The Partnership for Assessment of Readiness for College and Careers (PARCC) is a group of states working together to develop a set of assessments that measure whether students are on track to be successful in college and their careers. These high-quality, computer-based K-12 assessments in mathematics and English language arts/literacy (ELA/L)…

This paper reports on a mathematics intervention initiative, "Prepare 2 Learn," designed taking into account research literature and elements of other successful programs. The program was intended to prepare students for their upcoming mainstream mathematics lessons as well as make them aware of the impact they can have on their own…

In a randomized field trial with 2,850 seventh-grade mathematics students, we evaluated whether an educational technology intervention increased mathematics learning. Assigning homework is common yet sometimes controversial. Building on prior research on formative assessment and adaptive teaching, we predicted that combining an online homework…

States are establishing high stakes assessments to serve as measurement tools of students' academic abilities. This study essentially compares Maryland's and Florida's mathematics and science assessments for similarities and differences. Building from 5-10 years of student level quantitative data (secondary data) and critical analyses of the…

This module describes and extends X-to-Y regression measures that have been proposed for use in the assessment of X-to-Y scaling and equating results. Measures are developed that are similar to those based on prediction error in regression analyses but that are directly suited to interests in scaling and equating evaluations. The regression and…

It is a well-known problem in testing the fit of models to multinomial data that the full underlying contingency table will inevitably be sparse for tests of reasonable length and for realistic sample sizes. Under such conditions, full-information test statistics such as Pearson's X[superscript 2] and the likelihood ratio statistic G[superscript…

We contrasted portrayals of the achievement gap on the North Carolina state mathematics assessment for students with disabilities (SWD) using two different ways of identifying this group of students. The first method used students' disability status in third grade as the basis for identifying SWD, and then tracked the achievement gap between SWD…

This work seeks to portray the trend (pattern) in the General Certificate of Education (GCE), Ordinary Level mathematics performance of secondary school students of the North West Region of Cameroon, across the years 2007-2013. To achieve this, an expost facto research design was used. Furthermore, the population of the study was all the 171,187…

The complex nature of multiplicative thinking can be challenging for students and teachers to navigate. We report on the impact on student learning of school-based professional learning that targeted teachers' pedagogical content knowledge related to Multiplicative Thinking. Analysis of Year 4 students' longitudinal data indicated greater growth…

There is widespread concern about the reduction in the number of students in Australia studying calculus-based mathematics courses in the final year of secondary education. Over the last 20 years in New South Wales, we have seen a dramatic increase in the number of students studying general mathematics in place of calculus courses. The concern…

The purpose of this study was to examine early mathematical skill differences among preschool children in US Head Start classrooms. Latent class analysis based on six early mathematical subtest scores (i.e. counting aloud, measurement, counting objects, numbers and shapes, pattern recognition, and grouping) from a sample of 279 Head Start children…

In this study it is investigated to what extent contextualized and non-contextualized mathematics test items have a differential impact on examinee effort. Mixture item response theory (IRT) models are applied to two subsets of items from a national assessment on mathematics in the second grade of the pre-vocational track in secondary education in…

International trended assessments have long attempted to provide instructional information to educational researchers and classroom teachers. Studies have shown that traditional methods of item analysis have not provided specific information that can be directly applicable to improve student performance. To this end, cognitive diagnosis models…

This paper explores the views of a group of students who took an oral performance assessment in a first-year mathematics module. Such assessments are unusual for most subjects in the UK, but particularly within the generally homogenous assessment diet of undergraduate mathematics. The evidence presented here resonates with some, but not all, of…

It is no secret that disadvantaged children are more likely to struggle in school. For decades now, public policy has focused on how to reduce the achievement gap between poorer students and more-affluent students. Despite numerous reform efforts, these gaps remain virtually unchanged--a fact that is deeply frustrating and also a little confusing.…