• Research in Mathematical Education
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• v.23 no.4
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• pp.219-233
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• 2020

Teachers' intervention in small groups is a research area that needs more research attention. Ehrenfeld and Horn (2020) identified teachers' group work monitoring routines that consist of four recurrent talk moves: 1) Initiation, 2) Entry, 3) Focus, and 4) Exit. To better understand prospective teachers' (PTs) intervention in small groups in mathematics classrooms, I investigated how PTs' intervention actions and purposes are related to the monitoring routines, particularly, in terms of Focus moves. I analyzed 26 PTs' responses to four written scenarios, each of which depicts interactions among students in a small group. I identified 1) types of PTs' math talk, 2) types of PTs' non-math talk, 3) types of intervention purposes, and 4) patterns of intervention actions and purposes by scenario. This study contributes to understanding PTs' intervention actions and purposes in mathematics instruction.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.385-415
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• 2011

To investigate the more effective mathematical communication process, a recommended teacher and a selected class as an exemplary model was analyzed with Flanders system. The mathematical communicative level was examined to measure content level using the framework analysing the mathematical communicative level(Park & Pang) based on describing levels of math-talk learning community(Hufferd-Ackles). The purposes of this paper are to describe the verbal flow pattern between teacher and students in the elementary school class for mathematically gifted students, and to propose the effective communication model of math-talk with analysis of verbal teaching behavior in the active class. In addition the whole and the parts of the exemplary class sample is respectively analysed to be used practically by elementary school teachers. The results show the active communication process with higher level presents a pattern 'Ask Question${\rightarrow}$Activity (Silence, Confusion or work)${\rightarrow}$Student-Initiated Talk${\rightarrow}$Activity (Silence, Confusion or work), and the teacher's verbal behavior promoting math communication actively is exhibited by indirect influence especially accepting or using ideas.

• Korean Journal of Child Studies
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• v.31 no.5
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• pp.63-77
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• 2010

This study was to investigate the differences of 'math talks' between concept-based storybook reading and context-based storybook reading activities. The teachers carried out storybook reading activities with their children using either four concept-based storybooks or four context-based storybooks. Fifty-six storybook reading activities from seven kindergarten classrooms were observed. The data were collected through participant observations and audio recordings. The transcriptions of 'math talks' during storybook reading activity were classified in terms of the levels of instructional conversation, types of mathematizing, and the mathematical processes involved. The results indicated that the 'math talks' during the concept-based storybook reading activity were higher than those of the context-based storybook reading activity in terms of both the instructional conversation and in quantifying and redescribing of mathematizing. However, the 'math talks' during the context-based storybook reading activity were higher than those of the concept-based storybook reading activity in connecting and reasoning of the mathematical processes involved. These findings suggest that early childhood teachers need to improve the level of instructional conversation during math storybook reading activities.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.439-460
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• 2019

In this study, we examined classroom interaction to explore the relationships among teacher questions, turn-taking patterns, and student talks in mathematics classrooms. We analyzed lessons given by three elementary teachers (two first-grade teachers and one second-grade teacher) who worked in the same school using a conversation-analytic approach. We observed individual classrooms three times in a year. The results revealed that when teachers provided open-ended questions, such as "why and how" questions and "agree and disagree" questions, and used a non-IRE pattern (teacher initiation-student response-teacher feedback; Mehan, 1979), students more actively engaged in classroom discourse by justifying their ideas and refuting others' thinking. Conversely, when teachers provided closed-ended questions, such as "what" questions, and used an IRE pattern, students tended to give short answers focusing on only one point. The findings suggested teachers should use open-ended questions and non-IRE turn-taking patterns to create an effective math-talk learning community. In addition, school administrators and mathematics educators should support teachers to acquire practical knowledge regarding this approach.

• Korean Journal of Childcare and Education
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• v.19 no.6
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• pp.79-95
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• 2023

Objective: This study examines the relationships among four-year-olds' counting skills, their use of number words, and their mothers' use of number words during mother-child free play. Specifically, we assess whether children's use of number words mediates the relationship between their counting skills and their mothers' use of number words during play. Methods: Forty-two 4-year-old children and their mothers were asked to play freely with a given set of toys at their home for 10 minutes. Children also completed a counting skill test. Frequencies of number word use were calculated for mothers and children from transcriptions of the free play. Results: Children's counting skills, the frequency of their number word use, and their mothers' frequency of number word use were positively correlated with each other. Additionally, the frequency of children's number-word use completely mediated the relationship between their counting skills and their mothers' frequency of number-word use. Conclusion/Implications: The results suggest that children's use of number language may play a crucial role in the provision of number-related language input by parents, based on their children's math skills. Practical implications of the findings are discussed.

