• East Asian mathematical journal
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• v.36 no.2
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• pp.173-201
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• 2020

Mathematical modeling has been emphasized because it offers important opportunities for students to both apply their learning of mathematics to a situation and to explore the mathematics involved in the context of the situation. However, unlike its importance, mathematical modeling has not been grounded in typical mathematics classes because teachers do not have enough understanding of mathematical modeling and they are skeptical to implement it in their lessons. The current study analyzed the data, such as video recordings, slides, and surveys for teachers, collected in four lessons of teacher education in terms of mathematical modeling. The study reported different kinds of tasks that are authentic with regards to mathematical modeling. Furthermore, in teacher education, teachers' identities have separated a mode as learners and a mode as teachers and conflicts and intentional transition were observed. Analysis of the surveys shows what teachers think about mathematical modeling with their understanding of it. In teacher education, teachers achieved different kinds of modeling tasks and experience them which are helpful to enact mathematical modeling in their lessons. However, teacher education also needs to specifically offer what to do and how to do it for their lessons.

• East Asian mathematical journal
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• v.40 no.2
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• pp.267-286
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• 2024

This study investigates the perceptions toward prospective elementary teachers regarding the revised 2015 elementary mathematics curriculum. The aim is to understand the importance and implementation of the revised curriculum and provide implications for curriculum improvement in elementary teacher education institutions, using Interpretative Phenomenological Analysis (IPA). The research findings are as follows: Firstly, prospective elementary teachers perceived that the areas of the revised 2015 elementary mathematics curriculum that require particular focus are number and operations and data and probability. Secondly, they identified the specific elements within these areas that demand dedicated attention as follows: numbers up to four digits in number and operations, mixed calculations with natural numbers, shapes of solid figures, spatial sense of solid figures, comparison of quantities in measurement, etc. These findings can inform the improvement of the curriculum in elementary teacher education institutions.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.331-347
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• 2017

The purpose of this study is to develop a sample chapter of mathematics textbook at the first middle school according to the model of supporting learners' self-directed learning. The self-directed learning is a learning strategy to develop learner's ability to solve unstructured problems by himself or herself. Basically, the textbook should included learning objectives distinctively. Second textbook should consist of some appropriate method for learners to learn content. Third, it suggests some plans to utilize learning strategies of this model effectively when authors or developers develop textbooks in future. Based on those condition, it is also requested that the sample chapter of the textbook be develop in order to study interestingly as well as to implement self-directed study, and content materials using mixed diverse subjects would be included in the chapter. Furthermore, the sample chapter which is suitable to the semester of managing self-directed learning middle school would be developed. For this purpose, in this study the 'Plane shapes' was selected dealt with in the first middle school. The sample chapter is developed at first by the researchers and then revised and completed through the checking from the professionalists two times.

• Journal of the Korean School Mathematics Society
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• v.16 no.2
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• pp.459-478
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• 2013

Didactic transposition refers to an adaptive treatment of mathematical knowledge into knowledge to be taught. This study intends to investigate how mathematical knowledge was modified in mathematics textbooks and lessons. This study identified examples of didactic transposition in mathematics textbooks and lessons in Korea and those in the U.S., The examples identified were FOIL method, trigonometry using s, c, t in writing style, order of operations(PEMDAS), area of a circle and circumference, order of prefixes in the metric system, trigonometry(SOH, CAH, TOA), operations on integer, and regular polyhedra. These examples were classified into the two categories, one for mnemonics, and one for concreteness and intuitiveness. Then a survey was conducted for in-service teachers in Korea and those in the U.S. to evaluate the appropriateness and the necessity of didactic transposition. Lastly, the potential didactic phenomena, meta-cognitive shift which may occur with these examples were discussed.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.12 no.2
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• pp.125-148
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• 2008

The purpose of this study was to analyze concretely and minutely a primary factor of deciding attitude of learning mathematics of elementary school students, grope a solution for negative attitude of learning mathematics with researching a difference between major factors by achievement in mathematics, and examine a suggestion in forming positive attitude of learning mathematics. The results of this study is as follows. First, elementary school students decided whether they liked or disliked mathematics, depending on not only characteristics of mathematics, but also teacher's teaching mathematics with interest and fun, or teacher's teaching tediously and difficultly. Second, negative attitude toward mathematics exam of elementary school students was influenced by parents' meddling for exam and negative attitude toward result of exam more than uneasiness by exam itself. Third, as private education for elementary school students becomes more popular, the learning mathematics out of school can be an important factor to decide attitude of learning mathematics of students on several sides such as teacher, teaching method, method of presenting task, and so on as much as mathematics class in school, and characteristics of mathematics. Fourth, students demanded silent and concentrative atmosphere in studying to have positive attitude of learning mathematics. Fifth, as the result of examining major factors that form attitude of teaming mathematics of groups by achievement in mathematics, there was considerable difference in each group. Students in a group of ‘upper’ and ‘lower’ disliked parents' meddling and rebuke, but it didn't change greatly their attitude toward mathematics exam. However a group of ‘middle’ showed the greatest uneasiness toward an exam, and they reacted sensitively to parent's rebuke, scolding, learning environment, and so on.

