• The Mathematical Education
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• v.55 no.3
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• pp.299-316
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• 2016

The abilities for 21st learners have recently changed and learners' engagement is emphasized. In flipped classroom, students learn the prerequisite concepts of the lecture online in advance and perform various types of activities based on interaction and engagement. As students in flipped classroom construct knowledge actively, students' engagement is very important. Therefore, I conducted a research of flipped mathematics class to help teachers to better understand students' engagement in flipped mathematics class. The flipped mathematics class was conducted for about 3 weeks with 29 middle school students and one teacher. Video and audio recordings, completed student worksheets and interview data were collected and analyzed using the qualitative method. The results of this study showed that students' engagement is influenced by diverse factors. Engagement factors were categorized by teacher factors, community factors, material factors, tasks and strategy factors, classroom culture factors. Each factor facilitates or suppresses behavioral, emotional, cognitive, agentic engagements, and sometimes several factors are related. The results of this study increase understanding of engagement through the example of a case study on flipped mathematics class.

• The Mathematical Education
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• v.61 no.2
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• pp.359-373
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• 2022

This study aims to examine the differences in the longitudinal relationship between academic stress, mathematics self-efficacy, and engagement in mathematics class according to the math achievement level. According to the results, academic stress, math self-efficacy, and math class engagement were stable over time for the high and low groups. Also, In the high group, math self-efficacy had a negative longitudinal mediation effect in the influence of academic stress to math class engagement. Whereas, in the low group math class engagement had a positive longitudinal mediation effect in the influence of academic stress to math self-efficacy. This means that the academic stress affects differently according to the math achievement level, and mathematics teachers should reflect these results in their teaching/learning strategies so that students can increase their mathematics self-efficacy along with their engagement in mathematics classes.

• The Mathematical Education
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• v.60 no.4
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• pp.493-508
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• 2021

This study aims to examine the effects of learner-centered mathematical instruction perceived by middle school students such as discussion learning, self-directed learning, and cooperative learning on their math self-efficacy and engagement in mathematics class. Moreover, it attempts to verify if there are differences in the mean of latent variables and effect among groups divided based on achievement level. Research results are as follows. First, discussion learning did not have a direct effect on students' engagement in mathematics class, but still created an indirect effect on it through math self-efficacy. Self-directed learning and cooperative learning created a direct effect on engagement in mathematics class as well as an indirect effect through self-efficacy on mathematics. Second, high-achievement group had a higher perception of discussion learning, self-directed learning, and cooperative learning than a low-achievement group, and showed a higher level of math self-efficacy and engagement in mathematics class. Third, there were significant differences among groups, in the effect of discussion learning on self-efficacy in mathematics, effect of self-directed learning on self-efficacy in mathematics, and effect of math self-efficacy on engagement in mathematics class. Thus, this study offers meaningful implications for the role of math teachers as assistants in learning for learner-centered math classes.

• Communications of Mathematical Education
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• v.35 no.1
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• pp.37-74
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• 2021

In this study, the student participation-centered class, which takes students' mathematical thinking as an important issues of the class, is named as student thinking-based math class. The main characteristics of student thinking-based mathematics classes were examined in terms of tasks, students engagement, and the role of teachers. According to the results of analysis of class cases practiced by five secondary mathematics teachers, student thinking-based mathematics classes were conducted in the intersection of the rich mathematics tasks, students' cognitive and social engagement, and the role of teachers' formative facilitator. The results of this study showed that the student's thinking is more important than the activity itself. And it is meaningful in that it examines the influence of the dynamic interaction of the three components of the mathematics class on the direction and outcome of the class.

• Journal of the Korean School Mathematics Society
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• v.19 no.2
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• pp.153-176
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• 2016

The purpose of this study is to suggest ways to promote student engagement by analyzing how a teacher's student engagement strategies and questioning strategies affect class participation and problem solving in a peer mentoring teaching method. As for the purpose, after recording 7th grader's classroom using a peer mentoring and transcribing classroom discourse, we analyzed student engagement strategies for class participation and questioning strategies for helping mathematical concepts and problem solving, and compared mathematics achievements in mid-term and final exams. As results, in learning environments based on comfortable atmosphere, diverse student engagement strategies and appropriate questioning strategies with effectiveness of peer mentoring encouraged students to participate in class by motivating them, helped them to develop mathematical concepts and deepen understanding of problem solving through effective social interactions, and improved student achievement in mathematics. The results can practically help to develop class design considering both student engagement strategy and questioning strategy by specifically presenting a teaching method for promoting student engagement and teacher's contributions to it.

