Fraction Representing Elements Patents (Class 434/196)
  • Patent number: 8790119
    Abstract: In a computer-implemented educational environment, four particular features are provided, which may be used separately or in combination, to drive the instruction of a particular curriculum, e.g. the instruction of fractions. In another implementation, educators and authors may use permutations and combinations of such features to construct in a graphical user interface a progression of interactive elements which help guide a student from visual concepts to procedures, such as equations and formulas. In a particular implementation, by using these features carefully, a curriculum author may design instructional sequences that provide careful, step-by-step sequences that help students progress from understanding the visual concepts, e.g. of fractions, to mastering procedures, e.g. fractions equations.
    Type: Grant
    Filed: December 3, 2010
    Date of Patent: July 29, 2014
    Assignee: Conceptua Math
    Inventors: Arjan Khalsa, Edward Murphy
  • Patent number: 7722356
    Abstract: The invention provides a method and apparatus for operations of addition, subtraction, multiplication, and division of fractions, decimals, percents, proportions and equations. It allows the students to find the transparent area models on their sheets with the correct parts shaded, (2) students can count the total number of parts and the total number of shaded parts in each model, (3) the relationship of the shaded parts to the total number in each model can be named, (4) by intersecting the vertical transparent area model for one whole with horizontal transparent area models for one whole to show examples of one whole being renamed several different ways.
    Type: Grant
    Filed: May 23, 2006
    Date of Patent: May 25, 2010
    Inventor: Dorothy Strong
  • Publication number: 20080145825
    Abstract: In an embodiment, an apparatus includes a first perimeter including a facsimile of a clock, a second perimeter including a plurality of fractions, a third perimeter including a plurality of decimal numbers, a fourth perimeter including a plurality of percentages, and a fifth perimeter including a plurality of degree magnitudes. The apparatus is useful in relating one set of information to another set of information.
    Type: Application
    Filed: December 12, 2007
    Publication date: June 19, 2008
    Inventor: Amy Clark-Wickham
  • Patent number: 6575755
    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.
    Type: Grant
    Filed: December 18, 2000
    Date of Patent: June 10, 2003
    Inventor: Ricardo Dreyfous
  • Publication number: 20020009698
    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.
    Type: Application
    Filed: December 18, 2000
    Publication date: January 24, 2002
    Inventor: Ricardo Dreyfous
  • Patent number: 6293800
    Abstract: An educational and entertainment device includes n layers stackable in a predetermined order one on top of the other to define a tower having n layers. The xth layer, where x varies between 1 and n, is divided into x sections, at least one of the x sections of the xth layer having a passage segment formed therethrough such that with the n layers stacked one on top of the other in the predetermined order, the passage segments of the n layers are in communication with each other to define a passage which extends through the tower. The device also includes an indicator element passable through the passage to confirm that the n layers have been assembled in the predetermined order.
    Type: Grant
    Filed: May 13, 1999
    Date of Patent: September 25, 2001
    Inventor: John Robertson
  • Patent number: 6192594
    Abstract: An educational apparatus used for the teaching of mathematical operations that use fractions. A triangular shaped ruler prism has three different side surfaces that are joined together at three common edges with four different numerical value measuring fractional scales on each side surface and a whole unit scale of which all other scales are a fractional part thereof. All scales have the same length as the whole unit scale. Preferably on each prism side there are two different fractional measuring scales adjacent and aligned with each other in a straight line at one of the common joined prism edges. Fractional scale measuring units that have been used include; the whole unit, half units, thirds, fourths, fifths, sixths, sevenths, eights, ninths, tenths, elevenths and twelfths units. By stated procedures employing marking on a writing surface, fractions may be represented by lengths and added or subtracted from each other as well as mixed numbers with fractions.
    Type: Grant
    Filed: April 14, 1998
    Date of Patent: February 27, 2001
    Assignee: Extra Measures, Inc.
    Inventor: Sally L. Wackowski
  • Patent number: 5679002
    Abstract: An apparatus and a method for playing a math-teaching board game which enables a player student while manipulating game-pieces to gain an understanding of the concept of fractions and arithmetical operations associated therewith. The game is played by 2 to 4 players. The game includes a pyramidical-shaped board having a continuous path of steps, individual game tokens, a die, a plurality of decks of question cards for respective arithmetic operators, fraction boards and a slide box for placement of the fraction boards thereon. In playing the game, the player skillfully moves a selective game token up a number of steps based on the roll of the die. Each step on the board displays an arithmetical operator which determines which deck of question cards is selected. The player uses the fraction boards and the slide board in an attempt to visually determine the answer to a selected question. If the player answers the question correctly, the player remains on the step advanced by the die roll.
    Type: Grant
    Filed: February 28, 1995
    Date of Patent: October 21, 1997
    Inventor: John C. Scelzo
  • Patent number: 5597308
    Abstract: An assembly for teaching mathematical concepts includes a plurality of interlocking components, each having at least one connecting end so that the components can be combined in any order or length. Each component is assigned a mathematical value according to its length, and this value may be indicated by indicia on its face or by color coding. A base is also provided for retaining the columns of components in vertical formations. Means are provided on the platform of the base for engaging the bottom component in each column.
