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I hit upon Alex K. Chen's answer on What learning strategies do people who are "quick learners" follow? which links to this New York Times article To Really Learn, Quit Studying and Take a Test .

How can students implement this article's findings to improve studying all through the year? Some math students are examined only once, at the end of the school year, therefore how can they benefit fom this? To address Fantini's comment underneath, I too am against focusing on tests.

Furthermore, are there other more efficient methods than the four in this table from the article?

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My first thought was to self-serve past papers as tests. However, past papers might not be useful as the same questions probably will not be repeated? To get back to Tobias Kildetoft:

Concept mapping: Students "arranged information from the passage into a kind of diagram, writing details and ideas in hand-drawn bubbles and linking the bubbles in an organized way." "Having students draw detailed diagrams documenting what they are learning — is prized by many teachers because it forces students to make connections among facts. "

Retrieval practice: "students who read a passage, then took a test asking them to recall what they had read"

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Could you provide a quick overview of what those methods entail? It seems clear that in order to do well in a test set a week from now, the best anyone can do is to model their study on that type of test by simply doing a bunch of practice tests. This does not mean it is the best way for long-term learning. –  Tobias Kildetoft Jan 22 '14 at 10:10
Not really a math question. –  lhf Jan 22 '14 at 11:20
This actually rings a lot of bells, the wrong ones. Why focus even more on testing? Articles like that just enforce one of the biggest problems of education today. –  Mark Fantini Jan 22 '14 at 11:29
@TobiasKildetoft: I added them to my question except for repeated studying and one study session which the article didn't define. Please do not hesitate to improve my question. –  Jacquelyn Li Jan 22 '14 at 12:00
@lhf I am asking about this specifically about math and how it can be applied to math studying by math students. Do you think I can improve the question? –  Jacquelyn Li Jan 22 '14 at 12:01

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