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December 2011, Volume 18, Issue 5

FEATURES

Teaching number in the early elementary years
Chris R. Cain and Valerie N. Faulkner
To help children understand the concrete concept that an abstract orthographic symbol represents, let’s apply the same strategies we use for teaching background knowledge in reading.
Second Look:
Early Childhood

Listening responsively
Kadian M. Callahan
Opportunities to explore prospective elementary teachers’ ideas about the perimeter and area of polygons require more than simply engaging the teachers in mathematical discourse.

Teaching measurement with literature
William P. Bintz and Sara D. Moore
Try a lesson that integrates reading, writing, and drawing to teach linear and fractional computation.

Connecting class talk with individual student writing
Madelyn M. Williams and Tutita M. Casa
When first graders seemed to understand symmetry, their teacher gained insight into their individual conceptualizations and the unique sources from which they drew perspectives.

Second Look - Early Childhood

Mathematics in the Preschool
Defines quality preschool mathematics that is developmentally appropriate for young children.

Thinking about Learning Trajectories in Preschool
Learning trajectories (routes, curves) in preschool and how they helped a teacher develop goals and objectives for her students’ mathematical knowledge. Learning trajectories have three parts: a mathematical goal, a developmental path, and a set of activities matched to each of those levels. Activities and a teacher's explanation are included.

Number relationships in preschool
Try these early-learning experiences to strengthen understanding of number and quantity.

Preschoolers’ number sense
Consider using a game-based assessment of number sense in young children, including those at risk because of socioeconomic level, disability, or the necessity of learning a second language.

Illuminations: How Many Letters Are in Your Name?
Students review numbers 1 to 10 by counting the number of letters in their names and their classmates' names. They also write and order numbers. The class compiles students' finished product in a class book.

Standards for Grades Pre-K-2
During the years from birth to age four, much important mathematical development occurs in young children. Whether they are cared for by family members during their preschool years or receive care from persons outside their families, all children need their innate desire for learning to be nurtured and supported. In kindergarten through grade 2, considerations such as high-quality educational settings and experiences become paramount. Throughout the early years, the Standards and specific expectations for mathematics learning recommended here can help parents and educators give children a solid affective and cognitive foundation in mathematics.