• Education of Primary School Mathematics
• /
• v.21 no.2
• /
• pp.111-130
• /
• 2018

In this study, I compared and analyzed the contents of Korean, Japanese, Singapore, American, and Finnish textbooks about fraction which is one of the important and difficult concepts in elementary school mathematics. This is aimed to get the implications for meaningful fractional teaching and learning by analyzing the advantages and disadvantages of the methods and time of introducing the concept because fraction has the diversity of the sub-concepts and the introducing methods or process. As a result of the analysis, the fraction was introduced as part-whole(area) in all five countries' textbooks, but the use of number line, conversion between improper fraction and mixed number, whether to deal with part-whole(set) model. Furthermore, there are differences in the methods in obtaining of the equivalent fraction and the order of arrangement in comparison of fraction. Through this analysis, we discussed the reconsideration of the introducing contexts of fractions, the use of number line when introducing fractions, and the problem of segmentation and classification of contents.

• Communications of Mathematical Education
• /
• v.21 no.2 s.30
• /
• pp.199-225
• /
• 2007

We can use R package as a statistical package on the education of probability and statistics in elementary, middle and high school mathematics. R is an interactive mode package and graphical presentation tools in R are powerful. The greatest advantage is that R is a general public license package. We need to consider R package as a standard statistical package on the education of probability and statistics in elementary, middle and high school mathematics.

• Education of Primary School Mathematics
• /
• v.25 no.2
• /
• pp.161-178
• /
• 2022

Korean uses a dual numeral system consisting of native and Chinese words. This dual numerical system is customarily selected in real life, mixed with two methods, or irregularly transformed. Therefore, the burden on both students and teachers is increased in the learning guidance process of numeral. This study recognized the need to improve the difficulty of learning guidance due to the dual numeral system. To this end, the context in which the numeral system method is selected, various modified cases, and related guidance contents of the current curriculum and textbooks were analyzed and organized. As a result of the analysis, there were characteristics of the selection and deformation of the numeral system method, which appears according to the actual situation using numerical. However, the criteria for characteristics were ambiguous and there were no specific guidance guidelines in the curriculum and textbooks. In this case, since the role of the teacher is more important, the teacher should be aware of the detailed characteristics of the actual situation related to the dual numeral system and let the student understand through experience and practice on various aspects of the use of the dual numeral system.

• School Mathematics
• /
• v.12 no.1
• /
• pp.61-77
• /
• 2010

Understanding of mathematical terms plays one of the key factors in understanding and utilizing related mathematical contents. In order to understand such terms well, it is necessary to define and use them appropriately. In this study, we first investigate specific instances of inappropriate using or representing mathematical terms in elementary school mathematics textbooks from a mathematical point of view and a consistent point of view. We then suggest implications for using and representing such mathematical terms appropriately.

• Journal of Educational Research in Mathematics
• /
• v.27 no.1
• /
• pp.69-88
• /
• 2017

One of the most important activities in the process of mathematical modeling is to build models by conjecturing mathematical rules and principles in the real phenomena and to validate the models by considering its validity. Due to uncertainty and ambiguity inherent real-contexts, various strategies and solutions for mathematical modeling can be available. This characteristic of mathematical modeling can offer a proper environment in which creativity could intervene in the process and the product of modeling. In this study, first we analyze the process and the product of mathematical modeling, especially focusing on the students' models and validating way, to find evidences about whether modeling can facilitate students'creative thinking. The findings showed that the students' creative thinking related to fluency, flexibility, elaboration, and originality emerged through mathematical modeling.

• Journal of Gifted/Talented Education
• /
• v.17 no.1
• /
• pp.1-26
• /
• 2007

The purpose of this study was to develop a math test for identification of the mathematically gifted on the basis of their math creative problem solving ability and to evaluate the goodness of the test. Especially, testing reliability and validity of scoring method on the basis of fluency only for evaluation of math creative problem solving ability was one of the main purposes. Ten closed math problems and 5 open math problems were developed requiring math thinking abilities such as intuitive insight, organization of information, inductive and deductive reasoning, generalization and application, and reflective thinking. The 10 closed math test items of Type I and the 5 open math test items of Type II were administered to 1,032 Grade 7 students who were recommended by their teachers as candidates for gifted education programs. Students' responses were scored by math teachers. Their responses were analyzed by BIGSTEPS and 1 parameter model of item analyses technique. The item analyses revealed that the problems were good in reliability, validity, item difficulty and item discriminating power even when creativity was scored based on the single criteria of fluency. This also confirmed that the open problems which are less-defined, less-structured and non-entrenched were good in measuring math creative problem solving ability of the candidates for math gifted education programs. In addition, it was found that the math creative problem solving tests discriminated applicants for the two different gifted educational institutions.

• Journal of Educational Research in Mathematics
• /
• v.26 no.1
• /
• pp.1-22
• /
• 2016

This study aims to design an exemplification task to facilitate the students' creative thinking, and to investigate mathematical creativity which emerges from exemplification. In particular, we aim to identify the ways to design exemplification tasks which encourage creative thinking, and characterize mathematical creativity fostered by exemplification. The findings showed that the students' creative thinking related to fluency, flexibility, elaboration, and originality emerged through exemplification.

• Journal of Educational Research in Mathematics
• /
• v.13 no.1
• /
• pp.95-106
• /
• 2003

This study attempts to identify the characteristics of the structure of mathematics textbooks of North Korean high schools. The previous researches on the mathematics textbooks of North Korea show that North Korean mathematics textbooks have a linear structure, which is different from a spiral structure of South Korean textbooks. However, this study found that the textbooks of North Korea published after 1994 indicate that some sections reveal a spiral structure. In addition, most sections of North Korean mathematics textbooks are collectively composed, particularly so in the section of algebra.

• Journal of Elementary Mathematics Education in Korea
• /
• v.21 no.3
• /
• pp.485-503
• /
• 2017

'Saembon' was elementary mathematics textbook in the Period of Syllabus in Korea. First I classified Saembons in five groups. And then I regrouped them into two kinds. One kinds were published under U.S. Army Military Government, and other kinds were made under Republic of Koera. Two kinds of Saembon were very different in several aspects. I showed how they were different through real examples. Finally I tried to explain that Saembons under Republic of Koera were better than Saembons under U.S. Army Military Government.

• Journal of Educational Research in Mathematics
• /
• v.23 no.4
• /
• pp.567-584
• /
• 2013

In school mathematics, the concept of continuous functions has been intuitively taught. Many researches reported that many students identified the continuity of function with the connectedness of the graphs. Several researchers proposed some ideas which are enhancing the formal aspects of the definition as alternative. We analysed the historical developments of the concept of continuous functions and drew pedagogical implications for the intuitive teaching of continuous functions from the result of analysis.