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 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…

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…

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…

Despite national curricula and instructional reforms calling for collaborative problem-solving skills (CPS), however, there is an absence of a theory-laden model showing how to effectively construct CPS for science learning. We therefore developed and validated a simulation-based CPS model that exploits its constructs, sequences, and causal…

A Common Core expectation of high school mathematics students is to analyze functions using different representations. One type of function to be analyzed is piecewise-defined functions. The author has found most approaches to the study of piecewise functions to be abstract, disconnected from any context, and difficult for students to understand.…

The National Council of Teachers of Mathematics (NCTM, 2014) highlights that effective teaching practices promote students' reasoning and sense making through various problem-solving strategies. Rather than telling students what to do and how to solve problems, teachers are expected to engage learners in accessible real-life problem situations…

Measuring teachers' skills and competencies is necessary to ensure teacher quality and contribute to education quality. Research has shown teachers competencies and skills influence students' performances. Previous studies explored teachers' knowledge through testing. Teachers' knowledge of the topic of area-perimeter and teaching strategies has…

The popularization of the STEM educational model has also brought along the need for well-trained teachers. In this model, it is aimed to understand examples in real world and solve related problems. Of course, this depends on the development of critical thinking, creative thinking, researching and experimental skills. For these reasons, the…

In this article, we are interested in three things: an effective methodology for implementing critical dialogic pedagogy (CDP) in English First Additional Language (FAL) poetry in a South African classroom, the forms that dialogue can take in the English FAL poetry classroom, and the effect of CDP on adolescent learners' identity development.…

When mathematics teachers plan lessons, they interact with curriculum materials in various ways. In this paper, we draw on Brown's (2009) "Design Capacity for Enactment" framework to explore the practice of "adapting" curriculum materials in the case of a Singapore secondary mathematics teacher. Problems from the textbook used…

Social connections are crucial for today's middle and high school students. We address this social need through a 3-H Social and Emotional Learning (SEL) Cycle. Through the Three Sisters Garden activity presented here, we teach secondary school students about biodiversity and sustainability as we integrate the arts into STEM (STEAM). Students…