• East Asian mathematical journal
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• v.29 no.2
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• pp.169-187
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• 2013

The purpose of this study is to analyze whether mathematics education course can improve secondary pre-service math teacher' belief and correlation on pre-service math teacher' belief and mathematics education achievement. In order to achieve this purpose, the test was conducted to the subject of 34 pre-service secondary math teachers of the grade 2 and grade 4 who were chosen from H university in D city and we analyzed the results. Findings on this study are as follows. First, there was meaningful difference in the pre-service math teacher' belief with significant level of 0.05. This proved that mathematics education course was effective on improving pre-service math teacher' belief. Second, there was not meaningful correlation in the pre-service math teacher' belief and mathematics education achievement.

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.63-80
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• 2019

This study aims to investigate noticing of pre-service secondary mathematics teachers. For the purpose of this study, we analyzed journals of four pre-service mathematics teachers. Our analysis was based on a framework including three categories such as Aware, Interpret, and Response. As results, we found a tendency that pre-service secondary mathematics teachers have more general awareness of students and relatively fewer interpretations of students' mathematical thinking than other categories. In addition, in the category of Response, the pre-service secondary mathematics teachers were more likely to explain to students than to promote students' thinking through questions. Based on these results, we would like to discuss implications for pre-service secondary mathematics teacher education.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.583-600
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• 2013

In this paper, we study the recognition and fallacy of would-be in-service teachers about numbers with irrational exponent. We chose 51 secondary school teachers who are teaching mathematics in K metropolitan city and investigate their recognition and fallacy about the cases of irrational exponents of a positive rational and irrational exponents of a positive irrational number at the expansion of exponential law. We found following facts. First, in-service teacher's a percentage of correct answers differ depending on the type of numbers with irrational exponent. Second, in-service teachers decide their answer depending on intuition rather than logic. Third, in-service teachers decide their answer depending on exponential rather than base.

• 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 for History of Mathematics
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• v.27 no.5
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• pp.347-364
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• 2014

This study aims at what is required knowledge and ability to pre-service math teachers in teacher certificate examination. First, the items are analyzed and among questions of discipline of mathematics education in the last five years are analyzed and classified. Second, an analytical framework suitable for item analysis is examined and the items are analysed by the analytical framework. Finally, helpful implications for discipline of mathematics education assessment can be drawn from this study. It is found that the discipline of mathematics education assessment has the following characteristics: 1) It assesses specific content of the assessment component; 2) It assesses a teacher's theoretical knowledge, practical knowledge and creative knowledge in terms of teaching ability; 3) There are six cognitive assessments; 4) There is an item for difficulty adjustment.

• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.289-306
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• 2009

In this study, pre-service teachers who would be mathematics teachers of secondary school wrote the journal about learning mathematics. Journal writing helped pre-service teachers' math learning. Pre-service teachers could think mathematics reflectively, inquire it, represent their affectivity, plan the self-directed learning, and have the records of learning. They considered the educational issues as instructional methods, organization and management of instruction, assessment, and attitude of teacher. As well, they thought that journal writing was important in learning mathematics and how they would apply their students. Journal writing was meaningful to pre-service teacher education in cognitive and situative aspects.

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

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.511-536
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• 2017

The present study aims to investigate ways in which pre-service secondary mathematics teachers anticipate 1) students' responses to specific mathematical tasks which are chosen or devised by the participating pre-service teachers as requiring students' higher cognitive demand and, 2) their roles as math teachers to scaffold students' mathematical thinking. To achieve the goal, we had our pre-service teachers to engage in an adapted version of Spangler & Hallman-Thrasher(2014)'s Task Dialogue writing activity whose focus was to develop pre-service elementary teachers' ability to orchestrate mathematical discussion. 14 pre-service teachers who were junior at the time enrolled in the Mathematics Teaching Method Course were subjects of the current study. In-depth analysis of both Task Dialogues which pre-service secondary mathematics teachers wrote and audiotapes of the group discussions while they wrote the dialogues suggests the following results: First, the pre-service secondary teachers anticipated how students would approach a task based on their own teaching experiences. Second, they were challenged not only to anticipate more than one correct students' responses but to generate questions for the predicted correct-responses to bring forth students' divergent thinking. Finally, although they were aware that students' knowledge should be the crucial element guiding their decision-making process in teaching, they tended to lower the cognitive demands of tasks by providing students with too much guidance which brought forth the use of procedural knowledge. The study contributes to the field as it provides insights as to what to attend in designing teacher education course whose goal is to provide a foundation for developing pre-service teachers' ability to effectively orchestrate mathematical discussion.

• The Journal of the Korea Contents Association
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• v.17 no.10
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• pp.472-482
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• 2017

In this study, discrete mathematical items were classified into analytical items and mathematical items were analyzed on the basis of analytic framework items of mathematics and the past items of mathematics subject contents of the period 2011-2017 school year. First, the discrete mathematics evaluation areas and evaluation contents proposed by the Korea Institute for Curriculum and Evaluation should be evenly distributed. Second, the items of measuring metacognitive knowledge as a strategic knowledge on the use of cognitive methods should be given. Third, the ratio of the number of items in discrete mathematics to the number of that was 3.8%~6.8%, and the ratio according to the item weighting was 2.2%~6.3%. Fourth, it is analyzed that all the items are suitable for the evaluation goal and the pre-service math teachers who have faithfully implemented the curriculum have maintained the appropriate level of difficulty to solve. Finally, the content items such as the method of counting the discrete mathematics curriculum, the Recurrence Relation, the generation function, and the graph are matched with the teacher certification examination and the mathematics education curriculum of each teachers college. By these reasons, we conclude that the contribution of pre-service teachers to the motivation of learning is obtained and implications.

• The Mathematical Education
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• v.61 no.2
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• pp.339-357
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• 2022

This study explores pre-service secondary mathematics teachers (PSTs)' noticing competency. 17 PSTs participated in this study as a part of the mathematics teaching method class. Individual PST's essays regarding the question 'what effective mathematics teaching would be?' that they discussed and wrote at the beginning of the course were collected as the first data. PSTs' written analysis of an expert teacher's teaching video, colleague PSTs' demo-teaching video, and own demo-teaching video were also collected and analyzed. Findings showed that most PSTs' noticing level improved as the class progressed and showed a pattern of focusing on each key aspect in terms of the Teaching for Robust Understanding of Mathematics (TRU Math) framework, but their reasoning strategies were somewhat varied. This suggests that the TRU Math framework can support PSTs to improve the competency of 'what to attend' among the noticing components. In addition, the instructional reasoning strategies imply that PSTs' noticing reasoning strategy was mostly related to their interpretation of noticing components, which should be also emphasized in the teacher education program.