Abstract: 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.

Abstract: 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 when the container is tilted and thereby 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 and thereby causes a random splitting of the number of objects into each of the extended chamber. Conversely, objects placed in each of the extended chambers can be added when the chamber is tilted to cause the object to move from the extended chambers into the main chamber. 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.

Abstract: A set of teaching methods and system for implementing such teaching methods is disclosed for helping a music student learn how become more familiar with a keyboard and music in general. A set of drills and exercises are presented which will increase a student's musical ability far faster than can be achieved by traditional teaching methods. In addition, a set of humorous characters Moreover, a system is presented which will allow implementation of these exercises.

Abstract: 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 when the container is tilted and thereby 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 and thereby causes a random splitting of the number of objects into each of the extended chamber. Conversely, objects placed in each of the extended chambers can be added when the chamber is tilted to cause the object to move from the extended chambers into the main chamber. 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.

Abstract: The present invention includes a phonetic alphabet with clarifiers and modifiers that aid in the teaching of reading skills to individuals with dyslexia, dyscalculia, and other neurological impairments when the present invention letters are connected horizontally in series with clarifiers and modifiers to form a word, a phrase, a sentence, and/or a paragraph. The present invention further includes mathematical symbols for teaching math skills to individuals with dyslexia, dyscalculia, and other neurological impairments when predetermined geometric shapes are arranged to form numbers of a base 10 counting system that are capable for using in additional, subtraction, multiplication, division. The present invention of mathematical symbols includes whole numbers, real numbers, integers, fractions, and decimals. The present invention also includes 2D and 3D tools and methods of using same.

Abstract: A toy educational bowling game for toddlers with a toy bowling ball, a plurality of toy bowling pins which are marked with a separate and individual number in numerical order starting with the number one and a pin set up guide whereupon there are a plurality of markings for the placement of the pins and each of the markings has a separate and individual number arranged in numerical order starting with the number one and in the similar numerical alignment as when conventional bowling pins are lined up for the beginning of play of conventional bowling whereby a toddler can learn numbers and counting by matching the numbered pins to the numbered markings in numerical order on the pin set up guide. Variations include various further features including indentations, matching colors, shapes, letters, with the locations being in front of the markings and with audio and lighting systems.

Abstract: Didactic tools for learning mathematics contain a set of jigsaws, inserters, abacuses, three-dimensional arrangeable and separable models, mental maps, arranging pads, Multiplication tables without numbers, cylinders, and other spatially situated mathematical sizes and open the possibility of many combinations for arranging and displaying mathematical contents. These contents range from mathematical basis (relations, numbers and spaces, shapes and quantities) to theorems and rules of higher mathematical levels (multiplication, division, squaring, cubing, Pitagora's and binomial theorem, sum of square sequences and other regularities, some of which are new and unknown). With their inner consistency and coherence, they enable numerous combinations and research, and every tools can function independently in a clear and unambiguous way, based on natural mental abilities of logics and perception, close even to the earliest pre-school age.

Abstract: A method includes the steps of providing at least one whole number displayed in a discrete area and at least one factor from 1 to 10 for each at least one whole number. Each at least one factor is displayed in the discrete area occupied by the at least one whole number. Each factor from 1 to 10 is positioned in a unique horizontal and a unique vertical position relative to the other factors from 1 to 10 in the discrete area of the at least one whole number. Each factor from 1 to 10 is assigned with a unique indicia distinguishing that factor from each other factor from 1 to 10 that is not the same factor. The method can be used to teach skip counting, multiplication, division, multiples, fractions, factorization, and the like.

Abstract: Apparatus for educational use, comprising a plurality of pieces and a regular array of indicia. The pieces are dimensioned and arranged, and the indicia are arrayed, to allow a plurality of the pieces to be juxtaposed adjacent to the indicia, covering a plurality of the indicia, such that each piece covers a single indicium or an integral number of indicia and each indicium covered by a piece is visible through that piece.

Abstract: An apparatus for teaching mathematical concepts is set forth. The apparatus includes a display. A code for at least one ones number is selected from the group consisting of Arabic numerals 0,1,2,3,4,5,6,7,8,9. At least one non-numeric shape for at least one tens number is selected from sets of numbers, the sets of numbers consisting of 10-19, 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, 80-89, and 90-99. The code and the at least one non-numeric shape are presented in association with one another on the display to form a numerical identity. The numerical identity has a value determined by the code and the at least one non-numeric shape.

