• Communications of Mathematical Education
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• v.24 no.1
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• pp.49-65
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• 2010

The purpose of this study is to encourage the role of domain to consider the teaching of the concept of functions in modeling real situations. To do this, it is analyzed that how to introduce the concept of functions and linear functions in textbooks treated in the 1st grade and the 2nd grade of middle school. This study also reviewed the role of domain in representational activities for modeling real situations using linear functions. In these reviews, it found that many textbooks do not consider the domain in the equations of functions and these graphs and several text books used linear functions for modeling real situations which are not represented by linear functions contextually. It is concluded that the domain of function is an important concept that will be considered any representational activities for functions.

• The Mathematical Education
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• v.59 no.4
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• pp.313-329
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• 2020

The purpose of this study was to develop an integrated teaching model that integrates mathematics and ethics with social justice theme centric approach. To solve the research problems, the investigator conducted literature studies on the 2015 revised mathematics curriculum, 2015 revised mathematics 3rd to 6th grade textbooks, and the 2015 revised ethics curriculum.. Based on the results of analysis, the mathematics and ethics integrated model for social justice was devised by using the three axes of mathematics subject, ethics subject, and social justice. The integrated class of mathematics and ethics for social justice consists of the steps of problem recognition (ME 1), analysis (ME 2), discussion (ME 3), inquiry and practice (ME 4), and it can be implemented in a total of 27 ways. In order to confirm the effectiveness of the integrated model, two classes of sixth grade were selected as experimental and comparative classes. As a result of the study, the integrated class of mathematics and ethics can be used as a tool to improve the value perception of mathematics, However, it should be conducted with full consideration of students' mathematical tendencies in advance. Also, it can improve students' social consciousness. However, practice and experience-oriented classes are effective to overcome 'reserved agency' problem. Finally, it can improve students' perception of integrated classes and their creative thinking and critical thinking skills.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.537-555
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• 2017

This paper compared and contrasted Korean and Singaporean textbooks in order to explore the direction and possibility of teaching the big ideas related to the addition and subtraction of fractions with different denominators proposed by Lee & Pang (2016a). Firstly, we examined the teaching sequences related to the addition of fractions with different denominators in a series of elementary mathematics textbooks of Korea and Singapore. We then analyzed what types of representations are used and how the representations are presented for the big ideas related to the addition of fractions with different denominators. The results of the analysis showed that the contents related to fraction addition are addressed more gradually and systematically in Singaporean textbooks compared to Korean counterparts. The graphical representations appeared in the Singaporean textbooks provide specific implications for teaching the big ideas of the addition of fractions with different denominators. Based on such implications, we expect that the big ideas related to the addition of fractions with different denominators will be addressed explicitly and systematically in Korean textbooks.

• 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.

• Journal of the Korean Chemical Society
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• v.51 no.5
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• pp.423-432
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• 2007

In this study we investigated the types of inscriptions representing the concept of atom and molecule in the 9th grade science textbooks developed under the 7th National Curriculum, and analyzed the processes of interpreting those inscriptions on the view of semiotics. The concept of atom and molecule was represented in various ways such as circular diagram, matters of everyday life, ball-and-stick, and STM graphic, etc. We identified two kinds of inscriptions on the basis of the possibilities of handling models: the inscriptions that represent concept of atom and molecule by image; the inscriptions that represent concept of atom and molecule by using specific matters. We analyzed the processes of interpreting inscriptions systematically with a semiotic model that includes ‘structuring processes' and ‘translating processes'. The interpretation of inscriptions representing concept of atom and molecule was a complex process requiring many steps of interpreting works. Educational implications of these findings are discussed.

• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.165-180
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• 2014

This study analyzed in what ways the instructional materials have been dealing with the fraction as quotient, since the seventh national mathematics curriculum. An analysis of this study urged us to re-consider the content related to the fraction as quotient. First, the fraction as quotient has weakened in the current mathematics textbooks and workbooks in comparison to those developed under the previous curriculum. Second, the contexts of whole number division taught in grades 3 and 4 were not naturally connected to those of the fraction as quotient taught in grade 5. Third, the types of word problems, visual models, and partitioning strategies in the textbooks and the workbooks were partial, and the process of formalization was limited. Building on these results, this study is expected to suggest specific implications which may be taken into account in developing new instructional materials in process.

