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 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…

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…

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…

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…

In response to increasing teacher interest in how to design and implement effective challenging tasks, James presents the Launch/Explore/Discuss model that builds on the work of leading Australian educators and researchers Peter Sullivan, Doug Clarke, and Charles Lovitt.

Coding, which is among the 21st century skills, has been included in the curriculum of many countries in recent years from preschool to high school. Primary school teachers are very important in the teaching of coding. In this context, this study aims to reveal the coding education that primary school students receive and the contribution of this…

This paper dealt with the design of learning tools, that was the development of learning implementation plan or Rencana Pelaksanaan Pembelajaran (RPP) based on Fun and Easy Math (FEM) approach in the form of a number line model. FEM was an approach in order to teach mathematics effectively to students in a fun and easy way according to the…

When gestures occur with speech during math instruction, learning outcomes improve, indicating that gesture has the potential to mitigate educational inequities. One population that could benefit from an instructional tool like gesture is English Language Learners (ELLs). To increase our understanding of gesture's potential benefits for math…

The authors describe a mathematics lesson designed to allow students to use their own thinking to solve elapsed time problems. Their approach emphasises student-centered structured inquiry, and follows a 'Launch, Explore and Summarise' format.

In this article, the authors emphasise the importance of purposeful mathematical discussion and using sequences of connected, cumulative, and challenging tasks in advancing students' spatial reasoning in the early years of schooling.

This paper describes how fifth-grade English Learner students (ELs) in an urban school district develop the mathematics register during a problem-solving lesson. It provides examples of students' work to illustrate how they use the mathematics register to communicate their mathematical ideas orally and in writing. The teacher implemented teaching…

Differentiating instruction can be difficult, however, when higher performing students yearn to be stretched and lower performing students benefit from scaffolded support. One way to meet these students' learning needs and everyone in-between is to embrace the notion of novel exploration in support of critical school mathematics concepts. Novelty…