A device and method of teaching and learning numeral systems comprising at least one game board and a plurality of value block pieces, wherein the game board comprises columns whereby one column is a decimal point column and other columns are each a numeric column to form a numeric grid thereon, and wherein each value block piece identifies the number equivalent value of a numeric symbol derived from the symbol's location on the numeric grid.

A device and method of teaching and learning numeral systems comprising at least one game board and a plurality of value block pieces, wherein the game board comprises columns whereby one column is a decimal point column and other columns are each a numeric column to form a numeric grid thereon, and wherein each value block piece identifies the number equivalent value of a numeric symbol derived from the symbol's location on the numeric grid.

The arithmetic educational tool utilizes a container having a main chamber and two extended chambers from the main chamber to visually demonstrate addition and subtraction. Objects placed with the container will move from the main chamber into the extended chambers to break the number objects in the main chamber into parts. The container is bifurcated, having the two extended chambers branching off of from the main chamber in a bifurcated portion. A count-control wheel having blocking and receiving sections enables a user to control the movement of the objects between the chambers. The count-control wheel may receive an object in the receiving section and then be turned to move the retained object into one of the other chambers. One or more of the chambers may have an obscuring feature, such as a color or slidably cover, that enables obscuring the number of objects therein.

The arithmetic educational tool utilizes a container having a main chamber and two extended chambers from the main chamber to visually demonstrate addition and subtraction. Objects placed with the container will move from the main chamber into the extended chambers to break the number objects in the main chamber into parts. The container is bifurcated, having the two extended chambers branching off of from the main chamber in a bifurcated portion. A count-control wheel having blocking and receiving sections enables a user to control the movement of the objects between the chambers. The count-control wheel may receive an object in the receiving section and then be turned to move the retained object into one of the other chambers. One or more of the chambers may have an obscuring feature, such as a color or slidably cover, that enables obscuring the number of objects therein.

A method of developing a mathematical model of dynamics of a vehicle for use in a computer-controlled simulation, comprising: selecting a coefficient of a state-space model mathematically modelling the dynamics of the vehicle, the selected coefficient having a value for a predetermined state of the vehicle; and varying, a parameter of a physically-based computerized model mathematically modelling the dynamics of the vehicle, the parameter related to at least one of physical characteristics of the vehicle and phenomena influencing the dynamics of the vehicle, to improve the accuracy of the physically-based model via computer-implemented numerical optimization, the computer-implemented numerical optimization targeting the coefficient of the state-space model such that the difference between a value predicted by the physically-based model and the value of the coefficient of the state-space model for the predetermined vehicle state is within a predetermined range.

A method of developing a mathematical model of dynamics of a vehicle for use in a computer-controlled simulation, comprising: selecting a coefficient of a state-space model mathematically modelling the dynamics of the vehicle, the selected coefficient having a value for a predetermined state of the vehicle; and varying, a parameter of a physically-based computerized model mathematically modelling the dynamics of the vehicle, the parameter related to at least one of physical characteristics of the vehicle and phenomena influencing the dynamics of the vehicle, to improve the accuracy of the physically-based model via computer-implemented numerical optimization, the computer-implemented numerical optimization targeting the coefficient of the state-space model such that the difference between a value predicted by the physically-based model and the value of the coefficient of the state-space model for the predetermined vehicle state is within a predetermined range.

An information processing method includes displaying a graph on a display screen of a display, in response to a user operation of specifying at least part of the graph, displaying an icon corresponding to a numerical value which is associated with the at least part of the graph on the display screen, in response to a user operation of selecting the icon, as at least part of a mathematical expression to execute calculation using the numerical value which is associated with the icon selected, displaying the numerical value or a variable indicating the numerical value which is associated with the icon on the display screen.

A device for teaching counting binary numbers (base 2) includes a frame having a plurality grooves with sliders deployed within said grooves. The device bears a plurality of zero indicia, each indicia aligned with one of the grooves. Extending from the slider is a label “1” which overlays the corresponding zero indicia when the slider is moved to a first end of the groove to indicate that its value is operative. Each of the sliders are labelled in binary progression (1, 2, 4, 8, 16, etc.). In use, the device can teach the 0's and 1's representation of a decimal base number by correlating the visible 0's and 1's on the device with the sum of the numbers displayed on the sliders. In addition to decimal numbers, the device may also be used to convert binary numbers into hexadecimal numbers and other base systems, and to convert binary numbers into text.

A device for teaching counting binary numbers (base 2) includes a frame having a plurality grooves with sliders deployed within said grooves. The device bears a plurality of zero indicia, each indicia aligned with one of the grooves. Extending from the slider is a label “1” which overlays the corresponding zero indicia when the slider is moved to a first end of the groove to indicate that its value is operative. Each of the sliders are labelled in binary progression (1, 2, 4, 8, 16, etc.). In use, the device can teach the 0's and 1's representation of a decimal base number by correlating the visible 0's and 1's on the device with the sum of the numbers displayed on the sliders. In addition to decimal numbers, the device may also be used to convert binary numbers into hexadecimal numbers and other base systems, and to convert binary numbers into text.

An instructional system and method for representing and solving algebraic problems. A computer-implemented method of representing and solving mathematical problems comprises providing a graphical user interface for displaying an instructional system. The instructional system comprises a primary cog having a plurality of primary cog teeth and a secondary cog having a plurality of secondary cog teeth. The secondary cog is linked to the primary cog such that a rotation of the secondary cog causes a rotation of the primary cog. The method comprises representing a mathematical problem on the graphical user interface using the instructional system. The method includes receiving an input from a user and rotating the secondary cog based on the input to cause the primary cog to also rotate. The mathematical problem is solved when a particular tooth of the plurality of primary cog teeth reaches a predefined location.