Éditeur(s) : HAL CCSD BioMed Central
Résumé : International audience
INTRODUCTION: In order to study social health inequalities, contextual (or ecologic) data may constitute an appropriate alternative to individual socioeconomic characteristics. Indices can be used to summarize the multiple dimensions of the neighborhood socioeconomic status. This work proposes a statistical procedure to create a neighborhood socioeconomic index. METHODS: The study setting is composed of three French urban areas. Socioeconomic data at the census block scale come from the 1999 census. Successive principal components analyses are used to select variables and create the index. Both metropolitan area-specific and global indices are tested and compared. Socioeconomic categories are drawn with hierarchical clustering as a reference to determine "optimal" thresholds able to create categories along a one-dimensional index. RESULTS: Among the twenty variables finally selected in the index, 15 are common to the three metropolitan areas. The index explains at least 57% of the variance of these variables in each metropolitan area, with a contribution of more than 80% of the 15 common variables. CONCLUSIONS: The proposed procedure is statistically justified and robust. It can be applied to multiple geographical areas or socioeconomic variables and provides meaningful information to public health bodies. We highlight the importance of the classification method. We propose an R package in order to use this procedure.
ISSN: 1475-9276

inserm-00809310
http://www.hal.inserm.fr/inserm-00809310
http://www.hal.inserm.fr/inserm-00809310/document
http://www.hal.inserm.fr/inserm-00809310/file/1475-9276-12-21.pdf
DOI : 10.1186/1475-9276-12-21

Éditeur(s) : HAL CCSD
Résumé : Structure elucidation of unknown compounds has been the task of natural products chemists for a long time and their approach seems to be the most efficient when it comes to identification. Very recently, Kokkotou et al. proposed a work-flow based on an integrative approach for new metabolite identification. This approach, including prediction of 2D NMR HSQC spectra, demonstrated the necessity for implementation of new algorithms leading to the prediction of 2D NMR spectra. Herein we present a method based on both quantum mechanics (QM) and Hierarchical Organisation of Spherical Environments (HOSE) of the prediction 2D NMR spectra.
https://hal.archives-ouvertes.fr/hal-01416667

hal-01416667
https://hal.archives-ouvertes.fr/hal-01416667
https://hal.archives-ouvertes.fr/hal-01416667/document
https://hal.archives-ouvertes.fr/hal-01416667/file/MRC_v1.pdf

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
Due to their geographic location and traditional diet, rich in seafood and marine mammals, the Inuit living in Arctic Quebec are exposed to high amounts of pollutants, including organochlorine pesticides (OCPs). While the adverse developmental effects of these pesticides on child cognitive functions are well known, the effects of developmental exposure to OP on sensory processes have not been investigated. The aim of this longitudinal study was to assess the effects of prenatal and childhood exposure to 1,1,1-trichloro-2,2-bis(p-chlorophenyl)ethane (p,p'-DDT) and its major metabolite 1,1,-dichloro-2,2-bis(p-chlorophenyl)ethylene (p,p'-DDE), on visual processing in Inuit children in Nunavik (Arctic Québec). p,p'-DDT and p,p'-DDE concentrations were determined from umbilical cord and 5- and 11-year plasma samples. Visual evoked potentials (VEPs) were successfully recorded in 150 children at 4 contrast levels (95%, 30%, 12%, and 4%). Hierarchical multiple regressions were conducted to determine the association between p,p'-DDT, or p,p'-DDE, exposure and VEPs while controlling for the effects of various confounders, including fish nutrients and other contaminants. p,p'-DDE measured in umbilical cord plasma was significantly related to the amplitude of the N150 response at the lowest contrast (4%). In addition, 5-year p,p'-DDE plasma concentration was significantly associated with decreased N75 amplitude. These findings indicate that p,p'-DDE exposure, both pre- and postnatally, during early childhood is associated with visual processing impairment later in life.
ISSN: 0161-813X

hal-01061309
https://hal-univ-rennes1.archives-ouvertes.fr/hal-01061309
https://hal-univ-rennes1.archives-ouvertes.fr/hal-01061309/document
https://hal-univ-rennes1.archives-ouvertes.fr/hal-01061309/file/Prenatal_and_5-year-NEUTOX-D-13-00192R2_v4.pdf
DOI : 10.1016/j.neuro.2014.04.009

