Jeong Yak-yong attempted to establish a new philosophical system through the criticism on Neo-Confucianism. The most important area among the ideas of Dasan is on the ethical thoughts. He has a tremendous interest in the ethical education as well as ethical thought. During his exile, he gathered children around and educated them by editing "Jegyeong(弟經)". Dasan regarded "Sohak(小學)" to have some problems in educating children. Thus, he reconstructed the contents of "Sohak" and edited "Jegyeong". "Jegyeong" is more concise than Sohak and is a textbook focusing on children which is mainly composed of practical etiquette in the everyday life. It contains etiquettes to parents, teachers and adults, etiquettes on food in the everyday life and etiquettes between men and women. Although the contents does not exceed the scope of Sohak, he selected reasonable contents and composed with practical contents. Thus, it is practical. Dasan also attempted to make a novel interpretation on Saseo (四書), i.e., Noneo, Maengja, Daehak and Jungyong. His new interpretation on Saseo can be considered as ethical textbooks in a broad sense. Dasan considered the key ethical principle of Saseo (四書) to be Seo (恕). Accordingly, he thought it is very important to understand and practice ethical principle of Seo (恕). Dasan studied and annotated "Simgyeong(心經)" and "Sohak(小學)" for self moral discipline. And, he thought it is utmost important to understand and accept the existence of Sangje (上帝) in order to keep moral mind. He believed it to be important to have Gyesingonggu (戒愼恐懼), which is to aware and respect the existence of Sangje (god) for self discipline and Sindok (愼獨) to be cautious about things that only he was aware of. He thought that if people are aware of Sangje (上帝) and make dialog with Sangje, the will of Sangje could be expressed into Dosim (道心). In the ethical education, it can be said that, ultimately, the awareness on the absolute being is the most important point to Dasan.
In this study, we introduced the case of college calculus course for vocational high school graduates with coding. We suggest this case as an alternative to overcome mathematics anxiety. Contents, python/SageMath codes, and textbook for this course, which help students to easily and quickly review middle and high school mathematics, were newly developed by authors. Due to the use of codes and chat with classmates in learning management system, most of the students who took this course reported that they no longer felt anxious in complex mathematics problems, had a full understanding of calculus concepts, could solve almost problems in any calculus textbooks with or without codes, and could explain calculus concepts to other students in their own words. In this way if mathematics and coding is properly used in mathematics education, it helps students with weak mathematical backgrounds or mathematics anxiety to restore confidence in mathematics in college. This could be applicable in secondary mathematics education.
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.
To learn mathematics effectively, understanding vocabulary is essential. Accordingly, as a way to present vocabulary for mathematics education, high-frequency vocabulary was extracted from the 2009 revised 1st and 2nd grade mathematics textbooks and the 2015 revised 1st and 2nd grade mathematics textbooks. At this time, mathematics textbooks were analyzed by grade and semester, and vocabulary with a common frequency of 5 or more was extracted. In order to use it effectively in school settings, common vocabulary for each grade and intensive vocabulary for each semester were presented. As a result of the study, 61 vocabulary words for first grade education and 121 vocabulary words for second grade education were selected. As a result of analysis by vocabulary level, various levels of vocabulary from grades 1 to 5 were used. As a result of analysis by vocabulary type, the proportion of academic words increased similarly, but the proportion of technical words was found to be highest in the first semester of the second year. Based on these results, the extracted vocabulary for mathematics education is used as a resource for vocabulary instruction for students' mathematics education in each grade to help students learn mathematics.
Kim, Nam Gyun;Oh, Min Young;Kim, Su Ji;Kim, Young Jin;Lee, Yun Ki
Communications of Mathematical Education
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v.38
no.1
/
pp.27-48
/
2024
In order to prepare for changes in future society, cross-curricular learning is emphasized, and the need to link cross-curricular learning topics and subjects is increasing. However, there are few studies on how to deal with cross-curricular learning in mathematics education. This study analyzed the contents and methods of cross-curricular learning topics in subject-specific curriculum and mathematics textbooks. As a result of the study, the curriculum can be categorized into four types according to the variety of cross-curricular learning topics applied and the presence or absence of a main cross-curricular learning topic, and the mathematics curriculum belongs to the type where some cross-curricular learning topics are dealt with passively and there is no main topic. On the other hand, the analysis of 10 math textbooks for grades 5 and 6 according to the 2015 revised curriculum showed that, unlike the curriculum, various cross-curricular learning topics were applied in the textbooks, mainly environment and sustainable development education, safety and health education, career education, character education, and economic and financial education. In addition, in mathematics textbooks, cross-curricular learning topics appeared in various types such as materials, questions, explanations, illustrations, and in many cases, they appeared mainly as materials or illustrations. Based on these findings, implications were explored and suggested on how to integrate and apply cross-curricular learning topics in mathematics.
