Elementary school

The principle of acting self-determination should, of course, also be anchored in elementary school as an essential moment. Recognizing math weaknesses requires an expansion of the perspective. Not only the fact whether a task was calculated correctly is important but also the way which was taken to solve a task.

Correct solutions do not necessarily say anything about the child’s arithmetic ability and skills. Especially in the first years of school, students can achieve their goals by counting. Not to be underestimated is the ability of low-achieving children to hide their problems.

The development of mathematical thinking is at the center of complex studies. As early as the 1960s, Piaget carried out research on this subject and found that the development of the concept of numbers depends largely on the ability of the visual-spatial imagination. The development of the concept of numbers, the gradual expansion of the number space up to one million (in the fourth year of school) and the gradual penetration of the same is the focus of mathematics instruction in elementary school.

The development of the number spaces takes place step by step, subdivisions can be made and transitions at the end of the school year are fluid. For example, at the end of the first school year, the number range can be extended to 100. A mathematical penetration of the number space then takes place in the second school year.Number range up to 20 learning areas: Number range up to 100 learning areas: Number room up to 1.

000 learning areas: Number range up to 1. 000. 000 learning areas:

Properties and relationships
Numbers – Addition and subtraction
Sizes
Geometry
Expansion of the number space
Addition and subtraction
Multiplication and division
Properties of numerical sets
Sizes
Geometry
Expansion of the number space
Addition and subtraction written calculation methods
Multiplication and division
Properties of numerical sets
Sizes
Geometry
Expansion of the number space
Addition and subtraction
Multiplication and Divisional Written Calculation Methods
Properties of numerical sets
Sizes
Geometry

The development of the notion of numbers and the orientation in the number space is given a special significance, because a penetration and an orientation ability in the respective number space is of special importance for all further tasks. This includes:

Bundling to build the decadic place value system,
Working with the value board
The orientation on the number ray, the number band, the scoreboard, the hundred field, the thousand field, … to build number relations (successors, predecessors, neighboring tens, hundreds, thousands, …
The writing and