Calculator with stepwise display of linear equations
First Claim
1. An electronic desktop calculator comprising:
- a display;
operation means for carrying out operations to find answers by transforming simultaneous linear equations, including known quantities and unknown quantities step by step in accordance with one of a plurality of methods of solving simultaneous linear equations including an addition and subtraction method, a substitution method and an equivalence methods, and for indicating on said display which of said plurality of methods is currently selected;
process equation storage means for temporarily storing process equations each of which is obtained each time the operation means makes each transformation step by step;
an advance key for entering an instruction to make and to display each of step-wise transformations starting from the equations to reach their answers, thereby providing a step-by-step display of any progress toward a solution;
a return key for entering an instruction to make and display each of step-wise transformations starting from the answers and stepping backward to reach the equations; and
control means, for controlling operations in the operation means, and read-out of the process equations from the process equation storage means, so as to update the contents of said display each time that the advance key or the return key is operated.
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Accused Products
Abstract
An improved educational calculator permits sequential display of equations as transformations are made to solve the equations.
First simultaneous linear equations are entered, and each time an advance key is depressed, process equations, obtained by transforming the equations step by step to reach their answers, are successively displayed on a liquid-crystal display screen. Each time a return key is depressed, the process equations are successively displayed from the answers to the equations in a reverse manner. The problem-solving method is selected through the entry of a solution key among the addition and subtraction method, the substitution method and the equivalence method, which are learned in the junior high school. The sequential display mode of the process equations can be switched between the automatic sequential display and the display on the basis of each entry of the advance key and the return key. Thus, it is possible to learn step by step the respective processes of the problem-solving methods of simultaneous linear equations. Even if there is an error in the answers found by the user, it is possible for the user to confirm at which step of the transformations he has erred, by operating the advance key and the return key. Thus, it becomes possible to provide educational equipment for junior high students that has superior effects of learning.
46 Citations
22 Claims
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1. An electronic desktop calculator comprising:
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a display; operation means for carrying out operations to find answers by transforming simultaneous linear equations, including known quantities and unknown quantities step by step in accordance with one of a plurality of methods of solving simultaneous linear equations including an addition and subtraction method, a substitution method and an equivalence methods, and for indicating on said display which of said plurality of methods is currently selected; process equation storage means for temporarily storing process equations each of which is obtained each time the operation means makes each transformation step by step; an advance key for entering an instruction to make and to display each of step-wise transformations starting from the equations to reach their answers, thereby providing a step-by-step display of any progress toward a solution; a return key for entering an instruction to make and display each of step-wise transformations starting from the answers and stepping backward to reach the equations; and
control means, for controlling operations in the operation means, and read-out of the process equations from the process equation storage means, so as to update the contents of said display each time that the advance key or the return key is operated. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. An operation method for equations comprising the steps of:
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entering desired simultaneous linear equations consisting of known quantities and unknown quantities; operative each time an advance key, used for entering an instruction to make and display each of step-wise transformations starting from the equations to reach their answers, thereby providing a step-by-step display of any progress toward a solution, is operated, forming process equations that indicate processes from the equations to their answers in accordance with one of a plurality of methods of solving simultaneous linear equations including an addition and subtraction method, a substitution method and an equivalence method, as well as displaying which of said plurality of methods is currently selected and displaying the process equations until the answers are found; and operative each time that a return key, used for entering an instruction to make and display each of step-wise transformations starting from the answers to reach the equations, thereby stepping backward, is operated, displaying process equations that indicate processes from the answers to the equations.
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12. An electronic desktop calculator, comprising:
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input means for entering an expression including a plurality of operators; order-specifying keys for specifying an operation sequence to seek a solution for the expression that has been entered through the input means; operation means for carrying out, by step-wise transformations, the operations of the expression in accordance with the expression that has been specified by the order-specifying keys and in accordance with one of a plurality of methods of solving the simultaneous linear equation, including an addition and subtraction method a substitution method and an equivalence method; and display means displaying which one of said plurality of methods is currently selected providing a step-by-step display of any progress toward a solution of said expression, or stepping backward through said step-wise transformations, as commanded by a user via said keys and displaying the result of the operations. - View Dependent Claims (13, 14, 15, 16, 17)
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18. An operation method, which uses four basic calculations, composing the steps of:
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entering an expression including a plurality of operators; selecting the operators one by one so as to specify the operators, selecting one of a plurality of methods of solving simultaneous linear equations, including an addition and subtraction method, a substitution method and an equivalence method and displaying which method is currently selected; and operative each time one of the operators is specified, carrying out a calculation with respect to the operator and displaying step-rise calculations starting from the expression to reach a solution, thereby providing a step-by-step display of any progress toward a solution of said expression.
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19. An operation method, which uses four basic calculations, comprising the steps of:
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entering an expression including a plurality of operators; selecting the operators one by one so as to specify the operators, selecting one of a plurality of methods of solving simultaneous linear equations, including an addition and subtraction method a substitution method and an equivalence method, and displaying which method is currently selected; and operative each time one of the operators is specified, displaying a number with respect to the operator, carrying out step-wise calculations in accordance with the numbers and displaying step-wise calculations starting from the expression to reach a solution, thereby providing a step-by-step display of any progress toward a solution of said expression.
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20. An electronic desktop calculator comprising:
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operation means for carrying out operations to find answers by transforming equations step by step in accordance with one of a plurality of methods of solving simultaneous linear equations including an addition and subtraction method a substitution method and an equivalence method, and for indicating which of said plurality of methods is currently selected; process equation storage means for temporarily storing process equations each of which is obtained each tulle the operation means makes each transformation step by step; numeric-value storage means for temporarily storing respective coefficients while identifying the positions of the coefficients in the process equations or the equations; an advance key for entering an instruction to make and to display each of step-wise transformations starting from the equations to reach their answers, thereby providing a step-by-step display of any progress toward a solution; a return key for entering an instruction to make and display each of step-wise transformations starting from the answers and stepping backward to reach the equations; and control means, for controlling operations in the operation means, and read-out of the process equations from the process equation storage means, so as to update the contents of the display each time that the advance key or the return key is operated; and wherein the control means finds tile conditions under which the equations are transformed in the simplest manner by reference to the contents of storage in the numeric-value storage means, and controls the operations of the operation means, based on the resulting conditions thus found. - View Dependent Claims (21, 22)
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Specification