A new model construction by making a detour via intuitionistic theories II: Interpretability lower bound of Feferman's explicit mathematics T0

We partially solve a long-standing problem in the proof theory of explicit mathematics or the proof theory in general. Namely, we give a lower bound of Feferman’s system T0 of explicit mathematics (but only when formulated on classical logic) with a concrete interpretat ion of the subsystem Σ12-AC+ (BI) of second order arithmetic inside T0. Whereas a lower bound proof in the sense of proof-theoretic reducibility or of ordinalanalysis was already given in 80s, the lower bound in the sense of interpretability we give here is new. We apply the new interpretation method developed by the author and Zumbrunnen (2015), which can be seen as the third kind of model construction method for classical theories, after Cohen’s forcing and Krivine’s classical realizability. It gives us an interpretation between classical theories, by composing interpretations between intuitionistic theories.

Instruction des Central-Comité's der vereinigten Rechten: die Partei der vereinigten linken Fractionen der Nationalversammlung ...

Welsch (Projektbearbeiter): Abdruck einer 'Instruktion' des Zentralkomitees der vereinigten Rechten der Preußischen Nationalversammlung samt Kommentierung durch das 'Central-Comité für Volksthümliche Wahlen im Preußischen Staate': der vereinigten Rechten wird das Recht abgesprochen, sich 'Constitutionelle Partei' zu nennen. Vorwurf der Einflußnahme auf das zukünftige Wahlergebnis durch den entsprechenden Zuschnitt der Wahlkreise und Unterdrückung der freisinnigen Presse

Measuring citizens' implicit and explicit attitudes towards the European Union

Studies assessing citizens’ attitudes towards Europe have mostly used explicit concepts and measures. However, psychologists have shown that human behaviour is not only determined by explicit attitudes which can be assessed via self-report, but also by implicit attitudes which require indirect measurement. We combine a self-report questionnaire with an implicit Affective Misattribution Procedure for the first time in an online environment to estimate the reliability, validity and predictive power of this implicit measure for the explanation of European Union-skeptical behaviour. Based on a survey with a sample representative for Germany, we found evidence for good reliability and validity of the implicit measure. In addition, the implicit attitude had a significant incremental impact beyond explicit attitudes on citizens’ proneness to engage in EU-skeptical information and voting behaviour.

Kundmachung: In der Instruction für die Vertrauensmänner der Gewerbs-Corporationen ...

Welsch (Projektbearbeiter): Das 'Comité zur Unterstützung mittelloser Gewerbsleute' akzeptiert als Kreditvoraussetzung neben den zunächst geforderten Sicherheiten (Wertpapiere, Sparbücher, Wechsel und Personalbürgschaften) nun auch Versatzzettel, Privatschuldscheine und ähnliches

Explicit description of generic representations for quivers of type An or Dn

We describe explicitly a generic representation for Dynkin quivers of type An or Dn for any dimension vector.

Lessons from Ellen: A Case Study Investigation of Comprehension Strategy Instruction in Action

In the past ten years, reading comprehension instruction has received significant attention from educational researchers. Drawing on studies from cognitive psychology, reader response theory, and language arts research, current best practice in reading comprehension instruction is characterized by a strategies approach in which students are taught to think like proficient readers who visualize, infer, activate schema, question, and summarize as they read. Studies investigating the impact of comprehension strategy instruction on student achievement in reading suggest that when implemented consistently the intervention has a positive effect on achievement. Research also shows, however, that few teachers embrace this approach to reading instruction despite its effectiveness, even when the conditions for substantive professional development (i.e. prolonged engagement, support, resources, time) are present. The interpretive case study reported in this dissertation examined the year-long experience of one fourth grade teacher, Ellen, as she leanled about comprehension strategy instruction and attempted to integrate the approach in her reading program. The goal of the study was to extend current understanding of the factors that support or inhibit an individual teacher's instructional decision making. The research explored how Ellen's academic preparation, beliefs about reading comprehension instruction, and attitudes toward teacher-student interaction influenced her efforts to employ comprehension strategy instruction. Qualitative methods were the basis of this study's research design. The primary methods for collecting data included pre- and post-interviews, field notes from classroom observations and staff development sessions, infonnal interviews, e-mail correspondence, and artifacts such as reading assignments, professional writing, school newsletters, and photographs of the classroom. Transcripts from interviews, as well as field notes, e-mail, and artifacts, were analyzed according to grounded theory's constant-comparative method. The results of the study suggest that three factors were pivotal in Ellen's successful implementation of reading strategy instruction: Pedagogical beliefs, classroom relationships, and professional community. Research on instructional change generally focuses on issues of time, resources, feedback, and follow-through. The research reported here recognizes the importance of these components, but expands contemporary thinking by showing how, in Ellen's case, a teacher's existing theories, her relationship with her students, and her professional interaction with peers impact instructional decisions.

