# Secondary Mathematics Department

The question, “What is mathematics?” has been debated and analysed over thousands of years since the days of Plato till today. In SIS(HK), mathematics teachers strive to achieve the answer to this question by adopting the following definition defined by Courant and Robbins (1947):

* Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.*

**Vision**The Mathematics Department seeks to nurture students to become individuals who have a passion for Mathematics, and who are able to apply problem solving skills in everyday life.

**Mission**We are committed to

- delivering a curriculum which provides a base for further education in mathematics,
- engaging the students in a variety of learning experiences,
- providing opportunities for students to apply their knowledge and skills in different problem solving situations, and
- strengthening collaborations between mathematics and other subjects.

**Mathematics Teachers**

**Curriculum in SIS(HK)**

In SISHK, the curriculum is currently divided into a 2-2-2 system, namely two years of lower secondary mathematics curriculum, two years of upper secondary mathematics and two years of senior year mathematics programmes.

Lower Secondary

The Lower Secondary mathematics syllabus is aligned with that of Singapore’s Ministry of Education. It focuses on building strong foundation in arithmetic, algebra, geometry, statistics and probability. Students are expected to be inquisitive and to be able to articulate their reasoning.

Upper Secondary

The upper secondary math course is taught in two different programmes: Accelerated mathematics and Dual mathematics.

The Accelerated mathematics programme is an academically demanding course where students will complete the IGCSE math (0580) curriculum within the first 8 months in Secondary Three and then go on to read the IGCSE additional mathematics (0606) curriculum thereafter. Advanced mathematical techniques and problem solving skills will be emphasized throughout the course, with a concerted focus on developing their knowledge of mathematical concepts and principles within the scope of advanced geometry, trigonometry and calculus. Students are expected to be independent and have a strong foundation in algebra, arithmetic and geometry in their lower secondary curriculum.

The Dual mathematics programme aims to provide our students with an alternative path towards getting the same exposure to both IGCSE math (0580) and IGCSE additional math (0606) in the accelerated mathematic programme. Both curricula will be taught in parallel in both Sec 3 and Sec 4 such that students will have the time to consolidate and assimilate their learning. This programme prepares students to sit for the IGCSE Mathematics (0580) and IGSCE additional mathematics (0606) examinations at the end of Secondary 4. Students will be exposed to advanced mathematical techniques and further develop their knowledge of mathematical concepts and principles. Students are expected to be independent and have a good foundation in algebra, arithmetic and geometry in their lower secondary curriculum.

Senior Year

The IB Diploma Programme (DP) is a rigorous, academically challenging and balanced programme of education designed to prepare students aged 16 to 19 for success at university and life beyond. The DP aims to encourage students to be knowledgeable, inquiring, caring and compassionate, and to develop intercultural understanding, open-mindedness and the attitudes necessary to respect and evaluate a range of viewpoints.

Higher Level

The IB DP higher level mathematics course focuses on developing important mathematical concepts in a comprehensible, coherent and rigorous way, achieved by a carefully balanced approach. Students are encouraged to apply their mathematical knowledge to solve problems set in a variety of meaningful contexts. Development of each topic should feature justification and proof of results. Students should expect to develop insight into mathematical form and structure, and should be intellectually equipped to appreciate the links between concepts in different topic areas. They are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments. The internally assessed exploration allows students to develop independence in mathematical learning. Students are encouraged to take a considered approach to various mathematical activities and to explore different mathematical ideas.

Standard Level

There are two Standard Level mathematics that are offered in SIS(HK).

The IB DP mathematics standard level (SL) course focuses on introducing important mathematical concepts through the development of mathematical techniques. The intention is to introduce students to these concepts in a comprehensible and coherent way. Students should, wherever possible, apply the mathematical knowledge they have acquired to solve realistic problems set in an appropriate context.

The IB DP mathematical studies standard level (SL) course places more emphasis on student understanding of fundamental concepts than on symbolic manipulation and complex manipulative skills, thus, giving greater emphasis to developing students’ mathematical reasoning. Students are expected to solve mathematical problems embedded in a wide range of contexts and to be proficient in using the calculator effectively. There is an emphasis on applications of mathematics and statistical techniques. It is designed to offer students with varied mathematical backgrounds and abilities the opportunity to learn important concepts and techniques and to gain an understanding of a wide variety of mathematical topics, preparing them to solve problems in a variety of settings, developing more sophisticated mathematical reasoning and enhancing their critical thinking.

**Assessment Weighting for Academic Year 2017/2018**

Levels |
CA1 (Aug - Dec) |
CA2 (Jan - May) |
DailyHW+ |
EOY / Mocks |
Overall |

S1, S2 |
40% | 25% | 5% | 30% | 100% |

S3 (A.Math) |
40% | 25% | - | 35% | 100% |

S3 (Math) |
40% | 25% | - | 35% | 100% |

S3 Acc (Math) |
45% | 15% | - | 40% | 100% |

S3 Acc (A.M) |
- | 40% | - | 60% | 100% |

S4 (A.M, Math) |
- | - | - | 100% | - |

DP1 (SL, HL) |
36% | 24% | - | 40% | 100% |

DP2 (SL, HL) |
- | - | - | 100% | - |

There are no Continuous and Semestral Assessment marks for S4 and DP2 students. Their progress will be reported in the following ways:

- Midyear Progress Report (issued in November)
- Mock Exam Report (issued in April)

**Subject Information**Information on Mathematics at Lower Secondary, IGCSE, and DP levels can be found at the following websites:

- https://www.moe.gov.sg/docs/default-source/document/education/syllabuses/sciences/files/mathematics-syllabus-sec-1-to-4-express-n(a)-course.pdf
- http://www.cie.org.uk/programmes-and-qualifications/cambridge-igcse-mathematics-0580/
- http://www.cie.org.uk/programmes-and-qualifications/cambridge-igcse-mathematics-additional-0606/
- http://www.ibo.org/programmes/diploma-programme/curriculum/mathematics/