• Journal of the Korean earth science society
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• v.31 no.1
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• pp.95-105
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• 2010

The purpose of this study lies in applying generalizability theory depending on the aim of the usage of GALT to analyze the sources of error of single-facet considering item and person only and to analyze the sources of error of multi-facet considering item, person and domain. The study was conducted with 1016 students of local elementary, middle, and high schools. The 21 items of a full version were answered for 40 minute and then the 12 items of short version were sampled to analyze reliability using generalizability theory. Both the full version and the short version of the items were analyzed using Cronbach's alpha for data analysis, and we applied generalizability theory and separate $p{\times}i$ design and $p{\times}(i:h)$ design, G study and D study were performed. Results of analysis are as follows: First, the result of D study after $p{\times}I$ design both on the full version and the short version showed that in the case of the full version, the generalizability coefficient was 0.87 exceeding a normal level of 0.80, and the normal level of generalizability coefficient was achieved in 13 items as well. In case of short version, when 12 items were evaluated, generalizability coefficient was 0.77 not reaching the normal level, and the normal level was achieved in case of more than 15 items. Second, the result of D study after $p{\times}(I:H)$ design on the short version showed that once one domain consists of 2 items in 6 domains, generalizability coefficient was 0.71 which is lower than the normal level of 0.80, the normal level was achieved in more than 5 item cases.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.2
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• pp.247-272
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• 2019

The purpose of this study is to analyze the teaching of statistical graphs according to elementary mathematics curriculum. To do this, we set up three research questions as follows. First, what is the change in achievement standards related to the teaching of statistical graphs in elementary mathematics curriculum? Second, what is the change in the teaching of the drawing of statistical graphs in elementary mathematics curriculum? Third, what is the change in the teaching of understanding of statistical graphs in elementary mathematics curriculum? For the first research question, we analyzed the achievement standards related to the teaching of the statistics of the 2015 revised curriculum from the first curriculum. For the second research question, we analyzed how to provide students with the opportunity to draw graphs(number of drawings) and whether to present the basic frame of the graphs(frame provided). For the third research question, we analyzed questions in the textbooks based on the graph understanding; 'reading data', 'finding the relation between data', 'interpreting data', 'understanding the situation'. As a result of the analysis, the achievement standard in the curriculum has changed in the direction of fostering statistical thinking, and it has been changed to emphasize the interpretation of the graph so as to make the graph drawing easy. However, 'interpreting data' and 'understanding the situation' were still lacking.

• Journal of Science Education
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• v.35 no.2
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• pp.193-203
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• 2011

The purpose of this study is to investigate and analyze high school girls' observational characteristics. A total of 77 female high students were asked to observe 'Las Meninas', a well known 17th century painting by Diego Velazquez and volumetric flask. MBTI(Myer Briggs Type Indicator) was implemented for student's personal characteristics. We analyzed testimony into its differences between objective and practical, and subjective and abstract, wholeness by character type. As a result, 41 participants have preference for sensuous recognition and the rest of the 36 participants have preference for intuitional recognition. From the observation statement, it showed differences of the results according to their character type. As the result that it showed above, learners used two ways of recognition but they showed tendency with strong reliance on their preferred recognition. In case of preferring the sensuous recognition, it tended towards the basis of phenomenological analysis, objective fact and physical judge. However, in case of preferring the intuitional recognition, it tended to observe by momentary thinking, flash of idea and meaning behind.