• Communications of Mathematical Education
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• v.38 no.1
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• pp.49-67
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• 2024

Recent interest in the diverse applications of artificial intelligence (AI) language models has highlighted the need to explore didactical uses in mathematics education. AI language models, capable of natural language processing, show promise in solving mathematical word problems. This study tested the capability of ChatGPT, an AI language model, to solve word problems from elementary school textbooks, and analyzed both the solutions and errors made. The results showed that the AI language model achieved an accuracy rate of 81.08%, with errors in problem comprehension, equation formulation, and calculation. Based on this analysis of solution processes and error types, the study suggests implications for the didactical application of AI language models in education.

• Journal of Korean Home Economics Education Association
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• v.32 no.3
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• pp.161-177
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• 2020

This research aims to identify the relevance of 'Adolescence consumption' units to ESD(Education for Sustainable Development), and to analyze the unit's inquiry tendency through the Romey analysis method. The assessment criteria in association with ESD developed in the previous literature were summarized and established to set up an analysis framework consisted of 11 key points including environmental perspective (natural resources, climate change/disaster prevention and mitigation, and sustainable rural and urban systems), economic perspective (corporate sustainability, market economy, and poverty gap mitigation), and socio-cultural perspective (human rights/peace/human protection, cultural diversity and understanding, health/safety, civic engagement, and management of nation). With this framework, the learning contents of 'adolescence consumption life' unit in twelve middle school Home Economics textbooks were analyzed including the texts, images/illustrations/tables/graphs, and activities. The analysis revealed that the core elements of the 'market economy' and 'management of nation' from the economic perspective were presented in three different formats: texts, images/illustrations/tables/graphs, and activities. However, relatively insufficient contents were presented in terms of health/safety, civic engagement, sustainable rural and urban systems, and corporate sustainability, and thus, development of textbooks dealing with various ESD contents is neededrecommended. Additionally, most textbooks' texts and images/illustrations/tables/graphs tend to be authoritative, while activities and assignments exhibited an inquiry tendency. It is advisable to incorporate a wider variety of ESD-related content in Home Economics classes and creatively employ inquiry-based learning activities for the development of pro-sustainable-development consumption values and behavioral tendencies among young students.

• Korean Journal of Environmental Biology
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• v.26 no.4
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• pp.343-348
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• 2008

The study is to investigate the effects of the constructivist instructional model using ARCS strategies (attention, relevance, confidence, and satisfaction) on the environmental conservation of environment textbooks of middle school. The subjects of this study were applied to 135 students sampled 2nd graders of a middle school in Busan. All students were divided three groups according to teaching strategies. The first experimental group is consisted of students who participated in the traditional teaching program, the second is students who participated in the constructivist teaching program, and the third is students who participated in the constructivist teaching program with ARCS strategies. The pre-conceptions test was administered to examine students' pre-conceptions before the instructions. After the instructions, students' acquisition of scientific conceptions, academic achievement, and learning motivation were also tested. On average, the degrees of academic achievement for the group with ARCS strategies were higher than those of other groups and shown a significant difference among three programs. Thus the constructivist teaching program with ARCS strategies was more effective programs in acquisition of environmental conservation conception and learning motivation than the two other teaching programs.

• Journal of The Korean Association For Science Education
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• v.33 no.1
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• pp.30-45
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• 2013

In this study, we developed a model for analyzing scientists' creative thinking processes, and analyzed Archimedes' thinking process in solving the golden crown problem. As results show, scientists' complex problem solving processes could be represented as a repeating circular model, and the fusion of processes of diverse thinking required for scientists' creativity could be analyzed from the case. Also in this study, we represented the role of experiments in scientists' creative discovery, and investigated the reasons for the difference between the viewpoints of textbooks and historic facts. We found the importance of abductive reasoning and advance knowledge in creative thinking. Archimedes solved the golden crown problem creatively by crossing the scientific thought of dynamics and the daily thought of baths. In this process, abductive reasoning and advance knowledge played an important role. Besides Archimedes' case, if we would reconstruct the creative discovery processes of diverse scientists' in textbooks, students could raise their creative thinking ability by experiencing these processes as educational steps.