This study investigates the associations of spontaneous "dynamic gesture" and "transformational speech" with the production of "deductive proofs" in participants' reasoning about geometric conjectures (N=77). Although statistical analysis showed no significant association, the result suggests that purposefully…

Gestures are associated with powerful forms of mathematical understanding. However, determining the causative role of gestures has been more elusive. In the present study, we inhibit students' gestures by restraining their hands, and examine how this impacts their problem-solving when presented with geometric conjectures to prove. We find no…

In recent years, there has been a proliferation of adaptive learner models that seek to predict student correctness. Improvements on earlier models have shown that separate predictors for prior successes, failures, and recent performance further improve fit while remaining interpretable. However, students who engage in "gaming" or other…

Originally designed for students in Grades 3 through 5, MOCCA (formerly the Multiple-choice Online Causal Comprehension Assessment), identifies students who struggle with comprehension, and helps uncover why they struggle. There are many reasons why students might not comprehend what they read. They may struggle with decoding, or reading words…

Grounded and embodied cognition (GEC) serves as a framework to investigate mathematical reasoning for proof (reasoning that is logical, operative, and general), insight (gist), and intuition (snap judgment). Geometry is the branch of mathematics concerned with generalizable properties of shape and space. Mathematics experts (N = 46) and nonexperts…

The Diagnostic Assessment and Achievement of College Skills (DAACS) online system assesses newly enrolled college students' skills in reading, writing, mathematics, and self-regulated learning, and provides individualized feedback and links to resources. The purpose of this study is to examine validity evidence regarding the internal structure of…

This demonstration introduces and presents an innovative online cognitive diagnostic assessment, developed to identify the types of cognitive processes that readers use during comprehension; specifically, processes that distinguish between subtypes of struggling comprehenders. Cognitive diagnostic assessments are designed to provide valuable…