• Communications of Mathematical Education
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• v.31 no.2
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• pp.223-239
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• 2017

In this paper, it is aimed to design the teaching units 'Inquiry into the isoperimetric problem of triangle and quadrilateral' to give elementary gifted students experience of mathematization. For this purpose, the teacher and the class observer (researcher) made a discussion about the design of the teaching unit through the analysis of the class based on the thought processes appearing during the problem solving process of each group of students. The following is a summary of the discussions that can give educational implications. First, it is necessary to use mathematical materials to reduce students' cognitive gap. Second, it is necessary to deeply study the relationship between the concept of side, which is an attribute of the triangle, and the abstract concept of height, which is not an attribute of the triangle. Third, we need a low-level deductive logic to justify reasoning, starting from inductive reasoning. Finally, there is a need to examine conceptual images related to geometric figure.

• Communications of Mathematical Education
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• v.35 no.1
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• pp.1-14
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• 2021

Mathematics anxiety is a term for emotional and physical resistance to mathematics. Understanding students' mathematics anxiety is important not only in terms of improving mathematics academic achievement, but also in nurturing mathematics manpower necessary for the future society. In particular, mathematics anxiety is most likely to occur in elementary school, and it has a negative effect on subsequent learning. Therefore, it is important to understand the aspects of students' mathematics anxiety in elementary school. In this study, I presented the patterns of changes in students' mathematics anxiety over time and statistically verified them. As a result of a follow-up survey of 249 elementary school students' mathematics anxiety for 3 years from 4th to 6th grade, it was found that, rather than having a special pattern related to the formation of math anxiety, it may increase and decrease and vary depending on individual confirmed. Later, in this study, five patterns of Mathematics anxiety patterns were identified through statistical analysis. In addition, I confirmed that the students' interest about teachers' mathematics lessons was consistently influencing the change in mathematics anxiety. The results of this study will increase students' understanding of the formation of mathematics anxiety and can be used as basic data for the development of teaching and learning materials related to mathematics anxiety in the future and subsequent research.

• Journal of the Korean School Mathematics Society
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• v.23 no.4
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• pp.469-489
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• 2020

Middle school students are known to have high levels of math anxiety. According to the need for test tools that reflect the characteristics of today's middle school students, it was intended to develop a mathematical anxiety test for middle school students. Sub-factors of mathematical anxiety were established based on prior research and questions corresponding to each factor were produced. The suitability and validity of the questions were analyzed through two pilot tests. Then some of the questions were revised. This test was conducted on 255 middle school students using the revised questions, and the validity and reliability of the test tools were analyzed on 246 student responses. The final developed test tool consisted of 6 sub-factors and a total of 36 questions, and was intended to provide students, teachers, and parents with information about students' mathematical anxiety by providing criteria for the degree of anxiety.

• Education of Primary School Mathematics
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• v.25 no.4
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• pp.377-394
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• 2022

Criticism has been raised that the way of teaching weights in the 3rd and 4th graders of elementary school is different between the 2015 revised math curriculum and the 2015 revised science curriculum, causing confusion among elementary school teachers and students. This study tried to confirm the social recognition that should be considered in the process of didactic transformation which means transformation from knowledge to used into knowledge to taught and to compare the variations of didactic transformations differently according to didactic intentions. The research analyzes and synthesizes the root of the meaning of weight, weight in the international standard system of units SI, weight implemented in Korean mathematics curriculum and textbooks, Singaporean mathematics curriculum and textbooks, USA mathematics curriculum and textbooks, and Korean science curriculum and textbooks. Through this analysis, a pedagogical perspective on how to define and teach weight in elementary school as knowledge to be taught was derived.

• Journal of the Korean School Mathematics Society
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• v.25 no.4
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• pp.397-422
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• 2022

The purpose of this study was to explore the possibilities of using the Metaverse in mathematics education. The use of the Metaverse started for commercial purposes, and now its use is expanding to all areas, including education. For this study, the researcher analyzed preceding studies related to the Metaverse and the domestic Metaverse platforms for mathematics education in Korea. As a result of the study, the use of Metaverse for mathematics education is still in its beginning stage, and most of the content is limited to mathematical games. However, there are a lot of opportunities and possibilities for mathematics education with Metaverse, and we need to develop the Metaverse platforms specialized for mathematics education with high-quality mathematics content. The researcher suggested to build infrastructure and operate a national level educational Metaverse platform, develop math-specific Metaverse platforms and mathematical content based on field-tested research on the use of the Metaverse platforms. The researcher also emphasized the necessity of teacher education programs for teachers to strengthen the utilization capacity of the Metaverse for mathematics education.

• The Mathematical Education
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• v.61 no.1
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• pp.83-108
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• 2022

This research is a case study in which teachers tried to improve classes through online class analysis and self-evaluation in elementary school mathematics classes using a checklist of class reflection based on fair access, autonomy, initiative, and evaluation areas in the TRU analysis framework of Schoenfeld (2016). As a result, it was confirmed that the teacher's fair participation, student autonomy, initiative, feedback, and evaluation areas improved teaching methods during the short time. Therefore, if you want to improve classes in relatively short period of time, you can see the effect of some improvement only by self-evaluation. However, continuous improvement of teaching methods require the help of a teacher communities including experts or critical colleagues, and a longer-term case study.

