Categories of modules for elementary abelian p-groups and generalized Beilinson algebras

In this paper, we approach the study of modules of constant Jordan type and equal images modules over elementary abelian p-groups E_r of rank r \geq 2 by exploiting a functor from the module category of a generalized Beilinson algebra B(n,r), n \leq p, to mod E_r. We define analogs of the above mentioned properties in mod B(n,r) and give a homological characterization of the resulting subcategories via a P^{r-1}-family of B(n,r)-modules of projective dimension one. This enables us to apply homological methods from Auslander-Reiten theory and thereby arrive at results that, in particular, contrast the findings for equal images modules of Loewy length two over E_2 with the case r > 2. Moreover, we give a generalization of the W-modules defined by Carlson, Friedlander and Suslin.Comment: 21 page

How and Why Digital Generation Teachers Use Technology in the Classroom: An Explanatory Sequential Mixed Methods Study

While teachers’ conservative attitude toward technology has been identified as a barrier to effective technology integration in classrooms, it is often optimistically assumed that this issue will resolve when the digital generation enters the teaching profession (Morris, 2012). Using a mixed methodology approach, this study aimed to examine the current technology usage of digital generation student teachers and the impact of possible internal and external barriers (such as self-efficacy, risk taking, and technology access and support) on their use of technology. Seventy-one student teachers first responded to an online survey regarding their technology use in classrooms. Afterwards, six participants were purposefully selected, based on their survey responses, to participate in follow-up interviews about their attitudes toward technology and challenges of integrating technology to teaching. Findings of the study suggested that digital generation student teachers’ use of technology in the classroom was significantly correlated with their self-efficacy, perceived computer skills, and technology access and support. However, the participants’ perceived level of risk taking was not related to their use of technology in the classroom. Findings of the study suggest that digital native student teachers have not necessarily become more comfortable keeping pace with the fast rate of change in technology. Implications of findings are discussed

An Analysis of Elementary Science Teachers’ Beliefs Regarding Inquiry Science Teaching

The National Science Teachers Association (2015) recommends that teachers experience science as inquiry as a part of their teacher preparation; however, what assistance can be provided to practicing teachers? This paper describes the results of a professional development program in inquiry science teaching for third through sixth grade teachers and its effects on the participants’ beliefs about the teaching of science. Qualitative data were collected using reflections written by the teachers at the end of the program, lesson summaries completed throughout the program, and observations paired with interviews of teachers implementing inquiry lessons in their own classrooms. The data suggest that the following aspects of the professional development model employed in the study enhanced the participants’ feelings of self- confidence, preparation, and excitement about teaching science to their students: 1) supplying teachers with content/background knowledge, 2) promoting positive experiences with inquiry, 3) providing a chance to implement inquiry lessons in the classroom, 4) facilitating collaboration, and 5) modeling effective teaching strategies. Follow-up studies will include quantitative analyses to further examine teachers’ beliefs, as well as to determine if their beliefs are sustained over time

380-kV-Höchstspannungsleitung Wahle-Mecklar

Die von der Tennet TSO GmbH geplante 380-kV-Höchstspannungsleitung Wahle-Mecklar ist ein wichtiger Baustein bei der Umsetzung der Energiewende in Deutschland. Angesichts der Raumbedeutsamkeit und der überörtlichen Bedeutung dieses geplanten Neubaus wurde in enger Zusammenarbeit in den Bundesländern Niedersachsen und Hessen jeweils ein Raumordnungsverfahren durchgeführt. Die Verfahren wurden im Mai 2010 eingeleitet und im November 2011 abgeschlossen. Für den niedersächsischen Abschnitt wurden mehrere Varianten für die Führung der Leitung von Wahle nach Mecklar im Raumordnungsverfahren auf ihre Raum-, Umwelt- und Natura 2000-Verträglichkeit geprüft. Einige Raumnutzungskonflikte führten im Verfahren zu technischen und planerischen Optimierungsvorschlägen innerhalb der Varianten, die für die landesplanerisch festgestellte Variante in den 21 Maßgaben der Landesplanerischen Feststellung festgeschrieben wurden. Die rund 230 km lange 380-kV-Leitung Wahle-Mecklar hat mittlerweile die Genehmigungsphase erreicht.The 380-kV high-power voltage line Wahle-Mecklar planned by Tennet TSO GmbH is an important element in the implementation of the energy transition in Germany. In light of the spatial impact and supra-regional significance of this new development, a spatial planning procedure was cooperatively carried out in each of the federal states of Lower Saxony and Hessen. The procedures were initiated in May 2010 and concluded in November 2011. For the section of the line in Lower Saxony, several options for the route to be taken from Wahle to Mecklar were assessed in terms of their spatial, environmental and Natura 2000 impact. Several land-use conflicts led to proposals being made within the procedure for the technical and planning optimisation of the variants. For the variant selected by the state planning instance these proposals were then included in the 21 stipulations of the state planning assessment. The approximately 230 km long 380-kV transmission line Wahle-Mecklar is now in the approval phase