I tried solving the problem by drawing pictures. First, I drew 4 stickmen to represent 4 people. Then I realized there were 2 dishes of rice for the 4 people and 1 dish of meat for the 4 people. However, I couldn't find the exact number of dishes of meat for 3 people. Hence, I realized that I needed to find a common denominator. The common denominator of 2,3,4 is 12 people. Hence, I knew that there were 6 dishes of rice for 12 people; 4 dishes of broth for 12 people; and 3 dishes of meat for 12 people. Thus, I found a ratio. For every 12 people, there were 13 dishes in total. Hence, I was able to find that there were 65 dishes for every 60 people.
Through this problem, I realized the importance of offering examples from diverse cultures. Although I was tempted to solve this problem algebraically, I first tried drawing a picture to help me visualize and understand the problem. Hence, I was able to develop my logical thinking and it helped me understand why I had to find the common denominator. Algebraically, I would be solving (n/2)+(n/3)+(n/4)=65. But, I would end up solving the problem and not thinking in depth about why the equation is set up in that particular way.
Yes, I believe that word problem and imagery matter because it helps students visualize the problem. Visualizing the problem helps the students understand the situation and gives them motivation to start the problem even when it is challenging. Also, it helps them recognize patterns and concepts that are not easily shown through numbers and words.
Hi Esther, thank you for the cute and engaging picture you drew. I could read the image and see how the dishes were distributed! I appreciate the idea of choosing to visualize and draw a picture before jumping into an algebraic solution, which demonstrates a thoughtful and comprehensive approach. It's not just about arriving at the correct answer but understanding the reasoning behind it.
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