• Research in Mathematical Education
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• v.18 no.3
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• pp.171-185
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• 2014

Mathematically deductive reasoning skill is one of the major learning objectives stated in senior secondary curriculum (CDC & HKEAA, 2007, page 15). Ironically, student performance during routine assessments on geometric reasoning, such as proving geometric propositions and justifying geometric properties, is far below teacher expectations. One might argue that this is caused by teachers' lack of relevant subject content knowledge. However, recent research findings have revealed that teachers' knowledge of teaching (e.g., Ball et al., 2009) and their deductive reasoning skills also play a crucial role in student learning. Prior to a comprehensive investigation on teacher competency, we use a case study to investigate teachers' knowledge competency on how to teach their students to mathematically argue that, for example, two triangles are congruent. Deductive reasoning skill is essential to geometry. The initial findings indicate that both subject and pedagogical content knowledge are essential for effectively teaching this challenging topic. We conclude our study by suggesting a method that teachers can use to further improve their teaching effectiveness.

• Journal of The Korean Association For Science Education
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• v.26 no.5
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• pp.660-673
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• 2006

There have been many attempts to determine the value and the role of school laboratory experiment, but it seems hard to find consensus among these attempts from the perspective of education. This difficulty seems mainly due to disagreement on the concept of education, which has caused an instrumental attitude considering the school laboratory only as a means of developing science or pursuing various functions of school. However, the Endogenous Theory of Education (ETE), which claims education as 'a form of life', has recently paved the way for laboratory experiment to be justified as an opportunity of 'educooperation' allowing students to experience the intrinsic values of education in the medium of science. According to this theory, it is not the detailed practicals but the whole context where the laboratory activity is situated that matters in revealing the inherent educational phenomena. Through this new perspective, I observed two biology laboratory classes in a high school and analyzed the pattern of teacher-student and student-student interactions. Some meaningful educooperation was found in students' chattering, which has been traditionally considered as merely noise in the classroom, rather than in teacher-student interactions. This study discusses the reasons for these findings in detail and culminates in suggesting ways for accentuating the educational aspect of school laboratory activity.

• Korean Journal of Community Nutrition
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• v.14 no.2
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• pp.158-167
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• 2009

This study was conducted to reduce children's fat intake and to establish healthy dietary lifestyles. To achieve these goals, we searched, collected, and analyzed the materials related to the fat education, based on which the research personnel-professors and graduate students in nutrition and child education and elementary school teachers-discussed to figure out major topics, objectives, and detailed contents and activities appropriate for fat intake reduction. We also organized an advisory committee composed of 15 professionals in related fields to discuss the adequacy and validity of the specific contents. Finally, we systematically organized the contents and developed children's textbooks and teacher's guidebooks. Considering the different cognitive development stages of junior and senior elementary students we developed two different textbooks for each of them which are easy to read and understand, fun to play with lots of activities, and designed to practice into daily life. The contents cover three major topics-the concept of lipid, lipid in food, lipid in life and are composed of 6 units in total. To help teachers understand and and to instruct, teacher's guidebooks contain an overview of the education, specific information and practical guidelines for each class. We developed these education materials with the aim of lowering children's fat consumption and eventually promoting their health welfare; hopefully we expect these materials would be useful for children's nutritional education in the field.

• School Mathematics
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• v.17 no.4
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• pp.613-632
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• 2015

In this study, we hope to reveal teacher knowledge necessary to address student errors and difficulties about ratio and rate. The instruments and interview were administered to 3 in-service primary teachers with various education background and teaching experiments. The results of this study are as follows. Specialized content knowledge(SCK) consists of profound knowledge about ratio and rate beyond multiplicative comparison of two quantities and professional knowledge about the definitions of textbook. Knowledge of content and students(KCS) is the ability to recognize students' understanding the concept and the representation about ratio and rate. Knowledge of content and teaching(KCT) is made up of knowledge about various context and visual models for understanding ratio and rate.

• Journal of Nutrition and Health
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• v.42 no.6
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• pp.567-576
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• 2009

This study was conducted to reduce sodium (Na) intake and to establish healthy dietary lifestyles of children. To achieve these goals, we searched, collected, and analyzed the materials related to the Na education, based on which the research personnel-professors and graduate students in nutrition and child education and elementary school teachers discussed to figure out major topics, objectives, and detailed contents and activities appropriate for Na intake reduction. Also a survey was done on the sodium intake and nutrition knowledge of the elementary students. We also organized an advisory committee composed of 15 professionals in related fields to discuss the adequacy and validity of the specific contents. Finally, we systematically organized the contents and developed children's textbooks and teacher's guidebooks. Considering the different cognitive development stages of junior and senior elementary students, we developed two different textbooks for each of them which are easy to read and understand, fun to play with lots of activities, and designed to practice into daily life. The contents cover three major topics-the concept of Na, Na in food, Na in life and are composed of 6 units in total. To help teachers understand and instruct, teacher's guidebook contains an overview of the education, specific information and practical guidelines for each class. We developed these education materials with the aim of lowering children's Na consumption and eventually promoting their health welfare; hopefully we expect these materials would be useful for children's nutritional education in the field.

