• Education of Primary School Mathematics
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• v.21 no.2
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• pp.151-162
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• 2018

The purpose of this study was to investigate the effects of teacher's mathematical belief and student's mathematical performance, sex on the perception of mathematics classroom quality. And this study also detailed the relation between self-directed learning attitude and perception of mathematics classroom quality. For this purpose, this study used 'Students Perception of Mathematics Classroom Quality(SPOCQ)' as an instrument. This instrument focuses on appeal, challenge, choice, meaningfulness, self-efficacy. The 430 5th and 6th grade elementary school students were included in sample. The results obtained in this research are as follows; First, there was a significant difference in the perception of mathematics classroom quality between positive mathematical belief teacher's group and negative mathematical belief teacher's group. So, teacher's mathematical belief influence on the students' perception of mathematics classroom quality. Second, there was a significant difference according to the student's mathematical performance and sex. The students of high mathematical performance usually had positive perception of mathematics classroom quality and the male students also had higher mean than female students. Third, there was positive correlation between self-directed learning attitude and perception of mathematics classroom quality.

• Journal for History of Mathematics
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• v.26 no.1
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• pp.103-118
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• 2013

The purposes of this article are to discuss how mathematics classroom in the departmentalized classroom system can be established for effective education, and describe current efforts within departmentalized mathematics classrooms toward achieving this goal. A departmentalized mathematics classroom would be most effective in improving education if implemented after comprehensive preplan for the specificity of the subject and characteristics of students depending on their grades and levels in their unique school environment. Continued investigation for effective communication of teaching and learning methods in a mathematics classroom will be a key component to set a departmentalized mathematics classroom up and to improve the quality of education.

• Journal of Educational Research in Mathematics
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• v.11 no.2
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• pp.273-289
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• 2001

Given that the culture of the mathematics classroom has been perceived as an important topic in mathematics education research, this paper deals with the construct of sociomathematical norms which can be used as an analytical tool in understanding classroom mathematical culture. This paper first reviews the theoretical foundations of the construct such as symbolic interactionism and ethnomethodology, and describes the actual classroom contexts in which social and sociomathematical norms were originally identified. This paper then provides a critical analysis of the previous studies with regard to sociomathematical norms. Whereas such studies analyze how sociomathematical norms become constituted and stabilized in the specific classroom contexts, they tend to briefly document sociomathematical norms mainly as a precursor to the detailed analysis of classroom mathematical practice. This paper reveals that the trend stems from the following two facts. First, the construct of sociomathematical norms evolved out of a classroom teaching experiment in which Cobb and his colleagues attempted to account for students' conceptual loaming as it occurred in the social context of an inquiry mathematics classroom. Second, the researchers' main role was to design instructional devices and sequences of specific mathematical content and to support the classroom teacher to foster students' mathematical learning using those sequences Given the limitations in terms of the utility of sociomathematical norms, this paper suggests the possibility of positioning the sociomathematical norms construct as more centrally reflecting the quality of students' mathematical engagement in collective classroom processes and predicting their conceptual teaming opportunities. This notion reflects the fact that the construct of sociomathematical norms is intended to capture the essence of the mathematical microculture established in a classroom community rather than its general social structure. The notion also allows us to see a teacher as promoting sociomathematical norms to the extent that she or he attends to concordance between the social processes of the classroom, and the characteristically mathematical ways of engaging. In this way, the construct of sociomathematical norms include, but in no ways needs to be limited to, teacher's mediation of mathematics discussions.

• Research in Mathematical Education
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• v.25 no.4
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• pp.267-284
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• 2022

In response to the current educational situation of students' heavy workload, the author constructs the precision-targeted classroom based on Precision Teaching (PT), Network Pharmacology, and Treatment Based on Syndrome Differentiation. The precision-targeted classroom can solve the current problems of PT and the phenomenon of the heavy academic burden on students, achieve the reduction of the burden and increase the efficiency of education. The precision-targeted classroom includes five key points: targeted goals, childlike thinking, precise intervention, intelligent homework, and stereoscopic evaluation, and the implementation process of the precision-targeted classroom is built from three aspects: before, during and after class. In addition, the author applied it to the actual mathematics classroom to test its teaching effect, and the experimental results showed that: the precision-targeted classroom significantly improved students' academic performance and thinking level; considerably improved students' classroom learning status, and facilitated teaching personalization and realized homework quantity control and quality improvement.

