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One challenge (or opportunity!) that many instructors face is how varied the backgrounds, abilities, and interests of students are. In order to simultaneously instill confidence in those with weaker preparations and still challenge those…

History and Overview · Mathematics 2024-11-07 Hung Viet Chu , Steven J. Miller , Joshua M. Siktar

This book contains a large number of exercises related to different stochastic disciplines. Difficulty of the problems varies from the basic level in the first chapter up to the analysis of articles in Probability, Statistics and Computer…

The paper describes methodology of math education for students interested in chemistry. Suppose we have mathematical circle 2 hours per week. What can be done? We can not provide any systematic study, but we can choose one subject and show…

History and Overview · Mathematics 2017-12-06 A. J. Belov , G. O. Shnider

The computational study of elections generally assumes that the preferences of the electorate come in as a list of votes. Depending on the context, it may be much more natural to represent the list succinctly, as the distinct votes of the…

Computer Science and Game Theory · Computer Science 2021-06-25 Zack Fitzsimmons , Edith Hemaspaandra

This is a set of 288 questions written for a Moore-style course in Mathematical Logic. I have used these (or some variation) four times in a beginning graduate course. Topics covered are: propositional logic axioms of ZFC wellorderings and…

Logic · Mathematics 2008-02-03 Arnold W. Miller

It is widely agreed that exams must be fair; yet what this exactly means is not made clear. One may mean fairness of treatment, but this merely propagates the fairness or unfairness of pre-existing rules. Fairness of opportunity on the…

General Physics · Physics 2008-04-01 Mathieu Bouville

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

Programming Languages · Computer Science 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao

This paper introduces DOoM, a new open-source benchmark designed to assess the capabilities of language models in solving mathematics and physics problems in Russian. The benchmark includes problems of varying difficulty, ranging from…

Artificial Intelligence · Computer Science 2025-11-14 Ilya Kuleshov , Ilin Pavel , Nikolay Kompanets , Ksenia Sycheva , Aleksandr Nikolich

Multiple choice exams are widely used to assess candidates across a diverse range of domains and tasks. To moderate question quality, newly proposed questions often pass through pre-test evaluation stages before being deployed into…

Computation and Language · Computer Science 2023-10-17 Adian Liusie , Vatsal Raina , Andrew Mullooly , Kate Knill , Mark J. F. Gales

The traditional approach to studying student understanding presents a question and uses the student answers to make inferences about their knowledge. However, this method does not capture the range of possible alternative ideas available to…

Physics Education · Physics 2022-06-29 Nolan K. Weinlader , Eric Kuo , Benjamin M. Rottman , Timothy J. Nokes-Malach

We propose a method for using the scoring values of passages to effectively retrieve documents in a Question Answering system. For this, we suggest evaluation function that considers proximity between each question terms in passage. And…

Information Retrieval · Computer Science 2015-12-18 Man-Hung Jong , Chong-Han Ri , Hyok-Chol Choe , Chol-Jun Hwang

Large Language Models (LLMs) are increasingly used for educational support, yet their response quality varies depending on the language of interaction. This paper presents an automated multilingual pipeline for generating, solving, and…

Computation and Language · Computer Science 2025-12-04 Mariam Mahran , Katharina Simbeck

When students are unsure of the correct answer to a multiple-choice question (MCQ), guessing is common practice. The availability heuristic, proposed by A. Tversky and D. Kahneman in 1973, suggests that the ease with which relevant…

Computation and Language · Computer Science 2026-02-20 Leonidas Zotos , Hedderik van Rijn , Malvina Nissim

We outline an unified introduction to the evolution equations of classical and quantum systems intended for a high school students audience. The attempt consists in circumventing the lack of mathematical knowledge with the use of simplified…

Physics Education · Physics 2017-06-01 Emilio Balzano , Eliana D'Ambrosio , Rodolfo Figari

In this short article, we present a solution to one of the probability puzzles that Daniel Litt, a mathematician at the University of Toronto, posted on his X account earlier this year. The main goal of this note is to show how some of the…

History and Overview · Mathematics 2025-01-08 Daniel Otero

In this short paper we present a survey of some results concerning the random SAT problems. To elaborate, the Boolean Satisfiability (SAT) Problem refers to the problem of determining whether a given set of $m$ Boolean constraints over $n$…

Probability · Mathematics 2023-11-07 Andreas Basse-O'Connor , Tobias Lindhardt Overgaard , Mette Skjøtt

Subject headings are very important to machine catalogs, given the importance of thematic research. This study aims to measure the quality of a group of authorized subject headings with a sample of Arabic bibliographic records on the…

Digital Libraries · Computer Science 2024-03-28 Ahmed Ammar Hussein Hammam

As real logic programmers normally use cut (!), an effective learning procedure for logic programs should be able to deal with it. Because the cut predicate has only a procedural meaning, clauses containing cut cannot be learned using an…

Artificial Intelligence · Computer Science 2008-02-03 F. Bergadano , D. Gunetti , U. Trinchero

This thesis was submitted as partial fulfillment of the requirements for the Masters Degree in the Department of Computer Science, Bar-Ilan University. The final step in getting an Israeli M.D. is performing a year-long internship in one of…

Computer Science and Game Theory · Computer Science 2015-07-09 Slava Bronfman

A self-training scheme geared at inducing students to improve their skills through independent homework is presented. The motivation is to identify an inexpensive, yet effective tool for raising the competence level of students in the…

Physics Education · Physics 2018-09-14 G. L. Lippi