CN109036002B

CN109036002B - Advanced mathematical function teaching course optimization method

Info

Publication number: CN109036002B
Application number: CN201811108038.5A
Authority: CN
Inventors: 耿显亚; 褚静
Original assignee: Anhui University of Science and Technology
Current assignee: Anhui University of Science and Technology
Priority date: 2018-09-21
Filing date: 2018-09-21
Publication date: 2020-10-27
Anticipated expiration: 2038-09-21
Also published as: CN109036002A

Abstract

The invention belongs to the technical field of mathematical teaching, and particularly relates to a high-class mathematical function teaching course optimization method, which comprises the following steps: a teacher prepares a function curve to be taught in advance and stores the function curve in a USB flash disk; the method comprises the following steps of carrying a demonstration teaching aid onto a teacher desk, electrically connecting a controller of the demonstration teaching aid with a display screen of a classroom through a data line, inserting a USB flash disk into the display screen through a data interface, and completing automatic drawing of a function curve on the demonstration teaching aid through the controller; a camera is placed in front of the demonstration teaching aid to collect signals, and the drawing process of the demonstration teaching aid in S2 is displayed through a projector; synchronously playing a function formula and a solving step on a projector, and playing the function formula and the solving step in real time through a voice broadcasting device connected with a display screen; and storing the signals collected by the camera to be used as subsequent learning materials. The invention improves the efficiency of function teaching and has high teaching quality.

Description

Advanced mathematical function teaching course optimization method

Technical Field

The invention belongs to the technical field of mathematical teaching, and particularly relates to a high-class mathematical function teaching course optimization method.

Background

Higher mathematics is an important basic subject of a science and academy of industry and a necessary mathematics course for students who are not specialized in mathematics and science and engineering, and is a necessary course for other specialties. As a science, advanced mathematics has inherent characteristics, namely high abstraction, strict logic and wide applicability. The abstract and the computability are the most basic and obvious characteristics of mathematics, and have high abstract and unity, so that the essential rules can be deeply disclosed and can be widely applied. Strict logicality means that in the induction and arrangement of mathematical theories, no matter concepts and expressions, judgment and reasoning, logical rules are applied and the thinking rules are followed. Therefore, mathematics is also a thought method, and the process of learning mathematics is the process of thinking training. The progress of human society is not separated from the wide application of mathematics. Especially, in the modern times, the application field of mathematics is widened due to the appearance and popularization of electronic computers, and the modern mathematics is becoming a strong power for the development of science and technology, and meanwhile, the modern mathematics also widely and deeply permeates the field of social science. Therefore, it is important to our knowledge to learn higher mathematics.

Advanced mathematics is a more difficult course in colleges and universities, and is abstract and boring, so students often spend more time to learn. In the course of mathematics teaching in universities or colleges, in general, in order to facilitate better understanding of students, teachers usually explain in combination with mathematical graphs in the course of teaching. Therefore, some intuitive figures such as figures and curves are often drawn on the blackboard for comparison and explanation, and the accuracy of drawing on the blackboard also affects the teaching effect. For function teaching, a teacher explains on a blackboard basically, the content is abstract and difficult to understand, different function graphs need to be drawn repeatedly for different functions aiming at specific conditions in the teaching process, and therefore the teaching time in a classroom is wasted and inconvenience is brought to the teacher.

Disclosure of Invention

In order to make up for the defects of the prior art, the invention provides a high-class mathematical function teaching course optimization method. In the teaching process, various function curves are automatically drawn through the demonstration teaching aid and displayed through the projector, so that the efficiency of function teaching is improved, the teaching quality is high, students can feel the change of the function curves intuitively, and the understanding of the functions is deepened; meanwhile, a function solving formula is played in time through the voice broadcasting equipment, so that students can timely master the solving method of the function in watching, and the teaching quality is high.

The technical scheme adopted by the invention for solving the technical problems is as follows: the invention relates to a high-class mathematical function teaching course optimization method, which comprises the following steps:

s1: a teacher prepares a function curve to be taught in advance and stores the function curve in a USB flash disk;

s2: the demonstration teaching aid is transported to a teacher' S desk, a controller of the demonstration teaching aid is electrically connected with a display screen of a classroom through a data line, a USB flash disk in S1 is inserted into the display screen through a data interface, and the function curve is automatically drawn on the demonstration teaching aid through the controller, so that various complex function curves can be rapidly and efficiently displayed, and the teaching level is improved;

s3: a camera is placed in front of the demonstration teaching aid to collect signals, the drawing process of the demonstration teaching aid in S2 is displayed through a projector, students can clearly see the drawing process of a function curve through the projector, and understanding of the function is deepened;

s4: the function formula and the solving step are synchronously played on the projector in the S3, the function formula is played in real time through a voice broadcasting device connected with a display screen, the formula is solved through the function of voice broadcasting while the curve is watched, the understanding is more visual, and the teaching effect is good;

s5: storing the signals collected by the camera in S3 as the subsequent learning materials;