Journal of The Korean Association For Science Education
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v.27
no.4
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pp.318-327
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2007
The purpose of this study is to examine the effects of small-scale chemistry(SSC) laboratory activities implemented in high school chemistry II classes on the students' inquiry process skills and science-related attitudes. For this study, 112 students in the 12th grade were chosen and divided into an experimental and a control group. Seven SSC lab programs that can replace the traditional experiments in chemistry II textbooks were selected and administered to the experimental group while the traditional textbook experiments were administered to the control group. The results showed that there was a significant difference in the enhancement of inquiry process skills between the two groups while no significant difference was found in science-related attitudes. Further analysis showed that the difference in the inquiry process skills came from the basic inquiry process skills. The experimental group students thought that the SSC experiments have many advantages compared to the traditional experiments, e.g., individual work, learning lab and theory in parallel, short experiment time, safety, environmental aspects, etc. These results suggest that the SSC lab programs are valuable in high school chemistry classes and developing and distributing various SSC lab programs is needed to replace the traditional experiments in the current textbooks.
This study took existing invention intellectual property related textbooks being utilized in secondary vocational education, analyzed the formation status of 'key learning elements' reflection ratio and drew optimum key learning elements formation ratio by invention intellectual property education content required in secondary vocational education in the future. For this, the study task was set up as 'what kind and how much of invention intellectual property key learning elements are in the invention intellectual property textbook education content now and what is the desirable ratio of each key learning elements in the future'. To resolve this task, 3 specialists analyzed the invention intellectual property education content reflection status and optimum reflection ratio by invention intellectual property education content required in the future is suggested by Delphi survey. The results of this study are as following. First, the result of analysis on invention intellectual property key learning elements included in the invention patent recognition books being utilized in secondary vocational education was that the books included all key learning elements; however, some textbooks have the trend of concentrating in D area (problem-solving activities). Second, the result of analysis on the reflection ratio by invention intellectual property education content area in the invention patent recognition books being utilized in secondary vocational education was that there was the trend in most textbooks that they concentrate in intellectual property creation area; while some textbooks deal with intellectual property protection area and intellectual property utilization area. Regarding by achievement type, knowledge area was main in all textbooks. Meanwhile, function area is dealt in invention patent basic, invention and problem-solving and design textbooks. Attitude area is not dealt or is dealt insufficiently in most textbooks. Third, the optimum reflection ratio of invention intellectual property education key learning elements required in secondary vocational education in the future as obtained by specialists' delphi survey was that it is necessary to decrease D (problem-solving activities) 17.7% area, E(invention fusion knowledge) 2.9% area, K(patent application) 6.9% and L(patent information investigation) area 9.6%. Regarding the optimum reflection ratio of invention intellectual property education content, it is suggested that the invention literacy area 3.1%, intellectual property creation area 4.5% and intellectual property protection area 10.6% would be decreased; while intellectual property utilization area 17.7% would be increased. Regarding optimum reflection ratio of achievement type, it is suggested that knowledge area 52% would be decreased; while function area 32.3% and attitude area 19.6% would be increased.
Journal of Korean Home Economics Education Association
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v.19
no.2
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pp.1-12
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2007
This study analyzed the recognition and utilization regarding teacher's guidebook for middle school technology-home economics class in the 7th Educational Curriculum. The data were collected via e-mail to teachers teaching home economics in middle schools. These e-mail addresses were acquired from middle school web pages registered on the Educational Board. The 355 data were analyzed using the SPSS program. The results were as follows: First, teachers recognized highly the necessity of teacher's guidebook. However, as the actual guidebook was not adequately helpful, the overall degree of satisfaction was relatively low. Teachers utilizing guidebook had more positive recognition on teacher's guidebook than teachers who did not. And teachers majored in technology education thought teacher's guidebook more helpful compared with teachers majored in home economics education. Second, teachers referenced teacher's guidebook mostly for field practice guidance. Third, teachers who did not utilize teacher's guidebook used other reference materials such as Internet Web sites and audiovisual materials. They were most commonly used for the reason that the contents were ample and easy to access. Fourth, the followings were suggested to improve teacher's guidebook. The provision of learning contents that can be practically used in class, the various samples of teaching-learning method, the specified methods of planning and criteria for performance assessment, the adequate supplementations regarding textbook contents, and the improvement of the outward layout format of the guidebook.
