• Research in Mathematical Education
• /
• v.16 no.1
• /
• pp.51-66
• /
• 2012

This study investigated the impact of entry level of mathematics subject knowledge on student teachers' mathematics pedagogical content knowledge development and performance in mathematics teaching practice. The sample consisted of 24 mathematics student teachers, 12 of whom passed A-Level mathematics and 12 of whom only passed O-level mathematics. They were all studying in a 4-year bachelor of education (Honours/Primary) programme; they were either majoring or minoring in mathematics. Results showed that student teachers' entry-level mathematics subject knowledge is not related to their mathematics pedagogical content knowledge development or their mathematics teaching performance. These findings may lead society to consider whether student teachers who have passed O-level mathematics are already eligible to be trained as professional primary mathematics teachers. As a consequence, this study raises the issues of how to develop student teachers' mathematics pedagogical content knowledge and whether we need to restructure our bachelor of education (Primary) programmes' curriculum in teacher professionalism.

• The Mathematical Education
• /
• v.44 no.4 s.111
• /
• pp.603-625
• /
• 2005

Identity is the concept which approaches individuals' affective problems with the social and cultural view. The previous studies on the problems, studied the attitudes, beliefs, or emotions while they restricted the problems to teachers or students' private problems. Otherwise, identities focus on individuals which participate to any community and share its social practices(Mclead, 1994). This study purposed to get an understanding on the teaching and learning mathematics in elementary mathematics classroom with an ethnographic view, while we consider mathematics as a kind of social practices, and mathematics classrooms as communities of practice. We analysed teacher's identities on mathematics and teaching mathematics depending on her responses of the questions as following: How does she think about mathematics, what are the instructional goals in her mathematics classroom, how do students learn mathematics in her mathematics classroom. In addition, we analysed students' identities on mathematics and learning mathematics depending on their responses of the questions as following: What do students think of mathematics, do they like mathematics, why do they study mathematics, how do they feel their mathematics classroom(describe your classroom) and themselves in it(describe yourselves in your classroom), what are their duties and what do they do actually in their mathematics classroom.

• The Mathematical Education
• /
• v.50 no.1
• /
• pp.89-102
• /
• 2011

The purpose of this study is to diagnose the problems of mathematics education in Korea by conducting an in-depth analysis of international comparative studies, a Delphi method, and a survey. Further analysis of TIMSS and PISA results also reveals several negative aspects of mathematics education practice in Korea. The mathematics education experts' opinions collected by Delphi method were classified into 12 categories: private education and test-driven education, curriculum and textbooks, lessons, evaluation, teacher, learner, teaching aid and facilities. affective aspects of mathematics, discrepancy between a theory and a practice, preservice/inservice teacher education and teacher employment test, education policy, and overall. Another survey was conducted to focus more on the development of curriculum which is a pending issue. Considering the fact that mathematics education should contribute to improve practical aspect as well as elaborate theoretical aspect, this study lays a foundation of improvement of mathematics education in Korea.

• Communications of Mathematical Education
• /
• v.26 no.4
• /
• pp.363-381
• /
• 2012

The purpose of the study was to examine teachers' gender difference in teachers' perceptions of the affective domain in teaching practice. This study was conducted with 327 secondary mathematics teachers in Gyeonggi-do by survey method. According to the results, female teachers showed more positive responses in perceptions of the affective domain and teaching practices in the aspect of affective domain at the stage of planning lessons, assessing students, and reflecting lessons. Especially, female group showed higher mean scores than male group in the perception of the value of mathematics at the all stages of teaching.

• The Mathematical Education
• /
• v.46 no.4
• /
• pp.389-406
• /
• 2007

The purpose of this study is to understand the learning mathematics in elementary mathematics classroom by considering mathematics as a kind of social practices and mathematics classroom as a kind of community of practice. The research questions of this study are as followings: 1) Do the identities which teacher has on mathematics and teaching mathematics, influence the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics? 2) Do the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics, influence the identities which teacher has on mathematics and teaching mathematics? This study was based on ethnomethodology. It was executed participation observations, interviews and surveys with teacher and 5 graders to collect the data for the social practices formed their classroom and their identities, and was analyzed the interaction between the social practices of mathematics classroom and teacher and students' identities. We found the scenes that teacher's identities influenced the social practices of mathematics classroom and students' identities, and also the scenes that the social practices of mathematics classroom and students' identities influenced teacher's identities. So, we could know that there existed the interaction between the social practices of mathematics classroom and teacher and students' identities.

