The teaching practice of noticing students' thinking includes both attention to students' mathematical strategies and interpretation of their mathematical understanding. This practice is further complicated when students are engaged with mathematical action technologies while learning mathematics content because, in these contexts, teachers must…

In this article special sequences involving the Butterfly theorem are defined. The Butterfly theorem states that if M is the midpoint of a chord PQ of a circle, then following some definite instructions, it is possible to get two other points X and Y on PQ, such that M is also the midpoint of the segment XY. The convergence investigation of those…

Mathematics anxiety hinders students' mathematical achievement already in primary school, but research on its effects beyond whole number knowledge is limited. The main aim of the current study is to examine how state and trait mathematics anxiety relate to performance across five tasks that are relevant for the development of mathematics in…

This paper analyses how pre-service teachers approach the notion of the infinite limit of a sequence from two perspectives: Specialized Content Knowledge and Advanced Mathematical Thinking. The aim of this study is to identify the difficulties associated with this notion and to classify them. In order to achieve this, an exploratory qualitative…

This research examined parents' involvement in children's math homework and activities. During 2017 to 2019, American parents (N = 483; 80% mothers; 67% white) of young elementary school children (M[subscript age] = 7.47 years; 50% girls) reported on their math helping self-efficacy; they also reported on their involvement in children's math…

In the present study, we investigated pre-service mathematics teachers' problem-formulation performances, which is a kind of problem-posing, in terms of being related to the existing problems, mathematical validity, and strategy types. Thirty-eight participants responded to a paper-and-pencil test wherein they formulated mathematics problems in as…

In this article, the authors reflect on how they would adapt the practices of a previous successful university-public school partnership with the ever-increasing adoption by districts of scripted programs for math instruction at the elementary grade levels. The partnership with rural elementary schools focused on improving students' overall…

This study investigates the effects of WhatsApp social media learning group in the teaching and learning of mathematics with first year underprepared university students. The study was undertaken using a quantitative research method. It employed a randomised post-test-only with a non-equivalent groups design to investigate if there is a…

Nonlinear equations are usually solved numerically. However, approximated analytical solutions of nonlinear equations are useful as an initial iteration point for numerical methods. Furthermore, these analytical approximations are sometimes quite close to the actual root. In order to teach at undergraduate level how to perform this kind of…

In this paper, we invite the reader to think deeply about professional development opportunities for faculty. The focus of this professional development is to improve teaching and learning by including more inquiry in the mathematics classroom. Building on theories of teaching and learning, we develop the idea of "teaching procedures"…

This study reports on comparing the presentation of mathematical content, types of responses required of students, conformity with the curriculum outcomes, and potentially confusing expressions in the subjects of percentages, triangles, and quadrilaterals of fifth-grade mathematics textbooks used in Turkey and Singapore. Document analysis of the…

In Singapore, education is regarded as an investment instead of a social service. Singapore's Education System has evolved over time and so have school mathematics curricula in Singapore. Mathematics education in Singapore schools in the twenty-first century is still going through a period of change. Mathematics is a compulsory subject up to Grade…

Despite the surge in efficacy studies, the relative effectiveness of any two math interventions is largely unknown and replications are rare. To ensure that students benefit from high-quality learning experiences, the current conceptual replication of Wang and Woodworth, a randomized control trial, evaluated the relative impacts of two computer…

Math anxiety and academic distress, two interrelated forms of psychological stress, are pervasive problems for undergraduate mathematics students. Most of the research in this area has taken a broad view of the impact this stress has on students' learning across an entire course or, more broadly, the entire curriculum for their degree. To…

It is well understood that when students are experiencing hunger, their ability to learn suffers. What is less understood is why this is the case and the role of the learning environment. Using Trends in International Mathematics and Science Study (TIMSS) 2019 data, this brief examines how student hunger is correlated with how disorderly the…