JP5962802B2 - Mathematical formula learning device and program - Google Patents

Description

  The present invention relates to a mathematical formula learning apparatus and a control program for learning a mathematical formula.

  In general, learning mathematical formulas is important for learning. However, it is difficult to remember all the formulas.

  Conventionally, in a scientific calculator for learning mathematical formulas, when a trigonometric term input by a user is selected, a formula having the left or right side that has the same meaning is searched according to the configuration of the term. An arithmetic processing device is conceivable in which a list is displayed and an arbitrary formula is selected, and the selected formula is substituted into the trigonometric expression and converted and displayed (for example, see Patent Document 1).

JP 2003-141091 A

  In the conventional arithmetic processing device, a formula suitable for conversion of a user-input mathematical formula is automatically searched, so that the most important formula learning is which formula should be applied to the entered mathematical formula. There is a problem that can not be learned.

  The present invention has been made in view of such problems, and provides a mathematical formula learning device and a control program thereof that can effectively learn a formula while freeing from the trouble of memorizing the formula. Objective.

The mathematical formula learning device according to the present invention includes a formula input means for inputting a mathematical formula, a formula display control means for displaying a mathematical formula on a display unit, and designation of either the right side or the left side of the displayed formula. a designation accepting means for accepting, varying one of the sides of the official accepted the designation by modifying the displayed officially be the same as the equation which is the input, and displays the modified the official on the display unit It is characterized by comprising a format display control means.

A program according to the present invention is a program for controlling a computer of a mathematical formula learning device, the computer comprising a mathematical formula input means for inputting mathematical formulas, and a formal display control means for displaying mathematical formulas on a display unit. , A designation accepting unit that accepts designation of either the right side or the left side of the displayed formula, and the displayed formula so that one side of the formula that has accepted the designation is the same as the input formula deformed and is characterized in that the functioning of the modified the official as the deformation type display control means for displaying on the display unit.

  ADVANTAGE OF THE INVENTION According to this invention, the mathematical formula learning apparatus which can learn a formula effectively, and its control program can be provided, releasing the troublesomeness which memorizes a formula.

The front view which shows the external appearance structure of the scientific calculator 10 which concerns on embodiment of the mathematical formula learning apparatus of this invention. FIG. 2 is a block diagram showing a configuration of an electronic circuit of the scientific calculator 10. The flowchart which shows the official application learning process by the said scientific calculator 10. FIG. The flowchart which shows the official application process accompanying the official application learning process of the said scientific calculator 10. FIG. The figure which shows the specific example (the 1) of numerical formula display operation | movement accompanying the official application learning process of the said scientific calculator 10. FIG. The figure which shows the specific example (the 2) of numerical formula display operation | movement accompanying the official application learning process of the said scientific calculator 10. FIG. The figure which shows the specific example of numerical formula display operation | movement accompanying the official application learning process of other embodiment of the said scientific calculator 10. FIG.

  Embodiments of the present invention will be described below with reference to the drawings.

  FIG. 1 is a front view showing an external configuration of a scientific calculator 10 according to an embodiment of a mathematical formula learning apparatus of the present invention.

  The scientific calculator 10 has a small size that allows a user to hold it with one hand and operate with one hand because of its portability. A key input unit 11 and a color display unit 16 are provided on the front side of the main body of the scientific calculator 10. .

  The key input unit 11 includes a number / arithmetic symbol key group 12 for inputting numbers and mathematical expressions and instructing execution of a calculation, a function function key group 13 for inputting various functions, and various operation modes. A mode setting key group 14 for displaying a menu screen or instructing setting of an operation mode, a cursor key 15 for performing a cursor moving operation or a data item selecting operation displayed on the color display unit 16, and the like. Function keys F1 to F6 for selectively designating various functions displayed on the menu along the lower end of the color display unit 16 are provided.

  The numeric / arithmetic symbol key group 12 includes “0” to “9” (numeric) keys, “+”, “−”, “×”, “÷” (arithmetic symbol) keys, “AC” (clear) keys, “ The “EXE” (execute) key 12a and the like are arranged.

