Mathematics bridging program helps students to grasp the basic foundation concepts in order to be prepared for the IBDP Mathematics courses. We also focused in teaching student to use ICT skill, like use of Excel. The rationale behind this is to prepare students to use Graphic Design Calculator (GDC). GDC is very similar to Excel in many ways, including data input and processing, graph plotting reading and handling. Beside, Excel and other similar database software have become popular tools for modern business, so learning it will also help students to develop professional skill for future use.
数学衔接课程帮助学生掌握基本的基础概念,为了IBDP数学课程做好准备。我注重在教学学生使用电脑和信息通信技术的技能的培训,如使用Excel。这样做的理由是为了培养学生使用平面设计计算器(GDC)。 GDC和Excel在许多方面是非常相似的,包括数据输入和处理,图形绘制读取和处理。除此之外,Excel和其它类似的数据库软件已经成为现代企业流行的工具,所以学习Excel也将帮助学生发展专业技能以备将来使用。
Learning Activity
To enhance students’ learning of Excel, after each topic students have to do a mini project on different topics using Excel. The following is a sample of one of the project. Students have to create an automated spreadsheet that accept price of apartment, saving per month and interest rate as input and calculate the time need for such a purchase action.
Topics covered in year 10:
Sequence
Compound interest
Simultaneous equation
Quadratic equation
Geometry
Area and volume
Coordinate geometry
Transformation
Vector
Set and Venn diagram
Simple Statistic and probability
There are 4 options for Mathematics and our school is providing 3 of them,
including:
数学学科有四个选项,我校提供其中的三门课程,包括:
1. Mathematics (Higher level) 数学(高级课程)
2. Mathematics (Standard level) 数学(普通课程)
3. Mathematical studies (Standard level) 数学学习(普通课程)
Students can choose from one of the subjects based on their abilities, interest,
other choices of subjects and needs for further studies. In the following section,
we will introduce each of the above options.
学生可根据自己的能力、 兴趣和其他学科的选择和进一步学习的需要从中选
择一门课程。以下,我们将逐一介绍数学学科的各门课程。
For each Mathematics subject, there are lists of prior knowledge. The prior
knowledge includes: arithmetic, algebra, geometry, trigonometry, probability
and statistics. This prior knowledge should be covered in the normal middle
school program and is covered in our Year 10 Bridging program.
每一门数学课程有先前知识,这包括:四则运算、代数、几何、三角函数、
概率和统计。这些先前知识应涵盖于普通中学课程和我们的十年级预备班中。
The goal of IB Mathematics subjects is to develop logical, critical and creative 17
thinking, patience and persistence in problem-solving, while letting students
enjoy mathematics, and develop an appreciation of the elegance and power of
mathematics.
数学学科的目标是培养学生的逻辑思维能力、 批判性和创造性思考能力和在
问题解决中的耐心和恒心。同时,也让学生享受学习数学的乐趣,并且也培养欣
赏数学的优雅和力量。
1. Mathematical Studies Standard Level数学学习(普通课程)
This course is available only at standard level, and is equivalent in status to
Mathematics SL, but addresses different needs. It focuses on applications of
Mathematics, and statistical techniques. It is designed for students with varied
mathematical backgrounds and abilities. It offers students the important
concepts and techniques of Mathematics and to gain an understanding of a
wide variety of mathematical topics. It prepares students to be able to solve
problems in a variety of settings, to develop mathematical reasoning and to
enhance their critical thinking. The individual project is an extended piece of
work based on personal research involving the collection, analysis and
evaluation of data. Students taking this course are well prepared for a career in
the social sciences, humanities, languages or arts. These students may need
to utilise the statistics and logical reasoning that they have learned as part of
the mathematical studies SL course in their future studies.
本课程只提供普通课程,并且和数学(普通课程)是同样的地位,但是针对
不同的需要。它着重于数学的应用和统计技巧。它为不同数学背景和能力的学生
而设计,教给学生数学的重要概念和技巧,并理解多种多样的数学专题。本课程
预备学生能在不同的情景下解决问题,培养数学推理和增强批判性思考能力。个
人专题作业是一个基于个人研究的扩展论文,包括对数据的收集、分析和评价。
选修本课程的学生将为将来从事社会科学、人文科学、语言或艺术领域的工作做
好预备。这些学生在他们未来的学习中会需要利用统计学和逻辑推理,这些是数
学学习(普通课程)的一部分。
2. Mathematics Standard Level数学(普通课程)
This course caters for students who already possess knowledge of basic
mathematical concepts, and who are equipped with the skills needed to apply
simple mathematical techniques correctly. The majority of these students can
expect to need a sound mathematical background as they prepare for future
studies in subjects such as Chemistry, Economics, Psychology and Business
Administration.
本课程适合那些已经具备基本的数学知识的学生,他们已经掌握相关技能,18
能够正确应用简单的数学技术。大部分学生需要一个良好的数学背景,因为他们
准备在未来学习相关学科,如化学、经济、心理学和商务管理。
Syllabus component教学大纲内容
Topic 1 Number and algebra 数与代数
Topic 2 Descriptive statistics 描述统计学
Topic 3 Logic, sets and probability 逻辑、集合和概率
Topic 4 Statistical applications 统计学应用
Topic 5 Geometry and trigonometry 几何与三角函数
Topic 6 Mathematical models 数学模型
Topic 7 Introduction to differential calculus 微分学概论
Individual Project 个人专题作业
3. Mathematics High Level数学(高级课程)
This course caters for students with a good background in Mathematics who
are competent in a range of analytical and technical skills. The majority of
these students will be looking to include Mathematics as a major component of
their university studies, e.g. in Actuarial Science, Mathematics, Physics,
Engineering and Technology. Others may take this subject because they have
a strong interest in Mathematics and enjoy meeting its challenges and
engaging with its problems.
本课程适合有很好数学背景的学生,他们具备一系列分析性和技术技能。大
部分学生会将数学作为其大学学习的一个专业学习内容,例如精算科学、数学、
物理、工程和技术。其他学生选修本课程是因为他们对数学有浓厚的兴趣并乐于
接受挑战和解决相关数学问题。
Syllabus component 教学大纲内容
Core syllabus content 核心教学内容
Topic 1 Algebra 代数
Topic 2 Functions and equations 函数与方程式
Topic 3 Circular functions and trigonometry 圆函数和三角函数
Topic 4 Vectors向量
Topic 5 Statistics and probability 统计学和概率
Topic 6 Calculus 微积分
Mathematical exploration (piece of written work that involves investigating an
area of Mathematics) 数学探究(一份书面作业,包括调查一个数学领域)
Option syllabus content (1 out of 4) 可选的教学大纲内容(4 选 1)
Topic 7 Statistics and probability 统计学与概率 19
Topic 8 Sets, relations and groups 集合、关系和群组
Topic 9 Calculus 微积分
Topic 10 Discrete Mathematics 离散数学
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