Abstract: Hundreds board device comprising a first member having thereon a series of consecutive natural numbers arranged in a ten by ten number array consecutively numbered from one through one hundred; a second member superimposed on the first member and including an array of windows registering with the numbers such that each of the windows has one of the numbers displayed therethrough; a first array of first colored transparent window slider covers horizontally slideably engaged relative to the first and second members for individually opening and closing each of the windows and a second array of second colored transparent window slider covers vertically slideably engaged relative to the first and second members for individually opening and closing each of the windows such that only one of the two colored transparent window slider covers is used at any one time to close any one window for teaching basic mathematical calculations and concepts.

Abstract: A multiplication game consisting of a perforated game board in which the assemblage of perforations forms a rectangular matrix. In a horizontal row of numerals printed on the rim of the board the numerals increase evenly in value from one end to the other end, and below each numeral is disposed a column of perforations. A column of numerals is printed on the edge of the board such that the numerals increase evenly in value from one end to the other end. A set of chips is provided, the total number of which equals to the product of the largest value in the column multiplied by the largest value in the horizontal row, and each chip is insertable in a cut-out window of the board. Each chip has one numeric value inscribed on its upper face, such that for each multiplication of any number in the row with any number of the column there is found a matching numeral on a chip.

Abstract: The method uses vehicles as mascots for different subject areas. Each vehicle is named after a subject area and is decorated. The vehicles serve as a means to generate enthusiasm for the subject areas. Each car has its own color combination corresponding to a given subject. Each subject area has an instructor that is knowledgeable in that subject. The instructors wear clothing colored to match the color of the vehicle named after the subject area that he/she teaches. The instructors teach the pre-planned lessons on a topic in a subject. area. The pre-planned lessons also incorporate supporting information from other subject areas to the topics. The instructors drive the vehicles to sites of instruction where students are located to perform a pre-planned lesson on a topic. The sites of instruction have or utilize concepts that will be used in the pre-planned lesson. In the presentation of the lesson, an instructor uses teaching materials colored to match the color of the vehicle that he/she drives.

Abstract: A kit containing an Instructor unit sized for presentation to a group and multiple Child training units both set up to allow students to visually model and relate addition, subtraction, multiplication, and division in primary mathematics. The manipulative units include a plurality of colored cubes arranged in slots so that the movement of particular cubes from one side of the slots to the other side represents numbers in a mathematical operation. Tally trays of five slots may be removed from the device and hold up to 10 cubes to demonstrate regrouping operations on a mat.

Abstract: A multiplication game teaches and enforces basic multiplication tables for players, while providing an enjoyable and competitive activity for the players. The game includes a game board having a rectilinear matrix of playing positions thereon, with at least one peripheral row and one peripheral column including a series of multiplier and multiplicand numbers therealong. A distinct group of playing pieces or tiles is provided to each player. Each group includes a series of numbers comprising the products of the multipliers and multiplicands of the peripheral row(s) and column(s) of the board on the first sides thereof, with the opposite sides remaining blank. The tiles are placed with numbered faces down, and drawn randomly in turn by the players who place the tiles face up on an appropriate position on the board as defined by the multiplier and multiplicand row(s) and column(s).

Abstract: A kit containing an Instructor unit sized for presentation to a group and multiple Child training units both set up to allow students to visually model and relate addition, subtraction, multiplication, and division in prinmry mathematics.

Abstract: A mathematical teaching aid includes a plurality of sectional pieces representing fractions of a circle. The pieces are preferably colored corresponding to respective fractions, wherein fraction pieces having a prime number denominator are of primary colors, and other section pieces are of secondary colors. The colors are assigned to the pieces such that primary number denominator sectional pieces of primary colors can be overlaid to form a secondary color, with the sectional piece of that secondary color being representative of a common denominator. The sectional pieces can be combined with a base unit and used for teaching multiplication, division, addition and subtraction of fractions.

