Mth3004 Lecture 5

  • Misconceptions - believing something to an extent that isn’t completely correct.
    • “An idea or view inconsistent with the scientific understanding because it is based on faulty thinking or understanding”.
    • Similar terms: Alternative conceptions, intuitive ideas, preconceptions, preconceived notions, non-scientific concepts, erroneous beliefs.
    • This impacts the students’ learning through their personal teaching, reinforcement from family/friends, conflict with the teacher, etc.
    • For example, “just because you taught it, doesn’t mean they learned it”, “experience is not always the best teacher”.
    • If a misconception makes sense to students, it’ll be very hard to change: strongly held, differ from experts’ notions, have a strong influence in students’ understanding.
    • Types:
      • Preconceived notions: “popular” conceptions rooted in everyday observations.
      • Non-scientific beliefs: views learned by students from sources other than scientific education, such as religious or mythical teachings.
      • Conceptual misunderstandings: over-generalisation or doesn’t help with other preconceived notions/non-scientific beliefs.
      • Vernacular misconceptions: word-use in everyday life and scientific contexts conflicting.
      • Factual misconceptions: false information at an early age unchallenged into adulthood.
  • Conceptual change - presenting new concepts or theories:
    1. Intelligible: using (bridging) analogies, models, etc.
    2. Plausible: linked to existing knowledge.
    3. Fruitful: be useful in the future.
  • Cognitive conflict by presenting data that does not match their misconception to increase their adaptability to change - just using rote learning will not be substantial.