佛山埃莉諾霍利斯國際學(xué)校 | 實踐中學(xué)習數(shù)學(xué)，探索霍利斯數(shù)學(xué)課

來源：好上學(xué) ??時間：2024-02-18

佛山霍利斯運用數(shù)學(xué)技能和原理，幫助學(xué)生認識世界激發(fā)學(xué)生們在現(xiàn)實世界中運用數(shù)學(xué)的興趣和樂趣。

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，我們相信數(shù)學(xué)技能和原理是幫助學(xué)生認識世界的重要基石，并希望喚起和激發(fā)學(xué)生們在現(xiàn)實世界中運用數(shù)學(xué)的興趣和樂趣。

在實踐中學(xué)習

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).

佛山霍利斯的課堂鼓勵學(xué)生們在實踐中學(xué)習。我們的首要目標是將學(xué)生們培養(yǎng)成為對未來充滿信心并具有專業(yè)能力的小數(shù)學(xué)家。學(xué)習內(nèi)容固然重要，但學(xué)習的方式更加關(guān)鍵。學(xué)生們從研究、探索、討論、解決問題的不同實踐環(huán)節(jié)中學(xué)習?；衾沟臄?shù)學(xué)老師們善于通過正負強化（行為主義）、問題解決（認知主義）和探究型學(xué)習（建構(gòu)主義）進行數(shù)學(xué)教學(xué)。

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.

我們堅信，如果在探究型學(xué)習中納入系統(tǒng)性問題，學(xué)生更容易獲得達成學(xué)習目標。因此，霍利斯更加重視教學(xué)的方法，包括減少枯燥重復(fù)式教學(xué)，倡議學(xué)生主導(dǎo)課程，增加討論活動的比例。數(shù)學(xué)學(xué)科團隊認為，解決問題和探究型學(xué)習不但能幫助學(xué)生更好掌握數(shù)學(xué)知識，還能幫助學(xué)生們在面對生活挑戰(zhàn)時發(fā)揮更高水平的創(chuàng)造力。

多元方法激勵學(xué)生

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.

數(shù)學(xué)教學(xué)的最重要的一個方面是激勵學(xué)生去主動學(xué)習，這也是學(xué)習任何學(xué)科的關(guān)鍵。我們給予每一位學(xué)生同樣多的關(guān)注度，并通過使用獎勵、學(xué)院積分、貼紙和表揚鼓勵等方式來激勵學(xué)生。同時我們也發(fā)現(xiàn)，許多學(xué)生們往往有非常強烈的內(nèi)在動機，例如他們渴望理解一個主題或原理（任務(wù)型導(dǎo)向），或他們想要表現(xiàn)出眾（自我型導(dǎo)向），或者他們想讓同輩對他們刮目相看（社會型導(dǎo)向）。作為數(shù)學(xué)老師，我們對數(shù)學(xué)的熱愛和興趣也能發(fā)揮言傳身教的作用，以自身為榜樣來激發(fā)學(xué)生們的學(xué)習興趣十分重要。

數(shù)學(xué)并不可怕

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.

如果學(xué)生在數(shù)學(xué)學(xué)習中遇到困難，那么獲得合適的幫助或許也并不容易。第一步是要確定問題出在哪里，例如學(xué)生是否是基礎(chǔ)知識和技能不過關(guān)？還是小數(shù)、分數(shù)或制圖的特定方面有知識漏洞？一旦找出問題的根源，我們就可以更好地調(diào)整和利用補充材料來幫助學(xué)生。我們都知道，孩子們喜歡游戲，所以我們很好地利用了這一方面，使用豐富的在線數(shù)學(xué)游戲幫助學(xué)生們更牢固地掌握數(shù)學(xué)知識和技能，例如數(shù)錢、報時、加減乘除運算小游戲等。

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.

許多人還沒有意識到閱讀理解在數(shù)學(xué)中起著重要作用，特別是數(shù)學(xué)題目是一大段文字的時候。如果學(xué)生不理解題目，那么他們就不可能找到正確的方法來解決難題。在佛山霍利斯，我們會幫助學(xué)生提升理解能力，從而幫助他們提升數(shù)學(xué)能力，例如我們每節(jié)課都會利用一部分時間讓學(xué)生們鞏固新詞匯，理解詞匯在語境中的運用。此外，對于復(fù)雜的題目，我們會建議學(xué)生們多讀幾次題目，把題目分段理解，這種做法很有幫助。

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.

