The application of decomposition strategies (i.e., associative or distributive strategies) in two-digit multiplication problem solving supports algebraic thinking skills essential for later complex mathematical skills like solving algebra problems. Use of such strategies is also associated with improved accuracy and speed in mathematical problem…

In this paper we present a novel adaptation of a tri-phase assessment tool, originally devised to investigate students' linear equations-related strategy flexibility, to evaluate Danish grade-six students' multidigit arithmetic-related strategy adaptivity and flexibility. Participants, 731 students, median age 12 years and drawn from 20…

In this paper, the multidigit arithmetic-related strategy adaptivity, strategy flexibility and solution accuracy of Danish compulsory school students is examined. Participants, 749 grade three, 731 grade six and 818 grade eight, were drawn from twenty demographically different schools. Drawing on a tri-phase assessment tool, each student completed…

Background: Spatial problem-solving is an essential skill for success in many engineering disciplines; thus, understanding the cognitive processes involved could help inform the design of training interventions for students trying to improve this skill. Prior research has yet to investigate the differences in cognitive processes between spatial…

Response times (RTs) facilitate the quantification of underlying cognitive processes in problem-solving behavior. To provide more comprehensive diagnostic feedback on strategy selection and attribute profiles with multistrategy cognitive diagnosis model (CDM) and utilize additional information for item RTs, this study develops a multistrategy…

Teacher learning in asynchronous online professional development (PD) is often measured by self-reported instruments, despite uncertainties regarding teachers' accuracy in their self-assessment of learning. This study explored whether teachers' self-reported "gains" in content knowledge for teaching aligned with those measured by direct…

Deciding what items to restudy is an important aspect of self-regulated learning. Previous research (Robey et al. "Psychological Science," 28(11), 1683-1693, 2017) reports that having learners make different types of metacognitive judgments affects restudy decisions. More specifically, when learners made retrospective confidence…

This study explores student flexibility in mathematics by examining the relationship between accuracy and strategy use for solving arithmetic and algebra problems. Core to procedural flexibility is the ability to select and accurately execute the most appropriate strategy for a given problem. Yet the relationship between strategy selection and…

The present study explored the accuracy of participants' (N = 317) metacognitive awareness (self-reported difficulty and confidence) of psychology concepts and the moderating effects of their psychology background (academic major, number of psychology courses completed, and overall psychology course grades). Participants first rated the difficulty…

Many students persistently misinterpret histograms. This calls for closer inspection of students' strategies when interpreting histograms and case-value plots (which look similar but are different). Using students' gaze data, we ask: "How and how well do upper secondary pre-university school students estimate and compare arithmetic means of…

Researchers in second language (L2) and education domain use different statistical methods to assess their constructs of interest. Many L2 constructs emerge from elements/parts, i.e., the elements "define" and "form" the construct and not the other way around. These constructs are referred to as emergent variables (also called…

This electroencephalography (EEG) study tested the benefits of generative learning and the underlying neural mechanism of these benefits when learning from video lectures. Twenty-six Chinese young adults independently viewed two video lectures in a repeated measures design. Each video lecture was broken into 40 segments, and after each segment,…

Help seeking is a key component of many systems of self-regulated learning (SRL). Prior research has noted how motivational and other aspects of SRL relate to students' engagement in help seeking and endorsement of types of help seeking (i.e., adaptive, expedient, and avoidant). This study examines specific antecedents to help seeking--monitoring…

Self-regulated learning (SRL) plays a significant role in promoting academic success in online education. In recent years, attention has focused on using new techniques to promote SRL--one of which is the recommender system. However, there has been little discussion of the actual effects of using recommender systems to facilitate SRL skills among…

Many studies have used fraction magnitude comparison tasks to assess people's abilities to quickly assess fraction magnitudes. However, since there are multiple ways to compare fractions, it is not clear whether people actually reason about the holistic magnitudes of the fractions in this task and whether they use multiple strategies in a flexible…