• The Mathematical Education
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• v.53 no.3
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• pp.399-412
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• 2014

The purpose of this article is to suggest using cooperative microteaching in pre-service mathematics teachers education based on their perceptions of it after actual application case. The background of this study is that cooperative learning came into the highlight as a good method to cultivate teachers' competencies for creativity and character education as well as students' creativity and character in the mathematics classroom. 20 pre-service mathematics teachers participated in their cooperative microteaching and 16 of them responded to the survey. The collected data showed that the merits of cooperative microteaching are to ease the burden of preparing for class, to discuss how to teach mathematics, to debate what lesson is better, to receive valuable feedback form their peer, and so on. Also, it provided them with the chance for self-improvement in that they kept to make up for the week points in their teaching behavior. Meanwhile, they wanted longer time to experience their teaching and their own lesson.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.353-371
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• 2013

The purpose of this study is to investigate preservice secondary teachers' understanding and modification capacity of tasks from mathematics textbooks. This study conducted a survey about how preservice teachers understand the features of mathematical tasks and how they would select and modify tasks appropriately from the curriculum and for lesson goals. The findings from the analysis suggest that the preservice teachers seem to recognize Procedures Without Connections tasks as the high-level tasks. Further, 43 percent of the total numbers appropriately selected the tasks from the curriculum and for lesson goals. Most of the preservice teachers appear to find it difficult to modify low-level tasks into high-level tasks.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.109-121
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• 1997

A lot of educators claim that the open education should be performed in elementary classroom, but it is true that they do not suggest the specific direction of practicing open education in case of mathematics subject. Although a project lesson is recommended, there is little case that suggests the direction of practice and the evaluation method of project lesson. Therefore this study searchs for the possibility of practicing open education in elementary mathematics classroom by reviewing the portfolio assessment and suggesting the specific case of applying the portfolio assessment to project lesson. A portfolio is a folder in which is recording solution process, student's self reflection, and teacher's comment, about topics and problems more than one. Students can see their own varying aspects and recognize their own merits and demerits, sincerities, and potentialities by portfolio assessment. Futheremore, teacher can both grasp the student's cognitive situation and give them the professional advice about the cognitive development. That is, they can perform the instruction underlining the learner's ability and personality, by identifying what Vygotsky calls 'the proximal zone of development' through portfolio assessment. Consequently, portfolio assessment is an alternative evaluation method for integrating process and product of learning, and can be used as an important tool for developing the learner's potential possibility of self-realization.

• Journal of Science Education
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• v.38 no.1
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• pp.78-95
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• 2014

Students' interest and motivation of a lesson can be deeply influenced by how their teacher starts his or her lesson. So the introduction part of math classes should be very carefully and thoughtfully designed. The goal of this study is to serve the foundation for developing the practical types of introduction part of math classes and to draw the implications for planning and teaching math classes. For these, 19 lesson plans titled by 'volume of cylinders' composed by elementary teachers and 2 lesson videos on the internet are analyzed. Finally, seven types of introduction parts of math class are probed and several implications are suggested.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.301-319
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• 2013

This study is to explore the directions for developing the lesson assessment of the math textbook in elementary school level, which is to embody the recent trends of math assessment and the emphases about assessment given in the revised 2009 math curriculum. To this end, we examined the recent trends of math assessment and the assessment framework of RME (Realistic Math Education) as the theoretical backgrounds. Also we analytically looked at the math-assessment emphases given in the revised 2009 math curriculum, and tried to establish the directions for developing the lesson assessment of the math textbook on the basis of the preceding studies. In addition to, we gave the math items in line with the established directions about lesson assessment. Finally we suggested the issues in relation with the math assessment in the elementary school level.

• Journal of the Korean School Mathematics Society
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• v.17 no.1
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• pp.123-137
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• 2014

In this paper, the format of the Korean 2011 & the Japan 2008 elementary school mathematics curriculum are compared especially centered on elements, areas, objectives, and lesson time numbers. Through this comparison, suggestions can be obtained as follows. First, grade-group system which does not meet the actual elementary mathematics education needs to be reconsidered. Second, the area name 'number and operation' needs to be reduced into the area name 'number and calculation'. Third, using the area name 'pattern' needs to be reconsidered. Fourth, using the area name 'probability' needs to be reconsidered. If 'possibility' which some event occurs is seen as ratio, it can be contained area 'quantity relationship'. Fifth, containing the nature of mathematics into the school mathematics objectives needs to be reconsidered. Sixth, it is necessary to enhance the phase of mathematics in elementary education.

