• Research in Mathematical Education
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• v.26 no.4
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• pp.291-310
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• 2023

In this paper, we propose a theoretical framework for Chinese high school mathematics teachers use new textbooks based on the work of Remillard (1999) and Chau (2014). Based on this framework, a multiple case approach was used to investigate how two high school mathematics teachers from Shanghai use new textbooks. The results suggest that in the curriculum mapping arena, both the novice teacher and the expert teacher often planned to appropriate the unit content, and sometimes planned to add supplemental content. When organizing the unit content, novice teacher always planned to follow the new textbook in sequence, while expert teacher often would follow the new textbook in sequence, but sometimes planned to rearrange the unit content. In the design arena, both the novice teacher and the expert teacher tended to appropriate the introduced tasks and definitions. The novice teacher often planned to appropriate the example problems and exercise problems, while the expert teacher often intended to flexibly use the example problems and exercise problems. In the construction arena, the novice teacher seldom adjusted the planned tasks; in contrast, the expert teacher adjusted the planned tasks more frequently. In the reflection arena, the novice teacher often thought she should improve the mathematics tasks, while the expert teacher almost always thought he needed to improve the mathematics tasks. The framework shown in this paper provides a tool to investigate how mathematics teachers use textbooks.

• Research in Mathematical Education
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• v.27 no.1
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• pp.1-24
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• 2024

In this paper, the author analyzed characteristics of deep mathematics learning in problem solving and problem-posing classroom teaching. Based on a simple wrong plane geometry problem, the author describes the classroom experience how one expert Chinese mathematics teacher guides students to modify geometry problems from solution to investigation, and guides the students to learn how to pose mathematics problems in inquiry-based deep learning classroom. This also demonstrates how expert mathematics teacher can effectively guide students to teach deep learning in regular classroom.

• Research in Mathematical Education
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• v.23 no.1
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• pp.13-22
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• 2020

The effectiveness of mathematics classroom teaching is directly affected by the teaching language. Comparing the teaching language of a novice teacher in algebra instruction with an expert teacher from the perspective of pragmatics, it comes to a conclusion that: both teachers attach great importance to the use of the teaching language, with the proportion of the teaching language time more than 50%; the novice teacher uses the affirmative language frequently, twice as often as the expert teacher; the declarative language the novice teacher uses in the exploration is mostly to repeat students' answer, which takes up a short time; the novice teacher uses the teaching language too much in the consolidation, which causes fewer opportunities for students to think. Then we get the following revelations: streamline the teaching language and control the time of the teaching language reasonably; make good use of the affirmative language to provide students hints and necessary time for thinking; avoid simple restatement of the student's answer and use the declarative language ingeniously to improve the feedback quality; use the teaching language appropriately to help students accumulate basic experience in mathematics activities.

• School Mathematics
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• v.18 no.4
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• pp.857-880
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• 2016

The development of teacher's professionalism through teacher education is a key element in the improvement of school education. However, there has been criticism that the mathematics teacher education in Korea do not provide given enough opportunities for the classroom experience during preservice teacher education period. For development of inservice mathematics teachers and preservice teachers' teaching professionalism, this study develops a research community for mathematics classroom consisting of experts, inservice mathematics teachers, and preservice teachers. And the study explores the possibilities of the model as an educational space for inservice teachers and preservice teachers by participating in a series of courses such as task development and revision, and observation and analysis of classes. As results, inservice teachers and preservice teachers were able to enhance the practical experience and understanding necessary for the class, and they were also positively influenced in teacher efficacy and view of teaching on the model. Based on this, we suggest the possibility of the model as a teacher education system.

