We propose an adaptation of the Glicko-2 rating system in a K-12 math learning software setting, where variable time intervals between solution attempts and the stratification of student-item pairings by grade levels necessitate modification of the original model. The discrete-time stochastic process underlying the original system has been…

We developed assessment tasks aligned to the Next Generation Science Standards (NGSS) that require students to use argumentation and explanation practices along with disciplinary core ideas and crosscutting concepts to make sense of energy-related phenomena. Scoring rubrics were created to evaluate students' ability to make accurate claims, cite…

Dynamic program visualization tools helps to reduce the cognitive load of students in learning programming. However, to authors' understanding there is no dynamic program visualization tool that can be used in a widely available smartphones. In this study, we design a Dynamic visualization engine for java programs that is integrated to java code…

Energy is a core concept in the teaching of science. Therefore, it is important to know how students' thinking about energy develops so that elementary, middle, and high school students can be appropriately supported in their understanding of energy. This study tests the validity of a proposed theoretical model of students' growth of understanding…

This analysis identifies six problems with the the popular terms "rigorous academic curriculum" and "academic rigor": they bear multiple meanings, they contain negative connotations, they are survivals from the discredited learning theory called mental discipline, they have more to do with status than substance, they refer to an over-narrow…

The population sensitivity of vertical scaling results was evaluated for a state reading assessment spanning grades 3-10 and a state mathematics test spanning grades 3-8. Subpopulations considered included males and females. The 3-parameter logistic model was used to calibrate math and reading items and a common item design was used to construct…

Operational testing programs employing item response theory (IRT) applications benefit from of the property of item parameter invariance whereby item parameter estimates obtained from one sample can be applied to other samples (when the underlying assumptions are satisfied). In theory, this feature allows for applications such as computer-adaptive…

It is generally considered that diagram use aids efficacy of math word problem solving. While understanding diagrams is considered important in both New Zealand and Japanese secondary schools, there is an additional emphasis in New Zealand schools for students to appreciate their use as tools for problem solving and communication. This study…