• East Asian mathematical journal
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• 제35권4호
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• pp.407-427
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• 2019

The six core competencies included in the mathematics curriculum revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the problem solving is very important for students' enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the problem solving such as problem solving process, cooperative problem solving, mathematical modeling, problem posing. And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the problem solving competency were shown in each textbook.

• East Asian mathematical journal
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• 제35권1호
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• pp.23-30
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• 2019

Since Mittag-Leffler introduced the so-called Mittag-Leffler function, a number of its extensions have been investigated due mainly to their applications in a variety of research subjects. Shukla and Prajapati presented a lot of formulas involving a generalized Mittag-Leffler function in a systematic manner. Motivated mainly by Shukla and Prajapati's work, we aim to investigate a generalized multi-index Mittag-Leffler function and, among possible numerous formulas, choose to present several formulas involving this generalized multi-index Mittag-Leffler function such as a recurrence formula, derivative formula, three integral transformation formulas. The results presented here, being general, are pointed out to reduce to yield relatively simple formulas including known ones.

• East Asian mathematical journal
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• 제35권2호
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• pp.199-216
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• 2019

The purpose of this study is to analyze the needs of mathematics learning program using web or application for the development of adaptive mathematics learning program. For this study, a questionnaire survey was conducted for middle school students. The results of the 290 responses were analyzed to identify students' needs for adaptive mathematics learning. As a result, learners wanted functions to design their own learning and to support self-directed learning. The results of this study are expected to be used as basic data for the development of a adaptive mathematics learning program reflecting students' needs.

• East Asian mathematical journal
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• 제37권2호
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• pp.149-167
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• 2021

The six core competencies included in the mathematics curriculum revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the reasoning is very important for students' enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of investigation and fact guess, justification, the logical performance of mathematical content and process, reflection of reasoning process, And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the reasoning competency were shown in each textbook.

• East Asian mathematical journal
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• 제37권2호
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• pp.197-221
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• 2021

In this study, a men-tutoring model was applied to four second-year high school students in mathematics learning counseling that could cultivate cognitive and affective domains. By observing and analyzing the cases, we examined the effects of mathematics learning counseling on students' mathematical attitudes and self-regulated learning ability. The results of mentoring applied to mathematics learning counseling had a positive effect on reinforcing prerequisite learning, improving self-regulated learning ability, strengthening mathematical strategies, and inducing learning motivation and maintaining interest. We are looking forward to that men-tutoring can be used effectively for students who have difficulty learning mathematics.

• East Asian mathematical journal
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• 제38권2호
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• pp.165-185
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• 2022

The six core competencies have been emphasized in the mathematics curriculum revised in 2015. In particular, the communication is very important for students' representing their own thinking and enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the communication such as the understanding of mathematical representation, development and transition of mathematical representation, the representation of his own thinking, the understanding of the others' thinking. And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the communication competency were shown in each textbook.

• East Asian mathematical journal
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• 제38권4호
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• pp.415-437
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• 2022

Recently, various platforms of education technology (Edu-Tech) that use artificial intelligence have been developed in the field of mathematics education. The case study in this paper reports the learning experience of a high school student who was directed to learn mathematics through the self-directed learning process provided by a mathematics learning platform using Edu-Tech with the intervention of mentoring provided by his teacher. The study found that the mentoring intervention could make an effective contribution to student's mathematics learning by playing the role of an auxiliary tool for the self-directed learning over time. In this paper, we explain the nature of the challenges that the student encountered in the process of self-directed learning and the roles that the teacher mentoring has played in this process.

• East Asian mathematical journal
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• 제38권4호
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• pp.497-516
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• 2022

In this study, we tried to devise a method to activate meta-affect in the aspect of supporting mathematics teaching and learning according to the need to find specific strategies and teaching and learning methods to activate learners' meta-affect in mathematics subjects, which are highly influenced by psychological factors. To this end, the definitional and conceptual elements of meta-affect which are the basis of this study, were identified from previous studies. Reflecting these factors, a teaching and learning model that activates meta-affect was devised, and a meta-affect activation strategy applied in the model was constructed. The mathematics teaching and learning model that activates meta-affect developed in this study was refined by verifying its suitability and convenience in the field through expert advice and application of actual mathematics classes. The developed model is meaningful in that it proposed a variety of practical teaching and learning methods that activate the meta-affect of learners in a mathematical learning situation.

• East Asian mathematical journal
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• 제39권2호
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• pp.199-227
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• 2023

The Korean government initiated an educational policy regulating academic acceleration in schools (e.g., regulating teaching or assessing above-grade-level content) in order to normalize public education and prevent the growth of private tutoring. To analyze whether the policy is achieving its intended goals, this study examined how high school mathematics teachers responded to the policy. The findings indicate four distinct teacher responses: the teachers would teach above-grade-level lessons in classes, but not assess them on a test; the teachers sought academic acceleration to prevent excessive private tutoring, although the policymakers thought that teachers' academic acceleration results in an excessive demand for private tutoring; the teachers were willing to teach above-grade-level content for students, but they were reluctant to teach below-grade-level content due to the time constraints; and the teachers recognized that the policy limited their curricular autonomy, even though it was intended to ensure their autonomy. Implications for mathematics teacher educators and policymakers are discussed.

• East Asian mathematical journal
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• 제27권2호
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• pp.223-242
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• 2011

The fact that Herbart's education has realized in the educational context the Kant's theory of transcendental education by applying Kant's transcendentalism to education is of great significance for education. It also provides an implication for mathematics education that Herbart's education of mathematics education can be applied to mathematics education through an attempt to combine a practical ethics education and an aesthetic emotion education with mathematics education. Both Kant and Herbart clearly show that an only practical, aesthetic education would not exist as a solely theoretical mathematics education cannot. Therefore, these multi-dimensional aspects of mathematics education should be always considered as a whole although there could be a difference in importance among those aspects. It implies that, regardless of the environments for mathematics education, mathematics teachers and students must do mathematics education activities that take into consideration the humanity in its entirety. The theory of mathematics education based on Herbart's education reveals that the entireness of human being should not be neglected in any case. In this regard, Herbart's theory of education shows that mathematics education is an all-inclusive theory of mathematics education that embraces both phenomenon and transcendence.