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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

In the last decade, major efforts have been made to promote inquiry-based mathematics learning at the tertiary level. The Inquiry-Based Mathematics Education (IBME) movement has gained strong momentum among some mathematicians, attracting…

History and Overview · Mathematics 2022-09-22 Tanya Evans , Heiko Dietrich

Flipped classroom pedagogy is widely used in undergraduate mathematics to promote active learning, yet it remains unclear whether students experience it in systematically different ways. In this study, we analyze student perceptions from an…

History and Overview · Mathematics 2026-05-11 S. Laudari , N. Karjanto

A pedagogical approach of problem-based learning with embedded librarianship in several undergraduate mathematics courses is implemented in this educational research. The students are assigned to work on several projects on various…

History and Overview · Mathematics 2015-04-08 N. Karjanto , M. Kairatbekkyzy , J. Agee

Due to the remarkable language understanding and generation abilities of large language models (LLMs), their use in educational applications has been explored. However, little work has been done on investigating the pedagogical ability of…

Computation and Language · Computer Science 2023-10-23 An-Zi Yen , Wei-Ling Hsu

This paper is the second one in a series of work on the mathematical creativity of LLM. In the first paper, the authors proposed three criteria for evaluating the mathematical creativity of LLM and constructed a benchmark dataset to measure…

Artificial Intelligence · Computer Science 2026-03-20 Xiaoyang Chen , Xiang Jiang

This paper discusses several linear algebra activities designed to help enhance students' skills in collaborating, exploring mathematics, and linking together abstract and visual ways of approaching mathematics. Most of these activities are…

History and Overview · Mathematics 2024-02-16 Shintaro Fushida-Hardy , Pranav Nuti , Megan Selbach-Allen

In this article we describe special type of mathematical problems that may help develop teaching methods that motivate students to explore patterns, formulate conjectures and find solutions without only memorizing formulas and procedures.…

History and Overview · Mathematics 2022-06-02 Hugo Caerols-Palma , Katia Vogt-Geisse

The evolution of mathematics is shaped importantly by interestingness: researchers choose which problems to pursue, and students choose which problems to engage with, based on expectations of interest and challenge. As AI systems,…

When executed well, project-based learning (PBL) engages students' intrinsic motivation, encourages students to learn far beyond a course's limited curriculum, and prepares students to think critically and maturely about the skills and…

Computers and Society · Computer Science 2025-03-11 Gati Aher , Robin Schmucker , Tom Mitchell , Zachary C. Lipton

In an era where learning is considered a problem, we decided to go for problems for the sake of learning! The purpose of this study was to throw light on the issues involved in two forms of PBL viz., Case Study Based PBL and Research Based…

Computers and Society · Computer Science 2014-10-20 S. M. Jacob , B. Issac

The use of computer-based mathematics tools is widespread in learning. Depending on the way that these tools assess the learner's solution paths, one can distinguish between automatic assessment tools and semi-automatic assessment tools.…

Computers and Society · Computer Science 2012-07-11 Paul Libbrecht , Sandra Rebholz , Daniel Herding , Wolfgang Müller , Felix Tscheulin

One of the grand challenges of Mathematics instruction is to provide students with problems that are both accessible and have a reasonably elegant solution. Instructors commonly resort to resources like course textbooks, online-learning…

History and Overview · Mathematics 2024-02-13 Ryan H. Allaire , Margaret Reynolds , Andrew C. Lee

Curiosity as a means to explore during reinforcement learning problems has recently become very popular. However, very little progress has been made in utilizing curiosity for learning control. In this work, we propose a model-based…

Robotics · Computer Science 2019-10-09 Sarah Bechtle , Yixin Lin , Akshara Rai , Ludovic Righetti , Franziska Meier

Learning analytics is a research topic that is gaining increasing popularity in recent time. It analyzes the learning data available in order to make aware or improvise the process itself and/or the outcome such as student performance. In…

Databases · Computer Science 2015-01-29 Usha Keshavamurthy , H. S. Guruprasad

Sliding friction is usually introduced in high school, but rarely through activities in laboratory. A qualitative introduction to friction is presented by proposing exploration of different kind of materials in order to suggest which…

Physics Education · Physics 2016-01-08 Vera Montalbano

Learning Analytics (LA) is nowadays ubiquitous in many educational systems, providing the ability to collect and analyze student data in order to understand and optimize learning and the environments in which it occurs. On the other hand,…

Computer-aided design of molecules has the potential to disrupt the field of drug and material discovery. Machine learning, and deep learning, in particular, have been topics where the field has been developing at a rapid pace.…

Machine Learning · Computer Science 2022-08-08 Luca A. Thiede , Mario Krenn , AkshatKumar Nigam , Alan Aspuru-Guzik

Interest-based learning (IBL) is a paradigm of instruction in which educational content is contextualized using learners' interests to enhance content relevance. IBL has been shown to result in improved learning outcomes. Unfortunately,…

Human-Computer Interaction · Computer Science 2026-03-02 Abhishek Kulkarni , Sharon Lynn Chu

University level mathematics in a number of countries is under pressure to `decolonise the curriculum'. This paper considers, as a test case, a possible `decolonisation' of linear algebra. This is a representative case, since linear algebra…

History and Overview · Mathematics 2023-01-13 Alexandre Borovik
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