Abstract: A concrete manipulative for teaching the properties of odd and even numbers. The manipulative includes an elongated channel having end walls at each end, and a plurality of rods that fit at least partially within the channel. The rods are in two sets of different lengths, with each length being represented by more than one rod. Rods of even length are visually and/or tactilely distinguishable as a set from rods of odd length. The elongated channel displays markings at precise intervals, with the spacing between markings generally being twice the length of the shortest rod. Through a variety of activities involving placement and manipulation of various combinations of the rods within the channel, students are able to identify properties of odd and even numbers.

Abstract: An educational and recreational apparatus and method having a background grid defining a matrix having a plurality of individual cells, and a plurality of elements each having a first surface, with indicia disposed thereon, said elements being removably disposable on said grid. Each arrangement of said elements disposed on said grid define a magic square, so that each row, column, or diagonal of the magic square is characterized by a defined relationship in accordance with the indicia. A method of manipulating said elements, said method having at least one computer, display device, calculation means, input device and data storage device. The method including displaying a grid defining a matrix on said display device, arranging said elements on said grid using said input device for selecting and inserting said elements therein, manipulating said elements on said grid using said input device and forming a magic square on said matrix by arranging said elements.

Abstract: A method of playing a game of numbers and colors. In this game method, a new higher level of player strategy is introduced by way of players privately possessing numbered and colored objects for the duration of the game, in contrast to existing mathematical or color game methods based on utilizing sets of cards or objects viewed by all players. The present invention includes a new method of simultaneously combining mathematical operations performed on both numbers and colors. The method of the game of numbers and colors is based on utilizing the mathematical operations of multiplication, division, addition, or subtraction of numbers, and is also based on application of linear combinations of at least two colors to produce another different color. Emphasis is on mathematical manipulation of prime and non-prime numbers. Colors used in the method of the game are not limited to any finite number.

Abstract: A math playing and training system is disclosed. The system comprises two sets of playing pieces, each having a pair of numbers on both sides. The first set has ten pairs of numbers with each pair having a number on the back one number less than that on the front. Besides one pair of symbols of "+" and "-", the second set has 9 pairs of numbers with each having two numbers equal to a sum of 10. For these 9 pairs of tiles there is a symbol of "-" on the front and "+" on the back. A turnover of two tiles at the same time gives players a direct result for addition or subtraction, and a better understanding of regrouping and pair concepts. The system employs the playing pieces and the pair concepts for playing and training in a vertical math operations specially in the fields of addition and subtraction. The system helps math beginners to master basic concepts of addition and subtraction and to reach the stage of mental arithmetic through entertaining playing and systematic training.

Abstract: A method and apparatus of teaching mathematical problem solving includes using a series of containers, each consisting of an inherent problem requiring the use of mathematical skills for solution. The series of containers meets all conditions for the teaching of mathematics as recommended by the National Council of Teachers of Mathematics in their 1989 document "The Standards". The complete solution satisfying "The Standards" for each container ordinarily takes a period of days. A kit consisting of such containers is disclosed.

Abstract: A self-corrective, reversible device comprising a handled, slotted framework, on each side of which the top frame is imprinted with inverse mathematical symbols, below which is a number line from one through ten in ascending and descending order. Below the number line, nine channeled horizontal rows each contain ten grooved, colored, movable, workpieces. The first four rows on side "A" teach counting, addition, subtraction and place value. These workpieces have the following values: Row one, "1" each; Row two, "1" each; Row three, "10" each and Row four, "100" each. Workpieces in each row are the same color, but each row is a different color. Corresponding with these four rows in both value and color are four boxes imprinted on an erasable surface contained within the framework. The remaining five rows on side "A" teach large and small letters of the alphabet, phonics and consonant blends.

Abstract: A game for enhancing mathematical skills is played in the a classroom with teams of players or individual players. In accordance with one embodiment, the game utilizes a branched lattice having a central starting point and a plurality of terminal points. The lattice is placed on the floor of a classroom. In playing the game, students select three numbers from a location on the classroom wall and factor those three numbers to find the prime factors of the numbers, which prime factors are then recorded in input/output tables. The tables have an output line or column in which the output value "-1" is written if the number of factors is odd; the output value "0" is written if the output value includes repeated primes, indicating raising a prime to a power; and the output value "+1" is written if the number of prime factors is even. The output values are used to locate the input/output tables, which are on slips of paper, at correct terminal points of the lattice.

