• School Mathematics
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• v.13 no.2
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• pp.323-343
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• 2011

The study of 2011 education course revision proposal suggests that middle school level function shall be taught with emphasis on its role as tool to understand the situations of actual world, and the concept shall be extended in high school into formularized setting that integrate various fields based on middle school function. In revising education course, the circumstances of other countries are desired to be considered to keep abreast of international standard education courses. In this study, the textbooks of Gesamtschule a general school a school type similar to the education system in Korea among various school forms of Germany were selected to look into the characteristics of function introduction and teaching & learning in Germany, and the textbooks were compared and analyzed with those of Korea. As a result of comparison and analysis on the system and contents with emphasis on function area, German textbooks differed from the 7th revised education course on the introduction of function concept, contents development method and method of instructing on graph etc. Such differences are anticipated to serve as data for reference in the development of revised education courses and textbooks in Korea.

• Communications of Mathematical Education
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• v.31 no.4
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• pp.433-456
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• 2017

The purpose of this study is to suggest the directions for the development and improvement of mathematics textbooks in Korea by examining these characteristics of German textbooks. As a result, German mathematics textbooks were free for unit order and names of units. German mathematics textbooks defined a function for various real life and natural phenomena, relation after intuitively knowing the correspondence between two variables through a graph. In addition, it exercises interpreting the characteristics and information of the graph, guides the activity of graphing various functional situations, and contents to convert various expression methods such as graphs, tables, relational expressions, mathematical terms and sentences. In the German mathematics textbooks, mathematical expressions of the functional relations of the materials in various contexts of daily life, and the activities of predicting and predicting the future, were made to feel the usefulness of mathematics. It has raised functional thinking and provided problems related to other subjects, thus enhancing connectivity with other disciplines. It also included open issues and issues that required mathematical communication.

• Proceedings of the Korean Society for Environmental Edudation Conference
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• 1991.12a
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• pp.77-112
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• 1991

• The Mathematical Education
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• v.62 no.2
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• pp.269-287
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• 2023

Matrix theory is widely used not only in mathematics, natural sciences, and engineering, but also in social sciences and artificial intelligence. In the 2009 revised mathematics curriculum, matrices were removed from high school math education to reduce the burden on students, but in anticipation of the age of artificial intelligence, they will be reintegrated into the 2022 revised education curriculum. Therefore, there is a need to analyze the matrix content covered in other countries to suggest a meaningful direction for matrix education and to derive implications for textbook composition. In this study, we analyzed the German mathematics curriculum and standard education curriculum, as well as the matrix units in the German Hesse state mathematics curriculum and textbook, and identified the characteristics of their content elements and development methods. As a result of our analysis, it was found that the German textbooks cover matrices in three categories: matrices for solving linear equations, matrices for explaining linear transformations, and matrices for explaining transition processes. It was also found that the emphasis was on mathematical reasoning and modeling when learning matrices. Based on these findings, we suggest that if matrices are to be reintegrated into school mathematics, the curriculum should focus on deep conceptual understanding, mathematical reasoning, and mathematical modeling in textbook composition.

• The Journal of the Korea Contents Association
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• v.13 no.3
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• pp.511-519
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• 2013

The purpose of this paper is to examine how European textbooks reflect Seoul nowadays. The study focuses on the trend of textbooks in main European countries, such as England, France, Spain, Italy, and Germany. They tend to describe Seoul as one of the mega cities with urban problems, and introduces the city as an economic center which is responsible for interaction with other mega cities. Besides, Seoul is also described as less competitive city compared to others, and its history and cultural resources are not paid attention. Despite everything, it is fortunate that there are very few errors in descriptions of Seoul. In future I expect that descriptions of Seoul in European textbooks are enhanced in not only economic aspects of Seoul but also historic and cultural aspects of Seoul and then European textbooks get more reliable contents to inform Korea.

• 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.

