In this study, we present a mathematical analysis distinguishing two conceptions of equivalence: "proportional equivalence" and "unit equivalence." These two conceptions have distinct meanings in relation to equivalent fractions: one is grounded in proportionality, while the other is grounded in equal wholes. We argue that (a)…

In the property listing task (PLT), participants are asked to list properties for a concept (e.g., for the concept "dog," "barks," and "is a pet" may be produced). In conceptual property norming (CPNs) studies, participants are asked to list properties for large sets of concepts. Here, we use a mathematical model of…

Terrorism provides a unique context for examining innovation, as the generation of novel, effective, and complex ideas are essential for survival in destructive and malevolent groups. Despite this, innovation remains an underdeveloped concept in terrorism research, at least from the creativity scholars. One reason for this is the limited empirical…

When learning about scientific phenomena, students are expected to "mechanistically" explain how underlying interactions produce the observable phenomenon and "conceptually" connect the observed phenomenon to canonical scientific knowledge. This paper investigates how the integration of the complementary processes of designing…

Purpose: The purpose of this research is to analyse the level of knowledge about the Sustainable Development Goals (SDGs) of pre-service teachers in Early Childhood and Primary School Education at the University of Valencia (Spain) and the origin of this knowledge over several academic years, as well as to compare it with that of students of the…

This study investigates the impact of constructivist teaching methods on achievement and misconceptions in mechanics, with a focus on gender differences. The research involved 88 first-year physics students enrolled in the physics teacher training program. Using a quasi-experimental design, students were divided into experimental (constructivist…

The paper deals with the issue of critical areas in the philosophy as part of the subject Basics of Social Sciences in the Czech Republic from the perspective of teachers. The critical areas are components of the curriculum that are difficult, challenging and problematic for educational practice. They can be on the side of both teachers and…

Contribution: An innovative approach utilizing interactive software paired with stereoscopic projection hardware is introduced to enhance the teaching and learning of solid-state physics. This method is distinctive for its integration of complex 3-D visualizations directly into classroom instruction, facilitating a deeper understanding of abstract…

Background: The study explored how concept cartoons can be used as a teaching tool to improve Grade 4 learners' understanding of scientific terminology. The background highlights the importance of effective teaching tools in the changing educational environment, particularly in Natural Sciences education. Objectives: The purpose of the study was…

Competence with rational numbers is essential for mathematics proficiency in secondary mathematics. However, many students struggle with rational number concepts, and students with mathematics difficulties struggle even more. The purpose of this study was to examine the effects of an intervention that incorporated the use of explicit instruction…

Virtual tools are rapidly supplementing physical tools in classrooms. Although extensive research has compared the benefits of using virtual and physical manipulatives, few studies have systematically explored the learning benefits of using a physical and a virtual tool. As the major learning goal in science, technology, engineering, and…

Online discussion based on the community of inquiry (CoI) framework has received considerable popularity due to its potential benefits for enhancing problem-solving skills and achieving deep understanding in the long term. However, it is challenging to make learners actively conduct a discussion using typical environments (e.g., asynchronous…

Early understanding of base-10 concept has been shown to be associated with superior mathematical achievement among East Asian children. In addition to their base-10 structured number system, teacher support in kindergarten is also crucial to children's development of this complex mathematical concept. Therefore, this study examined how Japanese…

Background: Blended mathematical sensemaking in science ("MSS") involves deep conceptual understanding of quantitative relationships describing scientific phenomena. Previously we developed the cognitive framework describing proficiency in MSS across STEM disciplines, and specifically Physical Science. The framework was validated with…

Background/purpose: This study aimed to measure the level of scientific concepts acquisition among basic-stage students in light of their teachers' use of artificial intelligence (AI) applications. Materials/methods: A scientific concepts acquisition test was developed to collect data. The study sample consisted of 396 tenth-grade students,…