Abstract: An educational toy which includes a base board having lines of female mounting portions longitudinally disposed at the first, third, fifth, and six lines and a line of signs of multiplication longitudinally disposed at the second line and a line of sings of equality at the fourth line, a set of setting blocks, each setting block having a male mounting portion at the bottom for fitting into engagement with one female mounting portion of the base board, and a set of number blocks, each number block having a female mounting portion at the bottom for fitting into engagement with one particular setting block, the number blocks including a blank number block having a blank top, and a set of numerical blocks respectively marked with one of the numerical signs from 0 to 9 at the top.

Abstract: An apparatus and method for teaching mathematical expressions includes a plurality of four-sided members that represent the variables of factors of a mathematical expression. Each four-sided member has a different area representing a different variable in the mathematical expression. The apparatus enables a math student to visualize the rules that apply to mathematical expressions. The four-sided members include a first side having a first color and a second side having a second color, different from the first color, wherein the first side represents a positive number, and the second side represents a negative number. The four-sided members can be used for teaching by illustration simple multiplication and division, multiplication, division and factorization of polynomials, linear equations including inequations and absolute value, and systems of linear equations.

Abstract: A method and system for uniquely identifying indicia of traits of a participant in an event adapted for use in a boxing match. A plurality of predetermined characteristic corresponding to the traits of a participant to be identified is assigned. Each predetermined characteristic has a predefined format. The assigned characteristic is stored and displayed in a plurality of predefined display format allowing for identification of traits so as to facilitate interpretation and prediction of trends.

Abstract: A system for teaching the basic concepts of mathematics utilizing a ball or the like having situated thereon certain mathematical problems and solutions, each such problem having framed thereabout certain colored geometric symbols, the symbols indicating certain commonalities in the problem. The ball of the present invention is to be utilized in organized or unorganized play, and is configured in such a manner as to relay to the user certain basic themes associated with mathematics, including (but not limited to) addition, subtraction, multiplication, and division. The preferred embodiment of the present invention teaches a generally spherical ball having multiple diverse geometric configurations, each like configuration having a common mathematical type of problem thereon, as well as a common color. In the preferred embodiment, the configurations could be situated randomly across the surface of the ball, or could be arranged along the longitudinal and/or latitudinal axis of the ball.

Abstract: A learning board preferably utilized for teaching both mathematics and non-mathematical subjects. The learning board comprising a playing surface with multiple receiving areas, a plurality of board pieces, a plurality of solution lists, and a plurality of indicia on the learning surface, the board pieces, and the solution lists. The plurality of indicia including question, answer, verification, number, solution, and indicator means. The learning board including a means for almost instantaneously verifying correct answers while substantially disorganizing the board pieces with respect to the subsequent exercise through the correct solution of an exercise.

Abstract: A game for enhancing mathematical skills is played in the a classroom with teams of players or individual players. The game utilizes a branched lattice having a central starting point and a plurality of terminal points. The lattice is placed on the floor of a classroom. In playing the game, students select three numbers from a location on the classroom wall and factor those three numbers to find the prime factors of the numbers, which prime factors are then recorded in input/output tables. The tables have an output line or column in which the output value "-1" is written if the number of factors is odd; the output value "0" is written if the output value includes repeated primes, indicating raising a prime to a power; and the output value "+1" is written if the number of prime factors is even. The output values are used to locate the input/output tables, which are on slips of paper, at correct terminal points of the lattice.

Abstract: A teaching aid for teaching young children counting in the tens numbering systems, in which four side by side stacks of nine blocks are each slidable on respective rods held in a frame, each of the nine blocks having one face of each block in the stack imprinted in order with a cardinal number, the blocks in the second, third, and fourth stacks also marked respectively with one, two, and three zeros to the left of the cardinal number appearing thereon. Each of the cardinal numbers on the blocks in each stack are in distinct colors, the zeros color matched to the color of the cardinal number of the corresponding place on the adjacent stack. The blocks in each stack are progressively sized wider to the left in proportion to the number of number and zero digits imprinted thereon.

