• Journal of the Korean School Mathematics Society
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• v.8 no.1
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• pp.101-116
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• 2005

The purpose of this study is to survey mathematics teacher's cognition of proof along with their proof forms of expression and proof ability, and to explore the relationship between their proof scheme and teaching practice. This study shows that mathematics teachers tend to regard proof as a deduction from assumption to conclusion and that they prefer formal proof with mathematical symbols. Mathematics teachers also recognize that prof is an important area in school mathematics but they reveal poor understanding of teaching methods of proof. Teachers tend to depend on the proof style employed in mathematics textbooks. This study demonstrates that a proof scheme is a major factor of determining the teaching method of proof.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.231-253
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• 2009

This paper investigated the views of effective mathematics instruction on the part of teachers. The study was carried out a survey with 223 elementary school teachers in Korea. The questionnaire consisted of the following 4 main categories with a total of 48 factors: (a) the curriculum and content, (b) teaching and learning, (c) classroom environment and atmosphere, and (d) assessment. Some ideas teachers revealed about what would enable good mathematics teaching coincided with previous research. Specifically, teachers agreed with the idea of consideration of students' individual differences or focus on concepts. However, there were differences with regard to the use of technology and the importance of learning environment, which have been emphasized in mathematics education literature. Considering that the teacher plays a key role in implementing good instruction, this paper emphasizes us to attend to teachers' perspectives in order to initiate good teaching at the actual classroom.

• Journal of The Korean Association For Science Education
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• v.31 no.8
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• pp.1110-1120
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• 2011

The purpose of this study was to investigate teachers' perceptions of gender differences in students' mathematics and science learning ability. The sample included 289 elementary and secondary school gifted teachers. The teachers filled out the survey, asking their perceptions of gender differences in mathematics and science learning ability, as well as of the reasons of the differences. The results were as follows: 1) 65% of the teachers responded that gender differences existed in students' mathematics and science learning ability, 2) 63% of the teachers perceived that the differences began around higher elementary or middle school ages, 3) 57% of the teachers thought that gender differences existed in the high-achieving student group. Teachers perceived the reasons of differences were 1) differences in inborn ability, 2) the different expectation, and 3) the different ways of parental cares. Since teachers' perceptions of students' ability would impact teachers' attitudes on students, implications and suggestions were included in this article to provide teachers insights that promote students' better learning.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.1
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• pp.1-17
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• 2019

In this study, prospective teachers were involved in arranging the teaching sequence of multiplication and division of fractions and decimal numbers based on their experience and knowledge of school mathematics. As a result, these activities provided an opportunity to demonstrate the prospective teachers' perception. Prospective teachers were able to learn the knowledge they needed by identifying the differences between their perceptions and curriculum. In other words, prospective teachers were able to understand the mathematical relationships inherent in the teaching sequence of multiplication and division of fractions and decimal numbers and the importance and difficulty of identifying students' prior knowledge and the effects of productive failures as teaching methods.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.373-395
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• 2022

This study aimed to examine how prospective mathematics teachers (PMTs) perceive collaborative problem-posing (CPP) as a method to cultivate students' creativity and character in mathematics education. This is to propose the introduction of CPP at the stage of preparatory math teacher education as one of the ways to reinforce the creativity and character education capacity of PMT), and to attempt to be an opportunity to actively utilize CPP in math teaching-learning in the school field for the education of students' creativity and character. To achieve this objective, I designed PMTs taking the 'Educational Theories for Teaching Mathematics' course, required in the second year of university, to experience CPP tasks. Data were collected through questionnaires or interviews over three years on how PMTs recognized the CPP tasks as a tool to cultivate students' creativity and character in secondary schools. The results of the study are as follows. First, PMTs recognized regardless of their CPP experience that CPP might have a positive impact on improving students' ability to devise various ideas and that it positively influences students' attitudes toward building interpersonal relationships, including teamwork, respect, and consideration. Second, the experience of PMTs participating in the CPP made them more positively aware that CPP is effective in improving students' ability to elaborate on ideas. Third, the PMTs' experience of participating in CPP led to a more positive perception of the impact of CPP on the students' abilities and attitudes, namely, the students' ability to elaborate on ideas and their inner attitudes toward individuals, including honesty, fairness, and responsibility, and the attitude of students regarding logically presenting their opinions and making rational decisions. Finally, if there are downsides to the offline environment, an online environment may be more beneficial.

