Academic design pedagogy in the early stages of design is crucial and complicated. The complicated stems from the diverse aspect of architectural design. The world of values, opinions, and ideas begins the architectural design process, and junior architecture students strive to express their ideas in the language of architectural forms.…

There is growing evidence that the ability to perceive structure is essential for students' mathematical development. Looking at students' structure sense in basic numerical and patterning tasks seems promising for understanding how these tasks set the foundation for the development of later mathematical skills. Previous studies have shown how…

We discuss how research on student difficulties was used as a guide to develop, validate, and evaluate a Quantum Interactive Learning Tutorial (QuILT) to help students learn how to determine the completely symmetric bosonic or completely antisymmetric fermionic wave function and be able to compare and contrast them from the case when the particles…

Atomic-level visualizations serve as pivotal instructional tools in chemistry education, providing insights into the particulate level of matter, a dimension fundamental, yet typically invisible, in the study of chemistry. This research investigates how students' engagement with these visualizations influences their conceptual understanding of…

Sustainability action at universities is complex and requires engaging multiple competences that reside on different levels outside and inside the organisation. In addition to individual competences, social communities also possess collective resources and characteristics that do not translate into a sum of individual abilities. Based on a…

Reimagining elementary mathematics pedagogy using a three-step process--See It, Say It, Symbolize It--author Patrick L. Sullivan provides a guide for developing a dynamic and flexible understanding of numbers and operations. By helping students develop a language that is consistent across concepts and connecting it to what is seen and symbolized,…

This study examines the behavior of individuals when two intuitive rules in their minds lead to two different outcomes concerning a problem. In the absence of the formal knowledge, intuitive rules can affect the mathematical thinking. Hence, studies have usually compared the correct answer of the related formal knowledge with the incorrect one…

Prompting learners to generate examples has been proposed as an effective way of developing understanding of a new concept. However, empirical support for this approach is lacking. This article presents two empirical studies on the use of example-generation tasks in an online course in introductory university mathematics. The first study compares…

The purpose of this article is to conduct a mathematical and phenomenological comparison of three concepts: (1) the finite limit of a function at a point, (2) the finite limit of a sequence, and (3) the infinite limit of a sequence. Additionally, we aim to analyse the presence of these concepts in Spanish textbooks. The methodology employed is…

Meaningful learning for conceptual change in science education should aim to help students change their existing misconceptions to develop an accurate understanding of scientific concepts. Although collaborative argumentation is assumed to support such processes, its value for conceptual change is unclear. Moreover, the roles of argumentative…

The study set out to explore different mathematical difficulties among 877 second-grade children and to test the effect of memorization versus conceptual practices with number combinations. It used a latent profile analysis of baseline measurements of digit writing speed, number combination fluency, multidigit calculation, and number sense skills…

This article aims at examining the relationship between students' expressed notions of infinity and strategies used to compare the cardinalities of infinite sets. The notions of infinity were classified into two categorizations of potential and actual infinity, and the strategies were classified as part-whole, single infinity, incomparability and…

In mathematics education, researchers often contrast conceptual and procedural teaching approaches, although labels and conceptualizations often vary across studies. Prior research has extensively examined empirical relationships between the two teaching approaches and mathematics achievement. In our study, we aimed to extend this research by…

Through instructional tasks, teachers can present content in ways that require students to apply critical thinking, problem-solving, and other cognitive skills. The purpose of this mixed methods collective case study was to determine how teacher-assigned instructional tasks in mathematics impact students' learning of mathematical concepts. In this…

Data comparison problems are used in teaching and science education research that focuses on students' ability to compare datasets and their conceptual understanding of measurement uncertainties. However, the evaluation of students' decisions in these problems can pose a problem: e.g., students making a correct decision for the wrong reasons.…