• The Mathematical Education
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• v.46 no.3
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• pp.315-329
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• 2007

The concepts of ratio, rate, and proportion are used in everyday life and are also applied to many disciplines such as mathematics and science. Proportional reasoning is known as one of the pivotal ideas in school mathematics because it links elementary ideas to deeper concepts of mathematics and science. However, previous research has shown that it is difficult for students to recognize the proportionality in contextualized situations. The purpose of this study is to understand how the mathematical concept in the middle school mathematics curriculum is connected with ratio, rate, and proportion and to investigate the characteristics of proportional reasoning through analyzing the concept including ratio, rate, and proportion on the middle school mathematics curriculum. This study also examines mathematical concepts (direct proportion, slope, and similarity) presented in a middle school textbook by exploring diverse interpretations among ratio, rate, and proportion and by comparing findings from literature on proportional reasoning. Our textbook analysis indicated that mechanical formal were emphasized in problems connected with ratio, rate, and proportion. Also, there were limited contextualizations of problems and tasks in the textbook so that it might not be enough to develop students' proportional reasoning.

• The Mathematical Education
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• v.53 no.1
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• pp.131-146
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• 2014

This study examines whether there is discrepancy between elementary and middle school mathematics teachers' beliefs and practices in constructed-response assessment and how their beliefs and practices are interrelated. Analyzing the responses of 212 elementary teachers and 189 middle school mathematics teachers to the questionnaire, we found that there is lack of consistency among elementary and middle school teachers' beliefs, practices, and expected benefits regarding constructed-response assessment. In addition, there was a weak correlation between each group of teachers' beliefs and expected benefits about constructed-response assessment. The results from this study imply that such inconsistency in elementary and middle school teachers' beliefs and practices regarding assessments may determine the effects of constructed-response assessment.

• The Mathematical Education
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• v.54 no.1
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• pp.1-11
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• 2015

The purpose of this study was to provide fundamental data and implication for forming desirable viewpoint of mathematics lesson critique and for improvement of expertise in lesson by compare and analyze the viewpoint of mathematics lesson critique of pre-service and in-service teachers. For the achievement of the purpose, The lesson critique materials of each 25 pre-service and in-service mathematics teachers were collected and arranged, and compare and analyze the viewpoint of mathematics lesson critique of pre-service and in-service teachers by using the standard for analyzing viewpoint of lesson critique composed of two categories, five main codes and 18 sub codes. The results of this study, both pre-service and in-service teachers have tendency for criticising lesson focusing on the practice rather than plan of lesson and both pre-service and in-service teachers showed evaluative reaction in most of critical statements and used positive ones rather than negative ones. The only pre-service teachers, though minor of them, showed non-evaluative reaction in criticising class and most of the statements were just description and explanation without any their own judgement for the scenes and activities of lessons and most of pre-service teachers have tendency to include reflection and introspection for their own class in lesson critique.

• East Asian mathematical journal
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• v.39 no.2
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• pp.141-166
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• 2023

The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the in-service mathematics teachers on the statistics(Representative value, Degree of scattering) through the comparative analysis between the sub-elements of the MKT. In addition, it is to examine the factors that cause the difference of the subjects' MKT. To accomplish this, by the subject of 12 secondary in-service mathematics teachers, in this study the test items of the MKT on the statistics were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) and SCK(Specialized Content Knowledge) of the mathematics teacher was confirmed as a high score, whereas the and KCS(Knowledge of Content and Students) and KCT(Knowldge of Curriculum and teaching) were confirmed as low scores. In addition, through these results, it was shown that the difference in MKT's elements the middle school and high school teachers obtain occurred slightly.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.1
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• pp.1-18
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• 2005

The purpose of this study is to plan and apply the problem posing program to each unit of elementary mathematics 5-Ga stage, and to make an analysis of their effects on mathematics learning achievements, attitude and interesting. In order to achieve these purposes, the following research problems were set up for the present study: First, we design problem posing program which can be applied to the actual instruction with analyzing the curriculum of mathematics on 5-Ga stage in the seventh national curriculum. Second, we analyze the effect of applying problem posing program on students' mathematics learning achievements. Third, we analyze the effect of applying problem posing program on students' mathematical attitude and interest. The results of this study are as follows: First, the problem posing program developed in this study was more affirmative effects for improving the students' mathematics learning achievements. Second, the problem posing program also had affirmative effects on students' attitude and interest on mathematics. Third, after applying the problem posing program turned out to have a statistical significant correlation between mathematics learning achievements and attitude, and mathematics learning achievements and interest.

• The Mathematical Education
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• v.56 no.4
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• pp.407-434
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• 2017

