• Communications of Mathematical Education
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• v.22 no.1
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• pp.41-52
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• 2008

In this paper, some factors such as the perspective of children, instructional materials(especially activities in textbooks for elementary school mathematics), and teacher's questioning styles are discussed as ones influenced on students' immersion in leaner-centered instruction. This discussion is based on the author's two implementations of the kind of two instructions. About the first theme, constructivists assert that even children who are in elementary school can have reflective abstracting ability. Teachers' asking questions with the belief differ from ones with traditional perspective of children, which is relevant the third factor. They value and respect learners' thinking outcomes, even though they are not sometimes wrong and have errors. Also, they have them opportunities to think different from others and to ask how they get their answers. To do these, they frequently ask open-ended questions, not closed. All of them is possible through the activities provided in textbooks. Some characteristics which can prompt such teacher's questions using activities in elementary mathematics textbooks are discussed.

• Communications of Mathematical Education
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• v.32 no.1
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• pp.37-57
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• 2018

In the early days, the use of concept maps in mathematics education focused on how to represent mathematical ideas in the concept map. In recent years, however, concept maps have proved beneficial for improving problem solving ability. Conceptual diagrams can be used for collaboration among students, tools for exploring problems, tools for introducing problem structures, tools for developing and systematizing knowledge systems. In this study, we focused on the structure analysis of mathematical problems using Concept Map based on the analysis of previous research. In addition, we have devised a method of using concept maps for problem analysis and a method of analysis of systematic mathematical problem structure. The method developed in this study was found to have significant value by applying to the university scholastic ability test.

• Communications of Mathematical Education
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• v.26 no.3
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• pp.301-316
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• 2012

Ball, Thames & Phelps(2008) introduced the idea of Mathematical Knowledge for Teaching(MKT) teacher. Specialized Content Knowledge(SCK) is one of six categories in MKT. SCK is a knowledge base, useful especially for math teachers to analyze errors, evaluate alternative ideas, give mathematical explanations and use mathematical representation. The purpose of this study is to analyze the elementary teacher's SCK. 29 six graders made word problems with respect to division fraction $9/10{\div}2/5$. These word problems were classified four sentence types based on Sinicrope, Mick & Kolb(2002) and then representative four sentence types were given to 10 teachers who have taught six graders. Data analysis was conducted through the teachers' evaluation of the answers(word problems) and revision of students' mathematical errors. This study showed how to know meanings of fraction division for effective teaching. Moreover, it suggested several implications to develop SCK for teaching and learning.

• Journal of Korean Home Economics Education Association
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• v.12 no.3
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• pp.53-63
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• 2000

The purpose of this study was quantitative and qualitative contents analysis of food and nutrition section in middle school textbooks of home economics, physical education and science. As a quantitative approach numbers of sentence lines tables, figures, photos, activities, and exercises were counted. As a qualitative approach, types of explanations were categorized by 7 criteria, and commons and differences of the contents of those subjects were compared. The conclusions of this study were summarized as follows: 1) Contents of food and nutrition section were divided into nutrients. water. energy, food groups, and nutritional problems. When average sentence lines of each were compared, those of nutrients were the longest in all 3 subjects. 2) When compared the numbers of tables, figures, and photos in 3 subjects of textbooks, there were more figures in home economics and science, and more tables in physical education. 3) There were more activities and exercises in home economics an science than in physical education. 4) The D(sentences with table) or E type(sentences with figure) was adapted for the explanation of nutrients functions, recommended dietary allowance, food sources, food groups, eating habits, and weight control in home economics: nutritions functions and energy metabolism in physical education : and digestion, body constituents, energy metabolism, and detection of nutrients in science. 5) Contents about classification and functions of nutrients. food sources deficiency water, energy contents of nutrients and obesity were shown in all 3 subjects. Food groups and eating habits were explained in detail in home economics whereas digestion of nutrients in the digestive tracts were explained in detail in science. Recommended dietary allowance for Koreans and basic food groups revised in 1995 were presented in home economics, whereas those revised in 1989 were presented in physical education. To avoid confusion, recommended dietary allowance for Koreans and food groups presented in physical education tex should be updated.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.13 no.5
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• pp.195-201
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• 2013

The government has invested much budget for 5years to do the Smart-education and operate digital textbook services since 2011. The private enterprises also decided to focus on constructing Smart learning system by investing much budget. If these systems are constructed nationwide and therefore can access to cyber university by using smart devices, we can reduce the information gap and study online lectures to get a grade whenever, whoever and wherever we want to. However, these convenient systems can cause serious problems like falsifying grades by hacking if security systems are weak. In this paper, we formulated cyber university which is secured in terms of security. For this, we simulated the smart-learning system which strengthened the security, considering code algorithm and encryption technique.

