A Study on the perceptions of teachers and students on the implementation of the intensive course completion system in mathematics courses
한혜숙 Hye Sook Han , 홍인숙 In Suk Hong , 이순용 Soon Yong Lee , 유기종 Gi Jong Yoo , 김지연 Ji Yeon Kim
51(4) 317334, 2012
한혜숙 Hye Sook Han , 홍인숙 In Suk Hong , 이순용 Soon Yong Lee , 유기종 Gi Jong Yoo , 김지연 Ji Yeon Kim
DOI: JANT Vol.51(No.4) 317334, 2012
The purposes of this study were to investigate the perceptions of teachers and students on the implementation of the intensive course completion system in mathematics courses and to provide suggestions for the improvement of the system. Five high school mathematics teachers and 338 10th graders and 87 11th graders in 2 high schools located in Gyeonggido participated in this study. The results of this study indicated that the intensive course completion system is more appropriate to the subjects which require less time allotment or practical exercise than mathematics courses. For better implementation of the intensive course completion system in mathematics courses, first of all, enough time allotment for teaching and learning mathematics should be guaranteed. Otherwise, the system can make students feel more burden of learning due to increase in learning volume of mathematics courses.

Prospective Elementary School Teachers` Perception on mathematical Creativity
이혜숙 Hei Sook Lee , 민선희 Sun Hee Min , 김민경 Min Kyeong Kim
51(4) 337349, 2012
이혜숙 Hei Sook Lee , 민선희 Sun Hee Min , 김민경 Min Kyeong Kim
DOI: JANT Vol.51(No.4) 337349, 2012
The purpose of this study is to survey and analyze conception on creativity carried out from elementary school teachers in Seoul and Gyeonggido area. As results, first, most of teachers replied divergent thinking, creative problem solving, and new creation as general creativity and mathematical creativity. Secondly, they showed that thinking process would be related to transfer and cognition in terms of mathematical creativity factors. Lastly, there are significant differences among groups according to gender, teaching career, and age, even though most teachers expressed sympathy for need of creativity education in mathematics education.

A Case study on the Effects of Mathematically Gifted Creative Problem Solving Model in Mathematics Learnings for Ordinary students
김수경 Su Kyung Kim , 김은진 Eun Jin Kim , 권혁진 Hyuk Jin Kwean , 한혜숙 Hye Sook Han
51(4) 351375, 2012
김수경 Su Kyung Kim , 김은진 Eun Jin Kim , 권혁진 Hyuk Jin Kwean , 한혜숙 Hye Sook Han
DOI: JANT Vol.51(No.4) 351375, 2012
This research is a case study of the change of students`s problem solving ability and affective characteristics when we apply to general students MGCPS model which is creative problem solving model for gifted students. MGCPS model which was developed by Kim and Lee(2008) is a problem solving model with 7steps. For this study, we selected 7 first grade students from girl`s high school in Seoul. They consisted of three high level students, two middle level students, and two low level students and then we applied MGCPS model to these 7 students for 5 weeks. From the study results, we found that most students`s describing ability in problem understanding and problem solving process were improved. Also we observed that high level students had improvements in overall problem solving ability, middle level students in problem understanding ability and guideline planning ability, and that low level students had improvements in the problem understanding ability. In affective characteristics, there were no significant changes in high and middle level classes but in low level class students showed some progress in all 6 factors of affective characteristics. In particular, we knew that the cause of such positive changes comes from the effects of information collection step and presenting step of MGCPS model.

A study on the completeness of “the understanding” in the generalization process and justification centered on the arithmetical, geometric and harmonic average
김창수 Chang Su Kim
51(4) 377393, 2012
김창수 Chang Su Kim
DOI: JANT Vol.51(No.4) 377393, 2012
The understanding demands the different degree of the understanding according to student`s learning situation. In this paper, we investigate what is the foundation for the complete understanding for the generalization in the generalizationprocess and justification of some concepts or some theories, through a case. We discovered that the completeness of the understanding in the generalizationprocess and justification requires ``the meaningfulmental object`` which can give the meaning about the concept or theory to students. Students can do the generalizationprocess through the construction of ``the meaningfulmental object`` and confirm the validity of generalization through ``the meaningfulmental object`` which is constructed by them. And we can judge the whether students construct the completeness of the understanding or not, by ``the meaningfulmental object`` of the student. Hence ``the meaningfulmental object`` are vital condition for the generalizationprocess and justification.

