Search results for "Overview"

Cross-linking maths: Using keynotes to structure a curriculum for future teachers

2018

International audience; The paper gives an outline of a concept for university maths teacher education, that is based on three keynotes, which are central scientific notions, history and language. Amongst other benefits, the keynotes serve as cross-links between the different courses the students go through in their studies.

Mathematical modelling and activation – a study on a large class, a project-based task and students' flow

2018

International audience; We studied how engineering students in a large class (n=346) can be activated by a project-based task, in which they have to model mathematically the motion of an object. The students had to throw an object, use (1) their smart phones for filming, and (2) tracker software for capturing the motion. Through a poster, they had to report their video analysis. We framed activation through the concept of flow, which is a state of being fully absorbed by an activity. We administered a web-based questionnaire (response rate 69%). The results show that such a project-based task is feasible with >300 students and activated them: three out of five experienced flow. Also, we val…

Exposition : Mathématiciens bourguignons et livres rares

2020

Students' understanding of mathematical models in three norwegian biology courses

2018

International audience; Development in Biology over the last three decades have greatly increased the need for using mathematics in this field. This has influenced biology students which need to develop mathematical knowledge to be able to work with contemporary biology models, including frameworks that are applicable in analyzing the overwhelming flow of biological data (i.e. Labov, Reid & Yamamoto, 2010). Although a quantitative approach is often used in university biology courses, yet they remain largely qualitative and descriptive (Nelson, et. al., 2009). In Norwegian context, where this study will be conducted, there is an increased awareness towards mathematics from the Departments of…

Using historical school book excerpts for the education of mature mathematics teachers

2015

International audience; The use of historical and cultural perspectives in university mathematics education can support the development of self-esteem and maturity. It can bring together students with similar interests. We present the concept of a seminar on the analysis of mathematical textbooks and of learning contexts based on the consideration of historical excerpts. Such a seminar can become a starting point for a community of practice with the potential to develop social recognition and personal appreciation of the individual interests and talents of its members and their joint activities.

Les ouvrages de mathématiques dans l'histoire

2013

Les frontières qui séparent les ouvrages de mathématiques, qu'ils soient destinés à la recherche, l'enseignement ou la culture, sont poreuses. L'auteur d'un ouvrage destiné à des chercheurs doit se faire comprendre, surtout s'il propose des notions inédites. L'auteur d'un ouvrage d'enseignement voit parfois des problèmes d'enseignement devenir des problèmes mathématiques. Un ouvrage destiné à la culture mathématique accumule les difficultés : diffuser des idées nouvelles à un public non averti. Le propos de ces études sur les ouvrages de mathématiques est de parcourir ces frontières pour questionner aussi bien l'existence des ouvrages, leur production et leur matérialité, que les visées de …

Students' understanding of ɛ-statements involving equality and limit

2018

International audience; The purpose of this paper is to explore how students may understand the link between the formalisations through ɛ-statements of infinite processes in the Archimedean continuum. These processes illustrate either equality or limit. In particular, we focus on the extent to which students perceive the formalisation of the infinite closeness notion in the two processes. The data is collected from an extensive design research carried out at the transition between Calculus course and Analysis course. TDS construct of milieu is deployed to build and to analyse exploratory teaching-experiments. The results put forward how ɛ-statements may assist students to reconsider their i…

Exploring grade 9 students' assumption making when mathematizing

2015

International audience; Making assumptions is a key activity in modelling. The present study aims to explore the variety of assumptions that lower secondary students make in this process. As theoretical basis for the data analysis, we used the modelling cycle by Blum and Leiss (2007) and framed a definition of assumptions. The study was carried out with grade 9 students. The results show three categories of assumptions: (1) parameter assumptions, (2) assumptions for the choice of the mathematical model, and (3) assumptions about task expectations. Assumptions from the first two categories assist students to use extra-mathematical knowledge to construct a mathematical model, while the third …

"Table 26" of "Measurements of $t\bar{t}$ differential cross-sections of highly boosted top quarks decaying to all-hadronic final states in $pp$ coll…

2019

$|\cos\theta^{*}|$ normalized differential cross-section at particle level

"Table 13" of "Measurements of $t\bar{t}$ differential cross-sections of highly boosted top quarks decaying to all-hadronic final states in $pp$ coll…

2019

$|\cos\theta^{*}|$ absolute differential cross-section at particle level