• Education of Primary School Mathematics
• /
• v.17 no.3
• /
• pp.173-188
• /
• 2014

The aim of the case study presented in this paper was to explore mathematics curriculum knowledge of a South Korean elementary teacher. An in-depth case study is applied to examine mathematics curriculum knowledge that influences teachers' instructional process including analysis of diverse artifacts such as lesson plan, observation and interviews. Findings of this study suggest that mathematics curriculum knowledge has direct relevance to teaching a lesson, designing a lesson and assessing students' work. In addition, this study identified that mathematics curriculum knowledge may be divided into two sub-categories: vertical mathematics curriculum knowledge and horizontal mathematics curriculum knowledge. The results of this case study help our understanding of South Korean elementary teachers' mathematics curriculum knowledge, which has a deep impact on their teaching practice. Moreover, this cross-national research offers implications for researchers, policymakers, and teachers in U.S. as well as those in South Korea.

• Journal of the Korean School Mathematics Society
• /
• v.13 no.1
• /
• pp.45-67
• /
• 2010

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including Subject Matter Knowledge between 2007 and 2008. The purpose of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. Especially, the standards on mathematics teaching evaluation were developed based on the standards on general teaching evaluation. In this study, the standards were revised and modified by analyzing the results of those studies (namely, evaluation standards) focused on SMK. For this purpose, four domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value were new established based on the theories relevant to SMK and on the base of these four domains, standards or elements on teaching evaluation focused on SMK were reconstructed.

• Research in Mathematical Education
• /
• v.4 no.1
• /
• pp.23-31
• /
• 2000

This research elaborated five components for pre-service mathematics teacher training: 1) Mathematical content knowledge, 2) Pedagogical content knowledge, 3) Pedagogical reasoning, 4) System of training, and 5) Mathematics teachers' beliefs. For the effect teaching, mathematics teacher program should be reformed. The key to improvement should be concerntrated on developing knowledge about effective teaching and translating it into algorithms those teachses can learn and incorporate in their planning prior to teaching. A theory of instruction should specify the most effective sequences in which to present the materials to be learned.

• Korean Journal of Child Education & Care
• /
• v.17 no.3
• /
• pp.49-63
• /
• 2017

This study aims to investigate the effect of early childhood teachers' mathematical attitude on their mathematics teaching efficacy and to prove the moderating role of pedagogical content knowledge (PCK) in mathematics, which we selected based upon previous literatures. To explore the effect of early childhood teachers' mathematical attitude on their mathematics teaching efficacy and the moderating role of PCK in mathematics between them, This study randomly sampled 500 early childhood teachers who work at child care centers and kindergartens in Seoul, Kyunggi province and Kangwon province and collected their responses by questionnaires. Mathematics teaching efficacy was measured with mathematics teaching efficacy scale for early childhood teachers developed by Luo (2000) and translated by Jung (2001a). Mathematical attitude was measured with Smith (2000)'s scale which we translated for this study. To measure the pedagogical content knowledge in mathematics, we revised Hong(2012)'s scale to be applicable for early childhood teachers. Direct effect of mathematical attitude on mathematics teaching efficacy and the moderating effect of PCK in mathematics were analyzed by multiple regression analysis using IBM SPSS 21.0. Study results demonstrated the significant direct effect of mathematical attitude on mathematics teaching efficacy. Also, the moderating effect of PCK in mathematics was also proved to be significant. That is, if the teacher has high level of pedagogical content knowledge in mathematics, the positive effect of mathematical attitude on mathematics teaching efficacy was even more enhanced. This results supports the current finding where PCK in mathematics functions as a moderating variable between mathematical attitude and mathematics teaching efficacy. Thus, our study is expected to provide relevant contents that should be covered during teacher education, which aims to improve early childhood teachers' mathematics teaching efficacy.

• Communications of Mathematical Education
• /
• v.26 no.1
• /
• pp.109-135
• /
• 2012

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, the part of subject matter knowledge was consisted of four evaluation domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value. The part of Learners' unders tanding included the evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies. The part of teaching methods and evaluation was consisted of seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. Also, the part of teaching context was consisted of four evaluation domains such as application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student. According to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of obtaining, planning, acting, and reflecting.

• Journal of Educational Research in Mathematics
• /
• v.20 no.3
• /
• pp.357-371
• /
• 2010

This study aimed to investigate how two eighth-grade mathematics teachers' pedagogical content knowledge is manifested in their classroom instruction. A case study was conducted for the study. The results revealed similarities and differences in the teachers' knowledge manifested in their mathematics classrooms and that the two teachers had slightly different structures of pedagogical content knowledge. One teacher is more dependent on his knowledge of mathematics and knowledge of students' understanding and the other teacher on her knowledge of instructional process and, to a lesser extent, knowledge of mathematics.

• The Mathematical Education
• /
• v.49 no.1
• /
• pp.15-37
• /
• 2010

In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

• The Mathematical Education
• /
• v.51 no.3
• /
• pp.281-300
• /
• 2012

This study has examined the current status of mathematics education departments by analyzing its curriculum and teaching methods. We analyzed data set of the number of faculty and students, curricula, textbooks and instructional methods among 23 mathematics education department in Korea. The data reveals that the curricula of the universities of education has shown that more content knowledge subjects are taught than pedagogy knowledge subjects. However, it is important to note that there is increasing emphasis on pedagogical content knowledge. In addition, the curricula of mathematics education departments deal with various aspects of pedagogical content knowledge. What matters is whether the system works for developing a sound and deep understanding of fundamental aspects of the subject matter in future mathematics teachers. The results of the study point to the importance of pedagogical content knowledge and to the essential components that can promote further understanding of effective teaching for preparing future teachers in mathematics education departments.

• Journal of the Korean School Mathematics Society
• /
• v.14 no.3
• /
• pp.241-263
• /
• 2011

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good mathematics instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including ‘teaching and learning methods and assesment' between 2007 and 2008. The purposes of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those three studies (namely, evaluation standards) focused on the knowledge of 'teaching and learning methods and assessment'. For this purpose, seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. According to those seventh evaluation domains, elements on teaching evaluation focused on the knowledge of 'teaching and learning methods and assessment' were established.

• Journal of Educational Research in Mathematics
• /
• v.22 no.1
• /
• pp.39-52
• /
• 2012

Research in teachers' knowledge for teaching mathematics (KTM) has been gradually growing for the past several years. With various conceptualizations about what teachers need to teach mathematics, there have been studies to find out the relationship between teachers' KTM and their students' achievement. In this paper, I reviewed various conceptualizations of teacher's mathematical knowledge for teaching, and existing qualitative and quantitative studies about this relationship. Based on the review, I identified the challenges to studying this relationship mainly focusing on the existence of a phase-teaching practice-between teachers' KTM and students' learning. Considering the challenges that have been identified in the literature review, I proposed topics for future studies that would contribute to our understanding how the teachers' KTMare related to their students' achievement, and investigate further about whether and how teacher-student interaction in classroom is related to changes in teachers' KTM.