• The Mathematical Education
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• v.59 no.1
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• pp.81-99
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• 2020

This study examined the types of abduction and the thinking strategies by the mathematics problems posed by students. Four students who were 2nd graders in middle school participated in problem posing on four tasks that were given, and the problems that they posed were classified into equivalence problem, isomorphic problem, and similar problem. The type of abduction appeared were different depending on the type of problems that students posed. In case of equivalence problem, the given condition of the problems was recognized as object for posing problems and it was the manipulative abduction. In isomorphic problem and similar problem, manipulative abduction, theoretical abduction, and creative abduction were all manifested, and creative abduction was manifested more in similar problem than in isomorphic problem. Thinking strategies employed at abduction were examined in order to find out what rules were presumed by students across problem posing activity. Seven types of thinking strategies were identified as having been used on rule inference by manipulative selective abduction. Three types of knowledge were used on rule inference by theoretical selective abduction. Three types of thinking strategies were used on rule inference by creative abduction.

• Journal of Engineering Education Research
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• v.8 no.3
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• pp.49-56
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• 2005

The purposes of this study are to select assessment components for the engineering design ability and to verify the validity of the selected assessment components. From the results of the study, the following conclusions were made. $\cdot$ Social Ability : 'Communication' and 'Teamwork' $\cdot$ Procedure Ability : 'Acknowledging and Defining Problems', 'Planning and Maintaining', 'Collecting Information', 'Deriving Ideas' and 'Evaluating Ideas' $\cdot$ Experience : 'Engineering Experience' and 'Science Experience' $\cdot$ Knowledge : 'Engineering Knowledge', 'Science Knowledge' and 'Mathematics Knowledge', 'Visualization Ability': 'Sketching' and 'Drawing' $\cdot$ Reasoning : 'Converging Reasoning' 'Inductive Reasoning' and 'Intuitive Reasoning'

• Journal of the Korea Convergence Society
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• v.8 no.8
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• pp.215-224
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• 2017

The purpose of this study was to analyze the cases of verbal interactions occurring during the mathematics lessons taught in middle school special classes in order to examine the elements and types of verbal interactions that occur between the teachers and students. Data were collected and analyzed for the sessions on geometric units that formed part of the mathematics lessons routinely implemented in the special classes. The analysis showed that the teachers initiated 237 (84.1%) of the 291 instances of verbal linguistic interactions. A total of 240 teachers' questions were analyzed, and questions in the area of knowledge occurred the most frequently, at 160 times (66.7%). A total of 617 student responses were analyzed, and short answers occurred the most frequently, at 367 times (59.5%). Teacher feedback occurred 581 times in total, and correct/incorrect (simple) feedback occurred the most frequently, at 234 times (40.3%). A total of 237 verbal interactions were observed between the teachers and children, and the I (RF) type (one teacher question, one student response, and one instance of teacher feedback) occurred most frequently, at 83 times (35.0%).

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.435-455
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• 2015

This study is aimed at analyzing the level change and features of mathematical communication in elementary students' expository writing. 20 students of 5th graders of elementary school in Seoul were given expository writing activity for 14 lessons and their worksheets was analyzed through four categories; the accuracy of the mathematical language, logicality of process and results, specificity of content, achieving the reader-oriented. This study reached the following results. First, The level of expository writing about concepts and principles was gradually improved. But the level of expository writing about problem solving process is not same. Middle class level was lower than early class, and showed a high variation in end class again. Second, features of mathematical communication in expository writing were solidity of knowledge through a mathematical language, elaboration of logic based on the writing, value of the thinking process to reach a result, the clarification of the content to deliver himself and the reader. Therefore, this study has obtained the conclusion that expository writing is worth keeping the students' thinking process and can improve the mathematical communication skills.

• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.1-24
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• 2009

The applications of ratio and similarity have been in need of everyday life from ancient times. Euclid's elements Ⅴand Ⅵ cover ratio and similarity respectively. In this note, we have done a comparative analysis to button down the contents of ratio and similarity covered by the math text books used in Korea, Euclid's elements and the math text books used in Japan and America. As results, we can observe some differences between them. When math text books used in Korea introduce ratio, they presented it by showing examples unlike math text books used in America and Japan which present ratio by explaining the definition of it. In addition, in the text books used in Korea and Japan, the order of dealing with condition of similarity of triangles and the triangle proportionality is different from that of the text books used in America. Also, condition of similarity of triangles is used intuitively as postulate without any definition in text books used in Korea and Japan which is different from America's. The manner of teaching depending on the way of introducing learning contents and the order of presenting them can have great influence on student's understanding and application of the learning contents. For more desirable teaching in math it is better to provide text books dealing with various learning contents which consider student's diverse abilities rather than using current text books offering learning contents which are applied uniformly.

