"Number
concepts are a part of every day life even before a child enters pre-school. Helping
to set the table, watching the groceries get purchased, dividing snack with a
sibling, and making a decision to listen to a parent before the count of three,
all involve mathematical thinking. Mathematical literacy refers to the knowledge
and skills that are necessary to perform mathematical tasks relevant to everyday
life." At
the Children's School, we consider mathematical literacy as part of our goal to
promote Discovery and Exploration, which encompasses skills for general scientific
thinking, as well as the more traditional mathematical concepts of number, space,
and measurement. As with traditional literacy, mathematical literacy involves
both oral and written comprehension and expression, so opportunities to strengthen
listening, speaking, reading, and writing with respect to mathematics are provided.
In this article, I share some of the ways that mathematical thinking is embedded
into our school day with children. I encourage you to consider how you can naturally
incorporate mathematical concepts into your everyday interactions as well. Other
sections of this newsletter report a current study on numerical estimation and
the results of our recent school-wide estimation experience with the Pennies Project.
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Circle
Time Taking attendance and reviewing the calendar are an important part
of the class routines at the Children's School. We count friends, claps and taps
in our rhythms, and days of school (we just passed 100 for both the 4's and the
Kindergarten). We notice page numbers in books and dates on the class calendar.
Songs about counting and books with mathematical content are another important
part of circle time. The 3's love "Caps for Sale" and spent most of
the Stories unit on "The Three Little Pigs", "Goldilocks and the
Three Bears", and "The Three Billy Goats Gruff". Schedules
and Time Learning the daily schedule and various routines promote
sequential ordering, which is an important mathematical skill. We also incorporate
counts into some of our routines, such as one squirt of soap and three pumps on
the paper towel machine while hand washing. We begin to help children understand
large units of time by practicing the sequence of days, months, and seasons. We
also promote familiarity with small units of time by giving the children a five-minute
warning until clean-up time or offering fifteen minutes to work on journal drawing
and writing. Classroom
Arrangement Our classrooms are number rich environments. Learning Centers
in the green room post dots and written numerals to identify how many spaces are
available in the center for the children to use. The kindergarten has necklaces
at each center. There is a one to one correspondence between the necklaces and
the number of spaces available. The kindergarten also numbers their lunch tables.
In all the classrooms, children see time schedules and birthday charts posted,
and many groups do their own charting to record specific observations (bus vs.
car friends, glove vs. mitten wearers, etc.). Children learn numeral recognition
partially because so many numbers are present in their environment for them to
explore. Sample
Learning Centers Blocks provide children with an opportunity to develop
a concrete understanding of concepts such as high, low, big, small, more, many
and few. Children also begin to create patterns with the blocks. Children may
use blocks to make shapes or to organize blocks in lines. Teachers encourage discussions
about structures children build, highlighting mathematical concepts in their conversations.
Sometimes children create block ramps and roads. Teachers can encourage the children
to speak about concepts such as fast and slow, forward, around and beside with
truck and train play.Our
block area is also full of multiples. These include blocks of different types,
colors, shapes, and sizes, together with supplementary materials such as toy people,
animals, and vehicles. The
sensory table provides children with the opportunity to sort smaller objects in
greater quantities. Children may also experiment with arranging multiple objects
into patterns. Examples include buckeyes, large buttons, cotton balls, pom-poms
and feathers. When the sensory table is filled with sand or water, children explore
the concepts of heavy and light by pouring in and out of containers and funnels.
Puzzles and shape
games offer children an opportunity to explore spatial relationships. In addition,
most games require rote counting with a die, spinner or cards. Children also learn
about numbers and measurement when they use adult tools, particularly when following
a recipe in the kitchen or building something in the woodworking area.
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