• Communications of Mathematical Education
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• v.28 no.4
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• pp.529-552
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• 2014

Recently, mathematical reasoning has been considered as one of the most important mathematical thinking abilities to be established in school mathematics. This study is to investigate the mathematical problems on the content of 'Set and Statement' and 'Sequences' in high school according to the four types of reasoning, namely Making Conjectures, Investigating Conjectures, Developing Arguments, and Evaluating Arguments. Those types of reasoning were reconstructed based on Johnson's six types of reasoning suggested in 2010. The content is dealt with in 'Mathematics II' textbook developed and published according to the mathematics curriculum revised in 2009. The subject of this study is nine types of textbooks and mathematical problems in the textbook are consisted of as two parts of 'general problem' and 'evaluation problem'. Finally, the results of this study can be summarized as follow: First, it is stated that students be establishing a logical justification activity, the highest reasoning activity through dealing with the 'Developing Arguments' type of problems affluently in both 'Set and Statement' and 'Sequence' chapters of Mathematics II textbook. Second, it is mentioned that students have an chance to investigate conjectures and develop logical arguments in 'Set and Statement' chapter of Mathematics II textbook. In particular, whereas they have an chance to investigate conjectures and also develop arguments in 'Statement', the 'Set' chapter is given only an opportunity of developing arguments. Third, students are offered on an opportunity of reasoning that can make conjectures and develop logical arguments in 'Sequences' chapter of Mathematics II textbook. Fourth, Mathematics II textbook are geared to do activities that could evaluate arguments while dealing with the problems relevant to 'mathematical process' included in 'general problem'.

• Journal of the Korean earth science society
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• v.29 no.2
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• pp.151-162
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• 2008

This study quantitatively investigated the actual situations and perceptions of gifted students and their teachers during small group inquiry activities in Korea. Some 1,670 gifted math students and 1,732 gifted science students as well as 614 of their teachers were selected through random sampling to participate in this study. Data were collected by means of a survey developed by the researchers of this study, based on reviews of literature related to inquiry and small group cooperative learning. The results were as follows: (1) In Korean gifted education, small group inquiry activities were frequently used as teaching and learning strategies, and both the students and teachers perceived its effects to be very positive in terms of cognition and affection. (2) Gifted education teachers emphasized the development of students' procedural inquiry skills as well as logical thinking skills, whereas they were indifferent to the essential elements of small group cooperative learning and therefore the lessons did not surpass the level of traditional group activities. (3) The fact that the actual small group inquiry activities did not reflect the characteristics of well-organized small group activities is due to a lack of knowledge on the teacher's part as to effective teaching strategies concerning cooperative learning. This study implies that gifted education teachers require the opportunity to reflect on and develop their knowledge and understanding of small group inquiry activities through professionally developed programs in order to maximize the effectiveness of small group inquiry activities in gifted education.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.313-334
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• 2022

The purpose of this study is to analyze the changes in mathematical learning through applying STEAM education according to social needs for out-of-school youth. For this purpose, we developed a teaching and learning model and program for mathematics and music STEAM education, and we implemented and analyzed the changes of affective area and problem-solving strategies. The analysis results of characteristic in affective area are as follows: first, the activity-oriented class of mathematics and music STEAM education aroused interest in mathematics. Second, providing opportunities for mathematics and music STEAM education instilled a positive perception of the value of mathematics and STEAM education. Third, the autonomous communication-oriented learning environment of mathematics and music STEAM education improved confidence and motivation to learn in mathematics. The analysis results of the characteristic in problem-solving strategy are as follows: first, through the STEAM education with mathematics and music, a conceptual understanding of internally and externally dividing points was formed, and a given problem was expressed and solved in a formula. Second, the functional correspondence relationship was understood, and the given problem was described and solved with symbols associated with the function. The suggestions of the study are as follows: first, based on the teaching and learning model and results of this study, various STEAM education programs for out-of-school youth should be developed and expanded to foster future competencies and provide new changes for out-of-school youth. Second, it can be used for research on the development of teaching and learning materials for convergence elective subjects in the high school credit system by referring to the mathematics and music convergence STEAM program of this study. As the subjects and fields of STEAM education are diversified and organized, students in need of receiving educational opportunities will be reduced, and there will be a world where the name of out-of-school youth and alternative education will not be necessary. Therefore, it is expected that development of teaching and learning programs created by interest in education of out-of-school youth will be used as an innovative idea in school education to achieve a virtuous cycle.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.12
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• pp.872-877
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• 2018

