• Journal of Educational Research in Mathematics
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• v.13 no.3
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• pp.329-349
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• 2003

Mathematics education is accomplished by systems such as mathematical curriculum and tools such as a textbook which reflects such systems. Human beings make such systems and tools. Therefore, a viewpoint of mathematics of those who make them is an important factor. The view point of mathematics is formed during doing and learning mathematics, but the already formed viewpoint of mathematics affects doing and teaching mathematics. Hence, it will be a factor which affects basically that those who employ themselves on mathematics education have a certain viewpoint of mathematics. This article presents dialectical materialistic viewpoint as the viewpoint of mathematics which affects fundamentally on mathematical teaching-learning practice. The dialectical materialism is carried through the process and result of mathematics development. This shows that mathematical knowledge is objective. Mathematical knowledge has developed according to three basic rules of dialectical materialism i.e. the transformation of quantity into quality, the unification of antagonistic objects, and the negation of negation. This viewpoint of mathematics should offer the viewpoint of mathematics education which is different from the view point of absolutism, relativism or formal logic. In this article I considered mathematics separating standpoint of mathematics into materialistic viewpoint and dialectical viewpoint. 1 did so for the convenience of analysis, but you will be able to look at the unified viewpoint of dialectical materialism. 1 will make mention of teaching-learning method on another occasion.

• Research in Mathematical Education
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• v.12 no.1
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• pp.27-37
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• 2008

A test as a form of diagnostic of algorithm and logic abilities is considered. Such test for measuring abilities and achievements of talented children has been designed and used at the Kharkiv Regional Olympiad in Informatics. Quality of the test and its items is analyzed. Correlation between the test results of children and their success in creating mathematical models, designing of complicated algorithms and translating these algorithms into computer programs is discussed.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.421-437
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• 2020

Problem/Project based learning(PBL) is a student-centered teaching method in which students collaboratively solve problems and reflect their experiences. According to the results of PBL study and the experiences of the authors in PBL instruction, this paper introduced the necessities, output and significance of learning process PBL evaluation method and sums up our PBL evaluation process. The issue of appropriate and fair evaluation has been raised in untact (non-contact) university mathematics education due to the novel coronavirus (COVID-19) of the year 2020. To this end, when we had the course on for the summer semester held at S University in the summer of 2020. To ensure the fairness in evaluation and to improve the quality of our college math education, the PBL evaluation method was fully adapted. As a result, most of the students who took the lecture have learned a wide range of related knowledge without a single exception, and students agreed it is an ideal, fair, rational, and effective evaluation method applicable to other online courses in the era of untact education. This case was summarized in detail and introduced in this paper.

• Communications of Mathematical Education
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• v.20 no.3 s.27
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• pp.327-342
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• 2006

For completion of 5-days per week system, elementary mathematics curriculum is expended to twice a month. According to the enrichment of Jae-Ryang and After School Activity, educational environment is being changed. These changes require preparations to minimize school hours. Therefore, it is needed to make better the quality, quantity and the techniques of mathematics instruction. In this study, after teaching the level 5-Na and 6-Na, the result of assessment in section An assesment of 'Review Problem' is used to analyze passing of each question. As categorizing them into each domains, this article gives help to elementary school teachers to judge learner difficulties level of domains through analyzing the quality of instructor.

• The Mathematical Education
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• v.57 no.4
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• pp.393-412
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• 2018

Teacher quality is a key factor that determines quality of education. Being aware of this, the Korean government and teachers have been striving to improve teachers' professionalism. Research about the impacts of efforts to enhance teacher professionalism on students' academic achievement and course satisfaction, however, is extremely limited. This study sought to advance our understanding of the relationship between these factors by analyzing what teacher characteristics impact students' achievement and satisfaction. To this end, the study drew on the middle and high school data from 3rd to 6th year survey of the Seoul Educational Longitudinal Study. Structural equational modeling were used as the main approach. Latent profile analysis, a kind of mixture modeling analysis, were used as needed. This study found that teachers' participation in instruction enhancement activity and professional development impact students' attitude toward mathematics lessons and their perception on class atmosphere, and ultimately impact their academic achievement as well as their overall satisfaction in the course. In addition, teachers' use of EBS textbooks and videos impact 3rd grade high schoolers' academic achievement. These findings suggest that effort to improve teacher professionalism positively impact students' academic achievement and course satisfaction, although there is a difference according to the year grade. This study provides implications for education policy makers and teacher educators.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.545-561
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• 2015

The purpose of this study was to analysis how the elements of character are reflected in the 3rd and 4th grade elementary mathematics textbooks based on the 2009 revised curriculum. This study focused on the elements of character in the 3rd and 4th grade mathematics textbooks. The researchers analyzed the elements of character in the students' mathematics textbooks and teacher's guide books. In particular, they analyzed how those elements of character are reflected in those books. Findings of this study are as follows. First of all, the elements of character were founded in the most of units on the 3rd and 4th grade mathematics textbooks, but they were biased to the specific elements of character. Second, the resources using related with character vary in the textbooks. As methods of character education, connections of elements of character with mathematical concepts, broader view of the world, or problem solving are appeared. From the results of the research, we suggest the followings. We need to set the teacher's roles in character education. Mathematics textbooks should include various elements of character for effective character education. In addition to development of quality materials for character education in mathematics education, teacher education programs should include character education in mathematics education.

