• Journal of Educational Research in Mathematics
• /
• v.26 no.4
• /
• pp.715-730
• /
• 2016

The purpose of this study is to analyze Descartes's point of view on the mathematical connection of algebra and geometry which help comprehend the traditional frame with a new perspective in order to access to unsolved problems and provide useful pedagogical implications in school mathematics. To achieve the goal, researchers have historically reviewed the fundamental principle and development method's feature of analytic geometry, which stands on the basis of mathematical connection between algebra and geometry. In addition we have considered the significance of geometric solving of equations in terms of analytic geometry by analyzing related preceding researches and modern trends of mathematics education curriculum. These efforts could allow us to have discussed on some opportunities to get insight about mathematical connection of algebra and geometry via geometric approaches for solving equations using the intersection of curves represented on coordinates plane. Furthermore, we could finally provide the method and its pedagogical implications for interpreting geometric approaches to cubic equations utilizing intersection of conic sections in the process of inquiring, solving and reflecting stages.

• Journal of the Korean School Mathematics Society
• /
• v.17 no.2
• /
• pp.251-274
• /
• 2014

The purpose of this study is to analyze characteristics of PCK before class, investigate how these characteristics are enacted in classrooms when beginning and experienced teachers teach mathematical functions, and provide pedagogical implications. Two beginning teachers and two experienced teachers participated in the study. In order to analyze characteristics of PCK before class, interviews and survey research were conducted. An investigation of classroom discourse was used to examine how the PCK characteristics appear in classrooms. Results show that experiences teachers enacted their PCK about learner, curriculum, teaching methods, and teaching environment in classrooms, whereas beginning teachers could not show their PCK. These results suggest practical implications for the developments of teacher education curriculum and teacher training program.

• Communications of Mathematical Education
• /
• v.24 no.1
• /
• pp.177-193
• /
• 2010

The purpose of this study is to explore normal distribution in probability distributions of the area of statistics in high school mathematics. To do this these contents such as approximation of normal distribution from binomial distribution, investigation of normal distribution curve and the area under its curve through the method of Monte Carlo, linear transformations of normal distribution curve, and various types of normal distribution curves are explored with CAS calculator. It will not be ablt to be attained for the objectives suggested the area of probability distribution in a paper-and-pencil classroom environment from the perspectives of tools of CAS calculator such as trivialization, experimentation, visualization, and concentration. Thus, this study is to explore various properties of normal distribution curve with CAS calculator and derive from pedagogical implications of teaching and learning normal distribution curve.

• Communications of Mathematical Education
• /
• v.36 no.4
• /
• pp.589-610
• /
• 2022

This study aimed to derive pedagogical implications by comparing and analyzing how the concept of pi is taught in 10 different elementary mathematics textbooks, which are scheduled to be applied from 2023. We developed a textbook analysis framework by previous studies on the concept of pi and the teaching of pi, and analyzed in terms of three instructional elements (i.e. inferring conceptsof pi, understanding properties of pi, and applying relationships). We derived the need to emphasize various contexts for estimation of pi, presentation of problem situations that provide motivation to actually measure diameters and circumferences, providing an opportunity to explore the properties of measurement, and an experience the flexibility of selecting an approximate value of pi. Based on the above conclusions and pedagogical implications through the research results., we suggested ways to teach the concept of pi in elementary mathematics and improvement points for developing textbooks focusing on the context of introduction of pi and the use of technological tools.

• Journal of Korean Elementary Science Education
• /
• v.29 no.3
• /
• pp.350-363
• /
• 2010

Recently there has been increasing emphasis on pedagogical content knowledge (PCK) for fostering science teachers' teaching professionalism that needs to be done from teacher training courses systematically. We investigated what were the PCK factors considered in planning instruction and the difficulties encountered in implementing it by pre-service teachers. In this study, 26 sophomores at an university of education in Gyeonggi province were asked to perform teaching demonstrations using scientific instruction models. They were also requested to write reflective journals and interview. Analyses of the results revealed that many pre-service teachers considered the teaching strategies such as the instruction organization and implementation when planning instruction. They had also regard to the learners' cognitive affective aspects, whereas the pre-knowledge of them was not properly considered. Especially, the curriculum and assessment were almost disregarded. Most of the difficulties encountered in planning instruction and implementing it were appeared in terms of the teaching strategies. For example, they had difficulties in considering the characteristics of each stage presented by the instruction models when planning instruction and implementing it. The frequencies of the difficulties in implementing experiment were especially higher than those of the other PCK factors. Educational implications of these findings are discussed.

• Educational Technology International
• /
• v.17 no.1
• /
• pp.87-116
• /
• 2016

In this research, we designed a teacher professional development (PD) program where a small group of mathematics teachers could share, reflect on, and discuss their pedagogical knowledge and practices of ICT-integrated lessons, using a video annotation tool called DIVER. The main purposes of this paper are both micro and macro: to examine how the teachers were engaged in the meaning-making process in a video-based PD (micro); and to derive implications about how to design effective video-based teacher PD programs toward a teacher community of practices (macro). To examine teachers' meaning-making in the PD sessions, discourse data from a series of 10 meetings was segmented into idea units and coded to identify discourse patterns, focusing on (a) participation levels, (b) conversation topics, and (c) conversation depth. Regarding the affordance of DIVER, discourse patterns of two meetings, before and after individual annotation with DIVER were compared through qualitative vignette analysis. Overall, we found that the teacher discourse shifted the focus from surface features to deeper pedagogical issues as the PD sessions progressed. In particular, the annotation function in DIVER afforded the teachers to exercise descriptive analyses of video clips in a flexible manner, thereby helping them cognitively prepared to take interpretative and evaluative stances in face-to-face discussions with colleagues. In conclusion, deriving from our research experiences, we discuss the possibilities and challenges of designing video-based teacher PD in a school context.