• Communications of Mathematical Education
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• v.26 no.1
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• pp.51-69
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• 2012

The cognition of an intrinsic attribute play an important role in the process of theoretical generalization. It is the aim of this paper to study how the theoretical generalization is made. First of all, we suggest the What-if-only-strategy(WIOS) which is the strategy helping the cognition of an intrinsic attribute. And we propose the process of the theoretical generalization that go on the cognitive stage, WIOS stage, conjecture stage, justification stage and insight into an intrinsic attribute in order. We propose the process of generalization adding the concrete process cognizing an intrinsic attribute to the existing process of generalization. And we applied the proposed process of generalization to two mathematical theorem which is being managed in middle school. We got a conclusion that the what-if-only strategy is an useful method of generalization for the proposition. We hope that the what-if-only strategy is helpful for both teaching and learning the mathematical generalization.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.731-744
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• 2010

Nowadays in school mathematics, the skill and method for solving problems are often emphasized in preference to the theoretical principles of mathematics. Students pay attention to how to make an equation mechanically before even understanding the meaning of the given problem. Furthermore they do not get to really know about the principle or theorem that were used to solve the problem, or the meaning of the answer that they have obtained. In contemporary textbooks the conic section such as circle, ellipse, parabola and hyperbola are introduced as the cross section of a cone. But they do not mention how conic section are connected with the quadratic equation or how these curves are related mutually. Students learn the quadratic equations of the conic sections introduced geometrically and are used to manipulating it algebraically through finding a focal point, vertex, and directrix of the cross section of a cone. But they are not familiar with relating these equations with the cross section of a cone. In this paper, we try to understand the quadratic curves better through the analysis of the discussion made in the process of the discovery and eventual development of the conic section and then seek for way to improve the teaching and learning methods of quadratic curves.

• Journal of the Korean association of regional geographers
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• v.4 no.2
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• pp.65-77
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• 1998

One of the fundamental, important preconditions for effective teaching of geography is to collect a variety of picture data available for class and to manage the data systematically. The purpose of this study is to present one method about how to supply basic picture data available for class of Korean geography for the high school program to teachers in service and how to collect, manage and utilize the data. A total of 233 picture data related to contents of the textbook of Korean Geography have been gathered through this study, and a database has been constructed for the data. Directories were generated for individual units of the textbook, and the collected picture data was stored in the image file of each directory. This data was recorded in a CD and attached as an appendix. Since the primary purpose of this study is to suggest one method, the picture data in a database for the present study is just a fraction of lots of data available for class of Korean geography. If the user persistently enlarges and manages data based on the results of this study, the data will become a good instructional aid. The picture data can be printed over the transparent film and used for class by using the overhead protector (OHP), or it can be also used as a remote self-study tool through the computer telecommunications network (e.g., LAN or INTERNET. etc,). Most desirable, however, is to develop teachers' own method by taking account of separate units of the textbook or diverse educational environments.

• Hwankyungkyoyuk
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• v.15 no.1
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• pp.115-124
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• 2002

The purpose of this research is to analyze the contents related to environmental education(EE) in the elementary school textbooks for the following areas: well-balanced EE, and development of EE curriculum/teachers' guide in elementary school level. For the purpose of this analysis, elementary school teachers, education administrators and EE specialists were involved. Eleven content areas of EE, namely: natural environment, artificial environment, population, industrialization, natural resources, pollution, environmental conservation, environment sanitation, environment ethics, environmentally sound and sustainable development(ESSD), and daily li(e as a consumer, were analyzed. The results of the analysis are as follows: 1. There are total 1,140 contents related to EE in the elementary school textbooks of 7th Korea National Curriculum. 2. The textbooks of grade 6 contain the most number of EE contents, while the least number is in the textbooks of grade 3. 3. The subject that includes EE contents equally in its textbooks is social studies, and the subjects that relate a lot to EE are Korean language, science, and social studies respectively. 4. The content areas that are included a lot in textbooks are' natural environment', 'pollution', and' environmental conservation' respectively, while the contents of 'population','industrialization', 'ESSD' are included to a lesser degree. The content area most frequently mentioned in the textbooks is 'pollution', and the number of the contents are increasing along with the grade level. 5. Generally, the content areas of 'population', 'industrialization', and 'natural resources' are reflected in the textbooks to a lesser degree than others. 'Industrialization' is not included in the textbooks of grade 2, while 'population' is not included in ones of grade 4. According to the result, more concern about balanced EE in content areas is needed at the elementary school level. Similar studies tot K and secondary school levels are needed. The developmental study of EE guide book and teacher training for teaching EE using the book are also recommended.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.545-567
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• 2023

This study investigates effective ChatGPT prompts for solving mathematical problems, focusing on the chapters of quadratic equations and quadratic functions. A structured prompt was designed, following a sequence of 'Role-Rule-Example Solution-Problem-Process'. In this study, an artificial intelligence model combining GPT-4, Wolfram plugin, and Advanced Data Analysis was utilized. Wolfram was used as the primary tool for calculations to reduce computational errors. When using the structured prompt, the accuracy rate for problems from nine high school mathematics textbooks on quadratic equations and quadratic functions was 91%, showing higher performance compared to zero-shot prompts. This confirmed the effectiveness of the structured prompts in solving mathematical problems. The structured prompts designed in this study can contribute to the development of intelligent information systems for personalized and customized education.