Nature of Thinking
What are the two types of thinking?
Convergent and Divergent Thinking
What is the definition of metacognition?
The process of thinking about your own thinking
True or False. A true statement is something that corresponds to reality or facts.
True
Trudi buys her lunch everyday at school by swiping her student id badge. On the way to the cafeteria, she noticed that she lost her student id badge. How would you define the problem?
Trudi is unable to purchase lunch without her school id badge. She will have to find another way to pay for lunch.
Natalia's sister always ignores her when her sister is with her friends. What is the size of the problem?
What is the definition of divergent thinking?
Divergent thinking is when our brains come up with as many ideas or solutions as possible.
Which is a metacognitive question that you should ask yourself before you read a text:
What do I notice? What do I already know?
True or False. A false statement is accurate and can be proven to be correct.
False
Katrina packed her lunch in a brown paper bag to have for lunch at the playground. After she finished playing, she went to open her lunch and noticed that ants and flies are in her lunch bag. How would you define the problem?
Katrina is not able to eat her lunch because ants and flies are in her food.
Marlin and his family wakes up in the middle of the night because they smell smoke. When they look around, they see smoke coming from under their door. What is the size of the problem?
Medium
What is 40/5? The Answer is 8. Is this an example of Divergent Thinking of Convergent Thinking?
Convergent Thinking
We use metacognition to do 3 things; plan, evaluate, and what?
Monitor
True or False. High uncertainty is when we are unsure about the truthfulness of the statement.
True
River is new to the school and recently joined the football team. He is very excited to play in this week’s game for the first time but right before kickoff, he cannot find his cleats. How would you define the problem?
River may not be able to play in the game without his cleats. He will need to find some other shoes quickly.
Define effective solution.
An effective solution is a solution that solves the whole problem instead of just part of the problem.
When our brains use information to make the best decision or find the right answer, is this Divergent Thinking or Convergent Thinking?
Convergent Thinking
Is the following scenario an example of a metacognition (yes or no)? Throughout Sarah's study session, she doesn't pause to reflect on her progress. She is unsure if she understands the material or if she needs to review specific sections.
No
What degree of uncertainty is the following statement: There are 28 days in February.
Low Uncertainty
Residents in your community have noticed increased air pollution from factories, litter in public spaces, and contamination of local water sources. You have also noticed that you are coughing and sneezing more frequently than usual. How would you define the problem?
The pollution and air quality in your community is polluted and can be unsafe for residents to breathe.
Which of the problem solving steps does the following statement represent: The best solution is to call an Uber because my car battery is dead and I need to get to work for an important meeting.
Choose the Best Solution
The team prioritizes quantity over quality at the beginning. They aim to generate as many ideas as possible. This encourages a wide range of possibilities. What kind of thinking is this?
Divergent Thinking
Alex begins by setting clear goals for his study session. He recognized that this exam covers complex topics, so he plans to allocate more time to it than usual. He also set specific objectives, such as understanding key theorems and solving practice problems effectively. Is this an example of metacognition?
Yes
What degree of uncertainty is the following statement: My teacher will wear the color blue tomorrow.
High Uncertainty
Renee loves to play at the neighborhood park with her cousins but your her parents have not allowed her to go lately. There have been reports of broken equipment, litter, and some incidents of vandalism in the park. How would you define the problem?
The park is unsafe with broken equipment and vandalism. The park equipment and grounds need to be cleaned and maintained before Renee can play safely at the park.
What is the definition of the following problem solving step: Think of possible consequences.
What will happen in each possible solution?