the demonstration teaching aid in the S2 comprises an operation table, a lifting device, a drawing device, an erasing device and a PLC (programmable logic controller), wherein the operation table comprises an outer frame and a panel, and the outer frame is of a rectangular frame structure; the panel is of a strip structure, the number of the panels is at least three, the thickness of the panel is smaller than 2mm, the panel is positioned in the outer frame, the panels are horizontally arranged into a whole for teachers to draw figures for integral teaching, rotating shafts are arranged at the upper end and the lower end of the panel, the panel is rotatably installed in the outer frame through the rotating shafts, a rectangular cavity is arranged in the top of the outer frame, the end part of the rotating shaft above the panel extends into the rectangular cavity of the outer frame, a rectangular magnet is fixed at the end part of the rotating shaft above the panel, the magnetism of the rectangular magnets on the rotating shafts of adjacent panels is opposite at the end close to each other; the direct current electromagnet is connected with a direct current power supply through a reversing switch, and the magnetism of the direct current electromagnet is changed through the reversing switch, so that the rectangular magnet rotates to drive the panel to rotate, and the back of the panel rotates to the front to facilitate drawing of a new figure; the lifting device is used for adjusting the height of the operating platform and comprises an upper bottom plate, a lower bottom plate, a first connecting rod, a second connecting rod, a nut, a screw and a traveling wheel, wherein the upper bottom plate is fixed below the operating platform; the number of the first connecting rods is two, the upper ends of the first connecting rods are hinged to the lower surface of the upper bottom plate, and the first connecting rods are arranged below the upper bottom plate in a bilateral symmetry mode; the number of the nuts is two, the middle position of each nut is horizontally provided with a threaded hole, and the upper end of each nut is hinged with the lower end of the connecting rod; the second connecting rod and the first connecting rod are symmetrically arranged around the horizontal plane, the upper end of the second connecting rod is hinged with the lower end of the nut, and the lower end of the second connecting rod is hinged with the lower bottom plate; the screw rod is horizontally arranged on the two nuts through the threaded hole; the walking wheels are arranged below the lower bottom plate and used for driving the teaching aid to move; the drawing device is arranged on the outer frame and used for automatically drawing a graph on the panel, and comprises a first sliding block, a first lead screw, a first motor, a first guide rod, a second lead screw, a second sliding block, a second guide rod and a second motor, wherein the first lead screw is horizontally arranged at the top of the front end face of the outer frame through a fixed block; the first guide rod is horizontally arranged at the bottom of the front end face of the outer frame through a fixing block; the first sliding blocks are two in number, one sliding block is installed on the first lead screw through threaded connection, and the other sliding block is installed on the first guide rod in a sliding mode; the first motor is arranged on the outer frame and used for driving the first screw rod to rotate; the second lead screw is vertically arranged on the first slide blocks; the second sliding block is installed on the second lead screw through threaded connection, and a chalk chuck is arranged on the end face, close to the panel, of the second sliding block and used for clamping chalk to achieve drawing; two ends of the guide rod II are respectively fixed on the two sliding blocks I, and the sliding blocks II vertically penetrate through the guide rod II; the second motor is arranged on the first sliding block and used for driving the second screw rod to rotate, and the first motor and the second motor are both electrically connected with the PLC; the erasing device is positioned on the back surface of the panel and used for erasing a pattern drawn on the surface of the panel so as to facilitate next redrawing, the erasing device comprises a mounting block, a first spring, a movable block, a brush plate, a guide rod, a scissor type lifting mechanism and a first cylinder, a sliding groove is formed in the side wall of the rectangular cavity, the sliding groove and the rectangular magnet are positioned at the same height, the sliding groove is positioned on the back surface of the panel, the mounting block and the first spring are arranged in the sliding groove, the mounting block is in contact with the rectangular magnet under the elastic force action of the first spring, and the mounting block can horizontally move along the sliding groove; the brush board is characterized in that the guide rod is an elastic rod, the guide rod is positioned on the back surface of the panel, the upper end of the guide rod is hinged to the bottom of the mounting block, the lower end of the guide rod is hinged to the outer frame, and the brush board can be always in contact with the panel due to the existence of the guide rod; an unthreaded hole is formed in the upper surface of the first movable block, close to the left side, the movable block is installed on the guide rod through the unthreaded hole, and the movable block is located on the back of the panel; one end of the scissor type lifting mechanism is arranged at the bottom of the movable block, the other end of the scissor type lifting mechanism is arranged on the outer frame, and the scissor type lifting mechanism is used for realizing the up-and-down movement of the movable block; the brush plate is fixed at one end of the movable block close to the panel and used for erasing the surface of the panel; the first air cylinder is arranged on the outer frame and used for pushing the scissor-type lifting mechanism to move. When the novel chalk drawing device works, the PLC controls the first motor and the second motor to work to drive a chalk to draw a figure on the panel, when a new figure needs to be drawn, the reversing switch is shifted to enable the direction of current provided by the direct current power supply to the direct current electromagnet to be changed, magnetism at two ends of the direct current electromagnet to be changed, so that the rectangular magnet rotates by one hundred eighty degrees, the rotation of the rectangular magnet drives the rotating shaft to rotate, the panel synchronously rotates, one surface of the panel on which the figure is drawn rotates to the back, and the surface of the panel on which the figure is not drawn rotates to the front, so that next drawing can be immediately carried out, and teaching efficiency is improved; at rectangle magnet pivoted in-process, rectangle magnet extrusion installation piece moves along the spout, make the guide bar take place to incline, thereby make the increase of distance between brush board and the panel, be convenient for the panel accomplish smoothly and rotate, rectangle magnet accomplishes the back of rotating, because the installation piece contacts with rectangle magnet all the time, thereby the installation piece moves to the original position, the brush board contacts with the panel again, then cylinder one promotes the motion of scissor-type elevating system, promote the movable block along the guide bar up-and-down motion, make the brush board up-and-down motion on the panel, the figure of drawing on the panel is erased, the reuse of next time of being convenient for, the time of wiping the panel has been saved, and the efficiency is improved.

