Optimization is a vital mathematical concept widely applied in various engineering fields. However, teaching this subject to engineering students often involves abstract materials, making it challenging for them to grasp. To address this issue, a group of five mathematics lecturers collaborated on designing a practical lesson on optimization for…

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…

The decisions that teachers make in transforming the curriculum into specific lesson plans determine the real enactment or otherwise of curricular ideals. These decisions are shaped by the resources available and by each teacher's goals and orientations. This exploratory study employs Schoenfeld's decision-making model to examine how resources,…

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…

Purpose: This study aims to develop a self-reflection scale useful for teachers to improve their skills and to clarify the Japanese teachers' characteristics during mathematics lesson observation (MLO). In MLO, it is important to understand the lesson plan in advance to clarify observation points, and we aim to develop a scale including these…

A variety of factors are associated with the learning difficulty in mathematics in the context of Pakistani schools. This study explored the different causes of learning difficulties in mathematics faced by primary school students in Karachi, Pakistan. Using a quantitative research design, the data was gathered from the parents and teachers of…

The ITEEA's Council for Technology and Engineering Teacher Education (CTETE) Curriculum Committee solicited, collected, and analyzed several examples of international lesson plans to find out how various countries understand and/or apply the "Standards for Technological and Engineering Literacy: The Role of Technology and Engineering in STEM…

Coordinate geometry is an important part of mathematics. It helps students develop thinking, logic, and problem-solving skills. This study was conducted to test the effectiveness of the CORE learning model in promoting students' mathematical problem-solving skills when they learn the method of coordinates in a plane. Consequently, this study used…

In each educational curriculum, trigonometry is an important subject at upper secondary schools and pre university level that apply in many other subjects such as algebra, calculus, geometry and physics. Many of students have serious problem in learning the trigonometric materials because usually mathematics educators transfer the trigonometric…

In the face of the global sustainability crisis, schools and teachers are called on to transform education and implement educational innovations to strengthen sustainability education. One of these innovations is 'open schooling': educational practices that involve students in identifying, exploring, and tackling real-world sustainability problems…

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…

The study explores implementing a didactical design approach in elementary school students learning mathematical concepts such as factors and multiples. This research was conducted over four meetings at one of the elementary schools in Bantul Regency, Yogyakarta, Indonesia. The research subjects consisted of one class teacher and seventeen…

This study explores the application of Vygotsky's zone of proximal development in pre-service teacher training by investigating the effectiveness of ZPTD in lesson plan design. A qualitative research approach has been utilized to gather and analyze both versions of a lesson plan designed by a pre-service teacher (the researcher). The revised…

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…