• School Mathematics
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• v.16 no.3
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• pp.585-611
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• 2014

The purpose of this study is to understand the decision-making behavior of a mathematics teacher in science academy of Korea by applying the framework of class analysis through the theory of goal-oriented decision-making. To this end, we selected as the participant a mathematics teacher in charge of the class of basic calculus of science high school for the gifted in the metropolitan area, and observed the teacher's lesson. Based on a questionnaire derived from previous studies, we analyzed goals, orientations and resources of the teacher. Research results show that there are certain teaching routines by analyzing the behavior patterns that appear repeatedly in the teacher's lesson. Also we understand that it can be used on goals, orientations and resources of the teacher to adequately explain his teaching routine. In the present study, in particular, it was found to have a similar but partially different routines to the teaching routines shown in the study of Schoenfeld. From these findings, We can derive the implications that the theory of goal-oriented decision making can be suitably used as analytical tool for understanding the behavior of the teacher who pursue a productive interaction in mathematics lesson in Korea.

• Education of Primary School Mathematics
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• v.12 no.1
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• pp.39-55
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• 2009

For this study, the 'Game Activities' lessons presented in the math textbooks from the 1st grade to the 6th were examined in terms of learning materials, the learning members' make-up, the playing structures, and the relation with the contents. In addition, the survey by means of questionnaires was conducted to analyze the actual condition of teachers' guidance in the field. The findings from this research were as follows: First, as for the activities presented in the textbooks, it turned out that too much emphasis is placed upon plays mainly using learning materials such as cards and dice played by teams of two. In addition, there have been shown negative aspects in various ways of plays putting too much emphasis on certain types of plays such as and structures. As for the relation with the contents, although lots of efforts were taken to connect the playing activity to the lesson contents, there were units presenting plays based on the preceding lesson's repeated activity, ones that have weak link with the contents. Second, it turned out that the teachers had negative attitude on the guidance using the 'Game Activities' lesson, although they were aware of the effects of playing in math learning. This seemed to result from the delicate variety and insufficient preparation for the play. Besides, the findings indicate that the appreciation and activity of the 'Game Activities' lesson presented as a way of performance evaluation. for play need to be provided in school or classrooms for teachers and students to make good use of them.

• The Mathematical Education
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• v.63 no.3
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• pp.527-547
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• 2024

It is difficult for mathematics teachers to develop mathematical modeling tasks and implement mathematical modeling lessons for their students. These difficulties serve as a reason why mathematical modeling lessons are not implemented well in school mathematics. In this study, we aimed to examine how preservice mathematics teachers (PMTs) modify mathematical modeling tasks in mathematics textbooks as a way to develop mathematical modeling tasks and how they implement the mathematical modeling lesson. In particular, we focused on how the openness and reality reflected in the task and the mathematical modeling process change as PMTs modify the tasks. We collected data through PMTs' evaluation reports on analyzing textbook tasks, task modification, lesson plans and implementations, peer evaluation, and self-evaluation. Then, we analyzed these data according to the case analysis process. The findings revealed that when PMTs modified the textbook task, they focused on and improved the openness and the defining variables and the model stages of mathematical modeling process. However, when PMTs implemented lesson, the openness and the defining variables and the model stages of mathematical modeling process were restricted again. PMTs did not focus on other stages. Based on these results, the theoretical and practical implications of the study was discussed.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.371-393
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• 2012

There have been many studies about education in private institute, yet the researches on mathematics lessons in private institute have not been conducted enough. The purpose of this study is to analyze mathematics private lessons and obtain some implications to improve mathematics lessons in public education. First, a variety of mathematics private lessons were reviewed, and then three prevalent private lesson types were selected in each school level. Then, the nine lessons were observed and recorded, and characteristics were summarized. Later, analyzing frame with two axes (curriculum and communication) was developed, and nine lessons were located in the quadrant. As a conclusion, the weakness and strengths of mathematics private lessons were discussed along with implication to mathematics lessons in public education.