STEAM is an acronym for Science, Technology, Engineering, Arts, and Mathematics. It is considered important to equip students with a creative thinking ability and the core competences required in future society, helping them devise new ideas emerging from branches of study. This study is about the convergence of instructional design in private finance for the life sciences, which aims to foster talent through problem-based learning (PBL). Skills like collaboration, creativity, critical thinking, and problem solving are part of any STEAM PBL, and are needed for students to be effective. STEAM projects give students a chance to problem-solve in unique ways, because they are forced to use a variety of methods to solve problems that pop up during these types of activities. The results of this study are as follows. First is the structured process of convergence lessons. Second is the convergence lesson process. Third is the development of problems in the introduction of private finance and the life sciences for a convergence lesson at Dornod University. Learning motivation shows the following results: understanding of learning content (66.6%), effectiveness (63.3%), self-directed learning (59.9%), motivation (63.2%), and confidence (63.3%). To make an effective model, studies applying this instructional design are to be implemented.

• Journal of Elementary Mathematics Education in Korea
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• v.5 no.1
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• pp.55-75
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• 2001

The purpose of this paper is to find out the full extent of abilities of elementary students on area of operations and the effects on student's affective domain toward mathematics, after providing 3rd grade students with Skemp's play activities instead of providing activities suggested in the textbook of 7th curriculum. For this study, we will first analyse new elementary mathematics curriculum of 3rd grade and then explore mathematical factors for play activities related to operational sections. The play activities are revised from that of Skemp's for our classroom circumstances, but the ideas included from Skemp's such as thinking aloud were not changed. The experimental group while consists of 39 students were taught Skemp's play activities instead of usual textbook activities for 30 hours for the second term. In all other area, both the experimental group and the comparative group were taught the same contents. Statistical data is as follows 1) In addition and subtraction, the experimental group had 5.6% higher score than the comparative's, but the difference of mean of the both groups is not significant within 5% level. 2) In multiplication and division, the experimental group had 7.8% higher score than the comparative's and also the difference of mean of the beth within 5% level is significant. 3) When measured the effects in affective domain, the interests, attitude, and values for mathematics had about 10% higher score after the experiment than before the experiment. So we conclude that Skemp's activities are more effective than the activities suggested in the textbook on the area of operations, especially in multiplication and division.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.373-389
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• 2015

This study was to investigate the practice of the teachers who changed their teaching subject to Mathematics from other subjects. Teacher, A who had traditional belief and Teacher, B, non-traditional belief were chosen for the study through the questionnaire in Sep. 2014. The result indicated that Teacher, A in traditional belief showed teacher-centered teaching but Teacher, B in nontraditional belief showed inconsistent way of teaching in comparison to the original perspective. The later said she could not teach students as she wanted to teach because of the lack of knowledge of teaching as a math teacher. The difficulties Teacher, A encountered were: to handle too many works beyond teaching and to teach too many contents to cover without having enough time to prepare. Teacher, B didn't know how to teach students math in a constructivism way. They asked to offer them more in-service training program to develop their expertise for teaching mathematics.

