Briefly demonstrate how Number and Algebra are taught in basic schools

In basic schools, Number is taught through:

1. Counting and Cardinality: Understanding that numbers represent quantities. This starts with rote counting and then associating a number with a set of objects.
2. Operations: Learning the four basic operations: addition, subtraction, multiplication, and division. This is often done with manipulatives (like blocks), number lines, and eventually algorithms.
3. Number Sense: Developing an intuitive understanding of numbers, their relationships, and magnitude. This includes concepts like place value, comparing numbers, and estimation.

Algebra is introduced in basic schools through:

1. Patterns: Recognizing and extending numerical and geometric patterns. For example, identifying the next number in a sequence like 2, 4, 6, __.
2. Unknowns: Using symbols (often boxes or letters like 'x') to represent unknown quantities in simple equations. For instance, 3 + □ = 7 or 2 × x = 10.
3. Relationships: Understanding how quantities relate to each other, which lays the groundwork for functions and variables. This can be seen in simple word problems that require setting up an equation to solve.