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"Education is the most powerful weapon which you can use to change the world”
– Nelson Mandela

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Unit 4 Report Back

Unit 4 Report Back

Q Directions The Report Back assignment allows you to gather information about concepts that we are discussing during the unit and test them out in the real world! As you report your results, please do not indicate full names. For each unit Report Back: 1. Respond with your answers to this unit's Report Back questions. 2. Ask five adult volunteers this unit's Report Back questions. Using only adult volunteers adds standardization to this activity. 3. Report back on your results. 4. Briefly summarize your observations. Include in your summary, how many of your respondents behaved as predicted. 5. After Thursday, check back and add at least one posting to summarize or to discuss the responses. Report Back This Unit Thinking Forwards or Backwards? The purpose of this activity is to explore whether individuals will engage in thinking forwards or thinking backwards as they solve a logic question. Ask five individuals to answer the Lily Pad question: A man has a pond and he wants to cover it completely with lily pads. He buys a variety that doubles in area each day and will cover his pond in 30 days. Question: On what day will the pond be half covered? There should only be 2 predicted responses (Day 15, Day 29). Day 15 is an incorrect response reasoning by heuristic (divide 30 days in half = 15). Day 29 is the correct response reasoning by thinking backwards (if Day 30 is full, then the day BEFORE - Day 29 - has to be half covered with lily pads). Representing this visually can really help. On Day 28, the pond is a fourth covered in lily pads, Day 27, the pond is an eighth covered....Day 1 - one lily pad. Keep in mind that if a person responds with Day 15, they are thinking forwards through the problem (Day 1 to Day 30) and using a heuristic. This strategy leads to the wrong answer. Ask the person to follow up an incorrect Day 15 answer with the question: "Okay, on what day will the pond be completely covered?" Perhaps that will trigger the thinking of your participant. Hopefully, the participant will respond 'Day 16" AND then realize the wrong answer was given. If a person responds with Day 29, this demonstrates thinking backwards through the problem (Day 30 to Day 1) and have come up with the correct answer and used the right solution strategy. Check out the following article about the 3-item Cognitive Reflection Test - Cognitive Reflection Test Frederick.pdf

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A man has a pond and he wants to cover it completely with lily pads. He buys a variety that doubles in area each day and will cover his pond in 30 days. Question: On what day will the pond be half covered? Male#1: 15 days because Lily doubles in each day and if it takes 30 days, then it should be 15 since it is the half way. Male #2: The exact day he bought the Lily because if 15 would be the answer then this would be easy. Male #3: Day 1, because that is what my brain is telling me to say and I am sure that the answer is not 15.