Joachim Engel

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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)
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)
MOTIVATION OF THE STUDY This year, for the first time, risk has been included in a session of the ICOTS, as a topic for instruction in school in connection with statistics education. The urgency to include mathematical tools for modeling risk in the school curricula has emerged as a consequence of the observed lack of competency in risk assessment not just(More)
Competencies in the area of statistical literacy have been the subject of several studies which have succeeded in establishing competency measure instruments. However, the approaches differ from each other. Moreover, even though there is a body of research on conceptual knowledge potentially linked with components of statistical literacy, there is a need of(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)