• Education of Primary School Mathematics
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• v.25 no.4
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• pp.433-457
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• 2022

An effective teacher community helps the participating teachers improve their instructional quality. This study reports a teacher community consisting of 15 elementary school teachers and one teacher educator. This paper analyzed 15 mathematics lessons in which the teachers implemented the five practices for orchestrating productive mathematics discussions by Smith and Stein (2018) based on the grade-specific discussions as well as the whole community's discussions. The results of this study showed that the overall levels of each practice either increased gradually or maintained at the highest Level 4, as mathematics lessons had been implemented. Specifically, the following practices were quite successful: setting goals for a lesson, selecting an appropriate task, anticipating student responses, and selecting student solutions. However, both sequencing and connecting student solutions were implemented at various levels. Monitoring student work tended to remain at Level 2 which included incorrect implementation of the practice. This paper closes with implications related to the skillful implementation of the five practices through a teacher community.

• Journal of the Korean School Mathematics Society
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• v.19 no.1
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• pp.43-61
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• 2016

This qualitative study investigates how qualitative research methods are applied into educational journals, especially focusing on research articles in the field of mathematics education. Since the mid 90s, there has been growing interest in qualitative research in Korea. As a result, qualitative research methods are becoming one of the main research methods in education, quite different from before the mid 90s that quantitative research methods themselves alone were undispute d research methods. However, such change in research methods also lead to a matter of concern, the rigor and quality of qualitative research. In order to identify how qualitative research methods are applied, this study carefully selects an d analyzes 5 article that used qualitative methods and were published by Education of Primary School Mathematics Journal in 2012. Several leading scholars' ideas and theories of qualitative research are used in the analytical process, with careful attention paid to every detailed element of 5 selected articles. In sum, this study concludes with practical implications for qualitative researchers and discusses future directions for improving qualitative research practice.

• Education of Primary School Mathematics
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• v.25 no.4
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• pp.329-341
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• 2022

Data collection is crucial to the process of statistical problem solving since it influences the quality of statistical data. However, there is little instruction on data collection in the Korean mathematics curriculum. In this study, we examined how the data were collected and how the data collection method was taught in the Korean mathematics textbooks for 3rd and 4th grades. As a result, the data appeared in these textbooks were collected by using a variety of methods, including surveys, experiments, observations, and secondary data collections. There were not enough instructions on experiments and observations, compared to surveys and secondary data collection. Additionally, as each textbook works with a distinct contents while teaching data collection, it is expected that there would be variations in the levels that students learn in relation to data collection. Based on these findings, we draw some discussion points to determine how to improve the mathematics curriculum in order to effectively teach data collection in the elementary school.

• Research in Mathematical Education
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• v.9 no.3 s.23
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• pp.203-231
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• 2005

Students in East Asia have consistently out-performed their counterparts in the West in recent international studies of mathematics achievement. But some studies also show that East Asian students are more rigid in thought, and lack originality and creativity. While different theories have been proposed to account for these student performances, relatively few research studies have been done on classroom practices, potentially a major variable for explaining student performances. This paper will report on the results of two classroom studies: the TIMSS 1999 Video Study and the Learners' Perspective Study (LPS). Results the quantitative analysis of the TlMSS 1999 Video Study data show that the East Asian classrooms were dominated by teacher talk, and the mathematics content learned was abstract and unrelated to the real life. On the other hand, the characteristics of the instructional practices in Hong Kong as judged by an expert panel are that student learned relatively advanced mathematics content; the components of the lessons were more coherent, and the presentation of the lessons was more fully developed. Hong Kong students seemed to be more engaged in the mathematics lessons, and the. overall quality of the lessons was judged to be high. Results of the analysis of the LPS data also show that the classrooms in the East Asian city of Seoul were in general teacher dominated, but students were usually actively engaged in the mathematics learning. Emphasis on exploration of mathematics and practicing exercises with variation was common. It is argued that the quality teaching in the East Asian classrooms laid a firm foundation in mathematics for students, and that constitutes a necessary condition for the development of students' creativity. In order to fully develop the creativity of East Asian students, they need to be given the right environment and encouragement.