• Communications of Mathematical Education
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• v.28 no.4
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• pp.513-528
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• 2014

This study is intended to examine 36 in-service secondary school mathematics teachers' conceptions of proof in the context of mathematics and mathematics education. The results suggest that almost teachers recognize the role as justification well but have the insufficient conceptions about another various roles of proof in mathematics. The results further suggest that many of teachers have vague concept-images in relation with the requirement of proof and recognize the insufficiency about the actual teaching of proof. Based on the results, implications for revision of mathematics curriculum and mathematics teacher education are discussed.

• School Mathematics
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• v.18 no.2
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• pp.301-322
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• 2016

Even though measurement is an important strand of elementary mathematics education, there has been lack of research in this field. This study analyzed topics related to length and time in a series of mathematics textbooks aligned to 2007 or 2009 revised mathematics curriculum. The analysis was focused on three aspects: (a) overall instructional components of measurement, (b) instructional components specific to the topics of measurement, and (c) key competencies in mathematics. The results of this study showed that many topics dealing with length and time were represented with relation to real-life contexts or other subjects. The meanings of measurement terms and the necessity of calculation were well explained but other aspects still had room for improvement when it comes to the necessity of measurement units, appropriate choice of units, and use of students' common misconceptions. Another noticeable result was that problem solving, communication, and reasoning among key competencies in mathematics have been emphasized in the mathematics textbooks. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with length and time.

• Communications of Mathematical Education
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• v.37 no.4
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• pp.635-652
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• 2023

This study conducts a comprehensive analysis of the curricular progression of the concepts and learning sequences of 'lines', specifically, 'line segments', 'straight lines', and 'rays', at the elementary school level. By examining mathematics curricula and textbooks, spanning from 2nd to 7th and 2007, 2009, 2015, and up to 2022 revised version, the study investigates the timing and methods of introducing these essential geometric concepts. It also explores the sequential delivery of instruction and the key focal points of pedagogy. Through the analysis of shifts in the timing and definitions, it becomes evident that these concepts of lines have predominantly been integrated as integral components of two-dimensional plane figures. This includes their role in defining the sides of polygons and the angles formed by lines. This perspective underscores the importance of providing ample opportunities for students to explore these basic geometric entities. Furthermore, the definitions of line segments, straight lines, and rays, their interrelations with points, and the relationships established between different types of lines significantly influence the development of these core concepts. Lastly, the study emphasizes the significance of introducing fundamental mathematical concepts, such as the notion of straight lines as the shortest distance in line segments and the concept of lines extending infinitely (infiniteness) in straight lines and rays. These ideas serve as foundational elements of mathematical thinking, emphasizing the necessity for students to grasp concretely these concepts through visualization and experiences in their daily surroundings. This progression aligns with a shift towards the comprehension of Euclidean geometry. This research suggests a comprehensive reassessment of how line concepts are introduced and taught, with a particular focus on connecting real-life exploratory experiences to the foundational principles of geometry, thereby enhancing the quality of mathematics education.

• Education of Primary School Mathematics
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• v.24 no.1
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• pp.21-41
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• 2021

Despite the necessity and significance of mathematical competencies in the 2015 revised mathematics curriculum, there has been lack of studies analyzing textbooks in which such competencies are intended in detail through various tasks. Given this background, this paper analyzed how mathematical competencies and their sub-elements have been represented in the mathematics textbooks for third and fourth grade. The findings of this study showed that 'communication' was the most prevalent mathematical competence, followed by 'reasoning', 'creativity and integration', 'information processing', 'attitude and practice', and 'problem solving' in order. This study also explored the characteristics of mathematical competencies in the textbooks by analyzing which sub-elements per competence were popular. With illustrative examples, this paper is expected to provide for textbook developers with implications on how to represent mathematical competencies throughout the textbooks.

