Despite substantial research exploring multiplicative thinking and students' difficulty in the domain, the topic of multi-digit multiplication is under-researched. In this paper, I share a learning trajectory for multi-digit multiplication that combined social and cognitive perspectives of learning. Using Design Research methods and involving 45…

Although earlier studies have documented the importance of spatial orientation skills in early childhood development, teachers often need more experience and guidance in teaching these skills. This research investigates how two kindergarten teachers, guided by two teacher education researchers, utilized Learning Trajectories (LT) in a Professional…

In this study, we explore the use of analogies with classical physics in introductory quantum physics (QP) teaching. This work is part of a larger project in which a learning sequence covering three introductory QP topics was designed, tested, and evaluated in collaboration with high school teachers and physics education researchers. Based on the…

This paper presents research that aimed to determine how teachers employed in Croatian and Serbian music schools coped with distance learning during the COVID-19 pandemic. The random sample was represented by 589 teachers working in music schools, of which 369 were from Croatia and 220 were from Serbia. The results showed that teachers from both…

Big ideas, sometimes referred to as key, core, fundamental or threshold concepts, are widely applicable concepts at the heart of disciplines that are or have been central and influential for their fields. Attention here is particularly directed to meta-concepts common to sister disciplines in the sciences. "Learning thresholds",…

We discuss the importance of bringing teaching to the forefront of instructional design. We do so by describing the process of developing an instructional sequence for early number, using design research. The instructional sequence was developed with the specific aim of supporting teaching, conceived as a complex and demanding job, not reducible…

This article explores lecturers' experience of adapting, shaping and transforming teaching and learning during the COVID-19 pandemic. The study focuses on understanding the challenges and opportunities that are afforded by pandemic-induced changes in terms of digital teaching and learning and their post-pandemic implications. Empirical data were…

This study explores how school professionals manage the challenges of educating newly arrived migrant students (NAMS), with a focus on the transition from the Language Introduction Program (LIP) to a national upper secondary school program or alternative forms of education. We draw on the theoretical framework of Inhabited Institutionalism to…

This study is a case study within a three-year-long design research study. The purposes of this study are twofold. The first purpose includes investigating whether there is a significant difference in seventh-grade students' proportional reasoning skills before and after a teaching experiment conducted in line with the perspectives of Hypothetical…

Education systems around the world have moved to develop literacy progressions that describe a sequence of development in oral language (talking and listening), reading/viewing and writing. In Australia, the National Literacy Learning Progression (ACARA, 2021) is designed to support students' literacy development across the years of primary and…

When the need of transforming and remixing music education is illuminated, fields of tensions in relation to the traditional master-apprentice model of teaching often appear. Binaries have been constructed and critiqued in research to describe tensions at various music educational levels. Some studies have also asked for a holistic,…

In this paper, we present the development of an investigation on the promotion of covariational reasoning in high school students (14-15 years old) in Mexico. The study consists of designing and applying a sequence of didactic activities that simulate a real situation virtually. The activities are organized through a Hypothetical Learning…

Learning emphasizing fractions as a part-whole concept causes several limitations in developing fraction knowledge and inhibits proportional reasoning. We use fractions as quotients as the first context introduced in our learning trajectory. We report the teaching experiment results using the improved learning trajectory on thirty 4th grade…

This study aims to design case-based learning with lesson study learning trajectory with the help of teaching aids to make students understand Prim's, Cruscal's, and Djiksra's Algorithms. The validation study was selected because it is a suitable method for this research. The research subjects were 41 Mathematics Education Study Program Students…

Learning the content of entrepreneurship arithmetic is an extension of social arithmetic that focuses on mathematical calculations in business or creative economy. Most teachers do not link students' daily activities to classroom teaching and learning on traditional markets around the environment. This significantly affects the interest in…