Undergraduate students' understanding of function continuity has not been explored broadly in previous research. The relevant findings in the literature are predominantly concerned with calculus students' understanding and misconceptions of continuity. Many of these misunderstandings are tied to the relationships which continuity has with limits…

Numerous countries, including Indonesia, have integrated their cultural heritage into various aspects of society, notably in the realm of traditional textiles. With its diverse cultural landscape, Indonesia showcases detailed and comprehensive characteristics in its traditional fabrics, particularly the South Sumatra Songket. Popular cultural…

This multiple case study dissertation aimed to examine one of the domains of pedagogical content knowledge, knowledge of content and students, between different types of elementary coaches and between coach and their respective collaborating teachers. It also investigated the impact a coaches' background experiences have on the dynamic between…

Mathematics is the language and foundation for the science, engineering, and technological fields that define and enhance our lives in the 21st century. Proficiency in math requires problem solving, logical reasoning, and critical thinking skills that are essential to success in college, the workplace, and everyday life. Unfortunately, math has…

Calculus has long been known as a "gateway course" to STEM fields in postsecondary education. To moderate this gatekeeping effect, Montclair State University researchers developed a peer-led, inquiry-based instructional support (IBIS) to run parallel to Calculus classes. The design of the IBIS model was informed by an instructional…

A growing body of evidence promotes guided play as an optimal approach for supporting children's early mathematical ability (Skene et al., 2022), a skill that is essential for future learning (Duncan et al., 2007). While these experimental studies promote guided play for early mathematics (Fisher et al., 2013), classroom-based research identifies…

In a broad analysis of a large, diverse sample of students, we found robust support for the groundbreaking assertion that student learning rates in various educational technologies are "astonishingly" similar (Koedinger, Carvalho, Liu, & McLaughlin, 2023, "An astonishing regularity in student learning rate," Proceedings of…

This qualitative study examined how prospective mathematics teachers attend to, interpret, and respond to student misconceptions through providing them a video-case-based professional development environment. A sample of 30 prospective teachers attending an elective course was asked to watch video cases about student misconceptions related to the…

Language is a conduit for communicating and understanding mathematical ideas. In this article, the authors describe how literacy relates to modes of reading, writing, speaking, and listening. They then share a strategy for supporting student literacy in mathematics--judicious telling--and provide examples of what this approach looks like in the…

Misconceptions occur as a result of learners' wrong beliefs and experiences, and because subsequent learning is built on these misconceptions, they cause new concepts to be learned incorrectly. Studies show that students have problems in making sense of many mathematical concepts in mathematics teaching processes and this situation can be…

This study examined the relationship between mathematics achievement and epistemic actions. Cognitive actions that are observed as outcomes of using intellectual resources are referred to as epistemic actions in this study. We focused on four epistemic actions as follows: "selecting," "analyzing," "computing," and…

This paper presents a series of basic computational problems that are mathematically and/or graphically appealing, and provides an idea of places one might go in trying to understand what is happening, integrating mathematics, computation, and graphics. The real point of this paper is to make a case, through those examples, for computation as an…

The present study examines the structure and mathematical content of children's mathematical arguments as part of communication in play-based activities. It shows how Nordin and Boistrup's (The Journal of Mathematical Behavior 51:15-27, 2018) framework for identifying and reconstructing mathematical arguments, which includes Toulmin's model of…

Calculus education research on integration is coalescing around the theme that teaching integration based on quantitative reasoning is crucial for robust understanding of and usage of integrals. This paper contributes to this International Journal for Research in Undergraduate Education special issue on the teaching and learning of definite…

Successful word problem performance often requires understanding the linguistic relations between characters and objects. However, the keyword method promotes associating specific words with mathematical operations while neglecting the situational context. Research has thoroughly investigated the detrimental effects of individuals associating…