This study investigates the characteristics of Japanese primary school mathematics lessons that adopt a problem-solving approach. We argue that these characteristics are reflected in three key aspects: collective teaching and learning, the lesson as a "drama" (i.e., its structured flow), and the focus on mathematical knowledge. In this…

This action research aims to develop the ability to solve mathematical problems, particularly in polygons, through open-approach learning management for sixth-grade students, with the goal of achieving an average score exceeding 70% of the total possible score. The target group consisted of eight students in the second semester of the academic…

This study introduces a framework for analyzing opportunities for mathematical reasoning (MR) in school mathematics, using MR-relevant claims and their derivation as the unit of analysis. We contend that this approach can effectively capture a broad range of opportunities for MR across various teaching situations. The framework, rooted in…

The article presents a 5E environmental science lesson to help students understand the major environmental factors that lead to acid rain. Students are supported to ask scientific questions to solve the mystery of how acid rain might impact historical buildings. This lesson can be used in a variety of settings both in person and online modalities.…

Worldwide interest in Lesson Study (LS) and the opportunities offered for student learning through the use of a Structured Problem-Solving Approach (SPSA), as typically adopted in Japanese LS research lessons in mathematics, have left largely unanswered questions about the extent to which these can be replicated elsewhere. This paper presents a…

In this article, the authors explore how the 3C Model can be used to integrate other curriculum areas with mathematics, namely digital technologies. To illustrate the model, they provide a practical example of a teaching sequence. T he 3C Model is designed to create opportunities for applying reasoning and problem-solving skills and learning…

This study investigated the noticing of teachers who teach mathematics at different grade levels in the context of lesson study. The study specifically focused on teachers' noticing during the planning phase of the lesson. For this, the lesson planning phase of a group of four teachers consisting of kindergarten and primary school 1st grade…

In this paper, we analyse a grade 8 (age 13-14) Japanese problem-solving lesson involving angles associated with parallel lines, taught by a highly regarded, expert Japanese mathematics teacher. The focus of our observation was on how the teacher used carefully planned board work to support a rich and extensive plenary discussion (neriage) in…

Technology can play a pivotal role in mathematics education. Qualitative methods were used to report on how a Year 1-2 teacher incorporated "Conveyance technology" (iPads), to support the teaching and learning of mathematics through student reasoning and problem-solving. The study was conducted in Australia. A single case was chosen,…

The phenomenon of teachers designing their own instructional materials is gaining more attention in research. Different aspects of this enterprise have been examined--its potential to reveal the complexity of teachers' instructional planning considerations, the design principles employed by teachers to realise instructional goals, among others. In…

This study investigated how 155 pre-service teachers solved three pattern generalization problems in a two-part written test and sequenced them for teaching purposes to demonstrate their curricular noticing. Participants' solutions were analyzed using inductive content analysis, which showed that only 8.4% of PSTs produced correct answers to all…

Access to drinking water is becoming more limited as drought persists across continents. This article highlights a particularly impacted group of students due to increasing drought conditions and upstream river pollution near their reservation. While there are related water and modeling standards across the K-12 Next Generation Science Standards…

This study aimed to design, implement, and evaluate the feasibility of an activity titled "Space Adventure for Little Explorers", integrating the engineering and entrepreneurship design model within the STEM education framework into preschool education. The activity was structured in four stages: (1) Discovery with the Family, (2)…

Background and Context: Various coding initiatives and materials exist such as those on Code.org site to promote students' computational thinking (CT). However, little is known as to: (a) whether such materials, in fact, promote CT and (b) how CT skills are related to each other. Objective: As a preliminary step to identify CT skills addressed in…

In this research study, an instructional intervention protocol is described. This intervention was designed to help teachers to engage English Learner students (ELs) in mathematical problem-solving lessons and reasoning through discourse. The "Discursive Mathematics Protocol" (DMP) integrates Polya's classic problem-solving framework and…