Data Modelling and Informal Inferential Reasoning: Instances of Early Mathematical Modelling

2021 ◽  
pp. 67-93
Author(s):  
Aisling Leavy ◽  
Mairéad Hourigan
Keyword(s):  
Mathematical Modelling ◽  
Inferential Reasoning ◽  
Data Modelling ◽  
Informal Inferential Reasoning

scholarly journals PEMBELAJARAN UNTUK MENGEMBANGKAN KEMAMPUAN PENALARAN INFERENSIAL STATISTIS

2018 ◽  
Vol 6 (1) ◽  
pp. 16
Author(s):  
Laila Hayati
Keyword(s):  
Learning Environment ◽  
Statistical Learning ◽  
Learning Theory ◽  
Thinking Skills ◽  
Learning Model ◽  
Statistical Reasoning ◽  
Inferential Reasoning ◽  
Reasoning Abilities ◽  
Informal Inferential Reasoning ◽  
Definition Of

Abstrak: Artikel ini membahas tentang pembelajaran yang dapat digunakan untuk mengembangkan kemampuan penalaran inferensial statistis. Tujuan kognitif pembelajaran Statistika adalah untuk mengembangkan kemampuan literasi, penalaran, dan berpikir statistis. Salah satu tujuan dalam penalaran statistis adalah mengembangkan kemampuan penalaran inferensial. Model pembelajaran yang dapat digunakan untuk mengembangkan kemampuan penalaran inferensial statistis adalah model  Statistical Reasoning Learning Environment  (SRLE) yang didasarkan pada teori belajar konstruktivisme. Analisis didasarkan pada: 1) definisi inferensi statistis; 2) definisi penalaran inferensial informal dan formal; 3) kerangka kerja penalaran inferensial informal; 5) model pembelajaran SRLE; dan 6) penelitian terkait penalaran inferensial statistis.Abstract: This article deals with learning that can be used to develop inferential reasoning abilities statistically. The cognitive goal of statistical learning is to develop literacy, reasoning, and statistical thinking skills. One of the goals in statistical reasoning is to develop inferential reasoning abilities. The learning model that can be used to develop static inferential reasoning abilities is Statistical Reasoning Learning Environment (SRLE) model based on constructivism learning theory. The analysis is based on: 1) the definition of statistical inference; 2) the definition of informal and formal inferential reasoning; 3) informal inferential reasoning framework; 5) the learning model of SRLE; and 6) research related to inferential statistical reasoning.

scholarly journals Desarrollo de la Investigación en Razonamiento Inferencial Informal

2019 ◽  
Vol 20 (1) ◽  
Author(s):  
Jesús G Lugo A. ◽  
Jaime I García G. ◽  
Blanca R. Ruíz H.
Keyword(s):  
Literature Review ◽  
Systematic Literature Review ◽  
Inferential Reasoning ◽  
Statistical Education ◽  
Search Results ◽  
Revisión Sistemática ◽  
Informal Inferential Reasoning ◽  
Dynamic Software ◽  
Number Of Citations ◽  
Automated Search

En este trabajo se informa sobre una Revisión Sistemática de la Literatura (SLR) basada en la búsqueda automatizada en WoS, Scopus, MathEduc y, adicionalmente, en el SERJ de forma manual. El objetivo es proporcionar un panorama general del desarrollo de la investigación en el Razonamiento Inferencial Informal (RII) para investigadores en Educación Estadística. De los resultados de la búsqueda, se seleccionaron 57 estudios primarios, identificando el énfasis, el contexto y la metodología de las investigaciones; así como los autores y artículos más citados. Se encontró que en los últimos años, el desarrollo de la investigación en RII se ha enfocado en la modelación y el uso de software dinámico; los resultados están dirigidos a investigadores y profesores. Cabe destacar que los artículos con mayor impacto, en cuestión del número de citas o promedio de citas por año, son aquellos estudios previos que se consideran íconos dentro de la Educación Estadística, ya que proponen un marco de trabajo enfocado en la integración de conceptos o ideas estadísticas como un sistema para el desarrollo del RII. Abstract This paper reports on a Systematic Literature Review (SLR) based on the automated search in WoS, Scopus, MathEduc and, additionally, manually in SERJ. The aim is to provide an overview of the development of research in Informal Inferential Reasoning (IIR) for researchers in Statistical Education. From the search results, 57 primary studies were selected, identifying the emphasis, context and methodology; as well as the most cited authors and articles. It was found that in recent years, the development of research in the IIR has focused on the modeling and use of dynamic software; the results are aimed at researchers and professors. It should be noted that the articles with the greatest impact, in terms of the number of citations or average citations per year, are those previous studies that are considered essential within Statistical Education, since they propose a framework focused on integration of concepts or statistical ideas as a system for the development of the RII