Preservice, Secondary Social Studies Teachers' Perceptions of Gender Equity

This study examines preservice, social studies teachers’ perceptions of gender equity. The assumption that preservice teachers recognize gender as an important issue and are willing and able to take the initiative to remedy inequities in their classroom structures and content is considered. Six participants were interviewed using Seidman’s (2006) three-round, interview protocol. A focused life history was compiled to situate participants’ perceptions within their personal and professional experiences. Findings suggest a disconnect between preservice teachers' intentions and their practice in regards to gender equity. More explicit attention to gender equity in teacher education programs is recommended.

Explicit and Implicit Methods In Solving Differential Equations

Differential equations are equations that involve an unknown function and derivatives. Euler's method are efficient methods to yield fairly accurate approximations of the actual solutions. By manipulating such methods, one can find ways to provide good approximations compared to the exact solution of parabolic partial differential equations and nonlinear parabolic differential equations.

Online Format vs. Live Mode of Instruction: Do Human Capital Differences or Differences in Returns to Human Capital Explain the Differences in Outcomes?

Our paper asks the question: Does mode of instruction format (live or online format) effect test scores in the principles of macroeconomics classes? Our data are from several sections of principles of macroeconomics, some in live format, some in online format, and all taught by the same instructor. We find that test scores for the online format, when corrected for sample selection bias, are four points higher than for the live format, and the difference is statistically significant. One possible explanation for this is that there was slightly higher human capital in the classes that had the online format. A Oaxaca decomposition of this difference in grades was conducted to see how much was due to human capital and how much was due to the differences in the rates of return to human capital. This analysis reveals that 25% of the difference was due to the higher human capital with the remaining 75% due to differences in the returns to human capital. It is possible that for the relatively older student with the appropriate online learning skill set, and with schedule constrains created by family and job, the online format provides them with a more productive learning environment than does the alternative traditional live class format. Also, because our data are limited to the student s academic transcript, we recommend future research include data on learning style characteristics, and the constraints formed by family and job choices.

Is the Cheating Risk Always Higher in Online Instruction Compared to Face-to-Face Instruction?

This article analyzes the exposure to cheating risk of online courses relative to face-to-face courses at a single institution. For our sample of 20 online courses we report that the cheating risk is higher than for equivalent face-to-face courses because of reliance on un-proctored multiple choice exams. We conclude that the combination of a proctored final exam, and strategic use cheating deterrents in the administration of un-proctored multiple choice exams, would significantly reduce the cheating risk differential without substantially altering the assessment design of online instruction.

The Effect of Direct Instruction versus Discovery Learning on the Understanding of Science Lessons by Second Grade Students

This study examined the effectiveness of discovery learning and direct instruction in a diverse second grade classroom. An assessment test and transfer task were given to students to examine which method of instruction enabled the students to grasp the content of a science lesson to a greater extent. Results demonstrated that students in the direct instruction group scored higher on the assessment test and completed the transfer task at a faster pace; however, this was not statistically significant. Results also suggest that a mixture of instructional styles would serve to effectively disseminate information, as well as motivate students to learn.