• Journal of the Korean School Mathematics Society
• /
• v.23 no.4
• /
• pp.427-448
• /
• 2020

The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the pre-service mathematics teachers on the normal distribution 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 24 secondary pre-service mathematics teachers, in this study the test items of the MKT on the normal distribution were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) of the preparatory mathematics teacher was confirmed as a high score, whereas the SCK(Specialized Content Knowledge) and KCS(Knowledge of Content and Students) were confirmed as low scores. In addition, through these results, it could be confirmed that the difference in MKT of preparatory mathematicians occurred.

• School Mathematics
• /
• v.8 no.2
• /
• pp.161-176
• /
• 2006

Some adequate programs for mathematising are necessary to pre-service mathematics teachers, if they can guide their prospective students in secondary school to make a mathematising. They should be used to mathematising. In this paper, mathematising teaching units for the inquiry into number partition models with constant differences are designed for this purpose. They guide a series of process to make nooumenon for organizing phainomenon which is organized already through number partition model. Especially the new nooumenon and the process of obtaining it are discussed. But it is restricted when the numbers for partitioning are natural numbers, and elements and their differences are integers. Through these teaching units, pre-service mathematics teachers can experience and practice secondary mathematising, as they go through the procedures which are similar with those of mathematicians making theorems.

• Communications of Mathematical Education
• /
• v.35 no.3
• /
• pp.257-275
• /
• 2021

This study investigated the prospective teacher's noticing of students' mathematical thinking from the perspective of how the prospective teacher pays attention to, interprets, and responds to the student's responses related to variables. The prospective teachers were asked to infer the students' thinking from the variables related to the tasks and suggest feedback accordingly. An analysis of the responses of 26 prospective teachers showed that it was not easy for prospective teachers to pay attention to the misconception of variables and that some of them did not make proper interpretations. Most prospective teachers who did not attend and interpret were found to have failed to provide an appropriate response due to a lack of overall understanding of variables. even though prospective teachers who did proper attend and interpret were found to have failed to respond appropriately due to a lack of empirical knowledge, even with proper attention and interpretation.

• Journal for History of Mathematics
• /
• v.27 no.5
• /
• pp.365-384
• /
• 2014

The purpose of this study is to assess the changes that occur to pre-service mathematics teachers by using survey on the self-reflection during their education practices. For four weeks of the education practice period, the changes to pre-service teachers are analyzed from teaching and learning perspectives. The teaching perspective is sub-categorized into lesson contents, teaching methods, and evaluation on teaching, and the learning perspective is sub-categorized into monitoring on learning, support for learning and evaluation on learning. The analysis shows that significant changes occur in teaching contents from the teaching perspective and in all the sub-categories from the learning perspective. Based on the analysis, preservice teachers are suggested to utilize self-reflection programs during their education practices to promote their professionalism in teaching.

• Journal of Educational Research in Mathematics
• /
• v.25 no.4
• /
• pp.599-615
• /
• 2015

Teachers' philosophies have not been emphasized enough in the current teacher education curriculum even though teacher's philosophy palys a critical role in schools and classrooms. The examination on pre-service teachers' teaching philosophies is necessary to improve teacher education curriculum so that teaching philosophies are often discussed in the courses of 'pedagogical content knowledge' as well as 'general education.' Therefore, the current study investigated 44 pre-service teachers' teaching philosophies, their sub domains, and relationships among the sub domains. The previous studies regarding mathematics teacher's teaching philosophy were more about 'teacher's belief' and employed deductive inference approach using surveys or questionnaires. These studies commonly pointed out that there were three major domains of 'belief on mathematics itself,' 'belief on teaching mathematics,' and 'belief on learning mathematics.' As these three domains of teacher's philosophy has been strengthened, there were very few studies examining the other potential domains of teacher's teaching philosophy. According to the findings of the present study, which employed inductive inference approach and pre-service teachers' free essay writing assignment, 'belief on teacher's role in mathematics classroom,' 'belief on the purpose of mathematics education,' and 'motivation to be a mathematics teacher' were additionally illuminated as sub domains of teacher's teaching philosophy. Moreover, the interrelationship among the sub-areas of teacher's teaching philosophy was disclosed. Specifically, 'belief on the purpose of mathematics education' and 'motivation to be a mathematics teacher' influenced the other sub domains. This implies that the relationships among the sub domains of teacher's teaching philosophy were more likely to be causal and vertical relationships rather than independent and parallel relationships. Finally, the findings from the current study provide implications indicating how pre-service teachers' teaching philosophies might be established in mathematics education courses for future research and education.