• Journal of The Korean Association For Science Education
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• v.22 no.2
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• pp.336-344
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• 2002

The purpose of this study was to analyse achievement of 'Scientific Inquiry and the Nature of Science' in the Third International Mathematics and Science Study-Repeat (TIMSS-R), which was performed in 1999 with 38 nations participating. Korean 8th grade students' achievement of 'Scientific Inquiry and the Nature of Science' was compared to that of other countries and other content areas in science. Average percent correct of items in each subcategory - Scientific Method, Experimental Design, Scientific Measurements, Describing and Interpreting Data - was also analysed. Although 'Scientific Inquiry and the Nature of Science' topics were not included in intended curriculum in Korea, Korean students' average scale score of 'Scientific Inquiry and the Nature of Science' was significantly higher than international average and, in comparison with other science content areas, achievement of that area was relatively high. The reasons could be that the most students studied topics related to 'Scientific Inquiry and the Nature of Science' through the implemented curriculum and that the Korean teachers recognized the importance of inquiry. According to the results to analyze subcategories, the average percent correct of Korea were higher than 50% except the 'Scientific Measurements' subcategory. However, the international average percent correct were lower than 50%. Especially, the average percent correct of Korea was the highest in 'Describing and Interpreting Data' subcategory despite there were many students who were confused at observation, hypothesis and conclusion.

• Journal of Gifted/Talented Education
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• v.25 no.6
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• pp.857-879
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• 2015

This study investigated the relationships among middle school students' perceptions on the roles of online tutor, their deep learning, achievement, and overall evaluation of learning experiences in the context of inquiry based online gifted mathematics and science learning. For this purpose, 249 middle school students who took online course were surveyed about their perceptions on the degree to which their tutor performed the roles as an online tutor. The students were also asked about the activities which indicate deep learning approaches and overall course experiences such as the level of satisfaction, understanding and engagement in the course. The regression analyses were conducted to examine the relationships of students' perceptions on the roles of online tutor, deep learning, achievement, and overall course experiences. The results first showed that the roles of online tutor which affects students' deep learning approach such as high-order learning, integrative learning, reflective learning were the role as a subject matter and evaluation expert. Among the sub variables of deep learning approach the variable that was related to students' overall achievement was the use of high-order learning strategy. Second, the achievement in inquiry task was related to the role of tutor as a guide of learning process and method. Third, students' overall course evaluations such as the level of satisfaction, understanding and engagement were not related to any role of tutor.

• Journal of the Korean Society of Earth Science Education
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• v.14 no.1
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• pp.33-47
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• 2021

This study developed a big data-based STEAM (Science, Technology, Engineering, Art & Mathematics) program using WWT (World Wide Telescope), focusing on content elements of 'solar system', 'star and universe' in the 2015 revised science curriculum, and in order to find out the effectiveness of the STEAM program, analyzed creative problem solving, STEAM attitude, and STEAM satisfaction by applying it to one middle school 176 students simple random sampled. The results of this study are as follows. First, we developed a program to encourage students to actively and voluntarily participating, utilizing the astronomical data platform WWT. Second, in the paired t-test based on the difference between the pre- and post-scores of the creative problem solving measurement test, significant statistical test results were shown in 'idea adaptation', 'imaging', 'analogy', 'idea production' and 'elaboration' sub-factors except 'attention task' sub-factor (p < .05). Third, in the paired t-test based on the difference between the pre- and post-scores of the STEAM attitude test, significant statistical test results were shown in 'interest', 'communication', 'self-concept', 'self-efficacy' and 'science and engineering career choice' sub-factors except 'consideration' and 'usefulness / value recognition' sub-factors (p < .05). Fourth, in the STEAM satisfaction test conducted after class application, the average values of sub-factors were 3.16~3.90. The results indicated that students' understanding and interest in the science subject improved significantly through the big data-based STEAM program using the WWT.

• Journal of The Korean Association For Science Education
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• v.26 no.2
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• pp.246-257
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• 2006

TIMSS (Trends in International Mathematics and Science Study) aims to produce reliable and internationally comparable indicators of student achievement. The TIMSS science achievement scale summarizes student performance on test items designed to measure a wide range of student knowledge and proficiency. This study analyzed Korean middle school students' science achievement at the advanced and high international benchmarks of the four benchmark levels of the benchmarks classified in TIMSS 2003 in light of science content areas (physics, chemistry, biology, earth science, and environmental science) and item characteristics. The average percent correct on items at the advanced benchmark by Korean students was highest in physics followed by earth science, biology, chemistry, and environmental science, whereas internationally the order was earth science, chemistry, biology, physics and lastly environmental science. Korean students performed relatively better in physics yet somewhat worse in chemistry than other top-performing countries. According to item analysis, Korean students reaching the advanced international benchmark understood some fundamentals of scientific investigation, but demonstrated weakness in written explanations of scientific principles, abstract science concept comprehension, and application of scientific concepts to solve quantitative problems. In addition, Korean students reaching the high international benchmark demonstrated relative weak conceptual understanding of ecology compared with other countries.

• Communications of Mathematical Education
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• v.32 no.3
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• pp.275-296
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• 2018

The purpose of this study is to investigate the change of gaze and the change of the proof learning achievement after learning the analytic method for proof to mathematical gifted students using eye tracking technique. In order to complete the purpose of this study, a mixed method research was used, that is a combination of quantitative and qualitative research methods. Quantitative analysis was conducted based on the data obtained through the eye tracker, and qualitative analysis was also done using post interview data to make up for the quantitative analysis. The subjects of this study were 8 mathematical gifted 3rd grade middle school students in the gifted education center. The conclusions of this study are as follows. First, the learning of analysis leads to a change of gaze in the proof learning of students. The students, after learning the analysis, moved their gaze from the bottom to the top when solving the proof problem, and the occupancy rate of the gaze to the bottom of the proof was higher than the higher part. Second, the change of gaze caused by the learning of the analysis have a correlation with the achievement of the proof learning and it can be seen that the method learning improves the achievement of the proof learning of the students.