Abstract: The elastic pattern abacus relates to educational counting devices for learning basic number and arithmetic concepts. The present invention introduces a new flexible medium for threading and holding counters (beads or blocks of any shapes) in a sequence, such that: they slide easily, yet are automatically held stably at any desired positions along the sequence. The members of the abacus can be separated, counted, grouped, divided, and regrouped to demonstrate arithmetic concepts and number systems. A tool for changing the arrangement of the abacus beads is also disclosed.

Abstract: An early age abacus type teaching device comprising a rod having movable counters thereon with corresponding sequentially spaced numerals therealong whereby the numerals are utilized to represent the calculation of the preceding manipulated counters and the rod is equipped at each end thereof with a device to support and hold the same upon a horizontally or vertically disposed surface.

Abstract: A set of game cards includes a plurality of first cards respectively indicating each number from 1 to 9, and a plurality of second cards each indicating a figure generated by multiplying together figures, respectively indicated on arbitrary first cards. Thus, the game cards help players learn multiplication tables when they are used.

Abstract: A mathematical teaching aid or game comprising a background grid having components and subcomponents each positioned within individual cells of the grid so that many mathematical arrangements and concepts can be displayed. Each component has a face color from a set of colors and contains on its face the outline of a geometric shape from a set of geometric shapes. Each component represents a unique pairing of color and shape outline. Each subcomponent has a shape congruent to the shape outline from the set of shapes and matches exactly one component with respect to color and shape outline. The components are mounted upon the grid cells and the subcomponents can be mounted upon either a grid cell or upon a corresponding shape outline.

Abstract: An educational aid and educational method for teaching pattern recognition and numerical skills to young children. The aid includes plural groups of game pieces each incorporating a different number of game pieces, the game pieces in different groups bearing different indicia such as different colors. The child matches the game pieces to matching target areas in a series of matching operations requiring progressively higher levels of abstract reasoning, ranging from simple color matching to matching the number of pieces to a numeral. The matching target areas may be defined on a substrate and on a series of auxiliary matching targets, each associated with one group of game pieces. The game pieces may be attached to the auxiliary matching targets and the resulting assemblies may then be matched to matching target areas on the substrate.

Abstract: An arithmetic teaching device consisting of a rod having hand movable spaced collars slidable thereon and having sequentially spaced numbers therealong corresponding to the collars whereby the numbers indicate visually the arithmetic calculation of preceeding manipulated numbers.

Abstract: The invention comprises three-dimensional characters, i.e., letters and/or numerals, which have discretely colored indicia thereon to distinguish left-hand and right-hand sides of the characters, so that a student of writing and/or reading will know how to position each character to dispose the same in a correct orientation. In this, one colored indicia must always be at the left-hand side, and the other colored indicia must always be at the right-hand side. Included is a color-coded guide in which, slidably, to set the characters; the coloring of the guide complements the left- and right-hand colored indicia of the characters.

Abstract: A mathematical game apparatus includes a game board having a plurality of concentric circles providing paths or playing paths divided into a plurality of sections, each section being provided with indicia (numerals) therein for the purpose of having the players learn and/or improve their ability to count from 1 to 125 by multiple units in addition to increasing their acuity in utilizing prime numbers and factors; perfect squares and cubes; and exponential powers of 10.

Abstract: An educational toy for use in teaching a child the concepts of geometrical shapes, color, numbers, and sets of numbers. The toy includes a small can for storing the clips, and a large can for storing the small can, and a cover for the large can. The clip has a front board, a rear board, and an effortless spring-biased hinge. The front boards have a series of numbers, and the rear boards have a series of colored shapes, one number and one colored shape per clip. The small can has a series of panels and the large can has a series of panels, each series extending in a peripheral direction on the surface thereof. The panels on the small can have a gradually increasing number of figures; and the panels on the large can have a gradually increasing number of colored shapes. The child matches the numbers or shapes, or colors, in at leasst three different games to the panels of the small can, or the large can, by clipping each clip to a matching panel.

Abstract: A flash card type of teaching system includes problem cards that are divided into sets by color coding. A key card that is in view of the student(s) contains answer information that is also color coded to assist the student(s) in choosing the correct response to a particular problem.

Abstract: A teaching aid for increasing the memorization of a large number of equations comprising a front cover having a vertical column of horizontally disposed completed equations visible thereon and which front cover forms a cut out portion adjacent the vertical column and a writing sheet which is removable and positionable under the cut out portion of said front cover for providing a replaceable writing area accessible through said cut out portion.

