• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.181-204
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• 2014

This research aims to have some implications for revision of curriculum and textbooks by analysing connections between the 2009 revised national curriculum and its textbooks in elementary school mathematics. The results of analyses for 3~4 grades can be summarized in four aspects: Firstly, we noticed that the reconstructed achievement criteria were reflected properly in the textbooks except for use of calculators in 'Numbers and Operations'. Secondly, the analysis of connections between unit objectives of textbooks and the reconstructed achievement criteria suggests that 10 units must receive attention. Especially, the range of decimal numbers for adding and subtracting needs to be corrected. Thirdly, mathematical terms and symbols excluding 'unit fraction' were found in the textbooks. Finally, mathematical processes were also fully reflected in the textbooks. However 'simplifying' as a strategy for problem solving was only missing. This result shows good or poor connections between the curriculum and its textbooks, therefore it is expected to be used effectively to revise the national curriculum for mathematics and its textbooks.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.369-392
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• 2023

Equity in mathematics education focuses on the relationship between social inequality caused by factors including culture and race. Equity in mathematics education has recently been recognized as one of the important issues of mathematics education and may provide grounds for setting the new direction of mathematics education for the future society. However, research on mathematics education equity in South Korea is still insufficient. The purpose of the paper is to provide implications for mathematics education research by reviewing the the literature regarding mathematics education equity. Focusing on 195 previous studies, I analyzed the significance of discussions on mathematics education equity in mathematics education, the concept of mathematics education equity, and research questions. In addition, I divided the previous studies into five categories based on their research questions: mathematics teachers, mathematics curriculum, mathematics classrooms, mathematics assessment, and socio-cultural environments surrounding mathematics classrooms. The analysis of the study are expected to provide implications in terms of new research questions and methods to domestic mathematics education researchers.

• School Mathematics
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• v.19 no.2
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• pp.385-403
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• 2017

This paper analyzed the units of capacity and weight in the mathematics textbooks in terms of units, relationship between the units, and the need of standard units. The results of this study showed that there were differences in the representation of the units, the notation of units, the types of units, and the representation of basic amount of units in the mathematics textbooks developed by the 5th, 6th, 7th, 2007 revised, and 2009 revised national mathematics curriculum respectively. The mathematics textbook developed by the 2009 revised mathematics curriculum was found to be generally consistent with the International System of Units (SI). However, the way of defining 1kg through the weight of water was found to be different from the SI. The relationship between the units was consistently described only with a written sentence in the previous mathematics textbooks, but the 2009 revised mathematics textbook presents questions and pictures to foster students' understanding of the relationship. Finally, activities and questions are required for students to recognize the universality and convenience of the standard units through the inconvenience of arbitrary units. Based on these results, this paper provides implications for the development of mathematics textbooks in the units of capacity and weight.

• School Mathematics
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• v.17 no.2
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• pp.257-272
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• 2015

This study is related to reinforcement of the continuity between Nuri curriculum and elementary mathematics curriculum emphasized by 2015 revised national curriculum. Considering that teachers tend to rely much more on textbooks than on curriculum, we analyzed the continuity between math-related activities of Nuri manuals for teachers and the elementary mathematics textbooks and aimed to suggest several ways for securing the continuity based on the result of analyses. To do this, we compared and analyzed Nuri manuals (for ages three to five) for teachers and the first and second grade mathematics textbooks in three aspects: mathematical contents, mathematical terms and symbols, and mathematical processes. We adopted the same analysis framework including continuity, discontinuity and reverse continuity as the study on the continuity between Nuri curriculum and elementary mathematics curriculum. As a result, the results of analyses were revealed in three aspects, respectively. We also discussed the results and suggested some implications for securing the continuity of Nuri manuals for teachers and the elementary mathematics textbooks and for revising curriculum and its materials such as textbooks, workbooks or manuals for teachers.

• School Mathematics
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• v.19 no.2
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• pp.249-265
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• 2017

The purpose of this study was to analyze the research trends of mathematics textbooks to provide implications for future textbook research. For this purpose, 123 research papers related to mathematics textbooks, published in seven professional domestic journals during recent five years, were selected. The papers dealing with Korean mathematics textbooks were analyzed by school levels (i.e., elementary, middle, or high school), mathematics content areas, analytic methods, and implications. The results of this study showed that many studies analyzed elementary mathematics textbooks, specifically in the content strand of number and operations. The frequent analytic foci were given to content areas along with mathematical rigor or the development of alternative mathematics textbooks. In comparison with the previous research trend, there was an increasing number of studies in which detailed implications or ways of re-constructing mathematical topics were discussed on the basis of thorough analysis of textbooks. This study also included an analysis of papers comparing Korean mathematics textbooks with foreign counterparts or analyzing foreign mathematics textbooks to elicit implications for Korean mathematics textbooks in terms of reasons of the comparison, school levels, and analytic foci. This paper closes with implications for textbook research.

