Resolució de problemes i mètode de raonament en l'educació matemàtica

Des del principi dels temps històrics, la Matemàtica s'ha generat en totes les civilitzacions sobre la base de la resolució de problemes pràctics.Tanmateix, a partir del període grec la Història ens mostra la necessitat de fer un pas més endavant: l'evolució històrica de la Matemàtica situa els mètodes de raonament com a eix central de la recerca en Matemàtica. A partir d'una ullada als objectius i mètodes de treball d'alguns autors cabdals en la Història dels conceptes matemàtics postulem l'aprenentatge de les formes de raonament matemàtic com l'objectiu central de l'educació matemàtica, i la resolució de problemes com el mitjà més eficient per a coronar aquest objectiu.English version.From the beginning of the historical times, mathematics has been generated in all the civilizations on the base of the resolution of practical problems. Nevertheless, from the greek period History shows us the necessity to take one more step: the historical evolution of mathematics locates the methods of reasoning as the central axis of the research in mathematics. Glancing over the objectives and methods of work used bysome fundamental authors in the History of the mathematical concepts we postulated the learning of the forms of mathematical reasoning like the central objective of the mathematical education, and the resolution of problems as the most efficient way to carry out this objective.

Levantamento das espécies de Simulium (Diptera, Simuliidae), Riacho dos Padres, município de Almirante Tamandaré, Paraná, Brasil

De janeiro a agosto de 2002, quinzenalmente, foi levada a efeito a coleta de simulídeos imaturos em substratos naturais e antrópicos no Riacho dos Padres. O trabalho visou proceder ao inventário das espécies e verificar as freqüências relativas. A área de propriedade particular localizada na Região Metropolitana de Curitiba constitui uma microempresa de agronegócio, com criação de peixes, coelhos, ovinos, bovinos, aves domésticas e, ainda, área de lazer com eqüinos para cavalgada de visitantes. A presença constante de animais hospedeiros e a ração fornecida aos peixes garantiram farta alimentação aos simulídeos, o que favoreceu a explosão desta praga. Em todos os substratos foram coletadas 24.021 pupas e um total de 197.812 larvas. A partir de pupas, foram identificadas com as seguintes freqüências: Simulium inaequale (55,24%), Simulium perflavum (16,81%), Simulium pertinax (13,93%), Simulium orbitale (8,03%), Simulium subnigrum (4,92%), Simulium distinctum (1,03%) e Simulium incrustatum (0,04%). Verificou-se também a quantidade de larvas que colonizaram todos os substratos.

Markers of atherosclerosis and inflammation for prediction of coronary heart disease in older adults.

Although both inflammatory and atherosclerosis markers have been associated with coronary heart disease (CHD) risk, data directly comparing their predictive value are limited. The authors compared the value of 2 atherosclerosis markers (ankle-arm index (AAI) and aortic pulse wave velocity (aPWV)) and 3 inflammatory markers (C-reactive protein (CRP), interleukin-6 (IL-6), and tumor necrosis factor-alpha (TNF-alpha)) in predicting CHD events. Among 2,191 adults aged 70-79 years at baseline (1997-1998) from the Health, Aging, and Body Composition Study cohort, the authors examined adjudicated incident myocardial infarction or CHD death ("hard" events) and "hard" events plus hospitalization for angina or coronary revascularization (total CHD events). During 8 years of follow-up between 1997-1998 and June 2007, 351 participants developed total CHD events (197 "hard" events). IL-6 (highest quartile vs. lowest: hazard ratio = 1.82, 95% confidence interval: 1.33, 2.49; P-trend < 0.001) and AAI (AAI </= 0.9 vs. AAI 1.01-1.30: hazard ratio = 1.57, 95% confidence interval: 1.14, 2.18) predicted CHD events above traditional risk factors and modestly improved global measures of predictive accuracy. CRP, TNF-alpha, and aPWV had weaker associations. IL-6 and AAI accurately reclassified 6.6% and 3.3% of participants, respectively (P's </= 0.05). Results were similar for "hard" CHD, with higher reclassification rates for AAI. IL-6 and AAI are associated with future CHD events beyond traditional risk factors and modestly improve risk prediction in older adults.

High prevalence of major cardiovascular risk factors in first-degree relatives of individuals with familial premature coronary artery disease--the GENECARD project.

