Abstract: A matrix calculation device includes a first partition position display unit configured to distinguishably display a partition position of the one matrix partitioned by the matrix partitioning unit, a partition position determination unit configured to determine, based on a partition position of the one matrix distinguishably displayed by the first partition position display unit and a definition of a product of matrices, a partition position of the other matrix, and a second partition position display unit configured to distinguishably display the partition position of the other matrix determined by the partition position determination unit.

Abstract: An electronic calculator and a control method thereof are provided. The electronic calculator includes a display module, a key array, and a processing chip. The key array includes a plurality of keys. The keys include at least a turn-on key. The turn-on key has a first hardware configuration and a second hardware configuration. The processing chip detects the triggering of the keys to execute corresponding calculation functions and control image display of the display module. The electronic calculator enters a turned-on state in response to the triggering of the turn-on key. When the turn-on key is triggered, the processing chip controls the electronic calculator to keep or clear an operation information stored before the electronic calculator is turned off according to whether the turn-on key is set to the first hardware configuration or the second hardware configuration.

Abstract: This invention provides a novel affordance to algebra. It combines the immediacy of a manipulative with the power of a computer algebra system. Operations are executed in-place on a mutable expression, by direct manipulation of its terms by the user. Terms, whether simple or complex, can be selected by the user and dragged from one location in the expression to another. The equivalence of the expression is maintained by changes to the moving term and other terms in the expression. A highly interactive interface illuminates to the user the range of potential actions. The beneficiaries of this technology are students, who have a new avenue for exploratory learning and technologists, who have a new tool for symbolic reasoning.

Abstract: A method of teaching basic arithmetical calculations is embodied in a novelty electronic graphic calculating device having a user interface for displaying method steps. The method involves displaying two or more collections of individual icons associated with two or more operands; selecting an arithmetical operation to be performed on the two or more operands; regrouping the individual icons into a collection of individual icons associated with an answer to the operation on the operands; and, displaying the collection of individual icons associated with the answer in sets having a maximum of ten icons each. The method permits visual regrouping and carry-over for teaching and learning mental computation of the four basic arithmetic skills of addition, subtraction, multiplication and division.

Abstract: Embodiments of the invention disclose a virtual manipulative to facilitate math learning. The virtual manipulative comprises a user interface to progressively form one on more columns to hold partial sums or number decompositions to assist a learner in computing a sum.

Abstract: A hand-held calculator programmed to teach mathematics in a manner which emulates traditional step-by-step teacher-student teaching methods and shows the important intermediate steps. Using linked lists, the method allows the use of selected data sets of problems and provides choices of mathematical operations, including transformations which are applicable or can operate on a selected problem. Importantly, the choices available to the student will not always lead to a solution or simplification of the problem. This allows the student to see the effect of an improper choice, as well as a proper choice.

Abstract: A grade list and averaging, hand-held calculator is disclosed for use by teachers and others in quickly determining the numeric grade of a test-exam, or equal parts constituting a ‘whole’ to be analyzed, and the average of past numeric grades. In the determination of the numeric grade of a test-exam, for example, the calculator allows the entry of the total number of problems on the test, and, corresponding to this total number of problems, displays first and additional lists of potential numeric percentage grades correlating to respective first and additional ranges of problems wrong within the original number of problems on a test entered into the calculator. Each of the first and additional lists are displayed simultaneously as multiple numeric grades, one after the other on the display of the calculator. In one embodiment, ten potential grades are viewed simultaneously.

Abstract: An electronic computing device for providing a plurality of possible test grades on a scale of zero to one-hundred to a user includes a case and a computer mounted within the case. The computer includes a keyboard through which the total number of problems presented on a test is manually entered and a processor responsive to the total number of problems entered through the keyboard for generating a plurality of signals corresponding to possible test grades and for generating display signals corresponding to the possible test grades. A display associated with the case displays the possible test grades so that the user is visually informed of possible test grades based upon the total number of problems presented on the test.

Abstract: The present invention discloses the use of a hand-held calculator programmed to teach mathematics in a manner which emulates traditional step-by-step teacher-student teaching methods and shows the important intermediate steps. The method allows the use of selected data sets of problems and provides choices of mathematical operations, including transformations which are applicable or can operate on a selected problem. Importantly, the choices available to the student will not always lead to a solution or simplification of the problem. This allows the student to see the effect of an improper choice, as well as a proper choice.

Abstract: A function f(x) input to an input device is differentiated to provide a derivative f′(x) and the derivative is further differentiated to provide a second derivative f″(x) in accordance with a predetermined program stored in a ROM or memory device. Data of an increase-decrease table for the function f(x) is produced based on positive and negative signs of values of the f′(x) and f″(x) in a given domain, and then stored in RAM. Then, the table is displayed on a display device based on the table data.

Abstract: A graphing calculator (10) having a user interface that assists the user to learn the symbolic aspects of algebra and calculus by helping them analyze the structure of the mathematical objects they are working with, the legal transformations that they can apply to those objects and the results of the transformation. An embodiment of the present invention is a graphing calculator, which allows the user to step through the solution of a computational mathematical problem. Similarly, other embodiments include the same user interface functionality in a software application package that is executed on a graphing calculator or other handheld device.