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Jeffrey Ehme – PRIMUS, 2024
The Miller-Rabin test is a useful probabilistic method for finding large primes. In this paper, we explain the method in detail and give three variations on this test. These variations were originally developed as student projects to supplement a course in error correcting codes and cryptography.
Descriptors: Probability, Numbers, Coding, Algorithms
Barahmand, Ali – For the Learning of Mathematics, 2020
Learning the concept of fractions is among the most challenging topics in school mathematics. One of the main sources of difficulties in learning fractions is related to "natural number bias" (Van Hoof, Verschaffel & Van Dooren, 2015). Applying properties of the natural numbers incorrectly in situations involving rational numbers can…
Descriptors: Mathematics Instruction, Fractions, Number Concepts, Numbers
Rodney Nillsen – Australian Mathematics Education Journal, 2024
Equal representation as a social issue is about the participation of one social group, in a particular context, in proportion to the numbers in the group within the total population. The proportion of women in parliament, and of the participation rate of students of lower socioeconomic status in higher education, are examples. The aims of this…
Descriptors: Social Problems, Disproportionate Representation, Foreign Countries, Mathematics Education
Johanna Schoenherr; Stanislaw Schukajlow – ZDM: Mathematics Education, 2024
External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to…
Descriptors: Visualization, Mathematics Education, Educational Research, Pictorial Stimuli
Marek Arendarczyk; Tomasz J. Kozubowski; Anna K. Panorska – Journal of Statistics and Data Science Education, 2023
We provide tools for identification and exploration of data with very large variability having power law tails. Such data describe extreme features of processes such as fire losses, flood, drought, financial gain/loss, hurricanes, population of cities, among others. Prediction and quantification of extreme events are at the forefront of the…
Descriptors: Natural Disasters, Probability, Regression (Statistics), Statistical Analysis
O'Grady, Shaun; Xu, Fei – Child Development, 2020
Two experiments were designed to investigate the developmental trajectory of children's probability approximation abilities. In Experiment 1, results revealed 6- and 7-year-old children's (N = 48) probability judgments improve with age and become more accurate as the distance between two ratios increases. Experiment 2 replicated these findings…
Descriptors: Child Development, Age Differences, Probability, Heuristics
Pasnak, Robert; Thompson, Brittany N.; Gagliano, Katrina M.; Righi, Matthew T.; Gadzichowski, K. Marinka – Journal of Educational Research, 2019
Knowing what kinds of patterns are easy for children to recognize early in their kindergarten year, and what kinds are difficult, can be a useful guide for patterning instruction. Hence, the ability of children to recognize complex patterns early in their kindergarten year was assessed in two experiments. One experiment showed that the children…
Descriptors: Kindergarten, Young Children, Pattern Recognition, Accuracy
Juanchich, Marie; Sirota, Miroslav – Applied Cognitive Psychology, 2020
Family physicians can communicate to patients the risk of adverse drug reactions using words or numbers, and this format has important implications for patients' ability to make informed decisions. The present study (a) assessed which formats family physicians preferred to communicate the risk of a given side effect, (b) tested whether the…
Descriptors: Physicians, Physician Patient Relationship, Drug Therapy, Communication Strategies
Pang, Bo; Nijkamp, Erik; Wu, Ying Nian – Journal of Educational and Behavioral Statistics, 2020
This review covers the core concepts and design decisions of TensorFlow. TensorFlow, originally created by researchers at Google, is the most popular one among the plethora of deep learning libraries. In the field of deep learning, neural networks have achieved tremendous success and gained wide popularity in various areas. This family of models…
Descriptors: Artificial Intelligence, Regression (Statistics), Models, Classification
Danri H. Delport – Numeracy, 2022
A strong foundation in early number concepts is crucial for students' future success in statistics. Despite its importance in statistics, many first-year students struggle to comprehend the normal distribution due to a lack of basic number sense. Students get confused about the order and magnitude of negative z-scores on a standard normal curve or…
Descriptors: Foreign Countries, College Students, Statistics Education, Number Concepts
Nelson, Peter M.; Parker, David C.; Van Norman, Ethan R. – Psychology in the Schools, 2018
In the present study, we evaluated the number of attempts required to master specific subskills for working with whole and rational numbers among students at risk for math difficulties. Participants included a subset of students in grades four through eight receiving supplemental math support. Mastery--defined as 85% correct on short tests--was…
Descriptors: Middle School Students, Elementary School Students, Mathematics Education, At Risk Students
Belova, Olga; Polyakova, Katerina – Mathematics Teaching Research Journal, 2022
The goal of the paper is to pay attention to some important techniques and approaches including adequate designations as a tool for unambiguous understanding and a key to success in solving problems, vivid visual images as a mnemonic techniques, and special formulas as a universal tool for solving typical problems, when teaching medical students…
Descriptors: Mathematics Instruction, Teaching Methods, Medical Students, Problem Solving
Lanham, Susan W. – American Journal of Business Education, 2019
Most literature related to Benford's Law discusses what the law can be used for and how it works but fails to address effective methods and procedures for teaching the law to students. This article examines existing information resources to determine the most effective methods and procedures used to explain this Law to those who have no experience…
Descriptors: Data Analysis, Instructional Effectiveness, Probability, Statistics
Fröber, Kerstin; Jurczyk, Vanessa; Dreisbach, Gesine – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2022
Frequent forced switching between tasks has been shown to reduce switch costs and increase voluntary switch rates. So far, however, the boundary conditions of the influence of forced task switching on voluntary task switching are unknown. Thus, the present study was aimed to test different aspects of generalizability (across items, tasks, and…
Descriptors: Cognitive Ability, Attention Control, Task Analysis, Generalization
Teruni Lamberg, Editor; Diana Moss, Editor – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
The Forty Fifth Annual meeting of the North American chapter of the International Group for the Psychology of Mathematics Education was held PME-NA 45 in Reno, Nevada, October 1-4, 2023. The conference theme is "Engaging All Learners." Math learning should be a joyful experience for all students. When students are engaged and inspired,…
Descriptors: Mathematics Education, Learner Engagement, Student Motivation, Student Interests