Xiaoying Chen , Bomi Shin

DOI: Vol.25(No.1) 1-20, 2022

Collaborative learning has been highlighted as an effective method of teachers’ professional development in various studies. To disclose teachers’ discourse threads in the process of collaborative learning for developing their knowledge, this paper adopted two methods including “content analysis” and “time-sequential analysis” of learning analytics. Such analyses were implemented for mining teachers’ updated knowledge and the discourse threads in the discussion during collaborative learning. The materials for analysis involved two aspects: one was from the video-taped lesson observation reports written by teachers before and after discussing, and the other was from their discourses during the discussion process. The results proved that teachers’ knowledge for teaching the centroid of a triangle was updated in the collaborative learning period, and also revealed the discourse threads of teachers’ collaboration contained “requesting information or opinions”, “building on ideas”, and “providing evidence or reasoning”, with the emphasis on “challenging ideas or re-focusing talk”

Teacher Collaborative Learning, Teachers’ Knowledge, Content Analysis, Time-Sequential Analysis

Yujin Lee , Robert M. Capraro , Mary M. Capraro , Ali Bicer

DOI: Vol.25(No.1) 21-43, 2022

Investigating the relationship between intrinsic and extrinsic motivation and their effects on affective mathematics engagement in a cultural context is critical for determining which types of motivation promote affective mathematics engagement and the relationship with cultural affordance. The investigation in the current study is comprised of two dependent studies. The results from Phase 1 indicate that attitude and emotion are better explained by extrinsic motivation, while self-acknowledgment and value are better explained by intrinsic motivation. The results of Phase 2 indicate that the Korean sample has greater extrinsic motivation, attitude, and emotion, while the U.S. sample has greater intrinsic motivation, self-acknowledgment, and value. The key outcome for this research is that disentangling cultural affordance from the emotional and cognitive structures is impossible.

Cultural affordance, Motivation, Intrinsic motivation, Extrinsic motivation, Affective mathematics engagement

Eunhye Flavin , Sunghwan Hwang

DOI: Vol.25(No.1) 45-63, 2022

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.

Mathematics achievement, multicultural students, Systematic review, Opportunity-propensity model

Sunghwan Hwang

DOI: Vol.25(No.1) 91-97, 2022

Hangil Kim

DOI: Vol.25(No.1) 65-89, 2022

Despite its recognition in the field of mathematics education and mathematics, students’ understanding about proof and performance on proof tasks have been far from promising. Research has documented that teachers tend to accept empirical arguments as proofs. In this study, an online survey was administered to examine how Korean secondary mathematic teachers make judgements on mathematical arguments varied along representations. The results indicate that, when asked to judge how convincing to their students the given arguments would be, the teachers tended to consider how likely students understand the given arguments and this surfaces as a controversial matter with the algebraic argument being both most and least convincing for their students. The teachers’ judgements on the algebraic argument were shown to have statistically significant difference with respect to convincingness to them, convincingness to their students, and validity as mathematical proof.

Proof, Reasoning, Secondary Teacher, Teacher Knowledge