can you give me ways of explainig inductive and deductive reosoning?

Question

need it to teach my class

Answer 1

Inductive reasoning is starting with observation of facts and deduce a rule from what you see.

If you drop something, you see it falls down. Because we have seen that so many times we know that things fall down.
We extract a rule from the facts. But we cannot prove that rule abstractly, we cannot prove it without taking the "proof".

Deductive reasoning is reasoning from logic.
If all Cretans are liars
an I'm a Cretan
then... I'm a liar.

You can conclude that, without ever seeing me, without ever having catched me to lie.

You can find examples yourself.

In a class I should (try to) explain the difference, with two,
well chosen examples.
Then ask the class to discuss two other examples and then
with the class discussing examples they come up with.

I think that examples of inductive reasoning are simpler to give than examples of deductive reasoning.

"Evolutionism" is inductive,
"Creationism" is deductive.

Hope this helps.
Good luck.

Answer 2

Induction and mathematical induction are not the same. The reason is that mathematical induction is deductive but induction is not deductive. Induction in the general sense:
You have awakened all the past days of your live, so you'll awaken tomorrow. This is an assumption which is probably true if you have a favorable position in some actuarial tables.
If it were not an assumption but a true proposition ,then by mathematical induction, you would live forever!
Deductive reasoning means that the conclusions have to follow from the hypothesis, whereas"You'll awaken tomorrow"
does not have to follow. Hope this helps

Answer 3

The easiest way I can think of is this:

Deduction is from large case to small case. If all hares are rabbits, and Melissa is a hare, I can deduce that Melissa is a rabbit.

Induction is from small case to large case. If Ron went to the bar last night, and he's going to the bar tonight, I can induce that he will go to the bar tomorrow. (I'm a natural scientist, so I meet induction with suspicion, but it's an accepted formalism in mathematics.)

Deduction often happens from axioms, say geometry and the like. Induction usually pops up when inducing what number comes next in a mathematical series.