• The Mathematical Education
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• v.61 no.1
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• pp.179-198
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• 2022

Teaching is delicate, complicated, and demanding work, and especially beginning teachers set forth their difficulties in preparing and implementing mathematics instruction. It is important to ensure the quality of beginning mathematics teachers' instruction above a consistent level because such affirmation justifies the national policy on teacher education as well as the individual efforts of preservice teachers in South Korea. The current study collected mathematics lessons of the two beginning teachers who graduated from the same teacher training institute and worked at the same high school. The findings reported what features their lessons have with regard to the learning environment, engaging students in learning, deepening student learning, and using representations of the edTPA in order to identify what can or cannot be expected in their mathematics instruction. The instruction of the one teacher was assessed middle or more than middle scores throughout the rubrics, but the other one had lower scores. Based on these findings, this study suggested the implications for teacher education in ways of improving the quality of instruction of beginning mathematics teachers.

• Journal of the Korean School Mathematics Society
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• v.20 no.2
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• pp.141-161
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• 2017

As it's important to understand the order of operation in the mixed calculation of natural number and perform it, mathematics curriculums and textbooks focused that students can calculate with understanding the order of operation and its principles. For attaining the implications of teaching about the mixed calculations, this study analyzed the problem solving abilities and error types of 67 elementary students and 57 pre-service teachers using questionnaire which was developed in this study and composed of numeric expressions and word problems. The conclusions drawn from this study were as follows: Students were revealed the correct rates(86.2% and 73.5%) in numeric expressions and word problems, but they were showed the paradigmatic error types-the errors of the order of operation and the composition of numeric expression from word problems. Even though the correct rates of the preservice teachers were extremely high, the result of problem solving processes required that it's needed to be interested in teaching the principles of the order of operation in the mixed calculations. In addition, subjects were revealed the problems about using parentheses and equal sign.

• The Mathematical Education
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• v.58 no.2
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• pp.161-185
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• 2019

This study aims to examine pre- and in-service mathematics teachers' reasoning and how they justify their reasoning. For this purpose, we developed a set of mathematical tasks that are based on mathematical contents for middle grade students and conducted the survey to pre- and in-service teachers in Korea. Twenty-five pre-service teachers and 8 in-service teachers participated in the survey. The findings from the data analysis suggested as follows: a) the pre- and in-service mathematics teachers seemed to be very dependent of the manipulation of algebraic expressions so that they attempt to justify only by means of procedures such as known algorithms, rules, facts, etc., rather than trying to find out a mathematical structure in the first instance, b) the proof that teachers produced did not satisfy the generality when they attempted to justify using by other ways than the algebraic manipulation, c) the teachers appeared to rely on using formulas for finding patters and justifying their reasoning, d) a considerable number of the teachers seemed to stay at level 2 in terms of the proof production level, and e) more than 3/4 of the participating teachers appeared to have difficulty in mathematical reasoning and proof production particularly when faced completely new mathematical tasks.

• School Mathematics
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• v.17 no.2
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• pp.331-353
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• 2015

The purpose of this study is to investigate expertise of mathematic teachers in development of designing assessment items, derived from development of assessing tools, which is a part of assessing competence of mathematic teachers. Analysis was made upon the difference between Pre-service and In-service teachers in terms of self-perception on assessment items. The assessing references of self-perception on developing in designing assessment items consist of followings: one's Beliefs and Self-Rating in designing assessment items. This investigation on self-perception was carried out by both pre-service teachers who are currently enrolled students in college and in-service teachers who are currently incumbent in secondary schools. This analysis based on 310 teachers' answers on self-perception of designing assessment items, both in- and preservice.

• Education of Primary School Mathematics
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• v.23 no.1
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• pp.1-26
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• 2020

The purpose of this study was to analyze the process of reading and understanding mathematics lesson plan through eye-tracking to suggest implications of pre-service teacher education. As a result of the analysis, the pre-service teachers felt that the mathematics lesson plans were more difficult than the experienced teacher, they read and understood the mathematics lesson plan in sequential order. Experienced teachers, on the other hand, used a hypertext reading strategy to find key topics and make connections in order to grasp the flow of instruction in mathematics lesson plan. Based on these results, several suggestions were drawn for pre-service teachers when teaching their ability to read and understand mathematics lesson plan.

