Proof comprehension is an important skill for students to develop in their proof-based courses, yet students are rarely afforded opportunities to develop this skill. In this paper, we describe two implementations of an activity structure that was developed to give students the opportunity to engage with complex proofs and to develop their proof…

This article presents several activities suitable for a transition to proofs course. In addition, this article surveys literature in support of active learning in the transition to proofs course and discusses how these activities have been successfully implemented in one such course.

Museums operate and communicate ethically, professionally, and with the participation of their constituents, offering varied experiences for edutaintment and knowledge sharing. Today's museums ensure relevance in national and universal development by considering, first and foremost, educational functions. Museums work in harmony with people in…

There is increasing interest in computer science and computing bachelor programs due to the growing importance of technology in the globalized world. Thus, as higher education institutions strive to serve a diverse student demographic, it is salient to gauge their programming abilities to improve guidance on learning processes regarding their…

The Survey of Attitudes Toward Statistics (SATS) is a widely used family of instruments for measuring attitude constructs in statistics education. Since the development of the SATS instruments, there has been an evolution in the understanding of validity in the field of educational measurement emphasizing validation as an on-going process. While a…

Social realist theorising about curriculum and social justice in higher education has emphasised the importance of providing equity of epistemic access to powerful knowledge. However, there has been little discussion about what constitutes powerful knowledge and how students can use it for social good. In the science disciplines, the traditional…

Many mathematics departments have transition to proof (TTP) courses, which prepare undergraduate students for proof-oriented mathematics. Here we discuss how common TTP textbooks connect three topics ubiquitous to such courses: logic, proof techniques, and sets. In particular, we were motivated by recent research showing that focusing on sets is…

This theoretical paper sets forth two "aspects of predication," which describe how students perceive the relationship between a property and an object. We argue these are consequential for how students make sense of discrete mathematics proofs related to the properties and how they construct a logical structure. These aspects of…

Extending the discussion on replication in sociology and psychology, this article focuses on the adaption of scales in research. Drawing on a recently published scale, we highlight several validity issues in the scale's composition and development. Using data from two empirical studies, we subsequently show how scales can be tested and adapted. In…

In mathematics education research, proofs are often conceptualized as sequences of mathematical assertions. We argue that this ignores proofs that contain instructions to perform mathematical actions, often in the form of imperatives, which are common both in mathematical practice and in undergraduate mathematics textbooks. We consider in detail a…

The Ottawa Surgical Competency Operating Room Evaluation (OSCORE) is an assessment tool that has gained prominence in postgraduate competency-based training programs. We undertook a systematic review and narrative synthesis to articulate the underlying validity argument in support of this tool. Although originally developed to assess readiness for…

In this position paper, we propose commognition for the study of proof teaching at university lectures through an integrative literature review. We critically examine studies that focused on proof teaching but did not use the commognitive framework. Through this examination, we gain an understanding of the pedagogical aspects of proof teaching and…

Assuring the quality of education is a concern of learning institutions. To do so, it is necessary to have assertive learning management, with consistent data on students' outcomes. This research provides associate deans and researchers, a roadmap with which to gather evidence to improve the quality of open-ended assessments. Based on statistical…

Students are assessed by coursework and/or exams, all of which are marked by assessors (markers). Student and marker performances are then subject to end-of-session board of examiner handling and analysis. This occurs annually and is the basis for evaluating students but also the wider learning and teaching efficiency of an academic institution.…

What kinds of validity evidence can the University of Kansas Sense of Belonging Test (KU-SBT) provide? Through the operationalization of a construct, this study intends to build an initial validity argument for the KU-SBT to determine exchange graduate students' manifestations of internal and external sense of belonging, which may play a role in…