• Journal of Science Education
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• v.36 no.2
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• pp.167-185
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• 2012

This study aimed at finding points of improvement in teaching expertise by analyzing the question patterns that appeared during teaching demonstrations which applied science teaching models prepared by a pre-service biology teacher. The question analysis frame for analyzing question types were categorized largely into the question types of Category 1 (questions in cognitive domain, questions with research function, questions in affective domain), Category 2 (repeated questions, questions for narrowing the range, practice questions), and Category 3 (questions on student activity progress, memory questions, and thinking questions). The results of analyzing question patterns from five different science teaching models revealed a high frequency of questions in the fields of cognition and memory. For the circular learning model, questions from the cognitive field appeared the most often, while, student activity progressive questions in particular were used mostly in the 'preliminary concept introduction stage' of the circular learning model and the 'secondary exploratory stage', in which experiments were conducted, and displayed the characteristics of these stages. The discovery learning model combined the courses of observation, measurement, classification and generalization, but, during teaching demonstrations, memory questions turned up the most, while the portion of inquisitive function questions was low. There were many questions from the inquisitive learning model, and, compared to other learning models, many exploratory function questions turned up during the 'experiment planning stage' and 'experiment stage'. Definitional questions and thought questions for the STS learning model turned up more than other learning models. During the change of concept learning model, the five concepts of students were stimulated and the modification of scientific concepts was very much aided by using many memory questions.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.533-551
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• 2015

Problem posing in school mathematics is generally regarded to make a new problem from contexts, information, and experiences relevant to realistic or mathematical situations. Also, it is to reconstruct a similar or more complicated new problem based on an original problem. The former is called as problem generation and the latter is as problem reformulation. The purpose of this study was to explore the co-relation between problem generation and problem reformulation, and the educational effectiveness of each problem posing. For this purpose, on the subject of 33 pre-service secondary school teachers, this study developed two types of problem posing activities. The one was executed as the procedures of [problem generation${\rightarrow}$solving a self-generated problem${\rightarrow}$reformulation of the problem], and the other was done as the procedures of [problem generation${\rightarrow}$solving the most often generated problem${\rightarrow}$reformulation of the problem]. The intent of the former activity was to lead students' maintaining the ability to deal with the problem generation and reformulation for themselves. Furthermore, through the latter one, they were led to have peers' thinking patterns and typical tendency on problem generation and reformulation according to the instructor(the researcher)'s guidance. After these activities, the subject(33 pre-service teachers) was responded in the survey. The information on the survey is consisted of mathematical difficulties and interests, cognitive and affective domains, merits and demerits, and application to the instruction and assessment situations in math class. According to the results of this study, problem generation would be geared to understand mathematical concepts and also problem reformulation would enhance problem solving ability. And it is shown that accomplishing the second activity of problem posing be more efficient than doing the first activity in math class.

• Communications of Mathematical Education
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• v.33 no.4
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• pp.425-444
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• 2019

Comparing to the U.S. mathematics textbooks, this study examines the opportunity to learn statistical processes represented in mathematics textbooks reflecting 2015 revised curriculum. Analyzing four different kinds of Korean middle school mathematics textbooks and two kinds of corresponding U.S. textbooks for seventh graders, we found that the tasks dealing with all the phases of statistical processes were found only in the U.S. textbooks while not even one task in such a case was not observed in the Korean textbooks. To make matters worse, the proportion of the tasks dealing with only one phase of statistical processes was 93.3% of all the tasks in Korean textbooks. In terms of types of tasks, the types of tasks were very homogeneous in Korean textbooks, usually Types FPR or PR while more various types of tasks were found in the U.S. textbooks such as Types FRI, PRI, FR, or RI. In views of features of each phase in statistical processes, Korean textbooks heavily focused only on some particular statistical behaviors such as 'formulating a problem', 'collecting data', 'transforming data', and 'analyzing a part of data.' The findings of this study provide meaningful implications for improving statistics education and developing mathematics textbooks to enhance students' statistical thinking and problem-solving ability.

• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.791-818
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• 2016

This case study is performed to check the validity of cognitive behavioral therapy for high school students with mathematics anxiety. In order to find out whether it is effective or not, one female high school student who suffers physically and mentally from mathematics anxiety was selected and cognitive behavioral therapy was applied. The therapy is applied to her for 30 to 40 minutes, once a week, and for eight weeks. The main themes were: To understand my problem, To write down thinking log, To set up a plan for actions, To experiment actions, To change intermediate confidence, To change core belief. To check the validity, before and after the experiment, revised version of Heo(1996)'s assessment tools for mathematics anxiety was applied. The subject was interviewed and the results of the therapy were compared and analyzed. According to the research, the worst mathematics anxiety of the subject was test anxiety. After the procedure, the anxiety related to mathematics and teachers was lessened. Especially, the subject had changed her mind and become more positive and optimistic on solving difficult mathematics problems. Therefore, the effectiveness of cognitive behavioral therapy on mathematics anxiety was confirmed. It is required to construct special program - about cognitive behavioral therapy, interactions of cognitive-affective causes, and group therapy - and check the validity of it.

• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.635-662
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• 2016

Combinatorics, the basis of probabilistic thinking, is an important area of mathematics and closely linked with other subjects such as informatics and STEAM areas. But combinatorics is one of the most difficult units in school mathematics for leaning and teaching. This study, using the designed combinatorial models and executable expression, aims to analyzes the eye movement of graduate students when they translate the written combinatorial problems to the corresponding executable expression, and examines not only the understanding process of the written combinatorial sentences but also the degree of difficulties depending on the combinatorial semantic structures. The result of the study shows that there are two types of solving process the participants take when they solve the problems : one is to choose the right executable expression by comparing the sentence and the executable expression frequently. The other approach is to find the corresponding executable expression after they derive the suitable mental model by translating the combinatorial sentence. We found the cognitive processing patterns of the participants how they pay attention to words and numbers related to the essential informations hidden in the sentence. Also we found that the student's eyes rest upon the essential combinatorial sentences and executable expressions longer and they perform the complicated cognitive handling process such as comparing the written sentence with executable expressions when they try the problems whose meaning structure is rarely used in the school mathematics. The data of eye movement provide meaningful information for analyzing the cognitive process related to the solving process of the participants.

• Journal of Korean Home Economics Education Association
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• v.23 no.3
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• pp.37-51
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• 2011

The contents of 'Nutrition and Diet for Adolescents' in the 12 technology and home economics middle school 1st grade textbooks are analyzed based on the elaboration theory. The elaboration theory is the lecture strategy with 7 essential elements, proposed by Reigeluth. The elaboration strategies shown in 'Nutrition of Adolescents' and 'Diet for Adolescents' are all the same in 12 books, the conceptual elaboration, and the process elaboration, respectively. On the other hand, the elaboration strategies shown in 'Diet and Dietary Habit for Adolescents Nutrition Issues' and 'Proper Eating Habit and Nutrition Issues' are different depend upon the textbooks, all 3 conceptual, theoretical, and process elaborations strategies are shown. The element of pro study is presented by study objective, opening the thinking, and looking back. The summarizer is presented in all 11 but 1 textbooks by various activities and data. On the other hand, the element of analogy has the lowest implementation rate, only 3 among the 12 textbooks implement the analogy. The cognitive-strategy activator and learner control are shown in all 12 textbooks, mostly by data. Implementation of more activities and more analogies might be helpful to the students' participation and understanding the contents of 'Nutrition and Diet for Adolescents'.

• Journal of Gifted/Talented Education
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• v.21 no.3
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• pp.683-702
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• 2011

The purpose of the study is to explore the justification and the possibility of convertgent gifted education through science and arts. Because the nature of art make up the base of each discipline and the creative talents in the heart of gifted education can be achieved through arts education. In order to achieve the purpose of these studies, three aspects have been explored. First, the relevance between the ontological nature of arts and gifted education discussed in philosophical and aesthetic point of view was explored. Second, the practical possibility was confirmed through an analysis of previous studies about the science and arts for gifted education. Finally, by looking at today's social and cultural phenomenon and future talent, it was argued that the development of convergent talent must be needed in the future. This paper will be a springboard for follow-up study to prove the feasibility of convergent gifted education through identifying factors in creative thinking process of gifted students in science and arts. And views of convergent gifted education with artistic will be expanded further and newly recognized. In addition to, it is expected that this study will help the establishment and operation Arts Gifted Education Institute in University and Science and Arts Gifted School.