Mathematics educators and researchers have advocated for the use of manipulatives to teach mathematics for decades. The purpose of this article is to provide illustrative uses of a readily available manipulative rather than a complete list. From an Australian perspective, Pop-it fidget toys can be used across the mathematics curriculum. This paper…

This article examines the importance of developing the notion of place value as a rate of ten. In exploring how to nurture this concept, the author looks at the role of the language of value, the problem types of multistep multiplication and addition along with measurement division, each with ten as an organizing unit, as well as strategically…

This chapter focuses on the interaction of two first graders as they attempt to make sense of a particular instructional context for learning negative numbers. The context is one where they move an elevator to a building's floors above and below ground in order to model integer addition and subtraction problems. In particular, the focus of the…

The First Grade Pre-Screening is designed to be used at the start of the first grade school year so that teachers can obtain information about their incoming students. This information is intended to give teachers insight about what math and reading skills a student may or may not have at the beginning of the year. The information can aid teachers…

Investigated use of the bus context (boarding/leaving a bus) for introducing addition and subtraction in the first grade, as well as other contexts. Indicates that these contexts influence the use of numbers and operations and that they be taught separately before comparisons are made. Also outlines misconceptions related to bus-numbers. (JN)

Investigated whether children who reflected the structure of word problems with their concrete models were successful in learning to symbolically represent problems with structure-based open number sentences. Forty-five first graders were taught to write canonical and noncanonical open number sentences. (Author/YP)

Designed for use with unit two of the Science/Math curriculum in Spanish developed for grade one, this supplement and ditto packet contains visuals, worksheets, and instructional aids referred to in the teacher's guide corresponding to this unit. Learning activities in kits five through eight center on the theme of the family. Illustrations and…

The second unit of instructional and evaluation activities for a science/math curriculum in Spanish developed for first graders make up this teacher's guide. Kits five-eight, each covering a period of two to three weeks, present science and math instruction around the family. The guide lists focus, objective, and materials in English and Spanish…