KR101604466B1 - Teaching tools for learning - Google Patents

Abstract

The present invention relates to a teaching paradigm, and more particularly, to a method and apparatus for teaching a mathematical curriculum, in which a mean, variance, deviation, and standard deviation that are not easy to understand are visualized through a quadratic equation, This course deals with the teaching paradigm which makes it easier to understand the concept of deviation and thus increases interest in mathematics.
According to an aspect of the present invention, there is provided a portable terminal including a body having a function portion formed on a surface thereof, a plurality of measurement portions detachably installed in the function portion of the body, one end portion connected to each of the measurement portions, And the connection points at which the elastic members are connected to each other form an equilibrium force so that the connection points form a mean point of the points where the measurement units are installed.

Description

{Teaching tools for learning}

The present invention relates to a teaching paradigm, and more particularly, to a method and apparatus for teaching a mathematical curriculum, in which a mean, variance, deviation, and standard deviation that are not easy to understand are visualized through a quadratic equation, This course deals with the teaching paradigm which makes it easier to understand the concept of deviation and thus increases interest in mathematics.

In general, teaching paraphernalia is a supplementary tool for enhancing the learning effect, and there are various kinds such as shapes, characters, shapes of objects, shapes of animals, and mathematical symbols.

As one of these educational paradigms, infant educational parishes are not boring, but are fun to train the attention, observation, composition, comprehension, thinking, judgment, and number concepts necessary for cognitive development of preschool children. In addition, , The number concept, and so on. Also, the learning parish should always be in the area of the infant or in the radius of action for repetitive learning.

For example, in the Registration Practical Utility Model No. 20-0251871, a 'teaching parish' is proposed for the cognitive development of preschool children. The 'teaching parish' refers to a picture or figure attached to the upper part of the board, (Spelling) or a number of different sentences from the above pictures or figures on the back side of the word sheet, and putting the word sheet in the word sheet pocket, the various expressions and sentences corresponding to the various feelings There is an advantage to be able to express and express the expression and the sentence.

In addition, when students in elementary school learn mathematics, they are not able to understand the concept of multiplication correctly by simply memorizing groups while learning multiplication. To solve this problem, Korean Patent Publication No. 10-2012-0006105 , A multiplicative learning parabola has been proposed that visually displays the concept of multiplication so that it can be understood more easily. In the Korean Registered Utility Model No. 20-0317934, when the students first encounter the first fraction in the elementary school, A 'Fountain Helper' learning parish was proposed to help with this.

A variety of educational paradigms such as the one described above have been proposed, which allows children from elementary school students to learn in a difficult way and learn more easily.

However, there has not yet been developed a learning paradigm that helps students understand the concepts of mean, variance, and standard deviation, which have been developed in diverse areas but are still not easy to understand in high school mathematics. It is urgent to develop educational parishes in this area because of difficulties.

SUMMARY OF THE INVENTION The present invention has been conceived in order to solve the above-mentioned problems, and it is an object of the present invention to provide an apparatus and a method for forming an X- A measuring unit having a fixing hole formed in the fixation hole of the main body and fixed to the fixation hole of the fixture, and an elastic member connecting the plurality of measurement units, By connecting the end portions of the elastic members connected to the respective measuring portions by using the connecting members, the force of the elastic members acting on the connecting members is balanced so that the balance points that do not move form graduations By knowing the coordinates, it is possible to visualize the variance and deviation of the X component of each point, It is to provide a teaching paradigm which makes it understandable below.

Another object of the present invention is to provide an auxiliary function unit which is made of a transparent material on a top surface of a scale and on which a quadratic equation is shown, And visualizing the standard deviation of variance through the auxiliary function unit, thereby providing an educational paradigm capable of increasing understanding and interest in dispersion and standard deviation.

SUMMARY OF THE INVENTION [0006]

A plurality of measuring portions detachably provided in the function portion of the main body, one end portion being connected to each of the measuring portions, and the other end portion being composed of an elastic member connected to each other, So that the connecting point is formed as an average point of the points where the measuring units are installed.

Here, the surface of the main body is formed with a coordinate portion in which a numerical value is described below so that coordinates of an arbitrary point can be known.

The function unit is formed so as to correspond to a function of a quadratic equation of Y = X ² .

In this case, the function part is formed with a fixing hole through which the measurement part is inserted and fixed at regular intervals along the X-axis direction.

On the other hand, the elastic members all have the same elastic modulus.

The measuring unit may include a body having a guide groove formed along a longitudinal direction thereof, a control bar inserted into the guide groove, and a first support member for preventing the control bar from separating from the body.

