• Research in Mathematical Education
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• v.26 no.2
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• pp.45-61
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• 2023

Number talks as a brief instructional routine benefits students and teachers. In general, the routines consist of four steps- introducing, posing questions, collecting answers, sharing ideas. This paper focuses on the sharing ideas step in which multiple strategies are shared by students because teachers sometimes do not know what to do with these multiple ideas. One way is to support students to engage in comparison given that teachers are expected to support students to compare strategies in number talks. This paper explores whether and how 15 prospective teachers supported students in their practicum classroom to compare different strategies in their enacted number talk. In this paper, 15 videos of number talks enacted by the prospective teachers were collected. Analyzing the videos produced multiple episodes in relation to comparing strategies, including 1) where prospective teachers created pre-conditions for comparison, 2) where they invited students for comparison, 3) where they pressed students to compare, and 4) where they offered their own way to compare. There were two patterns that might limit the potential of having multiple strategies as conditions for comparison. Additionally, this paper found that even though the prospective teachers missed opportunities to support students to compare different strategies, there were two ways for teachers to support students to engage in comparison. These findings can be used for mathematics teacher educators to support prospective teachers.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.495-519
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• 2017

The purpose of this study is to analyze the concept of the real number e and to investigate the understanding of pre-service teachers about the real number e. 28 pre-service teachers were asked to take a test based on the various ideas of the real number e and 8 pre-service teachers were interviewed. The results of this study are as follows. First, a large number of pre-service teachers couldn't recognize relation between the formal definition and the representations of the real number e. Secondly, pre-service teachers judged appropriately for the irrationality and the construction impossibility of the real number e, but they couldn't provide reasonable evidence. Lastly, pre-service teachers understood the continuous compounding context and exponential function context of the real number e, but they had a difficulty in understanding the geometric context and natural logarithm context of the real number e.

• The Korean Journal of Community Living Science
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• v.15 no.2
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• pp.43-54
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• 2004

The purpose of this study is to examine the job satisfaction of teachers in urban and rural day care centers. The subjects of this study were 134 teachers in urban(n=68) and rural(n=66) areas. Participants completed an early childhood job satisfaction survey. The statistics used for this data were t-test, one-way ANOVA (Duncan's test), and multiple regression analysis. The study showed significant differences between urban and rural teachers' job satisfaction in the job itself, human relationships, and working environment. The job satisfaction of the teachers in urban day care centers was influenced significantly by the related variables: age of teacher, marital status, education level, educational career, capacity, number of classes, class size, working hours, and the age of the children in class. The job satisfaction of the teachers in rural day care centers was influenced significantly by the above variables. The important factors on predicting the job satisfaction of the urban day care teachers were found to be the age of teachers, educational career, education level, and number of classes. The important factors for predicting the job satisfaction of the rural day care center teachers were found to be the age of teacher, educational career, education level, number of classes and working hours.

• Journal of the Korean Society of School Health
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• v.24 no.2
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• pp.141-154
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• 2011

Purpose: The purpose is to provide basic information for establishing improvements on performance-based pay's evaluation method of health teachers. Methods: For subjects, 200 teachers at public elementary schools and 200 health teachers at public elementary schools in Gyeonggi-do were conveniently sampled, and then surveyed through a questionnaire. The questionnaire was to recognize recognition of teachers working under the teacher's performance-based pay system, which was quoted in the questionnaire of Choi ji-hye (2005) and Lee mi-gyeong (2008). Inquiry for the recognition of teachers on evaluation of health teacher's performance-based pay system and improvements on the performance-based pay's evaluation method of health teachers were used after consultation with five incumbent health teachers and a review with the thesis director. Results: The performance-based pay's evaluation method of health teachers has the same method with general teachers in schools, so it is not fair to evaluate the performance of health teachers. The ways to improve the performance-based pay evaluation method of health teachers is as follows: first, the approval on improving 'the number of class hours' which is a detailed item of a teacher's performance evaluation criterion to 'the number of health lesson hours per week and the number of students visiting the school infirmary per week'; second, improving 'life guidance' into 'counseling results of medically-treated students, parents of students and personal hygiene guidance'; third, improving 'a teacher in charge' into 'awarding of points by being recognized as a health teacher in charge of all students and considering the economic situation of the region,; forth, improving 'difficulty of position' into 'the number of health-teacher's annual promotion task items and the treatment number of issuing and receiving of official documents', and improving the 'task difficulty' into 'importance and urgency of emergency patient management, risk level and urgency of infectious diseases and avoiding work in charge' appeared to be more than 90% respectively. Conclusion: The performance-based pay system of teachers being carried out every year should be executed by preparing fair evaluation criteria suitable for task properties and the role of health teachers with different evaluation criteria compared to general teachers.

• Communications of Mathematical Education
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• v.25 no.4
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• pp.693-734
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• 2011

The purpose of this research is to analyze the pedagogical content knowledge on the natural number concepts of Korean Elementary School Teachers. Shulman(1986b) had developed a tool in order to understand teachers' knowledge, as he defined three types of knowledge in teaching ; Subject Matter Knowledge, Curricular Knowledge, and Pedagogical Content Knowledge. Pang(2002) defined two types of elements including in the ways of teaching ; individual element, and sociocultural element. Two research questions are addressed; (1) What is the pedagogical content knowledge of Natural number Concepts for Korean Elementary School Teachers? ; (2) What factors are included in the pedagogical content knowledge of Natural number Concepts for Korean Elementary School Teachers? Findings reveal that (1) the Korean Elementary School Teachers had three types of the pedagogical content knowledge on the natural number concepts; (2) Teacher Factors were more included than Social-Cultural Factors in the pedagogical content knowledge on the natural number concepts of the Korean Elementary School Teachers. Further suggestions were made for future researches to include (1) a comparative study on teachers between ordinary teachers and those who majored mathematics education in the graduate school. (2) an analysis on the classroom activities about the natural number concepts.

