Search results for "Overview"
showing 10 items of 158 documents
Teachers' initiating change in practice due to variation of progression of didactical time
2015
International audience; This study aims at identifying situations where time can act as a condition for change in teacher practice. A design based research methodology was applied and teachers where offered help designing mathematics tasks they would want to use in the classroom. All the discussions from this collaboration were analysed using timescales as analytical categories as described by Assude (2005). The findings show that in a diverse class, the difference in learning pace between students can condition change in the teachers practice.
Mathematics Teaching for Economics Students, But How?
2018
International audience; The research presented in this poster addresses the poor performance of many economics students in their first mathematics course at university level. Two different universities are involved in the research, trying to answer the question of “how to structure teaching in mathematics to economics students at university level to strengthen their mathematical competences?”
A Study of Students' Reasoning About “There exists no ...”
2018
International audience; In this paper, we report findings from two studies of students' engagement in metatheoretical tasks drawn from a model of the reasoning requirements of a proof by contradiction. The studies explored students' engagement in and success with the tasks, as well as the similarities and differences in students' and mathematicians' approaches. Findings indicate students tended towards syntactic, logical theory approaches while mathematicians gravitate towards semantic, mathematical theory approaches. Drawing on interview data, it is shown that students may use symbols to avoid employing fragile content knowledge, yet encounter further difficulties by viewing quantifiers as…
The constitution of the nature of mathematics in the lecturing practices of three university mathematics teachers
2015
International audience; The study reported in this paper investigates how notions of the nature of mathematical knowledge and mathematical objects are articulated in the discursive practices of three university mathematics teachers at a Swedish university. The data consists of video recorded lectures, and the analyses were informed by classifications presented by Lerman (1990) and Davis and Hersh (1981). The results indicate that different epistemological and ontological positions are indeed constituted through the discourse. Although the discourse is generally highly objectified, the ways in which mathematical objects are introduced differ. Mostly the discourse was within an ab-solutist pa…
Trustworthiness of information about students' competencies in fundamental concepts in calculus provided by written examination
2015
International audience; The research reported in this paper aims to explore how students' competencies in calculus are exposed when being assessed. Several different competencies are required to achieve proficiency in mathematics. However, one problem is when the main focus of the student lies within procedural fluency because this is what pays off in the final examination. In this paper, written examination and task-based interview are used to find information about one student's competence in using formulae, fluency in written procedures, and strategies used for solving tasks. It is argued that the information about the student's competencies seen through a task-based interview is differe…
On students' understanding of Riemann sums of integrals of functions of two variables
2018
International audience; APOS (Action-Process-Object-Schema) Theory is used to pose and test a conjecture of mental constructions that may be used to understand the relation between integrals of two variable functions over rectangles and corresponding Riemann sums. Interviews with ten students who had just finished a multivariable calculus course showed that the conjectured mental constructions are necessary.
Delineating Aspects of Understanding Eigentheory through Assessment Development
2018
International audience; In this report, we share insights we have gained from developing an assessment for documenting students' understanding of eigentheory. We explain the literature and theory that influenced the assessment's development and share question examples. We frame our results in terms of three eigentheory settings (Ax = λx, (A - λI)x = 0, and eigenspaces) and four interpretations (numeric, algebraic, geometric, and verbal). Results from our analysis include students' reasoning being influenced by setting, insights into students' struggle with understanding eigenspaces, and the importance of making connections between and across various interpretations.
Deux frères scientifiques de renom : Fernand et Robert de Montessus de Ballore
2011
National audience; Le premier des deux frères, Fernand " Bernard de Montessus de Ballore ", est l'un des précurseurs de la séismologie, selon le terme de l'époque : il a établi par des relevés rigoureux et nombreux que les tremblements de terre étaient en relation avec la géologie et non avec les phases de la lune ou les volcans souterrains comme on le supposait au début du XXe siècle. En 2006, le Laboratoire International Montessus de Ballore est créé entre le CNRS-INSU et l'Université du Chili à Santiago. Le second, Robert " Bernard de Montessus de Ballore ", a œuvré pour les mathématiques : il a reçu un Grand Prix de l'Académie des Sciences en 1906 pour ses travaux dans le domaine des fr…
The role of virtual work in Levi-Civita's parallel transport
2015
International audience; According to current history of science, Levi-Civita introduced parallel transport solely to give a geometrical interpretation to the covariant derivative of absolute differential calculus. Levi-Civita, however, searched a simple computation of the curvature of a Riemannian manifold, basing on notions of the Italian school of mathematical physics of his time: holonomic constraints, virtual displacements and work, which so have a remarkable, if not dominant, role in the origin of parallel transport.
Un astronome bourguignon : Alexandre Véronnet (1876-1951)
2016
Qui est donc Alexandre Véronnet ? Nous allons voir qu'Alexandre Véronnet est un scientifique tout à fait étonnant ayant eu un parcours particulièrement original. Prêtre, il quitte l’Eglise à la fin de la Première Guerre mondiale. Il soutient une thèse en Astronomie en 1912. Le premier conflit mondial, auquel il participe comme infirmier d’Août 1914 à Février 1919, l’empêchera de débuter une carrière d’astronome à Paris. L’oeuvre scientifique de Véronnet est importante tant en Astronomie (et en Cosmogonie) qu’en Mécanique Rationnelle. Alexandre Véronnet participe à la rédaction du premier fascicule du Tome 4] en 1932 et écrit entièrement en 1937 le second fascicule du Tome 4 du Traité de Pau…