Here, the second support member is provided at one end of the upper surface of the body with a through hole through which the elastic member is inserted, so that the direction of the measurement unit is directed in a direction in which a force acts.

The control bar may include a lower bar inserted into the guide groove, an upper bar positioned on the upper portion of the lower bar, and a connecting bar connecting the lower bar and the upper bar, wherein a locking groove is formed in the rear end, .

Meanwhile, an auxiliary function unit is provided on the upper surface of the body so as to move along the Y axis and the X axis.

Here, the auxiliary function unit is made of a transparent sheet, and is characterized in that it corresponds to a quadratic equation of Y = X ² .

According to the present invention having the above-described structure, a scale for forming an X-axis and a Y-axis is formed on the upper surface, a function part for representing a quadratic equation is formed on the scale, A measuring unit having a main body and a fixing protrusion fixedly inserted into the fixing hole, and an elastic member connecting the measuring units, wherein the measuring unit is provided at an arbitrary point of the function unit, By connecting the ends of the members by using the connecting member, the forces of the elastic members acting on the connecting members are balanced, so that the unbalanced equilibrium points can be known by the coordinates forming the graduations, It is possible to visually grasp the dispersion and the deviation of the image, thereby making it easier to understand the concepts of average and variance which are difficult to understand.

According to the present invention, there is provided an auxiliary function unit which is made of a transparent material on a top surface of a scale and on which a quadratic equation is shown, so that an equilibrium point for each point of the function unit formed on the main body is in contact with the auxiliary function unit By visually showing the standard deviation of the variance through the auxiliary function unit, it is possible to enhance understanding and concern about the variance and standard deviation.

1 is a plan view of a main body of a teaching diary according to the present invention.
2 is an exploded perspective view of a measuring unit of a teaching parlor according to the present invention.
3 is a cross-sectional view of a measuring part of a teaching parlor according to the present invention.
FIG. 4 is a plan view of the main body according to the present invention in a state in which a measurement unit is installed.
FIG. 5 is a plan view of an auxiliary function unit that is separately provided in a main body according to another embodiment of the present invention.
FIG. 6 is a graph of distributed searching for explaining a teaching paradigm according to the present invention.
FIG. 7 is a graph showing a standard deviation search for explaining a teaching paradigm according to the present invention.

Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings. The same reference numerals are used for the same constituent elements in the drawings and redundant explanations for the same constituent elements are omitted. It is to be understood that the present invention may be embodied in many different forms and should not be construed as limited to the embodiments set forth herein.

FIG. 1 is a plan view of a main body of a teaching parlor according to the present invention, FIG. 2 is an exploded perspective view of a measuring part of a teaching parlor according to the present invention, FIG. 3 is a sectional view of a measuring part of a teaching parlor according to the present invention, FIG. 5 is a plan view of an auxiliary function unit provided separately in a main body according to another embodiment of the present invention. FIG. 6 is a diagram illustrating a distribution screen for explaining a teaching paradigm according to the present invention. And FIG. 7 is a graph showing a standard deviation search for explaining a teaching paradigm according to the present invention.

As shown in FIGS. 1 to 4, the present invention relates to a learning teaching apparatus capable of visually displaying mean, variance, deviation, and the like that are learned in a mathematical subject. A plurality of measurement units 200 detachably installed in the function unit 110 of the main body 100 and one end of the elastic member 100 connected to the measurement units 200, And a plurality of elastic members 130 are connected to each other to form a force balance with each other so that the connecting point forms an average point of points where the measuring units 200 are installed.

In this case, the main body 100 has a coordinate section 105 in which a plurality of horizontal lines and a plurality of vertical lines intersect perpendicularly to each other. Numerals are written in the lower part of the coordinate section 105, The coordinates of an arbitrary point located at the center of the screen can be known.

That is, the horizontal line formed at the lower end of the coordinate unit 105 means the X axis, the vertical line formed vertically to the X axis at the center of the X axis means the Y axis, and a numerical value The X axis coordinates of each point can be known, and the increment of one point can be known, so that the coordinates of an arbitrary point can be known even if there is no numerical value corresponding to the Y axis.

At this time, numerical values may be written on the side of the coordinate unit 105 so that the coordinates of the Y axis can be known, so that the coordinates of an arbitrary point can be known at a glance.

A function unit 110 is formed on the coordinate unit 105. The function unit 110 is shown at each point of the coordinate unit 105 so as to correspond to a function of a quadratic equation of Y = X ² .

In this case, a fixing hole 120 is formed in the function part 110 at regular intervals along the X-axis direction. The measuring part 200 is inserted and fixed in the fixing hole 120.

