Search results for "overview"

Does using a visual-representation tool foster students’ ability to identify forces and construct free-body diagrams?

2013

Earlier research has shown that after physics instruction, many students have difficulties with the force concept, and with constructing free-body diagrams (FBDs). It has been suggested that treating forces as interactions could help students to identify forces as well as to construct the correct FBDs. While there is evidence that identifying interactions helps students in quantitative problem solving, there is no previous research investigating the effect of a visual-representation tool—an interaction diagram (ID)—on students’ ability to identify forces, and to construct the correct FBDs.We present an empirical study conducted in 11 Finnish high schools on students (n ¼ 335, aged 16) takin…

Une lettre de Joseph Boussinesq à Robert de Montessus de Ballore, 1908

2020

(travail en cours, 2020)

A study of transitions in an undergraduate mathematics program

2018

International audience; In this paper, we introduce an in-progress study of the transitions students face as they advance in their mathematics courses. Previous work has discussed the changes that occur in the transition from high school to university. With regards to the knowledge students are expected to learn, however, significant similarities have been noted: to do well in introductory university courses, students can learn to solve a particular subset of tasks through routinized techniques, with limited awareness of the supporting mathematical theory. In contrast, students in advanced courses are required to work with and on that theory. The first stage of our project aims to better un…

Learning About Forces Using Multiple Representations

2017

We present two research-based interventions to measure upper secondary student learning of forces using multiple representations (MRs). The first intervention is the Representational Variant of the Force Concept Inventory (R-FCI) – a multiple-choice test for evaluating students’ representational consistency in answering triplets of isomorphic items in the context of forces. The second intervention is an interaction diagram (ID) – a visual representation that helps students to identify forces resulting from interactions between two objects. Students’ representational consistency on the R-FCI pre-test correlated with their normalised learning gain on the Force Concept Inventory (FCI) suggesti…

Résolutions approchées d'équations polynomiales : comment les travaux précurseurs de Hoëné Wronski ont été perçus par Robert de Montessus au début du…

2019

Historical Origins of the nine-point conic -- The Contribution of Eugenio Beltrami

2020

In this paper, we examine the evolution of a specific mathematical problem, i.e. the nine-point conic, a generalisation of the nine-point circle due to Steiner. We will follow this evolution from Steiner to the Neapolitan school (Trudi and Battaglini) and finally to the contribution of Beltrami that closed this journey, at least from a mathematical point of view (scholars of elementary geometry, in fact, will continue to resume the problem from the second half of the 19th to the beginning of the 20th century). We believe that such evolution may indicate the steady development of the mathematical methods from Euclidean metric to projective, and finally, with Beltrami, with the use of quadrat…

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…

The use of integrals in Mechanics of Materials textbooks for engineering students: the case of the first moment of an area

2018

International audience; Research has reported on the difficulties engineering students face in relating the content of their mathematics courses to what is taught in their professional courses. One way to address these difficulties is by better understanding how mathematical notions are used in professional engineering courses. This paper analyses how the notion of first moment of an area – which is defined as an integral – is used in civil engineering courses. Basing our analysis on elements from the anthropological theory of the didactic, we are currently analysing a classic Mechanics of Materials book. Our findings indicate that although first moments are introduced as an integral, the t…

A? * algebra of pseudodifferential operators on noncompact manifolds

1988

On montre qu'une classe d'operateurs pseudodifferentiels d'ordre zero a la propriete d'invariance spectrale

Cosmological Applications of Extended Electromagnetism

2013

Extended electromagnetism (EE) has been applied to cosmology in various papers. In all of them, the zero order energy density of the EE vector field plays the same role as vacuum energy. Perturbations of this field have been studied by using different approaches. Firstly, some basic equations and ideas are summarized and, then, the CMBFAST code is used to calculate the cosmic microwave background angular power spectrum for appropriate values of the EE parameters. Comparisons of the resulting spectra with a good observational one compatible with WMAP7 (Wilkinson map anisotropy probe 7 years data) seem to be promising. We are currently looking for a set of parameters leading to the best fitti…