• Korean Journal of Child Studies
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• v.25 no.4
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• pp.129-145
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• 2004

This study examined the effects of Literature-based Mathematical Activities using scaffolding (LMS) on the mathematical achievement, interest, and vocabulary of day care children. The experimental group of 15 boys and 15 girls was exposed to both literature and teacher's scaffolding while the comparison group of 14boys and 16 girls had traditional mathematics curriculum. The experiment was carried out for 8 weeks. ANCOVA and T-test were employed for a statistical analysis. The results revealed statistically significant differences in mathematical achievement, interest, and vocabulary between an experimental and control groups. We can conclude, therefore, that LMS is more effective in developing children's mathematical thinking abilities than a traditional mathematical curriculum.

• Communications of Mathematical Education
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• v.33 no.1
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• pp.21-34
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• 2019

The purpose of this paper is to investigate the differences of the mathematics anxiety and mathematical achievement of high school students according to math socialization, and to find out which mathematics anxiety causes have more influence on mathematical achievement and how much it is. For this purposes, the problem of this study as follows: firstly, are there any relationship among mathematical grades, mathematics anxiety, interest and math socialization? secondly, are there any math socialization mathematics predict to mathematical grades, mathematics anxiety, interest? lastly, are there any differences in the mathematical grades, mathematics anxiety, interest according to math socialization level? The subjects of this study consist of 479 students selected for a class of unit, in high schools located in Seoul and metropolitan area, Korea. In this study, for students math socialization, Jung(2002)'s scale was used. Mathematical anxiety & interest, Huh(1996)'s Mathematics Anxiety Scale was used. The collected data were analyzed by using the 24.0 SPSS program. The data were also tested by using the t-test, pearson correlation and multiple regression. The major results of this study were as follows: firstly, math socialization, mathematics anxiety, interest and mathematical grades have significantly related each other, secondly, the multiple regression analyses demonstrated that sub factors of math socialization were the significant predictors of mathematical grades, mathematics anxiety and interest, lastly, mathematics grades, and mathematical anxiety and interest have significant differences depending on math socialization.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.1-23
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• 2020

The purpose of this study is to theorize the conceptualizations of educational interest focused on mathematics learning and to investigate the directions of increasing students' interest in mathematics. This study reconsiders the interest theory of Dewey, classification of situational interest and individual interest, and the experimental research of mathematical interest. The conceptions of educational interest on mathematics learning are as follows. First, mathematical interest refers to the total experiences that an individual feels the need to engage in mathematical objects. Second, making a distinction between situational interest and individual interest is effective in suggesting educational interventions in order to improve students' learning interest. Third, interest is characterized by affect, cognition, and value. According to the conceptions of educational interest on mathematics learning, this study suggests that we should develop or construct good mathematics tasks to increase students' interest in mathematics. Good mathematics tasks consider both students' understanding and students' affection and provide activity's goals or values to be noticed by students.

• Journal of the Chungcheong Mathematical Society
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• v.34 no.2
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• pp.157-168
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• 2021

This study uses the benchmark interest rate of the Federal Open Market Committee (FOMC) to predict gold futures prices. For the predictions, we used the support vector machine (SVM) (a machine-learning model) and the long short-term memory (LSTM) deep-learning model. We found that the LSTM method is more accurate than the SVM method. Moreover, we applied the Boruta algorithm to demonstrate that the FOMC benchmark interest rates correlate with gold futures.

• Journal of the Korean Mathematical Society
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• v.57 no.5
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• pp.1167-1186
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• 2020

This paper considers the case of pricing discretely-sampled variance swaps under the class of equity-interest rate hybridization. Our modeling framework consists of the equity which follows the dynamics of the Heston stochastic volatility model, and the stochastic interest rate is driven by the Cox-Ingersoll-Ross (CIR) process with full correlation structure imposed among the state variables. This full correlation structure possesses the limitation to have fully analytical pricing formula for hybrid models of variance swaps, due to the non-affinity property embedded in the model itself. We address this issue by obtaining an efficient semi-closed form pricing formula of variance swaps for an approximation of the hybrid model via the derivation of characteristic functions. Subsequently, we implement numerical experiments to evaluate the accuracy of our pricing formula. Our findings confirm that the impact of the correlation between the underlying and the interest rate is significant for pricing discretely-sampled variance swaps.

• Communications of the Korean Mathematical Society
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• v.31 no.2
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• pp.415-422
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• 2016

We derive a closed-form expression for the price of a European quanto call option when both foreign and domestic interest rates follow the Vasicek's short rate model.