BACKGROUND: Hypertension, hypercholesterolemia, obesity and smoking are highly prevalent among patients with familial premature coronary artery disease (FP-CAD). Whether these risk factors equally affect other family members remains unknown. METHODS: We examined 222 FP-CAD patients, 158 unaffected sibs, 197 offspring and 94 spouses in 108 FP-CAD families (> or = 2 sibs having survived CAD diagnosed before age 51 (M)/56 (F)), and compared them to population controls. RESULTS: Unaffected sibs had a higher prevalence of hypertension (49% versus 24%, p<0.001), hypercholesterolemia (47% versus 34%, p=0.002), abdominal obesity (35% versus 24%, p=0.006) and smoking (39% versus 24%, p=0.001) than population controls. Offspring had a higher prevalence of hypertension (females), hypercholesterolemia and abdominal obesity than population controls. No difference was observed between spouses and controls. Compared to unaffected sibs, FP-CAD affected sibs had a similar risk factor profile, except for smoking, which was more prevalent (76% versus 39%, p=0.008). CONCLUSIONS: Hypertension, obesity and hypercholesterolemia are highly prevalent among first-degree relatives, but not spouses, of patients with FP-CAD. These persons deserve special medical attention due to their familial/genetic susceptibility to atherogenic metabolic abnormalities. In these families, smoking may be the trigger for FP-CAD.

Helsinki 21.3.1932

Kirje

Terrestrial arthropods from tree canopies in the Pantanal of Mato Grosso, Brazil

Terrestrial arthropods from tree canopies in the Pantanal of Mato Grosso, Brazil. This study represents a contribution to the knowledge of the diversity of arthropods associated to the canopy of Vochysia divergens Pohl (Vochysiaceae). Three trees individuals were sampled during two seasonal periods in this region: a) by spraying one tree canopy during high water (February); b) by fogging two tree canopies during low water (September/October). The 15,744 arthropods (183.2±38.9 individuals/m²) obtained from all three trees (86 m²) represented 20 taxonomic orders, 87.1% were Insecta, and 12.9% Arachnida. The dominant groups were Hymenoptera (48.5%; 88.9 individuals/m²), mostly Formicidae (44.5%; 81.4 individuals/m²), followed by Coleoptera (14.0%; 25.5 individuals/m²) and Araneae (10.2%; 19.5 individuals/m²), together representing 62.5% of the total catch. Fourteen (70%) of all orders occurred on three trees. Dermaptera, Isoptera, Neuroptera, Odonata, Plecoptera and Trichoptera were collected from only one tree. Of the total, 2,197 adult Coleoptera collected (25.5±11.3 individuals/m²), 99% were assigned to 32 families and 256 morphospecies. Nitidulidae (17.9% of the total catch; 4.6 individuals/m²), Anobiidae (16.7%; 4.3 individuals/m²), Curculionidae (13.2%; 3.4 individuals/m²) and Meloidae (11.4%; 2.9 individuals/m²) dominated. The communitiy of adult Coleoptera on V. divergens indicated a dominance of herbivores (37.8% of the total catch, 127 spp.) and predators (35.2%, 82 spp.), followed by saprophages (16.2%, 32 spp.) and fungivores (10.8%, 15 spp.). The influence of the flood pulse on the community of arboreal arthropods in V. divergens is indicated by the seasonal variation in evaluated groups, causing changes in their structure and composition.

Faire entendre sa voix

Dans une société du consentement, chacun devrait pouvoir exprimer sa voix. Mais tout enfant apprend à parler en faisant usage de la parole des autres. Dans quelle mesure ce que dit le nouveau venu n'est-il pas une pure reproduction de ce que disent ses aînés ? Si chacun a la voix de sa communauté, qu'est-ce que peut bien vouloir dire « liberté d'expression » ? J'aimerais montrer qu'une voix n'est pas quelque chose que l'on a, mais quelque chose que l'on fait entendre au cours d'un apprentissage. Le problème est politique : ma voix est liée à ma place dans une communauté. In a society of consent, each and everyone should express their own voice. However, a child learns how to speak using the words of the others. To which extent the newcomer isn't just reproducing what his elders say ? If everyone speaks through their community's voice, what does « freedom of speech » mean ? I want to demonstrate that a voice isn't something that one has, it's something that one acquires through education. This is a political problem : my voice is linked to my place in a community.

Senaattori J. William Fulbright 4/12 1974

Kirje 4.12.1974

Kirjailija Juhani Konkka 16/12 1963

Kirje 16.12.1963