadratic function graph types can be used. Using the computers is more visible than other educational instruments like blackboards, O.H.Ps., etc. Then, students understand the mathematical concepts and the correct quadratic function graph correctly. Consquently more effective teaching-learning activity can be done. Usage of computers is the best method for improving the mathematical abilities because computers have functions of the immediate reaction, operation, reference and deduction. One of the important characters of mathematics is accuracy, so we use computers for improving mathematical abilities. This paper is about the program focused on the part of "the quadratic function graph", which exists in mathematical curriculum the middle school. When this program is used for students, it is expected the following educational effect. 1, Students will have positive thought by arousing interests of learning because this program is composed of pictures, animations with effectiveness of sound. 2. This program will cause students to form the mathematical concepts correctly. 3. By visualizing the process of drawing the quadratic function graph, students understand the quadratic function graph structually. 4. Through the feedback, the recognition ability of the trigonometric function can be improved. 5. It is possible to change the teacher-centered instruction into the student-centered instruction. For the purpose of increasing the efficiencies and qualities of mathmatics education, we have to seek the various learning-teaching methods. But considering that no computer can replace the teacher′s role, tearchers have to use the CIA program carefully.

• Journal of Educational Research in Mathematics
• /
• v.8 no.2
• /
• pp.405-423
• /
• 1998

This study aims to reflect the origin and the meaning of open education and to derive pedagogical principles for open mathematics education. Open education originates from Socrates who was the founder of discovery learning and has been developed by Locke, Rousseau, Froebel, Montessori, Dewey, Piaget, and so on. Thus open education is based on Humanism and Piaget's psychology. The aim of open education consists in developing potentials of children. The characteristics of open education can be summarized as follows: open curriculum, individualized instruction, diverse group organization and various instruction models, rich educational environment, and cooperative interaction based on open human relations. After considering the aims and the characteristics of open education, this study tries to suggest the aims and the directions for open mathematics education according to the philosophy of open education. The aim of open mathematics education is to develop mathematical potentials of children and to foster their mathematical appreciative view. In order to realize the aim, this study suggests five pedagogical principles. Firstly, the mathematical knowledge of children should be integrated by structurizing. Secondly, exploration activities for all kinds of real and concrete situations should be starting points of mathematics learning for the children. Thirdly, open-ended problem approach can facilitate children's diverse ways of thinking. Fourthly, the mathematics educators should emphasize the social interaction through small-group cooperation. Finally, rich educational environment should be provided by offering concrete and diverse material. In order to make open mathematics education effective, some considerations are required in terms of open mathematics curriculum, integrated construction of textbooks, autonomy of teachers and inquiry into children's mathematical capability.

• Journal of the Korean School Mathematics Society
• /
• v.2 no.1
• /
• pp.219-229
• /
• 1999

Nowadays the use of computer has a tendency to be being increased in classroom. Also, Many mathematics teachers are attempting to use computer efficiently in classroom. Computer has unique functions such as graphic, animation, and error correction. As graphic and animation can make the content of mathematics visible and make it easy for learners to study mathematics, it is desirable to develop the computer educational program and use it in teaching and learning mathematics. Especially, before concepts study on the unit of Figure or Function, the use of graphic or animation is efficient by being able to understand easily the content. The purpose of this thesis is to produce the computer program on the Movement of Figure in the unit of Equation of Figure which is in mathematics curriculum for the first grade of high school. In teaching and learning mathematics by use of this program, the educational effects are expected as follows: 1. It is expected that this program will stimulate the interest of learners by using animation and acoustic (sound) effect and so learners' voluntary and active thinking activity will be shown. 2. It will be helpful to form exact concept because it is possible to understand intuitively the basic concepts on the Movement of Figure by using graphic and animation. 3. It is expected that the repeated study of this program already designed will remove the fear of incomplete parts and help review them. 4. It is possible to change from teacher-centered instruction, which is the blind point of recent mathematics education, to the learner-centered instruction. However, it is necessary to realize that using the educational engineering (computer) in mathematics education cannot always cause learners to study mathematics very well and that computer cannot take the place of mathematics teacher. Accordingly, computer will be treated as aids which help learners study difficult part.

