Adaptive teachers use student data to guide instruction. Learn about using an anecdotal record form to support adaptive teaching. In this article, the authors describe how teachers can use learning trajectories to make adaptive decisions to meet the needs of their students. They provide an example using the U .S. Math Recovery Council's learning…

Research focusing on the home mathematics environment has shown mixed results across age groups. Using data from a large online survey, we explored parents' perceptions of the age appropriateness of home mathematics activities for their children. Children's ages ranged from one to 6 years old (N = 958). Activities spanned multiple domains of early…

This study examined how and to what extent a prekindergarten teacher's perceptions of ready children and diversity--which are influenced by broader societal culture--influence their abilities and ways of incorporating children's funds of knowledge into their practice. The methodology used was based on a descriptive case study of a teacher, Linda,…

To provide a landscape of mathematics activities children experience in U.S. preschool and kindergarten classrooms, we observed time children spent in mathematics activities (and -- as a contrast -- literacy) in 101 geographically diverse early childhood classrooms in seven U.S. states. We also observed what mathematics content, grouping…

This qualitative case study highlights the ways a novice middle school mathematics teacher established an adolescent-centered community of care that set the stage for responsive middle level mathematics teaching (RMLMT). Findings revealed that fostering caring school-based relationships supports the establishment of a responsive classroom…

Preschool through third grade (P-3) alignment is regularly named as a key aspect of early childhood education and the transition to formal schooling. However, little is known about P-3 alignment in practice. Using data from 265 observations of math instruction in preschool, kindergarten, first-, and third-grade classrooms in New York City public…

"Elementary and Middle School Mathematics" illustrates how children in PreK to 8th grade learn math, and then shows the most effective methods of teaching math using problem-based activities. Examples of real student work and common challenges help you visualize developmentally appropriate mathematics instruction and assessment that…

Tasks play a central role in the mathematics classroom. Especially when teaching in a heterogeneous mathematics class, teachers should be able to find, select, modify, and assign tasks adequately. The focus in this paper is on adaptivity to cognitively activate all learners at the individual level, and on teachers' abilities to allow for such…

In this paper, motivated in part by evidence that Swedish teachers are sceptical of parents' abilities to offer appropriate support, we present an exploratory investigation of the activities Swedish parents initiate to facilitate their year-one (first grade) children's learning of mathematics. Data, derived from 25 semi-structured interviews…

Traditionally, various meanings of "10" are systematically ignored in early childhood curriculum and children's understanding of numbers is restricted within the solitary mapping between the symbol "10" and quantity concept of "ten." This may be problematic for other ways that mathematics is used, both in modern life…

Incorporating immersive technologies in education has become increasingly popular due to their ability to facilitate active learning and engage students in the acquisition of concepts and skills. One form of immersive technology includes educational games that incorporate movement interaction, allowing children to engage with in-game elements by…

The purpose of this study was to gain insights into how a PreK teacher's beliefs on readiness shaped how she adopted/adapted to a new practice that was intended to provide responsive mathematics education. To explore these issues, I constructed one descriptive case study of a teacher's beliefs and practice based on data from a broader research…

How can teachers encourage productive struggle in mathematics and yet minimize the exposure to shame often associated with struggle? In this article, the authors offer constructive ways to position struggle in the classroom to minimize shame and promote doers of mathematics.

Children's development of foundational mathematics concepts begins long before they enter the kindergarten classroom. Early experiences with color, shape, and pattern recognition as well as the ability to seriate sizes all contribute to a strong beginning to young children's mathematical conceptual development. This article presents how a…

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.