A function experience device

Abstract

A function experience device, relating to the technical field of function teaching and demonstration, comprising a display, a central processing unit and a distance sensor; the central processing unit controls the display to display a preset number of functions for the experiencer to choose; The rear control display shows the coordinate system with time as the X axis and the distance between the experiencer and the distance sensor as the Y axis, and displays the standard function image of the selected function according to the function selected by the experiencer in the coordinate system; the central processing unit controls the display Generate and display a time-distance real-time curve or a time-distance real-time straight line with time as the abscissa and the real-time distance of the experiencer detected by the distance sensor as the ordinate. This function experience device can enable learners to experience intuitively and personally The change speed of the y value when the independent variable x value in the function y=f(x) changes uniformly, so that learners can form an intuitive understanding of the learned function, and the teaching effect is better after use.

Description

Technical field: [0001] The invention relates to the technical field of function teaching and demonstration, in particular to a function experience device. Background technique: [0002] Definition of the function: Given a number set A, suppose the elements in it are x. Now apply the corresponding law f to the element x in A, denoted as f(x), and get another number set B. Suppose the element in B is y. Then the equivalent relationship between y and x can be represented by y=f(x). We call this relational expression a functional relational expression, or a function for short. The concept of function contains three elements: domain A, range C and corresponding rule f. The core of which is the corresponding law f, which is the essential feature of the functional relationship. [0003] Primary functions, power functions, logarithmic functions, quadratic functions in one variable, etc. are the teaching content in function teaching. In the education and teaching of such functi...

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Problems solved by technology

[0003] Primary functions, power functions, logarithmic functions, quadratic functions in one variable, etc. are the teaching content in function teaching. In the education and teaching of such functions, teachers generally use the methods of preaching, formula reasoning and calculation, and illustrations. Although the traditional teaching method can explain the characteristics of various functions in detail, in teaching practice, this traditional teaching often has disadvantages: first, it cannot make learners feel the relationship between functions more intuitively, and cannot personally experience the functions of functions. When the value of the independent variable x in y=f(x) changes evenly, the change speed of the y value causes the learners to only have a vague feeling about the corresponding function, and lacks an accurate understanding; second, this teaching method is relatively boring and difficult Arouse learners' interest in learning, resulting in poor teaching effect, and learners forget relevant knowledge quickly after learning

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