This paper presents the findings from a survey used to investigate how mathematicians perceive the genre of mathematical proof writing at the undergraduate level. Mathematicians were asked whether various proof excerpts highlighted in four partial proofs were unconventional in each one of three pedagogical contexts: undergraduate mathematics…

A persistent achievement gap for English learners (ELs) has prompted educators to search for contributing factors and pedagogical solutions. Research by Bruce Torff and Audrey Figueroa Murphy shows teachers' beliefs about rigor of curriculum may contribute to the problem; teachers supported less rigorous curriculum for ELs, evincing a "rigor…

The use of visual metaphors has received growing attention in recent years, but their widespread use is not without certain challenges. The most common critique of visual metaphors in teaching indicates that they can be misleading as the meaning attributed by the recipient can be far apart from the intended one. This can make learning less…

As the popularity of short-term teacher-facilitated language study abroad (SA) programs grows, it is becoming increasingly important to understand how classroom language-teaching methods can best be adapted to meet learners' overseas needs. However, adapting one's methods places high cognitive demands on teachers who may already be overburdened…

Background: Knowledge of quantum computing is arguably inaccessible to many, with knowledge of the complex mathematics involving a particular barrier to entry, creating difficulty in terms of teaching and inclusive learning for those without a high level of mathematics. Meanwhile, it is increasingly important that the knowledge of quantum…

Listening to academic content in English medium instruction (EMI) classrooms at university can be a demanding task for students who transition from first language (L1) instructed secondary schools. This longitudinal mixed methods study analyzes data from 316 students collected at the beginning, midterm, and the end of their first semester after…

Games are often used to foster student engagement and motivation to learn content, such as mathematics. Although digital games dominate game-based learning research, the table games commonly used in classrooms warrant investigation. Especially for mathematics learning, prior research has not taken into account content-specific frameworks. Integer…

While AI has become more prevalent in our society than ever, many young learners are found holding various naive, erroneous conceptions of AI due to the influence of their technology and media environments. To address this issue, this study seeks to propose a novel pedagogical solution to improve upper-elementary school students' scientific…

In this qualitative case study, we investigated the role of an advanced math curriculum with language scaffolding on the development of geometric and visual-spatial reasoning skills in young mathematically promising English learners (MPELs). Specifically, we examined the effects of providing MPELs with challenging and supportive math curriculum to…

In quantum mechanics, probability amplitudes are complex numbers and the relative phases between the terms in superposition states have measurable effects. This article describes an investigation into sophomore- and junior-level students' reasoning patterns in relating relative phases and real-world quantum phenomena. The investigation involved…

Practice problems and worked examples are both well-established teaching techniques. Research in math and physics suggests that having students study worked examples during their first contact with new material, instead of solving practice problems, can be beneficial to their subsequent performance, possibly due to the reduced cognitive load…

The Next Generation Science Standards (NGSS) require teachers to think very carefully about the structure of lessons, which content must be taught to allow students to achieve NGSS expectations, and how content is delivered. With the standards' focus on three-dimensional learning and the use of relevant phenomena, most teachers are urged to make…

Studies comparing the instructional effectiveness of dynamic versus static visualizations have produced mixed results. In this work, we investigated whether gender imbalance in the participant samples of these studies may have contributed to the mixed results. We conducted a meta-analysis of randomized experiments in which groups of students…

Consequently, the present study sheds light on a very important aspect that is a contrastive analysis of segmental vowel phonemes of both L1 and L2. As one of the problems, that is affecting the teaching/learning process of ELT. Then to clarify the different areas between the segmental vowel phonemes of Arabic and English. It also aims at making a…

Introductory programming courses (CS1) are difficult for novices. Inspired by "Problem solving followed by instruction" and "Productive Failure" approaches, we define an original "necessity-driven" learning design. Students are put in an apparently well-known situation, but this time they miss an essential ingredient…