• School Mathematics
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• v.12 no.2
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• pp.219-237
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• 2010

On inquiry of international comparison assessment, the Korean students achieve high scores in mathematics while they achieve relatively low scores in responses of the affective questionnaire. It can be an important point in mathematics education of Korea, but there are few studies which explore the specific reasons. So in this study, we analysed the results of PISA 2003(in math domain) based on multiple regression analysis and correlation analysis to investigate the reasons and features of those phenomena. We compared the results of Korean students with students of other countries. As a result, there were 7 factors which effect on Korean students' affective domain in mathematics learning and they were statistically significant. According to this study, it needs to improve students' positive attitudes to their school, mathematical interest, and positive self-concept. And it needs to develop an actual instrument to explore the affective domain which effect on mathematics learning.

• Journal of the Korean School Mathematics Society
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• v.9 no.3
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• pp.405-424
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• 2006

The purpose of this study was to develop the instruments which can measure behavior characteristics as a component of Mathematically Giftedness with in middle school period. This study prescribed the variable factors of measurement after classify the characteristics of Mathematically Giftedness through literature studies. And it produced instruments those are finally composed of 51 items through the preliminary test. The participants for the study were 424 Korean middle school students. Statistical analyses were carried out to verify the validities and reliability. Reliability(Cronbach $\alpha$) was in behavior characteristics, .95. Content validity was found to be satisfactory by internal validity evaluation on the test items. Internal validity were analyzed by BIGSTEPTS based on Rasch's 1-parameter item-response model. Construct validity was also found to be satisfactory through factor analysis which showed the four factors which the identification instruments were intended to measure such as, General mathematical mental ability, Mathematical Ability, Processing and Obtaining mathematical information Anility and Mathematical Disposition Ability. In conclusion, the instruments about behavior characteristics of Mathematically Giftedness during middle school period developed by this study are highly reliable on its reliability and validity.

• Journal of Fisheries and Marine Sciences Education
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• v.28 no.2
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• pp.502-514
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• 2016

The purpose of this research is to identify the level of number sense, the attitude toward mathematics and the mathematics teaching efficacy of pre-service elementary special education teachers and to verify the mediation effect of mathematics teaching efficacy between number sense and attitude toward mathematics. 70 university students participated in research. The results from this study are as following: First, the level of number sense among pre-service elementary special education teachers was not so high. They had negative attitude toward mathematics and their mathematics teaching efficacy was on the average level. Second, positive correlationships were shown between number sense and attitude toward mathematics and between number sense and mathematics teaching efficacy. The mediating effect of the mathematics teaching efficacy in the relationship between number sense and attitude toward mathematics was found. The limitations of the study and directions for future studies were discussed.

• Journal of Elementary Mathematics Education in Korea
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• v.10 no.1
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• pp.89-106
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• 2006

The purposes of this study are to find out differences of the causes of mathematics anxiety in elementary school students according to the Grades and sex, and to find out which causes have more influence on achievement of mathematics and how much it is. For this purposes, the problems of this study are defined as follows: First, are there any differences in the influences of each super-causes and sub-causes of mathematics anxiety according to the Grades? Second, are there any differences in the influences of each super-causes and sub-causes of mathematics anxiety according to the sex? Third, what relation do the super-causes of mathematics anxiety have to the achievement of mathematics? The conclusions of this study are as follows: First, mathematics anxiety is much more affected by the internal cause like the cause of student attitude than the external cause like the causes of circumstance and the cause of teacher. Second. mathematics anxiety is much more affected by a direct experience like the causes of a shortage of time and the causes of student interest than indirect experience like the causes of teacher's authority and the causes of the application of daily life. Third, the causes of circumstance and parent's attitude. its sub-cause, have greater influence on the female group than on the male group. Fourth, in the middle Gradess, the female group is more affected by the cause of student attitude and the cause of circumstance than the male group, but in the higher Grades. the differences disappear and those two become common causes of anxiety. Fifth, As the students go up to the next Grades in school, the cause of teacher, the characteristic of the curriculum and the cause of prejudice have more influence on the mathematics anxiety. Sixth, the causes of teacher, the causes of mathematical curriculum and the causes of student attitude among super-causes of mathematics anxiety have a negative effect on the achievement of mathematics. But the causes of circumstance have a positive effect on it. And also, the causes of mathematical curriculum among super-causes is much related to the causes of teacher and the causes of circumstance.