Abstract: An educational device for counting and mathematics. The educational device includes a frame that includes a first end, a second end, and a releasable connection point configured to attach to an additional frame. The educational device further includes a first group adjacent to the first end and including a bead. The educational device further includes a second group adjacent to the second end and including a second bead. The educational device can further include a divider located between the first and the second end. The divider can separate the first group from the second group.

Abstract: Provided is a numerical value input apparatus that includes: an operation input unit that expresses numerical values of a plurality of digits by providing a plurality of numerical value setting operation units for each digit; with each of the plurality of numerical value setting operation units being biased to a side that is an initial state; and also includes a signal generation unit that, in a case in which an input confirmation key provided separately from the numerical value setting operation units is operated, confirms a numerical value that reflects the state of the numerical value setting operation units for each digit when the input confirmation key is operated, and converts the numerical value into an electric signal.

Abstract: A perpetual month display calendar, consisting of three components: a month/day display loop, a date display loop, and a back cover, configured independently and assembled together to display a full month's information. The desired month is selected by vertically shifting the month/day display loop pieces and positioning the piece of the corresponding month on the top front section. The layout of the dates is selected by horizontally shifting the date display loop pieces, which then embrace the month/day display loop. The back cover is attached to enhance the appeal and functionality of the back of the calendar. The calendar does not comprise small loose individual pieces, allowing its manipulation with no concern of possibly losing one of them.

Abstract: A counting element is dimensioned for sliding engagement along an outside surface of an elongated rod of an educational apparatus. The counting element includes an element body extending between first and second end surfaces. The element body includes an outer wall a plurality of inner walls disposed radially inward of the outer wall. The inner walls are operatively connected to the outer wall adjacent the first end surface and extend to a free end disposed toward the second end surface. The inner walls define a passage dimensioned to receive the elongated rod. The free ends of the inner wall portions are radially deflectable and function as biasing elements operative to generate frictional resistance to sliding movement of the counting element along the outside surface of the elongated rod. An educational apparatus includes a frame, a plurality of elongated rods and a plurality of counting elements. Methods are also included.

Abstract: A computer-based abacus training system is provided. The system can include a simulated abacus display, means for outputting problems to be solved by a user, means for accepting input from the user, and means for checking the user's solution. Display can be of a simulated abacus, simulated hand movements, or both. Conversion between text-form and abacus-form representations can be included.

Abstract: A math manipulative for assisting students with rounding skills includes a number line has ends attached to each of two slides. Windows on the ends of the number line highlight a starting number (on the left hand of the number line) and an ending number (on the right hand of the number line), where the starting and ending numbers straddle the number to be rounded. The math manipulative provides the student with a visual representation of the number to be rounded, allowing the student to choose the starting or ending number to perform the rounding task and solve the rounding problem.

Abstract: The use of colored beads with an augmented simple abacus, adds an addition or expansion to the previous augmentations described in my previous patent which has the title: Augmented Simple Abacus With an Underlying Grid of Numbers or a Blank Sheet. And this invention has been given Publication No. US-2012-0028229-A1, and a Publication Date of: Feb. 1, 2012. This addition of colored beads to an augmented simple abacus is very helpful to the user in understanding or gaining insight into the relationships of numbers under 100. And the use of colored beads is very helpful to users of these types of abacuses in learning to: count, add, subtract, and learn the multiplication tables. And colored beads are also helpful in gaining an understanding of the “factors” in many numbers, and also in understanding the common factors in many numbers.

Abstract: A multielement linear array for teaching a person to count comprises a first set of four linearly arranged elements of first and second types A and B, arranged in a first pattern A-B-A-B. In the description herein, the term “linear” is intended to be construed to mean that the elements are arranged sequentially, and therefore are topologically linear, not that the device itself must assume a linear form. A third element C is positioned to follow the first set. A second set of four linearly arranged elements of the first and the second types A and B are arranged in a second pattern B-A-B-A, and are positioned to follow the third element. A fourth element D is positioned to follow the second set. Preferably the elements A, B, C, and D are mutually distinguishable, for example, by at least one of color and shape.

