• School Mathematics
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• v.9 no.3
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• pp.375-396
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• 2007

The purpose of this study is to analyze how a mathematics teacher and a high school student make the meaning in a graph and how aspects of the interpretation of a graph are interacted during the signification process, and to suggest considerations for teaching and learning of a graph. The findings of a case study have led to conclusions as follows: All of them have a difficulty in making the meaning in a graph and construct the meaning as a nested signification model. In the process which they make the meaning, they interrelate cognitive, contextual, and affective aspects and construct interpretants. In this process, a teacher focuses on cognitive aspect, based on a qualitative approach. But a student considers contextual aspect more, based on a quantitative approach. This study suggests three considerations for teaching and learning of a graph.

• Journal of the Korean School Mathematics Society
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• v.19 no.4
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• pp.329-356
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• 2016

The purpose of the study was to develop project based math learning using future prospective jobs to find out its effects on elementary school student's attitude toward mathematics and career awareness. Also, this study aims at implementation of this project based math learning program in school math education. The project based math learning using future prospective jobs was conducted through 19 lessons for 7 weeks. As a result, the project based math learning using prospective jobs is turned out to be effective on developing attitudes on mathematics and career awareness positively.

• School Mathematics
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• v.11 no.4
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• pp.685-706
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• 2009

This dissertation is aimed to investigate the reason why a contextualization is needed to help the meaningful teaching-learning concerning multiplications and divisions of fractions, the way to make the contextualization possible, and the methods which enable us to use it effectively. For this reason, this study intends to examine the differences of situations multiplying or dividing of fractions comparing to that of natural numbers, to recognize the changes in units by contextualization of multiplication of fractions, the context is set which helps to understand the role of operator that is a multiplier. As for the contextualization of division of fractions, the measurement division would have the left quantity if the quotient is discrete quantity, while the quotient of the measurement division should be presented as fractions if it is continuous quantity. The context of partitive division is connected with partitive division of natural number and 3 effective learning steps of formalization from division of natural number to division of fraction are presented. This research is expected to help teachers and students to acquire meaningful algorithm in the process of teaching and learning.

• Communications of Mathematical Education
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• v.34 no.3
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• pp.201-214
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• 2020

In December 2019, new coronavirus (COVID-19) which was started from Wuhan caused a dramatic changes in college mathematics education around the world from the spring semester 2020. All classes in college was switched to online classes at once. As a result, many efforts were made to keep the quality of mathematics education in college. We have discussed the situation that we did experience and discussed a possible changes that future mathematics education and research can face in the post-corona era (after coronavirus, AC era). Finally, we discussed an evaluation method for student activities that can be used in online class evaluation.

• The Mathematical Education
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• v.56 no.2
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• pp.161-175
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• 2017

The purpose of this study is to compare and analyze the impact on low-achievers in mathematics who studied mathematics using Blended e-learning and Personalized system of instruction after school. Blended e-learning is defined as the management of e-learning using the e-study run by the education office in local. Personalized system of instruction was proceeded as follows; (1) all students are given a syllabicated learning task and a study guide, (2) students study the material autonomously according to their own pace for a certain period of time, (3) the teacher strengthens the students' motivation through grading and feedback after students study a subject and solve the evaluation problem. The learning materials for Personalized system of instruction are re-edited the offline education contents provided by the blended e-learning to the level of students. The 118 $7^{th}$ grade students from the D middle school participated in this study. The results were verified by achievement tests before and after the study, as well as survey regarding their attitude toward mathematics. The results are as follows. First, Blended e-learning has more positive impacts than Personalized system of instruction in mathematics achievement. Second, there was no difference in mathematics achievement according to their self-directed learning between Blended e-learning and Personalized system of instruction. Third, both types utilizing Blended e-learning and Personalized system of instruction have positive effect on attitude toward mathematics, and there is not their difference between two methods of teaching and learning mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.12 no.1
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• pp.79-100
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• 2008

