In this paper, differences in the implementation of a number activity called the snake game are studied. Nine Swedish preschool teachers worked in collaboration with a research team, enacting the same activity with their groups of 5-year-old children over a 3-month period. Variation theory forms the basis for the analysis of 67 videorecorded…

Purpose of the study is to investigate the effectiveness of the use of Realistic Mathematics Education (RME) approach on sixth grade students' statistical thinking levels. Mooney's (2002) statistical thinking framework describing four thinking levels across four different statistical thinking processes was used. This study utilized a…

The article focused on the use of assessment for learning in promoting active learning and learner participation in mathematics. Assessment for learning (AfL) has been found to enhance learning and improve performance. However, teachers' use of AfL to enhance active learning has not been clearly outlined. This study is part of the broader research…

In this paper, I report the results of a study of a large-scale implementation of an evidence-based, objective-oriented approach to teaching via digital platforms among mathematics teachers in Denmark. The aim of the study was to investigate how these platforms affect the work of mathematics teachers and how emergent problems in this process can…

Background: The co-establishment of social and sociomathematical norms in the microculture of South African classrooms and its possible effects on early number learning has largely been unexplored. Social norms are considered to be general classroom norms that are relevant in any teaching and learning space, whilst sociomathematical norms are…

In high school, students extend understanding of linear and exponential functions and explore trigonometric functions. This includes using the unit circle to connect trigonometric functions to their geometric foundation, modeling periodic phenomena, and applying (and proving) trigonometric identities. These ideas are fundamental for trigonometric…

National assessments of mathematics are often used as an objective measurement of students' knowledge. However, various factors are believed to influence students' achievements on the national assessments, among which students' invested effort. Moreover, students' effort may vary between genders and might be influenced by the presence of external…

The modalities of performance ranking in high stakes testing to a greater extent affect Mathematics teaching and learning. While performance ranking has the potential of being a critical catalyst in the process of making Mathematics classrooms a place of positive competition, it fails to balance the most crucial aspects in Mathematics…

The complexity in understanding the [epsilon-delta] definition has motivated research into the teaching and learning of the topic. In this paper I share my design of an instructional analogy called the Pancake Story and four different questions to explore the logical relationship between [epsilon] and [delta] that structures the definition. I…

Multiplicative thinking involves the ability to coordinate bundled units on a more abstract level than additive thinking and implies the identification of the different meanings of the multiplier and the multiplicand. The transition from additive to multiplicative thinking, however, constitutes an obstacle for many children. Specific formulations…

This article presents a study of 8th grade students working in groups to solve a task about generalizing patterns. The study aimed to openly explore how progress in mathematical thinking might relate to the discourse. To do this, we first studied both separately. The progress in mathematical thinking was studied by inspecting how the groups…

This study examined changes in beliefs and confidence of 24 pre-service mathematics teachers after they participated in professional learning in an algebra pedagogy course, which addressed an under-researched area about their domain-specific beliefs in teaching algebra. A single-group pretest-posttest design was adopted. Quantitative data were…

This study aims to investigate if there a significant different in pre and post of Early Mathematics performance. A single group pre-test and post-test with intervening Early Mathematics based games was used in this research. This involved assessment on the early Mathematics abilities (Ginsburg & Baroody, 2003). This program was conducted…

Purpose: The purpose of this paper is to explore whether the four value alignment strategies available to educators (Scaffolding, Balancing, Intervention, and Refuge) previously identified in the mathematics education literature comprehensively capture educator value alignment strategies in an intervention context. Design/Approach/Methods: To this…

This paper presents research into closed orbits parallel to quadrilaterals inscribed in various geometric shapes that can be represented by mathematical functions: straight lines, circles, ellipses, parabolas, and hyperbolas. Mathematical proofs have been given for the existence of an infinite number of parallel orbits for each of these shapes.…