Providing diagnostic feedback about growth is crucial to formative decisions such as targeted remedial instructions or interventions. This article proposed a longitudinal higher-order diagnostic classification modeling approach for measuring growth. The new modeling approach is able to provide quantitative values of overall and individual growth…

The MAP® Growth™ theory of action describes key features of MAP Growth and its position in a comprehensive assessment system. The basic premise of the theory of action is that all students learn when MAP Growth is situated in a comprehensive assessment system and used for its intended purposes to yield information about student learning and enable…

In this article, we extend Liao's test for across-group comparisons of the fixed effects from the generalized linear model to the fixed and random effects of the generalized linear mixed model (GLMM). Using as our basis the Wald statistic, we developed an asymptotic test statistic for across-group comparisons of these effects. The test can be…

The Colorado Growth Model (CGM) was developed jointly by the Colorado Department of Education (CDE), the Technical Advisory Panel for Longitudinal Growth (TAP), and the National Center for the Improvement of Educational Assessment (NCIEA). Its development was required by state statute (SB09-163) and assigned to the Technical Advisory Panel. The…

In a signal detection theory (SDT) approach to multiple choice exams, examinees are viewed as choosing, for each item, the alternative that is perceived as being the most plausible, with perceived plausibility depending in part on whether or not an item is known. The SDT model is a process model and provides measures of item difficulty, item…

This document describes PPfT school-wide value-added measure by showing how to gain access to your SAS Education Value-Added Assessment System (EVAAS) account, stepping through the school growth measures, and discussing how growth is scored in PPfT appraisal.

Increased online learning is helping many appreciate that online grading, formative assessment, and summative testing can cause instructor burnout and leave little time for more productive instructor interactions. We reimagined grading, assessment, and testing in an extended program of design-based research using situative theory to refine online…

The concept of financial literacy, which has become popular as a 21st-century skill, is also a new field for mathematics education. Financial literacy, which has taken place in PISA [Program for International Student Assessment] since 2012, has not only been presented as a separate course and has also increased in density in related courses such…

Multilevel bifactor item response theory (IRT) models are commonly used to account for features of the data that are related to the sampling and measurement processes used to gather those data. These models conventionally make assumptions about the portions of the data structure that represent these features. Unfortunately, when data violate these…

Providing an optimal match in the pace of instruction and level of content increases student engagement and is essential for all students. And while the idea of optimal match makes sense educationally, it can be challenging to determine what pace and level of instruction is optimal for gifted students. Fortunately, there is an effective,…

The majority of states include value-added models (VAMs) or some other measure of student academic growth as a component of their teacher evaluation systems. However, there is considerable disagreement among researchers about whether states and school districts should use student growth measures to make high-stakes personnel decisions. Many…

Two different tools for assessing pedagogical content knowledge (PCK) of mathematics teachers used in the framework of the COACTIV study are systematically compared in this paper, namely the paper-and-pencil test consisting of items on the three facets "knowledge of explaining and representation," "knowledge of student thinking and…

Measures of student disadvantage--or risk--are critical components of equity-focused education policies. However, the risk measures used in contemporary policies have significant limitations, and despite continued advances in data infrastructure and analytic capacity, there has been little innovation in these measures for decades. We develop a new…

This article proposes a latent variable regression four-level hierarchical model (LVR-HM4) that uses a fully Bayesian approach. Using multisite multiple-cohort longitudinal data, for example, annual assessment scores over grades for students who are nested within cohorts within schools, the LVR-HM4 attempts to simultaneously model two types of…

All students should have opportunities to develop their ability to reason mathematically. Gersten and Chard (1999) support this stance with respect to students with learning disabilities: "Even if students are not automatic with basic facts, they still should be engaged in activities that promote the development of number sense and…