서보억 Suh¸ Boeuk , 임해미 Rim¸ Haemee

DOI: JANT Vol.37(No.3) 329-348, 2023

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This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.

박수민 Park¸ Soomin

DOI: JANT Vol.37(No.3) 349-368, 2023

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The revised 2022 educational curriculum highlighted the significance of mathematical literacy as a foundational competency that can be cultivated through the learning of various subjects, along with language proficiency and digital literacy. However, due to the lack of a precise definition for mathematical literacy, there exists a challenge in systematically implementing it across all subjects in the educational curriculum. The aim of this study is to clarify the definition of mathematical literacy in the curriculum through a literature review and to analyze the application patterns of mathematical literacy in other subjects so that mathematical literacy can be systematically applied as a basic literacy in Korea's curriculum. To achieve this, the study first clarifies and categorizes the meaning of mathematical literacy through a comparative analysis of terms such as numeracy and mathematical competence via a literature review. Subsequently, the study compares the categories of mathematical literacy identified in both domestic and international educational curricula and analyzes the application of mathematical literacy in the education curriculum of New South Wales (NSW), Australia, where mathematical literacy is reflected in the achievement standards across various subjects. It is expected that understanding each property by subdividing the meaning of mathematical literacy and examining the application modality to the curriculum will help construct a curriculum that reflects mathematical literacy in subjects other than mathematics.

김리나 Kim¸ Rina

DOI: JANT Vol.37(No.3) 369-392, 2023

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Equity in mathematics education focuses on the relationship between social inequality caused by factors including culture and race. Equity in mathematics education has recently been recognized as one of the important issues of mathematics education and may provide grounds for setting the new direction of mathematics education for the future society. However, research on mathematics education equity in South Korea is still insufficient. The purpose of the paper is to provide implications for mathematics education research by reviewing the the literature regarding mathematics education equity. Focusing on 195 previous studies, I analyzed the significance of discussions on mathematics education equity in mathematics education, the concept of mathematics education equity, and research questions. In addition, I divided the previous studies into five categories based on their research questions: mathematics teachers, mathematics curriculum, mathematics classrooms, mathematics assessment, and socio-cultural environments surrounding mathematics classrooms. The analysis of the study are expected to provide implications in terms of new research questions and methods to domestic mathematics education researchers.

안종수 An¸ Jong Su

DOI: JANT Vol.37(No.3) 393-417, 2023

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The necessity of this study was to improve academic achievement and math attitudes through leveled reciprocal peer learning, and the specific purpose was as follows. First, each unit seeks to select learning methods and contents for each level of class for reciprocal peer learning, second, develop activity sites for each level through curriculum analysis, and third, improve academic achievement and math attitudes through classes that apply reciprocal peer learning activities. The study was conducted on 60 second graders of 00 High School in 00 Metropolitan City. Two classes were selected for the midterm exam results for the first semester of the second grade. Class 1 was divided into the experimental group and the other class 1 was divided into the comparative group, and 13 classes were conducted for about 2 months from May 1 to July 4, 2020. The experimental group (30 students) was a class that applied leveled reciprocal peer learning activities, and the comparative group (30 students) was a class that was taught based on traditional textbooks. As a result of this study, first, in this study, it was possible to improve academic achievement and math attitudes by setting learning contents for each unit and applying reciprocal peer learning activities for each level. Second, the experimental group taught by applying leveled reciprocal peer learning activities was effective in academic achievement and math attitudes compared to the comparative group taught based on traditional textbooks to students in the upper, middle, and lower groups. Third, in the class applying leveled reciprocal peer learning activities, low-level students who were neglected in math classes were also interested in the class and actively participated in it, showing improvement.

방정숙 Pang¸ Jeongsuk , 김리나 Kim¸ Leena , 곽은애 Gwak¸ Eunae

DOI: JANT Vol.37(No.3) 419-442, 2023

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This study investigated fifth graders' understanding of variables from a generalized arithmetic and a functional perspectives of early algebra. Specifically, regarding a generalized perspective, we included the property of 1, the commutative property of addition, the associative property of multiplication, and a problem context with indeterminate quantities. Regarding the functional perspective, we covered additive, multiplicative, squaring, and linear relationships. A total of 246 students from 11 schools participated in this study. The results showed that most students could find specific values for variables and understood that equations involving variables could be rewritten using different symbols. However, they struggled to generalize problem situations involving indeterminate quantities to equations with variables. They also tended to think that variables used in representing the property of 1 and the commutative property of addition could only be natural numbers, and about 25% of the students thought that variables were fixed to a single number. Based on these findings, this paper suggests implications for elementary school students' understanding and teaching of variables.

