The Mathematics Department at LEH Foshan recognises that mathematics skills and concepts are essential building blocks for students to develop a working knowledge of the world around them and aims to awaken an interest and joy for the use of mathematics in the real world.

在佛山霍利斯，我们相信数学技能和原理是帮助学生认识世界的重要基石，并希望唤起和激发学生们在现实世界中运用数学的兴趣和乐趣。

Mathematics at LEH believes that students learn through doing. The primary aim is to nurture all students to be confident, capable mathematicians for the future. Of course, what students learn is important – but how they learn is even more crucial. Students learn through investigating, exploring, talking, problem-solving and, quite simply ‘doing’ things. LEH teachers work on positive and negative reinforcement (behaviourism), problem solving (cognitivism) and discovery learning (constructivism).

佛山霍利斯的课堂鼓励学生们在实践中学习。我们的首要目标是将学生们培养成为对未来充满信心并具有专业能力的小数学家。学习内容固然重要，但学习的方式更加关键。学生们从研究、探索、讨论、解决问题的不同实践环节中学习。霍利斯的数学老师们善于通过正负强化（行为主义）、问题解决（认知主义）和探究型学习（建构主义）进行数学教学。

We believe that students are more successful when systematic problem solving is incorporated into discovery learning. Consequently, there should be more emphasis on teaching methods which include less lecture, more student-directed classes and more discussion. The LEH mathematics department believes that problem-solving and discovery-learning skills not only contribute to better mathematics learning but also enhance students’ creativity to cope with life challenges.

我们坚信，如果在探究型学习中纳入系统性问题，学生更容易获得达成学习目标。因此，霍利斯更加重视教学的方法，包括减少枯燥重复式教学，倡议学生主导课程，增加讨论活动的比例。数学学科团队认为，解决问题和探究型学习不但能帮助学生更好掌握数学知识，还能帮助学生们在面对生活挑战时发挥更高水平的创造力。

Motivating students to be enthusiastically receptive is one of the most important aspects of mathematics instruction and a critical aspect of any curriculum. We try to focus attention on the less interested students as well as the motivated ones. We use rewards, house points, stickers, praise. However, many students demonstrate intrinsic motivation in their desire to understand a topic or concept (task-related), and they enjoy outperforming others (ego-related), or they just want to impress others (social-related). We think our own genuine interest and excitement in the topics goes a long way to enthusing students.

数学教学的最重要的一个方面是激励学生去主动学习，这也是学习任何学科的关键。我们给予每一位学生同样多的关注度，并通过使用奖励、学院积分、贴纸和表扬鼓励等方式来激励学生。同时我们也发现，许多学生们往往有非常强烈的内在动机，例如他们渴望理解一个主题或原理（任务型导向），或他们想要表现出众（自我型导向），或者他们想让同辈对他们刮目相看（社会型导向）。作为数学老师，我们对数学的热爱和兴趣也能发挥言传身教的作用，以自身为榜样来激发学生们的学习兴趣十分重要。

If a student is struggling with mathematics, it can be a challenge to get them the help they need. The first step is to determine where the issue lies. Is he or she lacking foundational skills? Is it a particular concept like decimals, fractions or graphing? Once we know where the problem lies, we can better tailor the kind of supplemental material that we can use. It’s no secret children love to play so we utilise this.  There are tons of online games that help students master math skills such as counting money, telling time, addition, subtraction, multiplication, division and more.

如果学生在数学学习中遇到困难，那么获得合适的帮助或许也并不容易。第一步是要确定问题出在哪里，例如学生是否是基础知识和技能不过关？还是小数、分数或制图的特定方面有知识漏洞？一旦找出问题的根源，我们就可以更好地调整和利用补充材料来帮助学生。我们都知道，孩子们喜欢游戏，所以我们很好地利用了这一方面，使用丰富的在线数学游戏帮助学生们更牢固地掌握数学知识和技能，例如数钱、报时、加减乘除运算小游戏等。

Believe it or not, reading comprehension plays a big role in math, especially when students get into word problems. If a student doesn’t understand the question being asked, there is no way they will be able to work out the problem and provide a correct answer. Ensuring that our students have solid comprehension skills can help improve their math skills, we spend some part of every lesson consolidating new vocabulary and using it as often as possible to embed its meaning. Additionally, we believe it’s always a good idea to have students read the question several times, and even break it down into parts for multi-step problems.