數(shù)學(xué)學(xué)科團隊也會使用視覺輔助工具，這對視覺學(xué)習者和動覺學(xué)習者特別有幫助，例如海報、視頻、玩具、糖果或麥片等物體，可以幫助我們更好地在生活中解釋數(shù)學(xué)概念。此外，在學(xué)習幾何和分數(shù)時，填色和繪畫也有很大的幫助作用。

數(shù)學(xué)也能充滿樂趣！

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.

佛山霍利斯數(shù)學(xué)學(xué)科團隊希望能夠盡量豐富學(xué)生們的數(shù)學(xué)學(xué)習體驗，途徑之一是鼓勵學(xué)生充分利用數(shù)學(xué)游戲、網(wǎng)絡(luò)資源和參加數(shù)學(xué)競賽等活動。

UKMT 2022 英國數(shù)學(xué)競賽

The intermediate mathematics challenge took place during Chinese New Year. Lots of our students put their holiday on hold and came into school to try the challenge. The maths department was impressed by them all and congratulate them on attempting some very complex questions. The winners of the event are Hiroshi (Bronze), Yutaka (Bronze), Winnie (Silver) and Ethan (Gold)!

英國數(shù)學(xué)協(xié)會在我們的農(nóng)歷新年期間舉行了中級數(shù)學(xué)競賽。許多學(xué)生都利用節(jié)假日時間回到學(xué)校參加挑戰(zhàn)，嘗試去解決一些非常復(fù)雜的數(shù)學(xué)難題，他們的積極參與讓數(shù)學(xué)學(xué)科團隊感到十分欣慰。恭喜以下同學(xué)獲得獎項：Hiroshi（銅獎）, Yutaka （銅獎）, Winnie（銀獎）以及Ethan（金獎）!

The Mathematics Department have been encouraging students to play www.nerdle.com every day and to download nonogram. These are 10-minute activities which increases students use of mental maths and logic to solve a number statement.

數(shù)學(xué)科組鼓勵學(xué)生們每天參與數(shù)學(xué)挑戰(zhàn)游戲。通過每天10分鐘的小游戲，學(xué)生可以學(xué)習如何通過心算和邏輯思考解決數(shù)學(xué)問題。

Celebrating Mathematics 慶祝數(shù)學(xué)

Pi (π) Day which took place on Monday 14 March was a great success with students from all year groups reciting or writing Pi to as many decimal places as they could. During the Computer science lesson Year 10 made a program to check the digits for pi as they were input, a real example of cross curricular work, well done!

3月14日學(xué)校舉行了“圓周率日”活動，所有學(xué)生都積極地參與其中，并盡可能多地背誦或默寫π的小數(shù)位。10 年級的學(xué)生們在計算機科學(xué)課堂上還制作了一個程序來檢查輸入的數(shù)字與π的小數(shù)位是否匹配，這是跨課程合作非常好的例子，我為他們感到驕傲！

The winners are: Simon, Ethan, Mei, Tina (Yr 6), who all wrote over 100 digits. A special mention to Guim who recited over 50 digits without writing them down. Other excellent attempts were Issam, Suki, Tai, Nicole, and Yen Yung. All participants received house points.

本次活動的獲勝者是：Simon、Ethan、Mei、Tina(Y6)，他們都默寫到了π小數(shù)點后的一百位！除此之外，Guim可以直接背誦出小數(shù)點后50位。其他優(yōu)秀參與者包括：Issam、Suki、Tai、Nicole和Yen Yung。所有參加了本次比賽的學(xué)生都為自己的學(xué)院贏得了相應(yīng)的積分。