Éditeur(s) : HAL CCSD Institut d'Histoire de la Révolution française
Résumé : International audience
At the peak of the second colonial Empire, citizenship there has three essential characteristics: it is fragmented by diverse forms of hierarchisation of the electorate ; it is reserved solely for nationals of the colonial Empire, the French and natives within a differentiated conception of nationality ; it is marked by the idea of civilisation. This situation came about in several stages: in 1978, specific citizenship is devised to civilise the newly freed; between 1848 and 1870, in Algeria there is some experimentation with local citizenship for the French, foreigners and natives, but this was abandoned; between 1870 and 1898, local citizenship is devised, expanded to include national elections for the natives of French India, whilst with the Algerian financial delegations, the “representation of interests” is accompanied by French citizenship without the right to participate in local elections.
Dans le second Empire colonial à son apogée, la citoyenneté a trois caractéristiques essentielles : elle est fragmentée par diverses formes de hiérarchisation quant à l’électorat ; elle est réservée aux seuls ressortissants de l’Empire colonial, les Français et les indigènes, dans le cadre d’une conception différenciée de la nationalité ; elle est marquée par l’idée de civilisation. Cette situation est née en plusieurs étapes : en 1798, on conçoit une citoyenneté spécifique pour civiliser les nouveaux libres ; entre 1848 et 1870, en Algérie, on expérimente puis abandonne une citoyenneté locale pour les Français, les étrangers et les indigènes ; entre 1870 et 1898, on conçoit une citoyenneté locale élargie aux élections nationales pour les natifs de l’Inde française, alors qu’avec les délégations financières algériennes, la « représentation des intérêts » s’accompagne d’une citoyenneté française amputée du droit de participer à une élection locale.
ISSN: 2105-2557

hal-01620584
https://hal.archives-ouvertes.fr/hal-01620584
DOI : 10.4000/lrf.1460

Éditeur(s) : HAL CCSD Wiley-Blackwell
Résumé : International audience
The spatio‐temporal dynamics of disease spread provide an area of acute scientific interest but substantial analytic challenges. Analytic approaches need to draw from current knowledge of disease systems yet be flexible enough to provide targeted inference without restrictive assumptions. We explore this balance in detail with respect to the observed pattern of spread of sugarcane yellow leaf virus, the causal agent of yellow leaf disease. This disease affects cultivated sugarcane plants and spreads via an aphid vector (Melanaphis sacchari). The system is of considerable economic interest, but presents several analytic complications. First, the plants begin as well separated individuals that grow into large plants with overlapping leaf canopies enabling increased vector access between neighbouring plants. The overlap between neighbouring plants first occurs within rows and then extends between rows, presenting another interesting spatial component to consider when modelling the propagation of infection. Second, the vector initially flies between plants but at some point sheds wings and shifts to walking between plants. We are particularly interested in how these two features of the system and their interrelation may impact the spatial spread of disease over time. In addition, we also explore the impact of potential immigration of infected vectors from outside of the study area. We treat our observed cane field as a spatial grid with regular spacing between rows and smaller spacing within rows. Our data consist of observed disease status of each of 1643 plants at each of six time points. We provide descriptive summaries of the temporal evolution of spatial pattern in infection, then propose hierarchical models to describe the pattern and capture the influence of the ecological and environmental factors listed above.
ISSN: 0143-9782

hal-00684235
https://hal.archives-ouvertes.fr/hal-00684235

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
We build a class of codes using hermitian forms and the functional trace code. Then we give a general expression of the r-th minimum distance of our code and compute general bounds for the weight hierarchy by using exponential sums. We also get the minimum distance and calculate the r-th generalized Hamming weight dr in some special cases.
ISSN: 1071-5797

hal-00771922
https://hal.univ-antilles.fr/hal-00771922

Éditeur(s) : HAL CCSD EDP Sciences
Résumé : International audience
In this work, we point out and apply some ideas for the numerical simulation by multi- level schemes of several wave equations including dispersive (Korteweg de Vries) and dissipative ones (Kuramoto-Sivashinski). We start from the approach developed for dissipative equations decomposing the solution into large (Y) and small (Z) scales, and we show that it is necessary to have a regularization in time to allow stable numerical treatment of Y and Z which are here generated using hierarchical processes such as Wavelets, Incremental Unknowns or Fourier.
ISSN: 1270-900X

hal-00768332
https://hal.archives-ouvertes.fr/hal-00768332
https://hal.archives-ouvertes.fr/hal-00768332/document
https://hal.archives-ouvertes.fr/hal-00768332/file/esaim_proc_2009_v27.pdf

