Joachim Engel

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J. Engel,1,* F. Šimkovic,2,3,4 and P. Vogel5 1Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27516-3255, USA 2Boboliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia 3Department of Nuclear Physics and Biophysics, Comenius University, Mlynská dolina F1, SK-842 48 Bratislava, Slovakia 4Czech(More)
Children typically learn basic numerical and arithmetic principles using finger-based representations. However, whether or not reliance on finger-based representations is beneficial or detrimental is the subject of an ongoing debate between researchers in neurocognition and mathematics education. From the neurocognitive perspective, finger counting provides(More)
J. Engel, , S. Pittel, 2 M. Stoitsov, 3 P. Vogel, 4 and J. Dukelsky 5 Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599 Bartol Research Institute, University of Delaware, Newark, Deleware 19716 Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia-1784, Bulgaria and Bartol(More)
In C. Reading (Ed.), Data and context in statistics education: Towards an evidence-based society. Proceedings of the Eighth International Conference on Teaching Statistics (ICOTS8, July, 2010), Ljubljana, Slovenia. Voorburg, The Netherlands: International Statistical Institute. www.stat.auckland.ac.nz/~iase/publications.php [© 2010 ISI/IASE] ASPECTS OF(More)
notion the theoretical distribution on the random variable ) is not available. All we have ICOTS8 (2010) Invited Paper Engel International Association of Statistical Education (IASE) www.stat.auckland.ac.nz/~iase/ to rely on are the data at hand, i.e. the sample or recapture of size n. These data–if drawn by some random mechanism–may well be taken as a good(More)
The idea of data being a mixture of signal and noise is perhaps one of the most fruitful and fundamental ideas of statistics. To enable future mathematics teachers to educate students to become statistically literate, we propose an integrative approach connecting central topics of school mathematics with the signal-noise idea. A course on modeling(More)
While the bootstrap in its first two decades after its inception by Brad Efron revolutionized the methods of the expert data analysts, its vast pedagogical potential is still in the process of being discovered. The bootstrap is a prime example of synergy between technology and content that can naturally be taught within the paradigms of new pedagogy. It has(More)
THEORETICAL BACKGROUND AND RATIONALE OF THE STUDY The understanding of statistical variation is a core idea for describing and assessing statistical literacy (Watson & Callingham, 2003; Kuntze, Lindmeier & Reiss, 2008). In these studies, dealing with variation has been in the focus of the development of competency models, which were evaluated successfully(More)