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Direct linkTakahiko Fujita; Naohiro Yoshida – International Journal of Mathematical Education in Science and Technology, 2024
Two novel proofs show that the sum of a specific pair of normal random variables is not normal are established in this note. This is one of the most often misunderstood facts by first-year students in probability theory and statistics. The first proof is concise using the moment generating function. The second proof checks whether the moments of…
Descriptors: Mathematical Logic, Validity, Probability, Statistics
Amanda J. Shaker; Christopher Brignell; Mathew Pugh – International Journal of Mathematical Education in Science and Technology, 2025
A commonly-held belief is that many university students are 'assessment-driven'; that is, students engage more with activities that are assessed compared with those that are not. 'Incentivised engagement' includes the practice of providing incentives (such as marks or otherwise) for students to engage in particular activities. Perusall is a social…
Descriptors: Undergraduate Students, Reading Assignments, Educational Technology, Technology Uses in Education
Ayhan Kursat Erbas; Mehmet Fatih Ocal – International Journal of Mathematical Education in Science and Technology, 2024
The purpose of this study was twofold. First, to explore middle and high school students' intuitively-based (mis)conceptions in probability, particularly availability and representativeness heuristics. Second, to investigate teachers' awareness of these intuitively-based (mis)conceptions and the effectiveness of their instructional practices to…
Descriptors: Misconceptions, Heuristics, Middle School Students, High School Students