  As the function function key group 13, a “log” (logarithmic) key, a “sin” (sign) key, a “cos” (cosine) key, an “ab / c” (fraction) key, and the like are arranged.

  As the mode setting key group 14, a “Menu” key, a “SHIFT” key, an “OPTN” (option) key, and the like are arranged.

  It should be noted that each key arranged in the numeric / arithmetic symbol key group 12 and each key arranged in the function function key group 13 have various characters (symbols) according to the notation of the main body surface above each key, It also functions as a key for entering operators.

  The color display unit 16 includes a dot matrix type color liquid crystal display unit, and a transparent tablet touch panel 16T for detecting a touch position on the screen is provided on the display screen.

  The color display unit 16 in FIG. 1 shows a state in which an official list window WFL is displayed for the trigonometric function expression input by the user on the mathematical expression display screen GN in the mathematical formula learning mode. Each formula displayed as a list in the formula list window WFL is selected by a touch operation on the display screen or a movement of the cursor Cu according to a key operation of the cursor key 15.

  FIG. 2 is a block diagram showing the configuration of the electronic circuit of the scientific calculator 10.

  The scientific calculator 10 includes a processor (CPU) 21.

  The processor (CPU) 21 is a system program stored in the ROM 22 in advance, a calculator control program read into the ROM 22 by the storage medium read / write unit 24 from an external storage medium 23 such as a memory card, or the communication network N such as the Internet. In accordance with a calculator control program downloaded from the Web server (program server) 30 via the communication control unit 25 and read into the ROM 22, various data are stored in the RAM 26 and the operation of each part of the circuit is controlled while being read out.

  The system program and calculator control program stored in advance in the ROM 22 are activated in response to a key input signal from the key input unit 11 and a touch position detection signal from the touch panel 16T.

  Thus, in addition to the ROM 22, the storage medium read / write unit 24, the communication control unit 25, the RAM 26, the key input unit 11, and the touch panel 16T, the processor (CPU) 21 is connected to the color display unit (LCD) 16. Is connected.

  The calculator control program stored in the ROM 22 includes an arithmetic processing program for executing arithmetic processing corresponding to an arbitrary mathematical expression input by the user via the key input unit 11 or the touch panel 16T, and an arithmetic processing program corresponding to the mathematical expression input by the user. Various processing programs 22a such as an official application learning processing program for executing an official learning process and a graph drawing processing program for executing a graph drawing process according to an arbitrary mathematical expression input by the user are stored.

  As the calculator control program, there is also a designated position detection program 22b for detecting a designated position (left side / right side) of the mathematical formula touch-designated on the touch panel 16T with respect to the mathematical formula displayed on the mathematical formula display screen GN. Remembered.

  The ROM 22 further includes an official database 22c that stores various mathematical formulas.

  The RAM 26 includes a display data storage unit 26 a that functions as a frame buffer of the color display unit 16, and a transformation target formula data storage unit that stores user-specified mathematical formulas input on the mathematical formula display screen GN of the color display unit 16. 26b, and a modified formula data storage in which mathematical formulas obtained by converting the mathematical formulas stored in the transformation target formula data storage unit 26b according to the mathematical formula selected from the official database 22c are sequentially updated according to the transformation and stored. The part 26c and the like are secured.

  In the scientific calculator 10 configured as described above, the CPU 21 follows the instructions described in the various processing programs 22a (including the arithmetic processing program, the official application learning processing program, the graph drawing processing program, etc.) and the designated position detection program 22b. By controlling the operation of each part of the circuit and the software and hardware operating in cooperation, the functions described in the following operation description are realized.

  Next, the operation | movement accompanying learning of the mathematical formula using the scientific calculator 10 by the said structure is demonstrated.

  FIG. 3 is a flowchart showing the official application learning process by the scientific calculator 10.

  FIG. 4 is a flowchart showing an official application process accompanying the official application learning process of the scientific calculator 10.

