Tools your students use to seek errors and statements to move from known ideas to creating ideas are such as the following below:
- Critical Thinking: judging the true value of statements and seeking errors.
- Random Ideas: first word that come to their head when the problem is read.
- Provocation Ideas: Wishful thinking, escape, distortion, outlandish moves.
- Movement Techniques: think of special circumstances from moment to moment.
- Challenge Idea: asking "why?"
Lateral thinking is an serious alternative to say training in creativity, and as such the tools must be taught and trained using a didactic and pedagogical approach very different form both the training in logic/analyses (vertical thinking) and the training in creativity/sensibility (horizontal thinking). When taught in the correct way the pupils will learn strong thinking, as an alternative to thinking purely based in traditional vertical/horizontal thinking.
Example Questions:
- 10+7=5, 9+6=3, 11+5=4, 8+11=7 But Tom was also right how was he right?
- You are driving down the road in your car on a wild, stormy night, when you pass by a bus stop and you see three people waiting for the bus: an old lady who looks as if she is about to die, an old friend who once saved your life, and the perfect partner you have been dreaming about. Knowing that there can only be one passenger in your car, whom do you choose?
Lateral thinking is a great way to get students engaged in the morning and get their brains warmed up for math since creative thinking is the best kind of thinking when it comes to math. Here is a great resource for you to use in your classroom: http://www.smart-kit.com/scategory/brain-teasers/lateral-thinking-puzzles/

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