Informal Statistical Models and Modeling

Autor/inn/en	Dvir, Michal; Ben-Zvi, Dani
Titel	Informal Statistical Models and Modeling
Quelle	In: Mathematical Thinking and Learning: An International Journal, 25 (2023) 1, S.79-99 (21 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1098-6065
DOI	10.1080/10986065.2021.1925842
Schlagwörter	Teaching Methods; Statistics Education; Novices; Correlation; Models; Grade 6; Thinking Skills; Statistical Inference; Longitudinal Studies; Public Schools; Program Descriptions; Foreign Countries; Computer Software; Israel + Suchen Sie Ihr Suchwort? Teaching method; Lehrmethode; Unterrichtsmethode; Korrelation; Analogiemodell; School year 06; 6. Schuljahr; Schuljahr 06; Denkfähigkeit; Inferential statistics; Schließende Statistik; Longitudinal study; Longitudinal method; Longitudinal methods; Längsschnittuntersuchung; Public school; Öffentliche Schule; Ausland
Abstract	Growing scholarship on the pedagogical applications of statistical modeling is currently taking place to create adaptations of this practice to introduce novices to statistics. These are intended to promote novices' reasoning, and are typically void of formal mathematical procedures and calculations. In this article, we define the potential product that novices can create as they engage in such informal implementations, Informal Statistical Models (ISM), as purposeful representations -- with both deterministic and stochastic components -- of how observed variability in data is generated. This definition reflects the potential connection between informal constructs that novices and young students can create and the formal view of statistical models, thereby suggesting how informal insights may be later cultivated into more mature understandings. We illustrate the usefulness of this definition by providing an in-depth account of the reasoning that a pair of sixth-grade students employed through their informal statistical modeling process. The findings illustrate a four-episode sequence where students created and developed an initial deterministic model before extending it with an informal stochastic component. This shows how starting with deterministic models can be a valuable precursor to develop initial ISMs. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01