Abstract: An electronic instructional apparatus is provided wherein the operator engages in exercises in spelling, arithmetic and associational exercises by responding, in part, to audible prompts provided by the apparatus in the form of requests and/or questions to which the operator must respond. The requests and/or questions are based upon digital data stored within the memory representative of numbers, letters of the alphabet, colors and physical objects, such as commonly recognized animals. The operator responds to the requests and/or questions by inserting answer blocks into input cavities provided in the apparatus housing. Each answer block has disposed thereon a plurality of display faces bearing indicia representative of potential responses to the presented statements and/or questions. Each display face has corresponding input surfaces which cooperate with detection elements to input into said apparatus the response selected by the operator.

Abstract: An improved interconnecting toy which, through its various uses, provides various educational experiences to the user and which comprises a game piece (1) with joined tubular members comprised of connective ends; and which comprises a game piece (2) with joined tubular member comprised of connective ends. The connective ends may be of the male or female type (7 and 6 respectively). The tubular members may be circumferentially configured in any geometric shape, and may consist of any variety of colors; and the tubular members may be imprinted or decalled with numeric, alphabetic, or logo-type designations, all of which enhance the educational experience that results from use of the invention.

Abstract: A metric block toy comprising ten blocks of varying colors, each block being a one tenth of a meter cube, and having indicia designating ten centimeter increments along one edge of each block, together with other legends designating the length of the edge invarying metric terms. The blocks, when placed in aligned relation, indicate the total length of one meter.

Abstract: An educational device useful for teaching numbers, addition, subtraction, reading, and logic comprising a flat playing surface having rows of equally dimensioned boxes, ascending numerical indicia associated with the boxes in each horizontal row, blocks of varying dimensions having numbers thereon proportional to their relative horizontal dimensions and being adapted to fit in each row in such a way that the number appearing to the right of the block or block will indicate how may boxes are covered by the block or blocks in that row. In a preferred embodiment there is also provided a set of card containing a numbered card corresponding to each numbered block.

Abstract: A teaching apparatus for Mathematics, specifically algebraic concepts for very young children, enables 3rd and 4th grade level students to solve simple linear algebraic equations. The apparatus includes easily manipulated elements which serve as cognitive reinforcement during the learning process. These physical elements are used in conjunction with a set of rules or "legal moves". The apparatus and corresponding legal moves determine a physical model and physical process to represent both an algebraic linear equation and its algebraic solution. A simple physical element, such as a pawn, is used to denote the unknown quantity. Numbered cubes are used to represent numerical values. These elements are color coded to represent both positive and negative values of the quantities represented. By the use of this apparatus and associated legal moves, students learn to simplify a given linear algebraic equation to the point where the solution or value of the unknown quantity is intuitively obvious.

Abstract: Disclosed is a doll which is useful as a child's plaything, useful for teaching the child to count from 1 through 10, useful for teaching the child to identify colors, and useful to familiarize the child with various wearing apparel fasteners. The doll includes at least 10 groups of distinctive features with each group being made up of a predetermined number of similar features, the predetermined number being one of the numbers from 1 to 10, so that each number from 1 to 10 is represented by at least one such group. The doll further includes a number of distinctly colored areas and a number of different wearing apparel fasteners.

Abstract: A teaching wheel challenges a student to find the correct answer to arithmetic and other problems. The teaching wheel comprises a problem disk and an answer disk mounted concentrically for rotation on a frame. The problem disk is mounted above the frame, and the answer disk is mounted under the frame. The problem disk has a smaller diameter than the answer disk and frame. The problem disk is divided into a number of sectors, with a problem radiating outwardly in each sector. The answer disk has sectors containing the answers to the problems near the periphery of the disk. The frame is notched to reveal one answer on the answer disk. The problem disk is rotated so a selected problem sector is aligned with the frame notch, and the answer disk is rotated until the correct answer appears in the notch adjacent the problem sector. The problems may consist of counting, arithmetic equations, time equivalents, and money equivalents.

Abstract: An arithmetic teaching device consisting of a rod having hand movable spaced collars slidable thereon and having sequentially spaced numbers therealong corresponding to the collars whereby the numbers indicate visually the arithmetic calculation of preceeding manipulated numbers.