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Science and Mathematics Education

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Informal inferential reasoning

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The Role Of Sampling Variability In Developing K-8 Preservice Teachers’ Informal Inferential Reasoning, Omar Abu-Ghalyoun Apr 2019

The Role Of Sampling Variability In Developing K-8 Preservice Teachers’ Informal Inferential Reasoning, Omar Abu-Ghalyoun

Dissertations

Recent influential policy reports, such as the Common Core State Standards (CCSS-M, 2010) and Guidelines for Assessment and Instruction in Statistics Education Report, (GAISE, 2007), have called for dramatic changes in the statistics content included in the K-8 curriculum. In particular, students in these grades are now expected to develop Informal Inferential Reasoning (IIR) as a way of preparing them for formal concepts of inferential statistics such as confidence intervals and testing hypotheses. Ben-Zvi, Gil, & Apel, (2007) describe IIR as the cognitive activities involved in informally making statistical inferences. Over this path from informal to formal inference, many important …


Eliciting Elementary School Students’ Informal Inferential Reasoning Through Storytelling, Dustin Owen Smith Aug 2014

Eliciting Elementary School Students’ Informal Inferential Reasoning Through Storytelling, Dustin Owen Smith

Dissertations

One growing area of research on statistical learning is Informal Inferential Reasoning (IIR). Makar and Rubin (2009) describe IIR as having three components: making and evaluating inferential claims, supporting claims explicitly with data, and attending to the inherent uncertainty present in statistical inference-making. This dissertation study was built around developing a method for providing opportunities for elementary school students (Grades K, 2, and 4) to engage with IIR within the context of stories and storytelling through a method called Storytelling-Questioning. After interacting with and discussing two separate stories, it was found that students of each grade level were able to …


A Method For Assessing And Describing The Informal Inferential Reasoning Of Middle School Students, Joshua Michael Goss Jun 2014

A Method For Assessing And Describing The Informal Inferential Reasoning Of Middle School Students, Joshua Michael Goss

Dissertations

Informal Inferential Reasoning (IIR) has emerged in the last decade in the study of statistics education. Developing students’ IIR ability is seen as a way of preparing students for the important topic of Formal Statistical Inference (FSI); however, research is still needed in order to investigate how students transition between informal and formal statistical reasoning. A primary difficulty is that we do not have a way of assessing and describing students’ IIR ability levels. In order to address this, an Assessment of Informal Inferential Reasoning (AIIR) was developed, along with a Structure of Observed Learning Outcomes (SOLO) taxonomy (Biggs & …