许多人还没有意识到阅读理解在数学中起着重要作用，特别是数学题目是一大段文字的时候。如果学生不理解题目，那么他们就不可能找到正确的方法来解决难题。在佛山霍利斯，我们会帮助学生提升理解能力，从而帮助他们提升数学能力，例如我们每节课都会利用一部分时间让学生们巩固新词汇，理解词汇在语境中的运用。此外，对于复杂的题目，我们会建议学生们多读几次题目，把题目分段理解，这种做法很有帮助。

The mathematics department also believes in using visual aids: This strategy can be especially helpful for visual learners and kinesthetic learners who learn by observing and doing. Posters, videos, or manipulatives like toys, candy or cereal pieces, can help bring concepts to life. In addition, having student’s colour and draw when learning geometry and fractions can be very helpful as well.

数学学科团队也会使用视觉辅助工具，这对视觉学习者和动觉学习者特别有帮助，例如海报、视频、玩具、糖果或麦片等物体，可以帮助我们更好地在生活中解释数学概念。此外，在学习几何和分数时，填色和绘画也有很大的帮助作用。

The mathematics department aims to enrich the mathematical experiences of all learners. To support this aim we encourage students to use activities such as games, websites, and competitions to further their experiences.

佛山霍利斯数学学科团队希望能够尽量丰富学生们的数学学习体验，途径之一是鼓励学生充分利用数学游戏、网络资源和参加数学竞赛等活动。例如: 

Broadly speaking the students will follow the National Curriculum set out in the UK.

霍利斯的数学课程大纲参照英国国家课程指南设置。

The principal focus of mathematics teaching in Year 4 and 5 is to ensure that pupils become increasingly fluent with whole numbers and the 4 operations, including number facts and the concept of place value. This should ensure that pupils develop efficient written and mental methods and perform calculations accurately with increasingly large whole numbers. At this stage, pupils should develop their ability to solve a range of problems, including with simple fractions and decimal place value. Teaching should also ensure that pupils draw with increasing accuracy and develop mathematical reasoning so they can analyse shapes and their properties, and confidently describe the relationships between them. It should ensure that they can use measuring instruments with accuracy and make connections between measure and number.

4-5年级的数学教学重点是确保学生们熟练掌握整数和四则运算，包括数理和位值的概念，培养学生的书面写作能力和思维方式，并帮助他们学会准确进行位数较大的整数计算。在此阶段，学生能够进一步锻炼他们解决问题的能力，包括简单的分数和小数。在绘图方面，学生们将不断提升他们的制图技巧，准确使用测量仪器和绘图。学生们的数学推理能力也在个阶段得到增强，并能够分析几何形状和它们的属性。

In Year 6 – 9, much time is spent honing number skills and investigating patterns in numbers and shape. Whilst skills and competence are essential, the core aim is for students to appreciate and understand why these skills are important and how and when they will be used. Algebra is introduced and used to help solve more complex problems.

在6-9年级，我们将利用大量时间锻炼和发展学生的数字能力，研究数字和几何形状。数学技巧和能力固然重要，但我们的核心目标是让学生们理解和欣赏到这些能力的重要性，以及学会在合适的时候，运用恰当的方法运用这些技能。在此阶段，学生们也会开始学习代数，并利用代数来解决更复杂的问题。

In Year 10 – 11, time is spent investigating patterns in numbers and shape. Whilst skills and competence are essential in number, algebra, shape and data analysis the most important aim is for students to appreciate and understand why these skills are essential and how and when they will be used. Algebra skills are developed and used to help solve more complex problems.

在IGCSE阶段（10-11年级），学生们将会研究数字和几何形状。我们注重培养学生们在数字、代数、几何形状和数据分析方面的技巧和能力，并帮助他们理解和欣赏这些技能的重要性，更重要的是学会灵活运用。在这阶段，学生的代数能力进一步得到提升，对于更加复杂的问题也能得心应手。

At LEH Foshan every day is different, every lesson brings new challenges and rewards, every conversation puts a different slant on the lesson and the learning. My goal is to instil a love of mathematics, to cultivate a mindset of enquiry and genuine interest in how mathematics is used in all areas of our life. I enjoy teaching and I recognise myself to be a lifelong learner. My goal is to keep on learning and to keep having fun doing so. The main objective of any teacher is to develop a skill to stimulate experience by the creation of an emotional atmosphere. I hope to develop a capacity to do, observe, infer and to generalise.