  FIG. 5 is a diagram illustrating a specific example (part 1) of the mathematical expression display operation associated with the official application learning process of the scientific calculator 10.

  When an arbitrary mathematical expression “cosX” is input in response to a user operation of the key input unit 11, the input mathematical expression “cosX” is stored in the transformation target expression data storage unit 26 b and also shown in FIG. As shown, it is displayed on the color display unit 16 as a mathematical expression display screen GN (step S1).

  Here, when an official call is instructed according to a user operation (step S2 (Yes)), the names of the respective trigonometric functions are read from the official database 22c, as shown in FIG. 5B. The formula list window WFL is displayed on the mathematical expression display screen GN in a state where an arbitrary formula name can be selected with the cursor Cu (step S3).

  When a “double angle formula (cos)” to be applied to the input mathematical formula (transformation target formula) “cosX” is selected in accordance with the user operation of the cursor Cu in the formula list window WFL, the formula database 22c. The content [cos2α = 2cos2α-1] of the selected “double angle formula (cos)” is read out from FIG. 5C, and the selected formula display window WF is switched from the formula list window WFL as shown in FIG. Is displayed (step S4).

  In this selected formula display window WF, either one of the left and right sides of the displayed formula [cos2α = 2cos2α-1] is substituted into the inputted formula (deformation target formula) “cosX” and applied. When the left side [cos2α] of the formula is selected by the touch pen P and the transformation target expression “cosX” on the mathematical expression display screen GN is designated as indicated by the arrow Q1 of 5 (d1) (step S5 (Yes)) The process proceeds to the official application process in FIG. 4 (step SA).

  When this formula application process is started, first, whether or not the left side [cos2α] of the formula [cos2α = 2cos2α-1] selected by the touch pen P can be substituted for the entire transformation target expression “cosX”. Is determined on the basis of processing including formula transition such as transition of constants and equal magnification of both sides (step A1), and if it is determined that substitution is possible (step A1 (Yes)), FIG. 5 (e1) As shown in FIG. 4, the expression “cosX = 2cos2 (X / 2) −1” resulting from the substitution process is stored in the modified expression data storage unit 26c and displayed on the expression display screen GN (step A2).

  On the other hand, in the selected formula display window WF, as indicated by an arrow Q2 in FIG. 5 (d2), the right side [2cos2α-1] of the formula is selected with the touch pen P and the transformation target formula “ When “cosX” is designated (step S5 (Yes)), when the process proceeds to the official application process in FIG. 4 (step SA), based on the process including the transformation of constants and the expression transformation such as equal magnification of both sides, It is determined that the right side [2cos2α-1] of the selection formula can be substituted for the entire transformation target expression “cosX” (step A1 (Yes)).

  Then, as shown in FIG. 5 (e2), the expression “cosX = √ ((1 + cos2X) / 2)” resulting from the substitution process is stored in the modified expression data storage unit 26c and the expression It is displayed on the display screen GN (step A2).

  Thereafter, when it is determined that there is no termination instruction according to the user operation (step S6 (No)), the process returns to the process from step S2, and the official list window WFL is displayed again, and the official list is displayed. It is possible to repeatedly execute a formula application process (see FIG. 4) in which another formula is selected from among (Steps S2 to S5 → SA).

  In the flowchart of the official application process shown in FIG. 4, the processing steps A2a and A2b in the range surrounded by the broken line AX will be described later as another embodiment.

  FIG. 6 is a diagram illustrating a specific example (part 2) of the mathematical expression display operation associated with the official application learning process of the scientific calculator 10.

  When an arbitrary mathematical expression “sinX + sinY” is input in response to a user operation of the key input unit 11, the input mathematical expression “sinX + sinY” is stored in the transformation target expression data storage unit 26b, and FIG. As shown to (a), it displays on the color display part 16 as a numerical formula display screen GN (step S1).