Analysis of Item Contents of 2010, 2011 National Assessment of Educational Achievement at elementary school for deduction of suggestions to the mathematics teachinglearning
조윤동 Yun Dong Jo , 고호경 Ho Kyoung Ko
51(4) 395413, 2012
조윤동 Yun Dong Jo , 고호경 Ho Kyoung Ko
DOI: JANT Vol.51(No.4) 395413, 2012
National Assessment of Educational Achievement(NAEA) is important standard reference to become the basic data for confirming the effect of the curriculum administrated and the educational policies put in force presently and preparing the new curriculum and educational policies. In this paper, we looked into the mean and standard deviation of the calibrated score of whole group and male/female students, the correct answer ratio of each performance level and the correct answer ratio of each content domain, etc. in the results of NAEA at 6th elementary school. The analytic objects are 2010 and 2011 NAEA that are changed into complete enumeration survey and the standard reference prepared on the basis of the new calibrated score is applied to. And we analysed and compared correct answer ratio of the each content domain and each item to conform the difference between male and female students. On the basis of the these informations, we investigated that here is what kind of characteristics and trends to the whole group and what kind of suggestions to the teachinglearning. And we were going to provide the information of the needs to understand which content of mathematics is needed and which thinking methods are needed.

A Study on Utilization Frequency by Beginning Secondary Mathematics Teachers` Perception of Computer Utilization
이강섭 Kang Sup Lee , 심상길 Sang Kil Shim
51(4) 415427, 2012
이강섭 Kang Sup Lee , 심상길 Sang Kil Shim
DOI: JANT Vol.51(No.4) 415427, 2012
This study investigated the perception and utilization about computer of beginning secondary mathematics teachers by utilization frequency of computer. To increase utilization frequency of computer in school mathematics, our finding shows that beginning secondary mathematics teachers should have an interest in computer utilization and perceive computers as an important tool for mathematics learning. In addition, they are likely to use more frequently computer under the condition that computers have sufficient class materials and supplement their shortcomings that have derived less usage in math classes. Therefore, future studies have to investigate not only how to develope textbooks and run afterschool classes but also how to make creative discretional activities by computer, which makes computers more useful for teacher training. In sum, the results of case studies for computer usability should be released to motivate computer utilization and increase mathematical thinking ability.

A Study on the Choice of Models for Teaching the Principle of Arithmetic Operations of Integers in the Middle School Mathematics Class
김익표 Ik Pyo Kim , 정은희 Eun Hee Jung
51(4) 429453, 2012
김익표 Ik Pyo Kim , 정은희 Eun Hee Jung
DOI: JANT Vol.51(No.4) 429453, 2012
The purpose of the study were to analyze teaching models of arithmetic operations of integers in Korean middle school mathematics textbooks of the first grade and Americans`, from which we compare and analyze standards for choice of models of middle school teachers and preservice mathematics teachers. We also analyze the effect of the choice of teaching models for students to understand and appreciate number systems as a coherent body of knowledge. On the basis of that, we would like to find the best model to help students understand and reason the process of formulate the arithmetic operations of natural numbers and integers into the operation of the real number system. Furthermore, we help these series of the study to be applied effectively in the middle school mathematics class in Korea.

An Analysis of the Objects and Methods of Mathematical Connections in Elementary Mathematics Instruction
김유경 Yu Kyung Kim , 방정숙 Jeong Suk Pang
51(4) 455469, 2012
김유경 Yu Kyung Kim , 방정숙 Jeong Suk Pang
DOI: JANT Vol.51(No.4) 455469, 2012
Given the importance of mathematical connections in instruction, this paper analyzed the objects and the methods of mathematical connections according to the lesson flow featured in 20 elementary lessons selected as effective instructional methods by local educational offices in Korea. Mathematical connections tended to occur mainly in the introduction, the first activity, and the sumup period of each lesson. The connection between mathematical concept and procedure was the most popular followed by the connection between concept and reallife context. The most prevalent method of mathematical connections was through communication, specifically the communication between the teacher and students, followed by representation. Overall it seems that the objects and the methods of mathematical connections were diverse and prevalent, but the detailed analysis of such cases showed the lack of meaningful connection. These results urge us to investigate reasons behind these seemingly good features but notenough connections, and to suggest implications for wellconnected mathematics teaching.

A Approaches to the Problem in connection with the Circle in Point of View of the Angle and Arc
강정기 Jeong Gi Kang
51(4) 471484, 2012
강정기 Jeong Gi Kang
DOI: JANT Vol.51(No.4) 471484, 2012
It is not easy to find the auxiliary line to solve the problem in connection with the circle, where it is the problem finding the central angle or angle at the circumference in a circle. The purpose of the study is to give an aid for this difficulties. The angle at the circumference is closely related to the arc. And so we looked into the problem in connection with the angle at the circumference in point of view of the arc. We have got the following the results. It is not necessary to draw the auxiliary line when solving the problem in connection with the angle at the circumference in point of view of the arc. And we can find the reason to draw the specific auxiliary in point of view of the arc. We hope that the results of research are given aids to a lot of students.