• Education of Primary School Mathematics
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• v.17 no.3
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• pp.189-203
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• 2014

The purpose of this study was to analyze the strengths and weaknesses resulting from a study of elementary mathematics lessons among in-service teachers and to discuss implications for the direction of improvement of the study on elementary mathematics lessons based on teacher learning community. The results of this study showed that the study on elementary mathematics lessons based on teacher learning community improved teacher knowledge related to teaching mathematics, enhanced teacher's accomplishment and self-esteem, made it possible for participant teachers to teach one another, created atmosphere in which teachers investigated instruction via sustainable and systematic lesson study. However, some limitations were noticed such as regulations by the social norms of the teacher learning community, the influence of an expert teacher, teachers' unprofessional decision making, and lack of systematic evaluation and reflection on lessons. Based on these results, this paper closes with critical implications to enhance teacher learning community.

• School Mathematics
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• v.18 no.4
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• pp.773-791
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• 2016

Teacher noticing ability has been considered as one of important elements influencing a quality of teaching. Noticing is closely related to teachers' in the moment decision making in a class, and teachers notice things as they create and interact with their classroom setting. Mathematics teachers as an expert should notice students' mathematics learning during a class. The aim of this study was to analyze how mathematics teacher's pre-noticing activity that the teacher anticipated students' typical strategies and difficulties in learning targeted mathematics knowledge and prepared appropriate responses worked in practice. As a result, the teacher conducted three types of noticing in her classes: noticing shaping students' understanding by using students' misconceptions or errors; noticing creating students' learning opportunities based on their prior knowledge; noticing improving students' informal reasoning. This study concluded with discussion about the positive effect of teacher's pre-noticing activity on her actual noticing in practice, as well as implications for teacher education.

• The Mathematical Education
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• v.52 no.4
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• pp.465-481
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• 2013

In this study, 27 pre-service teachers presented virtual mathematics instruction to develop his/her own teaching practice ability. I found several attributes in their virtual mathematics instruction such as connecting contents, asking justification, encouraging students' communication, representing variously, and using ICT etc. These will be the characteristics of the future mathematics class. When peer pre-service teachers assess presenter's instruction quantitatively, there are differences in the results between expert and pre-service teachers. Pre-service teachers didn't find the elements of student self assessment or group assessment and communication activities at the virtual instruction. When they assess peers' virtual instruction qualitatively, the results are specific or new ones compared with the quantitative assessment elements. Thus I suggested some implications for the mathematics pre-service teachers' virtual instruction in the view of teacher education.

• Research in Mathematical Education
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• v.15 no.3
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• pp.251-259
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• 2011

Metaphor is the main representations of teachers' practical knowledge, which can help students to understand mathematics better. Through the recording and quantitative analysis of video cases of expert teachers in mathematics classroom, there are some results after analysis: 1) Teachers use many metaphors in the classroom and most of that are structural-ontological metaphors, which takes a certain period of time. 2) Teachers use the metaphors mainly in the teaching process of introduce and explore by the form of question-answer. 3) During the process of concept teaching, the metaphors from the real-world examples can promote the students have more motivation to study. During the process of procedure teaching, the metaphors from similar materials can promote the students to understand the operational skill better.

• Journal of the Korean School Mathematics Society
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• v.26 no.2
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• pp.159-184
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• 2023

In this study, after defining motivating efficacy operationally, we developed a draft of the Motivating Efficacy Scale for Mathematics Teachers (MESMT), a measure of mathematics teachers' motivating efficacy, through the literature review and an expert Delphi survey, and conducted the exploratory factor analysis using online survey responses from 347 elementary and secondary mathematics teachers across the country to explore the factor structure of the measure and to test its validity and reliability. The exploratory factor analysis resulted in the deletion of 17 items from the initial 42 items developed through the literature review and expert Delphi survey and the identification of four factors (Providing successful experiences, Eliciting attention and engagement, Creating mathematics case-based relevance, and Providing extrinsic rewards), resulting in a final MESMT of 25 items. The MESMT developed in this study is a valid and reliable measure of mathematics teachers' motivating efficacy, and is expected to serve as a starting point for many subsequent studies to understand mathematics teachers' motivating efficacy and improve mathematics teachers' ability to motivate students' mathematics learning.

• 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.