This report details a set of three tasks used in an exploratory study of pre-service teachers' (PSTs) experiences of task design for the mathematics classroom. The three tasks, which I call the "Orange Dot Tasks," were constructed in Desmos, a dynamic geometry environment (DGE), and participants engaged each task through manipulating…

Teachers often repeat language learning tasks and materials with students year after year. Although some tasks do not render satisfactory outcomes, students' performances can serve as valuable historical autoethnographic data that teachers can reflect on to improve their teaching materials and language learning tasks. In this article, using…

This mixed-methods case study investigates learner engagement during pair work, focusing on four key aspects--behavioral, cognitive, emotional, and social engagement--and how these relate to task performance. The study included 60 university students (34 females, 26 males) learning English as a second language, who collaborated in pairs on a…

This qualitative study aimed to identify the changes in a prospective' conceptions about the nature of mathematical tasks and pedagogy in video cases and to investigate the characteristics of the prospective' professional knowledge and views during task design/modification. The study used the mathematical task demand engagement process, which…

Within the commognitive perspective, ritual and explorative routines are used in a very particular way to distinguish students' routines according to whether they are driven by social reward or by generating a substantiated narrative. Explorative routines in this theorisation may refer not to inquiry-based activity but to the result of a student's…

This article reports on an empirical study that investigates the way students' performance in solving arithmetical tasks may be related to their performance in solving algebraic tasks. The sample consisted of 203 Grade 6 students. The arithmetical tasks involved arithmetical expressions with known quantities, whereas the algebraic tasks involved…

At the beginning of the 21st century, "number sense" was listed as one of the core words in the mathematics curriculum of compulsory education in China, and it has now become one of the core competencies of primary school mathematics. It is necessary to determine the development of number sense of first-grade primary school students (6-7…

Representations in chemistry are the tools by which students, instructors, and chemists reason with chemical concepts that are abstract. Although representations are regularly used within the chemistry classroom, there is more to uncover regarding the ways students interact with representations when given chemistry tasks. This study aimed to…

Individuals who are privileged are often unaware of the unearned advantages that they have. Because of this lack of awareness, individuals with privilege may attribute poor performance of a non-privileged individual to that individual's lack of effort or ability, rather than recognizing that the non-privileged person may not have had sufficient…

This study draws on a research project where a model of fiction-based ethics education was developed and put into practice during a school year in five classes in compulsory school, two in grade 5 and three in grade 8. A test was constructed with the purpose of evaluating a multi-dimensional ethical competence. The test was given at the beginning…

Tasks used in the Biology Olympiad (BiO) appear to be promising alternatives to traditional teaching tasks in biology education, as they frequently incorporate inquiry-based elements. This makes them a valuable resource for increasing students' exposure to inquiry activities during classroom instruction. However, for teachers to effectively…

The conception of functions, defined as the relationship between magnitudes or sets of ordered pairs, varies among students depending on the contextualization of the concept within the curriculum, notably in school textbooks. This investigation endeavors to scrutinize the approach taken by Indonesian textbooks in introducing the function concept…

Contribution: Although a limited number of studies have compared textbooks used in introductory science courses (ISCs) and technical engineering courses (TECs), such a study has not been conducted regarding the Laplace transform (LT). The LT is one of the important topics that electrical engineering students learn as part of their undergraduate…

The present study seeks to explore the mathematical connections that 13-14-year-old secondary school students establish when solving area tasks. Emphasis is placed on different mathematical objects, and the connections between them, that allow students to successfully solve the tasks. The study follows a mixed methodology using qualitative and…

The authors wondered if there was a way to support their reluctant Grades 4, 5, and 6 students in contributing their starting points and strategies and advancing their collective knowledge. They wanted to ensure that the students had the space to develop and take ownership of the strategies they produced through a visual representation of ideas…