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.

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…

Automatically identifying struggling students learning to program can assist teachers in providing timely and focused help. This work presents a new deep-learning language model for predicting "bug-fix-time", the expected duration between when a software bug occurs and the time it will be fixed by the student. Such information can guide…

The present study evaluated the effects of a combined form of written corrective feedback (WCF) on English as a foreign language (EFL) students' writing accuracy. The combined WCF consisted of unfocused error-code WCF and focused metalinguistic explanation. Different forms of WCF were administered to two groups of Japanese EFL students in two…

Software is an integral part of our lives. It controls the cars we drive every day, the ships we send into space, and even our toasters. It is everywhere and we can easily download more. Software solves many real-world problems and satisfies many needs. Thus, unsurprisingly, there is a rising demand for software engineers to maintain existing…

Use of peer instruction and facilitation has surged in undergraduate education at large colleges and universities in recent years. Studies on peer instruction have been directed primarily at student learning gains and affective outcomes among the facilitators. For peer instructors, the relationship between their teaching effectiveness and their…

This paper reports on a study exploring English language teachers' stated beliefs on coded unfocused corrective feedback in improving learners' writing accuracy at King Abdulaziz University (KAU). A questionnaire with both closed and open ended items was taken by ten participants. The results of the study indicate that many participants in the…

This study describes the development and structure of a coding scheme for analysing solutions to well-structured problems in terms of cognitive processes and problem-solving deficiencies for first-year engineering students. A task analysis approach was used to assess students' problem solutions using the hierarchical structure from a…

Although feedback is often seen as a critical component of the learning process, many open questions about how specific feedback features contribute to the effectiveness of feedback remain--especially in regards to peer feedback of writing. Nelson and Schunn (2009) identified several important features of peer feedback in their nature of feedback…

Natural language contains disfluencies and errors. Do listeners simply discard information that was clearly produced in error, or can erroneous material persist to affect subsequent processing? Two experiments explored this question using a structural priming paradigm. Speakers described dative-eliciting pictures after hearing prime sentences that…

Effectively exploring the efficacy of synchronous computer-mediated communication (SCMC) for pedagogical purposes can be achieved through the careful investigation of potentially beneficial, inherent attributes of SCMC. This study provides empirical evidence for the capacity of task-based SCMC to draw learner attention to linguistic forms by…

Corley, Brocklehurst, and Moat (2011) recently demonstrated a phonemic similarity effect for phonological errors in inner speech, claiming that it contradicted Oppenheim and Dell's (2008) characterization of inner speech as lacking subphonemic detail (e.g., features). However, finding "an effect" in both inner and overt speech is not the same as…

The slope of the z-transformed receiver-operating characteristic (zROC) in recognition memory experiments is usually less than 1, which has long been interpreted to mean that the variance of the target distribution is greater than the variance of the lure distribution. The greater variance of the target distribution could arise because the…

This paper reports on a small-scale study into the effects of uncoded correction (writing the correct forms above each error) and coded annotations (writing symbols that encourage learners to self-correct) on Colombian university-level EFL learners' written work. The study finds that while both coded annotations and uncoded correction appear to…

In this paper, we give two unexpected applications of a Hamming code. The first one, also known as the "Hat Problem," is based on the fact that a small portion of the available code words are actually used in a Hamming code. The second one is a magic trick based on the fact that a Hamming code is perfect for single-error correction.