• School Mathematics
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• v.19 no.4
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• pp.663-690
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• 2017

The aim of this study is to look into the meaning and sub-factors of spatial orientation, compare and analyze mathematics curriculums and textbooks of several countries with respect to spatial orientation and offer suggestions to improve teaching spatial orientation in elementary school mathematics in Korea. In order to attain these purposes, this study examined the meaning and sub-factors of spatial orientation through the theoretical consideration regarding various studies on spatial sense. Based on such examination, this study compared and analyzed mathematics curriculums and textbooks used in South Korea, Singapore, Japan, China, Hong Kong, Finland, United States of America, and Germany with respect to contents of mathematics curriculum and textbooks in grades, sub-factors of spatial orientation, and contexts for spatial orientation. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching spatial orientation in elementary schools in Korea as follows: extending content of spatial orientation in mathematics curriculum, emphasizing spatial orientation across the several grades, especially in the upper grades, providing opportunities to learn the sub-factors of location, direction, coordinates, route, and distance variously, and utilizing various familiar and realistic contexts in the world around students.

• Journal of The Korean Association For Science Education
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• v.38 no.5
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• pp.667-680
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• 2018

The purpose of this study is to investigate 1) the types of knowledge students ask for in their reading comprehension of science textbooks using an online annotation system, 2) the accuracy of the knowledge provided by the students to their peers, 3) the frequency of knowledge sharing behaviors, 4) the evaluation of the effect of collaborative reading, and 5) the trust among peers as knowledge sharers. Questions made by 241 students in the second grade of middle school using an online annotation system in two chapters of the science textbook were analyzed using Bloom's revised taxonomy and their answers were grouped according to five accuracy categories. Also, questionnaires for the evaluation of the effectiveness of collaborative reading comprehension and of trust among the students were used. The students asked their peers 'understanding questions' which comprised almost 80% of the total questions they made and were similar with individual metacognitive strategies for reading comprehension. Of the total threads, 71% has scientifically correct threads shared by the students. The frequency of the knowledge sharing behaviors was high but this was affected by the rewards (point system). Students evaluated that collaborative reading comprehension conducted through an online annotation system were helpful in their learning. In addition, the ratio of students trusting their peers who did the knowledge sharing is over 80%. This study shows that when students use an online annotation system, they can fill one another's cognitive gaps in the reading process by sharing knowledge. Also, collaborative reading using an online annotation system has proved that cognitive individualization is possible through sharing knowledge interactively and dynamically, unlike reading hard copies of textbooks which are a one way information transfer.

• Journal of the Korean Geographical Society
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• v.50 no.5
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• pp.557-569
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• 2015

This study aims to illustrate the national images of United Kingdom, France, and Germany based on the descriptions in the Korean middle school Social Studies textbooks in comparative perspective. In order to identify and compare the national images of the three countries, the author uses a framework for analysis consisting cognitive, normative, and relational factors. The main findings are as follows. First, the most frequently shown topics and issues are democratic institutions in the case of United Kingdom, respect for human rights in the case of France, and sustainable environment in the case of Germany. Second, for all the three countries, the most frequent factor among the three is cognitive one, followed by normative and then relational factors. Third, United Kingdom is described as a country of social unrest and conflict as well as a democratic country with long history and tradition. Fourth, France is described as a country of respect/abuse of human rights, potential for high tech industry, and largest agricultural state in Europe. Fifth, Germany is described more as a country of a leading country for global environmental protection than as a country with electronic and information technology.

• Journal of the Korean Chemical Society
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• v.51 no.6
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• pp.560-568
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• 2007

The aim of this study is to investigate the terminology of chemically unclear ‘heavy metals' which were expressed in the Korean secondary science textbook in terms of the definition, the type and the meaning. Initial results showed that six of ‘Chemistry I' textbooks among these texts defined a heavy metal with the density and described it as a metal which is hazardous and continuously accumulated in the human body. Specifically, cadmium, lead and mercury were presented as examples of the hazardous metal in all of the eight textbooks but non-metals such as arsenic and absolutely essential metals including chrome, manganese, iron, cobalt, nickel and copper were also given in the texts. Most of the texts described the hazardousness and toxicity of the metal too simple to understand the mechanism of its intoxication despite considering all of the factors including its oxidation state, residual amount and reactivity with biomolecules of the human body. Such an ambiguous definition and explanation may excluded in the textbook because the chemically undefined chemical vocabulary leads students to cause an alternative conception of the heavy metal, which means that the metal could be identical with toxins.