An air bag is arranged in the chute of the outer frame and is connected with an air storage tank through an air pipe; the air storage tank is communicated with the first air cylinder through an electromagnetic valve and an air pipe; the electromagnetic valve is connected with the PLC. When the rectangular magnet rotates to push the mounting block to move towards the sliding groove, the mounting block extrudes the air bag to enable the air bag to generate compressed air and store the compressed air in the air storage tank, and when the panel rotates to be finished, the electromagnetic valve works to enable the compressed air in the air storage tank to be supplied to the first air cylinder through the air pipe to push the first air cylinder to move.

The scissor-fork type lifting mechanism is provided with a second air cylinder between two adjacent scissor arms, two ends of the second air cylinder are respectively hinged to the two adjacent scissor arms, and the two adjacent air cylinders are communicated through air pipes; the bottom of the outer frame is provided with a water tank, the cylinder two-way at the bottom is connected with the water tank through an air pipe, a water outlet is arranged below the panel of the outer frame, an atomizing nozzle is arranged at the position of the water outlet, and the water outlet is communicated with the water tank. When the first air cylinder pushes the scissor-type lifting mechanism to move downwards, the second air cylinder is compressed to generate compressed air, the generated compressed air is sprayed into the water tank, water in the water tank is sprayed out from the water outlet, the sprayed water is atomized due to the existence of the atomizing nozzle, the water mist is sprayed to the back face of the panel, chalk character patterns on the panel can be wet, the brushing plate can be conveniently cleaned, dust is avoided, and the teaching environment is improved.

The movable block is provided with a rectangular groove at the right lower corner; the brush board is of a roller structure, two ends of the roller are horizontally arranged in the rectangular grooves of the movable blocks, the movable blocks are provided with stepping motors, the stepping motors are connected with the roller, and the surface of the roller is provided with brush hair. When the movable plate moves up and down along the guide rod, the stepping motor drives the roller to rotate periodically, so that the bristles at different positions on the surface of the roller can be in contact with the panel, the service life of the bristles is prolonged on one hand, and the cleaning effect of the panel is improved on the other hand.

The movable block is also provided with a first friction wheel, the first friction wheel is arranged on the roller, and the surface of the first friction wheel is provided with a pressure sensor; a cleaning module is arranged below the panel on the outer frame and used for cleaning bristles; the cleaning module comprises two fixed seats, two friction wheels and two extrusion rollers, and the extrusion rollers are horizontally arranged on the outer frame through the fixed seats; the second friction wheel is arranged at the end part of the extrusion roller and is positioned right below the first friction wheel; and ridge-shaped bulges are arranged on the surface of the extrusion roller. When the fly leaf drives cylinder downstream and makes friction pulley one and friction pulley two contact, pressure sensor detects pressure variation, makes step motor continuously rotate through feedback PLC controller, makes the friction pulley drive friction pulley two motions, and friction pulley two drive squeeze roll rotation, and when squeeze roll rotated, the spine form arch on squeeze roll surface was strikeed to the cylinder surface irregularly, made the dust on the brush hair drop, realized the clearance to the brush hair.

The invention has the following beneficial effects:

1. according to the high-class mathematical function teaching course optimization method, various function curves are automatically drawn through a demonstration teaching aid in the teaching process and are displayed through a projector, so that the efficiency of function teaching is improved, the teaching quality is high, students can feel the change of the function curves intuitively, and the understanding of the functions is deepened; meanwhile, a function solving formula is played in time through the voice broadcasting equipment, so that students can timely master the solving method of the function in watching, and the teaching quality is high.

2. According to the method for optimizing the teaching courses of the high-class mathematical functions, the demonstration teaching aid is matched with the panel through the arrangement of the drawing device, the computer is used for controlling the drawing device to move on the plane where the panel is located to achieve automatic drawing, and drawing efficiency is improved; adopt the panel to take place one hundred eighty degrees rotations under rectangular magnet and direct current electromagnet's mating reaction simultaneously, make the front and the back of panel take place to transfer, when there is the figure in the front, alright utilize original back to carry out drawing next time immediately, recycle the back erase device realize that the figure that the panel was drawn is erased automatically, realize the automatic clearance of panel to the efficiency of figure drawing has been improved, teaching efficiency is high.