• Education of Primary School Mathematics
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• v.22 no.4
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• pp.239-259
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• 2019

The 2015 revised mathematics curriculum specified software education as a mandatory curriculum amid a trend in which the software environment was extended to daily life due to the fourth industrial revolution. It also calls for a paradigm shift in lessons that incorporate learning and evaluation by specifying a process-oriented assessment. This study focused on addition and subtraction classes based on computational thinking skills that integrate mathematics learning and evaluation. Two fourth grade classes of elementary schools in Seoul were selected to conduct a pre- and post- test of metacognition and mathematics achievement through quantitative research. Also, a mixed study was conducted to analyze students' activities and opinions in parallel. The results of the study confirmed that the computational thinking-based classes, which incorporate mathematics learning and evaluation, had a positive effect on the metacognition of elementary school students and the improvement of their achievement scores. In addition to those identified in this study, further studies on other factors are proposed.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.549-568
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• 2010

This paper analyzed the topics dealing with three-dimensional figures in most recently revised mathematics textbooks on the basis of the national mathematics curriculum announced in 2007. First, the overall content was analyzed with regard to how textbooks were aligned to the curriculum as well as how the main elements including the definitions of specific solid figures were introduced and developed in different units across grades. Second, the instructional methods of three-dimensional figures were analyzed, which specifically revealed the lack of inquiry phase before introducing cones and pyramids. Third, the instructional methods to foster students' spatial sense with solid figures were analyzed, which showed the increased focus on the prediction and representation of figures. It is expected that the issues and suggestions from this study are informative revising curricular materials and applying them to the classroom.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.413-430
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• 2013

The purpose of this study was to analyze mathematical storytelling in Korean elementary mathematics textbooks and propose some applications for better storytelling, Storytelling strategies were introduced for enhancing students' understanding on mathematical concepts and improving students' attitudes toward mathematics. For this study, the researcher analyzed the 2nd grade mathematics textbook that employs storytelling strategies. The results are as follows. First, current storytelling textbook chapter is designed to appreciate students' intellectual autonomy. Second, current storytelling textbook chapter includes the storytelling that helps understand mathematical concepts and exercise mathematical skills. Third, current storytelling textbook chapter is designed for enhancing students' interest and helping students' character education. The researcher suggested the followings. First, a long term field-based research should be continued for more improved mathematical storytelling materials. Second, a digital format storytelling also needs to be developed as an alternative strategy of mathematical storytelling, which reinforces interactions between teller and listeners.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.289-304
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• 2015

In this study, connections between the NURI curriculum for 5 years old children and the contents of teacher's manual books according to it and the contents of elementary 1st grade mathematics curriculum and textbooks was analyzed to find the implications that can help to link the two curricula in the development of kindergarten and elementary school mathematics curriculum. The five following implications could be obtained from the analysis. First, it is necessary to connect the contents of the NURI curriculum for 5 years old children which were completed in that curriculum like 'spatial relation'in geometric figure domain and 'data collection'in probability and statistics domain to the contents of the 1st grade curriculum. Second, in the case of the contents not connected between the NURI curriculum for 5 years old children and the contents of elementary 1st grade mathematics curriculum but connected between the NURI curriculum for 5 years old children and the contents of elementary 2nd ~6th grade mathematics curriculum, it is necessary to re-adjust the hierarchy based on one of the curricula. Third, it is necessary to check whether $\ll$K-teacher's manual book$\gg$ obey the NURI curriculum for 5 years old children or not. Fourth, it is necessary to review the related elements of the NURI curriculum for 5 years old children and elementary 2nd ~6th grade mathematics curriculum in [activity] in $\ll$K-teacher's manual book$\gg$. Fifth, it is necessary to handle the mathematics contents explicitly and systematically in [activity] in $\ll$K-teacher's manual book$\gg$.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.33-52
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• 1997

We can explain open education by means of pulling down the straight and narrow viewpoint of our educational system. We should incorporate various thoughts and attempts to the most practical educational classrooms and learn to cope flexibly with the several educational problems. On the other hand, Britain for the last fifty years have adapted progressive method in most schools, but with no visible results. The children's fundamental mathematical abilities have not increased. Therefore, mathematical educators in U. S. and Britain proposed the following three facts: First, we need to find out precisely what is involved in applying mathematical skills to practical situations; Secondly, we need to find out why this kind of mathematical understanding is so difficult for so many children; And, finally, we need to know what methods can be used to help children attain this wider mathematical understanding. Thus, we have analyzed and studied the British primary mathematics textbooks < stage 1 >, < stage 3 >, < stage 4 > and < stage 5 > from the open educational viewpoint and the above proposals. As result, a central point was that British have well incorporated into their primary mathematics textbooks with the variety of programs using everyday problems.