• School Mathematics
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• v.4 no.1
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• pp.79-95
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• 2002

This paper is to make strides toward an enriched understanding of student learning and performance in mathematics that acknowledges the roles social and cultural contexts play in what students learn as well as what we are able to team about student learning. A student's mathematical practice over a year and a half is presented in detail in order to explore the relationships between classroom contexts and student performance. This study was situated at a K-4 urban elementary school in the United States. The data used for this study included classroom observations, interviews with the teachers and the student, and document collection. The data were analyzed by characterizing each classroom context and exploring the student's practice both in the classrooms and in the interviews. Despite the student's ongoing status as a struggling student, there were tremendous changes in his level of engagement in and persistence with mathematical tasks. The student was substantially more engaged in and enthusiastic about the daily mathematics lessons in third grade than he had been in second. However, we found little improvement in his mathematical understanding and performance during class or in the interviews. This highlights that increased engagement in the mathematical tasks does not necessarily signal increased learning. This paper discusses several issues of learning and performance raised by the student, looking at the relationship between classroom context and student performance. This paper also considers implications for how students' performances are interpreted and how learning is assessed.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.397-415
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• 2022

The purpose of this study is to analyze the discourse structure of teachers that can help students participate in class by using mathematical metaphors that can arouse students' interest and motivation. In order to achieve this goal, we observed a semester class of a career teacher who practiced pedagogy that connects students' experiences with mathematical concepts to motivate students to learn and promote participation. Among the metaphors that the study target teachers used in a variety of mathematical concepts and problem-solving processes during the semester, we extracted the two class examples that can help develop teaching methods using metaphors. Representatively selected two classes are one class example using metaphors and, the other class example using metaphors and expanding and applying problems. As a result of analysis, the structure of teacher discourse that uses metaphors and expands and applies problems by linking students' experiences with mathematical content was found to help solve a given problem and elaborate mathematical concepts. As a result of the analysis, the discourse structure of teachers using mathematical metaphors based on communication with students could provide implications for the development of teaching methods for the recovery of mathematics education.

• School Mathematics
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• v.9 no.4
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• pp.507-521
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• 2007

The purpose of this study was to investigate the effects of memory retention of mathematical concepts in multiplication in the inquiry-based pantomime instructions. Three months later after the pre-test, a comparison was made between traditional class (TC) and class with the inquiry-based pantomime (IP) approach in terms of students retention of mathematical understandings. Results of the study indicated that the If instructions promoted effective long-term retention of knowledge. We concluded that instructional strategies that promoted active engagement in learning using life examples and drawings produced effective long-term retention of knowledge.

• School Mathematics
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• v.19 no.1
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• pp.1-18
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• 2017

In this study we analyse the features of process of problem posing and explore the development of mathematical knowledge of primary preservice teachers as result of their engagement in problem posing activity. Data was collected through the preservice teachers' class discussions. Analysis of the data shows that preservice teachers developed their ability to understand connections among mathematical concepts.

• School Mathematics
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• v.13 no.3
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• pp.385-404
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• 2011

Currently, reflective teaching has been actively studied in terms of teachers' professional development relating to classroom instruction. The present study looked at, using the method of a case study, the differences between a novice and an experienced elementary school mathematics teachers' beliefs demonstrated during their reflective teaching. The findings of the study show that at the intial stage of reflective teaching, the novice teacher identified few errors during class and was not enthusiastic about applying the results of her reflective teaching due to lack of confidence. By contrast, the experienced teacher identified more errors during class than the novice teacher and had fewer reflections due to a sense of confidence. As the teachers' engagement in reflective teaching increased with time, they both felt the need for advice from experts on mathematics teaching and directed their attention to interactions with their students away from teacher-centered instruction. Further, the novice teacher engaged in more teacher-student interactions than the experienced teacher, and the experienced teacher increased the frequency of teaching reflection. Based on the findings, the article suggests a number of implications for the cooperative reflective teaching between novice and experienced teachers and the improvement of classroom instruction.