• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.425-457
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• 2006

The purpose of this paper was to analyze a teacher's questioning in the learner-centered mathematics lessons and investigate its effects on the construction of learner's knowledge. For this study, it is analysed that the teacher's questioning in the 3 observed learner-centered lessons concerning elementary division topic. The study results showed that the characteristics of the teacher's questioning were respecting of learner's informal mathematical thinking, open-ended questioning for divergent thinking, appropriate questioning at every group, and respecting classroom norm. Teacher's questioning affects the quality of learner's mathematical thinking and his or her attitude toward mathematics.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.575-595
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• 2006

In this paper, we investigated the effects of mathematics classes using play-action programs in the course of mathematics education of future elementary school teachers. This study was conducted with 43 junior university students who selected 'Play Mathematics' in 2006. All the participants in this course was divided 11 groups. Play-action mathematics programs was consisted of 12 themes. For example, there was tangram, somacube, hexamino, tessellation, geoboard etc. In the beginning of lessons, we investigated theses themes itself through plays, puzzles, games, and computer programs. And next time, we investigated the relationships between these themes and elementary mathematic textbooks(i.e. mathematical contents). In 14th and 15th lessons, all the groups took a project presentation lessons that included all things about play mathematics in all group categories. And they developed two themes of play mathematics in accordance with grades, contents, levels as course tasks. Through this study, three educational effects induced. First, future elementary school teachers have a deep understanding about play-action mathematics. They are interested in these play themes, and take part in these play mathematics programs of their own accord. And they realize that these play themes are related to elementary mathematics. Second, future elementary school teachers' attitude and mind about mathematical are improved after this course. Third, future elementary school teachers comprehend various instruction methods relating to play mathematics. Therefore, we suggest that future elementary school teachers need to have many opportunity to experience and develop a mathematics classes using play mathematics.

• Research in Mathematical Education
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• v.3 no.1
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• pp.1-8
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• 1999

The present study extends previous research in this area by investigating perceptions of change and reactions to reform efforts by pre-service and practicing secondary school mathematics teachers in the People's Republic of China (PRC) and the United States of America. Interviews were used to gather data about school experiences, teaching practices, and planned changes in mathematics programs. Analysis of the interview data supported earlier findings with respect to the well-planned nature of lessons by PRC teachers and the influence of mathematics contents and examination systems in the PRC. Findings also indicated a general agreement among teachers from both countries favoring less lecturing and more discussion and interactive activities. There were contrasts by nationality in descriptions of future teaching, ideal lessons, sources of teaching ideas, and preferences about school mathematics programs.

• Education of Primary School Mathematics
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• v.10 no.2
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• pp.111-123
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• 2007

The purpose of this study was to examine contents and activities of patterns and functions in the 7th national curriculum for elementary school mathematics and textbooks developed based on it. Through examination, several conclusions were drawn as follow. First, pattern need to be introduced as a way of doing mathematics not as a subject of mathematics. Finding patterns is one of the most important mean to do mathematics. Second, activities for patterns and functions must be organized coherently. Coherent means that mathematical ideas are linked to and build on one another so that students' understanding and knowledge deepens and their ability to apply mathematics expands. Third, independent lessons for patterns and functions are needed. In these lessons, various activities need finding patterns can be introduced to help students understand mathematics. Fourth, the linkage between patterns and functions should be strengthened.

• The Mathematical Education
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• v.62 no.1
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• pp.57-78
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• 2023

Students' engagement in lessons not only determines the direction and result of the lessons, but also affects academic achievement and continuity of follow-up learning. In order to provide implications related to teaching strategies for encouraging students' engagement in elementary mathematics lessons, this study implemented lessons for middle-low achieving fifth graders using open-ended tasks and analyzed characteristics of students' engagement in the light of the framework descripors developed based on previous research. As a result of the analysis, the students showed behavioral engagement in voluntarily answering teacher's questions or enduring difficulties and performing tasks until the end, emotional engagement in actively expressing their pleasure by clapping, standing up and the feelings with regard to the topics of lessons and the tasks, cognitive engagement in using real-life examples or their prior knowledge to solve the tasks, and social engagement in helping friends, telling their ideas to others and asking for friends' opinions to create collaborative ideas. This result suggested that lessons using open-ended tasks could encourage elementary students' engagement. In addition, this research presented the potential significance of teacher's support and positive feedback to students' responses, teaching methods of group activities and discussions, strategies of presenting tasks such as the board game while implementing the lessons using open-ended tasks.

• The Mathematical Education
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• v.45 no.1 s.112
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• pp.75-96
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• 2006

The purpose of this study was to analyze how elementary pre-service teachers learned the pedagogical content knowledge of mathematics and to understand the challenges and difficulties that they experienced in the course of student teaching. A qualitative case study provided an in-depth description of the whole three weeks of student teaching process. Four pre-service teachers and two mentor teachers participated in this study. Multiple data collection techniques were used; classroom observations, in-depth interviews, document analysis, and researcher's field notes. The results of this study showed how pre-service teachers learn PCK of mathematics in designing mathematics lessons, understanding mathematics learners and delivering mathematics lessons and what are the difficulties and challenges they experienced. Finally this study discussed about some suggestions to pre-service program and future research.

• Journal of the Korean School Mathematics Society
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• v.19 no.3
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• pp.309-328
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• 2016

In this study we aimed to find out if a mathematics lesson with Jigsaw model can help to change such negative mathematical affective characteristic to a positive one. The results of the study were as in the following. First, the mathematics lessons applied Jigsaw model can help to inspire curiosity and motivation of students. During the lessons, communication among students was vitalized. Such communication inspired learner's curiosity and learning motivation. The expert group and home group activities in the Jigsaw model made the learner's question-answering activities more instantaneous and frequent. Second, the mathematics lessons applied Jigsaw model can help students to become aware of the value of mathematical concepts and formula.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.259-281
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• 2016

Teaching practicum plays a significant role in teacher education program because it provides pre-service teachers with an opportunity to apply what they have learned to the actual teaching contexts. As such, it needs to be conducted in terms of close collaboration between university and school. Given that, in a mathematics methods course the prospective teachers in this study had an opportunity to discuss mathematics lessons they had implemented during their teaching practicum. This paper analyzed in what ways prospective teachers' comments on elementary mathematics instruction were changed through this experience. The results of this study showed that in late comment the teachers tended to focus more on mathematical discourse, consider not only the teacher of the lesson but also students, and suggest alternative approaches on the classroom events they had noticed. It is noticeable that the results analyzed by researchers were consistent with prospective teachers' self-assessment. Building on these results, this paper provides implications of teacher preparation programs to enhance prospective teachers' ability to analyze elementary mathematics lessons.

• East Asian mathematical journal
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• v.28 no.4
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• pp.435-451
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• 2012

In this paper, we carry out personal lessons in order to improve the problem-solving abilities of students who have a low level of university general mathematics, and find the efficient teaching method of the personal lessons by analyzing the mathematic achievement of the participating students.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.3
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• pp.403-426
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• 2012

This paper analyzed 20 teaching practices of elementary mathematics lessons which were recognized as effective instruction by the local educational offices throughout Korea, using an analytic framework with 4 main domains (i.e., curriculum and content, teaching and learning, classroom environment and atmosphere, and assessment) and a total of 44 sub-elements. The results of this study showed that the lessons focused on the key mathematics concepts according to the national mathematics curriculum and learning objectives, managed students in terms of shared rules within each classroom, and evaluated students' understanding of the concepts at the end of the lesson. However, the lessons did not foster students' calculation skills and only partly used either technology or game. Building on the related studies, this paper included implications of implementing high-quality mathematics instruction.