• School Mathematics
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• v.15 no.1
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• pp.101-120
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• 2013

International comparative studies of students' performance in mathematics have shown that Korean students possess very negative attitudes toward mathematics, while they are ranked as one of the highest in the cognitive achievement of mathematics. This has prompted mathematics educators to seek for a way to improve the quality of mathematics education. In this context, this research has been conducted to investigate the learning style of Korean middle school students under the assumption that it is of essence to understand the characteristics of our students as mathematics learners. For the purpose, in-depth interview had been conducted and sixteen middle students participated in the interview. The students were chosen to represent the average group of their age-cohorts based on their performance in mathematics and their SES. The interview was designed as a semi-structured clinical interview. In the interview, the students were given mathematical tasks dealing with central themes in the domain of function. Each student was given about 30 to 50 minutes to solve the tasks. After an interviewee finished the tasks, s/he was asked to explained how s/he solved the tasks. The researchers asked additional questions to clarify the students' understanding of the mathematical themes in the tasks and to identify their strategies for learning mathematics. The analysis of the in-depth interview has primarily identified the characteristics of the students' understanding of the main themes in function and then has been extended to investigate their characteristic styles for learning mathematics. The analysis of the interview identified the learning styles of the students as 'inductive learning based on prototypical cases', 'repeated practice of exemplar mathematics problems', 'disengaged learning', and 'double standards in learning mathematics'. Based on the results of the analysis, this research presents the implications for the improvement of mathematics education.

• Journal of The Korean Association For Science Education
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• v.29 no.4
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• pp.359-372
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• 2009

The purpose of this study was to develop the FPHER (problem finding, prediction & discussion, hands-on & experiment, explanation & arrangement, enrichment) instructional model emphasizing the social interactions, and as applied, characteristics of verbal interactions were examined overall and with each step. For this study, this model was applied to the students in 10th grade chemistry classes in a science high school, and their group verbal interactions were recorded and analyzed. The results of this study show that most verbal interactions were classified as on-task interactions in the FPHER instructional model, where suggestions were predominant to the acceptance of opinions. There were a few interactions in the F step, and there were many suggestions relating to the solutions and lacking in confidence in the P step. There were many suggestions relating to the process and orders in the H step. Also, there were many questions, some explanation and dissatisfaction, as well as a lack of confidence in the E step. There were many high-level interactions in the R step, and mainly interactions with worksheets showing high-level problem-solving abilities. More in-depth research is needed to develop the teaching strategies that can activate student-to-student interaction and student-teacher interaction with regard to instructions, enhancing thought as counter-argument, justification or sophistication, based on the instructional model in this study.

• Journal of the Korean Geographical Society
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• v.47 no.6
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• pp.934-954
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• 2012

Constructed-response items are useful to estimate a higher-order thinking abilities such as sense of place, graphicacy, and geographical imaginations which are aimed by geography education. This study aims to identify the conception of the constructed-response items, to classify those feasible items in geography education, and to propose some comments and suggestions for development and application in Korea. The author tries to classify the constructed-response items by analyzing the NAEP items in the formal aspect and the aspect of cognitive dimension respectively. In the formal aspect, they are classified as 'question-standalone' type and 'material-presenting' type. In the aspect of cognitive dimension, they are classified into three types as 'knowledge-requirement', 'understanding-requirement', and 'applying-requirement'. Some comments and suggestions are as follows. First, it is necessary to develope the constructed-response items that coherent to both content and cognitive dimensions. Second, it is required for students who take an examination to use a great variety of graphics, photos, thematic maps related to geography. Third, we need to inquire the rubric, grade, process to scoring because they are vital to success of the constructed-response items.

• The Mathematical Education
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• v.63 no.2
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• pp.187-207
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• 2024

In this study, we explored the feasibility of automatically scoring descriptive assessment items using GPT-4 based ChatGPT by comparing and analyzing the scoring results between teachers and GPT-4 based ChatGPT. For this purpose, three descriptive items from the permutation and combination unit for first-year high school students were selected from the KICE (Korea Institute for Curriculum and Evaluation) website. Items 1 and 2 had only one problem-solving strategy, while Item 3 had more than two strategies. Two teachers, each with over eight years of educational experience, graded answers from 204 students and compared these with the results from GPT-4 based ChatGPT. Various techniques such as Few-Shot-CoT, SC, structured, and Iteratively prompts were utilized to construct prompts for scoring, which were then inputted into GPT-4 based ChatGPT for scoring. The scoring results for Items 1 and 2 showed a strong correlation between the teachers' and GPT-4's scoring. For Item 3, which involved multiple problem-solving strategies, the student answers were first classified according to their strategies using prompts inputted into GPT-4 based ChatGPT. Following this classification, scoring prompts tailored to each type were applied and inputted into GPT-4 based ChatGPT for scoring, and these results also showed a strong correlation with the teachers' scoring. Through this, the potential for GPT-4 models utilizing prompt engineering to assist in teachers' scoring was confirmed, and the limitations of this study and directions for future research were presented.

