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- Joachim Engel
- 2002

Instructional methods involving students in activities for exploring statistical concepts have proven to be highly effective. Formal mathematics, on the other hand, constitutes the basis of inductive reasoning. This paper reports on an " ActivStats " class for college math majors that teaches statistical concepts as well as mathematical foundations. Its… (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)

- Sina Fesser, Laura Martignon, Joachim Engel, Sebastian Kuntze
- 2010

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)

- Joachim Engel, Peter Sedlmeier, Claudia Wörn
- 2008

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)

- Sebastian Kuntze, Joachim Engel, Laura Martignon, Martin Gundlach, Kuntze, Martignon Engel +1 other
- 2010

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)

- Joachim Engel
- 2006

We consider the role of technology in learning concepts of modeling univariate functional dependencies. It is argued that simple scatter plot smoothers for univariate regression problems are intuitive concepts that-beyond their intended usefulness in providing a possible answer to more intricate regression problem-may serve as a paradigm for statistical… (More)

- Joachim Engel
- 2003

To explore the role of technology in students modeling attempts we examined the efficacy of a Five-Steps-Program in a third-year statistics class for students preparing to be teachers: 1. Introduction of a " real-world " problem involving some aspects of data analysis; Activity or experiment to experience the dynamics of the phenomenon of interest; 2.… (More)

- Joachim Engel, Tim Erickson
- 2014

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)

- Mareike Wünsch, Sebastian Kuntze, Joachim Engel, Laura Martignon
- 2010

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)