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上海莱克顿学校:莱克顿的数学课

2020-10-30

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一、“数学环”游戏在课堂上的巧用


我的十一年级学生们很喜欢在课堂上做一些数学游戏,比如:bingo游戏、kahoo.it和数学环,这些是他们最喜欢的几项。


上周五,我们用数学环游戏练习了“正弦定理和余弦定理“的知识点,学生们乐在其中的同时,得到了大量的练习。


游戏的规则是:每套卡片有12张,每组两名同学共用一套。每张卡片上都有一个关于这个知识点的问题,每张卡片上有一个问题和一个答案。该卡片上的问题在另一张卡片,当然,该卡牌上的答案,也对应着其他卡牌上的问题。学生们要通过问题,找到答案所在的卡片,如此,将卡片一一对应,这样,问题卡和答案卡会形成一个链,链构成一个环。最先组成环的人赢得比赛。


在上周五的课上,我把学生分成了11个小组。两三个学生为一组。在活动中,他们互相合作寻找答案。很快,Tim和他的搭档Tony最先正确地完成了他们的数学环。Karen和Aily排名第二,Bowen和Locus排名第三。


下课后,Karen说:“学术环是一种重复训练正弦规则和余弦规则的形式,当我算出答案,并在桌子上完成一个完整的环时,我很开心。”

Tony说:“这种学习方法非常有趣。我更喜欢用这种方式来学习知识。”

Tim说:“我喜欢这个游戏,它很有趣。这款游戏很有创意,可以展现不同类型的问题。”

Cathy说:“非常棒。它可以使我们的计算能力更高效,通过这种实践,我们的数学将会更好。”

Mary说:“它激发了我们对数学的兴趣,同时也锻炼了我们的大脑。”

Elise说:“我想要更多这样的游戏,因为它可以让我们练习在课堂上学到的东西,也可以在游戏中相互合作。

Jerry Li 

Maths Teacher 数学老师

1. Mathloop used in the class


My Year 11 students often enjoy a lot of math activities in the class, such as playing bingo, kahoo.it and mathloops, which are the ones that they like most.


Last Friday, we played mathloops to practice the topic “Sine Rule & Cosine Rule”, they practiced a lot and at the same time they enjoyed themselves as well.


There are 12 cards for one set, each group of two students share one set. On each of these 12 cards, there is a question about this topic. On each of the card, there is a question and an answer. But the answer to the question in this page is in another card. The candidate should work out the answer to the question and find the card on which there is a same answer to match. The question card and its answer card form a chain and the chains form a loop. Those who form the loop first win the game.


In last Friday’s class, I separated the students into 11 groups. Two or three students stayed in one group. During the activity, they cooperated with each other to find the answers. Soon Tim and his partner Tony finished their mathloop correctly at the first time. Karen and Aily ranked the second, Bowen and Locus ranked the third.


After class, Karen said, “Mathloop is a repeated form of training the sine rule and the cosine rule and I’m enjoyed when I figured out the answer and make it a complete loop on the table.”

Tony said, “This way to learn is very interesting. I prefer to use this way to learn the knowledge.”

Tim said: “I like the game, it is very interesting. It is creative and different types of questions can be shown in this game.”

Cathy said:” It’s very good. It can make our calculation ability more efficient and our math will be better through this kind of practice.”

Mary commented that” It stimulate us students’ interest in mathematics and practice our brain as well.”

Elise said: ‘I want more of these kinds of games, because it can let us practice what we learned during the class and we can cooperate with each other during the games as well.”