• School Mathematics
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• v.15 no.1
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• pp.159-177
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• 2013

This study is a case study of STEAM education. We have developed teaching and learning materials, suggested teaching method, and analysed the result for exploring the potential and effect of STEAM. The content of this study is based on the history of mathematics. Science (S) is related to the 24 divisions of the year, the height of the sun, the movement of heavenly bodies. Technology (T) is related to the exploration with graphic calculators. Engineering (E) is related to design sundial and research on the design principles. Art (A) is related to literature review about mathematical history, the understanding of the value of the mathematics. Mathematics (M) is related to the trigonometric functions. We have considered that Project-Based Learning is proper teaching and learning for STEAM education, we have designed the STEAM PBL and analysed the results focused on the developing integrative knowledge, mathematical attitude including mathematical value, the competencies of 21 century. The result of this study is as follows. We find that STEAM education activates students' collaboration, communication skills and improves representation and critical thinking skills. Also STEAM education makes positive changes of students' mathematical attitudes including the values of the mathematics.

• Journal of the Korean Chemical Society
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• v.68 no.2
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• pp.93-106
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• 2024

This study investigated differences in presence, immersion, and situational interest in small group learning using augmented reality, based on the degree of tool sharing. 84 eighth-grade students participated in small groups of four. Each group was randomly assigned to one of three environments based on marker and device sharing: the shared environment (shared marker and device usage), the mixed environment (shared marker and individual device usage), and the individual environment (individual marker and device usage). Small group learning using augmented reality was conducted for three class periods, focusing on the "Characteristics of Matter" unit. One-way ANOVA results for the dependent variables revealed that, compared to the shared environment, presence and situational interest were significantly higher in the mixed environment, while immersion and situational interest were significantly higher in the individual environment. MANOVA results for the sub-components of each dependent variable showed significant differences in realness for presence, antecedents and experiences for immersion, and instant enjoyment, novelty, and total interest for situational interest. Analysis of interviews and classroom observations indicated that students in shared and individual environments tended to use their devices individually when utilizing augmented reality. However, in mixed environments, students showed a tendency to use their devices collaboratively, leading to more active interactions. Based on these findings, environments for using tools to enhance the effectiveness of small group learning using augmented reality are discussed.

• School Mathematics
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• v.13 no.1
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• pp.65-88
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• 2011

Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.179-202
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• 2012

To implement effective technology-based education, we need knowledge for functional aspects of technology as well as design and procedural aspects of curriculums. Also, we need positive teaching efficacy. In this regard, we investigate the effects on teachers' TPACK and technology teaching efficacy on mathematics after make the teachers design and teach technology-based classes according to the ASSURE model which is suitable in designing technology-based educations. First, we let the teachers design and teach two unit hour classes. The first class had been done with the teachers learned functional aspects of technologybased educations, and the second one with them designed based on the steps in the ASSURE model. To analyze the effects of ASSURE model, we have performed a case-study for one teacher who had taken part in our college class. As a result, we conclude that the teacher's experiences in designing classes based on the ASSURE model help improve the teacher's TPACK and technology teaching efficacy on mathematics in a positive way.

• Journal of The Korean Association For Science Education
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• v.30 no.5
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• pp.533-543
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• 2010

This paper analyzed the improvement of cognitive level of the students and interactions which occurred in each step of free-topic scientific inquiry to help science teachers understand free-topic scientific inquiry better. Free-topic scientific inquiry is helpful to students with a deep strategic learning goal orientation type or a deep strategic ability goal orientation type in their transition (2B/3A) of cognitive levels. Most students have difficulties in the phase of establishing topics and hypotheses. The result says that the discussion techniques are improved through free-topic scientific inquiry, but the quality of interaction is not easily improved. The deep strategic learning goal orientation type concretizes opinion through interaction in free-topic scientific inquiry. The deep strategic ability goal orientation type are actively involve in the interaction, but they pay no attention to the process because they stick to the result. The surface strategic ability goal orientation type can not deepen a discussion due to high frequency of low level inquiry. However, the frequency of high level inquiry increases through free topic scientific inquiry operation. As a result, the characteristics of free-topic scientific inquiry were discussed and the educational implications of the progress of free-topic scientific inquiry and the organization of grouping were drawn.

• Journal of The Korean Association For Science Education
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• v.22 no.2
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• pp.345-356
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• 2002

This study investigated the trends in the number of applicants and mean score and applicants' responses on the test items of 'science inquiry' of the College Scholastic Ability Test(CSAT) implemented for 3 years$(1999\;{\sim}2001)$. The results of this study were as follows: The percentage of applicants of science track for 1995 CSAT were 43.13%, but reduced to 29.5% for 2001 CSAT. And unlike other tracks, the percentage of male applicants, ranking above average, of science track was 65.58%, which is about twofold of female applicants(34.42%). The mean score of 'Science inquiry' was 58.6 in 1999, and 69.5 in 2001. And the score of the applicants, ranking above average, of humanity and social science course and science course, were 85.8 and 90.7 respectfully in 2001 CSAT. These high mean scores were caused by the policy of "easy CSAT" so called. Most of test items were developed to have difficulty 60-79% or above 80%. This easy CSAT provoked intense dispute about the discriminating power of CSAT. The mean score of male applicants was higher than that of female. But the difference decreases every year. Applicants were generally very good at solving tests focusing on process skills only but poor at solving tests related to physics or calling for two or more science concepts. Thus special measures to cope with the decrease in applicants, especially female applicants, for science track should be provided. To increase discriminating power of CSAT, it is recommended to develop test items with wider range of difficulty and to reduce test items which are focussing process skills and can be solved without any special science concepts. And special consideration should be given to teaching the content area with poor achievement and high actual difficulty compared to the expected.