This article discusses the use of number talks to engage kindergarten children in regular joyful math opportunities in the classroom. As an educator of four- and five-year-old students in a full day kindergarten (FDK) program in Ontario, Canada, I embrace inquiry-based learning to guide children's activities. Inspired by the childcare centres in…

In this paper, we offer a theoretical account of the emotion-cognition dialectic (i.e. the unit of feeling and cognition in thought) in identity formation (or identification), focusing on early childhood and mathematics. We consider how contradictory (emotional-cognitive) experiences which arise in different forms of mathematical activity (a…

High-quality instructional interaction, in which teachers engage children in conversations that support the development of higher order thinking skills, conceptual understanding, and advanced language skills, is associated with positive outcomes for preschool children. Classrooms serving low-income preschoolers tend to have lower levels of this…

This study (N=196) examined the extent to which the frequency of parent-child math activities in preschool was associated with children's developmental trajectories of math skills from preschool to primary school. Parents reported the frequency of their involvement in a variety of math activities with their preschool children. Children were tested…

This observation study documents the amount and quality of mathematics instruction provided to students with intellectual and developmental disabilities in kindergarten through second grade in self-contained special education settings. We observed six special education teachers and their students (N = 12) during a total of 967 min allotted to…

This task structure both engages students in serious, grade-level appropriate mathematical work and allows the teacher to do the intentional and purposeful work of building a collaborative classroom culture. We highlight possibilities for adapting this task structure to teach different mathematics content across grade levels 3-5.

This study compares mathematics instructional practices in classrooms that do and do not contain students with high-incidence disabilities (HIDs). To do so, we examined a national data set of responses from kindergarten teachers about instructional practices. We do find that in classrooms with students with HIDs, teachers reported different…

This paper describes kindergarten children's engagement with two patterning activities. The first activity includes two tasks in which children are asked to choose possible ways for extending two different repeating patterns and the second activity calls for comparing different pairs of repeating patterns. Children's recognition of the unit of…

In this article we compare two frameworks for analysing young children's responses to the task of copying and extending a 6-dot triangle pattern. We used Mulligan & Mitchelmore's Awareness of Mathematical Pattern and Structure (AMPS) and then Biggs & Collis' SOLO taxonomy, both of which provide criteria for assigning levels. In comparison…

Making patterning the basis of mathematics investigations for an entire year produced unexpected results for Bruce Ferrington. A Year 2 class used the spatial tasks from the Pattern and Structure Mathematics Awareness Program (PASMAP) with a specific emphasis on patterning, to develop their thinking mathematically skills. The result was students…

"Pre-K Mathematics" is a supplemental mathematics program focusing on a range of mathematical concepts to help develop children's informal mathematical knowledge. The "Pre-K Mathematics" program includes teacher-led, small-group mathematics activities that are engaging and hands-on, as well as caregiver-child activities that…

Children's literature can provide useful contexts for teaching mathematics. In this article, the authors discuss the use of the children's book "Measuring Penny" (Leedy 1997) to support Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) related to length measurement. The authors first describe three types of misconceptions…

The purpose of this study is to examine the motivation type preferences of students in kindergartens and second, fourth, sixth, and eighth grades and the underlying reasons thereof after successfully completing a mathematics task. The students in the study solved an easy mathematics question. After they solved the problem, they were presented with…

Number system knowledge (NSK) is broadly defined as the understanding of number relationships and is an essential mathematics skill for young elementary school-aged students. NSK instruction that emphasizes connections between number sense and spatial reasoning could be a critical anchor for second-grade students to stay rooted in their conceptual…

It is frequently surprising to new teachers (and even those with experience) when they find that not only do some children need to recount the group they have just counted to be assured of the total but also that this need seems to be resistant to intervention. Although moving from "counting-all" to "count-on" is sometimes…