Éditeur(s) : HAL CCSD
Résumé : In an earlier paper, we developed an efficient incremental unknowns (IU) preconditioner for solving the two-dimensional (2D) Helmholtz problem in both high and low frequency (wavenumber) regimes. The multilevel preconditioning scheme involves separation of each grid into a coarser grid of the following level and a complementary grid on which the IUs are defined by interpolation. This approach is efficient as long as the mesh size of the coarsest grid is sufficiently small compared to the wavelength. In order to overcome this restriction, the authors introduced recently a modified IU method combining the conventional interpolation with the Helmholtz equation based interpolation (EBI). The EBI coefficients are derived numerically using a sufficiently large set of analytic solutions of the Helmholtz equation on a special hierarchy of stencils. The modified IUs using Helmholtz EBI are shown to provide improved preconditioning on the coarse scales where the conventional interpolation can not be employed. This study deals with the extension of this idea for solving the three-dimensional (3D) Helmholtz equation.
https://hal.univ-antilles.fr/hal-00763930

Droits : info:eu-repo/semantics/OpenAccess
hal-00763930
https://hal.univ-antilles.fr/hal-00763930
https://hal.univ-antilles.fr/hal-00763930/document
https://hal.univ-antilles.fr/hal-00763930/file/eci3D_3d.pdf

Résumé : De type parabolique et soumis à l’action d’un couple de contrôles (h, k) où h et k jouent des rôles différents ; le contrôle k étant de type "contrôlabilité" et h de type "contrôle optimal".Il est alors naturel de considérer un problème d’optimisation multi-critères. Il existe plusieurs façons d’étudier de tels problèmes. Nous proposons, dans cette thèse, le contrôle de Stackelberg. Il s’agit d’une notion d’optimisation hiérarchique avec, ici, h qui est le "Leader" et k le "Follower".
In this thesis, we are interested in evolution problems governed by parabolic equations subjected to the action of a pair of controls (h, k) where h and k play different roles : the control k being of "controllability" type and h of "optimal control" type.It is then natural to consider a multi-criteria optimization problem. There are several ways to study such problems. We propose in this thesis, the Stackelberg control which is a notion of hierarchical optimization with here, h which is the "Leader" and k the "Follower".

http://www.theses.fr/2014AGUY0805/document

Éditeur(s) : HAL CCSD BioMed Central
Résumé : International audience
Introduction In order to study social health inequalities, contextual (or ecologic) data may constitute an appropriate alternative to individual socioeconomic characteristics. Indices can be used to summarize the multiple dimensions of the neighborhood socioeconomic status. This work proposes a statistical procedure to create a neighborhood socioeconomic index. Methods The study setting is composed of three French urban areas. Socioeconomic data at the census block scale come from the 1999 census. Successive principal components analyses are used to select variables and create the index. Both metropolitan area-specific and global indices are tested and compared. Socioeconomic categories are drawn with hierarchical clustering as a reference to determine "optimal" thresholds able to create categories along a one-dimensional index. Results Among the twenty variables finally selected in the index, 15 are common to the three metropolitan areas. The index explains at least 57% of the variance of these variables in each metropolitan area, with a contribution of more than 80% of the 15 common variables. Conclusions The proposed procedure is statistically justified and robust. It can be applied to multiple geographical areas or socioeconomic variables and provides meaningful information to public health bodies. We highlight the importance of the classification method. We propose an R package in order to use this procedure.
International Journal for Equity in Health

hal-00854028
https://hal.archives-ouvertes.fr/hal-00854028
https://hal.archives-ouvertes.fr/hal-00854028/document
DOI : 10.1186/1475-9276-12-21

