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Takahiko 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
David Voas; Laura Watt – Teaching Statistics: An International Journal for Teachers, 2025
Binary logistic regression is one of the most widely used statistical tools. The method uses odds, log odds, and odds ratios, which are difficult to understand and interpret. Understanding of logistic regression tends to fall down in one of three ways: (1) Many students and researchers come to believe that an odds ratio translates directly into…
Descriptors: Statistics, Statistics Education, Regression (Statistics), Misconceptions
James A. Michaelov – ProQuest LLC, 2024
In recent years, converging evidence has suggested that prediction plays a role in language comprehension, as it appears to do in information processing in a range of cognitive domains. Much of the evidence for this comes from the N400, a neural index of the processing of meaningful stimuli which has been argued to index the extent to which a word…
Descriptors: Prediction, Language Processing, Brain Hemisphere Functions, Linguistic Input
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
Fabian Tomaschek; Michael Ramscar; Jessie S. Nixon – Cognitive Science, 2024
Sequence learning is fundamental to a wide range of cognitive functions. Explaining how sequences--and the relations between the elements they comprise--are learned is a fundamental challenge to cognitive science. However, although hundreds of articles addressing this question are published each year, the actual learning mechanisms involved in the…
Descriptors: Sequential Learning, Learning Processes, Serial Learning, Executive Function
Omar Abu-Ghalyoun; Adnan Al-Abed – Teaching Statistics: An International Journal for Teachers, 2024
This study investigates a range of non-normative ideas that pre-service teachers (PSTs) employ in reasoning about sampling variability. This issue was studied in the context of a content course on statistics and probability for pre-service middle grade teachers at a Midwestern American university. Analysis of seven PSTs' video and screen records…
Descriptors: Preservice Teachers, Middle School Teachers, Teacher Characteristics, Knowledge Level
Marianna Bosch; Angel Gutierrez; Salvador Llinares – ZDM: Mathematics Education, 2024
This survey paper presents recent relevant research in mathematics education produced in Spain, which allows the identification of different broad lines of research developed by Spanish groups of scholars. First, we present and describe studies whose research objectives are related to student learning of specific curricular contents and…
Descriptors: Foreign Countries, Mathematics Education, Preservice Teacher Education, Mathematics Skills
Sashi Sharma; Phil Doyle; Daniel Kumar; Louis Marcelo – Teaching and Learning Research Initiative, 2024
Aotearoa New Zealand is a super diverse nation in terms of the ethnicities of its people and languages spoken. With an increased rate of immigration from various parts of the world, the presence of multiple languages in many domains of social life is a reality. Consequently, classrooms are now places where learners have different linguistic and…
Descriptors: Native Language, Teaching Methods, Statistics, Statistics Education
Hiroto Namihira – IGI Global, 2024
Academic scholars face a difficult challenge when attempting to grasp the intricate world of mathematics. The complexity of mathematical concepts often lies hidden beneath layers of formulas and procedures, obscuring their true essence. Traditional educational resources often fall short in conveying the profound meaning behind these concepts,…
Descriptors: Information Technology, Visual Aids, Mathematics Education, Technology Uses in Education