Abstract: This invention is designed to help students learn to: count, add, subtract, multiply, divide, and learn the multiplication tables, by the use of a rope attached to a narrow board, where this rope contains a variable number of beads of the same size, that can be shifted back and forth. This innovation also uses a printed number sequence that is located parallel to, but above or below the rope and beads that are located on this narrow board. And this rope is permanently attached to a wooden block on the left side of the wood strip. And all beads that are pushed against this left side block are “counters”. And the other beads on this rope are “non-counters”. And when beads become “counters”, the number that appears above each bead gives its number, in a left to right sequence. And the number that appears above each “counter” bead gives the student use visual feedback to help that student learn the math processes noted above.

Abstract: The device disclosed in the present application is a compact and convenient mathematical manipulative that can be used to assist students who have varied modalities or learning styles (auditory, visual, tactile, vocal). The device essentially comprises two parallel, co-planar U-shaped “storage” and “operational” rods, with one prong of each U-shape connected to a support handle, and the remaining prong of each rod joined to each other via a short-segmented undulated horizontal segment. Each “operational” rod supports an even-numbered quantity of through-drilled beads which may be slidably positioned along the lengths of the storage and operational rods. The beads may be of a first color on one pair of rods and a second color on the opposite pair of rods and further, each rod is designated as either a negative (?) or (+) calculator.

Abstract: This invention is about adding additional parts (augmentations) to a simple abacus to enhance its effectiveness when used by beginning learners in: learning to count numbers from one to one hundred; to learn addition and subtraction; and to later learn other math processes. And these (augmentations) are of four main types: 1.) blank sheets to be written on by the student, parent or teacher; 2.) larger blank sheets to hide unneeded rows of beads and unneeded numbers. 3.) printed grids of numbers where these numbers are in a are sequence of numbers from #1 to # 100, where these numbers are divided Into ten segments that correspond to ten rows of beads; and where each printed number appears above a bead in the counting area; and 4.) a second type of printed grid of numbers that are the “products” of a multiplier and a multiplicand (which are ten or under in value.

Abstract: A string math manipulative system and method is provided including series of a particular number of holed objects threaded on strings. The holed objects comprise one or more variations in color and/or shape and/or material, with the variations configured to represent math facts. For example, to illustrate the number family summing to 5, three strings would be included in the set; one string having all holed objects of a first variation representing 5+0=5 or 0+5=5, one string having one holed object of the first variation and four holed objects of a second variation representing 4+1=5 or 1+4=5, and one string having two holed objects of the first variation and three holed objects of the second variation representing 4+1=5 or 1+4=5.

Abstract: An apparatus and method for teaching involving teaching manipulatives. The teaching manipulative comprises a longitudinal rod having a plurality of multi-faced objects disposed upon its surface which are capable of substantially sliding along the length of the rod and have a unique object identifier disposed on each face. On either end of the rod is a stop member having a row identifier substantially in alignment with the unique identifiers on the faces of the multi-faced object.

Abstract: An open rectangular prism with rotating cubes on dowel rods, two 12-sided dice, and three 20-sided dice invented with an accompanying method of use to function as a game to assist students in remembering the basic math facts including addition, subtraction, multiplication, and division.

Abstract: A multipurpose abacus is disclosed. The multipurpose abacus of the present invention includes an abacus frame, which is closed at the bottom thereof and has upper, lower, left and right frame walls (10), (30), (20), (40). Support rod insertion holes (11) and (31) are respectively formed in the upper and lower frame walls. Partition bar insertion parts (21) and (41) are respectively provided on the right and left frame walls. Supports (51) are provided on the bottom plate (50) at positions corresponding to the partition bar insertion parts. The multipurpose abacus further includes a plurality of support rods (80), which are inserted into the support rod insertion holes of the upper and lower frame walls, a plurality of beads (90), which are fitted over each support rod, and at least one partition bar (60), which is removably inserted into the partition bar insertion parts of the left and right frame walls.

