Statistics education researchers have been challenged to consider the theory of inferentialism in understanding concept formation in students. A critique of inferentialism is that no comprehensive method has been formulated to use the theory in practice. In this paper an inferentialism-based framework is presented that appears to be capable of…

Retrospective confidence refers to the phenomenological experience of the level of certainty that retrieved information is, in fact, correct. Retrospective confidence judgments are examined across a range of sub-disciplines in psychology from perception to memory research, and in education and legal applications. This paper focuses on…

Since statistical inference is a probabilistic generalization about a population analyzed on the basis of a sample, inferential reasoning demands producing reasons ("statistical" and "contextual") to substantiate and validate generalizations. To convey an understanding of students' inferential reasoning, we present a…

Even once children can accurately remember their experiences, they nevertheless struggle to use those memories in flexible new ways--as in when drawing inferences. However, it remains an open question as to whether the developmental differences observed during both memory formation and inference itself represent a fundamental limitation on…

This paper aims to reveal the potential of inferentialism, an emerging philosophy in mathematics education, to extend contemporary constructivist research regarding conceptual development. Going against the traditional view of a notion as the name of a corresponding concept and a constructivist way of naming second-order models, we provide a new…

Although there is wide evidence on young children's category learning, questions concerning how cognitive mechanisms and social mediation work collaboratively in this process remain sparse. Here, we study the impact of pedagogy in young children's categorization of novel artifacts. A before-and-after micro-genetic study compared 58 3-year-old…

For successful learning, students need to evaluate their learning status relative to their learning goals and regulate their study in response to such monitoring. The present study investigated whether making metacognitive judgments on previously studied text would enhance the learning of that studied (backward effect) and newly studied text…

Narrative inquiry is a type of qualitative research that explores human experiences through lived or told stories to understand a phenomenon. Narrative researchers collect data through spoken or written stories and life experiences of an individual (subject). The data is examined in chronological order to understand the meaning of the phenomenon…

Recent research suggests the benefits of supporting a progressive understanding of concepts of inference prior to the teaching of procedures and formal calculations through the study of informal statistical inference (ISI). To contribute to the growing knowledge about the early learning and teaching of statistics, particularly regarding the…

Recently, there has been an increased interest in the associations between theory of mind (ToM), the ability to infer others' mental states, and academic functioning in middle childhood including scientific reasoning. This study follows this trend and addresses two gaps in the literature. First, it examines whether individual differences in ToM…

How do people learn about things that they have never perceived or inferred--like molecules, miracles or Marie-Antoinette? For many thinkers, trust is the answer. Humans rely on communicated information, sometimes even when it contradicts blatantly their firsthand experience. We investigate the early ontogeny of this trust using a non-verbal…

This study investigated whether an instructor's gestures can signal the underlying conceptual structure of a lesson and foster learning. In Experiment 1, 123 undergraduates watched a video comparing eastern and western steamboats in which the instructor produced structure gestures, surface gestures, structure and surface gestures, or neither…

Researchers across many fields have called for greater attention to heterogeneity of treatment effects--shifting focus from the average effect to variation in effects between different treatments, studies, or subgroups. True heterogeneity is important, but many reports of heterogeneity have proved to be false, non-replicable, or exaggerated. In…

This paper comprises the results of a design study that aims at developing a theoretically and empirically based learning trajectory on statistical inference for 9th-grade students. Based on theories of informal statistical inference, an 8-step learning trajectory was designed. The trajectory consisted of two similar four step sequences: (1)…

An online authentic learning environment (OnALE) is proposed in this study to facilitate students' learning of inferential statistics in a real-life context. The efficacy of the OnALE, in comparison to the conventional approach relative to the students' performance, was explored. Respondents from the experimental group were purposively selected to…