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Robust preparation of future secondary mathematics teachers requires attention to the acquisition of mathematical knowledge for teaching. Many future teachers learn mathematics content primarily through mathematics major courses that are…

History and Overview · Mathematics 2021-02-10 Elizabeth G. Arnold , Elizabeth A. Burroughs , Elizabeth W. Fulton , James A. Mendoza Álvarez

In the article the problems of the systems of computer mathematics use as a tool for the students learning and research activities support are investigated. The promising ways of providing access to the mathematical software in the…

Computers and Society · Computer Science 2018-07-04 Mariya Shyshkina , Uliana Kohut , Maiia Popel

The aim of this article is to present elements and discuss the potential of a research program at the intersection between mathematics and heterodox economics, which we call Criticial Mathematical Economics (CME). We propose to focus on the…

General Economics · Economics 2025-04-08 Johannes Buchner

This article provides a curated review of selected papers published in prominent economics journals that use machine learning (ML) tools for research and policy analysis. The review focuses on three key questions: (1) when ML is used in…

General Economics · Economics 2023-04-21 Ajit Desai

For several years, students visit us on different occasions at the university. But how to bridge from the school curriculum to the contents of the university mathematics? And how to find a focal point at which an active contribute, despite…

Optimization and Control · Mathematics 2016-03-26 Miriam Kießling , Sascha Kurz , Tobias Kreisel , Jörg Rambau , Konra Schade , Cornelius Schwarz

There have been several modifications of how basic calculus has been taught, but very few of these modifications have considered the computational tools available at our disposal. Here, we present a few tools that are easy to develop and…

History and Overview · Mathematics 2024-10-04 Parthasarathy Srinivasan

The long-term objective of our research is to develop the instrumental approach for teachers. A first step, presented in this paper, is to observe stable behaviours of teachers using internet resources in mathematics. We retain the…

History and Overview · Mathematics 2010-03-02 Laetitia Bueno-Ravel , Ghislaine Gueudet

The aim of this chapter is to identify and characterise the pedagogical model prescribed for this particular mathematics teaching delivered in post-primary vocational training. More specifically, the contribution investigates two major…

History and Overview · Mathematics 2023-08-01 Xavier Sido

A new generation of educational mathematics software is being shaped in ThEdu and other academic communities on the side of computer mathematics. Respective concepts and technologies have been clarified to an extent, which calls for…

History and Overview · Mathematics 2019-04-19 Walther Neuper

As the amount of economic and other data generated worldwide increases vastly, a challenge for future generations of econometricians will be to master efficient algorithms for inference in empirical models with large information sets. This…

Computation · Statistics 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

Scientific research involves mathematical modelling in the context of an interactive balance between theory, experiment and computation. However, computational methods and tools are still far from being appropriately integrated in the high…

Physics Education · Physics 2016-08-14 Rui Gomes Neves , Jorge Carvalho Silva , Vítor Duarte Teodoro

This paper surveys the machine learning literature and presents in an optimization framework several commonly used machine learning approaches. Particularly, mathematical optimization models are presented for regression, classification,…

Optimization and Control · Mathematics 2021-01-12 Claudio Gambella , Bissan Ghaddar , Joe Naoum-Sawaya

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

Case studies are typically used to teach 'ethics', but when the content of a course is focused on formulae and proofs, a case analysis and the knowledge, skills, and abilities they require can be distracting. Moreover, case analyses are…

Applications · Statistics 2023-10-03 Rochelle E Tractenberg

This paper lays out the current landscape of tools used in statistics education. In particular, it considers graphing calculators, spreadsheets, applets and microworlds, standalone educational software, statistical programming tools, tools…

Computation · Statistics 2016-10-05 Amelia McNamara

Background: Software modelling is a creative yet challenging task. Modellers often find themselves lost in the process, from understanding the modelling problem to solving it with proper modelling strategies and modelling tools. Students…

Software Engineering · Computer Science 2024-09-23 Shalini Chakraborty , Javier Troya , Lola Burgueño , Grischa Liebel

These lecture notes are derived from a graduate-level course in dynamic optimization, offering an introduction to techniques and models extensively used in management science, economics, operations research, engineering, and computer…

Optimization and Control · Mathematics 2024-10-11 Bar Light

This text is a support for different courses of the master of Mechanics of the University Paris-Saclay. The content of this text is an introduction, for graduate students, to tensor algebra and analysis. Far from being exhaustive, the text…

History and Overview · Mathematics 2025-01-13 Paolo Vannucci

The actuality of material attached to the article is caused by the necessity to develop and implement high-tech information and communication, educational and scientific environment to the leaning process. One of the examples of such…

General Mathematics · Mathematics 2018-09-10 Kateryna Slovak

Students of Computer Science often wonder when, exactly, one can apply a greedy algorithm to a problem, and when one must use the more complicated and time-consuming techniques of dynamic programming. This paper argues that the existing…

Data Structures and Algorithms · Computer Science 2020-11-20 Eugene Callahan , Robert Murphy , Anas Elghafari