Maturity and citizenship in a democracy require that laypersons are able to critically evaluate experts’ use of mathematics. Learning to critically reflect on the use of mathematics, including the acquisition of the mathematical knowledge and skills required to that end, has been repeatedly postulated as an indispensable goal of compulsory education in mathematics. However, it remained unclear in how far such reflection is possible, even for the well-educated layperson in mathematics. We use different discussions in German mass media on the pandemic policy in the SARS-CoV-2 crisis in 2020 as examples with far-reaching individual and social consequences. The selected discussions build heavily on mathematical concepts such as mortality rates, casualty numbers, reproduction numbers, and exponential growth. We identify the concepts and discuss how far they can be understood by laypersons. On the one hand, we found that some mathematical models are inappropriate, which can also be determined by laypersons. On the other hand, we found uses of mathematics where ideal concepts are intermingled with complex statistical concepts. While only the ideal concepts can be understood by laypersons, only the statistical concepts lead to actual data. The identification of both types of concepts leads to a situation where the use of mathematics evades social control and opens spaces for misconceptions and manipulation. We conclude that the evaluation of experts’ use of mathematics by laypersons is not possible in all relevant cases, and we discuss possible implications of this result.
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Anne Kelso Emese Trájer Katja Machus Gunnar Treff Wolfram Müller Jürgen M. Steinacker 《European Journal of Sport Science》2017,17(5):576-585
Introduction: There is a large variety of body fat (BF) measurements, which differ in validity and reliability. The aim of this study was to measure subcutaneous adipose tissue (SAT) using ultrasound (US) in highly trained junior rowers in a field setting, establish fat patterning profiles, and compare the profiles between male and female athletes. Skinfold thickness (SKF) measurements were also taken and compared to US measurements. Methods: Sixteen athletes participated. US measurements were taken at eight sites and reported as a sum of SAT (D): DExcl (without embedded structures) and DIncl (including embedded structures). SKF was measured at three sites and reported as a sum of adipose tissue thickness (SUMSKF). Results: Mean SAT thickness (DIncl) was 27.6?±?12.4?mm for males and 65.5?±?11.8?mm for females. Females had significantly more embedded structures than males (P?=?.016). Significant correlations were found (P?<?.001, r?=?0.92) comparing SUMSKF to DIncl and between SKF and US measurements at the thigh site (P?<?.001, r?=?0.86). Conclusion: US is a suitable tool to measure BF in the field testing of athletes and enables measurements of SAT with an accuracy and reliability not reached before. The sum of thicknesses (DIncl or DExcl) can be used to represent subcutaneous fat based on accurate measurements of uncompressed SAT thicknesses. 相似文献
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Wolfram Laaser 《开放教育研究》2005,11(2)
This paper introduced the objectives, instruments and methods for the evaluation firstly. Then the paper exemplified the criteria to evaluate the learning management system and online courses. At the end, the author came the conclusion that the results of evaluation should be implemented continuously to implore the systems services and submitted to the scientific community to check their rigidity and validity. 相似文献
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Gerhart Rott Wolfram Wickel 《International journal for the advancement of counseling》1995,18(4):245-262
The aim of this report is to describe the development of the student counselling system at German universities. The first chapter gives a short review of the situation in the first decades after the war. The second chapter describes the setting up of working models for student counselling systems which served as a basis for the development of counselling centres in the seventies on a larger scale. Chapter III reports on the student counselling service at Bonn University as an example for a unit integrating information, orientation and person-centred counselling facilities as well as psychological counselling, and in Chapter IV Rott gives an overview of the situation of psychological counselling in Germany. 相似文献
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The purpose of this study is to carry out a direct comparison of a hypertext-based bibliographic retrieval system with a traditional Boolean-based retrieval system, each using the same database. Novice and experienced searchers were assigned to either a prototype hypertext system called HyperLynx or to a traditional Boolean system and were asked to perform a set of search tasks. The study revealed that the Boolean system performed better than the hypertext system for search tasks with a large number of relevant items. Searcher experience level did not play a significant role for either system. Findings of the study have implications for the design of future information retrieval systems that take advantage of the best features of both approaches for more effective and efficient retrieval of highly structured databases. 相似文献
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