How do one expert mathematics teacher in China implement deep teaching in problem-solving and problem-posing classroom: A case study
Yanhui Xu
27(1) 1-24, 2024
Yanhui Xu
DOI: JANT Vol.27(No.1) 1-24, 2024
In this paper, the author analyzed characteristics of deep mathematics learning in problem solving and problem-posing classroom teaching. Based on a simple wrong plane geometry problem, the author describes the classroom experience how one expert Chinese mathematics teacher guides students to modify geometry problems from solution to investigation, and guides the students to learn how to pose mathematics problems in inquiry-based deep learning classroom. This also demonstrates how expert mathematics teacher can effectively guide students to teach deep learning in regular classroom.
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U.S. and Korean teacher candidates' approaches to mathematical modeling on a social justice issue
Eunhye Flavin , Sunghwan Hwang
27(1) 25-47, 2024
Eunhye Flavin , Sunghwan Hwang
DOI: JANT Vol.27(No.1) 25-47, 2024
Mathematical modeling activities are gaining popularity in K-12 mathematics education curricula worldwide. These activities serve dual purposes by aiding students in making sense of real-world situations intertwined with social justice while acquiring mathematical knowledge. Despite efforts to prepare teacher candidates for instructing in mathematical modeling within a single country, little attention has been given to teacher candidates' approaches to mathematical modeling on a social justice issue from different countries. This article employs an in-depth, small-scale comparative study to examine the approaches of U.S. and Korean teacher candidates in solving a justice-oriented mathematics task. Our findings reveal that, although both U.S. and Korean teacher candidates identified certain variables as key when constructing a mathematical model, Korean teacher candidates formulated a more nuanced model than U.S. candidates by considering diverse variables. However, U.S. teacher candidates exhibited a heightened engagement in linking the task to social justice issues, whereas Korean teacher candidates barely perceived real-world problems in relation to social justice concerns. This study serves as a valuable tool to inform the roles and limitations of teacher education programs, shaped within specific educational contexts.
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A comparative study of the revised 2022 Korea mathematics curriculum and the international baccalaureate diploma program mathematics: Applications and interpretation standard level - focusing on high school statistics area
Soo Bin Lee , Ah Ra Cho , Oh Nam Kwon
27(1) 49-73, 2024
Soo Bin Lee , Ah Ra Cho , Oh Nam Kwon
DOI: JANT Vol.27(No.1) 49-73, 2024
This study aims to explore the direction of high school statistics education in Korea through a comparative analysis between the revised 2022 Korea mathematics curriculum and the IBDP Mathematics: Application & Interpretation Standard Level (IBDP AI SL) Curriculum and textbooks. The study seeks to investigate the Statistics unit of the two curricula, compare chapter structures and content elements of textbooks, and explore exercises on modeling and utilization of technology tools. The results are as follows: First, the IBDP AI SL statistics covered a broader range of topics. Second, exercises in Korean high school textbooks typically inquire about one or two questions in each topic, whereas the IBDP AI SL textbook's exercises present a real-life scenario on all relevant topics through sub-questions. Third, the Korean textbook guides the utilization of technology tools only in exercises presented after completing the entire chapter or where the calculation is complex. Also, there were only a handful of modeling exercises in the Korean textbook in contrast to most of the lessons and exercises were modeling exercises in the IBDP AI SL textbook. If these findings can be integrated into teaching practices in Korea, it will provide a direction for statistics education in Korean high schools.
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Investigating the substance and acceptability of empirical arguments: The case of maximum-minimum theorem and intermediate value theorem in Korean textbooks
Hangil Kim
27(1) 75-92, 2024
Hangil Kim
DOI: JANT Vol.27(No.1) 75-92, 2024
Mathematical argument has been given much attention in the research literature as a mediating construct between reasoning and proof. However, there have been relatively less efforts made in the research that examined the nature of empirical arguments represented in textbooks and how students perceive them as proofs. Cases of point include Intermediate Value Theorem [IVT] and Maximum-Minimum theorem [MMT] in grade 11 in Korea. In this study, using Toulmin’s framework (1958), the author analyzed the substance of the empirical arguments provided for both MMT and IVT to draw comparisons between the nature of datum, claims, and warrants among empirical arguments offered in textbooks. Also, an online survey was administered to learn about how students view as proofs the empirical arguments provided for MMT and IVT. Results indicate that nearly half of students tended to accept the empirical arguments as proofs. Implications are discussed to suggest alternative approaches for teaching MMT and IVT.
