The principle of feasiable directions for nonlinear approximants and infinitely many constraints

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The conceptualisation and measurement of pedagogical content knowledge and content knowledge in the COACTIV study and their impact on student learning

An ongoing question is the extent to which teachers' professional knowledge has an impacton their teaching and, in particular, on their students' achievement. The COACTIV1 studysurveyed and tested the mathematics teachers of the classes sampled for PISA 2003/04 inGermany. The study’s key components were newly developed tests of teachers’ pedagogicalcontent knowledge and content knowledge. This article gives a report of theconceptualisation and operationalisation of both domains of knowledge and describes theconstruction of the COACTIV tests. Findings from the tests show that there are differenceswith respect to both knowledge domains regarding teachers’ school types, but thatpedagogical content knowledge and content knowledge astoundingly both do not depend onteaching experience. Furthermore we show that the two domains of knowledge correlatepositively with constructivist teachers’ subjective beliefs, on the one hand, and with somecrucial aspects of their instruction, on the other hand. Finally, we show that pedagogicalcontent knowledge – but not pure content knowledge per se – significantly contributes tostudents’ learning gains

Consequences of Postnatally Elevated Insulin-Like Growth Factor-II in Transgenic Mice: Endocrine Changes and Effects on Body and Organ Growth.

Insulin-like growth factor-II (IGF-II) is an important regulator of embryonic growth and differentiation, but its function in postnatal life is unclear. To address this point, we generated transgenic mice harboring fusion genes in which a human IGF-II complementary DNA is placed under the transcriptional control of the rat phosphoenolpyruvate carboxykinase promoter. Transgene-specific messenger RNA was detected in liver, kidney, and several parts of the gut. Serum IGF-II levels in transgenic mice were 2-3 times higher than those in controls and increased after starvation. Circulating IGF-I correlated negatively and IGF-binding protein-2 (IGFBP-2) positively with IGF-II levels, suggesting that IGF-I is displaced from IGFBPs by IGF-II and that IGFII is a major regulator of IGFBP-2. Serum levels of IGFBP-3 and IGFBP-4 tended to be higher in phosphoenolpyruvate carboxykinase- IGF-II transgenic mice than in controls, as evaluated by ligand blot analysis. Starvation reduced serum IGF-I, but increased IGFBP-2 in transgenic mice more markedly than in controls. Fasting insulin levels were significantly reduced in transgenic mice, whereas glucose levels were not influenced by elevated IGF-II. The body growth of 4- and 12- week-old mice was not significantly influenced by elevated IGF-II, but transgenic mice displayed increased kidney and testis weight at the age of 4 weeks, and increased adrenal weight at the age of 12 weeks. Our results demonstrate that elevated IGF-II in postnatal life has multiple endocrine consequences and subtle time-specific effects on organ growth

Insulin-Like Growth Factor (IGF)-I and -11 and IGFBinding Proteins-l, -2, and -3 in Children and Adolescents with Diabetes Mellitus: Correlation with Metabolic Control and Height Attainment.

The putative effects of diabetes and metabolic control on circulating levels of insulin-like growth factors (IGFs) and their binding proteins (IGFBPs) remain controversial. In the present study, serum levels of IGF-I and IGF-II and IGFBP-1, -2, and -3 were measured in 58 patients (age, 0.8-17 yr) with treated (51 subjects) or untreated (7 subjects) insulin-dependent diabetes mellitus (IDDM) and were compared with the levels in normal subjects. In the untreated patients IGF-I and IGF-II were decreased as compared with the healthy controls. In the treated diabetics IGF-I and IGF-II were reduced; IGFBP-2 (only in prepubertal subjects) and IGFBP-3 were increased. Furthermore, age-adjusted values of IGF-I, IGF-II, and IGFBP-3 were lower in prepubertal than in pubertal patients. Regression analysis revealed a negative correlation between hemoglobin (Hb)A1c and standard deviation scores (SDS) of IGF-I and a positive association between HbA1c and IGFBP-1 SDS or IGFBP-2 SDS. In the treated patients HbA1c was positively related to IGFBP-1 SDS and IGFBP-2 SDS when applying simple regression analysis and to IGFBP-2 SDS when using a multiple regression model. Strong correlations were observed between height SDS and IGF-I SDS, IGF-II SDS, and IGFBP-3 SDS in prepubertal subjects who had had IDDM for at least 2 yr, but not in adolescents. Such correlations have also been found in healthy children and adolescents. In conclusion; 1) IDDM is associated with alterations of the IGF-IGFBP system, which are partially accounted for by differences in metabolic control and pubertal status; 2) the lower plasma concentrations of serum IGF-I may play a role in the pathogenesis of growth impairment of poorly controlled prepubertal, but not pubertal, children and adolescents with IDDM; and 3) in addition, a potential role of the altered IGF-IGFBP system for the development of diabetic late complications is hypothesized

Stochastische Unternehmensmodelle als Kern innovativer Ratingsysteme

In our paper, we analyze, based on a new rating methodology, 105 enterprises from Saxony with respect to their ability to meet their financial obligations. It is based on classical financial-statement approach, a direct inclusion of risk and a stochastic simulation model of enterprise development. The results show that the method used is superior to presently used approaches and that it extends our knowledge of enterprise development. On and above its Basel-II applicability, it is a tool to analyze individual development strategies of firms.rating, Saxony, modelling of enterprises, stochastics, risk, sucsess factors