Purpose: The primary objective of this research paper was to examine the objectivity of the preselected items evaluation (PIE) method, a prevalent translation scoring method deployed by international institutions such as UAntwerpen, UGent and the University of Granada. Design/methodology/approach: This research critically analyzed the scientific…

Combinatorial proofs of binomial identities involve establishing an identity by arguing that each side enumerates a certain set of outcomes. In this paper, we share results from interviews with experienced provers (mathematicians and upper-division undergraduate mathematics students) and examine one particular aspect of combinatorial proof, namely…

Problem solving and proofs have always played a major role in mathematics. They are, in fact, the heart and soul of the discipline. The using of a number of different proof techniques for one specific problem can display the beauty, and elegance of mathematics. In this paper, we present one specific, interesting geometry problem, and present four…

In this cross-national study, we explore the different ways of reasoning-and-proving (RP) presented in three 8th grade textbooks, one from each country: Turkey, Norway, and Slovakia. While the analysis revealed that all three textbooks contain similar numbers of problems involving some form of RP, differences exist in terms of the dominating ways…

For medical educators, autoethnography as a research methodology provides a means of active engagement in reflective practice, ranging from teaching and educational innovation to interactions with patients and colleagues. In this way, they may benefit from the systematic reflexivity required, improve their interactions with the people around them,…

In this dissertation, I utilize the post-structural philosophy of Gilles Deleuze and Fe´lix Guattari as a lens for investigating the proof process. Deleuze and Guattari were both post- structural philosophers who, like many in this tradition, troubled traditional notions related to stable identities, meaning, language, and mathematics. For…

Single-case experimental designs (SCEDs) have a long history in clinical and educational disciplines. One underdeveloped area in advancing SCED design and analysis is understanding the process of how internal validity threats and operational concerns are avoided or mitigated. Two strategies to ameliorate such issues in SCED involve replication and…

Mastery of mathematical literacy is essential for developing life skills in the 21st century. Mathematical literacy is even more critical in elementary schools as it forms the basis for mastery at the junior and senior high school levels. Elementary school students differ in their characteristics from students at the higher education level. They,…

This research article is about "Introducing a Supportive Framework to Address Students' Misconceptions and Difficulties in Learning Mathematical proof techniques (MPT): A Case of Debark University". This study aims to develop, introduce, and implement a supportive framework to overcome students' misconceptions and difficulties in MPT.…

Some children with autism spectrum disorder (ASD) experience seizures and associated staring episodes, loss of consciousness, weakened muscle tone, and myoclonic jerking. Data recording of seizure frequency, duration, and co-occurring behavior is necessary to document the effects of anti-epileptic medications, identify contextual influences on…

A best-evidence synthesis and meta-analysis were conducted to evaluate interventions designed to decrease noncompliance in early childhood settings. Studies were examined for quality, intervention components, and outcomes for young children (ages 2-8 years) across settings. Results indicated most designs were high-quality and produced desired…

We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…

Introduction: This study investigated the reliability and validity of the dynamic risk outcome scales--short version (DROS-SV). This instrument is developed to monitor treatment progress using dynamic risk factors in clients with mild intellectual disabilities or borderline intellectual functioning and behavioural and/or mental health problems.…

Undergraduate students are expected to produce and comprehend constructive existence proofs; yet, these proofs are notoriously difficult for students. This study investigates students' thinking about these proofs by asking students to validate two arguments for the existence of a mathematical object. The first argument featured a common structural…

Current environmental risks, such as climate change and nature loss, force us to look for solutions in every sector of society. A successful sustainability transition requires the manipulation of deep systemic leverage points. Hence, a deep leverage point framework based on sustainability competencies is needed to conceptualise sustainability…