Arithmetic fluency is regarded as a foundational math skill, typically measured as a single construct with pencil-and-paper-based timed assessments. We introduce a tablet-based assessment of single-digit fluency that captures individual trial response times across several embedded experimental contrasts of interest. A large (n = 824) cohort of…

Mathematics assessments should allow all students opportunities to demonstrate their knowledge and skills as problem solvers. Looking at textbook word problems, the authors share a process for revising them using Universal Design for Learning (UDL). Outlined in detail here are problems for kindergarten, grades 5 and 7, and high school (algebra).

Research Purpose and Contribution: The study aimed to construct an evaluation framework for assessing pupils' computational thinking (CT) during classroom learning problem solving. As a self-report evaluation scale for pupils, this evaluation framework further enriched the CT assessment instruments for pupils and provided a specialized instrument…

Research indicates that STEM-integrated curricula and pedagogies have the potential to support student learning, nurture interest in STEM disciplines, and prepare students for future careers (Apedoe et al. 2008). Through engagement in these fields, students can develop the ability to think critically, solve intricate problems, and drive…

Recent work has demonstrated that having students study worked examples and answer self-explanation prompts as part of their problem-solving practice improves learning on researcher-developed measures of mathematical proficiency. However, little work has been done to date to investigate whether these benefits translate to improvements on the types…

Recent work has demonstrated that having students study worked examples and answer self-explanation prompts as part of their problem-solving practice improves learning on researcher-developed measures of mathematical proficiency. However, little work has been done to date to investigate whether these benefits translate to improvements on the types…

For children with persistent mathematics difficulties, research and practice espouses that an altered kind of mathematics instruction is necessary due to sustained performance differences. Yet, a critical issue in mathematics education rests in the question of why research locates the problem within these children. In this paper, we challenge a…

Background and Context: In today's increasingly digital world, it is critical that all students learn to think computationally from an early age. Assessments of Computational Thinking (CT) are essential for capturing information about student learning and challenges. When programming is used as a vehicle to foster CT skills, assessment of CT…

We examined the type of errors on multiplication and division computation problems of 326 rising fifth graders enrolled in four elementary schools in Northern Portugal. We further examined whether there was a difference in the number of errors across age and whether there was an association between students' performance on number knowledge and…

In 1984 Benjamin Bloom stated that one-to-one tutorial support increased students' achievement by two standard deviations (two sigma problem). In the literature for solving two sigma problem (in order to increase student achievement), many systems were developed as intelligent tutoring systems, adaptive hypermedia systems, recommender systems and…

The purpose of this study was to revise and revalidate the scoring procedure of the DISCOVER Mathematics Assessment to allow evaluators to better measure creative problem solving ability in mathematics, identify gifted students, and evaluate the programs for creative problem solving. The data consisted of scores of 233 students selected from five…

This paper marks the second in a series of five reports detailing the work of the Optimizing Assessment for All (OAA) project at Brookings to strengthen education systems capacity to integrate 21st century skills into teaching and learning, using assessment as a lever for changing classroom practices. Twenty-first century skills (21CS) are now…

Curriculum Associates' "i-Ready® Personalized Instruction" ("i-Ready") is a supplemental, online personalized instruction program available for mathematics and reading. Prior research has indicated "i-Ready" has a positive impact on student achievement for students overall (e.g., Swain, Randel, & Norman Dvorak,…

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…

Current thinking encourages teachers to incorporate a range of assessment practices that are responsive to student thinking and promote student learning. At the same time, teachers are situated in a landscape of accountability, where they are often seen as technicians who implement prescribed curriculum, policies, and procedures with success…