Abstract: A method for a swimmer swimming laps in a swimming pool to record the number of laps swum employs a swim lap counter having a pair of floatable end blocks and a series of parallel rods extending between the floatable end blocks. Each rod carries a series of apertured beads movable from being adjacent to one of the floatable end blocks to being adjacent to the other floatable end block. Each bead and each row of beads represents laps swum by the swimmer. The swim lap counter is placed at one end of the swimming pool. The swimmer moves the beads from being adjacent to one of the floatable end blocks to being adjacent to the other floatable end block to record the number of laps swum by the swimmer.

Abstract: An educational tool including a frame having a rod extending between its opposite sides. A number of beads are slidably positioned on the rod. A reckoning bar is slidably secured to the top of the frame. The reckoning bar bears indicia, for counting the beads, in the form of a series of whole numbers that increase from one side of the frame to the other. Another reckoning bar is slidably secured to the bottom of the frame and bears indicia, for counting the beads, in the form of a series of whole numbers that increase in a direction opposite that provided to the indicia on the first reckoning bar. A slide is slidably secured to the top of the frame for selectively covering the indicia on the first reckoning bar. A second slide is slidably secured to the bottom of the frame for selectively covering the indicia on the second reckoning bar.

Abstract: The calculation training tool comprises: a substrate; a plurality of bead-shaped members mounted movably on the substrate; and scales displayed on the substrate surface together with numerals for giving answers when an addition and a subtraction are made by moving the bead-shaped members. The training system uses learning papers prepared for learning numeral composing and decomposing methods, together with the calculation training tool.

Abstract: An electronic abacus calculator comprising an electronic abacus display screen in combination with a numeric display and an electronic keyboard calculator. The invention also comprises a personal abacus, which comprises a mechanical abacus or an electronic abacus calculator or both in a suitable carrying case, which is designed to open and make the abacus available for use in the case.

Abstract: A teaching aid comprises a frame (1), a plurality of elongate rods (2) mounted horizontally in the frame and spaced vertically from each other and a plurality of polyhedral blocks (3) rotatably mounted on each rod. Means are provided to releasably hold each block (3) in at least three discrete rotary positions on its respective rod (2).

Abstract: A teaching aid comprises a frame (1), a plurality of elongate rods (2) mounted horizontally in the frame and spaced vertically from each other and a plurality of polyhedral blocks (3) rotatably mounted on each rod. Means are provided to releasably hold each block (3) in at least three discrete rotary positions on its respective rod (2).

Abstract: A bracelet for counting calories is formed by a plurality of counting beads each having an aperture there through. A monofilament line is threaded in a looping manner through the aperture of each counting bead such that the line overlaps itself within the aperture. Using this configuration and a freespace along the line, the counting beads may be selectively slid along the length of the line and retained in position, permitting the wearer to keep track of daily calorie intake by the movement and placement of the beads. A plurality of summing beads are also included and these are strung one per every five counting beads. This way, the counting beads are assigned an associative value of 100 calories per bead and are subdivided into groups of 500 calories by inter-positioned summing beads.

Abstract: An educational device (11) for visually modeling words or numerals. The device including a plurality of inverted U-shaped rods (15) and a plurality of balls (17), each ball (17) being movable between a non display position and a display position. When the device is used to represent a word, the number of rods (15) having a ball in the display position corresponds to the number of phonemes in the word and the number of balls (17) or a respective rod (15) represents the number of letters in a respective phoneme. When the device visually represents a number, each rod having a ball in the display position represents a unit from which the number is formed, and the number of balls in a respective display position can represent the relative size of a respective unit.

Abstract: An arrangement for abacus-like calculation comprises a basic element comprising a first region with an array of first cells forming the first region, wherein each first cell represents a visual marking as to an assignment of each first cell, a second region with an array of second cells forming the second region, wherein each second cell represents a visual marking as to an assignment of each second cell, at least one first indicator unit accessed to the first region, wherein the relative arrangement between the first indicator unit and the first region is changeable in order to indicate a selected first cell of the array of first cells, and at least one second indicator unit accessed to the second region, wherein the relative arrangement between the second indicator unit and the second region is changeable in order to indicate a selected second cell of the array of second cells, wherein the visually marked assignment is marked on the basic element or on the indicator unit.

