Answer to Question #106939 in Algebra for Nikita Koladiya

Question

Write two examples of situation one from the area of measurement and other from the area of fractions which illustrate the difference between an adult’s and a child’s way of thinking. Describe an activity to minimize the adult-child gap that show up in the primary class room.

Answer 1

Solution.

Solve by measurement:

The length of the segment AB is 12 cm. Why is the fourth part of this segment equal ? What is the length of three-fourths?

Solve by fractions:

The length of the segment AB is 12 cm. Why is 1/4 of this segment equal? What is the length of 3/4?

It is recommended to formulate the concept of fractions in three main stages:

1) first, children learn the actual fragmentation (division) of various specific objects at the part level; form fractions;

2) then the children do the same work already on the drawings (drawings of circles, segments);

3) children operate on the imagination.

Answer:

- thinking arises as a means of solving

the practical problems facing the child in the subject activity;

- in solving the practical problems combines subject actions with mental, which causes the emergence of rational ways of action;