Entwicklung und Förderung von Datenkompetenz in den Klassen 1-6

Der vorliegende Band ist unter der Betreuung von Rolf Biehler am Fachbereich Mathematik/Informatik der Universität Kassel als Wissenschaftliche Hausarbeit für das 1. Staatsexamen entstanden. Die Förderung von Datenkompetenz in den Klassen 1 – 6 ist ein in der deutschsprachigen didaktischen Literatur kaum beachtetes Thema. In der vorliegenden Arbeit wird die umfangreiche englischsprachige Literatur zu diesem Thema erschlossen und ausgewertet, um der Fragestellung, wie sich Datenkompetenz entwickelt und wie man diese Entwicklung im Unterricht geeignet fördern kann, nachzugehen. Alle Phasen im Prozess der Datenanalyse werden dabei aufgegriffen: Die Wahl einer Fragestellung und die Erhebung von Daten, die Organisation und graphische Darstellung sowie die Beschreibung und Interpretation von Daten mithilfe statistischer Verfahren. Die innovative Werkzeugsoftware TinkerPlots (http://www.keypress.com/x5715.xml) wird im Hinblick auf die Möglichkeit, Datenkompetenz zu fördern untersucht, und exemplarische Unterrichtsideen werden damit konkretisiert. Intention der Arbeit ist, einen Beitrag dazu zu leisten, dass der Stellenwert von Datenkompetenz in den Klassen 1-6 neu überdacht wird.

Einige Bemerkungen zur Bedeutung von "stoffdidaktischen" Aspekten am Beispiel der Analyse eines Unterrichtsausschnitts in der Arbeit von J. Voigt

By example of an excerpt of a lesson analysed by J. voigt we want to point to the importance of didactic aspects related to topics ("stoffdidaktisehe" Aspekte) in analysing, planning and performing mathematics education.

Dynamische Analyse großer, verkoppelter Systeme mit Methoden der Komplexen Netzwerke am Beispiel des Inverse-Response-Verhaltens

Die zunehmende Vernetzung der Energie-, Stoff- und Informationsströme, z. B. innerhalb von Produktionsanlagen, begründet das Interesse an Methoden, welche eine Analyse der Systemeigenschaften von großen und verkoppelten dynamischen Systemen bereits in einem frühen Entwicklungsstadium ermöglichen. Dabei ist das Gesamtsystemverhalten von Interesse, welches sowohl auf der Dynamik der Teilsysteme als auch der Verkopplungen beruht. In der vorliegenden Arbeit wird eine neue Methode zur qualitativen Analyse von Systemen auf Inverse-Response-Verhalten vorgestellt. Der Ansatz nutzt Komplexe Netzwerke zur Modellbeschreibung, wobei diese um Kantengewichte ergänzt werden, welche das dynamische Verhalten des modellierten Systems beschreiben. Der vorgestellte Detektionsalgorithmus vergleicht die Pfade des Graphen zwischen den betrachteten Ein- und Ausgängen. Hierfür werden die aggregierten Kantengewichte der Pfade bestimmt und zur Ermittlung der qualitativen Aussage zum Inverse-Response-Verhalten herangezogen. Der Analyseansatz bietet somit eine einfach anwendbare Alternative zur Auswertung der positiven Nullstellen des Systems, welche auf die notwendige sowie hinreichende Bedingung für das Inverse-Response-Verhalten eines linearen Systems zurückgreift: eine ungerade Anzahl positiver Nullstellen. Das entwickelte Verfahren wurde erfolgreich an einer flexibel konfigurierbaren Prozessinsel der Modellfabrik μPlant des Fachgebiets Mess- und Regelungstechnik der Universität Kassel getestet.

Hacia un espacio com??n de ense??anza superior : Uni??n Europea, Am??rica Latina y Caribe (UEALC)

La publicaci??n recoge los resultados del encuentro de expertos que tuvo lugar en Murcia del 10 al 12 de octubre de 2001, organizado por el Ministerio de Educaci??n, Cultura y Deporte y la Universidad de Murcia. Se debatieron propuestas relacionadas con el establecimiento de un espacio com??n de educaci??n superior abordando cuestiones relacionadas con la educaci??n permanente, la detecci??n de las necesidades formativas, instituciones de ense??anza superior, movilidad geogr??fica intereuropea y transoce??nica, difusi??n de conocimientos y experiencias, redes de trabajo y movilidad virtual entre otros.

Am??rica Latina : una realidad no muy lejana

Se celebra el n??mero 50 y ocho a??os de andadura, realizando un an??lisis de la realidad escolar, educativa, social y familiar de 0 a 6 a??os en Iberoam??rica. En el panorama iberoamericano conviven pa??ses muy comprometidos con la educaci??n infantil, con otros con menor tradici??n y posibilidades que est??n iniciando su camino en este terreno. La educaci??n en Iberoam??rica tiene rasgos comunes a la educaci??n infantil espa??ola, entre ellos, en primer lugar se encuentra el sesgo de g??nero, con una omnipresencia de las mujeres en la educaci??n infantil y una exclusi??n casi absoluta de los hombres. En segundo lugar se encuentra la tendencia de una educaci??n infantil subordinada a la educaci??n obligatoria y basada en adelantar contenidos y m??todos de la educaci??n t??picamente escolar, con una lucha entre las tendencias m??s innovadoras y respetuosas con la edad de los ni??os y aquellas m??s tradicionales. Por ??ltimo se encuentra la discrepancia entre el reconocimiento cotidiano de las familias hacia educadoras y la falta de reconocimiento laboral y econ??mico hacia los profesionales que atienden los primeros a??os, especialmente de 0 a 3-4 a??os.

