• Journal of the Korean School Mathematics Society
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• v.24 no.4
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• pp.391-405
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• 2021

In this study, 'data collection', 'data expression', 'data analysis, and 'optimization and decision-making' were selected as the core AI concepts to be dealt with in the mathematics for AI education. Based on this, the degree of reflection of AI core concepts was investigated and analyzed compared to the mathematical core concepts and content of each area of the elective course. In addition, the appropriateness of the content of was examined with a focus on core concepts and related learning contents. The results provided some suggestions for answering the following four critical questions. First, How to set the learning path for ? Second, is it necessary to discuss the redefinition of the nature of ? Third, is it appropriate to select core concepts and terms for ? Last, is it appropriate to present the relevant learning contents of the content system of ?

• Education of Primary School Mathematics
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• v.25 no.3
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• pp.233-249
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• 2022

Measurement plays an important role in both school mathematics and real life. Among the measurement areas, length is the first to learn and is the basis for measurement. Time is measured in its own way and is characterized by being the most abstract. This study attempted to analyze elementary mathematics textbooks and representations in real life to examine how the length and time of learning in school mathematics differ from those represented in real life. Based on this, we tried to derive implications for the direction of measurement education and elementary math textbooks. As a result of the analysis, the concept of length was used the same in real life and school mathematics. However, terms such as distance, depth, and height were not defined, and the representation of the approximate value was presented in a fragmentary form. In addition, there were parts where students were likely to feel confused in school mathematics and real life, such as the same units such as 'minutes and seconds' were used in time. Therefore, considering these differences, it is necessary to consider the direction of composition of math textbooks and teaching and learning so that students can connect school mathematics and real life and understand widely about measurement concepts.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.4
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• pp.627-654
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• 2016

Despite the significance of the measurement strand in elementary mathematics education, it is not easy to teach it meaningfully. This study analyzed instructional methods related to capacity and weight in a series of mathematics textbooks of Korea, Japan, Singapore, and the US. The overall analysis was conducted in the following two aspects: (a) what and when to teach main learning content, and (b) how to teach the learning content tailored to the instructional components specific to the topics of measurement (i.e., the necessity of measurement unit, the meanings of measurement terms, appropriate choice of units, appropriate choice of measurement tools, and the necessity of calculation). The results of this study showed overall similarities in using real-life contexts to teach major topics on capacity and weight as well as emphasizing the relations among measurement units. However, noticeable differences were also analyzed in dealing with the meanings of measurement terms, appropriate choice of units, and appropriate choice of measurement tools. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with capacity and weight.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.397-411
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• 2010

In this paper, definitions of biyoul and value of bi in elementary mathematics in Korea are critically analysed. And identity of halpunri is reviewed. Regarding biyoul, it is suggested that the use of term 'biyoul' is restricted to such cases when the quantity to be compared and the quantity to be a base have same measuring unit, without consider ing biyoul in terms of two numbers. it is suggested to use "the number which express how many times the quantity to be compared is contained by the quantity to be a base is called biyoul." as a definition of biyoul. It is suggested to use "value of bi A : B is A/B" as a definition of value of bi. Halpunri is a variation of halbunri, which is coined by putting hal, pun, and ri together in purpose of using in school mathematics. The tem1 corresponding halpunri is 'bohap', however, in this paper it is suggested to use halpunri after defining it instead of using bohap. In that halpunri is an acclimatized term of bohap, and considered as a biyoul not as a way to indicate biyoul, it is suggested to use "biyoul when the quantity to be a base is considered 10." as a definition of halpunri. It is suggested to see hal, pun, and ri are units for halpunri, and call decimal 0.1 expressing biyoul 1 hal, decimal 0.01 expressing biyoul 1 pun, decimal 0.001 expressing biyoul 1 ri respectively.

• Journal of the Korean School Mathematics Society
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• v.25 no.4
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• pp.375-396
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• 2022

In this paper, to provide an idea for the 2022 revised mathematics curriculum by restructuring the content of the 2015 mathematics curriculum, the content elements of recurring decimals of textbooks, which showed differences in the curriculum of Korea and Japan, were analyzed. As a result of this study, in Korea, before the introduction of the concept of irrational numbers, repeating decimals were defined in the second year of middle school, and the relationship between repeating decimals and rational numbers was dealt with. In Japan, after studying irrational numbers in the third year of middle school, the terminology of repeating decimals is briefly dealt with. Then, when learning the concept of limit in the high school <Mathematics III> subject, the relationship between rational numbers and repeating decimals is dealt with. Based on the results of the study, in relation to the optimization of the amount of learning in the 2022 curriculum revision, implications for the introduction period of the circular decimal number, alternatives to the level of its content, and the teaching and learning methods were proposed.

