Kamis, 21 Maret 2013

HOW TO CHOOSE A TEXTBOOK ON MATHEMATICS?



I. Is a text book necessary for teaching mathematics?
1. A textbook is necessary for studying mathematics.
2. A good textbook is primarily made for students.
3. A good textbook is primarily made for teachers.
4. A textbook is made for teachers, students and parents (assistant) alike.
5. Textbooks should regularly be used during lessons.
6. A textbook should be supplemented by a collection of exercises, too.
7. A textbook should be supplemented by chapter test sheets, too.
8. Instead of a textbook, a series of textbooks is necessary (textbook, book of solutions, test sheet, collection of exercise, teacher’s book).
II. Usability
1. A good textbook is primarily made for student.
2. New information should be introduced with sample solutions of exercises.
3. New information should be discovered by student.
4. New information should be acquirable individually with a textbook.
5. A textbook should also suit teacher-aided acquisition.
6. The mathematical technical language should be interpretable for students.
7. No long, complex sentences should be included in a textbook.
8. It is style that is the most important with respect to wording.
9. It is precise mathematical terminology that is the most important with respect to phrasing.
10. Problems should be ordered according to the degree of difficulty.
11. The results of the problems in a textbook should be included in it.
12. The solutions of the problems should always be checked in a textbook.

III. Structure, contents, requirements

PR Kalkulus


Nama : Levana Maharani
NIM : 06111408010

Latihan 10.5
9. Carilah koordinat polar yang koordinat Cartesiusnya diberikan.
 a. ( 3√3 , 3 )
 b. (-2√3, 2)
 c. ( -√2, -√2 )
 d. (0, 0)
Jawab:
 a. ( 3√3 , 3 )
     r^2 = x^2 + y^2
           = ( 3√3 )2 + 32
           = 9 (3) + 9
           = 27 + 9
           = 36
         r = √36
           = 6
tan θ = x/y
        = 3/(3√3)
        = 1/√3 x √3/√3
        = 1/3 √3
     θ = π/6
, koordinat polarnya adalah ( 6,π/6 )