The authors provide a comprehensive and practical guide to early childhood mathematics, blending research, practice, and inspiration into a resource that teachers can immediately use. Through anecdotes, illustrative videos with a comprehensive index, and detailed assessment protocols, they show how learning trajectories and formative assessment…

In the field of mathematics education, the importance of visualization cannot be overstated, especially in mathematical problem-solving. The review's objective is to investigate visualization in mathematical problem-solving in secondary schools. Its status, regional contribution, subject domains, and outcomes should be the focus and…

In recent years, a group of teacher educators has developed a method of teacher education that incorporates practices that provide guidance about how to teach along with a principled vision of teaching that supports teachers to use the practices with judgement. Sometimes termed "core practices-focused teacher education" (Forzani, 2014,…

With the aim of strengthening mathematics teaching | learning, classroom video is increasingly used as a tool for teachers to reflect on their practice. In the first phase of a two-phase design-based study, a group of primary teachers selected, viewed and discussed video excerpts from mathematics lessons. Engaging with and working to reconcile…

This study aims to explore teacher noticing differences of the sampled US and Chinese elementary teachers from cross-cultural mathematics videos. A total of 34 expert teachers commented on 25 video clips online. We coded what and how teachers noticed from the videos both quantitatively and qualitatively. Findings reveal teachers' strong interests…

The purpose of this study is to present a general perspective by examining the research works about primary school mathematics. In this direction, 637 articles in the Web of Science database and published in SSCI indexed journals between 1980 and 2021 were analyzed by bibliometric analysis, the general structure of the concepts in the studies was…

There is mixed evidence as to whether concrete manipulatives (e.g., toy animals) are better than abstract manipulatives (e.g., counters) for teaching mathematical concepts to children. Concreteness is defined as the amount of extraneous information a manipulative provides, and in this study we aimed to unpick which dimensions of concreteness…

The purpose of this study is to investigate how students interpret expressions from calculus statements in the graphical register. To this end, I conducted 150-minute clinical interviews with 13 undergraduate mathematics students who had completed at least one calculus course. In the interviews, students evaluated six calculus statements for…

One of the challenges of university mathematics courses in secondary teacher preparation is incorporating pedagogical discussions. The focus in a mathematics course is--and should be--on mathematics. But research also suggests that without addressing pedagogical implications these content courses are not meaningful to secondary teachers' future…

Emergent graphical shape thinking (EGST) involves interpreting or constructing a graph as dynamically generated, which is useful across science, technology, engineering, and mathematics fields. Although evidence suggests that students as young as middle school can engage in EGST with support, other research indicates most college students and U.S.…

Good stories, literary or mathematical, have the ability to keep the reader engaged and wanting for more. However, poorly designed stories may also elicit a negative aesthetic reaction and thereby reduce engagement. By drawing on literary theory and Dietiker's ("For the Learning of Mathematics" 33(3):14-19, 2013; "Educational…

Researchers have suggested that initial attempts to change mathematics instruction often leave educators "with no framework for the kinds of specific, constructive pedagogical moves" they might make (Chazan & Ball, 1999, p. 2). The intent of this article is to introduce a framework for teaching and learning mathematics that is robust…

New Visions for Public Schools is in the third year of supporting a network of 18 New York City public schools to address uneven student success in Algebra 1. One of the ways New Visions is helping schools achieve greater equity in algebra is by supporting them to use a shared curriculum. But how is it known if the shared curriculum is making a…

Mathematical writing in school is difficult to teach. Reasons include that it is a domain in which there are rules for some parts of the writing like for example mathematical notation while others must be negotiated locally in the classroom. Writing is also seldom separated from the process of solving mathematical problems, creating a situation…

Studies show that spatial interventions lead to improvements in mathematics. However, outcomes vary based on whether physical manipulatives (embodied action) are used during training. This study compares the effects of embodied and non-embodied spatial interventions on spatial and mathematics outcomes. The study has a randomized, controlled,…