This study aimed to compare different mediation analysis methods (BK, Sobel, and bootstrapping) based on single mediation models for groups of different sizes. For this purpose, the PISA 2012 data for Turkey were used. In order to compare the mediation analysis methods, 4,848 students from Turkey that participated in PISA 2012 were divided into…

To contribute to the sparse educational research on student understanding of eigenspace, we investigated how students reason about linear combinations of eigenvectors. We present results from student reasoning on two written multiple-choice questions with open-ended justifications involving linear combinations of eigenvectors in which the…

The numeracy capabilities of pre-service teachers are a recent focus in the Australian educational system. In this article, we discuss findings from an analysis of data from the Literacy and Numeracy Test for Initial Teacher Education Students (LANTITE), which is administered by the Australian Council for Educational Research. In our analysis, we…

The purpose of this study was to compare students' results in mathematics from a large-scale standardized assessment, the National Assessment Program: Literacy and Numeracy (NAPLAN), with a set of teacher-developed, school-based assessments. A case study of an all-boys secondary school in Sydney, New South Wales, Australia, was conducted over…

The aim of this study is to examine the mistakes made by students in the use of logical connectives while simplifying algebraic equations and inequalities, and the extent to which teachers are aware of these mistakes and how they assess them. The study was conducted among 50 ninth grade students and 63 practicing teachers of mathematics. The data…

To address student misconceptions and promote student learning, use discussion questions as an alternative to reviewing assessments. This article describes how using discussion questions as an alternative to going over the test can address student misconceptions and can promote student learning.

Nearly two dozen states now administer online exams to deliver testing to K-12 students. These tests have real consequences: their results feed into accountability systems, which have been used for more than a decade to hold schools and districts accountable for their students' learning. We examine the rollout of computer-based testing in…

The purpose of this study was to examine the effects of a vocabulary tutoring intervention with defining key vocabulary terms and algebraic problem-solving skills of students who struggle with mathematics. Literature shows that there is a need to further explore how students with mathematical learning difficulties learn mathematics vocabulary at…

The purpose of this mixed methods study was to investigate relationships between students' ALEKS usage, teachers' implementation of ALEKS, and student performance on the 2017-2018 LEAP 2025 mathematics assessment. The quantitative portion of the study involved district-level analyses and teacher-level analyses that explored relationships between…

Partners to Lead (PtL) is a school leadership professional development (PD) project funded by a 5-year Education Innovation and Research grant and implemented by the DuPage, Illinois, Regional Office of Education (ROE) in 37 public elementary, middle, and high schools in four Illinois ROEs. The American Institutes for Research® (AIR®), the…

Understanding the long-standing educational inequities associated with socioeconomic status remains significant for transforming educational policies and practices. To better understand entanglements among socioeconomic status and students' performance in mathematics, we examined different home factors (including language of the test) that…

Given the ongoing development of computer-based tasks, there has been increasing interest in modelling students' behaviour indicators from log file data with contextual variables collected via questionnaires. In this work, we apply a latent regression model to analyse the relationship between latent constructs (i.e., performance, speed, and…

Two broad categories of instructional practices, (a) explicitly attending to concepts and (b) fostering students' opportunities to struggle, have been consistently linked to improving students' mathematical learning and achievement. In this article, we describe an effort to build these practices into a framework that is useful for a diverse set of…

The review of "Endrew F. v. Douglas County School District" case revealed that an Individualized Education Program (IEP) requires inclusion of specific measurable goals to ensure educational benefit. The purpose of this article is to provide a systematic approach to progress monitoring IEP goals in mathematics, which monitors whether a…

This study examines two 5-year longitudinal data sets of community college students (n = 595 and n = 593) to explore factors associated with successful outcomes in developmental mathematics. Logistic regression models consider the role of demographic factors, course format, and student support structures on the likelihood of a student completing…