• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.79-91
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• 1999

The aim of this study focused on student-centered learning not teacher-centered teaching in middle school math classes. This study was performed to check the growth of students' problem-solving abilities, learning attitudes and changes in learning motivation among affective characteristics. The results of this study is as followings: 1) The controlled group a heterogeneous group which had classes in a math room, had more meaningful growth than the uncontrolled group. The results of the study show that the problem-solving abilities of the high-leveled group were better than those of the low-leveled group. 2) The controlled group has shown meaningful difference in their mean in learning aptitude test and attitude test converted their score into 100 points than uncontrolled group, and various kinds of learning materials suitable for problem solving are proved as a good learning factor to induce students' motivation and interest. 3) Students prefer to have classes in a math room to the small-sized and large-numbered classrooms. The atmosphere in a math room is more suitable to improving their problem-solving abilities. In this context, the classes performed in a math room are fairly positive. Consequently, students' leveled learning activities performed in a math room can get their learning motivation and attention from those who are lack of interest and think math is difficult and be effective to increase their problem-solving abilities as a learning method for acquiring the whole course of solving the problems.

• The Mathematical Education
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• v.62 no.4
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• pp.531-549
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• 2023

Despite the significance of mathematics teacher guidebooks as a support for teacher learning, there are few studies that address how elementary mathematics teacher guidebooks support teacher learning. The purpose of this study was to analyze the educative features of elementary mathematics teacher guidebooks for grades 3 and 4. For this, six units from each of ten kinds of teacher guidebooks were analyzed in terms of seven dimensions of Teacher Learning Opportunities in Korean Mathematics Curriculum Materials (TLO-KMath). The results of this study showed that mathematics content knowledge for teaching was richly provided and well organized. Teacher guidebooks provided teacher knowledge to anticipate and understand student errors and misconceptions, but were not enough. Sample dialogues between a teacher and students were offered in the teacher guidebooks, making it easier for teachers to identify the overall lesson flow and key points of classroom discourse. Formative assessment was emphasized in the teacher guidebooks, including lesson-specific student responses and their concomitant feedback examples per main activity. Supplementary activities and worksheets were provided, but it lacked rationales for differentiated instruction in mathematics. Teacher knowledge of manipulative materials and technology use in mathematics was provided only in specific units and was generally insufficient. Teacher knowledge in building a mathematical community was mainly provided in terms of mathematical competency, mathematical classroom culture, and motivation. This paper finally presented implications for improving teacher guidebooks to actively support teacher learning.

• Journal of the Korean School Mathematics Society
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• v.20 no.3
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• pp.255-275
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• 2017

Educating for character was emphasized in 2015 & 2009 reformed Korea natio nal mathematics curriculum. Thus, in this study we basically conducted to reali ze the creativity and character education. The purpose of this study is to succe ssfully lectures in the 'Mathematics Curriculum and Textbook Research' subject that is mathematics education department's major subject in teacher college, and to analyze the results. For the purpose of this study, the following study was carried out. First, we develop a lesson plan, teaching and learning plan, learning materials based on cr eativity and personality. Second, we taught a class based on the creativity and personality. Third, we analyze the effectiveness of the teaching efficacy about p re-service math teacher. Fourth, we conducted a qualitative analysis of the 'Mat hematics Curriculum and Textbook Research' subject lessons through the Classe s observer.

• Journal of the Korean School Mathematics Society
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• v.10 no.2
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• pp.149-171
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• 2007

This study is aimed at development of pedagogical content knowledge on fraction in the elementary school mathematics. Elementary students regard fraction as the difficult topic in school mathematics. Furthermore, fraction is the fundamentally important concept in studying mathematics. So it is important to develop the pedagogical content knowledge on fraction. The reason of attention to the pedagogical content knowledge is that improving the quality of teaching is the central focus of a high quality mathematics education. Shulman suggested that various knowledges are required for teacher to improve their classes. Of course, pedagogical content knowledge is the most valuable in teaching mathematics. Pedagogical content knowledge is related to the promotion of students' understanding about the learning. Pedagogical content knowledges are categorized by five factors in this study. These are understanding about curriculum, understanding about students and students' knowledge, understanding about teachers and teachers' knowledge, understanding about the methods, contents, and management of class, and understanding about methods of assessments. I develop the pedagogical content knowledge on fraction according to the these categories. I concentrate on the two types of pedagogical content knowledges in developing. That is, I present knowledges which teachers have to know for teaching fraction effectively and materials which teachers can use during the teaching fraction. Pedagogical content knowledges guarantee teachers as the professionalists. Teachers should not teach only content knowledges but teach various knowledges including the meta-knowledges which have relation to fraction.

• East Asian mathematical journal
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• v.25 no.3
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• pp.321-341
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• 2009

The purpose of this study was to examine the effect of the manipulative materials in the Australian Maths 300 program by applying it to Korean Elementary Mathematics Education - based on parts of 'Probability and Statistics', and 'Symbol and Expression'. In order to this purpose, we select appropriate Maths 300's manipulate materials that could be used to obtain learning objectives within class time for each part, four lessons with the materials were taught at to third, fourth, and fifth grade students of elementary School. The effect of the teaching was analyzed by videotape and student opinion. The results of this study are the following: First, the manipulative tools were almost entirely lacking for the 'Probability and Statistics' section without a 'number of cases' unit. The tools presented in the 'Symbol and Expression' section were helpful in the games that were used for checking preceding learning. Second, the results of using the Math 300 manipulative materials in class showed that the students were eager to be involved in the activities using those materials and to find their own solutions in problem-solving questions that were suited to them; these led to them making their own questions. In response to questioning about the use of the manipulative materials, the students stated that it was easy and fun for them to use the manipulative materials, to solve the problems for themselves, and that they would like to continue practicing the activities in the future. Finally, Studies on the presentation of a variety of manipulative materials including those in this study that can used in problem-solving learning and other learning fields, and the methodology for the use of manipulative materials can be enhanced through further studies.