• The Mathematical Education
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• v.62 no.2
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• pp.289-302
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• 2023

In today's digital information society, student knowledge and skills to analyze big data and make informed decisions have become an important goal of school mathematics. Integrating big data statistical projects with digital technologies in high school <Artificial Intelligence> mathematics courses has the potential to provide students with a learning experience of high impact that can develop these essential skills. This paper proposes a set of guidelines for designing effective big data statistical project-based tasks and evaluates the tasks in the artificial intelligence mathematics textbook against these criteria. The proposed guidelines recommend that projects should: (1) align knowledge and skills with the national school mathematics curriculum; (2) use preprocessed massive datasets; (3) employ data scientists' problem-solving methods; (4) encourage decision-making; (5) leverage technological tools; and (6) promote collaborative learning. The findings indicate that few textbooks fully align with these guidelines, with most failing to incorporate elements corresponding to Guideline 2 in their project tasks. In addition, most tasks in the textbooks overlook or omit data preprocessing, either by using smaller datasets or by using big data without any form of preprocessing. This can potentially result in misconceptions among students regarding the nature of big data. Furthermore, this paper discusses the relevant mathematical knowledge and skills necessary for artificial intelligence, as well as the potential benefits and pedagogical considerations associated with integrating technology into big data tasks. This research sheds light on teaching mathematical concepts with machine learning algorithms and the effective use of technology tools in big data education.

• Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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• v.7 no.12
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• pp.177-185
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• 2017

In order to succeed in gifted education, it is necessary to educate teachers with professional skills and qualities that meet the psychological characteristics of gifted students and satisfy their educational desires. The purpose of this study is to explore the characteristics of the science/mathematics gifted students the preservice teachers who participated in the service learning in the hothousing center annexed to the university, and the direction in which the Korean hothousing should proceed. For this, the service learning was conducted in the hothousing institution targeting three students attending A education college for 12 weeks. As a result of study, the gifted children showed the outstanding cognitive, affective, and creative natures which were expressed positively or negatively according to the situation. The study participants recognized the teachers had a duty to admit the distinctive nature of the individual gifted children and to provide the specially contrived education for them for the qualitative improvement of the Korean hothousing. Simultaneously they thought the gifted children should be regarded as ordinary children before the gifted persons and treated as the children. The necessity for preservice teachers to take the hothousing lectures requisitely and provide the learning chance focusing on the practical contents beyond the hothousing teacher training was brought forward in order to develop the systematic hothousing curriculum.

• Journal of the Korean School Mathematics Society
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• v.23 no.2
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• pp.179-201
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• 2020

The purpose of this study is to analyze tasks reflected in Korean and US textbooks according to the mathematical modeling perspectives, and then to compare the diversity of learning opportunities given to students from both countries. For this, we analyzed mathematical modeling tasks of textbooks based on three aspects: mathematical modeling process, data, and expression. Results are as follows. First, with respect to modeling process, Korean textbook provides a high percentage of the task at all stages of modeling than US textbook. Second, with respect to data, both countries' textbooks have the highest percentage of matching task. Korean textbooks have a large gap in data characteristics by textbook. Third, with respect to expression, both countries' textbooks have the highest percentage of text and picture. Korean textbooks have a large gap in the type of expression than US textbooks, and some textbooks have no other expression except for text and picture. Fourth, tasks were analyzed by integrating the three features. The three features were not combined in various ways. It is necessary to diversify the integration of the three features.

• Journal of the Korean School Mathematics Society
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• v.16 no.2
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• pp.383-407
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• 2013

As an alternative of making students active and independent under the passive learning conditions in school math classes, many researchers have paid much attention to problem posing and done a lot of research on it. Above all, Brown and Walter proposed What I f Not strategy as a means of problem posing. In this strategy, during the process of posing problems, the transformation of their attributes is inevitably made, and so after problem posing, the process is finished by explaining the problem. But only the simple transformation of attributes could pose wrong problems. It suggests that it is very important to recognize the relationship which leads to organic connection between attributes in order to pose the right problem. However, many other studies of problem posing haven't focused on this fact. Thus, this study tried to design a model of problem posing to help recognize inherent knowledge in the problem and then pose the right problem by adding an activity of meaning analysis. We concretely showed a model of problem posing emphasizing the analysis of meaning by means of an example, thereby examining the meaning of the model. This study expects students to have the chance to understand the true meaning of problem posing and to be active learners after all.