Issue 41 of Bank Street's Occasional Paper Series features a collection of papers by authors with a shared affinity for the work of critical mathematical inquiry (CMI). Essays in this issue include: (1) Teaching for Social Justice through Critical Mathematical Inquiry (Steven Greenstein and Mark Russo); (2) Re-designing Mathematics Education for…

Children with cognitive delays or developmental disabilities are at elevated risk of having a persistent mathematics disability. Students who have difficulty in mathematics display trouble with awareness of numbers and numeric concepts. This is alarming because students who display lower mathematics performance early on in school make smaller…

Integrating multiple theoretical frameworks, the authors examined rising first- to fourth-grade students' mathematics utility conceptions--their knowledge and beliefs about the usefulness of mathematics, home-based mathematics engagement, and grade-level differences in mathematics utility conceptions and home engagement. Most children viewed…

Our goal in this article is to discuss the importance of problems in early childhood education for the child's development and engagement with the mathematics existing in childhood culture. Our assumption is that an important task for young children's education is to create a democratic and critical environment, in which multiplicity of…

The importance of ratio and proportional reasoning is regularly emphasised, however, the teaching and learning of these concepts continues to present challenges. In this article the authors explore a hands-on task, designed to encourage student visualisation of the concept of ratio. Teacher perceptions of this task were positive, indicating the…

Elementary school children (ages 7-11) struggle to understand mathematical equivalence, a foundational prealgebraic concept. Some manipulations to the learning environment, including well-structured nontraditional arithmetic practice alone, have been shown to improve children's understanding; however, improvements have been modest. The goal of…

This study investigates kindergarten children's mathematics learning with a focus on the role of teachers' mathematics education and readiness beliefs, and home learning environment. Using structural equation modeling to estimate the individual differences in early mathematics learning, data from 5,845 kindergarteners was evaluated. Findings show…

Scaling up educational interventions in the STEM (Science, Technology, Engineering, and Mathematics) field is critical but under-researched. We review and draw implications from a series of studies investigating the long-range impact of an implementation of an early mathematics scale-up model based on learning trajectories. Lasting effectiveness…

In Australia, early childhood education takes a play-based approach to supporting children's engagement with mathematical ideas and numeracy development. To assist preschool teachers' implementation of the outcomes in the national Early Years Learning Framework for Australia, the Northern Territory (NT, Australia) has introduced the NT Preschool…

As a parent, the author stepped into his child's class on a Friday morning to a room buzzing with activity. Parents walked around the room, coffee and bagel in hand, reading stories that their child (and others) had drafted, revised, written, and illustrated. Students eagerly shared their stories and drawings, cherishing the comments and praise…

This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common…

Is anything more refreshing than going for a nice, long swim? The math scenarios presented in this article will take the reader back to hot summer days and remind the reader what a cool dip in the water feels like. Solving these problems is enjoyable and encourages the solver to think of the many ways that math is all around--even in the middle of…

A first-grade teacher has students use their hands and fingers to engage in and develop understanding of counting, to combine groups to facilitate counting by fives and tens, and to describe their findings using words and equations.

This article begins with a theoretical discussion of the characteristics that a task should feature to be regarded as a mathematics problem suitable for pre-primary students. Those considerations are followed by a report of a classroom experience in which three problems involving quotative or partitive division were posed to pre-primary school…

Research has demonstrated that providing labels helps children notice key features of examples. Much less is known about how different labels impact children's ability to make inferences about the structure underlying mathematical notation. We tested the impact of labeling decimals such as 0.34 using formal place-value labels ("3 tenths and 4…