When the user inserts the measurement unit 200 into any fixed hole 120 formed in the function unit 110 and connects the elastic members 130 coupled to the respective measurement units 200 to each other, 130 are connected to each other, the force of pulling the elastic member 130 is balanced.

At this time, a connection point connecting the point indicated by the fixing hole 120 of the function unit 110 into which the measuring unit 200 is inserted and fixed and the connecting point making an equilibrium of force by the elastic member 130 connected to each measuring unit 200 Each of the elastic members 130 has the same elastic modulus, so that a line segment formed by connecting arbitrary points of the elastic members 130 is expressed as a line segment vector expressed mathematically, Even if the line segment vector is formed by connecting various points, it corresponds to the line segment vector represented on the graph as shown in FIG. 6 and FIG. 7, respectively.

That is, the force of each elastic member 130 acting on the connecting point becomes equal to the force acting on the connecting point of the corresponding line segment vector on the graph.

The measuring unit 200 includes a body 210, a control bar 220 slidably installed on the body 210, and a first support member 230 for preventing the control bar 220 from separating from the body 210. [ And a fixing protrusion 212 protrudes downward from the lower front end of the body 210 to be easily attached to and detached from the fixing hole 120 formed in the main body 100.

A guide groove 214 is formed in the body 210 along the longitudinal direction of the body 210 so that the control bar 220 is slidable along the guide groove 214, 230 are provided on both sides of the body 210 to support the upper portion of the control bar 220 protruded to the upper portion of the guide groove 214 on both sides so that the control bar 220 can be moved freely in the guide groove 214 So that it is prevented from being separated.

The control bar 220 includes a lower bar 224 inserted into the guide groove 214 and an upper bar 222 located at an upper portion of the lower bar 224. The lower bar 224 and the upper bar 224, The connecting bar 226 is formed to be shorter than the length of the upper bar 222 and the lower bar 224 so that the connecting bar 226 is formed to have a length shorter than the length of the upper bar 222 and the lower bar 224, 228 are formed, and the elastic member 130 is engaged.

Accordingly, the control bar 220 can be moved along the guide groove 214, so that the change of the line segment vector can be known by moving the control bar 220, and the change of the equilibrium point can be detected at a glance .

A through hole 242 is formed in the second support member 240 at a rear end of the control bar 220. The through hole 242 is formed in the second support member 240 at one end of the upper surface of the body 210, The front end of the elastic member 130 engaged with the latching groove 228 to be formed is drawn out to the whole of the measuring unit 200 through the through hole 242. The ends of the elastic member 130 thus drawn out .

At this time, the elastic member 130 is formed into a ring shape, and the ends of the elastic member 130 are connected to each other using a connecting member 135 formed by a C ring or a clip.

에 고무줄

가 고정되어 있고 모든 고무줄이 한 점(연결점)에 서로 연결되고, 이때

개의 고무줄이 만나 서로 평형을 이루는 점을

라고 하고, 점

와 점

의 위치벡터를 각각

이라고 한다. (단, 고무줄

는 늘어난 길이가

가 되도록 고정되어 있다고 한다.) On the other hand, to find the equilibrium point of the force using the learning diagonal of the present invention, as shown in FIG. 6,

Rubber band on

And all the rubber bands are connected to each other at one point (connection point), and at this time

The point where the rubber bands meet and equilibrate with each other

And point

And point

The position vector of

. (However,

Has an increased length

It is said to be fixed.

가 평형점

에 작용하는 힘을

라고 했을 때 고무줄의 늘어난 길이는

이다. rubber band

Equilibrium point

The force acting on

The stretched length of the rubber band

to be.

Therefore, by the law of Hook

식(1)

Equation (1)

to be.

에서는 힘의 평형이 이루어져 있으므로 At this time,

Because of the equilibrium of forces,

식(2)

Equation (2)

to be.

When we rearrange equation (2) by substituting equation (1)

to be.

은 점

의 평균점이다.Therefore,

Point

.

,

,

를

그래프 위에 있는 점이라고 하면 다음 식이 성립한다.And, looking at the dispersion through the equilibrium point,

To

The following equation holds for a point on the graph.

식(3)

Equation (3)

에 대한 분산

은 다음과 같다.At this time, according to the dispersion formula

Dispersion for

Is as follows.

식(4)

Equation (4)

은 다음과 같다.At this time, substituting equation (3) into equation (4)

Is as follows.

의

좌표와

좌표를 구한다면

의 분산

를 구할 수 있게 된다.
Therefore,

of

Coordinates

If you get the coordinates

Dispersion of

.

