This study aimed to determine which type of information source--providing either mathematical or relative data--children aged 5-11 would prefer. Additionally, the study examined how children justified their choices and whether differences existed in their justifications. A total of 837 children participated in the study. The children watched…

Manipulative-based instructional sequences have proven to be successful with students with disabilities. However, instruction must not only support the acquisition of conceptual and procedural knowledge but also build on students' strengths. This article describes how teachers can use manipulative-based instructional sequences to support the…

This dissertation investigates how early career teachers' orientations of students and their mathematical activity, as surfaced their experience in a simulation, can reveal when their well-intentioned decisions might negatively impact traditionally underserved students. Three early career teachers engaged in two online simulations where they could…

In recent years, a multitude of innovative educational videos focusing on mathematics and employing dynamic visualization techniques have been published on YouTube. From a sample of videos, we develop a taxonomy of didactical roles of dynamic visuals and supporting animation techniques. The taxonomy is constructed through an open coding approach,…

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…

Project Based Learning (PjBL) has emerged as a promising approach in mathematics education. This study aims to analyze the implementation of project-based learning (PjBL) internationally in mathematics education and to identify the underlying learning theories, such as the method of writing an article through SLR. A systematic literature review…

Planning lessons and in-the-moment improvising during enactment of the plan are two central activities inherent to the practice of teaching. To what extent are these pursuits conflicting or inconsistent? What are the characteristics of improvisation during teaching and what are teachers' possible stances on it? We discuss these questions based on…

This study examined "backward transfer," which we define as how students' ways of reasoning about previously encountered concepts are modified when learning about new concepts. We examined the backward transfer produced when students learned about quadratic functions. We were specifically interested in how backward transfer may vary for…

One of the most important goals in a statistics class is to develop students who are statistically literate and can reason with statistical concepts. The REALI instrument was designed to concurrently assess statistical literacy and reasoning in introductory statistics students. This paper reports a measurement analysis of the statistical literacy…

Research on geometric transformations suggests that early learners possess intuitive understandings grounded in motion metaphors, transitioning to mappings. The processes through which students transition between these two conceptions are not fully understood. We propose that Vygotskian hybridizing (related to Vygotsky's articulation of everyday…

In the evolving landscape of financial literacy in education, this study aims to describe methodologies used in mathematics and special education research, specifically targeting individuals with intellectual and developmental disabilities (IDD). Based on a systematic review of research studies that addressed financial literacy for students with…

This study, using a scriptwriting task, examines how 52 Czech pre-service mathematics teachers (PMTs) handled a situation in which a fictional pupil's incorrect reasoning resulted in a correct answer. The participants were asked to imagine and provide a script that reflects how the situation could evolve in response to the pupil's incorrect…

This paper employs Cultural Historical Activity Theory (CHAT) as an analytical heuristic in exploring the internationally prevalent situation of teaching out-of-field. Drawing on interview transcripts, we use CHAT to frame the activity of a young teacher teaching mathematics out-of-field in a small rural K-12 school in Australia. We identify and…

Unaddressed social, emotional, and behavioral (SEB) needs and academic challenges may lead to negative youth outcomes. Universal behavioral risk screeners, like the student self-report Social, Academic, and Emotional Behavior Risk Screener (SAEBRS-SRS), identify at-risk students. To improve screening tool use, research is needed to identify the…

Generative artificial intelligence (AI)-powered conversation agents such as ChatGPT are increasingly being used in teacher education. Although ChatGPT can provide ample resources for lesson planning, little attention has been paid to how teacher candidates construct prompts and evaluate AI-generated outputs in real time to develop lesson plans.…