มนุษย์ไม่ใช่สัตว์ที่มีเหตุผล แต่เราเป็นสัตว์ที่ชอบหาเหตุผลมาสนับสนุนต่างหาก
เมื่อคุณเข้าใจความจริงง่ายๆข้อนี้ พฤติกรรมประหลาดๆของ มนุษย์ก็จะมีเหตุผลขึ้นมาทันที“ (บิลลี มาร์คัส)
The art of spending money , morgan housel
summary:
FOUR-STEP METHOD
- Understand the problem by identifying what is unknown, what is given, and what conditions exist
- Devise a plan by looking for patterns, drawing analogies, or breaking problems into smaller parts
- Carry out the plan systematically while checking each step for correctness
- Look back to examine the solution, verify it works, and consider alternative approaches
HEURISTIC TECHNIQUES
- Use analogy to find similar problems you've solved before and apply those patterns
- Work backwards from the desired solution to find a path forward
- Decompose complex problems into simpler, more manageable sub-problems
- Generalize or specialize the problem to make it more accessible
- Draw diagrams and use visual aids to clarify abstract concepts
QUESTIONING STRATEGIES
- Ask "What am I trying to find?" to clarify the unknown elements
- Ask "What data do I have?" to inventory available information
- Ask "Have I seen this before?" to draw on past experience
- Ask "Can I solve a related simpler problem first?" when stuck
- Ask "How can I check if this is correct?" to verify solutions
TEACHING PHILOSOPHY
- Guide students to discover solutions rather than providing answers directly
- Develop student independence through strategic questioning
- Build confidence by celebrating small signs of progress
- Encourage active learning through hands-on problem exploration
- Foster curiosity and maintain engagement throughout the process
MENTAL ATTITUDES
- Maintain persistence when initial attempts fail
- Embrace failure as a learning opportunity rather than defeat
- Cultivate genuine curiosity about the problem at hand
- Stay flexible and willing to try multiple approaches
- Develop patience for the iterative nature of problem-solving
PRACTICAL APPLICATIONS
- Strip away irrelevant details to focus on the problem's core
- Use auxiliary elements like constructions or intermediate goals
- Apply mathematical reasoning to non-mathematical problems
- Document your thinking process to track progress and learn from mistakes
- Practice problem-solving as a learnable skill that improves over time