• School Mathematics
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• v.18 no.2
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• pp.301-322
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• 2016

Even though measurement is an important strand of elementary mathematics education, there has been lack of research in this field. This study analyzed topics related to length and time in a series of mathematics textbooks aligned to 2007 or 2009 revised mathematics curriculum. The analysis was focused on three aspects: (a) overall instructional components of measurement, (b) instructional components specific to the topics of measurement, and (c) key competencies in mathematics. The results of this study showed that many topics dealing with length and time were represented with relation to real-life contexts or other subjects. The meanings of measurement terms and the necessity of calculation were well explained but other aspects still had room for improvement when it comes to the necessity of measurement units, appropriate choice of units, and use of students' common misconceptions. Another noticeable result was that problem solving, communication, and reasoning among key competencies in mathematics have been emphasized in the mathematics textbooks. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with length and time.

• Journal of Gifted/Talented Education
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• v.20 no.3
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• pp.1027-1037
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• 2010

Comparing to the other subject, the relationship among physics contents is strong from the perspective of knowledge order as grades go up. That is, The things already that students learned, are learning and will learn are closed related from grade to grade. We expect students to be proactive and creative in studying physics, which is the goal of 21th century, analyzing their knowledge structure based on the knowledge order through assessment. Especially, using computer system, we provide students with substantial feedback for the assessment as well as objective validity is increased along with speedy and exact process in a bid to help students' mathematical understanding grow. This paper seeks to analyze the data from assessment applying knowledge spaces of the scientifical gifted in the force and the motion concept to applicate on teaching method.

• Journal of the Korean earth science society
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• v.23 no.6
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• pp.461-473
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• 2002

Concept mapping is a device for representing the conceptual structure of a subject discipline in a two dimensional form which is analogous to a road map. In the teaching and learning of earth science, each concept depends on its relationships to many others for meaning. Using concept mapping in teaching helps teachers and students to be more aware of the key concepts and relationships among them. The purpose of this study is to investigate the effect of the use of concept mapping on science achievement and the scientific attitude in ocean units of earth science. The results of this study are as follows; first, the science achievement of a group of concept mapping teaching is significantly higher than that of the group of traditional teaching. Also, when the achievement levels are compared among different cognitive ability groups, the effect is more significant in mid or lower level student groups than in high level groups. The use of concept mapping is more effective when the concepts have a distinct concept hierarchy. Second, the scores of the test of ‘attitude toward scientific inquiry’ and ‘application of scientific attitude’ of the group of concept mapping teaching are significantly higher than those of the group of traditional teaching, whereas the scores of the test of ‘interest in science learning’ of concept mapping teaching is not different from those of group of traditional teaching. Third, the survey on the use of concept mapping shows a positive response across the tested groups. The use of concept mapping is more beneficial in fostering the comprehension of the topic. A concept map of student's own construction facilitates the assessment of learning, thus promising the usefulness of concept mapping as a means of evaluation. In regard to retention aspect, concept mapping is considered to be more effective in confirming and remembering the topic, while less effective in the aspects of activity and interest. In conclusion, the use of concept maps makes learning an active meaningful process and improves student's academic achievement and scientific attitude. If the concept mapping is more effectively as an active teaching strategy, more meaningful learning will be attained.

• Journal of the Korean School Mathematics Society
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• v.18 no.1
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• pp.83-102
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• 2015

This study would suggest to analyze the perceptions of good mathematics teaching in high school and offer the resolutions for the conflicts caused by differences in perception between teachers and students in math class through previous studies and comparative implications. To this end, Students are classified by their courses, grades, gender awarenesses and they were analyzed and compared by the survey results. Although the preference for the math class that fixs the misconception of students is highest, regardless of the kinds of students groups. Academic students, middle-ranked students, female students have high affinity for the class to evaluate the material covered in class and take into account their level of assessment and instruction, low-ranked student's preference is higher for the class that has focused on understanding communicating their thinking processes than students. From this, it is suggested that academic students, low-ranked students are needed to be taught in a way that increases their confidence, interests, values and also in atmosphere that make math class a positive experience.

