Search results for "overview"

The Journal de Math\'ematiques Pures et Appliqu\'ees(1917-1937) : correspondence between Henri Villat and Robert de Montessus de Ballore

2014

We are interested in the "Journal de Math\'ematiques Pures et Appliqu\'ees" (JMPA) over the period 1917-1937. From the end of 1921, two mathematicians worked to its publication, Henri Villat as editor in chief and Robert Montessus Ballore as associate editor. Through unpublished letters, we descrive the operation of the JMPA.

Helping lecturers address and formulate teaching challenges: an exploratory study

2018

International audience; In this paper we present an exploratory study on the kind of questions or difficulties lecturers point out at the beginning of an educational course – to be addressed in it. These questions happen to be very general and are poorly connected to the knowledge to be taught. We suggest a twofold interpretation of this phenomenon. On the one hand, and in the line of the didactic transposition theory, teachers do not allow themselves to raise questions about the knowledge that is supposed to be their main field of expertise. On the other hand, the prevailing institutional pedagogy does not provide teachers with a fruitful enough conceptual frame to formulate this kind of q…

A perspective on the contribution of Paul Mansion (1844-1919) to mathematical research

2020

Student Partners in Task Design in a computer medium to promote Foundation students' learning of mathematics

2018

International audience; A team consisting of three mathematics education teacher-researchers, four former Foundation students (called Student Partners, SPs), and two analytic assistants worked together to produce mathematical tasks in a computer medium for the mathematical learning of current Foundation students (FSs). We have explored the collaboration between the SPs and researchers, the processes and outcomes of task design, and the contribution of the collaboration to tutorial teaching of FSs. We seek insight into the learning of all concerned of mathematics, mathematics teaching, task design and personal-professional development. The project is ongoing. Here we introduce the project an…

On the Leibniz bracket, the Schouten bracket and the Laplacian

2003

International audience; The Leibniz bracket of an operator on a (graded) algebra is defined and some of its properties are studied. A basic theorem relating the Leibniz bracket of the commutator of two operators to the Leibniz bracket of them is obtained. Under some natural conditions, the Leibniz bracket gives rise to a (graded) Lie algebra structure. In particular, those algebras generated by the Leibniz bracket of the divergence and the Laplacian operators on the exterior algebra are considered, and the expression of the Laplacian for the product of two functions is generalized for arbitrary exterior forms.

A comparison between paper and pencil and computer based assessment

2015

International audience; In this study, we describe two tools designed for comparing paper and computer assessment modalities: a " comparison table " to control migratory process from paper to computer modality and vice versa and a " grid for observation of students " to codify students' behaviours in solving process.

Student use of resources in Calculus and Linear Algebra

2018

International audience; In this study we have investigated the resources used by first year engineering students in a technical university in the Netherlands, for their learning of Calculus and Linear Algebra. Using a case study approach we have focused on how the resources and their use (a) differed from upper secondary school as compared to university, and (b) differed between the two university courses. The results indicate that, in terms of (a) students built on secondary school experiences and emulated these into their university courses, where some subsequently experienced difficulties. In terms of (b), we argue that the course organization and the alignment of curriculum materials wi…

Reversing arrows: Duality

2021

What do you get reversing all arrows? The drawing ‘Duality’ is an homage to mirrors, classical art themes, and abstract mathematics.I’m looking for beauty in the arts and beauty in science. It’s a ...

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.

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.