• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.499-518
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• 2013

The purpose of this study is to examine the preservice secondary mathematics teachers understanding and dimensions of knowledge about definition of irrational numbers and irrational numbers and operations. I adopted a framework consisting of formal dimensions, intuitive numbers, algorithmic dimentions suggested by Tirosh et al.(1998) by adding instrumental dimension for his study. I surveyed 65 preservice secondary mathematics teachers who are in bachelor program and post-bachelor program for teacher certificate by using a questionnaire suggested by Sirotic and Zazkis(2007). The results of this study suggest that 83.1% of the participants gave correct answers in definitions of irrational numbers. 43% of the preservice secondary teachers gave correct answers in adding with irrational numbers. Also 91% of the preservice teachers gave correct answers in multiplying irrational numbers. The preservice teachers appeared to understand irrational numbers and operations at formal dimension. More than half of the preservice teachers gave incorrect answers in adding irrational numbers and a few participants gave incorrect in multiplying irrational numbers. The preservice teachers seemed to understand irrational numbers and operations at intuitive or instrumental dimension. The results also suggest that the preservice secondary mathematics teachers have incorrect understanding about irrational numbers.

• East Asian mathematical journal
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• v.34 no.4
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• pp.463-486
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• 2018

This study identifies elements involved in designing rehearsals for improving preservice teachers' capacity to teach mathematics. Observation of a secondary mathematics methods course and regular interviews with the teacher educator following each class were used in this research. After characterizing what is considered and enacted in rehearsals as a way to help preservice teachers practice the work of teaching mathematics, I illustrate them with examples from the observations and interviews. I then discuss the challenge of dual contexts-the teacher education classroom and the secondary mathematics classroom-and dual perspectives-the mathematical and pedagogical-in designing and enacting rehearsals. I conclude with implications for mathematics teacher education.

• The Mathematical Education
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• v.46 no.4
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• pp.357-369
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• 2007

Teachers and students' knowledge of zero was investigated through data collected from 16 preservice secondary mathematics teachers and 20 gifted secondary school students. Results showed that these teachers and students had an inadequate knowledge about zero. They exhibited a reluctance to accept zero as an attribute for classification, confusion as to whether or not zero is a number, and stable patterns of computational error. Although leachers and researchers have long recognized the value of analyzing student errors for diagnosis and remediation, students have not been encouraged to take advantage of errors as learning opportunities in mathematics instruction. The article suggests using errors as springboards for inquiry in action, discusses its potential contributions to mathematics instruction by analyzing students and preservice teachers errors related to zero.

• Journal of the Korean School Mathematics Society
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• v.20 no.3
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• pp.303-323
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• 2017

This is a multiple-case study of how preservice secondary mathematics teachers teach a particular mathematics using a technological tool. In a performance interview, the preservice teachers demonstrated how they would teach a specific mathematical topic using Geometer's Sketchpad. The results of this study showed that the preservice teachers designed diverse types of lesson plans and implemented different pedagogical and technological techniques in their teaching demonstrations. The findings suggest that preservice teachers' pedagogical content knowledge is an important factor in the integration of technology into their mathematics teaching. Thus, mathematics teacher educators should help preservice teachers gain a robust pedagogical content knowledge in order to effectively teach mathematics with technological tools.

• Journal of the Korean earth science society
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• v.27 no.6
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• pp.606-619
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• 2006

In this paper we investigated the types of the explanatory consistency of preservice secondary teachers in explaining the lunar phase. The explanatory consistencies were proposed into four discrete mental models depending on their attributes. The four types based on the explanatory consistency by the preservice secondary teachers' explanations are as follows: ad hoc expansion, competitive theory addition, transition of unexplainable each, and transition using in context of several situations.

• Journal of The Korean Association For Science Education
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• v.25 no.2
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• pp.133-145
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• 2005

The purpose of this study was to identify the relation between preservice teachers' philosophical views on science and types of responses to alternative hypotheses. To identify preservice teachers' philosophical views on science, the extraterrestrial impact theory and the volcano-greenhouse theory, alternative hypotheses related to dinosaur extinction were administered to 37 elementary preservice teachers and 52 secondary preservice teachers. Subjects were required to write down their ideas before and after reading the alternative hypotheses, and then the dimensions of responses to initial ideas were analyzed. To analyze, Soh's Philosophical Perspectives Prove(PPP) was used. The results of this study were as follows: (a) elementary and secondary preservice teachers' philosophical views on science corresponds to eclecticism, (b) the main types of responses were partial theory change in elementary preservice teachers and rejection in secondary preservice teachers, (c) preservice teachers' philosophical views on science and types of responses were eclecticism-partial theory change in elementary preservice teachers and eclecticism-rejection in secondary preservice teachers.

