The aim of this study was to develop an instrument for assessing sixth-grade students' number sense skills in fractions and decimals. This study was conducted on 452 sixth graders (10-11 years old) from the western region of Turkey. The construct validity of the number sense test (NST) was examined via exploratory factor analysis (EFA) and…

This study details the construction of parameters for generating subskill mastery math measures to be used for screening, intervention planning, progress monitoring, and proximal program evaluation. Parameters for generating assessment measures were built and tested to verify initial equivalence of generated measures using potential digits correct…

Several school districts in Georgia use two teacher-administered diagnostic assessments of student knowledge of mathematics as part of their multi-tiered system of support in grades K-8: the Global Strategy Stage (GloSS; New Zealand Ministry of Education, 2012) and the Individual Knowledge Assessment of Number (IKAN; New Zealand Ministry of…

This document are the appendixes for the report, "The Reliability and Consequential Validity of Two Teacher-Administered Student Mathematics Diagnostic Assessments." Rather than relying on occasional testimonials from the field, decisions about using diagnostic assessments across the state should be based on psychometric data from an…

Teachers need to assess their students' current level of mathematical understanding to provide appropriate interventions for students who are struggling. Several school districts in Georgia currently use two assessments for this purpose--the Global Strategy Stage (GloSS) and the Individual Knowledge Assessment of Number (IKAN). The IKAN is…

Developing mathematics proficiency requires an understanding of mathematics vocabulary. Although previous research has developed several measures of mathematics vocabulary at different grade levels, no study focused solely on fraction vocabularies. We developed and tested a measure of fraction vocabulary for students in Grade 4 to determine the…

This study investigated the reliability and validity of the Abbreviated Math Anxiety Scale (AMAS; Hopko, Bare, & Hunt, 2003) and the Math Anxiety Scale -- Revised (MAS-R; Bai, 2009) across race and gender as well as the extent to which race and gender predict learning math anxiety and math evaluation anxiety at both the secondary level, which…

An essential question when computing test--retest and alternate forms reliability coefficients is how many days there should be between tests. This article uses data from reading and math computerized adaptive tests to explore how the number of days between tests impacts alternate forms reliability coefficients. Results suggest that the highest…

Science, technology, engineering, and mathematics (STEM) problem-solving is necessary to be infused into the classroom. Nevertheless, the criticism of underrepresented mathematics in STEM problem-solving assessment is an issue. In this study, we develop and investigate the psychometric evidence of an integrated STEM-based mathematical…

This paper reviews overall student performance as well as the performance of student subgroups on the assessment system developed in response to the Massachusetts Education Reform Act of 1993 (MERA), the Massachusetts Comprehensive Assessment System (MCAS). Comparing students in Massachusetts to students in the rest of the United States or against…

Successful early mathematical development is vital to children's later education, employment, and wellbeing outcomes. However, established measurement tools are infrequently used to (i) assess children's mathematical skills and (ii) identify children with or at-risk of mathematical learning difficulties. In response, this pre-registered systematic…

The Content Proximity Project was designed to improve the content validity of the MAP® Growth™ assessments while retaining the ability for the test to adapt off-grade and meet students wherever they are in their learning. Two main features of the project were the development of an enhanced item selection algorithm, and a spring pilot study…

A large-scale simulation study of the assessment effectiveness of a particular instantiation of knowledge space theory is described. In this study, data from more than 700,000 actual assessments in mathematics using the ALEKS (Assessment and LEarning in Knowledge Spaces) software were used to determine response probabilities for the same number of…

While research suggests that mathematical modeling is accessible to elementary grade students, questions remain about how to assess modeling competency. Our research addresses this need through the systemic design and empirical testing of a Mathematical Modeling Student Assessment (MMSA) for elementary grades 3 through 5. Research questions focus…

In this research, a new test for understanding simple fractions has been developed for students at the beginning of lower secondary education. In many countries, mathematics education in Grade 5 builds on elementary students' developing concepts of fractions. Understanding fractions causes many difficulties for students, and research on mental…