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.101-115
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• 2017

This study was to analyze motivations in the mathematics lessons from the perspectives of preservice elementary school teachers. The participants were three groups of 62 preservice elementary teachers who were sophomore or junior students in Seoul city in Korea. Two groups of the students were enrolled at teaching and learning mathematics courses, whereas one group of students were at mathematics problem solving course. They were randomly assigned to elementary schools for their student teaching. They were required to observe mathematics lessons focusing on motivations during their participating at the two-week student teaching period. The preservice teachers were asked to observe and submit the reports of the observation in the mathematics lesson. The researcher suggested a guideline of observation and analyzed the reports according to the categories those were suggested in the guideline. The results of the analysis on the reports are summarized as follows. First, the preservice elementary school teachers considered the purpose of motivations as attracting students' interest. Second, the major ratio of motivations were attracting students' attention in the mathematics lessons. Third, the duration average time was 5 minutes 50 seconds and only limited materials for the motivations. At last, most mathematics lessons need to stimulate students' curiosity that fits to the objectives of the lessons. The researcher suggests that we need to develop various motivations in mathematics lessons with which teachers should subtlely connected to the objectives of the lessons.

• Communications of Mathematical Education
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• v.24 no.1
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• pp.259-282
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• 2010

In this paper, we introduce a modified Moore Method designed for the multivariable calculus course, and discuss about the effective teaching and learning method by observing the changes in the understanding of students' learning and the effects on students' learning in the class implemented by this modified Moore Method. This teaching experiment research was conducted with the 15 students who took the multivariable calculus course offered as a 3 week summer session in 2008 at H University. To guide the students' active preparation, stepwise course materials structured in the form of questions on the important mathematical notions were provided to the students in advance. We observed the process of the students' small-group collaborative learning activities and their presentations in the class, and analysed the students' class journals collected at the end of every lecture and the survey carried out at the end of the course. The analysis of these results show that the students have come to recognize that a deeper understanding of the subjects are possible through their active process of search and discovery, and the discussion among the peers and teaching each other allowed a variety of learning experiences and reflective thinking.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.313-334
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• 2022

The purpose of this study is to analyze the changes in mathematical learning through applying STEAM education according to social needs for out-of-school youth. For this purpose, we developed a teaching and learning model and program for mathematics and music STEAM education, and we implemented and analyzed the changes of affective area and problem-solving strategies. The analysis results of characteristic in affective area are as follows: first, the activity-oriented class of mathematics and music STEAM education aroused interest in mathematics. Second, providing opportunities for mathematics and music STEAM education instilled a positive perception of the value of mathematics and STEAM education. Third, the autonomous communication-oriented learning environment of mathematics and music STEAM education improved confidence and motivation to learn in mathematics. The analysis results of the characteristic in problem-solving strategy are as follows: first, through the STEAM education with mathematics and music, a conceptual understanding of internally and externally dividing points was formed, and a given problem was expressed and solved in a formula. Second, the functional correspondence relationship was understood, and the given problem was described and solved with symbols associated with the function. The suggestions of the study are as follows: first, based on the teaching and learning model and results of this study, various STEAM education programs for out-of-school youth should be developed and expanded to foster future competencies and provide new changes for out-of-school youth. Second, it can be used for research on the development of teaching and learning materials for convergence elective subjects in the high school credit system by referring to the mathematics and music convergence STEAM program of this study. As the subjects and fields of STEAM education are diversified and organized, students in need of receiving educational opportunities will be reduced, and there will be a world where the name of out-of-school youth and alternative education will not be necessary. Therefore, it is expected that development of teaching and learning programs created by interest in education of out-of-school youth will be used as an innovative idea in school education to achieve a virtuous cycle.

• Communications of Mathematical Education
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• v.28 no.1
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• pp.81-96
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• 2014

Now, most of programs developed were presented as form of item pool by dividing problems by section and level for the level differentiated course, so the utilization is decreasing at the field caused by unconsidered school underachievement elements by achievement. Especially, the study on teaching materials and effective measures map for mid-low level students with low utilization is more urgent. Therefore, in this study we will promote teaching method for improving learning achievement at high school. The development teaching materials(the performance evaluation and diagnostic assessment, reconstruction of textbooks) will be applied to classes for the underachieving students directly, and the achievement in the experimental class was significantly improved compared to the comparative class and the meaningful conclusions could be drawn as results of conducting same assessment based on the experimental class and the comparative class.

• Journal of the Korean School Mathematics Society
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• v.15 no.4
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• pp.605-625
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• 2012

This study examined how 132 teachers of different grade levels incorporate the key competencies identified by Korea Institute for Curriculum and Evaluation into their mathematics teaching and how they perceive of its full potential of the competency-based learning and teaching in mathematics classroom. Survey and semi-structured interview methods were used to collect data for the study. It was found that in their instruction teachers emphasized competencies such as problem-solving, literacy, creativity, communication and information-processing skills in order. Inter-personal skills, self-management, citizenship, global understanding and career-development appeared to be challenging competencies for teachers to reflect in their instruction with the reasons such as no direct connections to mathematics and insufficient instruction. Findings of the study suggest that various instructional methods, development and dissemination of related curricula materials, change of evaluation method, and change teachers' perceptions may be needed for incorporating KICE's key competencies in K-12 mathematics education.