Counterfactual reasoning is the ability to reason about how the world might have been if past events or states had been different. It is helpful for making sense of past experiences to create future blueprints. Languages like English apply subjunctive forms to directly mark counterfactual premises. In contrast, Chinese does not apply subjunctive…

There is growing interest in the construct of "transduction", first introduced by (Kress, Cope and Kalantzis (eds), Multiliteracies: Literacy learning and the design of social futures pp.153-161, Routledge, 2000), p. 159) to name how meanings in one mode are remade in another. Science educators now broadly agree that students need to…

Education researchers are deeply interested in understanding the way students organize their knowledge. Card sort tasks, which require students to group concepts, are one mechanism to infer a student's organizational strategy. However, the limited resolution of card sort tasks means they necessarily miss some of the nuance in a student's strategy.…

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 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…

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…

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…

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…

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…