lecture recording on 24 January 2025 at 08.16.36 AM

Random Number Generation and Student Engagement

  • Random numbers are generated to engage students (numbers 12, 14, and 7 mentioned).

  • Continuous interaction with students to keep them involved.

Class Structure and Upcoming Readings

  • Plans for reading checks on modules 29-33.

  • Reading checks aim to assess comprehension, identify knowledge gaps, and provide practice for the exam.

  • Confirmation of dates for reading checks: Monday for modules 29 and 30, and Wednesday for 31-33.

Changes in AP Testing Format

  • New experimental skills are integrated into the AP test structure.

  • Students should prepare for questions that ask for extraction of information rather than direct identification of terms.

  • Practice tests will reflect these changes, emphasizing comprehension skills.

  • Discussion of the limited access to practice tests and materials for the new AP format (only 75 practice questions currently available).

The Power of Language

  • Discussion on owning language and its implications, particularly in marginalized groups.

  • Example of the LGBTQ community reclaiming the word "queer".

  • Importance of ownership of language to diminish its power as an insult.

  • Discussion includes the complexities and multiple meanings of words in the English language.

Language Complexity and Examples

  • Words can have multiple meanings:

    • "Park": could refer to an outdoor area or the action of parking a vehicle.

    • Discussion on language evolution and slang.

Problem-Solving Activity: Hobbits and Orcs Puzzle

  • The classic problem involving crossing a river with 3 hobbits and 3 orcs without leaving more orcs than hobbits on either bank.

  • Students engage in problem-solving through trial and error, emphasizing group discussion and collaboration.

  • Major focus on identifying the logic and correct sequence of movements to avoid conflict (two orcs eating a hobbit).

Cognitive Biases in Problem Solving

  • The challenges faced during problem-solving are reflective of cognitive biases:

    • Confirmation bias: Tendency to focus on evidence that supports pre-existing beliefs.

    • Belief perseverance: Difficulty changing beliefs even in light of contradictory evidence.

    • Fixation: Sticking to previous problem-solving strategies that may not work in new contexts.

    • Functional fixedness: Tendency to see objects as only serving their traditional functions, limiting creative solutions.

Examples of Mental Set and Creative Problem Solving

  • Use of simple puzzles to show how assumptions hinder finding solutions (e.g., the thumbtack and candle problem).

  • Encouraging thinking outside the box fosters creativity and problem-solving skills among students.

Conclusions and Further Practice

  • Emphasis on using the remaining class time for individual work on definitions and understanding concepts.

  • Importance of persistence in learning and tackling challenges head-on.

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