Early statistics in kindergarten: analysis of an educator's pedagogical content knowledge in lessons promoting informal inferential reasoning

PurposeThis study aims to describe the pedagogical content knowledge (PCK) of a kindergarten educator who implements a lesson plan about informal inferential reasoning designed in a lesson study group.Design/methodology/approachTo this end, we analyzed teaching interventions in two kindergarten lessons focused on the playful task of tossing two coins, associated with inferential statistical reasoning. The study highlights the importance of arguing and promoting this reasoning to develop statistical thinking. It is crucial to recognize how early students can be subject to learning experiences that promote a language of uncertainty, assess the evidence provided by the data, and make generalizations.FindingsThe results reveal that while the educator demonstrated knowledge and skills relevant to the curriculum and conceptual teaching strategies, the understanding of the content by the students and the integration of the PCK components still present a challenge.Practical implicationsThe lesson study collaborative teaching practices that promote PCK have proven effective for informing the design and implementation of instructional practices supporting the development of early statistical thinking in young children.Originality/valueThe study enriches the knowledge regarding the potential of the lesson study (LS) in the professional learning of kindergarten educators. It also contributes to a comprehensive approach based on authentic playful experiences in grade K that supports the development of early statistical thinking in young children.

Challenging Malawian primary teachers' views on mathematics teaching and learning through lesson study

PurposeThe aim of the study is to better understand how lesson study (LS) contributes to challenging teachers' views of mathematics teaching and learning.Design/methodology/approachThis study is part of a wider ongoing project aiming at improving primary mathematics teaching in Malawi through professional development (PD) of teachers using a LS model. The units being analyzed are teachers' written reflections and lesson plans. The analytical approach is qualitative content analysis.FindingsInitially, the participating Malawian primary teachers report traditional views of mathematics teaching and learning. After having participated in a LS cycle, they reported on the need to work on how to involve and create space for learners' participation in mathematic lessons and highlight the importance for learners to discover mathematics on their own.Research limitations/implicationsThis is a small-scale study due to LS being quite new in the Malawian context and the need to test before possible upscaling.Practical implicationsThe paper includes a description on how LS might contribute to challenging Malawian teachers' views of mathematics teaching and learning; this can be valuable information for others who are attempting to use LS in a similar context.Originality/valueThis paper fulfills an identified need to learn more about how LS might contribute to challenging teachers' views of mathematics teaching and learning worldwide.

Higher education teachers' perception and use of Content Representations in lesson study

Purpose“Content Representations” (CoRes) is an instrument that links content with aspects about its teaching and is recognized for its utility designing lessons and elucidating teachers' knowledge. Lesson study (LS) is a practice through which teachers collaborate to plan, teach and reflect on a lesson. Both have been acknowledged separately as being valuable for teachers' training; however, there is little research addressing the consequences of combining them. This study filled in that gap by examining how higher education (HE) teachers used the CoRes and perceived its integration within LS.Design/methodology/approachThe authors performed a multiple case study with features of ethnomethodology and conducted an inductive content analysis of the data gathered through document analysis, in-depth semi-structured interviews and participant observation. The research was approved by the ethics committee of the host university, and participants were faculty members from different health sciences disciplines.FindingsThe authors found that participants considered that the use of the CoRes during LS allowed them to organize their ideas, consider more details for lesson design, address new topics and engage in greater reflection. However, participants (specially senior faculty) showed a superficial dedication to filling in the CoRes and considered the instrument bothersome, urging caution when engaging in the combined practice of CoRes and LS.Originality/valueThis is the first research in the international literature approaching the integration of the CoRes and LS with HE teachers. Its results fill a research gap and can help LS practitioners make an informed decision about whether to incorporate CoRes into it.

