Authentic, "messy data" contain variability that comes from many sources, such as natural variation in nature, chance occurrences during research, and human error. It is this messiness that both deters potential users of authentic data and gives data the power to create unique learning opportunities that reveal the nature of science…

Questioning has been utilized as a critical assessment tool for centuries. It has been thought that there is a relationship between asking good questions and effective teaching. In order to analyze teachers' questioning strategies from various aspects, this study was conducted during the 2014-2015 academic year with 170 primary school teachers…

Research into human decision making (DM) processes from outside of education paint a different picture of DM than current DM models in education. This pilot study assesses the use of critical decision method (CDM)--developed from observations of firefighters' DM -- in the context of primary mathematics teachers' in-class DM. Preliminary results…

Explaining inconsistency may serve as an important mechanism for driving the process of causal learning. But how might this process generate amended beliefs? One way that explaining inconsistency may promote discovery is by guiding exploratory, hypothesis-testing behavior. In order to investigate this, a study with young children ranging in age…

In a series of four experiments, the authors begin by replicating Flavell, Shipstead, and Croft's (1980) finding that many children between 2 and 4 years of age will affirm the invisibility both of themselves and of others--but "not" of the body--when the person's eyes are closed. The authors also render explicit certain trends in the Flavell et…

In this study we examine the interplay between curriculum-embedded formative assessment--a well-known teaching practice--and general features of classroom process quality (i.e., cognitive activation, supportive climate, classroom management) and their combined effect on elementary school students' understanding of the scientific concepts of…

Individuals of all ages extract structure from the sequences of patterns they encounter in their environment, an ability that is at the very heart of cognition. Exactly what underlies this ability has been the subject of much debate over the years. A novel mechanism, implicit chunk recognition (ICR), is proposed for sequence segmentation and chunk…

These proceedings contain the papers of the 16th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2019), held during November 7-9, 2019, which has been organized by the International Association for Development of the Information Society (IADIS) and co-organised by University Degli Studi di Cagliari, Italy.…

This book applies the author's easy but effective differentiation strategies to the data analysis and probability content standard. Taking the foundational elements of differentiation in this book, it helps you: (1) assess students' math abilities quickly and efficiently; (2) group children by need; (3) target instruction to meet every student's…

How do we see young children's thinking in science? Is it, as much previous research has led us to believe, that their ideas can be neatly boxed like "brown paper packages tied up with strings"--as the song from "The Sound of Music" goes? Or are their ideas like "wild geese that fly with the moon on their wings" ("Sound of Music"): fluid, complex,…

The 2006 NCTM Sixty-eighth Yearbook focuses on students' and teachers' learning in statistics centered on a set of activities. Topics include the relation between mathematics and statistics, the development and enrichment of mathematical concepts through the use of statistics, and a discussion of the research related to teaching and learning…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…