3. According to the method for optimizing the teaching courses of the high-grade mathematical functions, the upper height and the lower height of the operating platform are adjusted through the scissor-fork type lifting mechanism, the scissor-fork type lifting mechanism is used for extruding the air cylinder II to generate compressed air in the descending process to enable water in the outer frame water tank to be sprayed to the back face of the panel through the atomizing nozzle, and chalk patterns to be erased on the back face of the panel are moistened, so that the panel is conveniently scrubbed, dust is avoided, and the teaching environment is improved.

Drawings

FIG. 1 is a flow chart of a method of the present invention;

FIG. 2 is a front view of the demonstration aid of the present invention;

FIG. 3 is a left side view of the present invention;

FIG. 4 is a cross-sectional view A-A of FIG. 3 of the present invention;

in the figure: the device comprises an operating table 1, a lifting device 2, a drawing device 3, an erasing device 4, an outer frame 11, a panel 12, a rotating shaft 13, a rectangular cavity 111, a rectangular magnet 14, a direct current electromagnet 15, an upper base plate 21, a lower base plate 22, a first connecting rod 23, a second connecting rod 24, a nut 25, a screw 26, a traveling wheel 27, a first sliding block 31, a first lead screw 32, a first guide rod 33, a second lead screw 34, a second sliding block 35, a second motor 36, a mounting block 41, a movable block 42, a brush plate 43, a guide rod 44, a scissor-type lifting mechanism 45, a first cylinder 46, an air bag 47, a second cylinder 48, a water tank 112, a water outlet 113, an atomizing nozzle 49, a rectangular groove 421, a first friction wheel 5, a cleaning module 6, a fixed seat 61, a second friction wheel 62, an extrusion.

Detailed Description

A method for optimizing a high-class mathematical function teaching course according to an embodiment of the present invention will be described below with reference to fig. 1 to 4.

As shown in fig. 1-4, the method for optimizing a high-class mathematical function teaching course according to the present invention includes the following steps:

