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Oct 27, 2018 · This paper briefly overviews my research in supporting children to learn number concepts by relating number words, research-based visual supports, and math symbols. I first outline my approach to helping children build relationships between the use of concrete materials and the building of abstract concepts.
- Karen C. Fuson
- 2019
Jun 1, 2013 · Building on ideas published elsewhere (see Smith & MacDonald, 2009), this article presents examples of children's mathematical meaning-making collected during a three-year study focusing on children's representations of their mathematical experiences and understandings.
- Amy MacDonald
- 2013
- Abstract
- Four Principles for Maximizing the Effectiveness of Manipulatives
- Declaration of Conflicting Interests
- Funding
Manipulatives are ubiquitous in early childhood classrooms; yet, findings regarding their efficacy for learning mathematics concepts are inconsistent. In this article, we present four general principles that have emerged from cognitive science about ways to ensure that manipulatives promote learning when used with young children. We also describe h...
The widespread use of manipulatives is rooted in the idea that young children reason concretely before they do so abstractly. It is important to remember, however, that even though manipulatives are concrete objects, understanding how they represent concepts requires abstract thinking—a manipulative is still just a physical representation of a con-...
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
The author(s) received no financial support for the research and/or authorship of this article.
Jun 22, 2016 · Our objective in this chapter is to present a framework that can be used as a guide for designers of virtual manipulatives and for researchers who study their effects on student learning in mathematics.
- Helena P. Osana, Nathalie Duponsel
- 2016
Mar 8, 2019 · To bolster children’s mathematics development, we should encourage the use of mathematics skills in the home and the classroom—and just as early, with just as much emphasis, as we do reading. Parents recognize the importance of participating in early reading activities with their children.
- David J. Purpura, Ellen C. Litkowski, Valerie Knopik
- 2019
Young children need to see themselves as capable mathematicians. Child-guided and child-focused explorations and teacher-guided math activities help children practice and consolidate their learning. This helps them feel confident about what they know and can do.
People also ask
Can young children's representations reveal how children make meaning in mathematics?
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Do mathematical graphics support children's processes?
Children's own graphics support deepened thinking about the mathematics in which they are engaged, and significantly, about their use of symbols and other visual representations to signify meanings.