  Here, when an official call is instructed according to a user operation (step S2 (Yes)), the official name of the trigonometric function is read from the official database 22c, and as shown in FIG. An official list window WFL is displayed on the mathematical expression display screen GN in a state where an arbitrary official name can be selected by the cursor Cu (step S3).

  When the “sum product formula” to be applied to the input mathematical formula (transformation target formula) “sinX + sinY” is selected according to the user operation of the cursor Cu in the formula list window WFL, the formula database 22c. The content [sin α + sin β = 2sin ((α + β) / 2) cos ((α-β) / 2)] of the selected “sum product formula” is read out from FIG. 6 (c). As shown, the selected official display window WF is switched from the official list window WFL and displayed (step S4).

  In this selection formula display window WF, either one of the left and right sides of the displayed formula [sinα + sinβ = 2sin ((α + β) / 2) cos ((α-β) / 2)] is input. In order to substitute and apply to the mathematical expression (transformation target expression) “sinX + sinY”, the left side [sinα + sinβ] of the formula is selected with the touch pen P as shown by an arrow Q1 in FIG. When the transformation target expression “sinX + sinY” on the mathematical expression display screen GN is designated (step S5 (Yes)), the process proceeds to the official application process in FIG. 4 (step SA).

  Then, the left side [sinα + sinβ] of the formula [sinα + sinβ = 2sin ((α + β) / 2) cos ((α-β) / 2)] selected by the touch pen P is expressed by the transformation target expression “ It is determined whether or not substitution is possible for the whole of “sinX + sinY” based on processing including expression transformation such as transition of constants and equal magnification of both sides (step A1). (Step A1 (Yes)), as shown in FIG. 6 (e1), the expression “sinX + sinY = 2sin ((X + Y) / 2) cos ((XY) / 2) "is stored in the modified formula data storage unit 26c and displayed on the formula display screen GN (step A2).

  On the other hand, in the selected formula display window WF, as indicated by an arrow Q2 in FIG. 6 (d2), the right side of the formula [2sin ((α + β) / 2) cos ((α-β) / 2 is displayed by the touch pen P. )] And the transformation target expression “sinX + sinY” on the mathematical expression display screen GN is designated (step S5 (Yes)), when the process proceeds to the official application process in FIG. 4 (step SA), Based on the processing including the transformation of constants and the expression transformation such as equal magnification of both sides, the right side [2sin ((α + β) / 2) cos ((α-β) / 2)] of the selection formula is It is determined that the entire target expression “sinX + sinY” cannot be substituted (step A1 (No)).

  Then, the right side [2sin ((α + β) / 2) cos ((α-β) / 2)] of the selection formula is a part of the transformation target expression “sinX + sinY” (here, “sinX” Or “sinY”) is determined (step A3).

  Here, the right side [2sin ((α + β) / 2) cos ((α-β) / 2)] of the selection formula is a part of the transformation target expression “sinX + sinY” (here, “sinX” Or “sinY”) (step A3 (No)), for the left side [sinα + sinβ], which is the other side of the selection formula, the transformation target expression “sinX + sinY It is determined that the value can be assigned to "(step A4 (Yes)).

  Then, as shown in FIG. 6 (e2), for the right side [2sin ((α + β) / 2) cos ((α-β) / 2)] of the formula selected by the user, the transformation target expression “sinX The message “Not assignable. Substitution of the left side” is a message that informs that it is not possible to assign to all or part of “+ sinY” and that the left side of the formula [sinα + sinβ] is substitutable. Ma is displayed on the mathematical expression display screen GN (step A5).

  If it is determined in step A4 that the other side not selected by the user of the selection formula cannot be substituted into the transformation target formula (step A4 (No)), the formula An error message is displayed on the display screen GN (step A6).

  Thereafter, when it is determined that there is no termination instruction according to the user operation (step S6 (No)), the process returns to the process from step S2, and the official list window WFL is displayed again, and the official list is displayed. It is possible to repeatedly execute a formula application process (see FIG. 4) in which another formula is selected from among (Steps S2 to S5 → SA).

