Challenges and Benefits of Using Toulmin’s Argumentation Model to Assess Mathematics Lesson Study Debriefing Sessions

Author(s):  
Randall E. Groth ◽  
D. Jake Follmer
Matematika ◽  
2018 ◽  
Vol 17 (1) ◽  
Author(s):  
Didi Suhaedi ◽  
Erwin Harahap

Abstrak. Komunikasi matematis, sebagai bagian dari daya matematis, merupakan suatu kemampuan yang mesti dipelajari dan dikuasai oleh siswa dalam mempelajari materi-materi Matematika. Tumbuh kembangnya komunikasi matematis siswa sangat dipengaruhi oleh partisipasi aktif siswa secara kolaboratif dalam proses pembelajaran Matematika. Lesson study sebagai pembelajaran yang berorientasi pada siswa (student center) memberikan ruang yang cukup bagi siswa untuk mengembangkan kemampuan komunikasi matematisnya. Diskusi kelompok dan kelas dapat menjadi wahana bagi siswa untuk melakukan peer colaboration dalam mengembangkan kemampuan komunikasi matematis siswa dan menguasai materi Matematika. Artikel ini mendiskusikan tentang konstruksi kemampuan komunikasi matematis siswa melalui lesson study.Kata kunci: komunikasi matematis, lesson study Building Student’s Mathematical Communication Ability Through Lesson Study: A PerspectiveAbstract. Mathematical communication, as part of mathematical power, is an ability that must be learned and mastered by students in learning Mathematics materials. The growth of mathematical communication of students is strongly influenced by the active participation of students collaboratively in the process of learning Mathematics. Lesson study as student-oriented learning (student center) provides sufficient space for students to develop mathematical communication ability. Group and class discussions can be a vehicle for students to do peer collaboration in developing students' mathematical communication ability and mastering Mathematical material. This article discusses the construction of students' mathematical communication ability through lesson study.Keywords: mathematical communication, lesson study


2015 ◽  
Vol 4 (2) ◽  
pp. 118-139 ◽  
Author(s):  
Mohammad Reza Sarkar Arani

Purpose – The purpose of this paper is to examine an Iranian mathematics lesson through the eyes of Japanese educators, and the critiques of Iranian teachers for raising the quality of teaching. In this paper, the Japanese lesson study process is considered as an approach to raising the quality of teaching. Design/methodology/approach – Qualitative methods including pre-lesson planning, peer observation of the lesson, post-lesson discussion, and semi-structured interviews with the participants of the post-lesson discussion meetings in Iran and Japan were employed for data collection. A detailed description and analysis of the lesson is provided for deep understanding of students’ mathematical communication in the class and teachers’ points of view in the post-lesson discussions about raising the quality of teaching. Findings – The findings are intended to clarify the significant influence that cross-cultural analysis has exerted on raising the quality of teaching and developing a culture of transnational learning that supports teachers to design appropriate learning tasks, to conceptualize mathematical phenomena, and to provide mathematical communication which encourage students to participate more in classroom activities. Research limitations/implications – This study provides a transnational learning opportunity for Iranian teachers to learn from Japanese educators how to deliver evidence-based analysis of a lesson for raising the quality of teaching in practice, look culturally and differently at what actually goes on in the classroom, and localize lesson study as a global approach to the “science of improvement.” However, issues to be considered in future studies include how such “small changes” can be linked together in local communities to expand the improvement from bottom up, and how to facilitate collaboration with the global community to expand transnational learning. Practical implications – Traditionally in Iran, there are a variety of teacher training programs but there are no examples of lesson study like those that take place in Japan as a model of practitioner inquiry for raising quality of teaching. Hence, it can be said that Japanese lesson study may provide a new approach of transnational learning in the Iranian education context for building a “science of improvement.” Social implications – In the case of Iran, especially at the elementary school level, teachers do not have enough preparation or experience. Therefore, raising the quality of teaching through lesson study that has an actual impact on teacher and teaching quality and developing a “science of improvement” has become a pressing concern in national and international contexts. Originality/value – The case study shows that the transfer of the Japanese model of lesson study plays a significant role in harnessing the potential of students and teachers as well as teachers themselves by improving teaching. Efforts by teachers to communicate and learn from each other’s strengths, in fact lead to the realizing of the students potential and thinking process. In particular, it helps supply more open-end and in-depth task learning, which anticipates student thinking, understanding, recognizing and questioning.


