PurposeThe authors developed a lesson study innovation for bridging pre-service teachers' experiences in an early methods course and clinical experiences focusing on the development of technological pedagogical content knowledge (TPACK). The authors analyze one planning meeting by a lesson study team comprised of four pre-service teachers and one cooperating teacher. The purpose of this research was to determine the nature of documentation during the online planning meeting and how the cooperating teacher facilitated the documentation process.Design/methodology/approachThe authors used Gueudet and Trouche's (2009) documentation framework to determine the way the lesson study team in our study used all the resources available to plan a lesson. They analyzed the video recordings of the meeting to examine the interplay between material, didactical and mathematical components during the discussions. The material components included the Teacher Desmos Activity Builder and the eTextbook. The didactical components included assessment, scaffolding, multiple representations and problem-solving activities. The mathematical components pertained to systems of linear equations and inequalities with two variables.FindingsThe authors’ findings show that the cooperating teacher performed an invariant set of actions for improving the research lesson and, also, gave recommendations about how to implement the lesson. In facilitating the planning discussions, the cooperating teacher made explicit the relationship between material, didactical and mathematical components. The authors’ work has implications for supporting the preparation of facilitators of online planning sessions during lesson study.Research limitations/implicationsThe authors did not have access to the planning meeting where the PSTs created the draft of the research lesson. In addition, they are reporting the observations of only one online meeting.Originality/valueThe authors’ work has implications for supporting the preparation of facilitators of online planning sessions during lesson study.

This study focuses on a lesson study adaptation for bridging prospective teachers' experiences in a methods course and their field experiences in a teacher education program in Puerto Rico. We ask, what opportunities for teacher learning emerge during discussions in lesson study? Two lesson study teams of secondary mathematics prospective teachers, each led by an experienced mentor, planned technology-based lessons. Using the theoretical framework for lesson study by Lewis and colleagues, we analyzed video recordings of the teams' discussions. The results show learning opportunities in the three dimensions of the framework: teachers' knowledge and beliefs, the creation of a professional community, and the development of teaching-learning artifacts. The mentors leveraged prospective teachers' knowledge, built on topics discussed in the methods course, and created a professional learning community. Three resources introduced in the methods course supported the creation of a hybrid space connecting academic and practitioner knowledge: shared language about teaching moves for using technology in math instruction, the mathematical proficiency framework, and a lesson plan template. The mentors drew upon their subject matter and pedagogical knowledge during their facilitation of lesson study. The intervention exemplifies a lesson study adaptation that is feasible in the context of a teacher education program.

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In this chapter, we describe the genesis and evolution of Realistic Mathematics Education (RME) in Puerto Rico, and analyse the aspects that allowed or deferred its influence on local mathematics education. RME was introduced in Puerto Rico thanks to a group of mathematics professors at the University of Puerto Rico, Río Piedras Campus, who collaborated, first with staff from Wisconsin University and later more closely with a team of designers from the Freudenthal Institute. This was the beginning of a collaboration that lasted several years and accounted for the design and development of quality educational materials adapted to the Puerto Rican reality. The initial goal was to develop a curriculum for the elementary level, but it soon developed into a more comprehensive project Las Matemáticas en Contexto en Puerto Rico (MeC-PR) that included training for teachers and developers, implementation efforts, and research initiatives. RME in Puerto Rico went through interconnected, and sometimes overlapping, stages of design, training, implementation, and research. All of them left their mark in different areas such as educational practices, official documents, and research practices.