Abstract: An educational tool including a rigid frame supporting a pair of parallel rods. A number of beads of equal width are slidably positioned on one of the rods. A reckoning slide is slidably and rotatably positioned on the other of the rods for counting the beads. The reckoning slide has a front side and a rear side, either of which may be selectively brought into view by rotating the reckoning slide. The front side has printed indicia in the form of a first whole number sequence increasing from left-to-right and the rear side has printed indicia in the form of a second whole number sequence increasing from right-to-left.

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: A device and method for demonstrating number theory is disclosed in which the device comprises a frame consisting of the plurality of spaced parallel rods which are secured at their ends to transverse members. The rods carry slidable members which are arranged to define an triangle having the same number members on each side. The rods are spaced apart and the members are sized so that sliding movement of one bead will contact a bead located in the next adjacent rod and cause it to also slide. A member representing an ordinal number is selected and is moved along the rod to contact members adjacent to the selected member in the direction of movement to separate a sub-array of members from said equilateral triangle array. The selection of additional ordinal members contact with adjacent members is repeated so that depending upon the mathematical operation being demonstrated.

Abstract: A new mathematical graph board for teaching linear equations and linear inequalities. The inventive device includes a board having an outer peripheral edge. The board includes a pair of peg boards secured within the outer peripheral edge. The pair of peg boards have a plurality of apertures therethrough. One of the peg boards has a four quadrant system disposed thereon. A plurality of graphing lines couple with the peg boards of the board. Each of the graphing lines is defined by a pair of pegs dimensioned for being received within the apertures of the peg boards. The pair of pegs have an elastic band extending therebetween. The elastic band varies a length of the graphing lines.

Abstract: A new toy attachment for child's playpen for attaching to a playpen to provide entertainment for a child. The inventive device includes a pair of side rails securable to an upper end of the opposed side walls of the playpen. Forward and rearward sections each have a pair of horizontal narrow rods secured therein. The narrow rods each have a plurality of beads and blocks slidably disposed thereon. A back rail extends between the back bars of the pair of side rails. The back rail is securable to an upper end of the rear wall of the playpen.

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 portable and foldable teaching aid combines an abacus and an inclined writing surface. The abacus helps teach math skills and the inclined writing surface helps strengthen hand and wrist muscles that are used in writing. The abacus and writing board are positioned in physical proximity to one another to encourage children to write down math problems on the writing board, to solve them on the abacus, and to write down the answer on the writing board. The writing board may be of the dry erase type, the chalkboard type, or any other suitable, erasable writing surface. It may also be magnetized to hold letters, shapes, and the like. The writing board is releasably attached to support rods so that it can be separated from them when the device is folded for storage. When folded, it can be carried separately or placed into a child's backpack.

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: A calorie counting device comprising a card with a plurality of bands surrounding the card, a plurality of beads movably attached to each of the bands, means for determining a correct number of beads representing a given portion of food, and a method of using the device by moving the representative number of beads relative to the plurality of beads on the band, repeating the determination and movement of representative beads relative to each portion of each type food eaten during a given time period, and returning the beads on each of the bands to the original position at the end of the time period in order to begin again the method of calorie counting during a new time period.

Abstract: A device is disclosed for enabling tracking of the duration and type of effect in fantasy board games of various types. The device also keeps track of any character affected by the events taking place in fantasy board games. The device is formed of two or more towers, each resting vertically on a base, that can be weighted for stability. Each tower has one removable flag in the top. For example, one flag can be green, signifying "active", and the other, red, signifying "inactive". Any two towers are connected to each other by a plurality of horizontal crossbars, for example, sixteen such crossbars. Each of these crossbars supports a plurality of mobile beads, for example, thirty. One crossbar is in the lower most position and supports a plurality of mobile disks, for example 60.

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: An educational device having a chamber with a plurality of holes extending through the chamber. A plurality of ropes are selectively configured in the chamber and portions of the ropes are exposed outside the chamber. The ends of the exposed ropes are connected to knobs that allow a user to pull on a selected rope end thereby causing a movement of another rope end through another hole. The device encourages and permits a mental determination of the configuration of ropes within the chamber.