• Communications of Mathematical Education
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• v.30 no.1
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• pp.23-46
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• 2016

This study is aimed to implement a preferred generalization classes for gifted students. By designing and applying the generalization lesson using GSP, we tried to investigate the characteristics on the class. To do this, we designed a lesson on generalization of Viviani theorem and applied to 13 8th grade students in a math gifted class. As results, we could extract five subjects as followings; mediating the conjecture by GSP and checking the pattern, misunderstanding the confirm by GSP as a proof and its overcoming, digressing from the topic and cognitive gap, completing the proof by incomplete conjecture, gap between the generalization and understanding generality. Based on this subjects, we discussed the educational implications in order to help implement a preferred generalization classes for gifted students.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.295-323
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• 2011

This study is based on the recognition that teacher educators have to focus their attention on developing pre-service teachers' statistical reasoning for statistics education of school mathematics. This paper investigated knowledge on pre-service teachers' statistical reasoning. Statistical Reasoning Assessment (SRA) is performed to find out pre-service teachers' statistical reasoning ability. The research findings are as follows. There was meaningful difference in the statistical area of statistical reasoning ability with significant level of 0.05. This proved that 4 grades pre-service teachers were more improve on statistical reasoning than 2 grades pre-service teachers. Even though most of the pre-service teachers ratiocinated properly on SRA, half of pre-service teachers appreciated that small size of sample is more likely to deviate from the population than the large size of sample. A few pre-service teachers have difficulties in understanding "Correctly interprets probabilities(be able to explain probability by using ratio" and "Understands the importance of large samples(A small sample is more likely to deviate from the population)".

• The Mathematical Education
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• v.61 no.3
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• pp.457-476
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• 2022

Mathematics textbooks as the main resources to support mathematical teaching and learning are used importantly in Korean lessons. Although the scope of mathematics textbook research has been expanded and the research has increased, few studies have analyzed the overall trends of mathematics textbook research in Korea. This study analyzes the overall trends of textbook research on 418 papers pertinent to mathematics textbooks published in domestic mathematics education journals. The results of this study showed that the proportion of textbook analysis research was the highest, followed by textbook use and textbook development research in order. There were more textbook studies at the elementary school level than at the middle or high school levels. Regarding textbook analysis studies, the most frequent topic was to analyze how specific mathematical concepts were presented in textbooks. Regarding textbook use studies, many studies asked both teachers and students to review the appropriateness of textbooks under development or analyzed the perception and use of specific activities of textbooks based on a survey. Regarding textbook development studies, the most popular topics included the directions and examples of new development, such as storytelling-based or electronic textbooks. This paper finally presented implications for textbook research in light of the domestic mathematics education context and the international mathematics textbook research trends.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.657-673
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• 2015

In this study, we are interested in the teachers' MCK about '$N{\div}0$' and MPCK in relation to the proper ways to teach it. Even though '$N{\div}0$' is not on the current curriculum and textbooks of elementary school mathematics, a few students sometimes ask a question about it because the division of the form '$a{\div}b$' is dealt in whole number including 0. Teacher's obvious understanding and appropriate guidance based on students' levels can avoid students' error and have positive effects on their subsequent learning. Therefore, we developed an interview form to investigate teachers' MCK about '$N{\div}0$' and MPCK of the proper ways to teach it and carried out individual interviews with 30 elementary school teachers. The results of the analysis of these interviews reveal that some teachers do not have proper MCK about '$N{\div}0$' and many of them have no idea on how to teach their students who are asking about '$N{\div}0$'. Based on our discussion of the results, we suggest some didactical implications.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.203-227
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• 2012

This was to investigate how the slow learners who specially belonged to low-SES, or North Korean defectors showed their errors in mathematical learning. To conduct the study, two groups for each minority group participated in the study volunteerly during the Winter vacation, in 2011. Based on the preliminary interviews, a total of 15 units were given, focusing on building mathematical basic concepts. As results, they had some errors in common. They both were in lack of understanding of the terminologies and not able to apply the meanings of definitions and theorems to a problem. Because of uncertainty of basic knowledge of mathematics, they easily lost their focus and were apt to make a mistake. Also, they showed clear differences. North Korean defectors were not accustomed to using or understanding the meanings of Chines or English in Korean words in expressing, writing mathematical terminologies and reading data on the context. Technical errors, and misinterpreted errors were found. However, students from the low SES showed that they were familiar with mathematical words and terminologies, but their errors mostly belonged to carelessness because of the lack of mastering mathematical concepts.

• Journal of Soil and Groundwater Environment
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• v.8 no.4
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• pp.12-20
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• 2003

This study presents a mathematical model for simulating the fate and transport of a reactive organic contaminant, TCE, degraded by cometabolism in dual-porosity soils during the installation of in situ biobarrier. To investigate the effect of dual-porosity on transport and biodegradation of organic hydrocarbons, a bimodal approach was incorporated into the model. Modified Monod kinetics and a microcolony concept were employed to represent the effects of biodegrading microbes on the transport and biodegradation of an organic contaminant. The effect of permeability reduction in biobarrier due to biomass accumulation on the flow field were examined in the simulation of a hypothetical field-scale in situ bioaugmentation. Simulation results indicate that the presence of the immobile region can decrease the bioavailability of biodegradable contaminants and that the placement of microbes and nutrients injection wells should be considered for an effective installation of biobarrier during in situ bioaugmentation scheme.