• Journal for History of Mathematics
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• v.23 no.3
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• pp.141-168
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• 2010

Mathematical communication is necessary to exchange mathematical idea among participants in teaching-learning process. The promotion of mathematical communication competence is clearly stated in many parts of the 2007 revised curriculum. As a result, mathematical communication tasks are contained in 'high school Mathematics' textbook. At this point of time when increasing importance of mathematical communication is realized, we will check over mathematical communication and analyze communicative tasks corner in 'high school Mathematics' textbook in this paper And thereby we hope this study help prepare for practical communicative tasks corner suggesting a way for invigoration of mathematical communication.

• School Mathematics
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• v.8 no.4
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• pp.397-415
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• 2006

This paper is to find out the reason why students often make mistakes with 0 during computation and to get some instructional implication. For this, history of 0 is reviewed and mathematics textbook and workbook are analyzed. History of 0 tells us that the ancients had almost the same problem with 0 as we have. So we can guess children's problems with 0 have a kind of epistemological obstacles. And textbook analysis tells us that there are some instructional problems with 0 in textbooks: method and time of introducing 0, method of introducing computational algorithms, implicit teaching of the number facts with 0, ignoring the problems which can give rise to errors with 0. Finally, As a reult of analysis of Japanese and German textbooks, three instructional implications are induced:(i) emphasis of role of 0 as a place holder in decimal numeration system (ii) explicit and systematic teaching of the process and product of calculation with 0 (iii) giving practice of problems which can give rise to errors with 0 for prevention of systematical errors with 0.

• Journal of the Korean School Mathematics Society
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• v.24 no.4
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• pp.429-447
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• 2021

This study explored the changes in storytelling styles in high school first-year textbooks between the 2007 Revised National Curriculum of Mathematics and the 2015 Revised National Curriculum of Mathematics. The results are indicated as follows. First, the quantitative aspect of storytelling gradually increased in the textbook aligned with the 2015 Revised National Curriculum of Mathematics. Second, as for types of storytelling, the real-life connection and academic convergence types appeared most frequently, followed by mathematical history inquiry types, decision-making types, and tool utilization types. Third, storytelling appeared most frequently in 'main-body' of a lesson in terms of textbook content composition, followed by 'introduction', 'lesson materials', and 'evaluation'. This study implies that more diverse stories need to be developed; including the mathematical history inquiry types, the decision-making types and the tool use types. Textbooks should be organized not that the piecemeal storytelling presented in 'introduction' of a lesson but that a coherent story penetrates the entire unit to be utilized until the end of the lesson.

• Education of Primary School Mathematics
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• v.21 no.1
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• pp.19-37
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• 2018

The purpose of this study was to analyze the multicultural mathematics education factor shown in mathematics textbook. For this purpose, 2015 revised curriculum, mathematics textbook and teacher's guide book of first and second grade were analyzed using framework for multicultural mathematics education factor. The results of this study revealed that the general guideline of the national curriculum included 'culture identity', 'diversity of knowledge' and 'social problem solving' but the curriculum of mathematics excluded 'culture identity'. Nevertheless, mathematics textbook showed various multicultural mathematics education factor except 'social problem solving'. But there are several kinds of problem. Fist, application level of multicultural mathematics education factor was mostly low. Second, history of mathematics and culture aspects were Europocentric. Thirds, characters in mathematics text book were excessively standard. there weren't other ethnicity, the disabled, multicultural students. On the basis of these results, this paper includes several implications for the future multicultural mathematics education in elementary school.

