• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.101-123
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• 1998

The purpose of this study is to construct the "open" instructional model that might be used properly in mathematics classroom. In this study, the core philosophy of "openness" in mathematics instruction is looked upon as the transference itself from pursuing simply strengthening the function of instruction such as effectiveness in the management of educational environment into the understanding of the nature of mathematics learning and the pursuing of true effectiveness in mathematics learning. It means, in other words, this study is going to accept the "openness" as functional readiness to open all the possibility among the conditions of educational environment for the purpose of realizing maximum learning effectiveness. With considering these concepts, this study regards open mathematics education as simply one section among the spectrum of mathematics education, thus could be included in the category of mathematics education. The model for open instruction in mathematics classroom, constructed in this study, has the following virtues: This model (1) suggests integrated view of open mathematics instruction that could adjust the individual and sporadic views recently constructed about open mathematics instruction; (2) could suggest structural approach for the construction of open mathematics instruction program; (3) could be used in other way as a method for evaluation open mathematics instruction program.thematics instruction program.

• The Mathematical Education
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• v.52 no.4
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• pp.465-481
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• 2013

In this study, 27 pre-service teachers presented virtual mathematics instruction to develop his/her own teaching practice ability. I found several attributes in their virtual mathematics instruction such as connecting contents, asking justification, encouraging students' communication, representing variously, and using ICT etc. These will be the characteristics of the future mathematics class. When peer pre-service teachers assess presenter's instruction quantitatively, there are differences in the results between expert and pre-service teachers. Pre-service teachers didn't find the elements of student self assessment or group assessment and communication activities at the virtual instruction. When they assess peers' virtual instruction qualitatively, the results are specific or new ones compared with the quantitative assessment elements. Thus I suggested some implications for the mathematics pre-service teachers' virtual instruction in the view of teacher education.

• East Asian mathematical journal
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• v.38 no.2
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• pp.215-240
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• 2022

In this study, we proposed a learning-centered DIY mathematics instruction for students to actively design instructions and developed important competencies. The research problems of this study were as follows. First, how did learning-centered DIY mathematics instruction affect math academic achievement? Second, how did learning-centered DIY mathematics instruction affect the affective domain? Third, what was the reaction of students to the implementation of the learning-centered DIY mathematics instruction? For this purpose, this study was conducted with 58 students in 2 classes of 2nd grade of 00 High School located in 00 Metropolitan City. As a result of the study, first, it could be seen that the study group that taught the learning-centered DIY mathematics instruction was very helpful in the change of mathematics academic achievement compared to the comparative group who taught the explanatory instruction based on traditional textbooks. Second, the research group showed a significant improvement in the affective domain compared to the comparison group. Third, the responses of the students in the research group through the learning-centered DIY mathematics instruction improved in a positive direction, and there were some negative responses.

• Journal of Educational Research in Mathematics
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• v.20 no.2
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• pp.121-143
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• 2010

In this article, I reviewed current state of researches about mathematics instruction in Korea and sought ways and methodologies of future research. I analyzed articles which were published after year 2000 and were targeted to mathematical instruction itself. After collecting articles, I classified them according to research subject, method and analysis framework, purpose and focus, research perspective and keyword. Subsequently, I analyzed tendency of each research and theoretical framework of them. Based on upper results, I drew directivity of mathematics instruction research at two aspects. First, I found and suggested elements with which framework of mathematics instruction analysis should equip. Secondly, I explored main tasks of mathematics instruction research.

• The Mathematical Education
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• v.51 no.2
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• pp.145-160
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• 2012

Prospective teachers need to have an opportunity to critically examine their initial perception with regard to effective mathematics instruction during the teacher education period. This study analyzed the perception in relation to good mathematics instruction by a total of 265 prospective teachers from four institutes for elementary teacher education using a survey. The results of this study showed that the pre-service teachers regarded learner, teaching and learning method, selection of content, and construction of curriculum as important for high-quality mathematics instruction. However, they revealed relatively low levels of agreement against the importance of instructional materials, classroom environment and atmosphere, and assessment. On the basis of teachers' perception on each element of effective mathematics instruction, this paper raises issues for discussion and includes some implications for teacher education.

