Numerous studies have shown a significant positive relationship between the mental representation of hands in young children and their calculation performance. The literature indicates that certain components of manual motor skills may be critical to the quality of this relationship. The main objective of this study is to measure the benefit of an…

A qualitative research design comprising of open-ended questionnaires and focus group discussions was used to investigate learner-related variables that impede the integration of ethnomathematics approaches into the teaching and learning of geometry. Proportional stratified sampling and recruitment based sampling were used to select the 40…

This study analyses a standards-based textbook series to investigate how slope is presented across seven sequential textbooks in a secondary mathematics curriculum. Analysis of the expository content across the textbooks shows that slope is covered in all seven books, is frequently described as a "Constant Parameter" or…

Background: Supporting students during collaborative learning in mathematics is challenging for teachers. We developed the Small-Group Scaffolding Tool (SGS-Tool) to assist teachers regarding how and when to offer support. The tool is based on three characteristics of scaffolding small groups at the group level: contingency to the…

Many students struggle with mathematics, in Norway a pressing concern is the decline in proficiency in high school, and the increased number in need of special education. Assessments of proficiency levels are traditionally done through norm- and criterion-referenced achievement tests, who will rarely detect students struggling or identify…

Misconceptions are one of the biggest obstacles in learning mathematics. This study aimed to investigate students' common errors and misunderstandings they cause when defining the angle and the triangle. In addition, we investigated the metacognition/ drawing/ writing/ intervention (MDWI) strategy to change students' understanding of the wrong…

This study investigated the experience of preservice mathematics teachers working with example-eliciting tasks (EET) on an online formative assessment platform. The study focused on the effect of working with EETs on the preservice teachers' (PSTs) professional noticing of learners' mathematical thinking. Participants included nine PSTs studying…

Backward transfer refers to the influence on prior knowledge of the acquisition and generalisation of new knowledge. Studies of backward transfer of mathematical knowledge have focused on content that is closely related in time and in curricular sequencing. Employing the notion of thickening understanding, we describe instances of transfer that…

Learning progressions can reflect students' continuous in-depth thinking development paths, and their establishment is an iterative process from the construction of hypothetical learning progressions to the verification of that hypotheses. Considering the limitations of the existing verification method of learning progressions based on a rule…

We address two of the challenges that were recently raised in APJTE editorial. The editorial aimed to encourage the APJTE research community, and the field of teacher education broadly, to engage in research, in which a complex view of teaching is assumed, explored, and proactively supported. We offer a perspective on the standing of two of the…

This study aims to explore the notion of the density of the set of rational numbers in the set of real numbers, as interpreted by undergraduate mathematics students. The data comprise 95 responses to a scripting task, in which participants were asked to extend a hypothetical dialog between two student characters, who argue about the existence of…

Children are active and creative mathematical learners in the early years. This article reports part of a Teacher-led Innovation Fund (TLIF) project that investigated children's mathematical activity at an early childhood centre and the first year of school. Teacher-researchers were from each site, and mathematical opportunities were identified in…

In this position paper, we propose commognition for the study of proof teaching at university lectures through an integrative literature review. We critically examine studies that focused on proof teaching but did not use the commognitive framework. Through this examination, we gain an understanding of the pedagogical aspects of proof teaching and…

In this article, we discuss the process of understanding continuity, which is one of the most fundamental concepts in mathematics. The continuity of mathematical functions is formally defined in terms of abstract symbols and operations. This representation of continuity is very abstract or dis-embodied. Therefore, it is difficult to acquire a…

The objective of this research is to consider the possible relationship between academic performance and university students' beliefs about Mathematics, particularly in the subject of Integral Calculus. The methodology employed is quantitative, descriptive and correlational, based on a non-experimental design. The instrument used for the…