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Four corners is a collaborative method of teaching and learning that gives the students a platform for various cognitive and affective learnings. This strategy helps the students to think at a higher level, reflect on what they have learned in class, voice opinions safely, learn to critique on various issues, evaluate certain solutions, and communicate better.
To begin, four corners (or general areas) of the room are marked from the numbers one to four. One player is designated to be "It," or the "counter." This player sits in the middle of the room and closes their eyes, or exits the room, and counts to ten. The remaining players choose any one of the corners and quietly go and stand in that area.
The corners of a sheet of paper are folded up to meet the opposite sides and (if the paper is not already square) the top is cut off, making a square sheet with diagonal creases. [1] The four corners of the square are folded into the center, forming a shape known in origami terminology as a blintz base or cushion fold. [2]
The American high-school geometry curriculum was eventually codified in 1912 and developed a distinctive American style of geometric demonstration for such courses, known as "two-column" proofs. [49] This remains largely true today, with Geometry as a proof-based high-school math class.
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The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
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