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Comparison perceptions of secondary mathematics teachers between Korea and Indonesia in covid-19 era
Taekwon Son , Kwangho Lee , Ari Widodo
27(1) 93-109, 2024
Taekwon Son , Kwangho Lee , Ari Widodo
DOI: JANT Vol.27(No.1) 93-109, 2024
This study compared the perceptions of 548 Korean and Indonesian secondary school teachers in the COVID-19 era and examined factors affecting their intention to continue online learning. Based on survey data, the two countries were compared on seven factors (teaching readiness, challenges and issues, competencies that require training, sources of support, types of support, and endurance). Furthermore, we examined what factors influence the intention to continue online learning. As a result, Korean teachers perceived their teaching readiness for online learning to be less than that of Indonesian teachers. Indonesian teachers perceived that they did not receive sufficient support. Additionally, factors affecting the intention to continue online learning differed depending on the country. Based on these results, we suggested implications for integrating online learning into mathematics education.
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Fostering growth: The impact of STEM PBL on students' self-regulation and motivation
Hyunkyung Kwon , Robert M. Capraro , Yujin Lee , Ashley Williams
27(1) 111-127, 2024
Hyunkyung Kwon , Robert M. Capraro , Yujin Lee , Ashley Williams
DOI: JANT Vol.27(No.1) 111-127, 2024
There is an increasing concern in the United States regarding the workforce’s ability to maintain a competitive position in the global economy. This has led to an increased interest in effective science, technology, engineering, and mathematics (STEM) education. The purpose of this study was to investigate the effect of STEM project-based learning (PBL) on students’ self-regulation and motivation to learn. Secondary students (n = 60) participated in a STEM summer camp in which STEM PBL was utilized. Results showed that students increased their self-regulation skills (t = 2.83, df = 59, p = .004) and motivation (t = 2.25, df = 59, p =.004), with Cohen’s d effect sizes of 0.395 and 0.404, respectively. Student-centered learning and peer collaboration while solving real-world problems were likely the greatest contributing factors to the outcomes. Educators should utilize the results to provide opportunities for students to experience STEM PBL.
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Learning motivation of groups classified based on the longitudinal change trajectory of mathematics academic achievement: For South Korean students
Yongseok Kim
27(1) 129-150, 2024
Yongseok Kim
DOI: JANT Vol.27(No.1) 129-150, 2024
This study utilized South Korean elementary and middle school student data to examine the longitudinal change trajectories of learning motivation types according to the longitudinal change trajectories of mathematics academic achievement. Growth mixture modeling, latent growth model, and multiple indicator latent growth model were used to examine various change trajectories for longitudinal data. As a result of the analysis, it was classified into 4 subgroups with similar longitudinal change trajectories of mathematics academic achievement, and the characteristics of the mathematics subject, which emphasize systematicity, appeared. Furthermore, higher mathematics academic achievement was associated with higher self-determination and higher academic motivation. And as the grade level increases, amotivation increases and self-determination decreases. This study suggests that teaching and learning support using this is necessary because the level of learning motivation according to self-determination is different depending on the level of mathematics academic achievement reflecting the characteristics of the student.
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Mathematics classrooms that students love, grade 1: Numbers and operations by Jinho Kim (2023)
Sheunghyun Yeo
27(1) 151-156, 2024
Sheunghyun Yeo
DOI: JANT Vol.27(No.1) 151-156, 2024
Mathematics Classrooms that Students Love, Grade 1: Numbers and Operations is a book that reviews student-centered educational strategies in mathematics, contrasting the teacher-centered approach. The book included lesson plans, transcriptions, and annotated comments for imperative instructional practices. Drawing from a range of effective instructional practices, it explores how student engagement and enjoyment in mathematics can be fostered through innovative lesson structures, activities, and discussions.
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