Complexes formed between the quadridentate, heterocyclic molecules 6,6 '-bis-(5,6-dialkyl-1,2,4-triazin-3-yl)-2,2 '-bipyridine (BTBP) and lanthanides(III): implications for the partitioning of actinides(III) and lanthanides(III)

New hydrophobic, tetradentate nitrogen heterocyclic reagents, 6.6'-bis-(5,6-dialkyl- 1,2,4-triazin-3-yl)2,2'-bipyridines (BTBPs) have been synthesised. These reagents form complexes with lanthanides and crystal structures with 11 different lanthanides have been determined. The majority of the structures show the lanthanide to be 10-coordinate with stoichiometry [Ln(BTBP)(NO3)(3)] although Yb and Lu are 9-coordinate in complexes with stoichiometry [Ln(BTBP)(NO3)(2)(H2O)](NO3). In these complexes the BTBP ligands are tetradentate and planar with donor nitrogens mutually cis i.e. in the cis, cis, cis conformation. Crystal structures of two free molecules, namely C2-BTBP and CyMe4-BTBP have also been determined and show different conformations described as cis, trans, cis and trans, trans, trans respectively. A NMR titration between lanthanum nitrate and C5-BTBP showed that two different complexes are to be found in solution, namely [La(C5-BTBP)(2)](3+) and [La(C5-BTBP)(NO3)(3)]. The BTBPs dissolved in octanol were able to extract Am(III) and Eu(III) from 1 M nitric acid with large separation factors.

Interaction of 6,6′′-bis(5,5,8,8-tetramethyl-5,6,7,8-tetrahydro-1,2,4-benzotriazin-3-yl)-2,2′:6′,2′′-terpyridine (CyMe4-BTTP) with some trivalent ions such as lanthanide(iii) ions and americium(iii)

The new ligand 6,6 ''-bis(5,5,8,8-tetramethyl-5,6,7,8-tetrahydro-1,2,4-benzotriazin-3-yl)2,2':6 ',2 ''-terpyridine (CyMe4-BTTP) has been synthesized in 4 steps from 2,2':6',2 ''-terpyridine. Detailed NMR and mass spectrometry studies indicate that the ligand forms 1 : 2 complexes with lanthanide(III) perchlorates where the aliphatic rings are conformationally constrained whereas 1 : 1 complexes are formed with lanthanide(III) nitrates where the rings are conformationally mobile. An optimized structure of the 1 : 2 solution complex with Yb(III) was obtained from the relative magnitude of the induced paramagnetic shifts. X-Ray crystallographic structures of the ligand and of its 1 : 1 complex with Y(III) were also obtained. The NMR and mass spectra of [Pd(CyMe4-BTTP)](n)(2n+) are consistent with a dinuclear double helical structure (n = 2). In the absence of a phase-modifier, CyMe4-BTTP in n-octanol showed a maximum distribution coefficient of Am(III) of 0.039 (+/-20%) and a maximum separation factor of Am(III) over Eu(III) of 12.0 from nitric acid. The metal(III) cations are extracted as the 1 : 1 complex from nitric acid. The generally low distribution coefficients observed compared with the BTBPs arise because the 1 : 1 complex of CyMe4-BTTP is considerably less hydrophobic than the 1 : 2 complexes formed by the BTBPs. In M(BTTP)(3+) complexes, there is a competition between the nitrate ions and the ligand for the complexation of the metal.

The separation of americium(III) from europium(III) by two new 6,6'-bistriazinyl-2,2'-bipyridines in different diluents

The synthesis and extraction of americium(III) and europium(III) from aqueous nitric acid solutions by the new BTBP ligands 6,6’-bis(5,5,7,7- tetramethyl-5,7-dihydrofuro[3,4-e]-1,2,4-triazin-3-yl)-2,2’-bipyridine (Cy5-O-Me4-BTBP), and 6,6’-bis(5,5,7,7-tetramethyl-5,7-dihydrothieno[3,4-e]-1,2,4-triazin-3-yl)- 2,2’-bipyridine (Cy5-S-Me4-BTBP) is described. The affinity for Am(III) and the selectivity for Am(III) over Eu(III) of Cy5-S-Me4-BTBP were generally higher than for Cy5-O-Me4-BTBP. For both ligands, the extraction of Am(III) and Eu(III) from 3 M HNO3 into 3 mM organic solutions varied with the diluent used. The highest distribution ratios and separation factors observed were in cyclohexanone and 2-methylcyclohexanone, respectively. For Cy5-S-Me4-BTBP, there is a strong correlation between the distribution ratio for Am(III) and the permittivity of the diluent used. With 1-octanol as the diluent, low distribution ratios (D(Am) < 1) were observed for Cy5-S-Me4-BTBP although this ligand extracts Am(III) selectively (SFAm/Eu = 16-46 from 1-4 M HNO3). For Cy5-S-Me4-BTBP, Am(III) is extracted as the disolvate. The distribution ratios for Am(III), and the separation factors for Am(III) over Eu(III) are both significantly higher for CyMe4-BTBP than they are for Cy5-O-Me4-BTBP and Cy5-S-Me4-BTBP in cyclohexanone. Changing the diluent from cyclohexanone to 2-methylcyclohexanone leads to a decrease in D(Am) but an increase in SFAm/Eu for Cy5-S-Me4-BTBP.

