Symbolic and situational mathematics are the two major representations of mathematical knowledge. Although previous literature has studied the relationship between the two from the perspective of teaching practice, learning effectiveness and behavioural performance, there is still a lack of empirical psychological research on cognitive mechanisms…

Teachers' noticing of students' mathematical thinking plays an important role in supporting student learning. Yet little is known about how online professional development (PD)--a growing setting for PD in the USA--can cultivate this noticing. Here, we explore the potential of using two online tools for engaging video to support K-2 teachers'…

In this article, the authors suggest a number of ways in which NAPLAN could be made into a more engaging and enriching experience for both teachers and students. They highlight the importance of making productive errors in the interests of furthering learning. The authors share the journey they have taken as they attempted to get their teeth into…

The complexity of understanding unit fractions is often underappreciated in instruction. We introduce a continuum of children's understanding of unit fractions to explore this complexity and to help teachers make sense of children's strategies and recognize milestones in the development of unit-fraction understanding. Suggestions for developing…

This paper focuses on determining the opinions of primary school third-grade pupils about the conceptual meaning and use of the numbers "0" and "1". The current study employed the case study design, which is one of the qualitative research methods. In the selection of the sample, the criterion sampling method, one of the…

Geometrical measurement is one of the most difficult fields in primary school mathematics and regularly found to be an area of weaknesses. The factors affecting the low understanding is due to the lack of valid and reliable assessment instruments. Thus, this study aimed to develop and validate a Geometrical Measurement Skill Instrument (GMSI) to…

Recently, many students experienced a sudden shift to virtual learning. During this abrupt transition, Jennifer Hoffman helped her students adapt to online learning by employing user-friendly tools to best support students' digital literacy and science learning. In this article, she explains an instructional module that she created for fifth-grade…

Drawing on a larger, cross-institutional study that examines equitable elementary mathematics education, this article reports initial findings related to tensions that emerged for preservice teachers (PSTs) related to trusting students with open-ended, challenging mathematics tasks. Data composed of 194 PSTs' written responses to a survey…

"Productive Struggle" refers to a strategy that gives students an opportunity to increase their background mathematical knowledge. Productive Struggle helps students connect key concepts, determine how and where an error occurs, and supports students in figuring out how to use their own thinking and reasoning skills to correct an error.…

This study examined the learning of Pi (p) numbers in elementary school mathematics. This research was conducted by employing case study method containing a single case concerning the Pi (p) numbers. A total of 432 preservice teachers participated in the study from the academic year of 2019-2020. This research employed observation, interview, and…

The research project partly presented in this paper aims at investigating the potential of the design of learning environments based on research to enhance language for mathematics learning in order to foster conceptual and language development. In this paper I present a collaboratively designed learning environment on angles, with a focus on…

This phenomenological study aimed to explore a group of classroom teachers' experiences with homework assignment in teaching mathematics. The participants of the study were 27 classroom teachers who were selected using the criterion-based sampling technique. The research data were collected with a semi-structured interview form developed by the…

Number talks, a popular mathematics teaching routine in the United States, may offer supports for beginning teachers (BTs) to engage in ambitious instruction. BTs' enactments of number talks, however, are varied, and there are few empirical studies that explore how BTs' enactment of number talks could be more (or less) ambitious. This paper draws…

In this paper we examine how teachers who are pursuing their Elementary Mathematics Specialist certification--Elementary Mathematics Specialists in Training (EMSTs)--are positioned in their advice and information networks for mathematics. We analyzed the instructional networks of six elementary schools in one Midwestern school district. Our…

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. "Figuring Out Fluency in Mathematics Teaching and Learning" offers educators the inspiration to develop a deeper understanding of procedural fluency, along with…