Éditeur(s) : HAL CCSD Cambridge University Press (CUP)
Résumé :  
Although the potential contribution to tropical tree species coexistence of niche differentiation along light gradients has receivedmuch attention, the degree to which species perform differentially along soil resource gradients remains unclear. To examine differential growth response to soil resources, we grew seedlings of nine tropical tree species at 6.0% of full sun for 12mo in a factorial design of two soil types (clay and white sand), two phosphate fertilization treatments (control and addition of 100mgP kg−1) and two watering treatments (field capacity and water limitation to one-third field capacity). Species differedmarkedly in biomass growth rate, but this hierarchy was almost completely conserved across all eight treatments. All species grew more slowly in sand than clay soils, and no species grew faster with phosphate additions. Only Eperua grandiflora and E. falcata showed significant growth increases in the absence of water limitation. Faster-growing species were characterized by high specific leaf area, high leaf allocation and high net assimilation rate but not lower root allocation. Slower-growing species exhibited greater plasticity in net assimilation rate, suggesting that tolerance of edaphic stress in these species is related more to stomatal control than to whole-plant carbon allocation. Although relative growth rate for biomass was correlatedwith both its physiological and morphological components, interspecific differences were best explained by differences in net assimilation rate across six of the eight treatments. A suite of traits including high assimilation and high specific leaf area maintains rapid growth rate of faster-growing species across awide gradient of soil resources, but the lack of plasticity they exhibit may compromise their survival in the poorest soil environments.
ISSN: 0266-4674

hal-01032086
https://hal.archives-ouvertes.fr/hal-01032086
DOI : 10.1017/S0266467406003439

Éditeur(s) : HAL CCSD
Résumé : International audience
Vulnerability–resilience indexes fail to grasp all dimensions of sustainability, whereas sustainable development has gained momentum. We fill this gap with a hierarchical multimetric composite index (Net Vulnerability Resilience Index: NVRI) whose robustness relies on a mathematical algorithm based on graph theory. A worldwide application shows that (i) both vulnerability and resilience are policy-responsive and that (ii) there is no determinism for a country to remain vulnerable or resilient. The NVRI enables us to identify a country’s strengths and weaknesses and determine the policy orientations that should be implemented to achieve sustainability.
World Development

hal-01291345
https://hal.archives-ouvertes.fr/hal-01291345
DOI : 10.1016/j.worlddev.2015.02.011

Éditeur(s) : HAL CCSD Elsevier
Résumé :  
Tree species-rich tropical rainforests are characterized by a highly variable quality of leaf litter input to the soil at small spatial scales. This diverse plant litter is a major source of energy and nutrients for soil microorganisms, particularly in rainforests developed on old and nutrient-impoverished soils. Here we tested the hypothesis that the variability in leaf litter quality produced by a highly diverse tree community determines the spatial variability of the microbial respiration process in the underlying soil. We analyzed a total of 225 litter-soil pairs from an undisturbed Amazonian rainforest in French Guiana using a hierarchical sampling design. The microbial respiration process was assessed using substrateinduced respiration (SIR) and compared to a wide range of quality parameters of the associated litter layer (litter nutrients, carbon forms, stoichiometry, litter mass and pH). The results show that the variability of both litter quality and SIR rates was more important at large than at small scales. SIR rates varied between 1.1 and 4.0 mg g_1 h_1 and were significantly correlated with litter layer quality (up to 50% of the variability explained by the best mixed linear model). Total litter P content was the individual most important factor explaining the observed spatial variation in soil SIR, with higher rates associated to high litter P. SIR rates also correlated positively with total litter N content and with increasing proportions of labile C compounds. However, contrary to our expectation, SIR rates were not related to litter stoichiometry. These data suggest that in the studied Amazonian rainforest, tree canopy composition is an important driver of the microbial respiration process via leaf litter fall, resulting in potentially strong plant-soil feedbacks. .
ISSN: 0038-0717

hal-01032139
https://hal.archives-ouvertes.fr/hal-01032139
DOI : 10.1016/j.soilbio.2011.01.018

Éditeur(s) : HAL CCSD BMJ Publishing Group
Résumé : International audience
OBJECTIVES: Social position and social mobility are associated with cancer incidence and mortality, yet little is known about their association with mediating factors such as occupational exposures to carcinogens. Our aim was to assess the association between the type of professional trajectory and multiple occupational exposure profiles. METHOD: Data were extracted from the Giscop93 study (n = 1 009), which is a cohort of cancer patients with (mainly) respiratory tumours. Job histories were reconstructed through interview, then a multi-disciplinary expert group examined the probability of occupational exposure to a list of 54 potentially carcinogenic agents. The typology of professional trajectories was built based on employment stability, employment continuity, job qualification trend, and multiple skills through Multiple Correspondence Analysis followed by Ascending Hierarchical Classification. Association with multiple-exposure profiles was then assessed through multiple logistic regression. RESULTS: Men and women differed in terms of predominant job category over the lifecourse (68,2% of blue-collar-workers among men, 57,3% of employees among women, p extless 0.0001). Professional trajectories were grouped in four classes as "stable qualified, employee" (21,3%), "stable manual, independent blue-collar-worker" (24,4%), "stable tiring, no gain in qualification" (30,5%), and "very unstable, precarious" (23,8%). Among men, the last two categories were associated with exposure to at least five different occupational carcinogens (ORstable_tiring/stable_qualified=2,0 [1,3;3,1], ORvery_unstable/stable_qualified=2,6 [1,6;4,2]). No such association was found among women. CONCLUSIONS: The association found between the type of professional trajectory and multiple occupational exposures among men should be replicated among people not suffering cancer. Forthcoming analysis will investigate the gendered differences observed.
ISSN: 1351-0711