• School Mathematics
• /
• v.16 no.3
• /
• pp.445-469
• /
• 2014

This study aims to examine secondary mathematics teachers' understanding of the levels of cognitive demand on mathematical tasks suggested in mathematics textbooks. The study also attempts to investigate whether the teachers are able to characterize the tasks accordingly and to change low level tasks to high level ones. For this purpose, we developed a survey and 50 secondary mathematics teachers participated in the survey. The findings from the data analysis suggest that 59 percent of the teachers selected high level tasks as appropriate for achieving the national curricular goals, but about 1/3 of the teachers identified PNC tasks as high level ones. The results also reveal that more than half of the teachers were not able to transform low level into high level tasks and only 4 teachers out of 50 were able to transform successfully. The teachers seem to find difficulty in transforming low level tasks into high level ones.

• School Mathematics
• /
• v.16 no.2
• /
• pp.317-334
• /
• 2014

The purpose of this study is to grasp pre-service secondary teachers' understanding-realities for Taylor series convergence conceptions and to examine a teaching way using GeoGebra based on the understanding-realities. In this study, most pre-service teachers have abilities to calculate the Taylor series and radius of convergence, but they are vulnerable to conceptual problems which give meaning of the equality between a given function and its Taylor series at any point. Also they have some weakness in determining the change of radius of convergence according to the change of Taylor series' center. To improve their weakness, we explore a teaching way using dynamic and CAS functionality of GeoGebra. This study is expected to improve the pedagogical content knowledge of pre-service secondary mathematics teachers for infinite series treated in high school mathematics.

• Journal of Educational Research in Mathematics
• /
• v.23 no.2
• /
• pp.269-284
• /
• 2013

The aim of this paper is to explore and understand, using in-depth interviews, the participant's motivation for becoming a math teacher, ways of dealing with university math knowledge and private tutoring experiences. In addition a larger aim is to understand how the individual's interest in mathematics and turing are linked to his/her larger personal tendencies contrasting secondary and university math learning. In-depth interviews were conducted with 6 pre-service teachers' subjective experiences focusing on motivation and feelings on mathematical knowledge and private tutoring. The output of this research consists of 3 cases, highlighting and conceptually developing the specific aspects under study; different ways in which individuals' involvement with the math learning and tutoring that might be connected with the ways of becoming teachers. Larger aspects of pre-service teachers' subjective experiences were sketched by contrasting the inner aspects of the individuals. Several suggestions were presented at the end with the possible research directions for math education.

• The Mathematical Education
• /
• v.42 no.4
• /
• pp.523-540
• /
• 2003

The main purpose of this work is to propose programs of calculus for the department of mathematics education of teacher training universities. There is a description of the characteristics, goal and contents of calculus course for pre-service teacher, followed by principles for teaching the subject. We suggest the constituents and something being kept in mind for each part in calculus.

• Journal of the Korean School Mathematics Society
• /
• v.12 no.1
• /
• pp.1-25
• /
• 2009

The purpose of this research is the investigation of mathematics pre service teachers' disposition. Their disposition will be used for preposition of preservice Leacher program for making pre service teachers' participate any program willingly and extend their thinking. For this research, the researcher collected various data from investigation-presentation, report for practice and beauty of mathematics, micro teaching, and peer-evaluation. Preservice teachers had positive attitude for mathematics. They described their feeling, thinking and reflection about various methods of instruction and prefer to have micro teaching. They described that the investigation-presentation was needed to change some. From the results, the teacher preparation program is needed to integrate theory and practice to make preservice teachers gain profound knowledge on pedagogical content knowledge by making them high their interest and sensitivity on mathematics.