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.…

Mathematics discussions are important for helping students to develop conceptual understanding and to learn disciplinary norms and practices. In recent years, there has been increased attention to teaching prospective teachers to lead discussions with students. This paper examines the possibilities of designing a formative assessment that gathers…

There is growing international research evidence about young children's engagement with mathematics education. However, much of this evidence is drawn from children aged four years and upwards. This paper reports findings from a systematic review of peer-reviewed research concerning mathematics education for children aged "under" four.…

Theories of gender and race in mathematics education predominately remain unchanged in recent years (Damarin, 2008; Parks & Schmeichel, 2012), with feminism not always seen as relevant to mathematics education. New theories and methodologies related to gender create possibilities to reinvigorate gender research in mathematics education and…

When technologies like GeoGebra are implemented in mathematics lessons, the focus should be on learners and their learning processes rather than on technologies. Student-centeredness is a core characteristic of flipped classroom approaches. Recent further developments of flipped classroom approaches aim to foster learning through inquiry in…

Tasks play a central role in the mathematics classroom. Especially when teaching in a heterogeneous mathematics class, teachers should be able to find, select, modify, and assign tasks adequately. The focus in this paper is on adaptivity to cognitively activate all learners at the individual level, and on teachers' abilities to allow for such…