在佛山霍利斯，每一天都是不同的，每一堂课都会带来惊喜的挑战和收获，每一次交谈都会给课程和学习带来全新的想法和视角，这就是我喜欢在这里教学的原因。我的目标是培养学生对数学发自内心的热爱，让他们能在日常生活的每个角落发现数学、感受数学的魅力。我喜欢教学，我将自己定义为一个终身学习者。我的目标是不断学习，并在学习中不断获得乐趣。对于每一位教育工作者，我相信我们的目标是一致的，就是通过创造一个积极、愉悦的学习环境，激发学生的内驱力，让他们充分享受学习的过程。我也希望能够不断增强自己实践、观察、推理和归纳的能力。

Teaching mathematics is all about exploring and looking to solve problems. There are always new ideas to discover, and different methods to use and adapt. Competition is a great way to encourage students to think outside of the box and also for them to see excellence in the form of other students and different approaches. A really good mathematician is creative, does not stick rigidly to learnt methods, and is not afraid to fail in order to succeed by looking at other paths of possible solutions.

数学教学是关于探索和寻找解决问题的方法，有许许多多的想法值得我们去探索，有许许多多的方法值得我们去发现和尝试。竞争是鼓励学生跳出固有思维的有效方法之一，这能让他们看到其他学生的巧思或其他方法的妙处。一个真正的优秀的数学家是具有创造力的，不拘泥于所学的方法，也不畏惧失败，积极探寻不同的方法来成功解决问题。

Mathematics is the most popular subject choice at A-Level, and it’s clear to see why. Maths can play an integral part of many careers, and can provide numerous opportunities, both academically and career-wise. As technology continues to advance, so too does Mathematics, increasing its essential role in both every day and corporate life. New mathematical theories are being discovered and developed every day, enabling inventions and scientific discoveries to continue to flourish. By studying Mathematics at A-Level, you will have the opportunity to forge a career that is at the forefront of technological advancement.

数学是A-Level考试中最受欢迎的科目之一，而原因很显浅：这门学科在许多职业中发挥不可或缺的作用，并且可以在学术上和职业上提供许多不同机会。随着科学技术的不断发展，数学也在不断进步，在工作和日常生活中的作用越来越重要。每一天都有新的数学理论被发现和突破，这些新的理论让科学技术和发明创新保持蓬勃发展。通过学习A-Level数学，学生们有丰富机会在最前沿的科技行业开创一番事业。

In the Mathematics Department we recognise how important it is for children to learn mathematics and understand mathematical concepts. Some students are gifted and can pick up on maths and math concepts quite easily. Other students, including the verbally gifted may have a harder time. 

作为数学老师，我们认为学习数学以及理解数学的概念对学生们来说尤其重要。有一些学生很有天赋，可以很快理解一些数学问题，而有些学生则可能需要多花费一点时间。

Fiction books based on maths are perfect for both kinds of students. They will enjoy the stories, wordplay, and riddles, and since the maths concepts are presented in story form, they can find it easier to understand the concepts.

以下这些关于数学的虚构类小说对上述两类学生们来说都是非常合适的，作者们通过故事、文字游戏以及谜语等方式来呈现数学概念，通俗易懂，便于学生们理解。

• Kakuro, also called “Cross Sums,” is another mathematical crossword puzzle. Players must use the numbers one through nine to reach “clues” on the outside of the row

  
  

  数和（Kakuro）游戏 - 每道谜题都由一个空白网格组成，该网格中散布着很多代表数字之和的提示数字。游戏目的是用数字1-9将所有空白方格填满，使得每一水平方格区所填数字之和等于其左侧的提示数字，而每一垂直方格区所填数字之和等于其上方的提示数字。

• 移动3根火柴（不能重叠放置），让鱼转向另一边。