Teaching and Learning science from scartch

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The discussion highlights a common concern regarding the education system's focus on memorizing scientific facts and formulas without providing insight into the underlying processes and experiments that led to these discoveries. Participants express a desire for a deeper understanding of historical scientific developments, such as Copernicus's heliocentric model and the discovery of water's composition. They argue that teaching the thought processes and calculations behind scientific theories would enhance comprehension and critical thinking skills. The conversation emphasizes the importance of not just accepting information at face value, but actively questioning and seeking a deeper understanding of scientific concepts. There is a call for educational reform to prioritize understanding over rote memorization, fostering curiosity and a genuine appreciation for science.
I_am_learning
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I know a lot of scientific facts and formulas and laws, but not much about the process and experiments conducted to figure it out.
For example, I don't know how exactly did Copernicus figure out the heliocentric model. Damn, I don't even know, looking into the sky how did they even figured out planets from the stars, much less track their movements and what not. We are simply taught that there are 9 planets and they revolve around the sun.
We are taught the Newton's laws, but not the thought process (except for the apple falling on Newton's head) and the experiments and the calculations he went through to arrive at those laws.
I was taught that pure water is H20 with two hydrogen atoms held together by an oxygen atom and was taught how to balance out a chemical equation. Clearly, nobody had seen those text-book image through microscope, so how exactly by simply mixing and reacting different then-unknown chemicals did they figure out the atomic compositions?
Maybe they exclude these things (at-least in my country) because its too hard to understand for the students? But wouldn't it be appropriate then to wait until its not hard.
I think teaching the thought process and calculations leading upto a theory or formula helps to truly understand its significance and puts us in a position where we can expand on it. So, why don't they teach us those things?

Sometimes I feel like my grandma insisting that the Earth rests on back of a giant tortoise isn't doing anymore worse than me saying that its revolving round the sun through empty space because both of us are believing somebody else's words.
 
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I_am_learning said:
I was taught that pure water is H20 with two oxygen atoms held together by hydrogen atom and was taught how to balance out a chemical equation. Clearly, nobody had seen those text-book image through microscope, so how exactly by simply mixing and reacting different then-unknown chemicals did they figure out the atomic compositions?

http://www.chm.bris.ac.uk/webprojects2001/hossain/water.htm
But - http://www.rsc.org/chemistryworld/podcast/CIIEcompounds/transcripts/water.asp
It would be meaningless to speak of a discoverer of water - we've always been aware of it - but various scientists lay claim to uncovering water's composition. Laviosier realized that hydrogen and oxygen could be made from water in the 1770s, but the explicit discovery of its makeup is down to either James Watt, who suggested its composition in 1783, or Henry Cavendish who recombined oxygen and hydrogen in 1781, but didn't publicise it until a year after Watt's discovery. We do know, though, that it was in 1826 that Jöns Jakob Berzelius fixed the atomic weights of hydrogen and oxygen, and came up with the familiar H2O designation.

And this discussion - http://web.lemoyne.edu/giunta/EA/LAVEAUann.HTML

Some discussion about Cavendishes work.
http://en.wikipedia.org/wiki/Henry_Cavendish#Chemistry_research

Note that there is often a number of scientists working in a given area of science.

There is this gem - https://books.google.com/books?id=b9xYAAAAYAAJ&pg=PA131&lpg=PA131&dq=Discovery+of+composition+of+water&source=bl&ots=LEOt5_vAnU&sig=jFYuz4c8c_-mZxKU9uAZaZQx3OA&hl=en&sa=X&ei=e4CfVPHlKoPaoASuyoKwCw&ved=0CEsQ6AEwBw#v=onepage&q=Discovery%20of%20composition%20of%20water&f=false "The composition of hydrogen and the non-decomposition of water" from 1849.As for the solar system and it's structure and relationship to stars, it comes from centuries of observation, and the realization that the motions are periodic (i.e. with some regularity). It was well known that the same stars (and groups) reappeared about the same time each year. The patterns of stars changed very little from year to year or decade to decade.
 
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As a fellow internet forum user, I completely agree with you. It can be frustrating to know the facts and formulas, but not fully understand the thought process and experiments behind them. It's like we're missing a crucial piece of the puzzle.

I think it's important for education systems to not only teach the end result, but also the journey that led to it. Understanding the process and experiments behind a scientific discovery not only helps us appreciate its significance, but also encourages critical thinking and curiosity.

I also understand that some of these concepts can be difficult to grasp, but I believe it's important to challenge ourselves and not shy away from complex ideas. With proper guidance and support, we can learn and understand even the most complex scientific concepts.

I agree with you that teaching the thought process and calculations leading up to a theory or formula would greatly benefit our understanding and allow us to build upon it. It's time for our education systems to evolve and focus on not just memorizing facts, but truly understanding and questioning them.

And I completely agree with your analogy about your grandma's belief and our own beliefs based on what we're taught. It's important to not blindly accept information, but to question and seek understanding. Let's hope for a future where education is more about understanding and less about memorization.
 
Sequences and series are related concepts, but they differ extremely from one another. I believe that students in integral calculus often confuse them. Part of the problem is that: Sequences are usually taught only briefly before moving on to series. The definition of a series involves two related sequences (terms and partial sums). Both have operations that take in a sequence and output a number (the limit or the sum). Both have convergence tests for convergence (monotone convergence and...

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