This research aims to test: (1) the effectiveness between problem posing learning model with Indonesian realistic mathematical education approach and problem posing learning model on written mathematical communication skills; (2) the effectiveness between field-independent and field-dependent cognitive styles on written mathematical communication…

Professional learning communities can be important sites for teacher learning depending on the quality of the conversations in these communities. This paper investigates how different activities in teacher communities support different content and depth in teacher conversations, through examining the conversations of four professional learning…

Grounded in the belief that data will drive instructional change, data-driven decision making continues to be a prevalent reform strategy in schools. However, the use of data does not always prompt teachers to change their instructional practices, particularly in low-performing schools where accountability pressures loom large. Drawing on in-depth…

The school system in both the Republic of Ireland [ROI] and Northern Ireland [NI] is configured to accommodate children into discrete educational bands at different stages on their learning journey. Research has consistently shown that the transition from primary to post-primary, which typically occurs between the ages of 11 and 13, is the most…

The purpose of this work was to explore how elementary pre-service teachers responded to a novel strategy for justifying the triangle area formula. We conducted interviews with 24 pre-service teachers, asking them to evaluate and respond to a hypothetical student strategy for the triangle area. Findings highlighted several interesting struggles…

This study focuses on the teaching and learning of the pre-numeracy concepts through technology at Foundation Phase. It pre-supposes that the use of information and communication technology resources presents an innovative way to improve teaching and learning mathematics. The author argues that young children's relational conceptions of number lie…

The theory of Montessori education has been interpreted by some researchers to be vaguely formulated. However, as shown in previous research, Maria Montessori's didactic approach to teaching and learning mathematics is fully consistent with variation theory and the theory of embodiment. Dr. Montessori used the theoretical concept of…

Within the digital era, as global society embraces the fourth industrial revolution, technology is being integrated swiftly within teaching and learning. Within the Coronavirus disease (COVID-19) pandemic era, education institutions are preparing robustly for digital pedagogy. This article reports on a study focusing on 31 postgraduate mathematics…

There is a well-established area of work in mathematics education focusing on mathematics for social justice. Much of the work, however, is concerned with "individual" students' understanding the world symbolically -- as evident in the notions of reading and writing the world using mathematics -- while failing to address a transformative…

The aim of this study is to identify whether high school students encounter any difficulties in mathematics and reveal the reasons for such difficulties. The participants of the study, which was a descriptive case study based on qualitative understanding, were a total of 164 students, including 85 students from Anatolian High Schools and 79…

Many teachers labor to distinguish between productive and unproductive struggle; they believe that struggle is productive when it engages students in thinking and communicating metacognitively, which is when students think and communicate about their problem-solving processes, strategies, challenges, and successes. One method that helps ensure…

We worked to identify how the availability of two languages, Spanish and English, facilitates the teaching of mathematics when instruction is centered on students' mathematical thinking. We present results of interactions between seven bilingual pre-service teachers and seven bilingual 5th-graders working on fractions. Using a theoretical…

A survey of 80 United States middle and high school mathematics student teachers gathered data on availability and use of textbooks and traditional and technology-supported instructional strategies. Findings about textbooks include (1) most classrooms had one or more textbook formats (print, digital or e-textbook) available but did not necessarily…

We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the…

Justification skills should be fostered in teaching mathematics as they are highly related to effectiveness in problem solving. However, pre-service mathematics teachers do not always have the necessary skills in using mathematically convincing language and justifying their solutions. Thus, they should be introduced to a variety of instructional…