  Therefore, according to the formula application learning function that accompanies the learning of the mathematical formula using the scientific calculator 10 having the above-described configuration, the user's arbitrary formula “cosX” is input and displayed on the formula display screen GN as a transformation target formula, and the transformation target Mathematical formulas (double angle formula (sin): double angle formula (cos): sum product formula) read from formula database 22c according to the type of expression (trigonometric function) are listed in formula list window WFL In the state, the “double angle formula (cos): [cos2α = 2cos2α-1]” is selected from the formula list window WFL to transform the transformation target expression “cosX”, for example, the left side [cos2α] or the right side [2cos2α -1] is selected with the touch pen P, and the transformation target expression “cosX” is designated. Then, whether the left side [cos2α] of the selected formula (or the right side [2cos2α-1]) can be substituted into the transformation target expression “cosX” is determined by changing the constant or by formula transformation such as equality of both sides. If it is determined based on the processing to be included and it is determined that substitution is possible, the substitution result formula “cosX = 2cos2 (X / 2) -1” (or “cosX = √ ((1 + cos2X) / 2)”) Is displayed.

  Further, according to the formula application learning function of the above configuration, the selected formula (sin α + sin β = 2sin ((α + β) / 2) cos () is applied to the transformation target expression “sinX + sinY” input by the user. The right side [2sin ((α + β) / 2) cos ((α-β) / 2)] of (α-β) / 2)] is determined to be unassignable, and the other left side [sinα + sinβ] is If it is determined that substitution is possible, “sinX + sinY = 2sin ((X + Y) / 2) cos ((XY) / 2)”, substitution of the selected official right side is impossible, and The message “Not allowed to substitute. Substitution of the left side is possible.” Ma is displayed to notify that the left side of the formula can be substituted.

  Therefore, the most important point for formula learning, which formula should be applied to the formula entered by the user is not automatically searched for formula suitable for conversion of the formula entered by the user. It is possible to learn the formula effectively while freeing from the hassle of learning the formula.

(Other embodiments)
FIG. 7 is a diagram showing a specific example of the mathematical expression display operation associated with the official application learning process of another embodiment of the scientific calculator 10.

  When an arbitrary mathematical expression “sinXcosX” is input in response to a user operation of the key input unit 11, the input mathematical expression “sinXcosX” is stored in the transformation target expression data storage unit 26b, and FIG. As shown, it is displayed on the color display unit 16 as a mathematical expression display screen GN (step S1).

  Here, when an official call is instructed according to a user operation (step S2 (Yes)), the official name of the trigonometric function is read from the official database 22c, and as shown in FIG. An official list window WFL is displayed on the mathematical expression display screen GN in a state where an arbitrary official name can be selected by the cursor Cu (step S3).

  When a “double angle formula (sin)” to be applied to the inputted mathematical formula (formation target transformation formula) “sinXcosX” is selected in accordance with the user operation of the cursor Cu in the formula list window WFL, the formula database 22c. The content [sin2α = 2sinαcosα] of the selected “double angle formula (sin)” is read out from the formula list window WFL as the selected formula display window WF as shown in FIG. It is displayed (step S4).

  In this selection formula display window WF, in order to substitute and apply one of the left and right sides of the displayed formula [sin2α = 2sinαcosα] to the inputted formula (transformation target formula) “sinXcosX” (FIG. 7 ( As indicated by the arrow Q1 in d1), the left side [sin2α] of the same formula is selected with the touch pen P, and the selected left side [sin2α] of the selected formula “sinXcosX” on the formula display screen GN is applied. When the possible first half [sinX] is designated (step S5 (Yes)), the process proceeds to the official application process in FIG. 4 (step SA).

  Then, whether or not the left side [sin2α] of the formula [sin2α = 2sinαcosα] selected by the touch pen P can be substituted into the entire transformation target expression “sinXcosX” is a transition of constants, equal magnification of both sides, etc. Judgment is made based on the processing including the transformation of the formula (step A1).