Freudenthal has advocated the reinvention method. In that method, the pupils start with a meaningful context, not ready-made concepts, and invent informative method through which he could arrive at the formative concepts progressively. In many face the reinvention method is contrary to the traditional method. In traditional method, which was named as 'concretization method' by Freudenthal, the pupils start with ready-made concepts, and applicate this concepts to various instances through which he could arrive at the understanding progressively. Through analysis, it turns out that Korea's seventh elementary mathematics textbook is based on concretization method. In this thesis, first of all, I will reconstruct probability unit of seventh elementary textbook according to Freudenthal's reinvention method. Next, I will perform teaching experiment which is ruled by new lesson design. Lastly, I analysed the effects of teaching experiment. Through this study, I obtained the following results and suggestions. First, the reinvention method is effective on the teaching of probability concept and algorithm. Second, in comparison with current textbook strand, my strand which made probability concept go ahead and combinatorics concept let behind is not deficiency. Third, tree diagram is effective matrix which contribute to formalization of combinatorics calculation. Lastly, except for fraction, diverse representation of probability, for example percentage or informal ratio expression must be introduced in teaching process.

• Journal of the Korean Data and Information Science Society
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• v.23 no.6
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• pp.1173-1181
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• 2012

In order to suggest the basic resources of mathematics education to the specialized high school, we investigate the attitude of students about mathematics education. Questionnaires survey was carried on 654 students and we use the statistical analysis such as chi-square test, gamma, generalized linear model, Anova, regression. Several result can be derived from the questionnaire analysis. There are differences between the general and specialized high school students in the interest, pre-learning ability etc. The specialized school students think the usefulness of mathematics more importantly, while the general school students think more closely related to their course.

• Journal of Educational Research in Mathematics
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• v.22 no.3
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• pp.331-352
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• 2012

The purpose of the study is to verify what cognitive variables have significant effect on proportional problem solving. For this aim, the study classified proportional problem into well-structured, moderately-structured, ill-structured problem by the level of structuredness, then classified the cognitive variables as well into factual algorithm knowledge, conceptual knowledge, knowledge of problem type, quantity change recognition and meta-cognition(meta-regulation and meta-knowledge). Then, it verified what cognitive variables have significant effects on 6th graders' proportional problem solving abilities through multiple regression analysis technique. As a result of the analysis, different cognitive variables effect on solving proportional problem classified by the level of structuredness. Through the results, the study suggest how to teach and assess proportional reasoning and problem solving in elementary mathematics class.

• Journal of the Korean School Mathematics Society
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• v.18 no.1
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• pp.61-82
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• 2015

This study investigated the learning process of Chines international student within a technology environment, who was studying in Korea to be well equipped as a math teacher in future. Her activities were observed and guided in a class for pre-service teachers in one university, Kyunggido, in the second semester of 2014. She experienced obstacles such as the lacks of comprehending Korean sentences, Korean math terminologies, mathematical concepts, and fidelities of technology in her learning. She was recovered by bilingual effect, visualization activities, repetition activities, and group activities. There was a learning helper who made her learning possible in a bilingual way. Thus, the bilingual education is crucial for students with multi-cultural background.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.747-769
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• 2014

The purposes of this study were to investigate pre-service mathematics teachers' perceptions of the role of cooperating teachers and teacher interactions during teaching practicum. Thirty-four pre-service mathematics teachers who finished student teaching participated in the study. The researcher collected data from various sources such as a questionnaire, interviews, and written documents. According to the results of the study, more than 50 percent of the participants showed negative responses to all of the questionnaire items on teaching activities or guidance of cooperating teachers. Cooperating teachers mainly played a role in the stage of reflection of student teacher's teaching practice, and they provided specific feedback and guidance of teaching and learning methods and contents. Cooperating teachers played roles as (mathematics) teacher educators, classroom observers, and co-teachers, but their roles as teacher educators or co-teachers should be more stressed for pre-service mathematics teachers' professional development.