As online spaces for mathematics content and lesson plans become more accessible, teachers are exploring these websites to make decisions about instructional materials for their courses. These resources then have an impact on what is enacted in the classroom and what opportunities students have to learn mathematics. One of the most popular online…

This study examines factors shaping teachers' instructions of mathematical proof in Singapore. Using a qualitative case study, two teachers' conceptions, beliefs, and challenges were analysed. Findings reveal reliance on empirical and axiomatic proof schemes, shaping instruction. Teachers faced challenges such as limited curriculum emphasis and…

This paper reports three mathematics leaders' reflective accounts of leadership involving working with teachers in primary classrooms. A "nutshell" of each leader's interview is presented in sections: leading change, knowledge creation and relationship building. Similarities and differences in their leadership are described in terms of…

This study examines the impact of tutorial engagement on Collaborative Preferences for Learning Mathematics (CPLM) in a tertiary context. A two-way mixed ANOVA analysed these preferences over a semester in a sample of undergraduate students. As expected, collaborative engagement had a significant main effect, with students who collaborated more…

Although researchers have found that digital games are beneficial for mathematics learning, definitive guidelines for the effective integration of games within instruction are still needed. Specifically lacking is "practical guidance for how (when, with whom, and under what conditions) games can be integrated into the learning process to…

Professional noticing has been stressed as one of the key professional competencies that teachers must develop. To date, there is a robust amount of literature on teacher noticing with a focus on students' mathematical thinking. However, we have thus far not found any study that focuses on teacher noticing of classroom situations in which…

This study investigates the promotion of pedagogical content knowledge for simulations and mathematical modelling with digital tools among pre-service teachers. This knowledge can be described as modelling-specific TPaCK in the context of digital tools. In a quasi-experimental design, three groups of pre-service teachers (N = 230) were analysed…

We provide a gentle alert that the standard definitions of basic algebraic structures--such as that of a group--contain aspects that may be questionable to students, and discuss what instructors could do to minimise the questionability.

I provide a visual proof for the "Convergence of a Hyper power sequence," which generalises a beautiful result; also proved visually by Azarpanah in 2004.

With the sudden onset of the pandemic, little was known about the implications of transitioning college mathematics classes to online environments. In light of many students' difficulties in passing remedial and first-year mathematics courses in both synchronous and asynchronous classrooms, gaining an understanding of the impact of this transition…

Research has shown that computational thinking and kindergarten mathematics instruction can be integrated; however, evidence of how specific mathematical knowledge relates to computational thinking remains scarce. Additionally, we do not know if and how children's mathematical knowledge co-occurs with computational thinking and how these…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

I investigated the relationships between mathematics achievement on the Iowa Assessments and the mastery of four epistemic actions: selecting, analyzing, computing, and representing. These epistemic actions play a crucial role in characterizing mathematical reasoning and are essential for solving mathematics problems in the Iowa Assessments across…

Teachers hold complex goals when making decisions about their curriculum. In particular, the proliferation of supplemental resources means teachers negotiate both how to use the adopted curriculum and how to supplement it with additional resources. Through a study of the language teachers use, the decision-making of three elementary classrooms is…

The research aimed to achieve the following objectives: 1)Assess the effectiveness of cooperative learning management utilizing the STAD technique and KWDL technique among PrathomSuksa 6 students in solving decimal problems, with a target of achieving a 75/75 criterion, 2) Enhance the problem-solving abilities of grade 6 students in mathematics by…