the demonstration teaching aid in the S2 comprises an operation platform 1, a lifting device 2, a drawing device 3, an erasing device 4 and a PLC (programmable logic controller), wherein the operation platform 1 comprises an outer frame 11 and a panel 12, and the outer frame 11 is of a rectangular frame structure; the panel 12 is of a strip structure, the number of the panels 12 is at least three, the thickness of the panel 12 is smaller than 2mm, the panel 12 is positioned inside the outer frame 11, the panels 12 are horizontally arranged into a whole for teachers to draw figures for integral teaching, rotating shafts 13 are arranged at the upper end and the lower end of the panel 12, the panel 12 is rotatably installed in the outer frame 11 through the rotating shafts 13, a rectangular cavity 111 is arranged in the top of the outer frame 11, the end part of the rotating shaft 13 above the panel 12 extends into the rectangular cavity 111 of the outer frame 11, a rectangular magnet 14 is fixed at the end part of the rotating shaft 13 above the panel 12, the magnetic properties of the rectangular magnets 14 on the rotating shafts 13 of the adjacent panels 12 are opposite at the mutually close ends, and; the direct current electromagnet 15 is connected with a direct current power supply through a reversing switch, and the magnetism of the direct current electromagnet 15 is changed through the reversing switch, so that the rectangular magnet 14 rotates to drive the panel 12 to rotate, and the back of the panel 12 rotates to the front to facilitate drawing of a new figure; the lifting device 2 is used for adjusting the height of the operating platform 1, the lifting device 2 comprises an upper bottom plate 21, a lower bottom plate 22, a first connecting rod 23, a second connecting rod 24, a nut 25, a screw 26 and a travelling wheel 27, and the upper bottom plate 21 is fixed below the operating platform 1; the number of the first connecting rods 23 is two, the upper ends of the connecting rods are hinged to the lower surface of the upper bottom plate 21, and the first connecting rods 23 are arranged below the upper bottom plate 21 in a bilateral symmetry mode; the number of the nuts 25 is two, threaded holes are horizontally formed in the middle of the nuts 25, and the upper end of each nut 25 is hinged with the lower end of the corresponding connecting rod I23; the second connecting rod 24 and the first connecting rod 23 are symmetrically arranged around the horizontal plane, the upper end of the second connecting rod 24 is hinged with the lower end of the nut 25, and the lower end of the second connecting rod 24 is hinged with the lower bottom plate 22; the screw 26 is horizontally arranged on the two nuts 25 through a threaded hole; the walking wheels 27 are arranged below the lower bottom plate 22, and the walking wheels 27 are used for driving the teaching aid to move; the drawing device 3 is installed on the outer frame 11, the drawing device 3 is used for automatically drawing a graph on the panel 12, the drawing device 3 comprises a first sliding block 31, a first lead screw 32, a first motor, a first guide rod 33, a second lead screw 34, a second sliding block 35, a second guide rod and a second motor 36, and the first lead screw 32 is horizontally installed on the top of the front end face of the outer frame 11 through a fixing block; the guide rod I33 is horizontally arranged at the bottom of the front end face of the outer frame 11 through a fixing block; the number of the first sliding blocks 31 is two, one sliding block 31 is installed on the first lead screw 32 through threaded connection, and the other sliding block 31 is installed on the first guide rod 33 in a sliding mode; the first motor is arranged on the outer frame 11 and used for driving the first screw rod 32 to rotate; the second lead screw 34 is vertically arranged on the first slide blocks 31; the number of the second sliding blocks 35 is one, the second sliding blocks 35 are installed on the second lead screw 34 through threaded connection, and chalk chucks are arranged on the end faces, close to the panel 12, of the second sliding blocks 35 and used for clamping chalks to achieve drawing; two ends of the second guide rod are respectively fixed on the first two sliding blocks 31, and the second sliding block 35 vertically penetrates through the second guide rod; the second motor 36 is installed on the first sliding block 31, the second motor 36 is used for driving the second lead screw 34 to rotate, and the first motor 36 and the second motor 36 are both electrically connected with the PLC; the erasing device 4 is located on the back of the panel 12, the erasing device 4 is used for erasing a graph drawn on the surface of the panel 12, so that the graph can be conveniently redrawn at the next time, the erasing device 4 comprises a mounting block 41, a first spring, a movable block 42, a brush plate 43, a guide rod 44, a scissor type lifting mechanism 45 and a first air cylinder 46, a sliding groove is formed in the side wall of the rectangular cavity 111, the sliding groove and the rectangular magnet 14 are located at the same height, the sliding groove is located on the back of the panel 12, the mounting block 41 and the first spring are arranged in the sliding groove, the mounting block 41 is in contact with the rectangular magnet 14 under the elastic force of the first spring, and the mounting block 41; the guide rod 44 is an elastic rod, the guide rod 44 is positioned on the back of the panel 12, the upper end of the guide rod 44 is hinged to the bottom of the mounting block 41, the lower end of the guide rod 44 is hinged to the outer frame 11, and the existence of the guide rod 44 enables the brush plate 43 to be always in contact with the panel 12; an upper surface of the movable block 42 near the left side is provided with an unthreaded hole, the movable block 42 is arranged on the guide rod 44 through the unthreaded hole, and the movable block 42 is positioned on the back of the panel 12; one end of the scissor type lifting mechanism 45 is installed at the bottom of the movable block 42, the other end of the scissor type lifting mechanism 45 is installed on the outer frame 11, and the scissor type lifting mechanism 45 is used for realizing the up-and-down movement of the movable block 42; the brush plate 43 is fixed at one end of the movable block 42 close to the panel 12, and the brush plate 43 is used for erasing the surface of the panel 12; the first air cylinder 46 is installed on the outer frame 11, and the first air cylinder 46 is used for pushing the scissor-type lifting mechanism 45 to move. When the drawing device works, the PLC controls the first motor and the second motor 36 to work to drive chalk to draw a figure on the panel 12, when a new figure needs to be drawn, the reversing switch is shifted to change the direction of current provided by the direct current power supply to the direct current electromagnet 15, so that the magnetism at two ends of the direct current electromagnet 15 is changed, the rectangular magnet 14 rotates one hundred eighty degrees, the rotation of the rectangular magnet 14 drives the rotating shaft 13 to rotate, the panel 12 synchronously rotates, one surface of the panel 12 on which the figure is drawn rotates to the back surface, and the surface of the panel 12 on which the figure is not drawn rotates to the front surface, so that next drawing can be immediately carried out, and the teaching efficiency is improved; in the process of rotating the rectangular magnet 14, the rectangular magnet 14 extrudes the mounting block 41 to move along the sliding groove, so that the guide rod 44 inclines, the distance between the brush plate 43 and the panel 12 is increased, the panel 12 can conveniently and smoothly rotate, after the rectangular magnet 14 rotates, the mounting block 41 is always in contact with the rectangular magnet 14, so that the mounting block 41 moves to the original position, the brush plate 43 is in contact with the panel 12 again, then the first cylinder 46 pushes the scissor-type lifting mechanism 45 to move, the movable block 42 is pushed to move up and down along the guide rod 44, the brush plate 43 is enabled to move up and down on the panel 12, and the graph drawn on the panel 12 is erased, so that the next reuse is facilitated, the time for erasing the panel 12 is saved, and the efficiency is improved.

As shown in fig. 3 and 4, an air bag 47 is arranged in the sliding groove of the outer frame 11, and the air bag 47 is connected with the air storage tank through an air pipe; the air storage tank is communicated with the first air cylinder 46 through an electromagnetic valve and an air pipe; the electromagnetic valve is connected with the PLC. When the rectangular magnet 14 rotates to push the mounting block 41 to move into the chute, the mounting block 41 extrudes the air bag 47 to enable the air bag 47 to generate compressed air and store the compressed air in the air storage tank, and when the panel 12 rotates, the electromagnetic valve works to enable the compressed air in the air storage tank to be supplied to the first air cylinder 46 through the air pipe to push the first air cylinder 46 to move.

