This paper reports on a key representation, a triple number line, designed as part of the first author's doctoral study. The study sought ways to represent multiple constructs of fractions in the context of merging music and mathematics to support learners' understanding of fractions. A problem scenario was designed guided by Realistic Mathematics…

Comprehensive schoolwide initiatives like integrated multitiered systems of support (I-MTSS) and universal design for learning (UDL) present opportunities for large-scale impact on improving teacher instructional practices and, therefore, student outcomes. Specifically, implementing I-MTSS and UDL concurrently presents an opportunity to enhance…

Flexible learning addresses students' needs for more flexibility and autonomy in shaping their learning process, and is often realised through online technologies in a blended learning design. While higher education institutions are increasingly considering replacing classroom time and offering more blended learning, current research is limited…

Instructional designs that include two or more artifacts (digital manipulatives, tables, graphs) have shown to support students' development of reasoning about covarying quantities. However, research often neglects how this development occurs from the student point of view during the interactions with these artifacts. An analysis from this lens…

Research has shown the importance of dealing with real-life issues and of enabling student encounters with complexity in chemistry education in order to increase student participation. Therefore, this study aims to analyse how complexity evolves in students' discussions and how this complexity relates to aspects of tentativeness in chemistry. In…

Background: Zoomorphism, an obverse of conventional anthropomorphism, has been shown in many cases to be a powerful tool with respect to the metaphorical use of animals. Objectives: This study introduced zoomorphism into the instructional video design of pedagogical agents (PAs). Method: We first developed three image sets, each of which…

Although the secondary-tertiary transition has been investigated in mathematics education research with different focuses and theoretical approaches, it remains a major issue for students in the transition. With success in a science, technology, engineering, or mathematics (STEM) major at stake, we investigated a novel approach to support the…

One hundred years ago, Paul Weiss and Ludwig von Bertalanffy independently proposed that living organisms interact with their environment through systems. In the century that has followed, systems thinking and modeling have grown in tandem with discovery of the vast complexity of the universe at microscopic through astronomic levels. As our…

This case study using collaborative autoethnographic methods explores the experiences of two K12 practitioners as they implemented, and continue to implement, human performance improvement (HPI) in their professional practice. The connection between HPI and instructional design and technology is well documented, but there is not much empirical…

Why do some mathematics lessons captivate high school students and others not? This study explores this question by comparing how the content unfolds in the lessons that students rated highest with respect to their aesthetic affordances (e.g., using terms like "intriguing," "surprising") with those the same students rated…

Part of the reason many districts fail to achieve the promise of high-quality professional learning is that they operate with what the authors call a "PD mindset." This mindset manifests in sporadic, one-time events, inservice sessions, guest speakers, webinars, and workshops that are not part of a larger plan or vision. The authors…

The cultivation of computational thinking (CT) skills is a key issue in talent cultivation today. This study reported a meta-analysis of 22 empirical studies to determine the effectiveness of using educational games to improve students' CT skills and the influence of various factors in instructional design on acquiring CT skills. The results…

Designing effective learning experiences that prioritize student-centered outcomes requires a solid foundation in course design fundamentals rooted in pedagogical principles. In this workshop, participants collaborate to create a learning activity that incorporates recognition of prerequisite skills and learning outcomes aligned with both…

This article undertakes a critical appraisal of learning design and its relation to ethical ideas of care. We give an account of three personae of near future learning designers, developed using speculative methods, seeded with real-world data comprising job advertisements and validated with learning designers. The personae illustrate conflicts…

When the traditional "one size fits all" approach is used in designing educational games, the game context is usually arranged in a fixed sequence. However, the designated content may not effectively support the diversity of players. The player's ability and characteristics should be considered and supported with an appropriate learning…