On the development of pedagogical content knowledge through lesson study

PurposeThe objective of this editorial is to focus the author’s attention on the nature of pedagogical content knowledge (PCK) and its development through Lesson Study.Design/methodology/approachDiscussion in the editorial draws on papers in this issue, synthesized through the lens of PCK and supported by evidence from relevant literature.FindingsTeachers' engagement in lesson and learning study action research has the potential to develop their PCK in two ways: they gain insights into the ways their students experience objects of learning with reference to their own content knowledge, and they gain insights into the ways students should become able to experience objects of learning in more powerful ways identified by the teachers. The papers in the current issue elaborate on the contextual development of PCK from multiple perspectives: STEM teaching, cross-cultural lesson study, inclusive education and cultural competence through bansho.Originality/valueThe studies presented in this issue allow the readers to see PCK through different lenses.

Exploring teacher learning process in Chinese lesson study: a case of representing fractions on a number line

PurposeThis paper presented the learning process of a group of primary mathematics teachers who participated in two iterations of lesson design, enactment and reflection in a Chinese Lesson Study.Design/methodology/approachAn expansive learning theory was employed to examine the teachers’ learning process in lesson study (LS) on representing fractions on a number line. The evolution of a germ cell was utilized to feature the transformation of the object of activity from abstract to concrete through resolving contradictions among LS members. The videos of lesson planning, research lessons (RLs) and debriefing meetings were collected and analyzed to reveal the expansive learning process.FindingsThe analysis showed that the teachers expanded their learning through transforming the object from diffuse to concrete and expanded through consciously articulating the germ cell. The outcomes of object-oriented activity include improving the enacted lesson which promoted students’ conceptual understanding.Originality/valueThis study made a unique contribution to understanding the learning process of teachers in Chinese LS from the perspective of expansive learning.

Bansho as part of lesson and lesson study: from the origins to the present

PurposeThis paper aims to provide an overview of the origins of bansho, how it has developed to be an indispensable practice in Japan and its influence on countries outside Japan. The integration of bansho into lesson study (LS) will also be presented.Design/methodology/approachThis paper draws on the vast literature on bansho from both in and outside Japan to illustrate the points mentioned above.FindingsRecapitulation on the history of chalkboard and bansho in different eras in Japan illustrated its endurance towards the test of time, geographical space and functions. While bansho remains a constant presence in LS research, there has not been any work that outlines how bansho is integrated into the LS cycle. Thus, a guideline on how bansho can be incorporated in the LS cycle is provided.Originality/valueA comprehensive overview of bansho allows educators and researchers outside Japan to move beyond the know-how and know-what of bansho; it would serve as an invaluable source to understand the core concepts underlying this classroom practice, thus avoiding the mere adaptation of bansho superficial aspects. This study also provides precise instruction on how bansho can be integrated into each step of the LS cycle, which will guide teachers and researchers in the future implementation of LS.

Development of program for “Global Lesson Study” in mathematics education

PurposeThe purpose of this exploratory study was to develop Global Lesson Study (GLS) defined as an international collaborative lesson study through international exchange of teachers using ICT. Its purpose is to nurture teachers from different countries with intercultural competence to conduct lesson study.Design/methodology/approachWe developed an initial program for GLS in the subject of mathematics education between elementary school teachers in Japan and Singapore. The qualitative analysis of activities at each stage of the Pilot GLS was conducted from two perspectives: (1) intercultural competence for lesson study and (2) teacher's competency for subject instruction.FindingsThrough GLS, a new lesson was created that was only possible with discussions from teachers from different locations. It was clarified that GLS was not only useful for training teachers with intercultural competence for lesson study but also has led to the improvement of teacher's competency for subject instruction in mathematics.Originality/valueThe GLS is a new attempt in the sense of developing a high-quality lesson study method for creating new lessons as well as improving qualities and abilities of teachers through international exchange.

