We investigate students' eye movements when they solve sequential and simultaneous synthesis physics problems. In sequential synthesis problems, multiple events occur chronologically, whereas in simultaneous synthesis problems, multiple events take place concurrently. We captured students' eye fixations on each problem diagram and recorded their…

Building from the evidence-based learning progression in geometric reasoning from the RMFII project, this paper presents data from students' solutions to three problems in geometry and measurement situations to identify key components needed to nurture reasoning. To show emerging analytical reasoning students must coordinate multiple pieces of…

Background: The worked example effect in cognitive load theory suggests that providing worked examples first followed by solving similar problems would facilitate students' learning. Using problem solving-worked example sequence is another way of implementing example-based instruction. Although research has demonstrated the superiority of worked…

K-12 students are expected to acquire competence in data display as part of developing statistical literacy. To support research, assessment design, and instruction, we developed a hypothesized learning progression (LP) using existing empirical literature in the fields of mathematics and statistics education. The data display LP posits a…

Self-regulated learning is optimized when instructional supports are provided. We evaluated three supports for self-regulated simulation-based training: practice schedules, normative comparisons, and learning goals. Participants practiced 5 endoscopy tasks on a physical simulator, then completed 4 repetitions on a virtual reality simulator. Study…

Children with Developmental Language Disorder (DLD) have difficulties acquiring the grammatical rules of their native language. It has been proposed that children's detection of sequential statistical patterns correlates with grammatical proficiency and hence that a deficit in the detection of these regularities may underlie the difficulties with…

The concept of variability is central to statistics. In this research report, we review mathematics education research on variability and, based on that review and on feedback from an expert panel, propose a learning progression (LP) for variability. The structure of the proposed LP consists of 5 levels of sophistication in understanding…

The present study was intended to compare age effects on visual and spatial working memory by using two versions of the same task that differed only in presentation mode. The working memory task contained both a simultaneous and a sequential presentation mode condition, reflecting, respectively, visual and spatial working memory processes. Young…

This paper provides a detailed empirical account of the performances of 8- to 9-year-olds and 11- to 12-year-olds on a chore-scheduling task developed to assess the dynamics of planning processes. In developing the planning task for revealing different levels of planning proficiency, five critical aspects of planning were taken into account: the…