Communications of Mathematical Education

Issue: Vol.35 No.2

An Analysis on Qualitative Research in Mathematics Education in Korea: Focusing on increasing validity in qualitative research 나장함 Na Jangham 35(2) 137-152, 2021 An Analysis on Qualitative Research in Mathematics Education in Korea: Focusing on increasing validity in qualitative research 나장함 Na Jangham DOI: JANT Vol.35(No.2) 137-152, 2021 Qualitative research has become a growing area of interest among the Korean educational researchers for the last two decades. As a consequence, the number of studies based on qualitative methods has rapidly increased while the quality of qualitative research has not gained much credit among scholars in Korea. This study explores to current practice of qualitative approaches in mathematics education-related studies. With this in mind, this study also seeks ways to improve the validity and trustworthiness of qualitative approaches, and to present implications for the practical practice of qualitative approaches in mathematics education. To this end, a general trend was investigated by conducting a basic analysis of 13 papers that used qualitative approaches and published in Communications of Mathematical Education < Series E > from 2019 to 2020. Of the 13 papers. Through the basic analysis, 6 out of 13 papers were selected as the object of qualitative text analysis. The result of this qualitative text analysis discusses issues related to the validity and trustworthiness of qualitative research in a detailed manner. In conclusion, based on the results of this qualitative text analysis, this study suggests several key points to keep in mind when applying qualitative approaches in the field of mathematics education in the future.
Changes in Statistical Knowledge and Experience of Data-driven Decision-making of Pre-service Teachers who Participated in Data Analysis Projects 서희주 Suh Heejoo , 한선영 Han Sunyoung 35(2) 153-172, 2021 Changes in Statistical Knowledge and Experience of Data-driven Decision-making of Pre-service Teachers who Participated in Data Analysis Projects 서희주 Suh Heejoo , 한선영 Han Sunyoung DOI: JANT Vol.35(No.2) 153-172, 2021 Various competencies such as critical thinking, systems thinking, problem solving competence, communication skill, and data literacy are likely to be required in the 4th industrial revolution. The competency regarding data literacy is one of those competencies. To nurture citizens who will live in the future, it is timely to consider research on teacher education for supporting teachers’ development of statistical thinking as well as statistical knowledge. Therefore, in this study we developed and implemented a data analysis project for pre-service teachers to understand their changes in statistical knowledge in addition to their experiences of data-driven decision making process that required them utilizing their statistical thinking. We used a mixed method (i.e., sequential explanatory design) research to analyze the quantitative and qualitative data collected. The findings indicated that pre-service teachers have low knowledge level of their understanding on the relationship between population means and sample means, and estimation of the population mean and its interpretation. When it comes to the data-driven decision making process, we found that the pre-service teachers’ experiences varied even when they worked as a small group for the project. We end this paper by presenting implications of the study for the fields of teacher education and statistics education.
A Case Study on the Development of Real-Time Interactive Class Data among Non-face-to-Face Remote Class Types 이동근 Lee Dong Gun , 안상진 Ahn Sang Jin 35(2) 173-191, 2021 A Case Study on the Development of Real-Time Interactive Class Data among Non-face-to-Face Remote Class Types 이동근 Lee Dong Gun , 안상진 Ahn Sang Jin DOI: JANT Vol.35(No.2) 173-191, 2021 This study noted that a survey of teachers in a leading study conducted in Korea during the Pandemics period pointed out that the "real-time interactive" classes account for a significantly small portion of the remote class format. Contentually, the study reported cases of developing and applying "real-time interactive" class materials based on "planar decision requirements" of high school mathematics subject geometry. The teacher who participated in the development was a math teacher who worked at a Seoul-based high school with 28 years of high school teaching experience, and a teacher who was in charge of geometry in the math department in 2020. The development teacher decided to develop real-time interactive classes. In particular, the materials were developed by organizing the class guidance plan in four stages: 'Meeting and Class Guidance', 'Giving motivation', 'Suggesting tasks', 'Individual Investigative Activities and Teacher Feedback' and 'Reflection and Evaluation' which were selected through the process of selecting the class contents and selecting online class tools. At this time, the development teacher produced and presented about five minutes of video material using the videooscribe, a whiteboard animation program. And in case of task number 8, it consisted of recording the students' free thoughts after class, which served as a role of assessment by students themselves and providing feedback to their teachers. This study is a case study that introduces a series of courses in which field teachers develop class materials, and in addition to presenting class materials that can be applied directly to classes, is a result of a study that focuses on the role of presenting samples for future class data development. The materials developed were verified as class materials based on the opinions of the students who participated in the class and the results of the evaluation commissioned by the three math teachers.
A Study on Mathematical Investigation Activity through Using One Mathematical Fact 서보억 Suh Bo Euk 35(2) 193-212, 2021 A Study on Mathematical Investigation Activity through Using One Mathematical Fact 서보억 Suh Bo Euk DOI: JANT Vol.35(No.2) 193-212, 2021 This study is to support the school's mathematics exploration activities. Mathematics exploration is a very important mathematical activity not only for mathematics teachers, but also for students. Looking at the development of mathematics, it has been extended from one mathematical fact to a new mathematical fact. Mathematics exploration activities are not unique to mathematicians, and opportunities are equally given to all ordinary people who are learning mathematics and teaching mathematics. Therefore, the purpose of this study is to develop a method of mathematics exploration activities that teachers and students can perform in schools, based on mathematics exploration activities based on one mathematical fact. Specifically, the cosine law was selected as one mathematical fact, and mathematical exploration activities were performed based on the cosine law. By analyzing the results of these mathematics exploration activities, we developed a method to explore school mathematics. Through the results of this study, it is expected that mathematics exploration activities will be conducted equally by students and teachers in the mathematics classroom.