  Here, when it is determined that the selected formula left side [sin2α] cannot be substituted into the entire transformation target expression “sinXcosX” (step A1 (No)), the selected formula It is determined whether or not the left side [sin2α] can be substituted into a specified part (here, “sinX”) of the transformation target expression “sinXcosX” (step A3).

  The expression “sinXcosX = 2sin () as a result of substituting the official left side [sin2α] into the designated part“ sinX ”of the expression to be modified“ sinXcosX ”by the expression modification accompanying the determination process of whether or not substitution is possible in step A3. If X / 2) cos (X / 2) cosX "is derived and is determined to be substitutable (step A3 (Yes)), as shown in FIG. 7 (e1), an expression" sinXcosX " = 2sin (X / 2) cos (X / 2) cosX "is stored in the modified formula data storage unit 26c and displayed on the formula display screen GN (step A2).

  Then, in this other embodiment (step AX), is it possible to substitute not the selected formula left side [sin2α] but the formula right side [2sinαcosα] which is the other side into the transformation target expression “sinXcosX”? If it is determined that the assignment result on the right side of the formula is a simple expression compared with the assignment result on the left side of the selected formula, A determination is made based on the total number (step A2a).

  Specifically, the formula “sinXcosX = (sin2X) / 2” is derived as a result of substituting the formula right side [2sinαcosα] which is not the selected formula left side [sin2α] into the transformation target formula “sinXcosX”. If it is determined that substitution is possible, the total number of terms is 1 in comparison with the formula “sinXcosX = 2sin (X / 2) cos (X / 2) cosX” of the substitution result on the left side of the formula. Since the substitution result on the left side has a larger number of characters, it is determined that the substitution result on the right side of the formula is a simple expression (step A2a (Yes)).

  Then, as shown in FIG. 7 (e1), together with the expression “sinXcosX = 2sin (X / 2) cos (X / 2) cosX” of the substitution result of the selected formula left side [sin2α], the other side, In other words, the message “Notifying that the right side is substituted gives a simpler result” Mb is displayed on the mathematical expression display screen GN (Step A2b). .

  On the other hand, in the selection formula display window WF, as indicated by an arrow Q2 in FIG. 7 (d2), the right side [2sinαcosα] of the formula is selected with the touch pen P and the transformation target formula “sinXcosX” on the formula display screen GN is selected. Is specified (step S5 (Yes)), and when the process shifts to the official application process in FIG. 4 (step SA), the selection is performed based on the process including the expression change such as the transfer of constants and equal magnification of both sides. It is determined that the right side [2sinαcosα] of the formula can be substituted for the entire transformation target expression “sinXcosX” (step A1 (Yes)).

  Then, as shown in FIG. 7 (e2), the expression “sinXcosX = (sin2X) / 2” resulting from the substitution process is stored in the modified expression data storage unit 26c and displayed on the expression display screen GN. (Step A2).

  Thereafter, similarly to the above, it is determined whether or not the formula right side [sin2cosα], which is the other side instead of the currently selected formula right side [2sinαcosα], can be substituted into the transformation target expression “sinXcosX”. When it is determined that substitution is possible, it is determined whether or not the substitution result is a simple expression compared with the substitution result of the selected formula right side (step A2a). Here, the other side The formula “sinXcosX = 2sin (X / 2) cos (X / 2) cosX” for the substitution result of the left side of the formula [sin2α] is “sinXcosX = (sin2X ) / 2 ”is determined to be more complicated (not concise) (step A2a (No)), the message Mb is not displayed (RETURN).