2017 ◽  
Vol 6 (3) ◽  
pp. 249-267 ◽  
Author(s):  
Mohammad Reza Sarkar Arani ◽  
Yoshiaki Shibata ◽  
Masanobu Sakamoto ◽  
Zanaton Iksan ◽  
Aini Haziah Amirullah ◽  
...  

Purpose The purpose of this paper is to capitalize on the advantages of an evidence-based lesson analysis while proposing a method of research on teaching that offers opportunities for deeper reflections. The objective is to examine how well a transnational learning project such as this one can determine the cultural script of a mathematics lesson in Malaysia through the perspective of Japanese educators well trained in the lesson study approach. Emphasis here is on a cross-cultural analysis to view in depth the cultural script of teaching mathematics in Malaysia with particular focus on how teachers respond to students’ mistakes in a mathematics lesson. Design/methodology/approach This paper draws on data collected by the authors in a lesson study in Malaysia that aimed to provide a cross-cultural analysis of a Malaysian mathematics lesson (grade 10) through the eyes of Japanese educators. Data retrieved should determine the cultural script of a mathematics class in Malaysia with an emphasis on Malaysian teachers’ responses to students’ mistakes in class. The cross-cultural analysis of a lesson is a comparative method that reveals the hidden factors at play by increasing awareness of characteristics in classroom situations that are self-evident to all involved members. Findings The findings are intended to the cultural script of Malaysia in the context of “classroom culture regarding mistakes” and “mistake management behavior.” The impact on the quality of teaching and learning also discussed in relation to how it can be improved in practice from the following perspectives: the teacher’s attitudes toward student mistakes; how mistakes are treated and dealt with in class; and how learning from mistakes is managed. The data in Table II provide a meta-analysis of evidences of “classroom culture regarding mistakes” and “mistake management behavior” of the teacher from the Malaysian researchers and practitioners’ perspective as well as from the lens of the Japanese educators. Research limitations/implications This study realizes that both sets of research studies value the importance of mistakes. It is important to identify the source of students’ mistakes and further learn from them. In order to reveal the overall structure of the cultural script of lessons, we need to realize that various cultural scripts are at work in the production of any given lesson. In the future, the authors hope to develop the potential of this view of culture script of teaching through cross-cultural analysis for lesson study and curriculum research and development. Practical implications This study aims to capitalize on the advantages of evidence-based lesson analysis through the lesson study process while proposing a method of research on teaching that offers opportunities for deeper reflections. The objective is to examine how well a transnational learning project such as this one can determine the cultural script of a mathematics lesson in Malaysia through the perspective of Japanese educators well trained in the lesson study methodology. Social implications The authors need to obtain reflective feedback based on concrete facts, and for this reason “lesson study,” a pedagogical approach with its origins in Japan, is attracting global attention from around the world. This study focuses on the discrete nature, the progression, significance, and the context of lessons. That is, by avoiding excessive abstraction and generalization, reflection based on concrete facts and dialogue retrieved from class observations can be beneficial in the process. The mutual and transnational learning between teachers that occurs during the lesson study process can foster the building and sharing of knowledge in teaching practice. Originality/value There is currently little empirical research addressing “classroom culture regarding mistakes” which mostly represents how teachers and students learn from mistakes in the classroom. This study focuses on a cross-cultural analysis to view in depth the cultural script of teaching mathematics in Malaysia with particular focus on how teachers respond to students’ mistakes in a mathematics lesson. The following perspectives are examined: the teacher’s attitudes toward student mistakes; how mistakes are treated and dealt with in class; and how learning from mistakes is managed.


2012 ◽  
Vol 43 (5) ◽  
pp. 616-650 ◽  
Author(s):  
Aki Murata ◽  
Laura Bofferding ◽  
Bindu E. Pothen ◽  
Megan W. Taylor ◽  
Sarah Wischnia

This study investigated how elementary teachers in a mathematics lesson study made sense of student learning, teaching, and content, as related to using representations in teaching multidigit subtraction, and how changes occurred over time in their talk and practice. The lesson-study process paved a group talk path along which teacher talk shifted from superficial to deeper consideration of student learning. By providing a context in which interactions of diverse ideas drove teacher learning, lesson study facilitated teachers making connections between the craft knowledge of teaching and scholarly knowledge. Individual teacher talk paths varied within the group path, and one teacher's learning path and the interaction of different learning paths is discussed.


2021 ◽  
Vol 1764 (1) ◽  
pp. 012100
Author(s):  
N Fauziyah ◽  
S Asari ◽  
U Ma’rifah ◽  
S Uchtiawati ◽  
A Husniati

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