As shown in fig. 4, a second air cylinder 48 is arranged between two adjacent stages of scissor arms of the scissor-fork type lifting mechanism 45, two ends of the second air cylinder 48 are respectively hinged to the two adjacent stages of scissor arms, and the two adjacent air cylinders 48 are communicated through air pipes; the bottom of the outer frame 11 is provided with a water tank 112, the second cylinder 48 at the lowest part is connected with the water tank 112 through an air pipe, a water outlet 113 is arranged below the panel 12 of the outer frame 11, the position of the water outlet 113 is provided with an atomizing nozzle 49, and the water outlet 113 is communicated with the water tank 112. When the first air cylinder 46 pushes the scissor-fork type lifting mechanism 45 to move downwards, the second air cylinder 48 is compressed to generate compressed air, the generated compressed air is sprayed into the water tank 112, water in the water tank 112 is sprayed out from the water outlet 113, the sprayed water is atomized due to the existence of the atomizing nozzle 49, and the water mist is sprayed to the back of the panel 12, so that the patterns of the chalk characters on the panel 12 can be wet, the brushing plate 43 can be conveniently scrubbed, meanwhile, the generation of dust is avoided, and the teaching environment is improved.

As shown in fig. 3 and 4, the movable block 42 is provided with a rectangular groove 421 at the lower right corner; the brush plate 43 is of a roller structure, two ends of the roller are horizontally arranged in the rectangular grooves 421 of the movable blocks 42, the movable blocks 42 are provided with stepping motors, the stepping motors are connected with the roller, and the surface of the roller is provided with bristles. When the movable plate moves up and down along the guide rod 44, the stepping motor drives the roller to rotate periodically, so that the bristles at different positions on the surface of the roller can be in contact with the panel 12, on one hand, the service life of the bristles is prolonged, and on the other hand, the cleaning effect of the panel 12 is improved.

As shown in fig. 4, a first friction wheel 5 is further arranged on the movable block 42, the first friction wheel 5 is mounted on the roller, and a pressure sensor is arranged on the surface of the first friction wheel 5; a cleaning module 6 is arranged below the panel 12 on the outer frame 11, and the cleaning module 6 is used for cleaning bristles; the cleaning module 6 comprises two fixed seats 61, two friction wheels 62 and two extrusion rollers 63, wherein the extrusion rollers 63 are horizontally arranged on the outer frame 11 through the fixed seats 61; the second friction wheel 62 is installed at the end part of the squeezing roller 63, and the second friction wheel 62 is positioned right below the first friction wheel 5; the surface of the pressing roller 63 is provided with a ridge-like projection 631. When the fly leaf drives the cylinder downstream and makes friction pulley one 5 and two 62 contacts of friction pulley, pressure sensor detects pressure variation, makes step motor continuously rotate through feedback PLC controller, makes friction pulley one 5 drive two 62 motions of friction pulley, and two 62 drive squeeze roll 63 of friction pulley rotate, and when squeeze roll 63 rotated, the spine form arch 631 on squeeze roll 63 surface strikeed the cylinder surface irregularly, made the dust on the brush hair drop, realized the clearance to the brush hair.

The specific process is as follows:

when the drawing device works, the PLC controls the first motor and the second motor 36 to work to drive chalk to draw a figure on the panel 12, when a new figure needs to be drawn, the reversing switch is shifted to change the direction of current provided by the direct current power supply to the direct current electromagnet 15, so that the magnetism at two ends of the direct current electromagnet 15 is changed, the rectangular magnet 14 rotates one hundred eighty degrees, the rotation of the rectangular magnet 14 drives the rotating shaft 13 to rotate, the panel 12 synchronously rotates, one surface of the panel 12 on which the figure is drawn rotates to the back surface, and the surface of the panel 12 on which the figure is not drawn rotates to the front surface, so that next drawing can be immediately carried out, and the teaching efficiency is improved; in the process of rotating the rectangular magnet 14, the rectangular magnet 14 presses the mounting block 41 to move along the sliding slot, so that the guide rod 44 tilts, thereby increasing the distance between the brush plate 43 and the panel 12, and facilitating the smooth completion of the rotation of the panel 12, after the rotation of the rectangular magnet 14 is completed, because the mounting block 41 is always in contact with the rectangular magnet 14, so that the mounting block 41 moves to the original position, the brush plate 43 is in contact with the panel 12 again, when the rectangular magnet 14 rotates to push the mounting block 41 to move into the sliding slot, the mounting block 41 presses the air bag 47 to make the air bag 47 generate compressed air and store the compressed air in the air storage tank, when the rotation of the panel 12 is completed, the electromagnetic valve works to supply the compressed air in the air storage tank to the first air cylinder 46 through the air pipe, the first air cylinder 46 pushes the scissor type lifting mechanism 45 to move, and pushes the movable block 42 to move up and down along the guide, the graph drawn on the panel 12 is erased, so that the graph can be reused next time, the time for erasing the panel 12 is saved, and the efficiency is improved.

When the first air cylinder 46 pushes the scissor-fork type lifting mechanism 45 to move downwards, the second air cylinder 48 is compressed to generate compressed air, the generated compressed air is sprayed into the water tank 112, water in the water tank 112 is sprayed out from the water outlet 113, the sprayed water is atomized due to the existence of the atomizing nozzle 49, and the water mist is sprayed to the back of the panel 12, so that the patterns of the chalk characters on the panel 12 can be wet, the brushing plate 43 can be conveniently scrubbed, meanwhile, the generation of dust is avoided, and the teaching environment is improved.

