Abstract: A double-sided, front-to-back aligned tactile learning aid is provided, which includes a substantially planar carrier medium with a protruding front tactile graphic aligned with and symmetrical to a protruding back tactile graphic. The carrier medium may be one, two, or more sheets of paper, plastic, or other generally planar material. The front graphic and the back graphic protrude from the front and back, respectively, of the carrier medium. At least a portion of the back tactile graphic is aligned with at least a portion of the front tactile graphic. The double-sided, front-to-back aligned tactile learning aid is clearly expressive of (and/or representational of) a physical structure, yet is embodied in a generally two-dimensional planar construction, so is easier to store. The double-sided, front-to-back aligned tactile learning aid may be used as a semi-concrete or demi-concrete aid for sighted and visually-impaired students.

Abstract: A double-sided, front-to-back aligned tactile learning aid is provided, which includes a substantially planar carrier medium with a protruding front tactile graphic aligned with and symmetrical to a protruding back tactile graphic. The carrier medium may be one, two, or more sheets of paper, plastic, or other generally planar material. The front graphic and the back graphic protrude from the front and back, respectively, of the carrier medium. At least a portion of the back tactile graphic is aligned with at least a portion of the front tactile graphic. The double-sided, front-to-back aligned tactile learning aid is clearly expressive of (and/or representational of) a physical structure, yet is embodied in a generally two-dimensional planar construction, so is easier to store. The double-sided, front-to-back aligned tactile learning aid may be used as a semi-concrete or demi-concrete aid for sighted and visually-impaired students.

Abstract: A double-sided, front-to-back aligned tactile learning aid is provided, which includes a substantially planar carrier medium with a protruding front tactile graphic aligned with a protruding back tactile graphic. The carrier medium may be one, two, or more sheets of standard paper, thicker Braille-type paper, a polymer material, or other generally planar material. The front graphic and the back graphic protrude from the front and back, respectively, of the carrier medium. At least a portion of the back tactile graphic is aligned with at least a portion of the front tactile graphic. The double-sided, front-to-back aligned tactile learning aid is clearly expressive of (and/or representational of) a physical structure, yet is embodied in a generally two-dimensional planar construction, so is easier to store. The double-sided, front-to-back aligned tactile learning aid may be used as a semi-concrete aid for sighted and visually-impaired students.

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.