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Plastic Pattern Blocks. Pattern Blocks are a set of mathematical manipulatives developed in the 1960s. The six shapes are both a play resource and a tool for learning in mathematics, which serve to develop spatial reasoning skills that are fundamental to the learning of mathematics.
Cuisenaire rods in a staircase arrangement Interlocking "multilink" linking cubes A Polydron icosahedron. In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name.
A stair flight is a run of stairs or steps between landings. A stairwell is a compartment extending vertically through a building in which stairs are placed. A stair hall is the stairs, landings, hallways, or other portions of the public hall through which it is necessary to pass when going from the entrance floor to the other floors of a building.
Staircases converging pointwise to the diagonal of a unit square, but not converging to its length. In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. [1]
The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.
The Singapore government later adapted this approach to their math curriculum in the 1980s. The first of the three steps is concrete, wherein students learn while handling objects such as chips, dice, or paper clips. [5] Students learn to count these objects (e.g., paper clips) by physically lining them up in a row.
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