This study aimed to determine the effect of the implementation of the Contextual Teaching and Learning (CTL) model with the outdoor approach towards students' ability in mathematical representation. It was quasiexperimental research consisting of two experimental classes and one control group. It used a pretest-posttest control group design. The…

Although AR technology seems to be promising for helping students learn complicated and abstract concepts, whether the positive effects of this new technology can be applied to the learning of three-dimensional geometric concepts, and what factors might mediate its effectiveness are questions worth further investigation. This study used the…

The aim of this study was to show that some of the errors made by students when responding to mathematics assessment items can indicate progress in the development of conceptual understanding. By granting partial credit for specific incorrect responses by early secondary students, estimates of the difficulty of demonstrating full and partial…

In this paper we analyse the role of the teacher in a Digital interactive Storytelling in Mathematics (DiST-M) activity. involved in the story as a character (the Guru, a math expert), the teacher acts as a mediator in students' problem-solving process. We analyse how the teacher may orchestrate the mathematical discussions to allow students…

Background: We explore how school-based mathematical experiences shape out-of-school mathematical experiences, developing the idea that learners hybridize norms and practices around authority and evaluation across these two contexts. To situate our study, we build on constructs of participatory identity and framing. Methods: Drawing from a large…

In order to transform mathematics classrooms for students with disabilities, teachers must design based on learners at the margins. Universal Design for Learning (UDL) is a framework built on these principles (Meyer et al., 2014), but lacks a robust process through which educators can reimagine mathematics. We theorize that when educators merge…

This study aims to integrate the local wisdom of the traditional engklek game into problem-solving-based mathematics learning at the elementary school level. The method used in this study is a mixed-method with an explanatory design. The data analysis technique used in this study was random sampling and data collection was carried out by…

Although trigonometry is an important section in secondary school mathematics curricula, many teachers find it challenging to teach as a result of insufficient pedagogical content knowledge (PCK). Therefore, the aim of this article was to report on how PCK on trigonometry manifests itself in teachers' practice. This exploratory case study was…

Teacher knowledge needed for teaching is widely studied to characterize its key categories. We report findings from a study on teachers' knowledge for mathematics in the Montessori schools. In Montessori accredited schools, teachers learn to teach mathematics in ways different from the teachers themselves experienced in non-Montessori schools. We…

A study was conducted to explore the beliefs and practices of 49 New South Wales (NSW) primary school teachers regarding their beliefs and practices concerning the use of concrete materials in the learning and teaching of Number and Algebra. This paper reports on elements of the study regarding why and how teachers use concrete materials. Not only…

Teacher professional learning occurs across various contexts. Previous studies on teacher learning and changes in practice have focused on either classroom contexts or learning communities outside of school, but have rarely investigated teacher learning across multiple contexts. Investigating teacher learning across the double contexts of…

Two of the Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM; NGA Center and CCSSO 2010), "Look for and use structure" (SMP 7) and "Look for and express regularity in repeated reasoning" (SMP 8), are particularly abstract and sometimes clear only in the mind. For a given…

In this article we show how students' productive struggle on a mathematical task can lead to collective mathematical creativity. We use observable (co)actions and interactions from a video record that features three Grade 6 students in a problem-solving session to document the emergence of collective creativity leading to a solution. We discuss…

This study examines how joint exploration is established and maintained among students and the teacher in secondary mathematics classrooms. We use the theoretical perspective of positioning to conceptualize joint exploration as involving the negotiation and coordination among participants to position students with epistemic agency and authority.…

In this article the authors provide an overview of the Interdisciplinary Mathematics and Science project conducted in Grades 1 to 6 in four Australian schools. The project teachers implemented an enquiry-based pedagogical model through 12 interrelated topics. This paper details how a range of mathematics and science concepts can be effectively…