    Type: Grant
    Filed: November 16, 1994
    Date of Patent: January 28, 1997
    Inventors: Richard Woldenberg, Lisa Hoffman
  • Patent number: 5470234
    Abstract: A design for a circular, piece-matching math educational aid is disclosed. It contains a holding plate and various fraction pieces. The circular holding plate has a clockwise spiral bottom, designed in such a way that a sloped cliff is formed at the joint of the starting and ending point. The edge of the cliff is lined up with a guiding mark "0" on a fraction scale marked on an elevated wall on the outer circumference of the holding plate. The fraction pieces contain numerous pie-shaped segments. Any of the segments can precisely depict a fraction, based on the ratio of its center angle to the circle, 360 degrees. The pieces can be made with any center angles, such as 5, 7.5, 10, 30, 45, 60, 90, 180 degrees, etc.
    Type: Grant
    Filed: June 16, 1994
    Date of Patent: November 28, 1995
    Inventor: Louis Y. Sher
  • Patent number: 5192077
    Abstract: A polyhedron with indicia carrying sections, for example a cube. The polyhedron is comprised of a first plurality of first larger sections, e.g. two halves of the cube, and the two larger sections are hinged together along neighboring edges. Their abutting, opposed surfaces, are hidden from view. When the larger sections are opened apart, this exposes indicia, e.g. a fraction, indicative of the portion of the whole polyhedron which each fractional larger sections comprises. Each of the larger sections of the polyhedron, e.g. a cube, are in turn openable apart around hinges to define smaller sections of the larger section. Surfaces of the hinged together smaller sections, which are hidden from view when the smaller sections are assembled, are exposed to view when the smaller sections are opened apart to define still smaller sections. Those indicia are related to the size of the smaller sections and, e.g., recite the fraction of the whole polyhedron which those smaller sections comprise.
    Type: Grant
    Filed: June 26, 1992
    Date of Patent: March 9, 1993
    Assignee: Sylvia Caicedo
    Inventor: Oswald A. Caicedo
  • Patent number: 5076793
    Abstract: A fractal mathematics learning kit includes a plurality of boards each in the shape of an equilateral triangle having defined thereon a pattern of ten smaller equilateral triangles, and a plurality of manipulative elements made of one or more connected equilateral triangles which are attached to the equilateral triangles defined on the boards. A set of tokens thick enough to stand on an edge and comprising combinations of equilateral triangles to represent numbers is also included. Also included in the kit is a mat defining rows and columns of fractal representations of numbers by which various mathematical operations can be understood. A set of nesting pyramids of graduated sizes representing numbers of magnitudes generally corresponding to the sizes is also provided, as are pyramids of different sizes which can be stacked through the use of trays and transparent covers. The kit includes a work book and a user's manual.
    Type: Grant
    Filed: October 6, 1989
    Date of Patent: December 31, 1991
    Inventors: Behrouz B. Aghevli, Shahine B. Aghevli
  • Patent number: 4914019
    Abstract: This invention deals with a multi-purpose learning device for mathematics, language, logic reasoning, and classification of objects.
    Type: Grant
    Filed: February 6, 1989
    Date of Patent: April 3, 1990
    Inventor: Tung Y. Chu
  • Patent number: 4778390
    Abstract: The present invention is directed to a method and apparatus for teaching fractions to school age children. The invention provides an instrument having a base with at least two aligned scales of corresponding numerical indicia subdivided into different fractional units, as for example halves, thirds, quarters, sixths, and eighths. The base defines a space or gap between the different fractional scales so that a writing media, such as a piece of paper, may be inserted between the scales and moved either horizontally or vertically relative to one or more of the scales. The instrument provides an easy manner for a student to compare fractional units of the same integer and also to add and subtract both fractions and mixed numbers. In the preferred embodiment of the invention, the base of the instrument may be transparent so that all fractional scales are visible to the student simultaneously.
    Type: Grant
    Filed: October 1, 1986
    Date of Patent: October 18, 1988
    Inventor: Barbara Marans
  • Patent number: 4730831
    Abstract: A playing board with paths thereon, each made up of a series of squares. Playing pieces are moved along the paths, and at certain locations are instructions for picking up award pieces, which are items making up a sandwich, including bread, ham and cheese, The award pieces are in whole slices, half slices, and quarter slices, for teaching a child. Educational clues are used for beginning the game, including mathematics clues, puzzle indicators, and general information answer indicators.
    Type: Grant
    Filed: March 27, 1986
    Date of Patent: March 15, 1988
    Inventor: Gina De Sio
  • Patent number: 4614042
    Abstract: A measuring and instructional ruler device is provided for use by children and persons having learning impediments or physical handicaps. The device is comprised of a base panel having one inch subdivisions delineated by both visual indicia and tactile features, and a top panel adapted to slide upon the base panel and having a series of tabs whose widths sequentially increase in fractions of an inch. The device is used by aligning the first or zero subdivision with a first of two points between which the distance is to be measured, determining the appropriate subdivision closest to the second point, and adding to such closest subdivision the fractional value of the tab that fills the space between the end of the closest subdivision and the second point of the distance being measured.
    Type: Grant
    Filed: November 22, 1985
    Date of Patent: September 30, 1986
    Inventor: Francis E. Maurer