hal-01063899
https://hal.archives-ouvertes.fr/hal-01063899
DOI : 10.1136/oemed-2014-102362.266

Éditeur(s) : HAL CCSD Scientific Research Publishing
Résumé : International audience
In order to study social inequalities, indices can be used to summarize the multiple dimensions of the socioeconomic status. As a part of the Equit'Area Project, a public health program focused on social and environmental health inequalities; a statistical procedure to create (neighborhood) socioeconomic indices was developed. This procedure uses successive principal components analyses to select variables and create the index. In order to simplify the application of the procedure for non-specialists, the R package SesIndexCreatoR was created. It allows the creation of the index with all the possible options of the procedure, the classification of the resulting index in categories using several classical methods, the visualization of the results, and the generation of automatic reports.
ISSN: 2161-718X

hal-01161775
https://hal.archives-ouvertes.fr/hal-01161775
https://hal.archives-ouvertes.fr/hal-01161775/document
https://hal.archives-ouvertes.fr/hal-01161775/file/OJS_2015060814030742.pdf
DOI : 10.4236/ojs.2015.54031

Éditeur(s) : HAL CCSD Elsevier
Résumé : This manuscript is an extended version, including an updated bibliography, of the article: Hierarchical cooperativity mediated by chromatin remodeling; the model of the MMTV transcription regulation. Michel, D. 2011. J. Theor. Biol. 287, 74-81
International audience
Chromatin remodeling machineries are abundant and diverse in eukaryotic cells. They have been involved in a variety of situations such as histone exchange and DNA repair, but their importance in gene expression remains unclear. Although the influence of nucleosome position on the regulation of gene expression is generally envisioned under the quasi-equilibrium perspective, it is proposed that given the ATP-dependence of chro-matin remodeling enzymes, certain mechanisms necessitate non-equilibrium treatments. Examination of the celebrated chromatin remodeling system of the mouse mammary tumor virus, in which the binding of transcription factors opens the way to other ones, reveals that breaking equilibrium offers a subtle mode of transcription factor cooperativity, avoids molecular trapping phenomena and allows to reconcile previously conflicting experimental data. This mechanism provides a control lever of promoter responsiveness to transcription factor combinations, challenging the classical view of the unilateral influence of pioneer on secondary transcription factors.
ISSN: 0022-5193

hal-01211233
https://hal.archives-ouvertes.fr/hal-01211233
https://hal.archives-ouvertes.fr/hal-01211233/document
https://hal.archives-ouvertes.fr/hal-01211233/file/nucleosome.pdf
ARXIV : 1509.07440

Éditeur(s) : HAL CCSD
Résumé : International audience
The hierarchical architecture of biopolymers induces remarkable behaviour. Wood mechanical properties mainly originate from the organization of wood tissue and interactions of cellwall components. The respective contribution on components inside those networks occurs at nanometric scale and still challenging to investigate in-situ. X-ray scattering techniques are now used as a routine technique to investigate internal organization of material components. For that purpose large-scale synchrotron facilities like ESRF offer leading X-ray sources capabilities (large energy range, high brilliance, high intensity, dedicated setups). ESRF's ID13 beamline serves high spacial resolution scanning setups to expertise in elastic scattering of monochromatic X-rays. Since analytical description of the scattering signal of cellulose have been well describe wood material benefit wide range of exposure conditions and sample environment. During this conference, we will present our achievements based on transverse sections of poplar specimens exposed to micrometric beam (1.2 μm side, 12.6 keV energy) to reveal crystalline cellulose distribution within wood tissue and to nanometric beam (100 nm side, 12 6 keV energy) to map the evolution of cellulose orientation within double cell wall over combined Wide-Angle (WAXS) and Small-Angle (SAXS) X-ray Scattering configuration. Within those setups hygrometric sample environment and stretching solicitations will be approached based on-going developments.
COST FP0802 Workshop 'Micro Characterisation of Wood Material'
Edimbourg, United Kingdom