• Education of Primary School Mathematics
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• v.23 no.4
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• pp.175-189
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• 2020

The purpose of the present study was to investigate the structural relationships between elementary teachers' mathematics instruction, teachers' mathematics teaching efficacy, students' mathematical interest, and mathematics achievement. To achieve this goal, we used TIMSS 2015 Korean data and implemented multilevel structural equation modeling given that student data were nested within the school data. The findings reveled that at the student level, the instructional quality rated by students positively affected student mathematical interest. Additionally, student mathematical interest positively affected student mathematics achievement. Although the direct effect of instructional quality on student mathematics achievement was insignificant, the total was significant. At the school level, there were positive direct effects of instructional quality and teacher's mathematics teaching efficacy on student mathematical interest. The direct effects of instructional quality, teachers' mathematics teaching efficacy, and student mathematical interest on mathematics achievement were not significant. However, the total effects of instructional quality and teachers' mathematics teaching efficacy on mathematics achievement were significant. Based on the results, we discussed the implications of the study.

• Education of Primary School Mathematics
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• v.6 no.1
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• pp.41-54
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• 2002

The purpose of this study is to find out what mathematical situation means, how to pose a meaningful situation and how situation-centered teaching could be done. The obtained informations will help learners to improve their math abilities. A survey was done to investigate teachers' perception on teaching-learning in mathematics by elementary teachers. The result showed that students had to find solutions of the textbook problems accurately in the math classes, calculated many problems for the class time and disliked mathematics. We define mathematical situation. It is artificially scene that emphasize the process of learners doing mathematizing from physical world to identical world. When teacher poses and expresses mathematical situation, learners know mathematical concepts through the process of mathematizing in the mathematical situation. Mathematical situation contains many concepts and happens in real life. Learners act with real things or models in the mathematical situation. Mathematical situation can be posed by 5 steps(learners' environment investigation step, mathematical knowledge investigation step, mathematical situation development step, adaption step and reflection step). Situation-centered teaching enhances mathematical connections, arises learners' interest and develops the ability of doing mathematics. Therefore teachers have to reform textbook based on connections of mathematics, other subject and real life, math curriculum, learners' level, learners' experience, learners' interest and so on.

• East Asian mathematical journal
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• v.28 no.4
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• pp.383-401
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• 2012

The purpose of mathematics education includes two important areas; cognitive area that emphasizes mathematical knowledge and understanding and affective area that stresses mathematical interest and attitude. The purpose of mathematics education is not only in acquiring the contents and knowledge but also rousing up interest and attention toward mathematics. Therefore, effort to accomplish this affective purpose has to be made. Introducing history of mathematics to teaching can be a important method for the students to arouse interest and attention toward mathematics. History of mathematics can help the students who are familiar to only manipulation of the symbols to develop a new way of thinking and mathematical thoughts arousing reflective thinking. According to the survey, although the effect of using mathematics history has been recognized, the mathematics history has neither been developed as teaching materials nor reflected in the courses of study. The purpose of this research is to develop the reading materials into suit for the mathematics curriculum to extract contents of the mathematics valuable in using in elementary mathematics teaching, and to investigate the effect of reading materials using the history of mathematics on learning attitude in elementary school. The way of developing materials in this study is as follows. First, to select the interesting and instructive subject for the elementary students such as the story and life of a mathematician, developmental stages of mathematical theory and calculation currently used and finding the patterns of the rules that requires mathematical thoughts. Second, to classify the selected items according to mathematics curriculum. Third, to reorganize the classified items of the appropriate grade with the reading materials of dialogue pattern in order to draw attention and interest from the students I developed 18 kinds materials in accordance with the above procedure and applied 5 materials among them to one class in 4th grade. Analysing the student's responses, First, using history of mathematics helps the students to arouse interest and confidence on mathematical learning attitude. And the students became better attitude of studying by oneself and attention on class. Second, as know by opinions after lesson, most students have a chance refresh one's thinking of mathematics, want to know the other content of history of mathematics and responded to study hard in mathematics. As a result, the reading materials on the basis of the history of mathematics motivates students for mathematics and helps them become confident in mathematics. If the materials are complemented properly, they will be useful and effective for students and teachers.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.20 no.4
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• pp.336-344
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• 2019

The Ministry of Education (2015) announced the "2015 Revised Curriculum for Elementary and Secondary Schools" and announced that SW (Software) training for elementary and junior high school students to develop Computational Thinking will be gradually introduced from 2018. In addition, 'problem solving' and 'programming' have become important areas. Furthermore, the ability to analyze and utilize big data is becoming more emphasized. We developed and applied the statistical - Python programming convergence curriculum based on the idea that convergence education combining information and mathematics, programming and statistical literacy is needed according to current trends. Before and after the experiment, problem solving ability test and programming / mathematical interest test were conducted and compared with the corresponding sample t-test. According to the analysis results, there were significant differences in the pre- and post-test on problem solving ability, programming interest and mathematical interest at the significance level of 0.05.