While research on the opportunity to learn about mathematics concepts provided by textbooks at the secondary level is well documented, there is still a paucity of similar research at the undergraduate level. Contributing towards addressing this knowledge gap, the present study examined opportunities to engage in quantitative and covariational…

Mechanical reasoning is crucial for many engineering fields, yet undergraduate engineering students struggle to understand discipline-specific formalisms from their courses that model mechanical concepts. The current investigation observed undergraduate engineering students' speech during mechanical reasoning and the benefits of attending to…

A common feature of many assessment plans is the use of multiple-choice questions. Although there are criticisms of multiple-choice questions, this assessment format is here to stay--multiple-choice questions are effective means of evaluation in large classes, central to many licensing and entry exams, used in most adaptive learning platforms, and…

Mechanistic reasoning about an artifact or system involves thinking about its underlying entities and the properties, activities, and cause-effect relationships of those entities. Previous studies of children's mechanistic reasoning about engineering solutions have mostly focused on specific mechanical systems such as gear trains. Yet there is…

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…

Students frequently turn to the internet for information about a range of scientific issues. However, they can find it challenging to evaluate the credibility of the information they find, which may increase their susceptibility to mis- and disinformation. This exploratory study reports findings from an instructional intervention designed to teach…

Procedural and conceptual e-scaffolding has been shown to be effective for assisting novice learners in understanding new concepts. Its integration with modelling instructions (E-MI) raises expectations for improving scientific reasoning (SR) in students whose level is still a concern in Indonesia. A quasi-experimental study was conducted to find…

This study investigates the effect of a professional development program designed to develop prospective mathematics teachers' ability to notice students' proportional reasoning. It examines how those teachers attended to student thinking, how they interpreted it, and how they decided to respond. Sixteen prospective teachers (PSTs) at a state…

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…

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…

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…