The first year of design education is essential for students as it is their initial interaction with the design process. Awareness of the body through dance has the potential to reveal bodily experience in space. Abstraction of embodied experience contributes to realising the significance of the body and its analytical dimension for spatial and…

Efforts to increase the number of young people in England studying mathematics post-16 have historically focused on participation in standalone mathematics qualifications. However, following the recent A-level reforms, many advanced level students are engaging with some form of mathematics through the mathematical content now formally embedded…

All advanced learners deserve a content-based curriculum that will challenge them to learn more deeply and more broadly, that will enable connections to different domains of learning, and that will raise questions about the world. This article examines the reasons for educators not providing curricula to accommodate advanced learners,…

Differentiation is an instructional practice teachers employ to modify their classroom content, process, and products based on student readiness, interest, and learning profile. Many school districts recognize the benefits of differentiated instruction and thus mandate allotted classroom time for its implementation. In this paper, we investigate…

Graduates in biology or genetics learn Mendel's laws and Hardy-Weinberg equilibrium as students, and they know, use, and sometimes teach these concepts. However, it is unusual to learn about stochastic processes during the graduate studies of these topics, although the applications of Markov chains in the fields of genetics or biology are…

This dissertation deals with the perception of the aspirated coda /s/ by Spanish L2 learners. Second language research, with some exceptions, focuses on whether L1English-L2 Spanish learners can perceive the aspirated variant, showing that only advanced learners with time spent in s-weakening regions succeed at the task. L2 studies about…

This memorandum provides information on Advanced Placement (AP) and International Baccalaureate (IB) course enrollment, exam participation, and exam performance during the 2022--2023 school year. During the 2022--2023 school year, 129 AP or IB courses were offered across high schools. Among the 25 comprehensive high schools, all offered AP…

Many mathematics educators believe a goal of instruction is for students to obtain conviction and certainty in mathematical statements using the same types of evidence that mathematicians do. However, few empirical studies have examined how mathematicians use proofs to obtain conviction and certainty. We report on a study in which 16 advanced…

Complexity, accuracy, and fluency (CAF) as measures of language proficiency have been used extensively in assessing second language production in English language studies related to task-based language teaching. The present review adds the following critical elements to the existing body of literature: (i) Provides synthesis and critical analysis…

In this study we consider a classic paradox of infinity and its variations and suggest how the sources of misleading intuition can be analysed using the concept of uniform convergence of functions. We then examine how six mathematics honour students engage with a variation of the paradox. Despite their advanced mathematical training, the…

Objectives: The purpose of the study was to investigate how tutors approached second language (L2) errors when working with advanced graduate students in structured one-on-one feedback sessions. Method: The longitudinal, qualitative case study used data from immediate, retrospective tutor reflections and in-session interactions to follow two…

This paper examines the understudied phenomenon of consonant gemination in the pronunciation of English among Levantine Arabic learners of English (LA learners). The very few studies that touched on gemination among LA learners attributed gemination to spelling in the target language (English). This study challenges this analysis and demonstrates…

Differentiation is an instructional practice teachers employ to modify their classroom content, process, and products based on student readiness, interest, and learning profile. Many school districts recognize the benefits of differentiated instruction and thus mandate allotted classroom time for its implementation. In this article, we investigate…

We use the Survey of Thermodynamic Processes and First and Second Laws-Long, a research-based survey instrument with 78 items at the level of introductory physics, to investigate introductory and advanced students' difficulties with internal energy, work, and heat transfer. We present analysis of data from 12 different introductory and advanced…

The fluency of second language (L2) speech can be influenced by L2 proficiency, but also by differences in the efficiency of cognitive operations and personal speaking styles. The nature of cognitive fluency is still, however, little understood. Therefore, we studied the cognitive fluency of Finnish advanced students of English (N = 64) to…