The purpose of this study is to develop and verify the TPACK measurement tool for middle and high school mathematics teachers in the Korean context. Also, by clarifying the relationship between subordinate factors of Mathematics teachers' TPACK, an attempt was made to provide suggestions on the designs and directions for the in-service and pre-service teacher education and the programs for improving mathematics teachers' TPACK in the future. In order to achieve this goal, TPACK factors of mathematics teachers were extracted by reviewing literature on PCK, MKT, and TPACK. Then, content validity, basic statistical survey, reliability verification, exploratory factor analysis, confirmatory factor analysis, and structural equation model verification were conducted sequentially. At first, preliminary analysis was carried out on 79 mathematics teachers, and 76 items excluding the items with extreme value and reliability were included in the basic statistical analysis. And secondly, an exploratory factor analysis was conducted on 376 mathematics teachers, and this instrument consisted of 7 subordinate factors(CK, PK, TK, PCK, TCK, TPK, TPACK) and 61 items. Also by conducting confirmatory factor analysis and structural equation model test with 254 mathematics teachers, the measurement tool was confirmed the validity and reliability through statistically significant analysis. Then, the importance of integrated knowledge was confirmed by looking at the relationship between the TPACK factors of in-service mathematics teachers. The integrated knowledge(PCK, TCK, TPK) has played a crucial role in the formation of TPACK rather than the knowledge of CK, PK, and TK alone. Finally, the validity of TCK was confirmed through the structural equation modeling of TPACK. TCK not only directly affected TPACK, but also indirectly through TPK. According to these affirmative results, this measurement tool is claimed to be suitable for measuring the factors of Mathematics teachers' TPACK, and also the structural equation model can be regarded as a suitable model for analyzing the structural relationship of mathematics teachers' TPACK.

• School Mathematics
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• v.7 no.4
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• pp.445-467
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• 2005

The purpose of this study was to investigate mathematics teaching of an elementary school teacher and to understand the meaning of it. This study was a qualitative case study using by analyzing metaphors. The notion of metaphors was newly set up. Traditionally, it had been regarded as a mere tool for better understanding, but it was recognized as the primary source of all of our concept(Sfard, 1998). The subject of this case study was a researcher 'I' and also an elementary school teacher. The three selves named Mee1, Mee2, Mee3, respectively. Mee1 was the 'I' who developed the 4th graders' activities on mathematical patterns in 1996 and wrote mathematics textbook for the 4th graders in 1998-1999. Mee2 was the 'I' who taught mathematical patterns to her students in 2002. Mee3 was the 'I' who criticized the teaching of Mee2 in 2005. [ADVENTURE], [HIDE-AND-SEEK], and [FIREWORKS DISPLAY] were deter-mined to be key metaphors of mathematics teaching. [ADVENTURE] of Mee] was focused on profound understanding of mathematics, [HIDE-AND-SEEK] of Mee2 on construction of mathematics, and [FIRE-WORKS DISPLAY] of Mee3 on making meaning and participating in communities. Studies of metaphors give us the power of understanding mathematics teaching and also generate it. And viewing mathematics teaching via metaphors makes teaching studies open to new ways.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.505-518
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• 2007

The purpose of this paper is to investigate the meaning of assessment for students, parents and mathematics teachers in middle school mathematics. For this purpose, we made an inspection to find out how the students grasped assessment results of mathematics, an investigation on the parents questionnaire to catch their viewpoints about assessment in school mathematics. Then, we interviewed three students, three teachers to confirm or to supplement the collected data. From the analyzing of data, we found the followings: First, it is not reasonable to evaluate the middle school students' mathematics accomplishment level using only paper test score. Second, almost all parents focus on their interesting to mathematics test score of their children not any other factors, such as intellectual accomplishment. Third, mathematics teachers claim that private education for only the mathematics test score can block the improving of students' mathematical thinking and application ability of mathematical knowledge.

• Communications of Mathematical Education
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• v.30 no.1
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• pp.67-83
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• 2016

Correcting an imbalance between cognitive and affective aspects of mathematics in schools is recognized as a crucial issue with regards to mathematics education in Korea. Therefore, research and studies about affective aspects have been increasing and themes relating to affective aspects were diverse. Their theme included the improvement of affective aspect, investigation of factors of affective aspect, and development of measurement tools for affective aspect. The purpose of this study is to analyze and organize the research that has been done with respect to affective aspect and drive trend, implication, and their instruction to mathematics education. This study has investigated 103 studies released from 2005 to 2015 on KCI, Korea Citation Index. The results of this study are as follow. First, since released research of affective aspects in mathematics has not increased in number in the last 11 years, academic interest in the affective aspects seems lower than recent interest arousing in Korea. Second, most studies utilized quantitative research as a tool to analyze phenomena and the cause and effect of affective aspects. Third, middle school students were the most common subjects of the studies, followed by elementary school students. Fourth, the studies had various themes such as analyzing the cause and effect of affective aspect, recognizing changes of affective aspects, and measuring affective aspects. The studies, especially, focused most on analyzing how to improve affective aspects by applying it to programs such as mathematic activities and solving mathematic problems. It is necessary for future research to have a long-term perspective and to provide a space for communication. Research should not only focus on how recognize affective aspects differently, which is based on its cultural background, but also to draw affective solutions from them.

• Journal of Gifted/Talented Education
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• v.26 no.4
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• pp.747-761
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• 2016

The purpose of this research is to study the perception of mathematical creativity through gifted elementary mathematics students. The analysis on perception for mathematical creativity was done by testing 200 elementary school students in grades 4, 5, and 6 who are receiving gifted education in elementary mathematics gifted class operated by ${\bigcirc}{\bigcirc}$ City Dept of Education through the questionnaire that was developed based on Rhodes' 4P theory. This survey asked them to name what they think is the most creative from educational programs they have as far received. Then we analyzed the reason for the students' choice of the creativity program and interviewed the teachers who had conducted chosen program. As a result of analyzing the data, these students chose as mathematical creativity primarily creative problem solving, task commitment, and interest in mathematics in such order. This result is explained through analyzing the questionnaire that was based on Rhodes' 4P theory on areas of process, product and press. The perception of mathematical creativity by the gifted mathematical students not only helps to clarify the concept of mathematical creativity but also has implication for future development for gifted education program.