이영미 Lee¸ Youngmi , 한채린 Han¸ Chaereen , 임웅 Lim¸ Woong

DOI: JANT Vol.37(No.3) 443-465, 2023

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This study examines the content of vectors and matrices in Artificial Intelligence Mathematics textbooks (AIMTs) from the 2015 revised mathematics curriculum. We analyzed the implementation of foundational mathematical concepts, specifically definitions and related sub-concepts of vectors and matrices, in these textbooks, given their importance for understanding AI. The findings reveal significant variations in the presentation of vector-related concepts, definitions, sub-concepts, and levels of contextual information and descriptions such as vector size, distance between vectors, and mathematical interpretation. While there are few discrepancies in the presentation of fundamental matrix concepts, differences emerge in the subtypes of matrices used and the matrix operations applied in image data processing across textbooks. There is also variation in how textbooks emphasize the interconnectedness of mathematics for explaining vector-related concepts versus the textbooks place more emphasis on AI-related knowledge than on mathematical concepts and principles. The implications for future curriculum development and textbook design are discussed, providing insights into improving AI mathematics education.

이상구 Lee¸ Sang-gu , 남윤 Nam¸ Yun , 이재화 Lee¸ Jae Hwa

DOI: JANT Vol.37(No.3) 467-482, 2023

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In this paper, we present our new teaching and learning materials on gradient descent method, which is widely used in artificial intelligence, available for college mathematics. These materials provide a good explanation of gradient descent method at the level of college calculus, and the presented SageMath code can help students to solve minimization problems easily. And we introduce how to solve least squares problem using gradient descent method. This study can be helpful to instructors who teach various college-level mathematics subjects such as calculus, engineering mathematics, numerical analysis, and applied mathematics.

허남구 Heo¸ Nam Gu

DOI: JANT Vol.37(No.3) 483-495, 2023

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In his book "Exercitationum Mathematicalarum," a 17th-century mathematician van Schooten proposed linkages for drawing parabola, ellipse, and hyperbola. The linkages proposed by van Schooten can be used in action-based mathematics education and as a material for using mathematical history in school mathematics. In particular, students are not provided with the opportunity to learn by manipulating the quadratic curves in the high school curriculum, so van Schooten's linkages can be used for school mathematics. To this end, a method of implementing van Schooten's linkage in a dynamic geometry environment was presented, and proved that the traces of the figure drawn using van Schooten's linkage were parabola, ellipse, and hyperbola.

이유진 Lee¸ Yujin

DOI: JANT Vol.37(No.3) 497-516, 2023

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The purpose of this study is to explore the possibility of enhancing teachers' pedagogical design capacity using ChatGPT. For this purpose, a survey was conducted to investigate preservice teachers' perceptions of ChatGPT, and lesson plans created using ChatGPT were analyzed from the perspectives of design elements, conversations with ChatGPT, and information transforming. The results showed that pre-service teachers have a rather passive attitude toward the use of ChatGPT, and that teacher moderation and ChatGPT characteristics affect pre-service teachers' perceptions of the use of ChatGPT. In addition, pre-service teachers mainly used ChatGPT for motivational activities and play activities, and there were significant differences in the level of utilization of ChatGPT among individuals, i.e., how they interacted with ChatGPT and how they transformed information. Based on these findings, we explored the possibility of using ChatGPT for teacher professional development and teacher education.

이동근 Lee¸ Dong Gun , 김한수 Kim¸ Han Su

DOI: JANT Vol.37(No.3) 517-544, 2023

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This study presents the process and outcomes of developing mathematical-informatics linkage·convergence class materials, based on previous research findings that indicate a lack of such materials in high schools despite the increasing need for development of interdisciplinary linkage·convergence class materials In particular, this research provides insights into the discussions of six teachers who participated in the same professional learning community program, aiming to create materials that are suitable for linkage·convergence class materials and highly practical for classroom implementation. Following the material development process, a theme-based design model was applied to create the materials. In alignment with prior research and consensus among teacher learning community members, mathematics and informatics teachers developed instructional materials that can be utilized together during a 100-minute block lesson. The developed materials utilize societal issue contexts to establish links between the two subjects, enabling students to engage in problem-solving through mathematical modeling and coding. To increase the validity and practicality of the developed resources during their field application, CVR verification was conducted involving field teachers. Incorporating the results of the CVR verification, the finalized instructional materials were presented in the form of a teaching guide. Furthermore, we aimed to provide insights into the trial-and-error experiences and deliberations of the developers throughout the material development process, with the intention of offering valuable information that can serve as a foundation for conducting related research by field researchers. These research findings hold value as empirical evidence that can explore the applicability of teaching material development models in fields. The accumulation of such materials is expected to facilitate a cyclical relationship between theoretical teaching models and practical classroom applications.

오세준 Oh¸ Se Jun

DOI: JANT Vol.37(No.3) 945-967, 2023

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This study investigates effective ChatGPT prompts for solving mathematical problems, focusing on the chapters of quadratic equations and quadratic functions. A structured prompt was designed, following a sequence of 'Role-Rule-Example Solution-Problem-Process'. In this study, an artificial intelligence model combining GPT-4, Wolfram plugin, and Advanced Data Analysis was utilized. Wolfram was used as the primary tool for calculations to reduce computational errors. When using the structured prompt, the accuracy rate for problems from nine high school mathematics textbooks on quadratic equations and quadratic functions was 91%, showing higher performance compared to zero-shot prompts. This confirmed the effectiveness of the structured prompts in solving mathematical problems. The structured prompts designed in this study can contribute to the development of intelligent information systems for personalized and customized education.