When the movable plate moves up and down along the guide rod 44, the stepping motor drives the roller to rotate periodically, so that the bristles at different positions on the surface of the roller can be in contact with the panel 12, on one hand, the service life of the bristles is prolonged, and on the other hand, the cleaning effect of the panel 12 is improved.

When the fly leaf drives the cylinder downstream and makes friction pulley one 5 and two 62 contacts of friction pulley, pressure sensor detects pressure variation, makes step motor continuously rotate through feedback PLC controller, makes friction pulley one 5 drive two 62 motions of friction pulley, and two 62 drive squeeze roll 63 of friction pulley rotate, and when squeeze roll 63 rotated, the spine form arch 631 on squeeze roll 63 surface strikeed the cylinder surface irregularly, made the dust on the brush hair drop, realized the clearance to the brush hair.

While one embodiment of the present invention has been described above, the present invention is not limited to the above embodiment, and various modifications can be made without departing from the scope of the present invention.

Industrial applicability

According to the method for optimizing the high-class mathematical function teaching course, various function curves are automatically drawn through the demonstration teaching aid and displayed through the projector, so that the efficiency of function teaching is improved, the teaching quality is high, students can feel the change of the function curves intuitively and wonderfully, and the understanding of the functions is deepened; meanwhile, the function solving formula is played in time through the voice broadcasting equipment, so that students can timely master the solving method of the function in watching, the teaching quality is high, and the high-class mathematical function teaching course optimization method is useful in the field of mathematical teaching.

Claims

1. A high-class mathematical function teaching course optimization method is characterized by comprising the following steps: the method comprises the following steps:

s2: the method comprises the following steps of carrying a demonstration teaching aid onto a teacher desk, electrically connecting a controller of the demonstration teaching aid with a display screen of a classroom through a data line, inserting a USB flash disk in S1 into the display screen through a data interface, and completing automatic drawing of a function curve on the demonstration teaching aid through the controller;

s3: a camera is placed in front of the demonstration teaching aid to collect signals, and the drawing process of the demonstration teaching aid in S2 is displayed through a projector;

s4: synchronously playing a function formula and a solving step on the projector in S3, and playing the function formula and the solving step in real time through a voice broadcasting device connected with a display screen;

