1) Number Sense
The first mathematics skill that students learn is basic number
sense. Number sense is the order and value of numbers. Through the
use of their number sense, students can recall that ten is more
than five and that positive numbers indicate a greater value than
their negative counterparts. Students commonly begin learning
number sense skills in pre-school, and continue developing a more
complex understanding of the concept throughout elementary school.
Teachers introduce this skill to students by having them order
digits and complete basic counting activities. They extend their
knowledge by introducing the concept of the greater than and less
than symbols and explaining what the use of each indicates.
2) Addition and
Subtraction
The first mathematical operation that students learn is addition,
followed closely by subtraction. Students begin studying these
skills through the use of manipulatives, or physical tools that
represent objects, as early as pre-school, and continue building
their skills, adding and subtracting ever larger numbers through
elementary school. When the skills are initially introduced,
students perform rudimentary calculations using single digits.
Later in their study, they practice applying these skills through
the completion of story problems.
3) Multiplication and
Division
After developing a complex understanding of addition and
subtraction, students move on to studying multiplication and
division. Depending on the student’s math achievement level, he may
begin studying these operations as early as first grade. As with
addition, students' study of these operations begins with single
digit calculations. As they develop their multiplication and
division skills, the problems become increasingly complex,
involving larger numbers.
4) Decimals and
Fractions
After students develop a strong understanding of number sense, they
explore fractional numbers or numbers that lay between whole
digits. Commonly this study begins in first grade with the
exploration of basic fractions including ½ and ¼. After learning
fractions, including how to add, subtract, divide and multiply
non-whole numbers in fraction form, students study decimals. A
strong understanding of fractions and decimals is vital, as
students will use these non-whole numbers extensively as they
continue their math study.
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