• Communications of Mathematical Education
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• v.25 no.4
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• pp.641-651
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• 2011

In 2007, a Taiwanese mathematics historian Wann-Sheng HORNG made a visit to Kyujanggak(the royal library of Joseon Dynasty) in Seoul, Korea. During this visit, he found the Korean math book An abridged version of the Joseon Mathematics (<數學節要>, Su-Hak-Jeol-Yo), which was written by Jong-Hwa AN(9 Nov 1860 - 24 Nov 1924) in 1882. Then he mentioned the possible importance of AN's book in his article in the Journal Kyujanggak(vol. 32, June 2008). Jong-Hwa AN is a Korean scholar, activist of patriotism and enlightenment in the latter era of Joseon Dynasty. He passed the last examination of Joseon Dynasty to become a high government officer in 1894. The father of the modern mathematics education in Korea, Sang-Seol LEE(1870-1917) also passed the same examination with him. It is interesting that government high officer AN and LEE both wrote mathematics books in 19th century. In this talk, we now analyze this mathematics book of Joseon written in 1882.

• School Mathematics
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• v.17 no.2
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• pp.355-376
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• 2015

This study aims to inspect the effect of the yungbokhap education on the development of students' mathematical competence by analyzing students' mathematical discourse in math-based yungbokhap instruction designed by Moon(2014). Specifically, this research focused on the analysis of students' participation structure. The reuslts shows that the students' competence for mathematical communication and inquiry has been improved through the instruction. In particular, the students were increasingly engaged with consensual talk. Also, in the beginning stage, the students tended to unconditionally criticize for others' mathematical opinion. Through the class participation, they gradually developed the competence to express their mathematical ideas to their peers with reasonable mathematical bases. These results suggests that the mathematics-based yungbokhap instruction has positively contributed to the improvement of students' mathematical competence. Based on the results, this paper presented implications for mathematics-based yungbokhap instrcution.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.53-80
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• 2012

This study was designed to find the characteristics of mathematical errors and discourse in simultaneous equations and inequalities for migrant students from North Korea. 5 sample students participated, who attended in an alternative school for the migrant students from North Korea at the study in Seoul, Korea. A total of 8 lesson units were performed as an extra curriculum activity once a week during the 1st semester, 2011. The results indicated that students showed technical errors, encoding errors, misunderstood symbols, misinterpreted language, and misunderstood Chines characters of Koreans and the discourse levels improved from the zero level to the third level, but the scenes of the third level did not constantly happen. Nevertheless, the components of discourse, explanation & justification, were activated and as a result, evaluation & elaboration increased in ERE pattern on communication.

• Research in Mathematical Education
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• v.9 no.3 s.23
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• pp.203-231
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• 2005

Students in East Asia have consistently out-performed their counterparts in the West in recent international studies of mathematics achievement. But some studies also show that East Asian students are more rigid in thought, and lack originality and creativity. While different theories have been proposed to account for these student performances, relatively few research studies have been done on classroom practices, potentially a major variable for explaining student performances. This paper will report on the results of two classroom studies: the TIMSS 1999 Video Study and the Learners' Perspective Study (LPS). Results the quantitative analysis of the TlMSS 1999 Video Study data show that the East Asian classrooms were dominated by teacher talk, and the mathematics content learned was abstract and unrelated to the real life. On the other hand, the characteristics of the instructional practices in Hong Kong as judged by an expert panel are that student learned relatively advanced mathematics content; the components of the lessons were more coherent, and the presentation of the lessons was more fully developed. Hong Kong students seemed to be more engaged in the mathematics lessons, and the. overall quality of the lessons was judged to be high. Results of the analysis of the LPS data also show that the classrooms in the East Asian city of Seoul were in general teacher dominated, but students were usually actively engaged in the mathematics learning. Emphasis on exploration of mathematics and practicing exercises with variation was common. It is argued that the quality teaching in the East Asian classrooms laid a firm foundation in mathematics for students, and that constitutes a necessary condition for the development of students' creativity. In order to fully develop the creativity of East Asian students, they need to be given the right environment and encouragement.

• School Mathematics
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• v.15 no.3
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• pp.651-665
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• 2013

The aim of this study is to find how unformal proof activities contribute to solving problems successfully and to confirm the role of teachers in the progress. For this, we developed a task that can help students communicate actively with the concept of unformal proof activities and conducted a case lesson with 6 graders in Elementary school. The study shows that unformal proof activities contribute to constructing representations which are needed to solve math problems, setting up plans for problem-solving and finding right answers accordingly as well as verifying the appropriation of the answers. However, to get more out of it, teachers need to develop a variety of tasks that can stimulate students and also help them talk as actively as they can manage to find right answers. Furthermore, encouraging their guessing and deepening their thought with appropriate remarks and utterances are also very important part of what teachers need to have in order to get more positive effect from these activities.