Mathematical writing in school is difficult to teach. Reasons include that it is a domain in which there are rules for some parts of the writing like for example mathematical notation while others must be negotiated locally in the classroom. Writing is also seldom separated from the process of solving mathematical problems, creating a situation…

There is a mismatch between established practice in Learning Design and the increasingly complex nature of the challenges the world is facing. This article connects Learning Design to complexity science so learners can be better equipped to create a thriving future. Learning Design methods have traditionally leant heavily upon the reduction of…

Early interventionists may frequently encounter ethical dilemmas due to the complex nature of early intervention (EI) service delivery (e.g., EI system infrastructure and building and sustaining collaborative relationships within the system). Therefore, the purpose of this research study was to explore the experiences of EI professionals related…

The discipline of film studies often engages in analyses of the functions of filmmakers' decisions in terms of their effects on viewers. Behavior analysis uses a similar, functional-analytic approach toward understanding the relationship between individuals' behavior and the environmental effects that maintain their behavior. Given converging…

Teaching and learning Calculus concepts and procedures, particularly the definite integral concept, is a challenge for teachers and students in their academic careers. In this research, we supplement the analysis made by different authors, applying the theoretical and methodological tools of the Onto-Semiotic Approach to mathematical knowledge and…

Purpose: The purpose of this paper is to revisit previous design principles and guidelines for online makerspaces in public libraries (Kim et al., 2020) and expand the design principles with more updated implications and examples from the literature published during and after the COVID-19 pandemic. Design/methodology/approach: The authors reviewed…

Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…

This qualitative research study uses middle-grades students' numerical reasoning to model their symbolic representations of the relationship between two multiplicatively related unknowns on an algebra task. Students in sixth grade through ninth grade participated in clinical interviews that assessed their numerical reasoning using the Number…

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…

In the human-to-human Collaborative Problem Solving (CPS) test, students' problem-solving process reflects the interdependency among partners. The high interdependency in CPS makes it very sensitive to group composition. For example, the group outcome might be driven by a highly competent group member, so it does not reflect all the individual…

This study aimed to analyze second-semester organic chemistry students' problem-solving strategies, specifically focusing on the resources activated while solving problems on E2, E1, and E1cB elimination reactions. Using the theoretical framework by Elby and Hammer, we defined a resource as a unit of information used in the problem-solving…

Whereas hackathons are widespread within and outside academia and have been argued to be a valid pedagogical method for teaching interdisciplinarity, no detailed frameworks or methods are available for conceptualizing and organizing educational hackathons, i.e., hackathons dedicated to best achieving pedagogic objectives. This paper is dedicated…

This article elucidates a nuanced methodology to embed the Sustainable Development Goals (SDGs) within engineering curricula, grounded in the tenets of the CDIO Standard 3 framework. Given the heightened emphasis on sustainability within contemporary industrial contexts, there is an imperative demand for engineers endowed with sophisticated…

Purpose: The purpose of this paper is to review and provide propositions about survey assessment tools of the key sustainability competencies (KSCs) of education for sustainability. UNESCO points out how education plays an important role in transforming societies towards a sustainable future and achieving the United Nations' sustainable…

In research on mathematical problem posing, a broad spectrum of different situations is used to induce the activity of posing problems. This review aims at characterizing these so-called problem-posing situations by conducting three consecutive analyses: (1) By analyzing the openness of potential problem-posing situations, the concept of…