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# Category Archives: education

## On mathematics

Mathematics is regarded as a demonstrative science. Yet this is only one of its aspects. Finished mathematics presented in a finished form appears as purely demonstrative, consisting of proofs only. Yet mathematics in the making resembles any other human knowledge … Continue reading

Posted in education, logic, mathematics, mathematics education, quotes
Tagged education, induction, mathematics, plausible, polya, reasoning
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## Unreal and Useless Problems

We had previously talked about problem with contexts given in mathematics problems. This is not new, Thorndike in 1926 made similar observations. Unreal and Useless Problems In a previous chapter it was shown that about half of the verbal problems … Continue reading

Posted in children, education, mathematics, mathematics education
Tagged didactics, education, mathematics, psychology, word problems
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## School as a manufacturing process

Over most of this century, school has been conceived as a manufacturing process in which raw materials (youngsters) are operated upon by the educational process (machinery), some for a longer period than others, and turned into finished products. Youngsters learn … Continue reading

Posted in aims of education, education, students, Uncategorized
Tagged education, schools, students, teachers
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## Thomas Kuhn on the role of textbooks in science education

The single most striking feature of this [science] education is that, to an extent wholly unknown in other fields, it is conducted entirely through textbooks. Typically, undergraduate and graduate students of chemistry, physics, astronomy, geology, or biology acquire the substance … Continue reading

Posted in education, science, science education
Tagged education, history of science, kuhn, philosophy of science, popper, science, science education, textbooks
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## Science Education and Textbooks

What are the worst possible ways of approaching the textbooks for teaching science? In his book Science Teaching: The Role of History and Philosophy of Science pedagogue Michael Matthews quotes (p. 51) Kenealy in this matter. Many of the textbooks of … Continue reading

Posted in education, science, science education, students, Uncategorized
Tagged assessments, exams, science, students, textbooks
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## On not learning or con in the context

We will, we will, fail you by testing what you do not know… We live in a rather strange world. Or is it that we assume the world to be non-strange in a normative way, but the descriptive world has … Continue reading

Posted in education, mathematics, mathematics education
Tagged critique, education, mathematics, philosophy, research
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## The Textbook League

I came across this site while reading an article, there are interesting reviews of textbooks used in schools. And some of these reviews are gory, splitting out the blood and guts of the textbooks and their inaneness. Hopefully, many people … Continue reading

Posted in aims of education, education, mathematics education, review, science education
Tagged education, review, textbooks
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## Children and you

Your children are not your children. They are the sons and daughters of Life’s longing for itself. They come through you but not from you, And though they are with you yet they belong not to you. You may give … Continue reading

## Knowledge, its use and teaching

Bodies of knowledge are, with a few exceptions, not designed to be taught, but to be used. To teach a body of knowledge is thus a highly artificial enterprise. thus a highly artificial enterprise. The transition from knowledge regarded as … Continue reading

Posted in aims of education, education
Tagged bodies, didactic, knowledge, teaching, tool, transposition, using
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## What is a mathematical proof?

A dialogue in The Mathematical Experience by Davis and Hersh on what is mathematical proof and who decides what a proof is? Let’s see how our ideal mathematician (IM) made out with a student who came to him with a strange … Continue reading

Posted in education, mathematics, mathematics education
Tagged mathematical ideas, mathematics, norms, proof, teaching
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