純正英式課程大綱

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

霍利斯的數(shù)學(xué)課程大綱參照英國國家課程指南設(shè)置。

Year 4 - 5

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年級的數(shù)學(xué)教學(xué)重點是確保學(xué)生們熟練掌握整數(shù)和四則運算，包括數(shù)理和位值的概念，培養(yǎng)學(xué)生的書面寫作能力和思維方式，并幫助他們學(xué)會準確進行位數(shù)較大的整數(shù)計算。在此階段，學(xué)生能夠進一步鍛煉他們解決問題的能力，包括簡單的分數(shù)和小數(shù)。在繪圖方面，學(xué)生們將不斷提升他們的制圖技巧，準確使用測量儀器和繪圖。學(xué)生們的數(shù)學(xué)推理能力也在個階段得到增強，并能夠分析幾何形狀和它們的屬性。

Year 6 - 9

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年級，我們將利用大量時間鍛煉和發(fā)展學(xué)生的數(shù)字能力，研究數(shù)字和幾何形狀。數(shù)學(xué)技巧和能力固然重要，但我們的核心目標是讓學(xué)生們理解和欣賞到這些能力的重要性，以及學(xué)會在合適的時候，運用恰當?shù)姆椒ㄟ\用這些技能。在此階段，學(xué)生們也會開始學(xué)習代數(shù)，并利用代數(shù)來解決更復(fù)雜的問題。

Year 10 - 11, IGCSE

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階段（10-11年級），學(xué)生們將會研究數(shù)字和幾何形狀。我們注重培養(yǎng)學(xué)生們在數(shù)字、代數(shù)、幾何形狀和數(shù)據(jù)分析方面的技巧和能力，并幫助他們理解和欣賞這些技能的重要性，更重要的是學(xué)會靈活運用。在這階段，學(xué)生的代數(shù)能力進一步得到提升，對于更加復(fù)雜的問題也能得心應(yīng)手。

Year 12 - 13, A Level

A Level or Year 12 – 13 will be introduced from the academic year 2022-23 and will build on student’s previous knowledge and skills learnt. This is why the basics have to be in place. A-Level Mathematics is thus a subject which deals with abstract structures. Some of these arise in scientific theories, while others are familiar from everyday life; a few are studied by mathematicians purely for their intrinsic beauty.

在A Level階段（12-13年級），我們的學(xué)生將會進一步鞏固他們所學(xué)的知識和技能，這就是我們在前面的學(xué)習階段非常注重基礎(chǔ)知識的原因。A Level數(shù)學(xué)包括抽象的數(shù)理知識，一些是在科學(xué)理論中常常用到的，一些則與我們的日常生活息息相關(guān)，還有一些則是純粹為了探究數(shù)學(xué)之美。

數(shù)學(xué)學(xué)科團隊

Mrs Kirk

Head of Faculty 數(shù)學(xué)學(xué)科主任

Over 35 years of teaching experience in UK, Colombia, Spain, Dubai, Thailand, China

超過35年任教經(jīng)驗，曾在英國、西班牙、哥倫比亞、迪拜、泰國和中國任教

University of Exeter, UK and McGill, Canada

教育背景：英國?？巳卮髮W(xué)和加拿大麥吉爾大學(xué)

Associate examiner Pearson A Level mathematics

培生愛德思 A Level 數(shù)學(xué)學(xué)科資深考官

COBIS Peer assessor

英國國際學(xué)校理事會同行評估員

Miss Pritchard

Teacher of Mathematics 數(shù)學(xué)教師

Over 5 years teaching experience

超過5年教學(xué)經(jīng)驗

Trained and worked at an outstanding school in UK

曾在英國頂尖學(xué)校接受培訓(xùn)和工作

De Montfort University, University of Warwick

英國德蒙福特大學(xué)、華威大學(xué)

Completed accelerate programme for young and talented teachers by Department of Education

參與并通過英國教育部為年輕優(yōu)秀教師制定的菁英計劃

Completed the Outstanding Teacher Practice by OLEVI

參與并完成英國OLEVI的優(yōu)秀教師實踐項目

了解Mrs Kirk

Q1：What do you love about your job at LEH Foshan? What are your personal goals and professional goals?