Abstract: An educational toy useable to teach elementary mathematics to children includes a spaced series of mutually aligned parallel rods secured in a side-by-side relationship at their opposite ends to a base portion of the toy. Series of counting beads are captively and slidably mounted on all but two of the rods for movement between their opposite end portions. The remaining two rods, each of which has at least one counting bead rod on each of its opposite sides, slidably carry two operational sign beads having convex polygonal cross-sections. Different equation operation sign indicia are suitably positioned on the flat exterior side surfaces of the sign beads such that they can be rotated about their rods to display selected operational signs to the user of the toy.

Abstract: A behavioral calendar structure is arranged to include a support plate mounting an upper housing and lower housing thereto. The upper housing includes a first"W" shaped loop to accommodate one counting sphere for each day per week. A second inverted "U" shaped loop mounted to the second housing includes second spheres to accommodate four more spheres to indicate a corresponding number of misbehaviors of a number of days per week. A total of four more displacements of the second spheres effects the displacement in a week of one of a third sphere of a third loop to indicate a single week's behavior. Misbehavior of three or more such spheres effects displacement of the "W" shaped spheres to indicate in a calendar year the number of months of misbehavioral activity.

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: An arithmetic counter that includes a U-shaped support structure for a horizontal rod. Consecutively numbered beads are slidably arranged on the rod for adjustment to positions wherein selected numbers of the beads are separated from the remaining beads. One or more marker boards are adopted to be hung from the rod between the separated beads and the remaining beads, such that a small child can count the beads and achieve and better understand "addition" and "subtraction" processes.

Abstract: An aid for teaching children addition and subtraction of two numbers according to an algebraic equation. Cards bearing selected integers and one card bearing a plus or minus sign are placed by the teacher on a panel in horizontally aligned spaces corresponding to the terms of the equation but for one space. The student is then challenged to hang a card displaying the appropriate integer or sign in the vacant space. Rings slidable on a horizontal rod are positionable in the spaces in quantities corresponding to the integers thereat for visual reinforcement of the equation.

Abstract: This abacus is an accurate instrument that is capable of performing complex arithmetic functions in the hexadecimal number system. Primarily, it consists of a frame having a multiple number of rods extending through a cross bar member, and eight beads are provided below the cross bar and three beads are provided above the cross bar. The value of the beads above the bar is eight and the value of the beads below the bar is one.

Abstract: An abacus for performing calculations by sliding counters along partition walls extending vertically. Each counter has a spherical or beadlike head protruding above the body of the abacus, as well as a stem. Shafts extend horizontally through the partition walls and also through the stems of the counters. A hole is formed in each stem of the counters and horizontally extends partially through the stem. A compressed spring is mounted in each hole, and a small ball is attached to the front end of the spring. The side surface of each counter which is not in contact with the ball is pressed against the opposed partition wall by the action of the spring. Thus, the counters are maintained at their present positions even in a moving vehicle.

Abstract: An instructional toy device for multiplication computation formed by a string of cuboid blocks having an interconnecting elastic string permitting equal segments of multiple blocks to be folded in a back and forth arrangement of aligned rows, the blocks each being individually marked with a number progressing in an ordinary arithmetic series of increasing units from an end block marked 1 to an end block marked with the number of the total blocks in the string, a multiplication computation being represented by a selected number equalling the number of blocks in a segment and a multiple equalling the number of rows, the product of which is the numerical marking of the last block in the segment of the last row.

Abstract: An educational teaching device which is formed in the shape of the hand or the foot of a human. In one embodiment of the invention, the educational device comprises a frame in the shape of a human hand having a palm, a thumb and four fingers, the frame having a first groove in the palm, a second groove in the thumb, and a third, fourth, fifth and sixth groove in the first finger, second finger, third finger and fourth finger respectively, the grooves containing one or more beads that can be manipulated to perform, and teach the student, various arithmetic operations. In another embodiment of the invention, the frame is in the shape of a human foot with a similar arrangement of grooves therein.

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.