Little Johnny came home from school one afternoon dragging his backpack like it weighed more than he did. His father noticed the look on his face immediately and asked what was wrong. With a sigh that sounded far too dramatic for a child his age, Johnny admitted he had received an F in arithmetic. His father froze, stunned. Johnny had always been sharp with numbers, faster than most kids in his class. Something didn’t add up, and his father knew it. So he sat Johnny down and asked the obvious question: why?
Johnny explained that the teacher asked, “How much is two times three?” and he proudly answered, “Six.” His father nodded, confused, and said that was correct. Johnny agreed and said that’s exactly what he told the teacher. But then, Johnny continued, the teacher asked another question. This time she said, “How much is three times two?” Johnny shrugged as he recalled the moment, still clearly annoyed by it. He told her the same answer again: six.
At that point, Johnny said the teacher shook her head and marked it wrong. His father’s eyebrows shot up. “That doesn’t make any sense,” he said. “Two times three and three times two are the same thing.” Johnny nodded fiercely, clearly relieved that someone finally understood him. “That’s exactly what I said,” he replied. He told his father he even tried to explain it, but the teacher wouldn’t listen and just kept writing on her paper.
The father felt his frustration rising. He paced the room, muttering about logic and fairness, convinced his son had been wronged. “I’m going to talk to your teacher,” he said firmly. Johnny looked hopeful for the first time that day. He watched his father grab his coat, convinced justice was finally on the way. After all, math was math, and facts didn’t change just because you flipped the numbers around.
Later that evening, the father returned home unusually quiet. Johnny rushed over, eager to hear what happened. “Well?” he asked. His father sighed and rubbed his temples. “Son,” he said slowly, “the teacher explained it very clearly.” Johnny’s face fell. “She said the first question was multiplication,” his father continued, “and the second one… was the same.” Johnny blinked. “So?” he asked.
His father looked at him and said, “She failed you because after that, she asked how much five times four was, and you said ‘twenty,’ but when she asked four times five, you said, ‘What’s the difference?’”