Digital competence of a teacher involved in the implementation of a cross-border lesson for classrooms in Brazil and Chile

PurposeThe purpose of this study was to examine the digital competence displayed by a primary school teacher who implemented an interdisciplinary cross-border lesson that was designed with the lesson study methodology and involved two countries: Brazil and Chile.Design/methodology/approachA qualitative methodology was adopted via the case study method through which the case of a sixth-grade Chilean teacher participating in the study was documented. The data were collected through a lesson plan, a videotape of the implemented lesson and a questionnaire. A professional digital competence framework for teachers provided an analytical perspective via data analysis.FindingsThe results show that the teacher displayed digital competence in a synchronous collaborative learning environment in which she had time to reflect on the educational value of technology and appropriate teaching methods involving information and communication technologies. Certain elements of the studied case contributed to this performance, namely the cross-border context, the classroom setting and the collaborative Lesson Study methodology.Practical implicationsThe lesson study methodology facilitated the teacher's performance in the “Pedagogy and didactics” digital competence by enabling her to participate in planning and implementing a lesson that allowed all those who collaborated, including teachers and researchers, to reflect on teaching in a digital learning environment.Social implicationsThe cross-border context, which involved co-designing and implementing a lesson in two countries, allowed the teacher to display her “School in society” and “Ethics” competencies. This was achieved through connecting two classrooms with different languages and cultures digitally and synchronously, thereby providing students the opportunity to debate and participate in a global and local problem such as a country's responsibility for energy consumption.Originality/valueModern society requires the transformation of school practices, and new teaching approaches should include the provision of collaborative spaces that incorporate digital technologies. In this sense, this paper shows that cross-border lessons involving a synchronous learning environment offer a potential alternative, as digital teaching competence enables teachers to bring together different social and cultural groups virtually, thereby contributing to the reduction of social gaps and to the promotion of positive identity among less advantaged students.

Lesson study as a way of improving school-day navigation for pupils with severe intellectual disability and autism

PurposeThis research explores lesson study as a way to enhance the quality of teaching for pupils with learning disabilities and autism spectrum disorder by observing changes to one pupil's (Wilma) active educational participation. The study also investigates if and in what ways the professional development impacted teaching practices.Design/methodology/approachFive teachers met with the author on four occasions. Between these meetings, the teachers delivered the lessons they had planned together. The author video recorded the meetings to discern how the teachers' expressions developed. The author shared their thoughts with another researcher to enable an interrater validity examination.FindingsThe implementation of the lesson study vehicle enabled the teachers to transform their thinking from mainly focusing on pupils' deficiencies to instead focusing on their strengths. A relationship was found between teachers' understanding of central coherence, their skills in adapting received instructions and pupils' abilities to process and contextualize information or discern the whole picture.Research limitations/implicationsResearch that involves teachers in the learning process emphasizes the relation between teachers’ thinking and their potential to enable the contextualized inclusion of pupils with learning disabilities.Originality/valueThis research offers important insights into how school-day navigation for pupils with severe intellectual disability and autism can be understood through the lens of variation theory; the teachers' repeated and adjusted use of the frame on the schedule strip enabled Wilma to discern what would happen next during the school day.

Enhancing pedagogical content knowledge for STEM teaching of teacher candidates through lesson study

PurposeThis study explores how lesson study (LS) can enhance teacher candidates' ability to develop their pedagogical content knowledge (PCK) for teaching science, technology, engineering and mathematics (STEM).Design/methodology/approachA multiple case study design was undertaken using the social-constructivist paradigm. The authors explored similarities and differences within and among four cases of teacher candidates who collaborated with a cooperating teacher and a university mentor. The data were collected from field observations, post-lesson discussions and follow-up interviews; it was then content analyzed and validated using negative case analysis.FindingsLearning from post-lesson discussions within their own LS clusters, including a teacher candidate, his/her cooperating teacher and university mentor, could help teacher candidates develop their PCK for STEM, rather than gain experience through several rounds of LS engagement. The foci of post-lesson discussions, which were discussed by each LS cluster the most, were students' context, teaching and STEM prototypes, while knowledge of instructional strategies for teaching STEM was mostly related to the previously mentioned foci. Teacher candidates' confidence in teaching STEM lessons seemed to improve when they designed and discussed the overall lessons with their LS clusters.Originality/valueThe STEM-specific LS model was proposed to support the exploration of the struggles and successes of student learning before designing the purpose of the LS and enacting its phases; the implementation of LS could be the tool for enhancing teacher candidates' PCK for STEM teaching.