This qualitative empirical study uses interview data from 16 secondary school students in Austria, who experienced lessons in Critical Mathematics Education (CME), to understand how students perceive a CME approach. Despite the long theoretical tradition and the existence of practical reports from the teacher perspectives, there is a lack of…

Children start preschool with large individual differences in their early numerical abilities. Little is known about the importance of heterogeneous patterns that exist within these individual differences. A person-centered analytic approach might be helpful to unravel these patterns and the cognitive and environmental factors that are associated…

The purpose of this study was to investigate the effect of incorporating higher order thinking skills (HOTS) in a school-based assessment (SBA) on mathematics achievement among students. A mixed-method case study design was used to assess a sample size of 158 students and three mathematics teachers. The students' proficiency in mathematics was…

Cheating is a common human behavior but few studies have examined its emergence during early childhood. In three preregistered studies, a challenging math test was administered to 5- to 6-year-old children (total N = 500; 255 girls). An answer key was present as children completed the test, but they were instructed to not peek at it. In Study 1,…

Pre-service mathematics teachers (PSTs) enter university with diverse beliefs and understandings of teaching and learning; yet, they may not be aware of how these conceptions are related to their epistemological and efficacy beliefs. This study explored how the mathematical beliefs, mathematics self-efficacy, and mathematics teaching efficacy of…

The growing interest in classroom discourse reflects a wide recognition within the mathematics education community of the critical role of social interactions in the joint construction of mathematics knowledge. An extensive body of empirical and theoretical work has been undertaken in the last two decades to characterise the types of classroom…

Word problems are frequently used in school mathematics to offer students the opportunity to explore mathematical relationships and structure. However, previous studies have reported that word problems are misused or abused in ways that overlook the original intent of exploring mathematical structure and relationship. This study aims to share a…

We discuss and examine a numerical indicator--the individual gain--of students' engagement and mathematical growth in relation to an instructor's course aims and goals. The individual gain statistic assesses the fractional amount an individual student improves initial-test to final-test. We argue that an initial-test score and a final-test score,…

To analyze the impact of illustrations on solving mathematical word problems for primary school students, in this study we investigated systematically the functions of illustrations in terms of various presentations of texts and illustrations, and the difficulties associated with various learning materials. The characteristics of eye movement were…

In this survey paper we focus on mathematics learning in Chinese contexts, as a way to contribute to broader discussions about mathematical learning. We first review the features of Chinese students' mathematical learning depicted in the literature, followed by a review of student mathematical learning in recent Chinese research journals. This…

Research on instructional quality has been of great interest for several decades, leading to an immense and diverse body of literature. However, due to different definitions and operationalisations, the picture of what characteristics are important for instructional quality is not entirely clear. Therefore, in this paper, a scoping review was…

This article reports on a study of Kuwaiti college students' knowledge about the concept of functions. It also shows the connections these students make between different representations of functions. The results indicated that most students (96%) were unable to provide a definition of a function and only a third could provide examples of a…

In this paper, Harel and Sowder's proof schemes of taxonomy were applied for identifying eighth grade students' learning of proof and proofing. This study aimed to examine what kind of proof schemes are used in geometry and measurement learning areas and student's skills in giving proof and their opinions about proof. Qualitative methods were…

In this study, it was aimed to examine the probability problems which were posed based on continuous sample space and discrete sample space. Participants of the study consisted of 48 university students selected by using the convenience sampling method. Eight tasks related to continuous and discrete variables were designed by the researcher. Eight…

The aim of this study was to investigate the effectiveness of GeoGebra software in preservice mathematics teachers' process of correcting and making sense of errors regarding the concept of the asymptote. Case study method, one of the qualitative approaches, was adopted in the study. The study group consisted of 11 preservice teachers studying in…