Fig. 1
From: Making sense of movement in embodied design for mathematics learning
The Mathematical Imagery Trainer for Proportion: schematic activity sequence. The system is here set at a 1:2 ratio, so that the favorable sensory feedback (a green background) is activated only when the right hand is twice as high along the monitor as the left hand. This figure sketches out our Grade 4–6 study participants’ paradigmatic interaction sequence toward discovering an effective operatory scheme: (a) while exploring, the student first positions the hands incorrectly (red feedback); (b) stumbles upon a correct position (green); (c) raises hands maintaining a fixed interval between them (red); and (d) corrects position (green). Compare b and d, the two green configurations, to note the different intervals between the cursors