Today, hundreds of studies on the technique known as Realistic Mathematics Education (RME) have been discovered. Numerous trials yielding contradicting results. The purpose of this meta-analysis is to ascertain the overall effect of RME and to examine the moderator variables in order to explore the consequences. The ERIC database, Sage…

Young children need to be taught using effective interventions. A good teaching method is one that will increase children's motivation to learn, keep them aware of their understanding and encourage them to reflect on what they learn, if this teaching is based on relevant and visible training. Otherwise, they may suffer from delays in mathematics.…

Elementary and middle school prospective teachers participated in semi-structured problem posing for integer addition and subtraction. The prospective teachers (n = 98) posed a variety of different stories, but this paper focuses on the temperature stories they posed. Results include descriptions of their posed temperature stories through the lens…

Connecting and comparing across student strategies has been shown to be productive for students in elementary and secondary classrooms. We have recently been working on a project converting such practices from the K-12 level to the undergraduate classroom. In this paper, we share a particular instantiation of this practice in an abstract algebra…

In this article, we describe the generation of a Design and Implementation Framework for Mathematical Modelling Tasks (DIFMT) through a researcher-teacher collaboration. The purpose of the framework is to support holistic approaches to instructional modelling competency. This framework is underpinned by principles drawn from theory and praxis…

Justification has received an increased emphasis in more recent years and is considered an essential component of mathematical reasoning and sense making. Despite its importance to school mathematics, the practice of engaging students in constructing justifications remains a hurdle for teachers. This mixed methods research study explores the…

There is a clear need for an operational framework that captures the difficulty of implementing culturally relevant pedagogy (CRP) and supports teachers to imagine new forms of pedagogy. In this report, we present the Iceberg of Culturally Relevant Mathematics and Science Pedagogy (CRMSP), a tool, grounded in the tenets of CRP, that delineates…

Leading mathematics teaching and learning in schools is a complex job that requires the development of specialised knowledge and skills. Opportunities to learn in professional workshops can help to build leadership knowledge and skills. The results presented here describe 262 leaders' prompted reflections at the end of a professional development…

Singing, and specifically, the singing of waiata (a song or chant related to the Maori world), is a useful and important mathematics classroom practice in any culture. Focussing on teachers in Aotearoa me Te Waipounamu New Zealand, we suggest waiata is one step teachers can take towards honouring their obligations under Te Tiriti partnership. We…

In this study we aim to characterize a way of proving which can be produced in a primary mathematics classroom and explore the factors that influence these processes and lead to changes in the way of proving. Assuming proving as a socially embedded activity, we conceptualize it as the interplay between 'construction' and 'substantiation' based on…

Gestures play a role in perception, production, and comprehension of language and have been shown to differ cross-linguistically and cross-culturally in aspects of performance and form-meaning relationships. Furthermore, gestures can serve as analytical tools to access tacit embodied-imagistic mathematical meanings that add to verbal-linguistic…

"Symbiosis," meaning "with" and "living," describes an ecological relationship between two organisms from different species that is sometimes, but not always, beneficial to both parties. One such relationship is mutualism, which is a mutually beneficial symbiotic relationship. In a mutualistic symbiotic relationship,…

Many of today's teachers have successfully incorporated technology into their classrooms through digitally based approaches to student learning. However, the flipped classroom pedagogy can provide for rich experiences in the classroom as the students learn lessons at their own pace, leaving the teachers free to create fun, hands-on lessons in the…

This article discusses the role of the three components of executive functions (EF) in geometric understanding. Discussing several examples of geometry problems, this article shows how EF are actively employed to solve geometry problems. Inhibition as the first component of EF helps the individual to suppress contextually irrelevant information.…

The design and initial implementation of a project-based directed study course in mathematical research and communication is described. The intention of the course is to expose students to the foundation of mathematical research through inquiry-based learning. Students are asked to approach an exercise in topology as though it is an open problem.…