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SS | Mathematics Learning 高中数学课程学习

发布时间:2024年03月18日 17:55 编辑: 



 


G9 Maths - Extended and Standard

9年级数学:扩展数学(Extended)和普通

数学(Standard)

In the three weeks since the beginning of this semester, we have finished studying the statistics part of IGCSE Mathematics 0580, and are currently talking about probability. We learned how to collect and organise data, as well as how to analyse and interpret it. We learned how to calculate statistics such as mean, median, range, and standard deviation. For extended class, we also learned how to draw statistical charts such as histograms and box and whisker plots.

本学期开学三个星期以来,我们学完了IGCSE 数学0580的统计部分,目前正在学习概率。我们学习了如何收集和整理数据,以及如何对数据进行分析和解释。我们掌握了计算平均数、中位数、极差和标准差等统计量的方法。扩展班级还学习了绘制直方图和箱线图等统计图表。


In addition to classroom learning, we also organised students to register for the Kangaroo Math Competition and the Waterloo Math Competition. These competitions provide practical opportunities for students to apply the mathematical knowledge and skills they have learned. Participating in competitions can not only exercise mathematical thinking and problem-solving abilities, but also stimulate students' interest and enthusiasm for mathematics.

除了课堂学习,我们还组织了同学们报名袋鼠数学竞赛和滑铁卢数学竞赛。这些给同学们的竞赛提供了丰富的实践机会,让他们能够应用所学的数学知识和技巧,参加竞赛不仅可以锻炼数学思维和解决问题的能力,还可以激发同学们对数学的兴趣和热情。


G9 Maths – Core

9年级核心数学

In the Core class, while studying basic probability concepts, the teacher designed a roulette wheel experiment to help students understand the concepts of theoretical probability and conditional probability. In the experiment, each student selects a specific sector on the roulette wheel and records and shares their experimental results.

在核心数学班级,在学习基础概率知识时,教师设计了转盘实验来帮助学生理解理论概率和条件概率的概念。在实验中,每位学生在转盘上选择一个特定的区块,记录和分享他们的实验结果。

         
         
         
         
         
         


G10 IGCSE Additional Mathematics (0606)

and IGCSE Mathematics (0580)

10年级IGCSE附加数学(0606)及IGCSE

普通数学(0508)

At the end of March, we are about to finish the new course content and transition to IGCSE pre-exam review and practice with past papers. Amidst the intense studying and preparation, some students from Grade 10 and others from Grade 11, under the guidance of teachers, visited Shenzhen Xinyinhai Electronics Co., Ltd. for on-site study, aiming to understand the mathematical models used by enterprises to achieve Environmental, Social, and Governance (ESG) goals through production process optimisation. During this activity, students had face-to-face exchanges with Professor Y.H. Kuo from the University of Hong Kong and engineers from Xinyinhai Electronics, learning about the specific applications of mathematical modelling in research and industry.

我们即将在3月底完成新课内容的学习,进入IGCSE考前专题复习和真题演练。在紧张的学习和备考之余,10年级和11年级的部分学生在老师的带领下来到深圳鑫银海电子有限公司实地研学,了解企业通过生产工艺优化达至环境社会与治理(ESG)目标过程中的数学模型。在这次活动中,学生与香港大学郭永鸿教授以及鑫银海电子公司的工程师面对面交流,了解数学建模在科研与工业界的具体应用。

         
         
         
         


G11 A-level Mathematics (9709)

11年级A-level数学(9709)

Whether for Pure Mathematics 1 or Statistics 1, we have essentially completed the new course content and begun the stage of focused review and pre-exam practice with past papers. In order to help classmates review more effectively and take initiative in mastering the knowledge, students have been divided into several groups, with each group responsible for summarising and explaining the content of a chapter.

不论是纯数1还是统计1,我们都已基本完成新课内容的学习,进入了专题复习和考前真题演练阶段。为了帮同学们更好地复习和主动地掌握知识,同学们被分成若干小组,每个小组负责一个章节内容的梳理和讲解。

         
         
         


G11 A-level Further Mathematics (9231)

11年级A-level进阶数学(9231)

This semester we have studied the further statistics section, which includes three chapters: inferential statistics, Chi-squared test and non-parametric test. Inferential statistics is one of the most important areas in statistics. It helps us make inferences about the population from sample data, including hypothesis testing and interval estimation. The chi-squared test is widely used in a variety of fields, including medical research, market research, and social sciences, to examine relationships between variables. Non-parametric testing is a statistical method that does not rely on population distribution assumptions. We have learned some common non-parametric testing methods, such as the Wilcoxon signed-rank test.

本学期我们学习了进阶统计部分,包含统计推断、卡方检验和非参数检验三个章节。统计推断是统计学中最重要的领域之一,它帮助我们从样本数据中做出关于总体的推断,包含假设检验和区间估计。卡方检验广泛应用于各种领域,包括医学研究、市场调查和社会科学等,使用它可以检查变量之间的关系。非参数检验是一种不依赖于总体分布假设的统计方法,我们学习了一些常见的非参数检验方法,如Wilcoxon符号秩检验。



G12 A-level Mathematics (9709)

12年级A-level数学(9709)

In A-level Mathematics, iterative methods are frequently applied to solve equations or problems. Teachers guide students through practical computations and observe the convergence process during the teaching process. When using iterative methods to solve problems, students need to understand the convergence and divergence of the iterative process. Convergence refers to whether the iterative process tends towards a stable solution, while divergence refers to whether the iterative process will deviate from the solution indefinitely. Students should learn to judge the convergence of iterative methods and adjust algorithms or initial guesses as needed to ensure convergence.

在A-level数学中,迭代方法经常应用于求解方程或求解问题。教师在教学过程中引导学生进行实际计算和观察收敛过程,在使用迭代方法解决问题时,学生需要了解迭代过程的收敛性和发散性。收敛性指迭代过程是否趋向于一个稳定的解,而发散性指迭代过程是否会无限制地偏离解。学生应该学会判断迭代方法的收敛性,并根据需要调整算法或初始猜测来确保收敛性。

         


       






     


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