• Journal of Educational Research in Mathematics
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• v.22 no.3
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• pp.371-386
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• 2012

This research assumes two facts; One is that the mathematics curriculum reform of Korea in 2007 would have been better if it had been a revise instead of deletion and the other is that every school curriculum should be of help for the sound enhancement of all 6 types of logical concepts that appears in the Piaget's theory of cognitive development. What our mathematics curriculum has introduced as a correlation is not the one of the 6 logical concepts that Piaget had thought in his theory of cognitive development. In order to see the reason of that difference, we check the difference of jargons among the academic denominations, such as Pedagogy, Psychology and Statistics through their college textbooks. Because we suppose that the mismatch of 'Piaget's vs Curriculum's correlation' is due to the mis-communication among scholars of different academic denominations. With what we learned via the above analytical study leaned on an abduction and to get some idea on them for the potential future construction of school Statistics curriculum when it should be returned, which we believe so, we observe two foreign highschool mathematics textbooks briefly. As a result of the study, we found that the concept of correlation in Pedagogy contain all kinds of relation while it was stingy in Statistics. Here we report a main result; A careful discretion among similar concepts of correlation, such as linear relationship(correlation), stochastic change along conditions(dependence), central comparison(other relation) are needed for the potential future curriculum. And if new curriculum contains the linear correlation then we strongly recommend to involve the regression line to connect it with the linear function chapter.

• The Korean Journal of Applied Statistics
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• v.18 no.1
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• pp.197-210
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• 2005

In Korea, mathematics education has been taken according to the 7th national mathematics curriculum renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and Statistics has been carried out as a part of this curriculum. We analyze and compare mathematics 1 textbooks for 11-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in accordance with textbooks and central limit theorem of sample mean under normal population.

• School Mathematics
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• v.4 no.2
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• pp.247-260
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• 2002

In recent elementary school mathematics a word 'stipulation' newly appears. The word is used instead of definition. However, there seems to be some differences between definition and stipulation. So, in this paper we investigate those differences through the concept 'function of definition'. In school mathematics textbooks there are definitions which carry out special functions In mathematical contexts or situations. We can say that we understand those definitions, only if we also understand the functions of definitions in those contexts or situations. Functions of definition are classified as, stipulation-function, discrimination-function, analysis-function, demonstration-function, improvement-function. With these analyses we made a frame for investigating the characteristics of the definitions in recent elementary school mathematics textbooks. As a result of analysing functions of definition we found that generally speaking, stipulation-function is excessively emphasized and the other functions of definition are not explained adequately in school mathematics textbooks. So it is required that the textbook authors should be careful not to miss an opportunity for the functional understanding and the mathematics teachers should be aware of the functions of definitions. Finally, we comment that textbook author, teacher, and researcher should be careful in using the word 'stipulation' instead of definition, because, although there are various functions of definitions, students might ream only stipulation-function.

• Journal for History of Mathematics
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• v.21 no.1
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• pp.29-44
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• 2008

Fuzzy logic is introduced by Zadeh in 1965. It has been continuously developed by many mathematicians and knowledge engineers all over the world. A lot of papers concerning with the history of mathematics and the mathematical education related with fuzzy logic, but there is no paper concerning with Zadeh. In this article, we investigate his life and papers about fuzzy logic. We also compare two-valued logic, three-valued logic, fuzzy logic, intuisionistic logic and intuitionistic fuzzy sets. Finally we discuss about the expression of intuitionistic fuzzy sets.

• Journal of the Korean School Mathematics Society
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• v.24 no.4
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• pp.407-428
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• 2021

This study compares and analyzes the mathematics assessment items of the middle school's national-level academic achievement tests in Korea and Japan, recently revised as a competency-focused curriculum. By comparing and analyzing the assessment items in each country, the analytic framework is integrated into content areas, contexts, and competencies. The characteristics of each country's assessment items developed for each content area were analyzed using the framework. We suggested some implications on developing and improving national-level academic assessment items.