二、课程小结


本学期,十年级学生开始了他们激动人心的IGCSE数学学习之旅。他们学会了如何用英语表达数学专有名词,并在代数和几何学方面打下了基础。他们知道什么是代数表达式,并能够简化和分解代数表达式。他们也熟悉方位,三角形和四边形的类型和它们的性质。现在他们正在研究统计学领域,即数据处理。希望他们能享受并开始了解我们周围的世界。


今年对所有的十一年级学生来说都是非常关键的一年。他们将在本学年结束时参加IGCSE考试。从学期伊始,我们就不断前进。学生探索了关于函数和图形,三角函数和三维图形的知识。在两周前的期中考试中,十年级课程中的所涵盖的知识都在题目中考查过了。学生们已经收到了他们的成绩并做了分析。他们应该对下一步的学习有一个清晰的计划,以取得更高的分数。


对于大多数12年级的学生来说,他们在学期开始时就收到了令人满意的IGCSE成绩。这学期他们开始了A Level数学课程的挑战之旅。在这个过程中,他们将探索更多关于函数、坐标几何和微积分的知识。此外,学生们将学习如何应用他们的数学知识来解决现实世界的问题(它们是统计学和力学,我们称为应用数学)。我们还有6名学生选择了A Level的进阶数学。这门课难度大得多,但是对于那些想学习理工科的学生,这门课程可以帮助他们为未来大学的学习生活做好充分的准备。

Yiqing Chen

Maths Teacher 数学老师

2. Maths Report


Year 10 students started their exciting IGCSE math learning journey in this term. They learned how to express the mathematical proper nouns in English, and developed a basic foundation in algebra and geometry. They know what an algebraic expression is and have been able to simplify and factorise algebraic expressions. They also have been familiar with bearings, the types of triangles and quadrilaterals and their properties. Now they are exploring the area in statistic which is to handle the data. Hope they enjoy and begin to understand the world around us.


This year is quite crucial to all Year 11 students. They will take IGCSE exams at the end of this academic year. From the beginning of the term, we kept moving on. Students have explored the knowledge in functions and graphs, trigonometry and 3D shapes. In the mid-term exams two weeks ago, all the topics covered from Year 10 have been tested. The students have received their results and did their analysis. They should have a clear plan for the next step to achieve a higher grade.


For most Year 12 students, they received their IGCSE results which are good and satisfying in math at the beginning of the term. This term they started a challenging journey in A Level math. In this journey, they are going to explore more about functions, coordinate geometry and calculus. In addition, the students are going to learn how to apply their math knowledge to solve real world problems (they are statistics and mechanics, and we call them Applied Math.) We also have six students who chose A Level Further Math. This course is much more difficult but definitely will help students get well-prepared to their study at the university, especially for those students who would like to study in science and engineering.


三、突破传统的数学课


数学是一门很有趣的学课!它就像是一个花园,在外面观望时,平平无奇,而当你置身其中,就会发现一个绮丽的数学世界!


在莱克顿,我们打破了传统的“听老师讲”的授业模式。我们会充分调动学生的求知欲,让学习数学成为一种快乐的体验,使学生能够在现有的知识基础上积极构建新的数学知识。


例如,练习数学题是巩固所学知识和形成技能的必要方法,并且是教学的重要组成部分。但是问题的传统形式和内容缺乏激发学生学习兴趣的刺激。因此,我们设计了不同类型和级别的练习,从基本的模拟课堂练习到可以扩展数学思维能力的问题,学生可以尝试不同程度的习题。这样,我们可以使学生在学习中保持兴趣。

Cecile Wang

Maths Teacher 数学老师

3. Break the traditional maths class


Mathematics is intriguing! It’s like a garden, when you look from outside, you may not find anything. When you walk in, you will find a beautiful mathematic world!


In Lucton, we broke the traditional ‘listen to the teacher’ mode. We fully mobilize students' knowledge, and make math study a happy experience for students to actively construct new math knowledge based on their existing one.


For example, practicing math questions is a necessary way to consolidate the knowledge learned and form skills, and it’s an important part of teaching. But the traditional form and content of questions lack the stimuli to draw students’ learning interests. Therefore, we have designed different types and levels of exercises, from the basic imitative class exercises to questions which can stretch mathematical mind. Students may try different levels of exercise. In this way, we keep students interesting in learning.



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