Mathematics at the Cross-roads: A Critical Survey of the Teaching of Mathematics ...Maskew Miller, limited, 1942 - 239 sider |
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Side 47
... theorems be based on first principles and long chains of dependent propositions should be avoided . A proposition should be quoted by its enunciation or by a brief suggestion of it , not by its number in any textbook . In theorems or ...
... theorems be based on first principles and long chains of dependent propositions should be avoided . A proposition should be quoted by its enunciation or by a brief suggestion of it , not by its number in any textbook . In theorems or ...
Side 107
... THEOREMS . The South African pupil who elects mathematics as a subject in the secondary school studies geometry for four consecutive years . During that time he is taught some 120 propositions- about 90 theorems and 30 problems - in a ...
... THEOREMS . The South African pupil who elects mathematics as a subject in the secondary school studies geometry for four consecutive years . During that time he is taught some 120 propositions- about 90 theorems and 30 problems - in a ...
Side 113
... theorems . 1. Theorems are arranged in a logical sequence and can therefore not be graded as to difficulty . 2. Since ( a ) the proofs of theo- rems which come early in the sequence are often dif- ficult and ( b ) examinations require ...
... theorems . 1. Theorems are arranged in a logical sequence and can therefore not be graded as to difficulty . 2. Since ( a ) the proofs of theo- rems which come early in the sequence are often dif- ficult and ( b ) examinations require ...
Innhold
Chapter | 1 |
THE UNION OF SOUTH AFRICA ITS EDUCATIONAL | 10 |
Stranglehold of Examinations and Domination by Univer | 22 |
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African secondary schools Afrikaans algebra and geometry applied arithmetic Bulletin of Educational calculus Cape Department Cape Province circle commercial arithmetic compulsory concept Council of Teachers curriculum deductive Department of Education Educational Statistics England English equal equations Euclid example exercises experimental factors formal geometry formal proofs formula fractions function graphs High School Ibid informal geometry interests intuitive Joint Matriculation Board Junior Certificate examination large number logarithms Malherbe manipulation mathe Mathematical Association Mathematics in Secondary mathematics syllabus Mathematics Teacher matics matriculation examination methods millimetres National Council Orange Free parallelogram Percentage of Pupils practical present primary school problems propositions Refer reorganization Report Secondary Education Senior Certificate course sides solid geometry South Africa South African schools South African secondary stage Standards VII straight line taught Teaching of Geometry teaching of mathematics technical textbooks theorems thinking Transvaal triangle trigonometry Union of South vocational Yearbook