5, the auxiliary function unit 140 is provided on the upper surface of the main body 100 and is movable along the Y-axis and the X-axis. The assist function unit 140, A function is shown to correspond to the quadratic equation of Y = X ² on the surface of the transparent sheet.

Therefore, a function corresponding to a quadratic equation of Y = X ² + K as well as a dispersion according to a function of Y = X ² is obtained through a function unit 110 representing a quadratic equation of Y = X ² shown in the main body 100 Can be visually displayed.

이다. 이때 Y절편을 자유롭게 움직일 수 있는 측정용 이차함수 그래프

가 있다고 하고, 측정용 이차함수 그래프가 평형점

을 지난다면 다음이 성립한다.That is, as shown in Figs. 5 and 7,

to be. At this time, a quadratic function graph

And the graph of the quadratic function for measurement is the equilibrium point

The following is true.

This formula can be summarized as follows.

에 대한 분산은 측정용 이차함수 그래프의

절편으로 표현될 수 있으며 Y절편을 자유롭게 움직일 수 있는 측정용 이차함수그래프[보조 함수부(140)]를 이용한다면 분산을 시각화하여 나타낼 수 있다.
therefore,

The variance for the graph of the quadratic function for measurement

Can be represented by the intercept, and the dispersion can be visualized by using the measurement quadratic function graph [auxiliary function unit (140)] which can freely move the Y intercept.

은

축 위에 있는 점이다. 측정용 이차함수 그래프의

을 지나며

축에 수직인 직선을 그릴 때 이 직선이

그래프와 만나는 점을

라고 한다.In the present invention, not only dispersion but also standard deviation can be visually displayed. As shown in FIG. 7,

silver

It is the point on the axis. The graph of the quadratic function for measurement

Through

When drawing a straight line perpendicular to the axis,

The points that meet the graph

.

에 대해 정리하면Therefore,

In summary,

에 수직한 직선과

그래프가 만나는 점의

좌표를 통해 표준편차를 구할 수 있다.
to be. Therefore,

With a straight line perpendicular to

The point at which the graph meets

The standard deviation can be obtained from the coordinates.

While the present invention has been described in connection with certain exemplary embodiments, it is to be understood that the scope of the present invention is not limited to the disclosed embodiments, It will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.

The present invention relates to a teaching paradigm, and more particularly, to a method and apparatus for teaching a mathematical curriculum, in which a mean, variance, deviation, and standard deviation that are not easy to understand are visualized through a quadratic equation, This course deals with the teaching paradigm which makes it easier to understand the concept of deviation and thus increases interest in mathematics.

100: main body 105:
110: function part 120: fixed hole
130: elastic member 135: connecting member
140: auxiliary function unit 200: measuring unit
210: body 212:
214: guide groove 220: adjustable bar
222: upper bar 224: lower bar
226: connecting bar 228: latching groove
230: first support member 240: second support member
242: Through hole

Claims (11)

A body on which a function part is formed,
A plurality of measurement portions detachably installed in the function portion of the main body,
Wherein one end portion is connected to each of the measuring portions and the other end portion is composed of a plurality of elastic members connected to each other,
And a connecting point at which the plurality of elastic members are connected to each other to form an equilibrium of forces so that the connecting point forms an average point of the points where the measuring units are installed.
delete The method according to claim 1,
Wherein a coordinate portion is formed on the surface of the main body so that a numerical value is described below so that coordinates of an arbitrary point can be recognized.
The method according to claim 1,
Wherein the function unit is formed so as to correspond to a function of a quadratic equation of Y = X ² .
The method according to claim 1,
Wherein the function part is formed with a fixing hole through which the measurement part is inserted and fixed at regular intervals along the X-axis direction.
The method according to claim 1,
And said elastic members all have the same elastic modulus.
The method according to claim 1,
The measuring unit may include a body having a guide groove formed in an upper portion thereof along a longitudinal direction thereof,
A control bar inserted into the guide groove,
And a first support member for preventing the control bar from coming off.
8. The method of claim 7,
Wherein a second support member is provided at one end of the upper surface of the body to form a through hole into which an elastic member is inserted so that a direction of the measurement unit is directed in a direction in which a force acts.
8. The method of claim 7,
The control bar may include a lower bar inserted into the guide groove, an upper bar positioned above the lower bar, and a connection bar connecting the lower bar and the upper bar,
And an engaging groove is formed at a rear end thereof to engage with an elastic member.
The method according to claim 1,
Wherein an auxiliary function part capable of moving along the Y axis and the X axis is further provided on the upper surface of the main body.
11. The method of claim 10,
Wherein the auxiliary function portion is made of a transparent sheet,
Y = X < ^{2 &} gt ;.

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