Comparing State SAT Scores: Problems, Biases, and Corrections

Comparing SAT scores among states using regression analysis leads to biased results because states differ in the proportion of students taking the exam. When the proportion of students taking the exam is included in the regression equation, the results can be biased because of misspecifieation bias. A method intended to correct for selection bias is presented, and empirical results suggest that sample selection bias is present in SAT score regressions. Regression equations and state rankings are compared between the selection-corrected equation and equations for which the selection problem is not addressed. The proposed method is one of many available as possible solutions to the selection problem. Alternative methods may produce different results     

Dropouts in Swiss vocational education and the effect of training companies’ trainee selection methods

In the Swiss vocational education system, which is often called a ‘Dual System’, trainees enter into an apprenticeship contract with a training company. On average, 25% of those contracts are terminated prematurely (PCT). This article examines the relationship between training companies’ selection methods and PCTs. The investigation is based on a quantitative study with a cross-sectional design and on qualitative interviews. Trainers and operations managers (N = 335) of Swiss training companies for cooks and painters were surveyed. Half of the companies have been affected by a PCT in the past and the other half have not. The findings indicate that a certain amount of the explained variance between companies with and without reported PCTs can be explained by the companies’ selection process. Companies that were affected by a PCT use a job interview and a company visit significantly less often in their selection process than companies without a PCT.     

Advanced Linear Algebra: A Call for the Early Introduction of Complex Numbers

Abstract

A second course in linear algebra that goes beyond the traditional lower-level curriculum is increasingly important for students of the mathematical sciences. Although many applications involve only real numbers, a solid understanding of complex arithmetic often sheds significant light. Many instructors are unaware of the opportunities afforded by the early introduction of complex arithmetic. Most elementary properties of complex numbers have immediate matrix analogues and many important theorems can be deduced, or at least postulated, from the basics of complex arithmetic alone.     

Approaching Cauchy’s Theorem

Abstract

We hope to initiate a discussion about various methods for introducing Cauchy’s Theorem. Although Cauchy’s Theorem is the fundamental theorem upon which complex analysis is based, there is no “standard approach.” The appropriate choice depends upon the prerequisites for the course and the level of rigor intended. Common methods include Green’s Theorem, Goursat’s Lemma, Leibniz’ Rule, and homotopy theory, each of which has its positives and negatives.     

Interactive anatomical and surgical live stream lectures improve students' academic performance in applied clinical anatomy

Tuebingen's Sectio Chirurgica (TSC) is an innovative, interactive, multimedia, and transdisciplinary teaching method designed to complement dissection courses. The Tuebingen's Sectio Chirurgica (TSC) allows clinical anatomy to be taught via interactive live stream surgeries moderated by an anatomist. This method aims to provide an application‐oriented approach to teaching anatomy that offers students a deeper learning experience. A cohort study was devised to determine whether students who participated in the TSC were better able to solve clinical application questions than students who did not participate. A total of 365 students participated in the dissection course during the winter term of the 2012/2013 academic year. The final examination contained 40 standard multiple‐choice (S‐MC) and 20 clinically‐applied multiple‐choice (CA‐MC) items. The CA‐MC items referred to clinical cases but could be answered solely using anatomical knowledge. Students who regularly participated in the TSC answered the CA‐MC questions significantly better than the control group (75% and 65%, respectively; P < 0.05, Mann‐Whitney U test). The groups exhibited no differences on the S‐MC questions (85% and 82.5%, respectively; P > 0.05). The CA‐MC questions had a slightly higher level of difficulty than the S‐MC questions (0.725 and 0.801, respectively; P = 0.083). The discriminatory power of the items was comparable (S‐MC median Pearson correlations: 0.321; CA‐MC: 0.283). The TSC successfully teaches the clinical application of anatomical knowledge. Students who attended the TSC in addition to the dissection course were able to answer CA‐MC questions significantly better than students who did not attend the TSC. Thus, attending the TSC in addition to the dissection course supported students' clinical learning goals. Anat Sci Educ 10: 46–52. © 2016 American Association of Anatomists.     

Optimal presentation of graphic organizers and text: A case for large bites?

In three experiments, we investigated the optimal presentation of graphic organizers (GOs) and text by having undergraduates read a chapter-length text in its entirety, a few pages at a time, or a few sentences at a time, before or after viewing seven GOs in their entirety (large bites), one at a time (small bites), or one cell at a time (animated). Large bites were better than small bites for learning concept relations and applying that knowledge, and for recalling macropropositions when the GOs were presented before text. Animated GOs offered no advantages over the large-bites GOs at first presentation and considerably extended total study time. Presenting several GOs first, followed by the entire text, appears to be optimal in directing students’ attention to across-chapter relations in text.     

An Empirical Assessment of Interdisciplinarity: Perspectives from Graduate Students and Program Administrators

Interdisciplinarity is heralded as a relatively new educational and research paradigm that can effectively address complex problems at disciplinary boundaries. Yet little is known about the extent to which interdisciplinarity has penetrated higher education, nor about how students and program administrators view its usefulness. Through a case study of one field, urban planning, we assessed the extent to which graduate students and program administrators understand and support interdisciplinarity in the departments. We also assessed the extent to which specific factors might affect levels of support. Our survey results suggest differing attitudes between students and administrators and diverse opinions as to whether interdisciplinarity provides a practicable approach to addressing societal challenges. We offer a model for fostering interdisciplinarity and developing empirical evaluations of programs.     

Building face,construct, and content validity through use of a modified Delphi: adapting grounded theory to build an environmental field days observation tool

Environmental field days offer a distinct opportunity to connect students with science and the environment. The literature on field days, informed by research on field trips, provides a framework for best practices. If there are best practices, however, then presence or lack of the practice should have a discernable impact on the outcomes of the field day and should be measurable and some of them should be observable. The Delphi process was modified to ground the theory and to end the Delphi using a subset of the panel in a face‐to‐face meeting to move from consensus to instrument construction. This paper describes the process and shows a summary of the findings of each of the rounds of the Delphi. The use of a Delphi method for determining consensus around the validity of the theory emerging from the research and literature on field days was appropriate and shows that this type of testing against grounded theory can prove useful for building measures to test the emergent theoretical constructs. Modifying the Delphi to focus on the theoretical constructs emerging from the initial analysis allowed the process to function as a true Delphi and eliminated the long process of construct identification.