Barlow et al. (2018) discussed three types of mistakes worthy of inspection: procedural errors, inappropriate solution processes, and misconceptions. Here, the authors focus on procedural errors, as these often led the teachers in their professional development project to limit their inspection of mistakes to correcting. Despite this narrow focus,…

Students' understanding of negative integers is an important aspect of learning mathematics as it is a requirement for learning broader mathematical concepts. The purpose of this research is to explore students' initial perceptions in understanding negative integers on a number line. This descriptive exploratory qualitative research was conducted…

School-age English learners (ELs) are faced with the challenging task of acquiring a foreign language while simultaneously reading academically demanding literature. Therefore, the current research aimed to examine the relation between the rate of grammatical tense marking errors made by ELs and their performance on measures of reading…

When learning about fractions, teaching usually follows certain topics -- e.g. part of the whole, fraction equivalence, and size comparison. Not yet answered is whether students' conceptual and procedural knowledge of fractions is coherent between those topics. To answer this question, we performed a latent profile analysis of data from N = 1005…

Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…

Previous research examining comparison relations in word problems primarily focused on students' achievements in word problems with one operation. In this paper, we extend previous research to examine the achievement of students of different ages on word problems that integrate compare and combine word problems, hereafter referred to as…

This study examines the impact of the College, Career, and Community Writers Program (C3WP) on upper-elementary students' first draft writing quality, addressing the challenges teachers face in providing timely and effective feedback on extensive student writing, particularly in spelling, grammar, mechanics, and cohesion. The hypothesis posits…

Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…

Because word problems present mathematical information through a scenario, they are language-intensive and require mathematical and reading comprehension skills to solve them. In addition, they are linguistically complex, which makes them challenging for all learners, especially multilingual learners. Given the rising number of dual-language…

The purpose of this study was to evaluate the types of spelling errors made by children with mild to moderate hearing loss (CMMHL) compared with children with typical hearing (TH) and to determine if types of spelling errors were related to linguistic or audiologic factors. CMMHL and TH completed measures of spelling, spoken language, speech…

Whole number computations are a critical skill that serves as a foundation upon which higher-order concepts in mathematics are taught to children. To facilitate their instruction, educators often use multiple representations to support a child's cognition. Representations with physical manipulatives are widely studied through a graduated…

Reading fluency involves a complex interaction of different cognitive skills and abilities that develop with instruction and practice and relies on the automaticity of many distinct reading skills (e.g., pacing, word recognition, expression, phonological awareness). Fluent reading frees cognitive resources, such as working memory, for more…