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BIS Math | MYP - Problem Solving Skill that Transcend Discip

发布时间:2022-01-24 13:45:09 人气: 作者:admin 人已围观本文有578个文字,大小约为2KB,预计阅读时间2分钟

In BIS, the Mathematic course in Secondary School is designed to encourage students to apply their mathematical knowledge in solving abstract problems as well as those set in a variety of meaningful contexts.
 
在波士顿国际学校中学部,数学课程的设计旨在培养学生运用数学知识解决问题的同时将数学运用到实际生活中。
 
 
As an IB continuum school, we offer math courses under the framework of IB MYP, while delivering them with the guidance of Springboard Mathematics.
 
Both IB and Springboard underline inquiry and application in mathematic studies, helping students to develop problem solving techniques that transcend the discipline and engage students with real-world connections.
 
作为一所IB一贯制学校,我们在IB MYP的课程目标导向下运用Springboard数学作为课程大纲进行施教。
 
IB和Springboard都十分强调数学知识和应用两个方面,帮助培养学生的问题解决能力,并将所学知识运用到其他学科和真实的生活情境之中。
 
 
Therefore, instead of traditional mathematics classes with teachers teach and students practicing, in BIS, the pedagogy goes quite different. In this video, we have had the opportunity to observe different classes and talk with different students, showing us their approaches to learning Mathematics.
 
因此,我们的数学教学法有别于传统的老师教授、学生练习的模式,而是走向了多种教学方式的融合。这个视频中,我们走进了不同的数学课堂,并邀请了几位学生与我们分享了他们的数学学习。
 
 
G9 students have just finished a summative assessment for the unit of linear function, linear graphs case of bivariate statistics. Student were required to write a math essay independently from real life situation where the temperature on each planet depend on how far the planets is from the sun.
 
G9学生完成了线性函数、双变项统计单元的学习,他们的单元终结性评价是独立完成一篇数学论文,将数学知识运用到实际生活的探究中。他们选择的主题是“研究每个行星的温度和与太阳的距离之间的关系”。
 
 
Essay writing is one of the basic skills students must master during their IB study in a very early stage. Writing mathematics essays is the perfect opportunity for students to understand the knowledge and creatively apply what they have learned to a real-life context. It requires source processing, researching, stating hypotheses, calculating and verifying the hypotheses. The assignment prepares solid knowledge and skill foundation for students’ study in higher levels.
 
论文写作是IB学生从小锻炼并必须掌握的技能之一。而数学论文能够很好地让学生在巩固知识的同时创造性地应用知识。论文撰写过程包括了原始数据的调查、收集、整理;提出假设、计算和验证假设。这也为学生更高层次的学习奠定了知识和技能的基础。
 
 
 
 
Before stepping into DP, students will have to complete their Personal Project as a conclusion to their MYP studies. The Personal Project is an opportunity for students to indulge a passion and demonstrate the skills that they have developed through approaches to learning. During her G10 year, this current G12 student chose the topic of the Golden Ratio in Suzhou gardens, which also contains a lot of Mathematics observations and calculations.
 
在进入DP学习阶段之前,MYP学生都要完成个人项目并作为MYP的毕业成果进行展示。个人项目能够让学生深挖自己的兴趣,展示自己的学习。这位G12的学生向我们展示了她在G10期间所做的个人项目,主题是“苏州园林中的黄金分割”。这个项目中包含了大量的数学观察与计算。
 
 
As the transdisciplinary nature of IB, in an IB school you can see students display their learning in all forms. Mathematics learning also shows its interdisciplinary connection with Arts. G7 General Math students are studying the unit of Expressions and Equations.
 
IB的特点之一是跨学科学习,在IB学校中,随处可见学生以各种形式展示自己的学习成果。而数学学习也可以与艺术产生跨学科的互动。G7的通用数学课上,学生们正在学习公式和等式。
 
Students were required to design a poster in groups to sort out some inquiries like:
 
他们需要以小组合作的形式完成一张海报,并解释以下问题:
 
 
 
How can I simplify the given expression?
 
如何简化这个等式?
 
 
 
What is the fraction in this prompt?
 
这个问题中的分数是什么?
 
 
 
What is the numerator?
 
分子是什么?
 
 
 
What is the denominator?
 
分母是什么?
 
 
 
What is meant by square number?
 
平方数的意义是什么?
 
 
 
How many terms are there in this expression?
 
这个等式中有多少项?
 
 
 
If I switch the terms, will I get different answers?    
 
如果我换掉一项,答案是否会有所不同?
 
Through the process, the students can not only consolidate their learning, but also learning from other perspectives during collaboration. They will develop creative thinking skills, ultimately going beyond problem solving in math and getting to know what they are learning and why they are learning.
 
在制作海报的过程中,学生们不仅能够巩固自己所学的知识,还能通过团队合作了解其他同学的思路,培养自己的创造力,并最终学会学习。
 
 
G10 – Math Presentation
 
G10——数学演讲
 
We also emphasis students’ presentation skills. Some of our G10 students studied the axiomatic system, Geometry. Through a series of inquiries and investigations, students solve trigonometric functions, extend knowledge of characteristics of angles, parallel lines, perpendicular lines, explore practical applications, and explain their reasoning process from start to finish. 
 
我们同样重视培养学生的研究能力。G10的部分学生学习了几何中的公理系统。通过一系列探索和学习,他们求解了三角函数,学习了各种角、平行线、垂直线的特点,探索了实际应用,解释自己的解题思路。
 
In an assessment lesson, the G10 students take turns to be a teacher, explaining their solutions to a mathematics problem to their classmates. 
 
在这节评价课上,G10的学生们轮流充当老师的角色,向同学们演示自己的解题思路和过程。
 
 
 
AP微积分
 
Except for IB MYP, BIS also offers AP Calculus in high school from G9. An AP course in calculus consists of a full high school academic year of work that is comparable to calculus courses in colleges and universities. Students who take an AP course in calculus will seek college credit, college placement, or both, from institutions of higher learning.
 
除了IB MYP课程外,我们还向高中部学生提供AP微积分课程。AP微积分课程学时一年,难度相当于大学微积分课程的难度。选择AP课程的学生可以通过AP考试来获得未来大学的学分,并寻求选择更好的学术机构进行深造。
 
 
AP Calculus Textbook AP微积分教科书
 
This G9 student takes AP course. According to him, AP is quite challenging, but also very beneficial when it comes to college application and future study. 
 
这位G9学生选择了AP课程。他告诉我们,AP非常有挑战性,但也对个人的升学和未来学习大有益处。
 
 
At BIS, the Mathematics course for G6 to G10 not only prepares students for global standard tests like PSAT, SAT and AP, but also laid a solid foundation to their future studies in DP, in the universities and beyond school.
 
在波士顿国际学校,我们的MYP阶段(G6-G10)不仅为学生参加PSAT、SAT、AP等各项国际性标准化考试打下基础,还将帮助他们更好地衔接未来的DP阶段、大学阶段的学习,并为终身学习做好准备。
 
Next time, we are going to show you the mathematics learning in DP.

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