• Education of Primary School Mathematics
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• v.25 no.1
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• pp.101-123
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• 2022

Recently, as the educational paradigm shifts from teacher-centered to learner-centered, the active construction of knowledge of learners is becoming more important. Accordingly, classes using mathematical modeling are receiving attention. However, existing research is focused on teachers or middle and high school students, so it is difficult to apply the contents and results of the research to preservice teachers. Therefore, in this study, the experience of mathematical modeling was examined for elementary school preservice teachers. And we looked at how positive experiences of mathematical modeling change their perceptions. As a result of the study, elementary school preservice teachers had very little experience in mathematical modeling during their school days. In addition, it was found that the perceptions changed more positively than when a theoretical class on mathematical modeling was conducted, rather than when the experience of mathematical modeling was actually shared. Based on the results of this study, implications were suggested in the course of training preservice teachers.

• Communications of Mathematical Education
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• v.34 no.3
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• pp.277-297
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• 2020

The purpose of this study was to identify and compare the mathematics educational values of pre-service and in-service elementary school teachers. For this purpose, we implemented a questionnaire investigating mathematics educational values and used principal component analysis which resulted in six components. These components were named as fun, problem-solving, representation, computation, ability, and explanation through systematic labeling processes. Both pre-service and in-service elementary school teachers considered problem-solving the most important and there was no statistical difference between the teacher groups. They also considered fun the least important and in-service elementary school teachers regarded it more important than pre-service counterparts did. All value components except explanation were regarded as important by in-service elementary school teachers, fourth-year pre-service teachers, and first-year pre-service teachers in order. The result of noticeable differences between pre-service and in-service elementary school teachers implies that actual teaching experience may affect teachers' mathematics educational values more than teacher preparation programs. Based on these findings, we need to discuss what should be regarded as important and worthwhile in teacher preparation programs to establish mathematics educational values for pre-service teachers. We also need to confirm whether the mathematics educational values by in-service elementary school teachers may be in line with what has been pursued in the national mathematics curriculum.

• Journal of the Korean School Mathematics Society
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• v.19 no.4
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• pp.395-415
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• 2016

In this paper, we study the recognition of in-service teachers and pre-service teachers about the concepts of liner equations and liner functions. We chose 49 in-service teachers at secondary schools in G city and 29 pre-service teachers in M university and investigate their recognition about the concepts of liner equations and liner functions. We found following facts. First, in-service teachers and pre-service teachers tend to recognize a linear equation as an equation in one known rather than an equation in two unknowns. Second, in-service teachers and pre-service teachers tend to recognize a linear function as an explicit function rather than an implicit function. Finally, the difference between in-service teachers' recognition and pre-service teachers' recognition is not statistically significant.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.3
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• pp.505-518
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• 2014

The purpose of this study was to examine how pre-service elementary teachers develop mathematical tasks in the elementary teacher education program. Elementary pre-service teachers revise their tasks in clarifying representation, reflecting curriculum, modifying mathematical errors. Elementary pre-service teachers' perspective on assessment has been changed from focusing on tasks to focusing on students.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.4
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• pp.383-403
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• 2019

The purpose of this study was to examine how students' perception of their mathematics teachers' instructional practices is associated with students' attitude toward mathematics, taking into account their self-efficacy in mathematics. The sample contained 4669 Korean fourth graders who participated in Trends in International Mathematics Science Study 2015. We used exploratory factor analysis and confirmatory factor analysis to explore the factor structure of three latent variables and conducted structural equation modeling to examine the hypothesized model. The results revealed that when students positively perceived their teachers' instructional practices, they tended to have a positive attitude toward mathematics. We also found that students' self-efficacy beliefs in mathematics positively mediated the relationship between perceived teachers' instructional practices and personal attitude toward mathematics. We discuss the practical and methodological implications of these findings and offer directions for future studies.