Overview of problems dealing with the question how to find speed in school courses in mathematics and physics

notion of speed - one of the key characteristics of dynamic parameters as a separate entity and a system.Indeed, speed is the most important physical quantities characterizing the movement, and the notion of movement a person faces in their life time.It does not matter, I mean the movement of molecules or multi-ton trucks, pedestrian or multimeter train.That is why the study of the velocity as a physical quantity in a school course of mathematics and physics is given a lot of time, and the reason for such attention to this parameter is not only the fact that a person is faced with the movement of the time, but also with the fact that the notion of speed has a diverse character.

first task devoted to how to find the speed, the disciples met in elementary school mathematics course (usually a 3 and 4 classes).These tasks are, of course, are elementary and devoted to consideration of the ideal model of mechanical motion.Introduction to the mathematical description of movement of the bodies, students start with the most important concepts - the way of speed and time - and the well-known formula, which states that the path is the product of the speed of traffic on the move.

At this stage in the school mathematics course discusses the concept of performance, telling the students how to find the speed of the work.This is very expedient, t. To. The mathematical description of these processes are similar and, therefore, students will be easier to make sense at first sight very complex definitions and performance.

After mastering the basic laws of mechanical motion as an example of one body students get acquainted with the phenomenon of motion of several bodies simultaneously.Of course, in the primary school examination of the process occurs on elementary examples and ideal model.Students solve problems and learn how to find the speed of approach, if one catches another body or two bodies moving towards each other.

Tasks dedicated speed continue to meet the students and middle level school mathematics.In the fifth grade, students are introduced to the concept of average speed.It is very important to emphasize the fact that the average speed and the arithmetic mean - different values.Most students confuse these concepts by projecting formula for calculating the mean value in the task devoted to the movement.It is important to explain how to find the speed, if the motion is made at different, distinct time intervals at different speeds.

more complex phenomena of mechanical motion are considered in the school physics course, which is beginning to be studied students in the 7th grade.First, here it is also considered basic concepts of motion-related issues, how to find the initial velocity of the body before the acceleration, or how to calculate the path traveled by the body to a certain date.

In grade 9 students are introduced to the concept of movement and its difference from the path.At the same stage of studying mechanical motion acquaint students with the decisions of the classical problem of how to find the rate of convergence of bodies moving at an angle to each other and, in particular, perpendicular.

mechanics course continues in the senior school physics course, but here the focus is on solving problems related to the movement of a set of bodies with complex movements of the body.For example, in the 10th grade a lot of time is devoted to the tasks devoted to the movement of the body at an angle to the horizon.

In conclusion, the concept of speed, of course, is found not only in mechanics, but because the students in the study of other branches of physics (electrostatics, magnetostatics, molecular physics) are also faced with the movement of the particles (in Vol. H. Charged), where learningfind the speed of the molecules and atoms.