• Journal of Educational Research in Mathematics
• /
• v.22 no.4
• /
• pp.495-515
• /
• 2012

This study is to diversely analyze teachers' Pedagogical Content Knowledge (PCK) regarding to the area of plane figures and discuss the consideration for the materialization of the effective class in learning the area of plane figures by identifying the improvements based on problems indicated in PCK. The subjects of inquiry are what the problems with teachers' PCK regarding to the area of plane figures are and how they can be improved. In which is the first domain of PCK, teachers need to fully understand the concept of the area and the properties and classification of the area and length, recognized the sequence structure as a subject of guidance and improve the direction which naturally connects the flow of measurement by using random units in guidance of the area. In which is the second domain of PCK, teachers need to establish understanding of the concept for the area and understanding of a formula as a subject matter object and improve the activity, discovery and research oriented class for students as a guidance method by escaping from teacher oriented expository class and calculation oriented repetitive learning. They also need to avoid the biased evaluation of using a formula and evenly evaluate whether students understand the concept of the area as a performance evaluation method. In which is the third domain of PCK, teachers need to fully understand the concept of the area rather than explanation oriented correction and fundamentally teach students about errors by suggesting the activity to explore the properties of the area and length. They also need to plan a method to reflect student's affective aspects besides a compliment and encouragement and apply this method to the class. In which is the fourth domain of PCK, teachers need to increase the use of random units by having an independent consciousness about textbooks and supplementing the activity of textbooks and restructure textbooks by suggesting problematic situations in a real life and teaching the sequence structure. Also, class groups will need to be divided into an entire group, individual group, partner group and normal group.

• The Mathematical Education
• /
• v.62 no.4
• /
• pp.515-529
• /
• 2023

The purpose of this study is to analyze teachers' understanding of the number and operations area of grades 3 to 6 in elementary school mathematics curriculum and to derive implications for improving teachers' understanding of the mathematics curriculum. To this end, elementary school teachers were asked to develop items to evaluate curriculum achievement standards at each grade level, and then the teachers' understanding of the curriculum was examined based on the collected items. As a result of the study, there was a misinterpretation of the achievement standards in approximately 25% of the questions collected. Typically, cases where the content covered by each grade was confused when using textbooks as a standard, or cases where the difference between the content covered by the two achievement standards could not be completely distinguished were found.

• Archives of design research
• /
• v.14 no.2
• /
• pp.57-66
• /
• 2001

This research was carried with emphasis on the technical contents of lighting design which had various knowledge system in the educational viewpoint. First of all, phisiolosical and physical factors were considered with the process of vision between human and light. Next, components of attributes in the lighting fixture were prescribed to analyze concept of the fixture. Finally, I proposed educational program in the instruction to meet the purpose of this research. As a result, in overall research concerning the basic direction and structure, instruction should have balance to reconcile theory and practice about lighting. Second, in terms of expansion of cognition about lighting, experimental education that is considered with interface is needed to make practical verification through relationship with man-made environment and scientific data.

• Journal of Educational Research in Mathematics
• /
• v.10 no.1
• /
• pp.103-113
• /
• 2000

A case study was conducted to investigate the understandings of the subject matter knowledge and pedagogical content knowledge held by 63 elementary preservice teachers in dealing with the division by a fraction. The study results showed that, in terms of the subject matter knowledge, the preservice teachers did not have a conceptual understanding of the division by a fraction and, in terms of the pedagogical content knowledge, they depended heavily on algorithms without a conceptual understanding of the meaning of the division by a fraction.

• School Mathematics
• /
• v.19 no.3
• /
• pp.461-480
• /
• 2017

The aim of this study was to analyze characteristics of teachers' knowledge about correlation with data presented in $2{\times}2$ tables. In order to achieve the aim, this study conducted didactical analysis about two-way tables through examining previous researches and developed a questionnaire with reference to the results of the analysis. The questionnaire was given to 53 middle and high school teachers and qualitative methods were used to analyze the data obtained from the written responses by the participants. This study also elaborated the framework descriptors for interpreting the teachers' responses in the light of the didactical analysis and the data was elucidated in terms of this framework. The specific features of teachers' knowledge about correlation with data presented in $2{\times}2$ tables were categorized into three types as a result. This study raised several implications for teachers' professional development for effective mathematics instruction about correlation and related concepts dealt with in probability and statistics.

