Researchers often develop instruments using correctness scores (and a variety of theories and techniques, such as Item Response Theory) for validation and scoring. Less frequently, observations of children's strategies are incorporated into the design, development, and application of assessments. We conducted individual interviews of 833…

Myths about early education abound. Many beliefs people hold about early math have a grain of truth in them, but as a whole are not true--they are largely myths. But the myths persist, and many harm children. In this article, we address ubiquitous math myths that may be negatively affecting many young students. We conclude that avoiding the myths…

In this study, we investigated how Grade 3 and 4 students' organizational structure for volume units develops through repeated experiences with a virtual manipulative for building prisms. Our data consist of taped clinical interviews within a micro-genetic experiment. We report on student strategy development using a virtual manipulative for…

This study investigated the development of length measurement ideas in students from prekindergarten through 2nd grade. The main purpose was to evaluate and elaborate the developmental progression, or levels of thinking, of a hypothesized learning trajectory for length measurement to ensure that the sequence of levels of thinking is consistent…

This brief is directed to researchers and adds to the research base about instructional practices that are related to student achievement. Additional evidence on these relationships can suggest specific hypotheses for the future study of such instructional practices, which, in turn, will provide research evidence that could inform professional…

The authors explore how children's play can support the development of the foundations of mathematics learning and how adults can support children's representation of--and thus the "mathematization" of--their play. The authors review research about the amount and nature of mathematics found in the free play of children. They briefly…

In this Appendix, we provide details about the data used for the current study, the curricula used in the classrooms from which data were collected, and the current study's methodological approach. (Contains 14 tables and 5 footnotes.)[For full report, see ED544189.]

This article presents some wonderful books that reinforce math concepts with young children. In "I Spy Two Eyes: Numbers in Art," children see reproductions of the work of famous artists and count elements in the pictures. A list of math books that reinforce math concepts is included.

Describes several studies that challenge conventional wisdom regarding the teaching and learning of nonstandard and standard unit, rulers, and measurement sense. Discusses the educational implications of their results. (Author/CCM)

Focuses on subitizing, the ability to recognize small numbers of objects. Discusses when and how it develops and whether it should be taught. Contains 31 references. (ASK)

This article focuses on how young children build math skills in everyday play and activities. Children focus on six categories of mathematical content including classifying, exploring magnitude, enumerating, investigating dynamics, studying patterns, and exploring spatial relations. The article gives advice to both teachers and parents on how they…

Good early mathematics is broader and deeper than early practice on "school skills." High-quality mathematics should be a joy--not a pressure. It can emerge from children's play, their curiosity, and their natural ability to think. This article describes the areas of mathematics that young children can learn, and encourages elementary teachers to…

Studied the development of third graders' spatial thinking during an instructional unit on area and motion. Found strong positive effects on the transformation of internalized images. Found initial gender differences in spatial thinking, but both boys and girls made substantial gains during instruction. Students applied a unitizing operation to…

Math can help children understand and think about the many aspects of their world through its connections to them. Teachers who see, and help children see, those connections enrich children's learning and development. Teachers know that building children's vocabularies helps them understand stories they hear and later will read. But by taking a…

Presented is a study which focused on using turtle graphics programing for geometric problem solving. The goal was to investigate changes in children's mathematical knowledge and results indicate that the LOGO environment enriched children's geometric conceptualizations and sophistication of their geometric thinking. (KR)