• Research in Mathematical Education
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• v.14 no.4
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• pp.333-345
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• 2010

This study focuses on student engagement in Chinese middle school mathematics classrooms. By the recording and quantitative analysis on video case, this study explored the main acts and time of student engagement. The data showed that among the student engagements: (1) Students' responses to teacher's question occurred most frequently; (2) Collective responses were much more than the individual responses; (3) Students' responses and classroom practice spent the longest time; (4) The most frequent student engagements occurred in the aspects of classroom practice; and (5) Students rarely asked a question to teachers. The study also suggested that teacher's effective guidance could improve the level of student engagement and the content of classroom practice is very important to the quality of student engagement.

• School Mathematics
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• v.19 no.1
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• pp.19-41
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• 2017

The purpose of this article was to a) identify how preservice teachers conceive feedbacks and subsequent classroom discourses, and b) compare them with those in reform-oriented mathematics classroom video for mathematics teachers' professional development about classroom discourse. This article analyzes feedback patterns and subsequent classroom discourses in preservice teachers' imaginary classroom scripts (lesson plays) and compares them with those in the reform-oriented classroom video dealing with the same teaching situation. Most of the preservice teachers' feedbacks focused the evaluation of students' responses and transmission of meaning (univocal function), whereas the teacher's feedback in the reform-oriented classroom allowed the whole class to validate or challenge the answers, thereby facilitating students' generation of meaning (dialogic function). The comparison analysis between the univocal discourse in a preservice teacher's lesson play and the dialogical discourse in the reform-oriented classroom video shows that teacher feedback serves as an important indicator for the main function of classroom discourse and the levels of students' cognitive participation, and also as a variable that determines and changes them. This case study suggests that to improve the quality of classroom discourse, preservice and in-service teachers need experience of perceiving the variety of feedback patterns available in specific teaching contexts and exploring ways to balance the univocal and dialogical functioning in their feedback move during the teacher training courses.

• The Mathematical Education
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• v.55 no.4
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• pp.397-416
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• 2016

This study analyzed the quality of mathematics classes with observations using the instrument, MQI(Mathematical Quality of Instruction). Class recordings and interviews were conducted on 2 pre-service teachers and 4 in-service teachers. This study recorded and analyzed 3 or 4 classes for each mathematics teacher by using revised MQI. There were a total of 8 raters: 2 or 3 raters analyzed each class. MQI has four dimensions: Richness of the Mathematics, Working with Students and Mathematic, Errors and Imprecision, Student Participation in Meaning-Making and Reasoning. In the dimension of 'Richness of Mathematics', all teachers had good scores of 'explanations of teacher' but had lower scores of 'linking and connections', 'multiple procedures or solution methods' and 'developing mathematical generalizations.' In the dimension of 'Working with Students and Mathematics', two in-service teachers who have worked and having more experience had higher scores than others. In the dimension of 'Errors and Imprecision', all teachers had high scores. In the dimension of 'Student Participation in Meaning-Making and Reasoning', two pre-service teachers had contrast and also two in-service teachers who hadn't worked not long had contrast. Implications were deducted from finding to improving quality of mathematics classes.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.143-161
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• 2010

The purpose of this paper was to analyze the example spaces related with the concepts of triangles in the 2nd grade Korean elementary mathematics textbooks, investigate the meaning of example spaces, and suggest the implications to teaching and learning geometrical concepts in the elementary schools. Mathematics textbooks are usually major materials in teaching and learning mathematics in Korea, and the content of the textbooks affects the quality of teaching and learning in the classroom. The results of the study showed that the Korean elementary textbooks provided examples with limited example spaces concerning the concepts of triangles. The researcher suggested that we should provide rich examples spaces, encourage learner-generated example spaces, and strengthen the connections of examples between in textbooks and in the classroom.

• 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.

• Research in Mathematical Education
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• v.22 no.4
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• pp.305-318
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• 2019

To improve students' classroom engagement is not only the demand of curriculum revolution, but also the reflection of learning democracy. Students' responses and thinking are the main manifestations of students' participation in classroom learning. To reduce the amount of questions and increase the opportunities and time for students to think, this study, by employing SPSS, makes attempts to analyze the data by using multivariate GLM analysis to explore the effects of students' responses and thinking on learning results. The results indicated the students learning effect will be promoted through reducing the quantity and increasing the quality of question and adding the thinking opportunities.