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Difference between routine and non routine problems
- 1. Kwatog101
- 2. You need to help a villager get a fox, a duck, and a bag of seaweed safely across a river in a boat. The villager may only take one thing at a time in the boat. She cannot leave the fox and the duck together on either side of the river, or the fox will eat the duck. Likewise, she cannot leave the duck alone with the bag of seaweed or the duck will eat the seaweed. How can the villager get everything across the river without anything being eaten?
- 3. First Solution: Draw a diagram Step 1: understanding the problem Across the river in a boat One thing at a time Cannot leave them unattended (fox will eat duck or duck will eat seaweed) Way to carry everything across the river safely
- 4. Step 2: Devise a plan -Draw a diagram Step 3: Carry out the plan Duck Fox Seaweed
- 6. Step 4: Check the Answer 1st: the villager will take the duck across the river 2nd: the villager will take the fox and bring back the duck 3rd: the villager will take the seaweed 4th: the villager will finally take the duck across the river again.
- 7. Many elementary school math problems fit into one of the following categories:
- 8. One-Step Routine Translation Problem This can be solved with a single arithmetic operation. It illustrates common applications of arithmetic and helps reinforce arithmetic skills. Example: There are 6 pencils in the drawer. Evelyn places 9 more pencils in the drawer. How many pencils are now there in total?
- 9. Multi-Step Routine Translation Problem This can be solved with two or more arithmetic steps. It illustrates common applications of arithmetic and reinforces arithmetic skills, but they require higher-level thinking than one-step problems. Example: Janet bought 4 packets of balloon. There were 5 balloons in each packet. She used two packets. How many balloons did she have left?
- 10. Non-Routine Problems This is often solved with some unusual approach or insight. Non-routine problems develop flexible thinking. Example: Jaden had 17 coins. 7 of them were 1peso coins, 2 of them were 5peso coins and the rest were 10peso coins. How much money did Jaden have?
- 11. VS NON- ROUTINE PROBLEM REAL LIFE PROBLEM INVOLVE ONE MATHEMATICAL OPERATION BASIC SKILLS AND SEQUENCE STEPS SOLVING THROUGH STORY TELLING AND RELATE IT TO REAL LIFE SITUATION COMPLEX PROBLEM REQUIRE MORE THAN ONE MATHEMATICAL OPERATION USING CRITICAL AND CREATIVE THINKING SKILLS VARIOUS STRATEGIES AND METHODS TO SOLVE IT
- 12. In general, problems can be categorized as routine or non-routine. Routine problems require direct applications of sets of known or prescribed procedures to solve problems. On the other hand, non-routine problems are more abstract or subjective and require a strategy. solve.