In this book from bestselling author Dr. Nicki Newton, you'll learn how to level math workstations to engage K-2 students in meaningful, purposeful, rigorous practice. We know students don't learn at the same pace, so how do we take into account where they are and differentiate instruction? Dr. Nicki has the answers, showing how leveled…

This theoretical article examines the crucial role of play-based learning (PBL) in enhancing the mathematical skills of children in the Early Childhood Phase, referred to as Foundation Phase (Grade R-3) learners, within a South African context. The article argues that the traditional approach to teaching early childhood mathematics, where teachers…

From a Marxian/Vygotskian perspective, learning is social in origin and it happens in the presence of others that are more knowledgeable. Extending this view to the learning of mathematics, such learning also becomes inseparable from the presence of others (people and artefacts). Researchers over decades have studied different interactions to see…

This article overviews the theoretical and applied works of the psychologist and pedagogue Leonid Zankov. Zankov's model of teaching is based on Vygotsky's theory that appropriate teaching methods stimulate cognitive development, whose core notion is the Zone of Proximal Development. This educational psychology research was verified by large scale…

Mathematical discussions in which students compare alternative solutions to a problem can be powerful modes for students to engage and refine their misconceptions into conceptual understanding, as well as to develop understanding of the mathematics underlying common algorithms. At the same time, these discussions are challenging to lead…

Mathematical discussions in which students compare alternative solutions to a problem can be powerful modes for students to engage and refine their misconceptions into conceptual understanding, as well as to develop understanding of the mathematics underlying common algorithms. At the same time, these discussions are challenging to lead…

We analyzed two nationally representative, longitudinal data sets of U.S. children to identify risk factors for persistent mathematics difficulties (PMD). Results indicated that children from low socioeconomic households are at elevated risk of PMD at 48 and 60 months of age, as are children with cognitive delays, identified developmental delays…

Hachey's (2013) article celebrates a revolution that is taking place in early childhood mathematics education, fueled in part by developmental research demonstrating the mathematical capabilities of young children. At the same time, Hachey notes that the mathematics revolution she describes is not yet complete. In this commentary, the author…

Article presents suggestions for improving pupils' skill at problem solving, thereby opening levels of learning for all children. (Author/RK)

The study examined student records to evaluate the mathematical performance of 220 children from 8 through 17 years of age diagnosed as having learning disabilities. Developmental patterns were identified and implications for instruction including specially designed instruction stressing problem solving were drawn. (Author/DB)

The major purpose of this study was to attempt to understand some of the reasons for Mathematics perception of Taiwanese children compared to American children. The study was conducted with elementary schools in the Denver metropolitan area and Taipei, Taiwan in which fifth graders in each city (21 and 37 respectively) were selected as target…

A new approach to teaching and curriculum takes seriously the knowledge children have when they enter school. Teachers use the knowledge each child has to make instructional decisions so that the child learns mathematics with understanding, how to solve problems, and the computational skills. Research concerning the problem-solving strategies…