• The Mathematical Education
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• v.58 no.4
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• pp.609-625
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• 2019

While research projects and reports on values in mathematics education increased in the international community over the years, little has been known about the topic and research findings in South Korea. The purpose of this study was to analyze the trends of value research in mathematics education focused on the "mathematical values" and "mathematics educational values" as defined by Bishop (1996) through a systematic review of the literature. A total of 66 research papers related to value research were analyzed in terms of the following four areas: research period, projects, target research population, and research method. The results of this study showed that the value research that was carried out was project-driven. There was an increase in both the number of papers published and countries that were studied, which encouraged the continuous expansion of the field. Furthermore, the topic of mathematics educational values was studied more than mathematical values. It was also observed that the survey method, among others, was frequently used to explore mathematics educational values of middle school teachers. Finally, research methods related to the measurement of value were gradually refined over time. Based on these results, this paper describes implications to conduct and advance value research in South Korea in various aspects, including in the field of mathematics education.

• Journal of the Korean School Mathematics Society
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• v.16 no.1
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• pp.265-287
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• 2013

The purpose of this study was to analyze the trends of domestic research on teacher knowledge in mathematics in terms of its conceptualizations of teacher knowledge, topics, methods, subjects, and content domains. For this purpose, the papers published in 9 professional journals during the recent 14 years (1999-2012) were analyzed by 5 criteria. The results of this study showed that the concept of PCK was the most frequent, whereas its subcategories appeared in different forms. The most frequent research topic was survey of teacher knowledge. The qualitative research methodology was more frequently used than the quantitative methodology, whereas mixed one was hardly used. The subjects for research included a little more elementary school teachers than secondary counterparts, but did similarly both pre-service and in-service teachers. Whereas both the research on number and operations in elementary mathematics education and the research on function in secondary were active, the rest of content domains were not. On the basis of these results, this paper provides several implications for future research direction in teacher knowledge in mathematics.

• Journal for History of Mathematics
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• v.25 no.4
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• pp.83-99
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• 2012

The conic sections are defined as algebraic expressions using the focus and the directrix in the high school curriculum. However it is difficult that students understand the conic sections without environment which they can manipulate the conic sections. To make up for this weak point, we have found the evidence for generating method of a conic section through a sundial and investigated the history of terms 'focus', 'directrix' and the tool of drawing them continuously.

• School Mathematics
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• v.13 no.2
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• pp.245-266
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• 2011

In this study, we surveyed on the 3rd and 4th grade teachers' perception and teaching practices towards open-ended question in the elementary mathematics textbook in the revised 7th curriculum. According to the result, teachers understood the purpose of open-ended question in general, but they recognized some problems in terms of open-ended question itself, difficulties found when they dealt with open-ended question in their classes, teacher's guide and teacher training. This research suggests ways of improvement of open-ended question on the basis of the survey results.

• Journal of People, Plants, and Environment
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• v.23 no.3
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• pp.321-332
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• 2020

Background and objective: The concept of 'money' in the numbers and operations domain is a fundamentally necessary domain of economic life. This study was conducted to examine the effects of a horticulture-mathematics integration program on mathematical attitude and money calculating ability of high school students with intellectual disabilities. Methods: We analyzed the changes in the mathematical attitude and money calculating ability of students with mild intellectual disabilities in S special school in the city of D, Republic of Korea, with 12 students in the control group and 12 students in the experimental group, from August 27 to October 29, 2019. Results: The results of the comparison showed no statistically significant changes in the three items of mathematical attitude for the control group, while the experimental group, which took part in the horticulture-mathematics integration program, showed statistically significant differences across all three items, such as self-concept about the subject (p = .003), attitude toward the subject (p = .004), and study habit related to the subject (p = .012). The horticulture-mathematics integration program, which was developed by integrating horticultural activities and the mathematics curriculum, used plants and horticultural activities to provide students with positive experiences in mathematics. These included the sense of closeness, curiosity, interest, attention, and enjoyment, leading to positive changes in mathematical attitude. In terms of money calculating ability, both the control group and experimental group showed statistical differences across the three items, but the experimental group showed greater degrees of increase, 15.0 or more, in the scores compared to the control group. Conclusion: These results suggest that utilizing horticultural materials as a part of purchase learning programs with elements of money calculation chapters in the mathematics curriculum could lead to the improvement of students' ability in money calculation. These positive changes are thought to be related to the high degrees of interest in horticulture among students, which led to active participation in the program and enabled the simple and repeated purchase activities in the program to generate positive changes in the money calculation ability of the students.