Background: Errors can provide informative feedback and exhibit a high potential for learning gains. Affective-motivational and action-related reactions to errors are two forms of error adaptivity that have been shown to enhance learning outcomes from errors. However, little is known regarding the development and contextual conditions of students'…

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…

School-aged 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…

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…

English orthography differs from that of other European languages in terms of complexity and regularity. This difference may impact the development of accurate spelling in English, especially when it is learned as a foreign language in school. In this study we wanted to explore spelling development patterns of Spanish speaking children learning…

The purpose of this research was to develop and evaluate a number sense-based curriculum aiming to eliminate student errors due to mathematical misconceptions. A mixed method research model as one of the qualitative research approaches was adopted in this study aiming to develop a number sense-based instructional design to eliminate student errors…

In the present study, researchers used problem-posing instruction to examine elementary students' understanding of multiplication. Students in fourth and fifth grade classrooms (n = 24) from a rural school district participated in a semester-long study. The focus of this study was examining student solutions to two specific lessons with problems…

Background: In opaque orthographies, such as English, children with low reading skills tend to rely more on semantic information due to their inadequate acquisition of sub-lexical knowledge. This tendency has also been reported for kanji, a non-alphabetic and opaque Japanese orthography. However, previous studies on this phenomenon have had…

A one-on-one dialogue-based mathematics intelligent tutoring system (ITS) for learning multiplication and division of fractions was developed and evaluated in this study. This system could identify students' error types and misconceptions in real-time by using a block-based matching method. The adaptive dialogue-based instruction was supported by…

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…

In this paper, we have tried to clearly explain the meaning of fractions and operations with fractions. Also, we have tried to illustrate with some examples how to apply the rules of operations with fractional numbers, giving different practical techniques through different figures, visualization methods, and concretizing problems. The paper…

This study aims to reveal fifth grade students' achievement levels in the angles sublearning area and to examine their errors in the subject of angles. The study was designed as a survey, and the study group included a total of 254 fifth grade students attending school in central Nevsehir and in Askale, Erzurum. Data were collected via the…

Solving mathematical problems is cognitively complex, involving strategy formulation, solution development, and the application of learned concepts. However, gaps in students' knowledge or weakly grasped concepts can lead to errors. Teachers play a crucial role in predicting and addressing these difficulties, which directly influence learning…