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As machine learning (ML) systems increasingly permeate high-stakes settings such as healthcare, transportation, military, and national security, concerns regarding their reliability have emerged. Despite notable progress, the performance of…

Machine Learning · Computer Science 2023-08-01 Anthony Corso , David Karamadian , Romeo Valentin , Mary Cooper , Mykel J. Kochenderfer

Addressing the reproducibility crisis in artificial intelligence through the validation of reported experimental results is a challenging task. It necessitates either the reimplementation of techniques or a meticulous assessment of papers…

Machine Learning · Computer Science 2023-11-14 György Kovács , Attila Fazekas

Acquiring the mathematical, conceptual, and problem-solving skills required in university-level physics courses is hard work, and the average student often lacks the knowledge and study skills they need to succeed in the introductory…

Physics Education · Physics 2009-11-10 David Toback , Andreas Mershin , Irina Novikova

Interpreting experimental data in high school experiments can be a difficult task for students, especially when there is large variation in the data. At the same time, calculating the standard deviation poses a challenge for students. In…

Physics Education · Physics 2022-10-18 Karel Kok , Burkhard Priemer

The increasing use of machine-learning (ML) enabled systems in critical tasks fuels the quest for novel verification and validation techniques yet grounded in accepted system assurance principles. In traditional system development,…

Machine Learning · Computer Science 2020-02-11 Taejoon Byun , Sanjai Rayadurgam

Statistics experiences a storm around the perceived misuse and possible abuse of its methods in the context of the so-called reproducibility crisis. The methods and styles of quantification practiced in mathematical modelling rarely make it…

Methodology · Statistics 2019-08-20 Andrea Saltelli

We developed a pilot course focused on mathematical modeling within the tertiary education framework, with a distinct emphasis on sustainability and sustainable development. While an applicable textbook exists for this liberal arts course,…

History and Overview · Mathematics 2023-12-06 N. Karjanto

Context: Machine learning (ML) may enable effective automated test generation. Objective: We characterize emerging research, examining testing practices, researcher goals, ML techniques applied, evaluation, and challenges. Methods: We…

Software Engineering · Computer Science 2023-04-18 Afonso Fontes , Gregory Gay

We address the relative paucity of empirical testing of learning algorithms (of any type) by introducing a new public-domain, Modular, Optimal Learning Testing Environment (MOLTE) for Bayesian ranking and selection problem, stochastic…

Machine Learning · Computer Science 2017-09-15 Yingfei Wang , Warren Powell

Many real-world classification problems are significantly class-imbalanced to detriment of the class of interest. The standard set of proper evaluation metrics is well-known but the usual assumption is that the test dataset imbalance equals…

Machine Learning · Computer Science 2020-04-16 Jan Brabec , Tomáš Komárek , Vojtěch Franc , Lukáš Machlica

In this paper we present a method of modeling and analysis that permits the extraction and quantitative display of detailed information about the effects of instruction on a class's knowledge. The method relies on a congitive model that…

Physics Education · Physics 2012-09-05 Lei Bao , Edward F. Redish

Problem-based learning (PBL) is a constructivist learner-centered instructional approach based on the analysis, resolution and discussion of a given problem. It can be applied to any subject, indeed it is especially useful for the teaching…

History and Overview · Mathematics 2011-11-17 Marina Cazzola

Mentoring software is a pivotal innovation in addressing critical challenges in teacher development within educational institutions. This study explores the transformative potential of digital mentoring platforms, evaluating their impact on…

Computers and Society · Computer Science 2025-02-19 Ramiro Pesina

Recent developments in computer programming and in mathematics suggest that there is a strong case for a new way of introducing programming to enhance the learning of school mathematics. The article describes a collaboration of mathematics…

History and Overview · Mathematics 2022-03-30 Ian Benson , Jim Darby , Neil MacDonald , Jesse Sigal

The rapid rise of large language models (LLMs) is reshaping the landscape of automatic assessment in education. While these systems demonstrate substantial advantages in adaptability to diverse question types and flexibility in output…

Formal mathematics is mathematics done within the framework of a formal logic. It offers major benefits to mathematicians as well as to computing professionals, engineers, and scientists who use mathematics in their work. The standard…

Logic · Mathematics 2026-03-24 William M. Farmer

The gap between theory and practice in mathematics education, particularly in primary-teacher education, necessitates innovative teaching methodologies. This paper explores the implementation of academic portfolios as a teaching innovation…

History and Overview · Mathematics 2025-04-09 Carlos Rojas Bruna

In the domain of education, the integration of,technology has led to a transformative era, reshaping traditional,learning paradigms. Central to this evolution is the automation,of grading processes, particularly within the STEM domain…

Artificial Intelligence · Computer Science 2024-09-25 Rajlaxmi Patil , Aditya Ashutosh Kulkarni , Ruturaj Ghatage , Sharvi Endait , Geetanjali Kale , Raviraj Joshi

The learning of mathematics starts early but remains far from any theoretical considerations: pupils' mathematical knowledge is first rooted in pragmatic evidence or conforms to procedures taught. However, learners develop a knowledge which…

History and Overview · Mathematics 2014-03-28 Nicolas Balacheff

Although compelling assessments have been examined in recent years, more studies are required to yield a better understanding of the several methods where assessment techniques significantly affect student learning process. Most of the…

Physics Education · Physics 2017-12-15 Khondkar Islam , Pouyan Ahmadi , Salman Yousaf
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