A hallmark of effective teaching is that it grants learners not just a collection of facts about the world, but also a toolkit of abstractions that can be applied to solve new problems. How do humans teach abstractions from examples? Here, we applied Bayesian models of pedagogy to a necklace-building task where teachers create necklaces to teach a…

Adaptive number knowledge represents the understanding and use of numerical characteristics and relations. However, there is a lack of knowledge about the role of adaptive number knowledge in solving problems that require the recognition of patterns. Therefore, we studied 61 sixth grade students' adaptive number knowledge and its connections to…

Studying complex interactions between variables to comprehend phenomena can be challenging for students of all ages. Simulations are often used to facilitate exploratory learning of complex phenomena, but students still face difficulties in comprehending interactions between factors. This study examined the comparative effectiveness of the…

This article reviews the embodied theoretical basis for the meaningful learning of abstract vocabulary and reviews selected educational programs that are theoretically based and have both success and promise for abstract vocabulary development. Abstract vocabulary is a mainstay of academic vocabulary, but its nature and educational development are…

In recent years, big data has become ubiquitous in our day-to-day lives. Therefore, it is imperative for educators to integrate nontraditional (big) data into statistics education to ensure that students are prepared for a big data reality. This study examined graduate students' expressions of uncertainty while engaging with traditional and…

We explore how the concept of abstraction, which is central to mathematical activity, can lead to detachment or attachment to land, nature, culture, language, and heritage in Indigenous contexts. We wonder if students detach themselves from mathematics because they feel mathematics asking them to detach themselves from people and places to whom…

Angularity is a persistent quantity throughout K-12+ school mathematics, and many studies have shown that individuals often conflate angularity with linear attributes (e.g., the length of an angle model's sides). However, few studies have examined the productive ways in which students might reason about angularity while attending to linear…

The use of analogies is a well-known teaching strategy to bridge unfamiliar and familiar concepts. However, analogies may become ineffective if the familiar concept is not familiar anymore. For example, this may occur when we describe rotational sense as clockwise and counterclockwise, assuming students know how to read a clock with hour and…

The starting reasoning and promoting switch from intuitive system 1 to deliberate system 2 for provoking creative thinking is lacking feasible model, especially during the global pandemic. We established a visible, trainable and learnable (VTL) model with digital technique to promote this dual switch for creative thinking. This study was…

An accurate assessment of cognitive abilities in populations that differ from the majority in cultural and linguistic characteristics is one of the main challenges in cognitive testing. Previously developed methods for assessment of the validity of cognitive scores in individuals with diverse backgrounds, such as the Culture-Language…

Research in engineering ethics has assessed the ethical reasoning of students mostly in the US. However, it is not clear that ethical judgements are primarily the result of reasoning or that conclusions based on US samples would be true of global populations. China now graduates and employs more STEM majors than any other country, but the moral…

The aim of this study is to examine how algorithmatizing tasks engage mathematics students in algorithmic thinking. Structured, task-based interviews were conducted with eight Year 12 students as they completed a sequence of algorithmatizing tasks involving maximum flow problems. A deductive-inductive analytical process was used to first classify…

Literature on student ideas about circuits largely focuses on misunderstandings and difficulties, with seminal papers framing student thinking as stable, difficult to change, and connected to incorrect ontological categorizations of current as a thing rather than a process. In this paper, we analyzed 417 student responses to a conceptual question…

An important aspect of executive functioning is the ability to flexibly switch between behavioral rules. This study explored how considering the multidimensionality of objects affects behavioral rule switching in 3-year-old children. In Study 1 (N = 40), children who participated in a brief game separating and aggregating an object's dimensions…

In the property listing task (PLT), participants are asked to list properties for a concept (e.g., for the concept "dog," "barks," and "is a pet" may be produced). In conceptual property norming (CPNs) studies, participants are asked to list properties for large sets of concepts. Here, we use a mathematical model of…