• Journal of the Korea Society of Computer and Information
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• v.4 no.4
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• pp.218-225
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• 1999

The purpose of this study is to investigate 1-10 year old kindergarten teachers of usage computer program in kindergarten. And the relations between the usage of computer program examined by students and kindergarten teachers were also investigated. The subjects were drawn from fifty kindergarten : 199 kindergarten teachers. The data were analyzed by frequency. percentage, $x^2$ test. The research findings were as follows: 1) There were differences in number of kindergarten teachers engaged by the computer. ( $x^2$＝ 138.486, df=36, p＜.001) 2) There were no differences in number of kindergarten teachers engaged by the kind of computer program. ($x^2$= 75.42, df=80 p＞.50) 3) There were differences in number of kindergarten teachers engaged by the kind of computer education program. ($x^2$= 519.566, df=64 p＜.001)

• The Mathematical Education
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• v.61 no.1
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• pp.157-178
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• 2022

Mathematics teachers' content knowledge is an important asset for effective teaching. To enhance this asset, teacher's knowledge is required to be diagnosed and developed. In this study, we employed problem-posing and problem-solving tasks to diagnose preservice teachers' understanding of fraction multiplication. We recruited 41 elementary preservice teachers who were taking elementary mathematics methods courses in Korea and the United States and gave the tasks in their final exam. The collected data was analyzed in terms of interpreting, understanding, model, and representing of fraction multiplication. The results of the study show that preservice teachers tended to interpret (fraction)×(fraction) more correctly than (whole number)×(fraction). Especially, all US preservice teachers reversed the meanings of the fraction multiplier as well as the whole number multiplicand. In addition, preservice teachers frequently used 'part of part' for posing problems and solving posed problems for (fraction)×(fraction) problems. While preservice teachers preferred to a area model to solve (fraction)×(fraction) problems, many Korean preservice teachers selected a length model for (whole number)×(fraction). Lastly, preservice teachers showed their ability to make a conceptual connection between their models and the process of fraction multiplication. This study provided specific implications for preservice teacher education in relation to the meaning of fraction multiplication, visual representations, and the purposes of using representations.

• The Mathematical Education
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• v.61 no.3
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• pp.375-396
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• 2022

With the importance for teachers of understanding students' strategies and providing appropriate feedback to their students, the purpose of this study is to analyze how prospective elementary teachers interpret and respond students' strategies for fraction tasks with number lines. The findings from analysis of 64 prospective teachers' responses were as follow. First, the prospective teachers in general could identify the students' understanding and errors based on their strategies, however, some prospective teachers overgeneralized students' mathematical thinking at a superficial level. Second, the prospective teachers could pose diverse tasks or activities for revising the students' errors, while some prospective teachers tried to correct students' errors by using only the area models. Based on these results, this study suggests for prospective teachers to have opportunities to understand elementary students' diverse problem strategies and to consider teaching methods with different fraction models.

• Journal of Korean Elementary Science Education
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• v.28 no.4
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• pp.450-466
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• 2009

The purpose of this study was to explore preservice elementary teachers' perceptions on models used in science and science education. Participants were sixty-one undergraduate students who were enrolled in a science education course offered at a university of education located in a mid-sized city, Korea. Data were obtained from the participants at the beginning of the course when they provided their answers to a questionnaire about models. The analysis revealed that a large number of the preservice teachers perceived models as representative of physical realities. By contrast, a relatively small number of them viewed models as representations of ideas or things like theories or hypotheses. Lots of the participants were apt to define a model from the perspective of its functions and considered the purposes of models communication, teaching, and understanding as well as visualization, simplification, and clarification. Most of the preservice teachers believed that there could be multiple models for a single target, and all of them answered that models could be changed in science. It was therefore concluded that the preservice teachers perceived properly the multiplicity and variability of models. Nevertheless, they could not elaborate how a model is used and evaluated in the process of scientific inquiry, and just a few of them mentioned the detailed nature of models. The preservice teachers possessed teacher-centered views of using models in the science classroom, and a small number of them remarked that they were going to use models for students to develop their own models and perform scientific inquiry.

• Korean Journal of Human Ecology
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• v.18 no.5
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• pp.1035-1046
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• 2009

The study was designed to explore mothers' and teachers' beliefs on children's literacy development by comparing their beliefs with the whole language approach. Also, their literacy practices at home and in the classroom were compared and how their literacy beliefs and practices were related was investigated. 176 mothers and 72 daycare teachers participated in this study in Kyunggi-do. Mean, standard deviation, frequency, t-test, and multiple regression were employed to analyze the data. The results showed that the mothers' age, mothers' education, fathers' education and family income mostly predict the mothers' literacy beliefs. Also the teachers' age, education, and their learning experiences with the whole language approach are the main predicting variables in the teachers' beliefs. In practices, the mothers' age, number of children, and fathers' education are independent variables predicting the mothers' practices. The teachers' age, education, interest about the whole language approach, learning experience, and number of children in the classroom are independent variables into the teachers' practices. Overall, teachers showed a higher level of beliefs on the whole language approach and did more literacy practices than the mothers.