• Education of Primary School Mathematics
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• v.27 no.1
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• pp.1-18
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• 2024

Teachers' ability to notice is a crucial indicator of their instructional expertise. Despite the significance of this ability, research in mathematics teacher education has predominantly focused on the noticing of preservice teachers, with limited exploration into the noticing abilities of experienced in-service teachers. This study addresses this gap by examining the noticing characteristics of in-service elementary teachers actively developing their competency in elementary mathematics education. For this purpose, 23 elementary school teachers were asked to complete an analysis sheet while viewing the mathematics lesson video depicting on the concept of (fraction)÷(natural number), allowing us to scrutinize their attending, interpreting, and responding skills in detail. The study's results revealed that teachers demonstrated a tendency to attend mathematically significant aspects related to the teaching of fraction division. They interpreted the observed phenomena through the lens of fraction division's instructional principles, proposing specific pedagogical alternatives. These findings offer valuable insights for mathematics teacher education research.

• The Mathematical Education
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• v.63 no.3
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• pp.527-547
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• 2024

It is difficult for mathematics teachers to develop mathematical modeling tasks and implement mathematical modeling lessons for their students. These difficulties serve as a reason why mathematical modeling lessons are not implemented well in school mathematics. In this study, we aimed to examine how preservice mathematics teachers (PMTs) modify mathematical modeling tasks in mathematics textbooks as a way to develop mathematical modeling tasks and how they implement the mathematical modeling lesson. In particular, we focused on how the openness and reality reflected in the task and the mathematical modeling process change as PMTs modify the tasks. We collected data through PMTs' evaluation reports on analyzing textbook tasks, task modification, lesson plans and implementations, peer evaluation, and self-evaluation. Then, we analyzed these data according to the case analysis process. The findings revealed that when PMTs modified the textbook task, they focused on and improved the openness and the defining variables and the model stages of mathematical modeling process. However, when PMTs implemented lesson, the openness and the defining variables and the model stages of mathematical modeling process were restricted again. PMTs did not focus on other stages. Based on these results, the theoretical and practical implications of the study was discussed.

• Journal of Educational Research in Mathematics
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• v.27 no.1
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• pp.51-67
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• 2017

Analogical reasoning is a mathematically useful way of thinking. By analogy reasoning, students can improve problem solving, inductive reasoning, heuristic methods and creativity. The purpose of this study is to analyze the analogical reasoning of preservice mathematics teachers while constructing quadratic curves defined by eccentricity. To do this, we produced tasks and 28 preservice mathematics teachers solved. The result findings are as follows. First, students could not solve a target problem because of the absence of the mathematical knowledge of the base problem. Second, although student could solve a base problem, students could not solve a target problem because of the absence of the mathematical knowledge of the target problem which corresponded the mathematical knowledge of the base problem. Third, the various solutions of the base problem helped the students solve the target problem. Fourth, students used an algebraic method to construct a quadratic curve. Fifth, the analysis method and potential similarity helped the students solve the target problem.

• Journal for History of Mathematics
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• v.18 no.2
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• pp.43-54
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• 2005

The aims of the study were to analyze the contents of elementary mathematics curriculum in order to help students to have ideas about the history of mathematics and to apply the ideas to develop their knowledge of mathematicians or mathematical history into the lesson ideas for preservice elementary teachers and elementary students. As a result, many ideas of mathematical connection into the history of mathematics are reviewed, and posters about Pythagoras and Pascal are designed to help students to reinvent the idea of triangular numbers and square numbers.

• School Mathematics
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• v.13 no.4
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• pp.543-562
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• 2011

In this research, the PBL program was developed in terms of 'classroom practice ability', 'self-develop ability', and 'teaching profession character' which classroom friendly teachers get ready and was applied to the classroom friendly elementary mathematics teachers for studying the effectiveness of the program. From the result elementary preservice teachers' disposition in terms of thought about mathematics, mathematics learning, and mathematics teaching was changed to the positive direction through the PBL. They could developed their classroom practice ability, self-develop ability, and teaching profession character through application of new knowledge and plan for problem solving and reflection after solving the problems.