scholarly journals Η ΑΝΑΠΤΥΞΗ ΤΗΣ ΑΤΥΠΗΣ ΣΤΑΤΙΣΤΙΚΗΣ ΣΚΕΨΗΣ ΣΕ ΜΑΘΗΤΕΣ ΜΙΚΡΗΣ ΗΛΙΚΙΑΣ

2017 ◽  
pp. 87
Author(s):  
ΕΦΗ ΠΑΠΑΡΙΣΤΟΔΗΜΟΥ ◽  
ΜΑΡΙΑ ΜΕΛΕΤΙΟΥ- ΜΑΥΡΟΘΕΡΗ
Keyword(s):  
Inferential Reasoning ◽  
Informal Inferential Reasoning

Το άρθρο εστιάζεται στην ανάπτυξη της άτυπης επαγωγικής συλλογιστικής (informal inferential reasoning) με τη χρήση του δυναμικού λογισμικού TinkerPlots®, το οποίο σχεδιάστηκε ειδικά για παιδιά δημοτικού και γυμνασίου. Τα αποτελέσματα της έρευνας δείχνουν ότι η διδακτική της στατιστικής μπορεί να προάγει την ανάπτυξη της επαγωγικής σκέψης σε παιδιά μικρής ηλικίας, μέσα από άτυπες, βασισμένες σε δεδομένα προσεγγίσεις. Επίσης, υποδεικνύουν ότι η χρήση του δυναμικού λογισμικού στατιστικής έχει τη δυνατότητα να ενισχύσει τη διδακτική της στατιστικής μέσω του επαγωγικού στατιστικού συλλογισμού, ο οποίος είναι προσιτός στους νεαρούς μαθητές.

Early statistics in kindergarten: analysis of an educator's pedagogical content knowledge in lessons promoting informal inferential reasoning

2022 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Soledad Estrella ◽  
Maritza Mendez-Reina ◽  
Raimundo Olfos ◽  
Jocelyn Aguilera
Keyword(s):  
Young Children ◽  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Lesson Study ◽  
Lesson Plan ◽  
Inferential Reasoning ◽  
Statistical Thinking ◽  
Content Type ◽  
Pedagogical Content ◽  
Informal Inferential Reasoning

PurposeThis study aims to describe the pedagogical content knowledge (PCK) of a kindergarten educator who implements a lesson plan about informal inferential reasoning designed in a lesson study group.Design/methodology/approachTo this end, we analyzed teaching interventions in two kindergarten lessons focused on the playful task of tossing two coins, associated with inferential statistical reasoning. The study highlights the importance of arguing and promoting this reasoning to develop statistical thinking. It is crucial to recognize how early students can be subject to learning experiences that promote a language of uncertainty, assess the evidence provided by the data, and make generalizations.FindingsThe results reveal that while the educator demonstrated knowledge and skills relevant to the curriculum and conceptual teaching strategies, the understanding of the content by the students and the integration of the PCK components still present a challenge.Practical implicationsThe lesson study collaborative teaching practices that promote PCK have proven effective for informing the design and implementation of instructional practices supporting the development of early statistical thinking in young children.Originality/valueThe study enriches the knowledge regarding the potential of the lesson study (LS) in the professional learning of kindergarten educators. It also contributes to a comprehensive approach based on authentic playful experiences in grade K that supports the development of early statistical thinking in young children.

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