• The Mathematical Education
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• v.43 no.2
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• pp.199-210
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• 2004

This study investigates 55 preservice secondary mathematics teachers' situational understanding of functional relationship. Functional thinking is fundamental and useful because it develops students' quantitative thinking about the world and analytical thinking about complex situations through examination of the relations between interdependent factors. Functional thinking is indispensable for understanding natural phenomena, for investigation by science, and for the technological inventions in engineering and navigation. Therefore, it goes without saying that teachers should be able to represent and communicate about various functional situations in the course of teaching and learning functional relationships to develop students' functional thinking. The result of this study illustrates that many preservice teachers were not able to appropriately represent and communicate about various functional situations. Additionally, it shows that most preservice teachers have limited understanding of the value of teaching function.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.691-715
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• 2015

This study explored preservice secondary mathematics teachers' mathematical knowledge for teaching [MKT]. In order to measure preservice teachers' MKT, we developed items according to Ball, Thames & Phelps (2008)'s domains and conducted to 53 preservice teachers. Also, we interviewed 1 preservice teacher with the items and a set of interview questions. The findings from the data analysis suggested as follows: a) overall, the preservice teachers scored average 30.2 out of 100; b) the preservice teachers appeared to be unable to explain students' difficulties in learning a specific mathematical idea and how they would respond to and resolve such difficulties.

• Journal of The Korean Association For Science Education
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• v.12 no.1
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• pp.103-118
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• 1992

Quality control of science teachers seems to be one of the most important tasks to improve the quality of science education in Korea. The purposes of this study, as a survey, were to identify characteristics of good science teachers and to make an outline of preservice teacher education curriculum for cultivating the characteristics from inserivce secondary science teachers. A questionnaire was developed for this study and distributed to 176 inservice teachers. It had three parts: 1) characteristics of good science teachers, 2) weights of preservice curriclum areas, and 3) weights of college courses. The means and standard deviations of teachers' responses were calculated. To test the differences between teacher variables, t-tests were executed. The inservice teachers perceived that the junior-high school teacher's characteristics should be different from the senior-high school teacher's. Characteristics, such as enthusiasm toward teaching or students, subject knowledge, content selection and organizing skill, teaching techniques, and scientific worldview were ranked within top five of good science teacher's chracteristics. The teachers' perception about preservice curriculum were as follows: 1) present weight of liberal arts area should be reduced: 2) weight of content area for junior-high school teachers should be different from that for senior-high school teachers: 3) present weight of pedagogy area should be increased: 4) present weight of science education area should be increased: and 5) many courses in pedagogy and sciencd education areas need to be changed, Based on the data and disussion, a conceptual model for preservice teacher education curriculum was proposed.

• Journal of The Korean Association For Science Education
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• v.14 no.2
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• pp.199-213
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• 1994

The quality of science teachers is one of the most important factors to improve the science education in secondary schools. In this study the current status of preservice education of secondary science teachers was surveyed and the directions for the improvement were suggested as follows: 1. The purposes of departments of science education have to be partially revised to include other education programs related to science education than preservice training courses of science teachers. 2. Training courses of integrated science teacher should be organized differently from those of physics, chemistry, biology or earth science teachers because their requirements are different. 3. Strict standards of curricula for training science teacher have to be established and applied practically. 4. The curricula of departments of science education have to reflect the contents and the changes of secondary science education. 5. More credits to subjects on the science education, the nature of science, and the laboratory experiments should be taken in the preservice courses of science teachers. 6. Professors at the department of science education have to use various methods to teach inquiry lab and evaluation techniques so that students can experience them at the training courses. 7. The number of professors majoring in science education at the department of sciece education should be increased. 8. Enough research funds have to be supported to activate the researches in science education.