hal-01113298
https://hal.archives-ouvertes.fr/hal-01113298

Éditeur(s) : HAL CCSD Springer Verlag
Résumé : International audience
In France, reducing social health inequalities has become an explicit goal of health policies over the past few years, one of its objectives is specifically the reduction of the perinatal mortality rate. This study investigates the association between infant mortality and social deprivation categories at a small area level in the Lille metropolitan area, in the north of France, to identify census blocks where public authorities should prioritize appropriate preventive actions. We used census data to establish a neighbourhood deprivation index whose multiple dimensions encompass socioeconomic characteristics. Infant mortality data were obtained from the Lille metropolitan area municipalities to estimate a death rate at the census tract level. We used Bayesian hierarchical models in order to reduce the extra variability when computing relative risks (RR) and to assess the associations between infant mortality and deprivation. Between 2000 and 2009, 668 cases of infant death occurred in the Lille metropolitan area (4.2 per 1,000 live births). The socioeconomic status is associated with infant mortality, with a clear gradient of risk from the most privileged census blocks to the most deprived ones (RR = 2.62, 95 % confidence interval [1.87; 3.70]). The latter have 24.6 % of families who were single parents and 29.9 % of unemployed people in the labor force versus 8.5 % and 7.7 % in the former. Our study reveals socio-spatial disparities in infant mortality in the Lille metropolitan area and highlights the census blocks most affected by the inequalities. Fine spatial analysis may help inform the design of preventive policies tailored to the characteristics of the local communities.
ISSN: 1092-7875

hal-00876255
https://hal.archives-ouvertes.fr/hal-00876255
DOI : 10.1007/s10995-013-1251-8
PUBMED : 23479336

Éditeur(s) : HAL CCSD
Résumé : 17 pages
We look at the number of solutions of an equation of the form f_1*f_2*...*f_k=a in a finite field, where each f_i is a multilinear polynomial. We use two methods to construct a solution of this problem for the cases a=0, a<>0, and we generally get a semi-explicit formula. We show that this formula can generate a more efficient algorithm than the traditional algorithm which consists to make a systematic computation. We also give explicit formulas in some special cases, and an application of our main result to the search of the weight hierarchy of the multilinear code with separated variables.
https://hal.univ-antilles.fr/hal-00772478

hal-00772478
https://hal.univ-antilles.fr/hal-00772478
ARXIV : math.NT/0603057

Éditeur(s) : HAL CCSD
Résumé : International audience
The mathematical site of an exercise or a theorem is a useful tool which helps to organize its study, by putting into a hierarchy the various elements (substratum, objects, techniques, technologies) relevant to describe its ecosystem. These characteristics of the mathematical site turn it into a help for the pupil or student (within the framework of an evaluation in mathematics), what we show by the analysis in term of site of a subject given in the competitive ex-amination for secondary school teaching (CAPES) in mathematics. Furthermore, by revealing the organization of a mathematical concept, we show that the site can be a tool for professional training of teachers of mathematics, on the example of the characterization of a constant function on an interval by its derivative.
Le site mathématique local d’un énoncé d’exercice ou d’un théorème de cours se compose d’un système d’êtres mathématiques (objets, techniques, technologies…) et de relations, enrichis par un substrat, formé d’éléments non mathématisables dans l’institution considérée, dévoilant l’organisation de la question. Ces caractéristiques font que le site local fonctionne comme un écosystème, permettant la compréhension d’activités mathématiques de classe, d’évaluation, ce que nous montrons par l’analyse d’un dossier d’oral 2 du CAPES externe de mathématiques. Ce faisant, il devient un outil du professeur pour guider les élèves dans l’étude d’une question. De plus, comme il révèle les organisations locales en mathématiques, le site peut être utilisé comme un outil de formation professionnelle d’enseignants. Par exemple, il permet de questionner les progressions scolaires ou universitaires reçues, ce que nous discutons sur le cas de la caractérisation d’une fonction constante sur un intervalle par sa dérivée.
Repères IREM

hal-01530861
https://hal.univ-antilles.fr/hal-01530861