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Examining Multicultural Education Research in Korean Mathematics Education
Eunhye Flavin,황성환 한국수학교육학회 2022 수학교육연구 Vol.25 No.1
Multicultural students are a rapidly growing population in South Korea. Previous studies from the South Korean mathematics education community have reported low mathematics achievement levels of this population compared to Korean-born students. However, a systematic literature review was hardly employed. This study aims to synthesize the factors that affect the mathematics achievement of multicultural students to provide directions for future research and practical directions. Using an Opportunity-Propensity framework suggested by Byrnes and Miller, this study analyzed twenty-seven peer-reviewed journal articles on this topic. The results showed that the majority of the studies focused on the impact of the opportunity factors such as mathematics curriculum and teachers on mathematics achievements. We suggest that more studies regarding distal factors (e.g., students’ prior achievement) and propensity factors (e.g., prerequisite knowledge) are needed.
U.S. and Korean teacher candidates' approaches to mathematical modeling on a social justice issue
Eunhye Flavin,황성환 한국수학교육학회 2024 수학교육연구 Vol.27 No.1
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.
The Use of Technology in Korean Mathematics Education: A Systematic Review
황성환,Eunhye Flavin,Ji-Eun Lee 대한수학교육학회 2023 수학교육학연구 Vol.33 No.3
The use of educational technology has the potential to enhance teachers’ instructional quality and student achievement. The international research community has conducted various studies to address the opportunities and challenges of using technologies for teaching and learning mathematics education. However, relatively little attention has been given to identifying research topics in Korean domestic research. Therefore, the present study aims to provide a systematic literature review that identifies and compares the research topics studied nationally and internationally. The domestic literature was collected from the KCI database. We employed a topic modeling technique to analyze overall research topics and trends in technology use in mathematics education. Additionally, we compared these findings with our previous studies where we examined international research trends. This study revealed some similarities and differences in research trends between domestic and international studies and suggested implications for future studies.
황성환,Eunhye Flavin 한국수학교육학회 2023 수학교육연구 Vol.26 No.1
Mathematics educators have emphasized the importance of language use in mathematics education. However, previous studies have predominantly focused on the spoken language used in mathematics classrooms, which provides limited information on the written language used by mathematics teachers. The written language reflects the characteristics of the teacher community and social, cultural, and political contexts. Moreover, the written language affects teachers' instructional practices and their students’ mathematics learning experiences. Therefore, this study aims to review a study conducted by Lee and Kim (2022) investigating changes in mathematics teachers’ pedagogical lexicons.
이지은,Eunhye Flavin,김상미,황성환 대한수학교육학회 2024 수학교육학연구 Vol.34 No.3
The practice of recording and representing mathematical thinking of students is critical for enriching their understanding of mathematical concepts and procedures. However, teacher education often overlooks this competency, leaving it to be learned through experimentation in the field. This study aims to examine how mathematics preservice teachers (PSTs) perform in recording and representing mathematical ideas of students, offering insights to teacher educators to support PSTs' development of these skills. We compared PSTs in the U.S. and Korea in these teaching skills to reveal the intricate process involved. Ninety PSTs, 45 from each country, participated in representing and recording four different student mathematical strategies for two-digit addition problems. To examine PSTs' work in recording and representing student thinking, this study utilized an analytical framework consisting of five categories: authenticity, accuracy, organization, support for understanding, and specification. The findings indicate that both groups demonstrate higher performance in authentic translation of student work and accurate use of mathematical notation and values. However, both groups of PSTs show little evidence in their performance of representing mathematical thinking of students using a variety of visual models. We also found discrepancies between these two groups of PSTs. PSTs in Korea are more likely to record mathematical thinking as they are, while PSTs in the U.S. describe the student thinking pathways in more detail. This study has implications for mathematics teacher educators in both countries, highlighting specific elements they need to focus on to nurture PSTs' recording and representing of mathematical thinking of students.
Xu, Sheng,Yan, Zheng,Jang, Kyung-In,Huang, Wen,Fu, Haoran,Kim, Jeonghyun,Wei, Zijun,Flavin, Matthew,McCracken, Joselle,Wang, Renhan,Badea, Adina,Liu, Yuhao,Xiao, Dongqing,Zhou, Guoyan,Lee, Jungwoo,Chu American Association for the Advancement of Scienc 2015 Science Vol.347 No.6218
<P><B>Popping materials and devices from 2D into 3D</B></P><P>Curved, thin, flexible complex three-dimensional (3D) structures can be very hard to manufacture at small length scales. Xu <I>et al.</I> develop an ingenious design strategy for the microfabrication of complex geometric 3D mesostructures that derive from the out-of-plane buckling of an originally planar structural layout (see the Perspective by Ye and Tsukruk). Finite element analysis of the mechanics makes it possible to design the two 2D patterns, which is then attached to a previously strained substrate at a number of points. Relaxing of the substrate causes the patterned material to bend and buckle, leading to its 3D shape.</P><P><I>Science</I>, this issue p. 154; see also p. 130</P><P>Complex three-dimensional (3D) structures in biology (e.g., cytoskeletal webs, neural circuits, and vasculature networks) form naturally to provide essential functions in even the most basic forms of life. Compelling opportunities exist for analogous 3D architectures in human-made devices, but design options are constrained by existing capabilities in materials growth and assembly. We report routes to previously inaccessible classes of 3D constructs in advanced materials, including device-grade silicon. The schemes involve geometric transformation of 2D micro/nanostructures into extended 3D layouts by compressive buckling. Demonstrations include experimental and theoretical studies of more than 40 representative geometries, from single and multiple helices, toroids, and conical spirals to structures that resemble spherical baskets, cuboid cages, starbursts, flowers, scaffolds, fences, and frameworks, each with single- and/or multiple-level configurations.</P>