This study focused on improving students' learning mathematical of proofs and proving by using combinations of proof strategies that span different levels of understanding of proof structure; we refer to these as 'level-spanning proof-production strategies'. We analysed the level-specific proof-production strategies evident in the lessons and…

Educators rely on a conglomeration of assessment instruments to appraise, measure, monitor, and document evidence of students' academic readiness, learning progressions, acquisition of interdisciplinary knowledge, and extensive educational needs. The Mississippi Academic Assessment Program for Mathematics (MAAP-M) and the i-Ready Assessment…

This study investigated how domain specificity of academic motivation related to the connection between instructional clarity and academic achievement in science and mathematics. It focused on three aspects of domain-specific academic motivation--self-concept, intrinsic value, and utility value--drawing from the Expectancy-Value Theory model. The…

The purpose of this study was to determine if the use of the i-Ready program with a group of eighth grade students, who most were behind on average four years in math, influenced their math achievement and their math attitudes. The i-Ready program is an online adaptive program which school districts are purchasing and are requiring teachers to…

It is generally understood that both clear teacher instruction and orderly classroom climates support student achievement in mathematics. However, to what extent does instructional clarity "compensate" for classroom disorder? In this exploratory study, we analyse data from 8,864 Year 8 students sampled by TIMSS 2019 to investigate the…

This study investigates the time-use patterns of students with learning disabilities during digital mathematics assessments and explores the role of extended time accommodations (ETA) in shaping these patterns. Using latent profile analysis, four distinct time-use profiles were identified separately for students with and without ETA. "Initial…

In educational and psychological research, it is common to use latent factors to represent constructs and then to examine covariate effects on these latent factors. Using empirical data, this study applied three approaches to covariate effects on latent factors: the multiple-indicator multiple-cause (MIMIC) approach, multiple group confirmatory…

Representation is widely viewed as central to mathematical problem solving, while online scaffolding is considered helpful in supporting learners' progress from actual to potential developmental levels of mathematics understanding. Therefore, this study investigated the effectiveness of employing online single vs. multiple representational…

This study aims to compare the performance of different small sample equating methods in the presence and absence of differential item functioning (DIF) in common items. In this research, Tucker linear equating, Levine linear equating, unsmoothed and pre-smoothed (C=4) chained equipercentile equating, and simplified circle arc equating methods…

Part of learning a new discipline is learning the language used in the discipline. For mathematics, emergent multilingual learners (EML) must learn English and mathematical symbols in order to make meaning and communicate. The mathematics community's understanding of communication is complex and includes the use of natural language, incorporation…

Adaptive learning systems personalize instruction to students' individual learning needs and abilities. Such systems have shown positive impacts on learning. Many schools in the United States have adopted adaptive learning systems, and the rate of adoption in China is accelerating, reaching almost 2 million unique users for one product alone in…

The aim of this study was to investigate the effect of using dynamic geometry software (GeoGebra) on the eighth-grade students' conceptual understanding and the retention of learning regarding linear equations and slope. In this study, a quasi-experimental design with pre-test, post-test and delayed post-test was employed. This study was conducted…

The math intervention program, Assessment and Learning in Knowledge Spaces (ALEKS), at a Public Middle School (pseudonym) in the Northeast United States, was implemented for eighth grade middle school math students, but researchers have not measured its effectiveness. Grounded in the cultural relevance pedagogy, the purpose of this quantitative…

The Chinese government has implemented centralised science curriculum standards to change science teaching from a didactic to inquiry-based approach to support all students in acquiring science literacy. Framed through theoretical perspectives of inquiry-based instruction and cultural pedagogy, this study examined the influence and impact of these…

Linking score scales across different tests is considered speculative and fraught, even at the aggregate level. We introduce and illustrate validation methods for aggregate linkages, using the challenge of linking U.S. school district average test scores across states as a motivating example. We show that aggregate linkages can be validated both…