• The Mathematical Education
• /
• v.46 no.4
• /
• pp.465-482
• /
• 2007

The purpose of this study was to explore how pre-service elementary school teachers participate in a course specifically designed to help them learn how to analyze instruction in terms of the levels of cognitive demand of mathematical tasks. This paper describes what prospective teachers learned while reading the cases of "implementing standards-based mathematics instruction", analyzing all tasks of one unit in one elementary mathematics textbook, observing master teachers' mathematics instruction as well as their colleagues during the practicum period, and developing their own cases on the basis of the design and implementation of instruction focused on mathematical tasks. This paper includes various reflections of the prospective teachers.

• Research in Mathematical Education
• /
• v.11 no.2
• /
• pp.101-126
• /
• 2007

We analyze the possibilities of using Information and Communication Technologies as a resource in the teaching/learning of Mathematics and we show the results of concrete experiments carried out with the games: "Adibu", "La ciudad perdida" and "Drood en el planeta siete", with fourteen students and two primary school teachers in a school in Santa Cruz de Tenerife (Spain). Our analysis of the games is made within a global framework in which individual, cooperative and collaborative learning are considered, taking as reference the theoretical frameworks set out by Piaget, Vygotsky, and the principles of collaborative learning (Computer Supported Collaborative Learning).

• Journal of Elementary Mathematics Education in Korea
• /
• v.19 no.3
• /
• pp.323-345
• /
• 2015

This study is intended to establish and apply a program created with RME for mathematising instruction and learning and identify how it influences on the mathematical thinking process in the field. In order to deal with this study inquiries, related theories have been analyzed establishing a program for mathematising instruction and learning method based on a model of them and RME theory principles and re-organizing education courses for instruction on the fields concerned. Study subjects were limited to two classes consisting of fifth graders in S elementary school located in the city of Daegu and divided them in an experiment group and a control group. An experiment group was given a mathematising learning method applied with RME, while a control group had a class with regular methods of learning and instruction during the period of experiment. As a summary of aforementioned results of the study, mathematising learning method applied with RME had an effect on improving mathematical thinking ability for students and also on promoting mathematising outcome through a repetitive experience in each procedure obtained on a regular basis.

• Education of Primary School Mathematics
• /
• v.12 no.2
• /
• pp.99-115
• /
• 2009

One of remarkable characteristics of 2007 revised mathematics national curriculum is the emphasis of communication in classroom. It does not mean only listening students' comments. In other words, it is different from presentation of individuals' thoughts. In the paper, teaching and learning practices required teachers who want to establish classroom culture supporting harmonious communication in mathematics instruction.

• Research in Mathematical Education
• /
• v.12 no.1
• /
• pp.67-83
• /
• 2008

Promoting students' mathematics understanding is an important research theme in mathematics education. According to general theories of learning, mathematics understanding is close to active learning or significant learning. Thus, if a teacher wants to promote his/her students' mathematics understanding, he/she should pay attention to the students so that the students' thinking is in active situation. In the first part of this paper, some mathematics teachers' ideas about paying attention to their students in Chinese high school are given by questionnaire and interview. In the second part of this paper, we give some teaching episodes about how experienced mathematics teachers promote their students' mathematics understanding based on paying attention on them.

• Education of Primary School Mathematics
• /
• v.5 no.2
• /
• pp.71-94
• /
• 2001

The purposes of this study were to design small group collaborative learning models for developing the creativity and to analyze the effects on applying the models in mathematics teaching and loaming. The meaning of open education in mathematics learning, the relation of creativity and inquiry learning, the relation of small group collaborative learning and creativity, and the relation of assessment and creativity were reviewed. And to investigate the relation small group collaborative learning and creativity, we developed three types of small group collaborative learning model- inquiry model, situation model, tradition model, and then conducted in elementary school and middle school. As a conclusion, this study suggested; (1) Small group collaborative learning can be conducted when the teacher understands the small group collaborative learning practice in the mathematics classroom and have desirable belief about mathematics instruction. (2) Students' mathematical anxiety can be reduced and students' involvement in mathematics learning can be facilitated, when mathematical tasks are provided through inquiry model and situation model. (3) Students' mathematical creativity can be enhanced when the teacher make classroom culture that students' thinking is valued and teacher's authority is reduced. (4) To develop students' mathematical creativity, the interaction between students in small group should be encouraged, and assessment of creativity development should be conduced systematically and continuously.