• Journal for History of Mathematics
• /
• v.33 no.6
• /
• pp.327-343
• /
• 2020

This study investigate philosophical discussions related to the Zeno's paradoxes in order to derive the mathematics educational implications. The paradox of Zeno's motion is sometimes explained by the calculus theories. However, various philosophical discussions show that the resolution of Zeno's paradox by calculus is not a real solution, and the concept of a continuum which is composed of points and the real number continuum may not coincide with the physical space and time. This is supported by the fact that the hyperreal number system of nonstandard analysis could be another model of a straight line or time and that an alternative explanation of Zeno's paradox was possible by the hyperreal number system. The existence of two different theories of the continuum suggests that teachers and students may not have the same view of the continuum. It is also suggested that the real world model used in school mathematics may not necessarily match the student's intuition or mathematical practice, and that the real world application of mathematics theory should be emphasized in education as a kind of 'correspondence.'

• The Mathematical Education
• /
• v.59 no.2
• /
• pp.147-166
• /
• 2020

Textbooks are important resources in support of teaching and learning mathematics competencies which are emphasized in the most recently revised mathematics curriculum. This study analyzed how six mathematics competencies and their sub-elements are implemented in the mathematics textbooks for the fifth and sixth grades. A total of 465 activities or items in the targeted textbooks were analyzed. The findings of this study showed that both the communication competence and the reasoning competence were the most frequent competencies, followed by the problem solving competence. In contrast, the other three competences (i.e., creativity and integration, attitude and practice, and information processing) were less popular. Detailed analyses of sub-elements according to each competence revealed that one or two specific sub-elements were emphasized within a competence. Whereas "expressing one's idea" was the most prevalent sub-element in the communication competence, both "analyzing mathematical facts" and "observation and conjecture" were the most frequent in the reasoning practice. Specific sub-elements were jointly implemented within or across competences. "External connections of mathematics and integration" in the creativity and integration competence was carried out in relation to "recognition of values" in the attitude and practice competence. This paper also included some examples of activities or items showing how specific sub-elements of each competence were reflected on. This study is expected to provide implications on how to implement mathematics competencies throughout the textbooks.

• School Mathematics
• /
• v.14 no.4
• /
• pp.553-564
• /
• 2012

Story corners in elementary school mathematics practice activity books are newly given for students not only to have interests in mathematics, but to solve story problems related to already learned mathematical contents. In this study, we investigate the story corners in third grade mathematics practice activity books to analyze the contents according to their utilizations. We also suggest their implications. Based on our analysis, we have the following results. First, there are cases where the contents of the story are not related to the corresponding learning contents. Second, there are cases where some the contents or the posed problems related to the story are hard to be understood by students. Third, there are cases where the posed problems are not related to the corresponding learning contents.

• Education of Primary School Mathematics
• /
• v.14 no.2
• /
• pp.147-164
• /
• 2011

The national mathematics curriculum revised in 2007 emphasized students' mathematical communication and the curriculum is currently applied to all grades. In order to promote students' mathematical communication, the teacher needs to understand full implications and apply them to instruction. This study examined how teachers employed mathematical communication in their instruction and how they perceived it. The results showed that teachers had lack of understanding of student-centered instruction and mathematical communication. They also did not use various representation activities and discussion-based activities as expected. The number of students per classroom was reported by teachers as a main barrier to promote mathematical communication, but it did not make substantial differences in practice. Building on the results, this paper included implications for improving teachers' conception of mathematical communication.

• Communications of Mathematical Education
• /
• v.27 no.1
• /
• pp.19-37
• /
• 2013

In order to improve the problem-solving abilities and enhance the academic achievement of under achieving students for university basic mathematics, P-university has opened the basic mathematics and practice education courses. These education courses are operated as prerequisite subject of Calculus and we are progressing the class focused on presentation with variety learning materials by organizing level-based classes In this paper, we analyzed the acquired grade and the result of teaching assessment of 1,106 students registered in the 30 classes that the teaching portfolio of the basic mathematics and practice education courses were submitted to support 'Accreditation for Engineering Education of Korea'. In addition, we tried to find attention points and improved solutions on operating the level-based class of the basic mathematics and practice education courses based on the 'Continuous Quality Improvement Report' of teaching portfolio submitted by each professor who is in charge of this class.