  Therefore, according to the official application learning function of another embodiment of the above configuration, a user-specified mathematical expression “sinXcosX” is input and displayed on the mathematical expression display screen GN as a transformation target formula, and the type of the transformation target formula (trigonometric function) Mathematical formulas read from the official database 22c according to the formula (double angle formula (sin): double angle formula (cos): sum product formula) are listed in the formula list window WFL. In order to transform the transformation target expression “sinXcosX” from WFL, the “double angle formula (sin): [sin2α = 2sinαcosα]” is selected. For example, the left side [sin2α] is selected by the touch pen P, and the transformation target expression “sinXcosX” is selected. "Is specified. Then, whether or not the left side of the selected formula [sin2α] can be substituted for the whole transformation target expression `` sinXcosX '' is determined based on processing including expression transformation such as transition of constants and equal magnification of both sides, If it is determined that substitution is impossible, it is further determined whether or not the left side [sin2α] of the formula can be substituted into a part of the transformation target expression “sinXcosX”. When it is determined that the left side [sin2α] of the formula can be assigned to a part “sinX” of the transformation target expression “sinXcosX”, the expression “sinXcosX = 2sin (X / 2) cos (X / 2 ) cosX "is displayed.

  Further, it is determined that the selected formula left side [sin2α] can be assigned to the transformation target expression “sinXcosX”, and an expression “sinXcosX = 2sin (X / 2) cos (X / 2) cosX” as a result of the substitution is displayed. Even if the expression `` sinXcosX = (sin2X) / 2 '' of the substitution result of the right side [2sinαcosα] which is the other side of the selected formula [sin2α = 2sinαcosα] is simpler, A message for notifying that is displayed, “Substitute the right side to obtain a simpler result.” Mb is displayed.

  Therefore, the most important point for formula learning, which formula should be applied to the formula entered by the user is not automatically searched for formula suitable for conversion of the formula entered by the user. It is possible to learn the formula effectively while freeing from the hassle of learning the formula.

  The operation methods of the scientific calculator 10 described in the above embodiments, that is, the respective methods such as the official application learning process shown in the flowchart of FIG. 3 and the official application process accompanying the official application learning process shown in the flowchart of FIG. As a program that can be executed by a computer, an external storage medium (memory card (ROM card, RAM card, etc.), magnetic disk (floppy disk, hard disk, etc.), optical disk (CD-ROM, DVD, etc.), semiconductor memory, etc. 23) and can be distributed. The computer (21) of the electronic calculator (10) reads the program stored in the external storage medium (23) into the storage device (22), and the operation is controlled by the read program, thereby The formal application learning function accompanying the learning of the mathematical formula described in each embodiment can be realized, and the same processing by the method described above can be executed.

  Further, the program data for realizing the method can be transmitted on the communication network (public line) N in the form of a program code, and the communication device (25) connected to the communication network N The program data can be taken into the computer (21) of the electronic calculator (10) to realize the above-described formula application learning function accompanying the learning of the mathematical formula.

  Note that the present invention is not limited to the above-described embodiments, and various modifications can be made without departing from the scope of the invention at the stage of implementation. Further, each of the embodiments includes inventions at various stages, and various inventions can be extracted by appropriately combining a plurality of disclosed constituent elements. For example, even if some constituent elements are deleted from all the constituent elements shown in each embodiment or some constituent elements are combined in different forms, the problems described in the column of the problem to be solved by the invention If the effects described in the column “Effects of the Invention” can be obtained, a configuration in which these constituent requirements are deleted or combined can be extracted as an invention.

  The invention described in the scope of the claims of the original application is appended below.

[1]
An official storage means for storing the formula;
Formula display control means for controlling the display of the transformation target formula;
Official designation means for accepting designation of the left or right side of the formula stored by the formula storage means;
Formula application means for substituting the left side or right side of the formula that has been designated by the formula designating means into the transformation target formula and updating the display of the transformation target formula; and
A mathematical formula learning device characterized by comprising:

[2]
The official application means is:
If the left side or right side of the formula that has been designated by the formula designating means cannot be directly substituted into the transformation target expression, the formula is transformed with respect to the left side or right side of the formula and then substituted into the transformation target expression, and the display of the transformation target expression Update control,
The mathematical formula learning device according to [1], wherein

[3]
The official application means is:
A first formula applying means for substituting the left side or right side of the formula accepted by the formula designating means into the entire transformation target expression if it can be substituted, and updating the display of the transformation target expression; If the left or right side of the formula that has been designated by the formula designating means is not substitutable for the entire transformation target expression, it is substituted for a part if it can be substituted for the whole and the display of the transformation target expression is updated. A second official application means to
The mathematical formula learning device according to [1] or [2].