• Journal of the Korean earth science society
• /
• v.34 no.5
• /
• pp.428-434
• /
• 2013

In this commentary, I examined the implications of Existentialism for science teaching and teacher education. Existentialist thoughts and premises can be used to explore the human element in an educational system. Before emphasizing the pragmatic and technical aspects of teaching, we need to rethink why we teach and recognize our learners as unique beings in a continual process of becoming. By incorporating the existential perspective into curriculums and pedagogies of science education, we can help learners to make their existences and experiences meaningful. This paper consists of three parts. In the first part, I drew on relevant aspects of Existentialism and its implications on the views of the learner. In the second part, I examined the competency-based curriculum in light of Existentialism. Existentialism aims, in part, to develop an educated person who possesses a clear sense of personal identity, a critical attitude, and the inclination to be a life-long learner, and so on. These characteristics are consistent with the implications developed from the competency-based curriculum. In the third part, I explored pedagogical activities consistent with existentialist thinking the ultimate goal of which is to create authentic individuals who can take responsibility for being humans. In the conclusion, I discussed how existentialist ways of thinking and teaching call for the science teacher's reflective practices, where the teacher needs to integrate personal and professional knowledge as the situation demands.

• Journal of the Korean earth science society
• /
• v.23 no.3
• /
• pp.221-233
• /
• 2002

This study investigated preservice science teachers' understandings of philosophical foundations(i.e., ontological and epistemological beliefs) underlying constructivist notions of learning. The teacher education program these subjects participated in explicitly addressed philosophical notions consistent with different views of constructivism. For these preservice science teachers, the program provided them with the opportunity to reflect upon the implications that their ontological and epistemological commitments had for their role as a science teacher. Data from four in-depth interviews were used to explore changes in each preservice science teacher's ontological beliefs, epistemological commitments, and pedagogical preferences. Results indicated that ontological beliefs and epistemological commitments were not necessarily consistent with conceptions of science teaching and learning for these preservice teachers. While some students internalized idealist and relativist perspectives, they did not integrate these relativist epistemological views into their preferred instructional practices. Also, regarding the fallible and tentative nature of knowledge, data in this study indicated that participants' epistemological beliefs about scientific Knowledge did influence how they were thinking about their roles as science teachers. Implications for teacher education programs and research on preservice science teacher's philosophical beliefs are discussed.

• Journal of the Korean earth science society
• /
• v.23 no.3
• /
• pp.242-258
• /
• 2002

This study investigated preservice teachers' understandings of the ontology and epistemology underlying constructivist notions of teaming. Throughout this study, the epistemological, ontological, and pedagogical characteristics for each teacher's developing views of learning were identified through four in-depth interviews. Data from interviews were used to create three profiles containing ontological beliefs, epistemological commitments and pedagogical beliefs. This study has demonstrated that the notion of a constructivist profile change has significant potential for informing the analysis and description of preservice teachers' beliefs changes. Major findings include: constructivist profile changes overtime, diversification of profile components over time, features of the teachers' pedagogical belief profile changes, and teachers' unawareness of their profiles. However, changes in ontological beliefs and epistemological commitments were not easy, nor were they easily internalized for these teachers. The implications of this research are that preservice teachers should be aware of coexisting different categories of their learning-to-teach profiles, and that teacher educators should provide these preservice teachers with instruction designed to change preservice teachers' profiles towards increasing constructivist views of teaching and learning and restricting other undesirable categories.

• Journal of The Korean Association For Science Education
• /
• v.34 no.4
• /
• pp.393-406
• /
• 2014

Pedagogical Content Knowledge (PCK) is intrinsically domain/topic-specific knowledge for teachers' expertise. On the basis of this idea about PCK, we investigated in-service science teachers' topic-specific PCK on the unit of stars and universe in terms of teachers' knowledge and practices. We observed four middle school science teachers' classes for eighth graders, and took the videos of the classes. The topics of the classes covered constellation, annual parallax and the distance of stars, and the expansion of the universe. We also examined the teachers' pedagogical thinking through video stimulated recall interviews. In addition, we developed a protocol to analyze the levels of participant teachers' PCK and the characteristics revealed in their classes on each topic. Results of the study showed that the participant teachers' level of PCK varied across the topics of classes and the sub-components of PCK. We also identified teaching orientations played key roles in shaping overall characteristics of their PCK. Moreover, astronomical thinking such as spatial thinking and system thinking, was not appropriately embedded as the specific practices into the astronomical concepts in their instructions. We discussed the implications on the progressions of teachers' PCK in terms of their professional development.