School Calculus Curriculum and the Singapore Mathematics Curriculum Framework

Keywords: school calculus; informal calculus; applications of calculus; differentiation and integration

Abstract: School calculus plays at least two important roles in the Singapore mathematics curriculum. Firstly, it plays a supporting role for achieving the general education agenda by meeting the aims of mathematics education. Secondly, it prepares students for undergraduate mathematics education. This paper argues how the dual roles are fulfilled by critically examining the Additional Mathematics syllabus for the upper secondary level (students age 15 to 16/17) and the two mathematics syllabuses (H1 and H2 Mathematics) at the pre-university level (students age 17 to 18/19). This paper also studies the response of a group of pre-university students' performance in a calculus audit that examines students' concept images about school calculus. The paper concludes with a discussion of the implications of the students' responses in the calculus audit. (Click here for article)

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Tin Lam Toh

11.06.2021

School Calculus Curriculum and the Singapore Mathematics Curriculum Framework

Keywords: school calculus; informal calculus; applications of calculus; differentiation and integration

Abstract: School calculus plays at least two important roles in the Singapore mathematics curriculum. Firstly, it plays a supporting role for achieving the general education agenda by meeting the aims of mathematics education. Secondly, it prepares students for undergraduate mathematics education. This paper argues how the dual roles are fulfilled by critically examining the Additional Mathematics syllabus for the upper secondary level (students age 15 to 16/17) and the two mathematics syllabuses (H1 and H2 Mathematics) at the pre-university level (students age 17 to 18/19). This paper also studies the response of a group of pre-university students' performance in a calculus audit that examines students' concept images about school calculus. The paper concludes with a discussion of the implications of the students' responses in the calculus audit. (Click here for article)