[4]
The formula application means includes designated side substitution availability judgment means for judging whether or not the left side or the right side of the formula accepted by the formula designation means can be substituted into the transformation target expression. If it is determined by the means that substitution is possible, the left side or the right side of the formula that accepted the designation is substituted into the transformation target formula, and the display of the transformation target formula is updated and controlled,
Other edge substitution that determines whether or not the other side of the formula that has not been designated by the formula designation means can be substituted into the transformation target expression when it is determined by the specified edge substitution availability judgment means that substitution is not possible Availability determination means;
When it is determined that the other side of the formula that has not received the designation by the other side substitution availability judgment unit can be substituted into the transformation target expression, the other side substitution possible notification unit that notifies the fact,
The mathematical formula learning device according to any one of [1] to [3], further comprising:

[5]
After assigning the left side or right side of the formula that has received the designation by the formula application means to the transformation target formula and updating the display of the transformation target formula, the other side of the formula that has not been designated by the formula designation means Whether or not the transformation target expression that substitutes the other side of the formula that does not accept the specification is more concise than the transformation target formula that substitutes the left side or the right side of the formula that accepts the designation. An assignment expression concise judgment means for judging whether or not,
Substitution formula concise notifying means for notifying that if it is determined that the transformation target formula that substitutes the other side of the formula that does not accept the designation by this formula concise judgment means is more concise,
The mathematical formula learning device according to any one of [1] to [4], further comprising:

[6]
A program for controlling a computer of an electronic computing device,
The computer,
Official storage means to store the formula in memory,
Formula display control means for controlling the display of the transformation target formula on the display unit,
Official designation means for accepting designation according to user operation of the left side or right side of the official stored by the official storage means,
Formula application means for substituting the left side or right side of the formula that has been designated by the formula designation means into the transformation target formula and updating the display of the transformation target formula,
Program to function as.

DESCRIPTION OF SYMBOLS 10 ... Scientific calculator 11 ... Key input part 12 ... Number and operation symbol key group 13 ... Function function key group 14 ... Mode setting key group 15 ... Cursor key 16 ... Color display part 16T ... Touch panel 21 ... Processor (CPU)
22… ROM
22a ... Various processing programs 22b ... Designated position detection program 22c ... Official database 23 ... External storage medium 24 ... Storage medium read / write unit 25 ... Communication control unit 26
26a ... Display data storage unit 26b ... Deformation target type data storage unit 26c ... Deformation type data storage unit 30 ... Web server GN ... Formula display screen WFL ... Formula list window WF ... Selection formula display window P ... Touch pen

Claims (4)

Formula input means for inputting a formula,
Formula display control means for displaying a mathematical formula on the display unit,
Designation accepting means for accepting designation of either the right side or the left side of the displayed formula;
Modifying the formula for one of the sides of the official accepted the specification is the display to be the same as equation which is the input, and a modified type display control means for displaying the modified the official on the display unit Mathematical formula learning device equipped. The display unit includes a touch panel,
2. The mathematical formula learning apparatus according to claim 1, wherein the designation receiving unit receives a touch operation by the touch panel. The official display control means, in response to Rukoto official calls from the input of formula trigonometric function is indicated by the formula input means, according to claim 1 or 2, characterized in that displaying the official trigonometric Mathematical formula learning device described in 1. A program for controlling a computer of a mathematical formula learning device,
The computer,
Formula input means for inputting a formula,
Formula display control means for displaying a mathematical formula on the display unit,
Designation accepting means for accepting designation of either the right side or the left side of the displayed formula;
Modified expression display control means for one side of the official accepted the designation by modifying the displayed officially be the same as the equation which is the input, and displays the modified the official on the display unit,
Program to function as.

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