This study explored the mathematical beliefs of two second-grade teachers. This exploration included 1) the nature of mathematics beliefs and orientation towards teaching and learning held by the teachers, 2) how their beliefs were developed and, when applicable, changed, and 3) how their beliefs influenced their mathematics instruction. It used…

The topic of keeping livestock is very well suited to addressing the ecological, social, and economic aspects of the sustainable production of our food in school lessons. However, the production of animal-based foods is mainly outside the personal experience of children and young people. To derive relevant implications for teaching, this paper…

Experts claim that individual differences in children's formal understanding of mathematical equivalence have consequences for mathematics achievement; however, evidence is lacking. A prospective, longitudinal study was conducted with a diverse sample of 112 children from a midsized city in the Midwestern United States (M[subscript age] [second…

Our paper builds on the construct of the zone of proximal development (ZPD) (Vygotsky in Mind in society: the development of higher psychological processes, Harvard University Press, Cambridge, 1978) to analyze the relationship between students' answers and the help they receive as they construct them. We report on a secondary analysis of…

In the earliest days of American education, leaders in educational theory and practice believed that the curriculum should revolve around the child's lived experiences. Geography, therefore, should hold a prominent place in the curriculum since it is through geographic concepts that children first experience the world around them. Reading and…

After the onset of formal schooling, little is known about the development of children's understanding of the arithmetic concepts of inversion and associativity. On problems of the form a+b-b (e.g., 3+26-26), if children understand the inversion concept (i.e., that addition and subtraction are inverse operations), then no calculations are needed…

We investigated the relation between children's numerical-magnitude representations and their memory for numbers. Results of three experiments indicated that the more linear children's magnitude representations were, the more closely their memory of the numbers approximated the numbers presented. This relation was present for preschoolers and…

To date, a number of studies have demonstrated the existence of mismatches between children's "implicit" and "explicit" knowledge at certain points in development that become manifest by their gestures and gaze orientation in different problem solving contexts. Stimulated by this research, we used eye movement measurement to…

The development of conceptual and procedural knowledge about counting was explored for children in kindergarten, Grade 1, and Grade 2 (N = 255). Conceptual knowledge was assessed by asking children to make judgments about three types of counts modeled by an animated frog: standard (correct) left-to-right counts, incorrect counts, and unusual…

This book examines learning science from multiple perspectives--especially a child's. The whimsical character of Mary Froggins guides readers through the steps of igniting students' natural sense of wonder, incorporating brain research, integrating science concepts with other subjects, and applying science to daily life. The authors demonstrate…

School to Career is part of a national initiative to help students make connections between the content, skills, and concepts they are learning in the classroom and careers in the real world. School-to-career practices add relevance to the elementary school curriculum and promote engagement in learning. A key feature of many school-to-career…

Young people entering post-secondary institutions or seeking employment generally require senior high school diplomas. There are few jobs available that do not require advanced levels of many kinds of literacy and most employers will consider only those applicants who have completed senior high school, even for entry-level positions. When English…