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)
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)
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)
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)
INFORMAL INFERENTIAL REASONING AND CHANGE POINT DETECTION TASKS Inferential statistics is the scientific method for evidence-based knowledge acquisition. However, the logic behind statistical inference is difficult for students to understand. The recent literature (e.g., Pratt & Ainley 2008) discusses different concepts of introducing inductive reasoning,(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)