An interesting geometric conservation problem is presented. Here proof is presented in a 'proof without words' style, with the aim of developing the reader's visual proof ability. The study of the task and its expansion is accompanied by a dynamic sketch to highlight the conservation property.

Beginning teachers are challenged to make concrete the identities they envision for themselves in their practice. We examine how a particular context, the noticing interview, supported a novice teacher's identity work through disciplined awareness to cultivate the inner witness. In a noticing interview, teachers view and discuss video segments…

The objective of this dissertation was to explore the paradoxical nature of Combinatorics as both a difficult and accessible domain in Mathematics, particularly for K-12 students. This paradox in Combinatorics' nature raised questions about how students interact with problems in this domain and the factors influencing their understanding and…

In this article, the role of digital feedback that was provided in an outdoor mathematics education setting is taken into consideration. Using the app MathCityMap (2020) in the context of a mathematics trail, the influence of positive and/or negative feedback is examined in relation to how it influences the processes of verification and…

This paper examines the extent to which teacher factors of the dynamic model of educational effectiveness can explain variation in student achievement in mathematics. It also searches for the extent to which any of these factors matters more for academically resilient students than for all the other low-socioeconomic-status students. Participants…

This systematic review examines 31 articles published from 2000 to 2021, comprehensively addressing mathematical resilience. These articles originate from English-language journals indexed in Google Scholar, Web of Science, ERIC, and Scopus databases. The analysis considered specific aspects including years, countries, research methods, designs,…

This paper reviews overall student performance as well as the performance of student subgroups on the assessment system developed in response to the Massachusetts Education Reform Act of 1993 (MERA), the Massachusetts Comprehensive Assessment System (MCAS). Comparing students in Massachusetts to students in the rest of the United States or against…

The exploratory study combined an online survey and interviews with Australian primary and secondary mathematics teachers to examine their views on "Active, Bodily experience Mathematics learning activities." The research sought to identify teachers' expectations, challenges, and limitation for their implementation. Initial results…

Probability requires teaching approaches that allow children to predict, observe and experiment with concreate materials, games and simulations. In this study, we explored one teacher's beliefs and practices of teaching probability using game-based approaches. We employed a design-based research approach to explore how our case study teacher…

In a social cognitive framework, teacher feedback is a relational influence that is particularly significant in shaping learners' vocational self-concept during childhood--a critical stage for career development. This study examines the relationships among perceived teacher feedback, children's competence perceptions, interests, and achievement in…

We report on a long-term collaboration with ninth-grade mathematics teachers at a linguistically diverse high school in which we examined the intersection between mathematics and language, and how language and mathematical thinking can be developed together in a multilingual setting. We co-designed lessons that promoted conceptual understanding,…

Successful early mathematical development is vital to children's later education, employment, and wellbeing outcomes. However, established measurement tools are infrequently used to (i) assess children's mathematical skills and (ii) identify children with or at-risk of mathematical learning difficulties. In response, this pre-registered systematic…

Despite the standardization of calculus education as a Calculus and Analytic Geometry course after the 1950s, curriculum updates have been slow to penetrate the undergraduate mathematics classroom practice, taking decades to manifest. Common struggles with the teaching and learning of calculus, such as relying on a procedural understanding of…

In online STEM courses, self-regulated learning (SRL) serves a critical role in academic success because students are required to monitor and regulate their learning processes. Yet, relatively little research has investigated which and to what extent do SRL strategies contribute to students' online learning experiences. In this paper, with a lens…

Despite the increasing amount of research into mathematical problem posing, research shows that much is still unknown about students' cognitive processes when engaged in problem posing. In this study, 16 undergraduate students' problem-posing products and processes are examined in order to shed light on the forms of mathematical reasoning that the…