在佛山霍利斯教學(xué)，您最喜歡哪些地方？您的個人目標和職業(yè)目標是什么呢？

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，每一堂課都會帶來驚喜的挑戰(zhàn)和收獲，每一次交談都會給課程和學(xué)習帶來全新的想法和視角，這就是我喜歡在這里教學(xué)的原因。我的目標是培養(yǎng)學(xué)生對數(shù)學(xué)發(fā)自內(nèi)心的熱愛，讓他們能在日常生活的每個角落發(fā)現(xiàn)數(shù)學(xué)、感受數(shù)學(xué)的魅力。我喜歡教學(xué)，我將自己定義為一個終身學(xué)習者。我的目標是不斷學(xué)習，并在學(xué)習中不斷獲得樂趣。對于每一位教育工作者，我相信我們的目標是一致的，就是通過創(chuàng)造一個積極、愉悅的學(xué)習環(huán)境，激發(fā)學(xué)生的內(nèi)驅(qū)力，讓他們充分享受學(xué)習的過程。我也希望能夠不斷增強自己實踐、觀察、推理和歸納的能力。

Q2：You have over 30 years of teaching experience and led students to join competitions such as SEAMC and the UK's Maths Feast. What do you think is the most important when teaching Mathematics?

您有著30多年的教學(xué)經(jīng)驗，曾經(jīng)帶領(lǐng)很多孩子參加SEAMC、英國數(shù)學(xué)盛宴等競賽。在您看來，您覺得數(shù)學(xué)的教學(xué)最重要的什么？學(xué)好數(shù)學(xué)需要具備什么樣的能力？

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.

數(shù)學(xué)教學(xué)是關(guān)于探索和尋找解決問題的方法，有許許多多的想法值得我們?nèi)ヌ剿?，有許許多多的方法值得我們?nèi)グl(fā)現(xiàn)和嘗試。競爭是鼓勵學(xué)生跳出固有思維的有效方法之一，這能讓他們看到其他學(xué)生的巧思或其他方法的妙處。一個真正的優(yōu)秀的數(shù)學(xué)家是具有創(chuàng)造力的，不拘泥于所學(xué)的方法，也不畏懼失敗，積極探尋不同的方法來成功解決問題。

Q3：As an A-Level Examiner, what are the strength of the School’s A Level curriculum?

您曾經(jīng)是A Level考試考官。在您看來， A Level具有什么樣的特點跟優(yōu)勢？

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.

數(shù)學(xué)是A-Level考試中最受歡迎的科目之一，而原因很顯淺：這門學(xué)科在許多職業(yè)中發(fā)揮不可或缺的作用，并且可以在學(xué)術(shù)上和職業(yè)上提供許多不同機會。隨著科學(xué)技術(shù)的不斷發(fā)展，數(shù)學(xué)也在不斷進步，在工作和日常生活中的作用越來越重要。每一天都有新的數(shù)學(xué)理論被發(fā)現(xiàn)和突破，這些新的理論讓科學(xué)技術(shù)和發(fā)明創(chuàng)新保持蓬勃發(fā)展。通過學(xué)習A-Level數(shù)學(xué)，學(xué)生們有豐富機會在最前沿的科技行業(yè)開創(chuàng)一番事業(yè)。

數(shù)學(xué)科組推薦書單

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.

作為數(shù)學(xué)老師，我們認為學(xué)習數(shù)學(xué)以及理解數(shù)學(xué)的概念對學(xué)生們來說尤其重要。有一些學(xué)生很有天賦，可以很快理解一些數(shù)學(xué)問題，而有些學(xué)生則可能需要多花費一點時間。

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.

以下這些關(guān)于數(shù)學(xué)的虛構(gòu)類小說對上述兩類學(xué)生們來說都是非常合適的，作者們通過故事、文字游戲以及謎語等方式來呈現(xiàn)數(shù)學(xué)概念，通俗易懂，便于學(xué)生們理解。

一起動動腦筋

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

數(shù)和（Kakuro）游戲 - 每道謎題都由一個空白網(wǎng)格組成，該網(wǎng)格中散布著很多代表數(shù)字之和的提示數(shù)字。游戲目的是用數(shù)字1-9將所有空白方格填滿，使得每一水平方格區(qū)所填數(shù)字之和等于其左側(cè)的提示數(shù)字，而每一垂直方格區(qū)所填數(shù)字之和等于其上方的提示數(shù)字。