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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
Joshua Holden – PRIMUS, 2024
This paper describes Alkaline, a size-reduced version of Kyber, which has recently been announced as a prototype NIST standard for post-quantum public-key cryptography. While not as simple as RSA, I believe that Alkaline can be used in an undergraduate classroom to effectively teach the techniques and principles behind Kyber and post-quantum…
Descriptors: Technology, Coding, Undergraduate Study, Algebra
Janet Metcalfe; Judy Xu; Matti Vuorre; Robert Siegler; Dylan Wiliam; Robert A. Bjork – British Journal of Educational Psychology, 2025
Background: Although the generation of errors has been thought, traditionally, to impair learning, recent studies indicate that, under particular feedback conditions, the commission of errors may have a beneficial effect. Aims: This study investigates the teaching strategies that facilitate learning from errors. Materials and Methods: This 2-year…
Descriptors: Error Patterns, Error Correction, Direct Instruction, Test Preparation
Hüseyin Kabadas; Hayal Yavuz Mumcu – Journal of Theoretical Educational Science, 2024
The aim of this study is to examine how middle school mathematics teachers diagnose and attempt to eliminate students' misconceptions in algebra. The study employed a case study method and embedded single-case design. The research was conducted with three mathematics teachers working in different state schools and having different professional…
Descriptors: Middle School Teachers, Middle School Students, Middle School Mathematics, Grade 8