This study was expected to yield the meaningful conclusions from the experimental group who took lessons based on inductive activities using GeoGebra at the beginning of proof learning and the comparison one who took traditional expository lessons based on deductive activities. The purpose of this study is to give some helpful suggestions for teaching proof to mathematically gifted elementary students. To attain the purpose, two research questions are established as follows. 1. Is there a significant difference in proof abilities between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? 2. Is there a significant difference in proof attitudes between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? To solve the above two research questions, they were divided into two groups, an experimental group of 10 students and a comparison group of 10 students, considering the results of gift and aptitude test, and the computer literacy among 20 elementary students that took lessons at some education institute for the gifted students located in K province after being selected in the mathematics. Special lesson based on the researcher's own lesson plan was treated to the experimental group while explanation-centered class based on the usual 8th grader's textbook was put into the comparison one. Four kinds of tests were used such as previous proof ability test, previous proof attitude test, subsequent proof ability test, and subsequent proof attitude test. One questionnaire survey was used only for experimental group. In the case of attitude toward proof test, the score of questions was calculated by 5-point Likert scale, and in the case of proof ability test was calculated by proper rating standard. The analysis of materials were performed with t-test using the SPSS V.18 statistical program. The following results have been drawn. First, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in proof ability than the comparison group who took traditional proof lessons. Second, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in the belief and attitude toward proof than the comparison group who took traditional proof lessons. Third, the survey about 'the effect of inductive activities using GeoGebra on the proof' shows that 100% of the students said that the activities were helpful for proof learning and that 60% of the reasons were 'because GeoGebra can help verify processes visually'. That means it gives positive effects on proof learning that students research constant character and make proposition by themselves justifying assumption and conclusion by changing figures through the function of estimation and drag in investigative software GeoGebra. In conclusion, this study may provide helpful suggestions in improving geometry education, through leading students to learn positive and active proof, connecting the learning processes such as induction based on activity using GeoGebra, simple deduction from induction(i.e. creating a proposition to distinguish between assumptions and conclusions), and formal deduction(i.e. proving).
Journal of The Korean Association For Science Education
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v.20
no.1
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pp.52-76
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2000
Following the previous study focused on the period until the middle of the 20th century, this study tried to show how STS-related ideas have been developed historically in British science education, particularly focused on the period of the 2nd half of the 20th century. Like the USA, the UK witnessed the development of numerous academically-oriented programs, such as Nuffield projects, during the 1950-60s. However, during the 1970s, there had been growing criticism against the discipline-centered science education and some new noticeable approaches had been made to compensate the contemporary trend. For example, although its main focus was on the integrated approach in school science, the SCISP was quite successful to illustrate the importance of the relationship between science and society. Following this example, Science in Society and SISCON-in-Schools were more ambitious in developing genuine STS programs. These two projects were developed simultaneously and took the form of modules, rather than of textbooks. Nevertheless, Science in Society was more concerned with the applied and industrial aspects of science while SISCON-in-Schools was more inclined to the historical, philosophical and social aspects of science. During the 1980s, far more ambitious attempts had been made to develop full-scale STS programs, i.e. Salters' Chemistry/Science and SATIS. These two programs have been developed with the active corporation from the ASE and soon became the typical examples of the STS approach across the world. Besides the similarities between them, Salters' approach is more application-oriented, subject-oriented, and textbook-like while SATIS is more socially-oriented, issue-oriented and module-style. In summary, the history of STS approach in school science shows that the STS programs were developed under the different social backgrounds and initiated by different groups of the people who have different views towards the purposes of school science and that the STS approach is certainly not the exclusive characteristic of the last period of the 20th century. Finally, the features of the major STS programs developed in Britain during the 20th century are summarized and compared in relation to the Ziman's criteria of the possible approaches in STS education. And some general conclusion are drown based on the study of the history of the STS approaches in Britain.
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