• Journal of the Korean School Mathematics Society
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• v.20 no.1
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• pp.57-76
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• 2017

Since the 1990s, Korea has been developing various policies and materials for the improvement of basic learning abilities. In this study, the cases of policies for underachievers in Korea and the US were compared and analyzed the programs for mathematics underachievers in elementary school with Chuncheon office of education and Seattle public schools. All of them started from the point of relief of underachievers, but they differed in the process of operating them specifically. This study suggests the followings. First, active utilization of vacation programs to solve problems such as low-income meal service, prevention of stigma effects, securing teacher's instruction time, teacher-instructor cooperation. Second, the necessity of detailed activity-centered textbooks that underachievers can explore with interest in mathematics learning and easy to use by teachers. Third, specific cooperation for inducing interest of their own children's learning and forming close ties between parents and teachers. Fourth, program analysis by a professional evaluation group to improve the quality of underachiever program.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.167-191
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• 2014

In this study, we investigate the term-sets of 'base' or 'bottom': 'the bottom side of a polygon' and 'the base side (of a geometrical figure)'. And we study the concept of 'the base area' in the solid figures and the formula of 'the bottom dimensions'. We start from the 6th grade math problem: 'Find the bottom dimension of the rectangular.' The primary answer is that it does not use the term('the bottom dimensions') in the elementary mathematics. However, in the middle school mathematics, 'the base area' is used as means of 'the area of one bottom side', which is not explained anywhere from the elementary mathematics to middle school mathematics. In addition, the base is defined and 'the surface area' and 'the side area' is taught in the elementary mathematics, so we naturally think of 'the base area'. Therefore we first investigate the term-sets of 'base' or 'bottom' which has two elements: 'the bottom side of a polygon' and 'the base side (of a geometrical figure)'. Next we discuss 'the base area' through curriculum and textbooks, dictionary definitions and so on. In addition, we survey pre-service teachers and teachers about the solid figures and analyse the understanding of 'the base side' and 'the base area' comparatively. In particular, we compare the changes and the tendency of correct answers from the first question to the last question. As a result, we verify 'the cognitive gap' between the elementary mathematics and the middle school mathematics, we suggest the teaching of 'the base area' and succession subjects to teach figure domain in the elementary mathematics.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.373-388
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• 2013

This paper is to investigate how two elementary school teacher's belief mathematics as educational content, and teaching and learning mathematics as a part of educational methodology, and what the two teachers believe towards gifted children and their education, and what the classes demonstrate and its effects on the sociomathematical norms. To investigate this matter, the study has been conducted with two teachers who have long years of experience in teaching gifted children, but fall into different belief categories. The results of the study show that teacher A falls into the following category: the essentiality of mathematics as 'traditional', teaching mathematics as 'blended', and learning mathematics as 'traditional'. In addition, teacher A views mathematically gifted children as autonomous researchers with low achievement and believes that the teacher is a learning assistant. On the other hand, teacher B falls into the following category: the essentiality of mathematics as 'non-traditional', teaching mathematics as 'non-traditional, and learning mathematics as 'non-traditional.' Also, teacher B views mathematically gifted children as autonomous researchers with high achievement and believes that the teacher is a learning guide. In the teacher A's class for gifted elementary school students, problem solving rule and the answers were considered as important factors and sociomathematical norms that valued difficult arithmetic operation were demonstrated However, in the teacher B's class for gifted elementary school students, sociomathematical norms that valued the process of problem solving, mathematical explanations and justification more than the answers were demonstrated. Based on the results, the implications regarding the education of mathematically gifted students were investigated.

• Journal of Elementary Mathematics Education in Korea
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• v.11 no.2
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• pp.177-197
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• 2007

This study discussed the climbing learning method which studied and practiced by Professor Saito Noboru. This is the learning method which is devised to know not only the relationship of the learning factors but the systemic or structural connection of whole studying contents- affects children's math learning ability through practical class to both the lower and the higher grades. To achieve the purpose of this study, these following issues were set; A. Develop the teaching and learning course of mathematics by applying the climbing learning method. B. Execute the mathematics lesson according to the climbing learning method and analyze the learning achievement. C. Analyze the difference between application of the climbing learning method and that of the learning method by student's level in mathematics. D. Analyze what the climbing learning method gives a shift of the recognition of learning mathematics. In order to accomplish these study issues, we analyzed the text book of math not only for children but also for teachers and developed the teaching and learning course applied the climbing learning method with advice of experts. It was chosen two different homogeneous groups each, third year for lower grade group and fifth year for higher grade group. It was done the experimental group lesson applying the climbing learning method and general lesson for the control group. After then, t-test against independent samples was done depending on the result of the student's assessment(T1, T2). These two groups' students were divided into smaller groups based on result of achievement level regardless of gender. These subgroups were confirmed the difference of learning ability between upper and lower level group. As regarding the result making out grades of faith and attitude for math, t-test was used on independent sample. At the same time, experimental groups were tested using learning attitude with the learning structure chart. Through this study the following results are obtained and the conclusion was drawn. Firstly, although applying the climbing learning method to the lesson does not have significant effect to the lower grade of elementary school student's achievement it has significant influence on the higher grade student's achievement. Second, as a result of analyzing the difference between the climbing learning method and the learning method by student's level in mathematics, it is of no beneficial effect to the lower grade both upper level and lower level. However, it has appreciable effect to the higher grade classes both upper level and low level. Especially, upper level students have higher effect than low level students. Third, climbing learning method does not affect to the faith and attitude of the lower grade students positively, but it has affirmative effect to the higher grade students'. As a result of the survey of the experimental groups which were applied to the climbing loaming method, the lesson by using the learning structure chart proved to be helpful to the both the lower and higher grade. The best advantage of using the learning structure chart, children say, is easily understood whole contents of studying and is useful for review. Furthermore, using the learning structure chart is more efficient compared with previous learning method and is given the successful result to self-directed learning. In conclusion, keeping up with the current of the thought of education, we suggest a scheme as a new teaching method from the constructive learning method which emphasize the self-directed learning.