The design of algorithms is one of the hardest topics of high school computer science. This is mainly due to the universality of algorithms as solution methods that guarantee the calculation of a correct solution for all potentially infinitely many instances of an algorithmic problem. The goal of this paper is to present a comprehensible and…

This study explores and analyzes the specific performance of large language models (LLMs) in instructional design, aiming to unveil their potential strengths and possible weaknesses. Recently, the influence of LLMs has gradually increased in multiple fields, yet exploratory research on their application in education remains relatively scarce. In…

The purpose of this qualitative study was to examine the use of ChatGPT as a lesson-planning assistant with preservice teachers (PSTs) of secondary mathematics. PSTs asked ChatGPT to solve a mathematics problem and to assist with lesson planning in a microteaching context in a methods course. The PSTs first developed parts of their microteaching…

The aim of this study is to develop a descriptive framework for teacher educators to assist teachers to plan and realize modelling implementations in their classrooms and for researchers to describe and analyse how modelling is implemented. The planning process and implementations of 12 middle and high school mathematics teachers who conducted…

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…

Every year, an increasing number of autistic youth enter a complex and underfunded adult service system after graduating from high school. Executive function (EF) challenges commonly co-occur with autism, especially related to flexible problem-solving and planning, and are linked to poor outcomes in post-secondary education and employment. The…

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…

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…

This study explores secondary mathematics teachers' attention to the three components of Jaworski's (1992) "teaching triad" (i.e., "mathematical challenge," "learning management," and "sensitivity to students") as they planned a lesson revolving around a rich mathematics problem and assessed pre-designed…

We use a narrative framework to investigate how mathematics textbook lessons can promote sustained student inquiry. Our analysis of four high school textbook lessons on the SSA congruence property, three of which contain explorations, reveals how explorations can promote problem-solving perseverance by inspiring readers to raise mathematical…

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…

We present a detailed analysis of two statistics lessons in lower secondary school, one in Denmark and the other in Japan. The aim of the study is to better understand how inquiry perspectives are implemented in statistics education and what cultural factors shape them. In particular, we draw on the theoretical framework of the Anthropological…

This exploratory, embedded single study examined the experiences of middle grades teacher design teams over 10 months as they were immersed in the development of interdisciplinary curriculum units using a backward design framework. The teachers were supported by a researcher-practitioner partnership and situated in a middle level school structure…

Like terms are usually defined for variables with numerical coefficients. While the definition is sufficient to combine polynomial terms, it does not help the students to combine radical, logarithmic, or trigonometric terms. The purpose of this paper is to propose a lesson that introduces a broader definition of like terms and trialed with a group…