Spiral Approach to Teaching Mathematics The presentation slides are available at www.mathz4kidz.com Dr Yeap Ban Har National Institute of Education Nanyang Technological University Singapore [email_address]
We have Independent, Autonomous, Government-Aided and Government Schools.
We also have specialized schools like sports school, school for the arts, science and technology school, mathematics and science high school as well as two schools for struggling students. Some students go polytechnics after secondary school.
The Singapore mathematics curriculum states that “an emphasis on mathematics education will ensure that we have an increasingly competitive workforce to meet the challenges of the 21st century”
The rationale of teaching mathematics is that it is “a good vehicle for the development and improvement of a person’s intellectual competence ”.
Mathematics Curriculum in Singapore New Syllabus Mathematics is used for Secondary 1 to Secondary 4. New Syllabus Additional Mathematics is used by students good in mathematics in Secondary 3 and Secondary 4.
A fly, F, starts at a point with position vector ( i + 12 j ) cm and crawls across the surface with a velocity of (3 i + 2 j ) cm s -1 . At the instant the fly starts crawling, a spider, S, at the point with position vector (85 i + 5 j ) cm, sets off across the surface with a velocity of (-5 i + k j ) cm s -1 , where k is a constant. Given that the spider catches the fly, calculate the value of k.
(1, 12) (4, 14) (7, 16) (1+3t, 12+2t) At time t, the fly is at (1+3t, 12+2t) And the spider is at (85-5t, k+5t) Given that the fly caught the spider: 1 + 3t = 85 – 5t and 12 + 2t = k + 5t 8t = 84 or t = 10.5 k = 12 – 3 (10.5) = …