• The Mathematical Education
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• v.56 no.2
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• pp.161-175
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• 2017

The purpose of this study is to compare and analyze the impact on low-achievers in mathematics who studied mathematics using Blended e-learning and Personalized system of instruction after school. Blended e-learning is defined as the management of e-learning using the e-study run by the education office in local. Personalized system of instruction was proceeded as follows; (1) all students are given a syllabicated learning task and a study guide, (2) students study the material autonomously according to their own pace for a certain period of time, (3) the teacher strengthens the students' motivation through grading and feedback after students study a subject and solve the evaluation problem. The learning materials for Personalized system of instruction are re-edited the offline education contents provided by the blended e-learning to the level of students. The 118 $7^{th}$ grade students from the D middle school participated in this study. The results were verified by achievement tests before and after the study, as well as survey regarding their attitude toward mathematics. The results are as follows. First, Blended e-learning has more positive impacts than Personalized system of instruction in mathematics achievement. Second, there was no difference in mathematics achievement according to their self-directed learning between Blended e-learning and Personalized system of instruction. Third, both types utilizing Blended e-learning and Personalized system of instruction have positive effect on attitude toward mathematics, and there is not their difference between two methods of teaching and learning mathematics.

• The Mathematical Education
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• v.52 no.4
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• pp.517-529
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• 2013

The purpose of this study is to investigate pre-service teachers' perceptions and their difficulties of mathematics instruction. Pre-service teachers have positive perceptions about teaching students and teaching profession through teaching practicum. In addition, they have perceived that teaching practicum can enhance teaching methods for their students. Especially, they suggested that cooperating teachers' instruction and mathematics teachers and their colleagues' classroom observation are important factors to improve their teaching methods. In other hands, they have difficulties in application of questions encouraging mathematical thinking, attention concentration considering students' interest and planning and performing for mathematics instruction class according to levels of students' study abilities. Based upon this study's findings, teacher education institutes should make efforts to alleviate difficulties in mathematics instruction through effective teaching practicum such as regular reflection activities for their classes, programs development associated with schools, pre-training and education programs for guidance teachers.

• Research in Mathematical Education
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• v.24 no.3
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• pp.229-254
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• 2021

Students' participation in epistemic practices, which are related to knowledge construction on the part of students, is becoming a crucial part of learning (Goizueta, 2019). Research on epistemic practices in science education draws attention to teachers' support of students to engage in epistemic practices in mathematics instruction. The research highlights a need for incorporating epistemic goals, along with conceptual and social goals, into instruction to promote students' epistemic practices. In this paper, I investigate how teachers interact with students to integrate epistemic goals. I examined 24 interaction excerpts that I identified from six interview transcripts of two beginning teachers' mathematics instruction. Each excerpt was related to the teachers' talk about their specific interaction(s) in a small group. I explored how each teacher's discursive moves and goals were conceptual, social, and epistemic-related as they intervened in small groups. I found that both teachers used conceptual, social, and epistemic discursive move but their discursive moves were related only to social and social goals. This paper suggests supporting teachers to develop epistemic goals in mathematics instruction, particularly in relation to small groups.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.381-403
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• 1998

As a researcher engaged in the mathematical education, mathematics teachers are interested in instructional methods. While it is unlikely that the viewpoints of individual mathematics teachers are reflected in making decisions on instructional purposes and instructional contents, a good many parts of instructional methods on mathematical facts are decided by individual teachers. This means that the role of mathematics teachers is given much weight in the mathematical education. Therefore, the mathematics teachers must not be excluded in all parts of the study of mathematical education. We studied the instructional methods of function concept, a central topic in school mathematics from the following perspectives. First, we examined the characteristics of the three(correspondence-centered, middle, dependence centered) viewpoints about the essence of function concept. And we should that which of them should be the viewpoint of instruction of function concept in school mathematics. Second, we investigated the questions regarding the process of function instruction in school mathematics and presented alternative instruction methods of function concept to solve the questions. Third, we postulated the importance of polynomial function, relating college mathematics in order to present the reason why the polynomial function is importantly treated in functional instruction of school mathematics.

• Education of Primary School Mathematics
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• v.19 no.3
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• pp.249-260
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• 2016

The purpose of this study was to analyze the effectiveness of an instruction to enhance students' questioning, that is 'mathematics instruction with students' question using question card' In order to achieve the goal of this study, research questions were established as follows. Is there any significant improvement on perception of mathematics classroom culture through 'mathematics instruction with students question using question card' Is there any significant improvement on mathematics learning attitude through 'mathematics instruction with students question using question card' The findings of this experimental results were obtained as follows. There was significant statistical difference in perception of mathematics classroom culture between the experimental group and control group. It also shown that instruction with students' questioning improved participants' mathematics learning attitude. In conclusion, the instruction with students' questioning using question card can be effective teaching strategy of improving students' perception of mathematics classroom culture and mathematics learning attitude.