• Communications of Mathematical Education
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• v.35 no.3
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• pp.257-275
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• 2021

This study investigated the prospective teacher's noticing of students' mathematical thinking from the perspective of how the prospective teacher pays attention to, interprets, and responds to the student's responses related to variables. The prospective teachers were asked to infer the students' thinking from the variables related to the tasks and suggest feedback accordingly. An analysis of the responses of 26 prospective teachers showed that it was not easy for prospective teachers to pay attention to the misconception of variables and that some of them did not make proper interpretations. Most prospective teachers who did not attend and interpret were found to have failed to provide an appropriate response due to a lack of overall understanding of variables. even though prospective teachers who did proper attend and interpret were found to have failed to respond appropriately due to a lack of empirical knowledge, even with proper attention and interpretation.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.485-506
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• 2020

The purpose of this study is to analyze of the effect in Mathematics Teachers beliefs on their students beliefs by Latent Class Regression Model (LCRM). For this analysis, the study used the findings and surveys of Kang, Hong (2020) who developed a belief profile by analyzing the mathematical beliefs of 60 high school teachers and 1,850 second-year high school students learning from them through the Latent Class Analysis (LCA). As a result It was observed that 'Nature of Mathematics', 'Mathematic Teaching' and 'Mathematical Ability' of mathematics teachers beliefs influence the mathematical beliefs of students. The teacher's belief of 'Nature of Mathematics' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Mathematics Learning'. The teacher's belief of 'Teaching Mathematics', 'Mathematical Ability' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Self-Concept'. The results of this study can give a preview of the phenomenon in which teacher's mathematical beliefs are reproduced into student's mathematical beliefs. In addition, the results of observation of this study can be used to the contents that can achieve the purpose of reorientation for mathematics teachers.

• The Mathematical Education
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• v.60 no.3
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• pp.321-340
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• 2021

As many changes in the future society represented by the age of artificial intelligence(AI) are expected to come, efforts are being made to draw the shape of the future education and various research methods are being employed to support the attempts. While many research studies use methods for deriving generalized results such as expert survey and trend analysis in along with a review of literature, there are attempts to apply the scenario methodology to explore ideas and information needed within a changing context. A scenario method, one of the experiential learning strategies, aims to seek various and alternative approaches by establishing a plan from the present conditions considering future changes. In this study, in-service teachers' perceptions and expectations of the interactivity between human and AI teachers were visualized by applying the role-play presentation technique that grafted the concept of role-play game to the scenario method. In addition, the mandal-art method was introduced to support in conducting productive discussion during the teachers' collaboration. This method appeared to help to depict teachers' perceptions of AI teachers in the detailed and concrete form, which may flow in the abstract otherwise. Through analyses of the teachers' role-play presentations with the implementation of the madal-art method it was suggested that most teachers would want to collaborate with an AI teacher for improved instruction and individualized student learning while they would take the instructional authority over the AI teacher in the classroom.

• Journal of The Korean Association For Science Education
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• v.29 no.8
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• pp.910-922
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• 2009

The purpose of the study was to investigate the professional level of the Korean non-physics major middle-school science teachers in 'force and motion' content knowledge. For the study, nine science teachers who majored in chemistry, biology, or earth science were sampled from middle-schools in a big city in Korea. The physics concept test-tool (subjective type), which the authors developed, were administered, and then followed by in-depth interviews. The research findings are as follows: Firstly, non-physics major science teachers' correct answer rate in physics knowledge test of secondary school level was not so high that they may have difficulty in teaching correct concepts in physics to middle-school students. Secondly, some teachers show that they can not apply some physics concepts from one to another situation. That means that they may have difficulty in teaching physics conceptual application in various situations to students.

• Journal for History of Mathematics
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• v.18 no.4
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• pp.85-100
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• 2005

In recent papers (Pak et al., Pak and Kim), it was suggested to positively use the history of mathematics for the education of mathematics and discussed the determining problem of the order of instruction in mathematics. There are three kinds of order of instruction - historical order, theoretical organization, lecturing organization. Lecturing organization order is a combination of historical order and theoretical organization order. It basically depends on his or her own value of education of each teacher. The present paper considers a concrete problem determining the order of instruction for the concept of angle. Since the concept of angle is defined in relation to figures, we have to solve the determining problem of the order of instruction for the concept of figure. In order to do this, we first investigate a historical order of the concept of figure by reviewing it in the history of mathematics. And then we introduce a theoretical organization order of the concept of figure. From these basic data we establish a lecturing organization order of the concept of figure from the viewpoint of problem-solving. According to this order we finally develop the concept of angle and a related global property which leads to the so-called Gauss-Bonnet theorem.