• School Mathematics
• /
• v.11 no.4
• /
• pp.607-623
• /
• 2009

This study aims to investigate a child's informal knowledge of carrying and borrowing in additive calculations. The additive word problems including three types of calculations are posed a child that is the first grader and has no lessons about carrying and borrowing. By analysing his answers, his informal knowledge, that is his methods and strategies for calculating the additive problems are revealed. As a result, conceptual aspects and procedural aspects of his informal knowledge are recognized, and the didactical implications are induced for connecting his informal knowledge and the formal knowledge about carrying and borrowing.

• Journal of the Korean School Mathematics Society
• /
• v.7 no.1
• /
• pp.37-48
• /
• 2004

In this article we study on a mathematics(geometry) textbook which is written for the purpose of considering student's individual difference by famous russian author V. A. Gusev. We analyze text and exercise of the experimental textbook, form and extract some didactical ideas that help us to design individualized mathematics classroom activities with students.

• Journal of Elementary Mathematics Education in Korea
• /
• v.19 no.1
• /
• pp.39-56
• /
• 2015

The aim of the study presented in this paper was to explore South Korean elementary teachers' knowledge regarding educational theory in mathematics. An independent t-test and ANOVA are applied to examine elementary teachers' knowledge regarding educational theory in mathematics. Findings of this study suggest that there is a negative correlation between the teachers' knowledge regarding educational theory in mathematics and their teaching experiences as well as the teacher certification level. However, there is a little affect of the teachers' gender and educational backgrounds on the teachers' knowledge regarding educational theory in mathematics. The results of this quantitative study may broaden our understanding of the South Korean elementary teachers' knowledge for teaching mathematics, which have a deep impact on their teaching practice.

• Journal of Educational Research in Mathematics
• /
• v.25 no.4
• /
• pp.657-673
• /
• 2015

In this study, we are interested in the teachers' MCK about '$N{\div}0$' and MPCK in relation to the proper ways to teach it. Even though '$N{\div}0$' is not on the current curriculum and textbooks of elementary school mathematics, a few students sometimes ask a question about it because the division of the form '$a{\div}b$' is dealt in whole number including 0. Teacher's obvious understanding and appropriate guidance based on students' levels can avoid students' error and have positive effects on their subsequent learning. Therefore, we developed an interview form to investigate teachers' MCK about '$N{\div}0$' and MPCK of the proper ways to teach it and carried out individual interviews with 30 elementary school teachers. The results of the analysis of these interviews reveal that some teachers do not have proper MCK about '$N{\div}0$' and many of them have no idea on how to teach their students who are asking about '$N{\div}0$'. Based on our discussion of the results, we suggest some didactical implications.

• Journal of the Korean earth science society
• /
• v.32 no.1
• /
• pp.140-151
• /
• 2011

This study is to search the problems of schoolyard teaching material developed by pre-service earth science teachers and the critical factors affecting material making. The 258 schoolyard teaching materials was collected from 54 pre-service earth science teachers (male: 18, female: 36) major in Earth Science Education in Jeonju, Korea. The schoolyard teaching materials was greatly influenced by making process type of it and the prior knowledge of pre-service earth science teachers. As schoolyard preference exploratory type rely on their prior knowledge to develop the schoolyard teaching materials, they made use of the limited concepts like fault in material making. But the concept preference exploratory type made use of concepts not accessible to majority of pre-service earth science teachers because they selected a concept from the earth science textbook first of all. The pre-service earth science teachers having wrong prior knowledge selected inappropriate resources, as well as fell into the error of concept connecting. The pre-service earth science teachers having right prior knowledge partly considered only shape of resources, but had a disregard for formation process of it in material making. Accordingly, we need to reflect richly Geological Field Trip and Solid Earth Science to curriculum for earth science teacher education. And we have to educate pre-service earth science teachers to create holistic concept on the geological subject matter knowledge, field based teaching and learning strategy, material making process.