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Discrete mathematics is the foundation of computer science. It focuses on concepts and reasoning methods that are studied using math notations. It has long been argued that discrete math is better taught with programming, which takes…

Computers and Society · Computer Science 2021-10-07 Yanhong A. Liu , Matthew Castelllana

In the present article the necessity of introducing the teaching of time from the first educative stages is defended through a didactic process in which a feedback is produced between its chronological dimension (perception and measuring of…

Physics Education · Physics 2018-03-06 Jose Gomez-Galan

The words ``Programming is the second literacy'' were coined more than 40 years ago but never came to life. This paper is one in the series of papers aimed at the analysis of mathematical requirements for a merge of school mathematics with…

History and Overview · Mathematics 2022-12-26 Alexandre Borovik , Vladimir Kondratiev

This book introduces to the theory of probabilities from the beginning. Assuming that the reader possesses the normal mathematical level acquired at the end of the secondary school, we aim to equip him with a solid basis in probability…

History and Overview · Mathematics 2021-09-08 Gane Samb Lo , Aladji Babacar Niang , Lois Chinewendu Okereke

The integration of digital tools in mathematics education is considered both promising and problematic. To deal with this issue, notions of webbing and instrumental orchestration are developed. However, the two seemed to be disconnected,…

History and Overview · Mathematics 2014-08-12 Luc Trouche , Paul Drijvers

If we want mathematics education to be valuable to everybody, including those who do not pursue mathematics-related careers, we need to use mathematics as a training ground for certain ways of thinking. This dissertation focuses on one…

History and Overview · Mathematics 2021-08-18 Madhav Kaushish

In the past two decades, teaching and outreach have come to hold an expected place in more missions of mathematics departments and organizations. Still, there is more to do as a mathematical sciences community for mathematics education and…

History and Overview · Mathematics 2025-02-14 Yvonne Lai

An argument is presented that mathematics teachers would benefit from an ethics framework that allows them to reflect upon their position regarding the teaching of ethics within mathematics. We present such a framework, adapted from Chiodo…

History and Overview · Mathematics 2022-12-23 Lucy Rycroft-Smith , Dennis Müller , Maurice Chiodo , Darren Macey

The flipped classroom technique has recently been a focus of attention for many math instructors and pedagogical researchers. Although research on the subject has greatly increased in recent years, it is still debated whether the flipped…

History and Overview · Mathematics 2020-10-23 Adeli Hutton

Mathematical literacy plays an important role in supporting individuals to fulfil their professional roles in modern society. The affordances of mobile technologies as well as the emergence of new theories in mobile learning have the…

Computers and Society · Computer Science 2016-06-09 Zaenal Abidin , Anuradha Mathrani , David Parsons , Suriadi Suriadi

We consider a definition of mathematics as the art of thinking in terms of formalized systems, and the science of relations, structures and algorithms. We also touch upon the relation of mathematics to other sciences, in particular through…

History and Overview · Mathematics 2015-10-19 Snorre H. Christiansen

We discuss first experiences with a new variant of self-assessment in higher mathematics education. In our setting, the students of the course have to mark a part of their homework assignments themselves and they receive the corresponding…

History and Overview · Mathematics 2020-05-26 Sarah Beumann , Sven-Ake Wegner

A learning algorithm based on primary school teaching and learning is presented. The methodology is to continuously evaluate a student and to give them training on the examples for which they repeatedly fail, until, they can correctly…

Artificial Intelligence · Computer Science 2010-12-14 Ninan Sajeeth Philip

This study explores how pre- and post-assessments shape learning outcomes in an Introductory Real Analysis course. Pre-assessments act as learning roadmaps, highlighting prior knowledge and guiding student focus, while post-assessments…

History and Overview · Mathematics 2025-05-29 Chamila Malagoda Gamage

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

This introduction to arithmetic coding is divided in two parts. The first explains how and why arithmetic coding works. We start presenting it in very general terms, so that its simplicity is not lost under layers of implementation details.…

Information Theory · Computer Science 2023-02-03 Amir Said

We describe the development of a junior-senior level course for Physics majors designed to teach Mathematica skills in support of their undergraduate coursework, but also to introduce students to modern research level results. Standard…

Physics Education · Physics 2007-12-17 R. W. Robinett

Monograph is singled out stages of the theory and methods of using ICT in teaching higher mathematics engineering students in the United States, theoretically grounded and developed educational models of ICT using while learning higher…

History and Overview · Mathematics 2018-09-27 Nataliia M. Kiianovska , N. V. Rashevska , Serhiy O. Semerikov

Recent investigations have been carried out on critical analyses of beginning physics teachers confronted with questionable explanations. These studies raise the question of the choices made by teachers for their teaching once they have…

Physics Education · Physics 2021-04-29 Laurence Viennot

Drawing on the Data and Predictions strand of the Indicazioni Nazionali per il curricolo 2012, this study proposes a problem based instructional approach to the teaching of probability. More specifically, the study adopts a design based…

History and Overview · Mathematics 2026-04-24 Luigia Caputo , Aniello Buonocore