Complexation of lanthanides, actinides and transition metal cations with a 6-(1,2,4-triazin-3-yl)-2,2′:6′,2′′-terpyridine ligand: implications for actinide(III)/lanthanide(III) partitioning

The quadridentate N-heterocyclic ligand 6-(5,5,8,8-tetramethyl-5,6,7,8-tetrahydro-1,2,4-benzotriazin- 3-yl)-2,2′ : 6′,2′′-terpyridine (CyMe4-hemi-BTBP) has been synthesized and its interactions with Am(III),U(VI), Ln(III) and some transition metal cations have been evaluated by X-ray crystallographic analysis, Am(III)/Eu(III) solvent extraction experiments, UVabsorption spectrophotometry, NMR studies and ESI-MS. Structures of 1 : 1 complexes with Eu(III), Ce(III) and the linear uranyl (UO2 2+) ion were obtained by X-ray crystallographic analysis, and they showed similar coordination behavior to related BTBP complexes. In methanol, the stability constants of the Ln(III) complexes are slightly lower than those of the analogous quadridentate bis-triazine BTBP ligands, while the stability constant for the Yb(III)complex is higher. 1H NMR titrations and ESI-MS with lanthanide nitrates showed that the ligand forms only 1 : 1 complexes with Eu(III), Ce(III) and Yb(III), while both 1 : 1 and 1 : 2 complexes were formed with La(III) and Y(III) in acetonitrile. A mixture of isomeric chiral 2 : 2 helical complexes was formed with Cu(I), with a slight preference (1.4 : 1) for a single directional isomer. In contrast, a 1 : 1 complex was observed with the larger Ag(I) ion. The ligand was unable to extract Am(III) or Eu(III) from nitric acid solutions into 1-octanol, except in the presence of a synergist at low acidity. The results show that the presence of two outer 1,2,4-triazine rings is required for the efficient extraction and separation of An(III)from Ln(III) by quadridentate N-donor ligands.

Synthesis and evaluation of a novel hydrophilic 6,6′-bis(1,2,4-triazin-3-yl)-2,2′-bipyridine ligand for separating actinide(III) from lanthanide(III)

We report the synthesis and evaluation of a novel hydrophilic 6,6′-bis(1,2,4-triazin-3-yl)-2,2′-bipyridine (BTBP) ligand containing carboxylate groups as a selective aqueous complexing agent for the minor actinides over lanthanides. The novel ligand is able to complex and separate Am(III) from Eu(III) in alkaline solutions selectively.

Urinary 6-Sulphatoxymelatonin Levels Are Depressed in Chronic Migraine and Several Comorbidities

Objective.- To assess urinary 6-sulphatoxymelatonin levels in a large consecutive series of patients with migraine and several comorbidities (chronic fatigue, fibromyalgia, insomnia, anxiety, and depression) as compared with controls. Background.- Urine analysis is widely used as a measure of melatonin secretion, as it is correlated with the nocturnal profile of plasma melatonin secretion. Melatonin has critical functions in human physiology and substantial evidence points to its importance in the regulation of circadian rhythms, sleep, and headache disorders. Methods.- Urine samples were collected into a single plastic container over a 12-hour period from 8:00 pm to 8:00 am of the next day, and 6-sulphatoxymelatonin was measured by quantitative ELISA. All of the patients were given a detailed questionnaire about headaches and additionally answered the following questionnaires: Chalder fatigue questionnaire, Epworth somnolence questionnaire, State-Trait Anxiety Inventory, and the Beck Depression Inventory. Results.- A total of 220 subjects were evaluated - 73 (33%) had episodic migraine, 73 (33%) had chronic migraine, and 74 (34%) were enrolled as control subjects. There was a strong correlation between the concentration of 6-sulphatoxymelatonin detected and chronic migraine. Regarding the comorbidities, this study objectively demonstrates an inverse relationship between 6-sulphatoxymelatonin levels and depression, anxiety, and fatigue. Conclusions.- To our knowledge, this is the first study to evaluate the relationship between the urinary concentration of melatonin and migraine comorbidities. These results support hypothalamic involvement in migraine pathophysiology.

Selagineláceas da Reserva Florestal Ducke, (Manaus-AM)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)