the demonstration teaching aid in the S2 comprises an operation table (1), a lifting device (2), a drawing device (3), an erasing device (4) and a PLC (programmable logic controller), wherein the operation table (1) comprises an outer frame (11) and a panel (12), and the outer frame (11) is of a rectangular frame structure; the panel (12) is of a strip structure, the number of the panels (12) is at least three, the thickness of the panels (12) is less than 2mm, the panels (12) are positioned inside the outer frame (11), the panels (12) are horizontally arranged into a whole for teachers to draw figures for integral teaching, rotating shafts (13) are arranged at the upper end and the lower end of each panel (12), the panels (12) are rotatably installed in the outer frame (11) through the rotating shafts (13), a rectangular cavity (111) is arranged in the top of the outer frame (11), the end part of each rotating shaft (13) above each panel (12) extends into the rectangular cavity (111) of the outer frame (11), and a rectangular magnet (14) is fixed at the end part of each rotating shaft (13) above each panel, the rectangular magnets (14) on the rotating shafts (13) of the adjacent panels (12) have opposite magnetism at the ends close to each other, and a direct current electromagnet (15) is arranged at one end of the outer frame (11) in the rectangular cavity (111); the direct current electromagnet (15) is connected with a direct current power supply through a reversing switch, and the magnetism of the direct current electromagnet (15) is changed through the reversing switch, so that the rectangular magnet (14) rotates to drive the panel (12) to rotate, and the back of the panel (12) rotates to the front to draw a new figure conveniently; the lifting device (2) is used for adjusting the height of the operating platform (1), the lifting device (2) comprises an upper bottom plate (21), a lower bottom plate (22), a first connecting rod (23), a second connecting rod (24), nuts (25), a screw rod (26) and a traveling wheel (27), and the upper bottom plate (21) is fixed below the operating platform (1); the number of the first connecting rods (23) is two, the upper ends of the connecting rods are hinged to the lower surface of the upper bottom plate (21), and the first connecting rods (23) are arranged below the upper bottom plate (21) in a bilateral symmetry mode; the number of the nuts (25) is two, threaded holes are horizontally formed in the middle of the nuts (25), and the upper ends of the nuts (25) are hinged with the lower end of the connecting rod I (23); the second connecting rod (24) and the first connecting rod (23) are symmetrically arranged relative to the horizontal plane, the upper end of the second connecting rod (24) is hinged with the lower end of the nut (25), and the lower end of the second connecting rod (24) is hinged with the lower bottom plate (22); the screw rod (26) is horizontally arranged on the two nuts (25) through a threaded hole; the walking wheels (27) are arranged below the lower bottom plate (22), and the walking wheels (27) are used for driving the teaching aid to move; the drawing device (3) is installed on the outer frame (11), the drawing device (3) is used for automatically drawing a graph on the panel (12), the drawing device (3) comprises a first sliding block (31), a first lead screw (32), a first motor, a first guide rod (33), a second lead screw (34), a second sliding block (35), a second guide rod and a second motor (36), and the first lead screw (32) is installed on the top of the front end face of the outer frame (11) through a fixing block; the guide rod I (33) is horizontally arranged at the bottom of the front end face of the outer frame (11) through a fixing block; the number of the first sliding blocks (31) is two, one sliding block (31) is installed on the first lead screw (32) through threaded connection, and the other sliding block (31) is installed on the first guide rod (33) in a sliding mode; the first motor is arranged on the outer frame (11) and is used for driving the first screw rod (32) to rotate; the second lead screw (34) is vertically arranged on the first slide blocks (31); the second sliding blocks (35) are one in number, the second sliding blocks (35) are installed on the second lead screw (34) in a threaded connection mode, chalk chucks are arranged on the end faces, close to the panel (12), of the second sliding blocks (35) and used for clamping chalks to achieve drawing; two ends of the second guide rod are respectively fixed on the first sliding blocks (31), and the second sliding blocks (35) vertically penetrate through the second guide rod; the second motor (36) is installed on the first sliding block (31), the second motor (36) is used for driving the second lead screw (34) to rotate, and the first motor (36) and the second motor (36) are both electrically connected with the PLC; the erasing device (4) is located on the back face of the panel (12), the erasing device (4) is used for erasing a graph drawn on the panel (12) and facilitating next redrawing, the erasing device (4) comprises a mounting block (41), a first spring, a movable block (42), a brush plate (43), a guide rod (44), a scissor type lifting mechanism (45) and a first cylinder (46), a sliding groove is formed in the side wall of the rectangular cavity (111), the sliding groove and the rectangular magnet (14) are located at the same height, the sliding groove is located on the back face of the panel (12), the mounting block (41) and the first spring are arranged in the sliding groove, the mounting block (41) is in contact with the rectangular magnet (14) under the elastic force of the first spring, and the mounting block (41) can move horizontally along the sliding groove; the guide rod (44) is an elastic rod, the guide rod (44) is positioned on the back of the panel (12), the upper end of the guide rod (44) is hinged to the bottom of the mounting block (41), the lower end of the guide rod (44) is hinged to the outer frame (11), and the brush plate (43) can be always in contact with the panel (12) due to the existence of the guide rod (44); an upper surface of the movable block (42) close to the left side is provided with an unthreaded hole, the movable block (42) is arranged on the guide rod (44) through the unthreaded hole, and the movable block (42) is positioned on the back of the panel (12); one end of the scissor type lifting mechanism (45) is installed at the bottom of the movable block (42), the other end of the scissor type lifting mechanism (45) is installed on the outer frame (11), and the scissor type lifting mechanism (45) is used for achieving up-down movement of the movable block (42); the brush plate (43) is fixed at one end of the movable block (42) close to the panel (12), and the brush plate (43) is used for erasing the surface of the panel (12); the first air cylinder (46) is arranged on the outer frame (11), and the first air cylinder (46) is used for pushing the scissor type lifting mechanism (45) to move;

an air bag (47) is arranged in the chute of the outer frame (11), and the air bag (47) is connected with an air storage tank through an air pipe; the air storage tank is communicated with the first air cylinder (46) through an electromagnetic valve and an air pipe; the electromagnetic valve is connected with the PLC.

2. The method of claim 1, wherein the mathematical function lesson optimization method comprises: a second air cylinder (48) is arranged between two adjacent stages of scissor arms of the scissor type lifting mechanism (45), two ends of the second air cylinder (48) are respectively hinged to the two adjacent stages of scissor arms, and the two adjacent air cylinders (48) are communicated through air pipes; the bottom of the outer frame (11) is provided with a water tank (112), the second cylinder (48) at the lowest part is connected with the water tank (112) through an air pipe, a water outlet (113) is arranged below the panel (12) of the outer frame (11), an atomizing nozzle (49) is arranged at the position of the water outlet (113), and the water outlet (113) is communicated with the water tank (112).

3. The method of claim 1, wherein the mathematical function lesson optimization method comprises: the movable block (42) is provided with a rectangular groove (421) at the right lower corner; the brush plate (43) is of a roller structure, the two ends of the roller are horizontally arranged in the rectangular grooves (421) of the movable blocks (42), the movable blocks (42) are provided with stepping motors, the stepping motors are connected with the roller, and the surface of the roller is provided with bristles.

4. The advanced mathematical function teaching course optimization method as claimed in claim 3, wherein: the movable block (42) is also provided with a first friction wheel (5), the first friction wheel (5) is arranged on the roller, and the surface of the first friction wheel (5) is provided with a pressure sensor; a cleaning module (6) is arranged below the panel (12) on the outer frame (11), and the cleaning module (6) is used for cleaning bristles; the cleaning module (6) comprises two fixing seats (61), two friction wheels (62) and two extrusion rollers (63), and the extrusion rollers (63) are horizontally arranged on the outer frame (11) through the fixing seats (61); the second friction wheel (62) is arranged at the end part of the squeezing roller (63), and the second friction wheel (62) is positioned right below the first friction wheel (5); the surface of the extrusion roller (63) is provided with a ridge-shaped bulge (631).