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What teaching methods can help diversify learning and make it modern?

STORYTELLING
Storytelling is the art of interesting storytelling.

A teacher can captivate students with his or her stories about mathematics and its importance in human life. For example, when studying the signs of equality of triangles, tell about an interesting way to measure the distance to an inaccessible point proposed by Thales of Miletus. It is also advisable to involve students in creating similar stories, in particular, based on various historical information and mathematical facts.

MAKING
Making is the creation of something with your own hands.

By bending paper, you can create segments, angles, and other geometric shapes. If students repeatedly bend the paper to form angles that are formed when two lines intersect with a transversal, they will better understand the nature and properties of such angles.

Using cardboard, students can easily make spatial shapes out of scans and, accordingly, explore their properties.

To better distinguish and visualize the angles between the elements of a pyramid, you can ask students to wrap the corresponding angles on the frame model with threads of different colors.

When teaching stereometry, you can have students create different combinations of shapes in 3D printing software. Then, if you have a 3D printer, you can print them out.

EXPERIENTIAL LEARNING
In mathematics lessons, it is advisable to engage students in research activities that introduce them to the basic stages of scientific research, such as observation and experimentation.

Research activities of students in the classroom include:

  • research approach to the introduction of concepts;
  • performing research work;
  • solving research problems.

With the research approach, the teacher does not provide new information to students in a ready-made form, but leads students to the realization of the concept through educational and cognitive activities.

PROJECT METHOD
To demonstrate the close interdisciplinary connections between mathematics and other subjects and its applied nature, it is advisable to offer students project work (individual, pair or group). These projects can be long-term, medium-term, or short-term.

BLENDED LEARNING
In today’s information society, software tools help organize blended learning: that is, school-based learning combined with online learning.

Blended learning = traditional learning + online learning.

In blended learning, students learn to acquire knowledge independently, plan their activities, and work with different sources of information.