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Course Pro FormaProgram Ijazah Sarjana Muda Perguruan Dengan Kepujian

(Matematik Pendidikan Rendah)

Course Title Knowing Numbers (Mengenal Nombor)

Course Code MTE 3101

Credit 3(3+0)

Contact Hours

45 hours

Language Of Delivery

English

Prerequisite To Entry

Nil

Semester One/ Two

Learning Outcomes

1. Compare the development of various number systems

2. Generate one set of numbers to another set of numbers

3. Characterize natural, rational, irrational and real numbers

4. Perform fundamental operations on the various sets of numbers

5. Extend knowledge in number concepts through number recreation activities

6. Determine the modulus, argument and conjugate of a complex number

7. Convert complex number from coordinate form to polar form and vice versa

8. Apply number concepts in problem solving activities

Synopsis In this course students are exposed to the various numeration systems and also the elementary number theory. In addition, there is a further exploration into natural, rational, irrational and real numbers. The characteristics and theorems related to these sets of numbers will also be highlighted. Appreciation of Fibonacci Numbers and Golden Ratio in nature is emphasized. In the process, students will apply their knowledge of numbers in number recreations and problem solving.

Kursus ini akan memberi pendedahan kepada pelajar tentang sistem nombor dan asas teori nombor. Pelajar juga akan menerokai dengan lebih mendalam tentang ciri dan teorem yang berkaitan dengan nombor asli, nombor nisbah dan nombor bukan nisbah serta nombor nyata. Perkaitan antara Nombor Fibonacci dengan Golden Ratio dan alam semula jadi juga akan dibincangkan dan akan diaplikasikan dalam rekreasi nombor dan penyelesaian masalah .

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Topic Content Hours

1 Numeration Systems Early numeration systems Hindu-Arabic Numeration System Different numeration systems

o Number of symbols and grouping in various bases

o Changing base b to base 10 and vice versa

6

2 Elementary Number Theory Number systems

o Definition o Classifications within the set of real

numberso Number representation

6

3 Natural numbers Prime Numbers

o Divisibilityo Prime Factorization -The Euclidean

Algorithm Modular Numbers The Fundamental Theorem of Arithmetic Number recreations

o Fibonacci Sequence and Golden Ratioo Magic Squareso Problem solving

12

4 Rational Numbers Basic properties Cardinality of the rational numbers Complex fractions and continued fractions Problem solving

6

5 Irrational Numbers Basic properties Square roots and surds

o Product ruleo Quotient ruleo Problem solving

6

6 Complex Numbers Modulus, argument and conjugate of a

Complex Number Operations involving Complex Numbers Complex Numbers in polar form

6

7 Estimation of quantities Rounding off numbers

o whole Numberso fraction and decimalso standard forms o square roots and surds

3

Total 45

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Assessment Coursework 50%Examination 50%

Main References Groves, Susie. (2006). Exploring number and space: Study guide. Victoria: Deakin University.

Musser, Gary L.; Burger, William F. & Peterson, Blake E. (2006). Mathematics for elementary teachers. A contemporary approach. 7th ed. NJ: John Wiley and Sons.

Smith, K. J. (2001). The nature of mathematics. 9th ed. Pacific Grove,CA: Brooks/Cole.

AdditionalReferences

Bennett A.B. and Nelson L.T., (1998). Mathematics for elementary teachers: An activity approach. 4th ed. NY:McGraw-Hill.

Brodie, Ross and Swift, Stephen. (2002). New QMaths II. Australia: Nelson Thomson Learning.

Byrne, J. Richard. (2000). Number systems: An elementary approach. New Jersey: Prentice Hall.

Groves, Susie. (2006). Exploring number and space: Reader. Victoria: Deakin University.

Humble, S. (2002). The experimenter’s A-Z of mathematics: Maths activities with computer support. London: David Fulton.

Miller, C. D.; Heeren, V. E. & Hornsby, E. J. Jr. (1990). Mathematical ideas. 6th ed. USA: Harper Collins.

Mullan, E. et.al. (2001). Maths in action: Mathematics 2. USA: Nelson Thornes Limited.

Nicholson, W. Keith. (2003). Linear algebra with applications. 4th ed. Singapore: McGraw Hill.

Shakuntala Devi (1984). The book of numbers. Delhi, India: Orient Paperbacks.

Shakuntala Devi (1986). The joy of numbers. Delhi, India: Orient Paperbacks.

Sullivan, Michael. (1999). Algebra and trigonometry. 5th ed. New Jersey: Prentice Hall. Tipler, M.J. et.al.(2003). New national framework mathematics. USA: Nelson Thornes Limited.