• Journal of Science Education
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• v.44 no.2
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• pp.145-156
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• 2020

The purpose of this study is to analyze the science history materials presented in middle school 'Science' textbook according to the 2015 revised curriculum. The subjects of this study were 14 middle school 'Science' textbooks. The analysis used the three-dimensional framework. The results of analysis show that the number of science history materials presented in textbooks tends to increase as the grade goes up. It was also found that science history materials were presented in a specific unit for each grade. The three-dimensional analysis of science history materials showed that conceptual-fundamental-discovery/device types were most commonly presented in all grades. At the instruction context level, the conceptual context was the most common, and the basic role was the main at the role level. The discovery/device type was the most common type of presentation. The results of the study show that the science history materials presented in science textbooks were concentrated in some areas. Also, the instruction context and role were concentrated in some factors in terms. This suggests that various science history materials need to be developed in the future. It is also necessary to explore concrete methods to ensure that science history materials presented in textbooks can be used in various roles in different contexts.

• Journal of Fisheries and Marine Sciences Education
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• v.27 no.5
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• pp.1343-1351
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• 2015

Though the history of fisheries business administration education has it's own uniqueness, the research or study of that still insufficient. And in spite of the structural shift of society and environmental diversity, there's few research that analyzing or examining the curricular constitution and change recently. The process of this research was implemented with investigating the objective and content domains concerning marine education in the fisheries and marine curriculum and changes of them. The changes of fisheries business administration education reviewed and analyzed in the view point of construction of the textbook, contents of the each changes and recency comparison of tables and figures of the high school textbook of the fisheries business administration general. The results show that most of the changes have been reflected by the demands of the society including fisheries related law, policy and distribution networks. But there are still some errors and necessity of improvements in data and descriptions. The results of this study would help develop sustainable curriculum design for further changes and give more effective guidelines for identifying the core of fisheries business administration education.

• Journal of The Korean Association For Science Education
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• v.22 no.3
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• pp.478-489
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• 2002

In this study, we identified the conceptions of heat and temperature on a basis of the science history, and analyzed the explanation types in elementary, and secondary school science textbooks. From these data, we tried to discover the cause of students' misconceptions. The results revealed that the explanation types of the textbooks don't include modem sight. Different conceptions developed in different era mixed in the textbooks. We can infer that students who learn heat and temperature concept by the textbooks could have misconceptions because of the above problems.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.463-485
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• 2011

This study was to investigate the effects of mathematical history-based mathematics teaching on mathematical communication and attitudes of elementary students, through selecting mathematical history content to apply to elementary mathematics and devising an instruction model to use effectively. For this purpose, while the experimental group received instruction using mathematical history and the comparative group lecture-based instruction using the common textbook, both quantitative and qualitative methods were employed to analyze gathered data. To conclusion, first, instructions using mathematical history were helpful for increasing the student's participation in communication, and secondly helped the students justify their opinions to others with mathematical logic.

• Journal for History of Mathematics
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• v.28 no.4
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• pp.191-204
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• 2015

The reason of the confusion of learners about the logic concepts such as implication, necessary condition and sufficient condition can be analyzed from the point of view of history of logic, discrepancy between ordinary language and formal logic, and reification which occurs in the process of cognition of discursive object and also indicates the necessity of a research. This study analysed the difficulties related to study and implication concept and attempted to the reflection of textbook and curriculum. Not that ordinary language makes the introduction of formal language easier, but that this study discussed the possibilities ordinary language intervenes the learning of formal language. This study additionally intended to understand learning difficulties of concrete subjects, abstract subjects and the gap between primary object and discursive object by understanding the process of sagging, encapsulating and reifying.

• Journal for History of Mathematics
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• v.30 no.1
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• pp.1-15
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• 2017

The original proof-argument of Riemann in 1851 for the Riemann mapping theorem, one of the most central theorems in Complex analysis, was found faulty and essentially buried underneath the proof by $Carath{\acute{e}}odory$ of 1929, now accepted as the "textbook" proof. On the other hand, the original Riemann's "proof" was rediscovered and made correct by R.E. Greene and the author of this article in 2016. In this article, we try to shed lights onto the history related to the Riemann mapping theorem and the surrounding developments of 1850-1930 by reflecting upon the main flow of ideas and methods of the proof by R. E. Greene and K.-T. Kim.