01

心算

1、熟悉平方数的话，也还好。100+121+144+169+196=730
2、利用关于12的对称性，
$10^2+11^2+12^2+13^2+14^2$
$=(12-2)^2+(12-1)^2+12^2+(12+1)^2+(12+2)^2$
$=5\times 12^2+4+1+1+4$
$=5\times 144+10$
3、拉钦斯基数列
$10^2+11^2+12^2=13^2+14^2=365$

[?]Sqr5's blog ...

“毫无准备的孩子没有意识到最好的人准备充分，认为是遗传能力决定了差异。”“决定他们“、‘根本不是数学家’，他们没有在课程中充分献出自己，从而强化了前者的优势。”

18

奇特的一生*

（柳比耶夫（柳比歇夫））《奇特的一生》格拉宁著 外国文学出版社 1975年出版，汉语1979年第一版...
@qiusir:最初是从闹闹同学的桌布上看到“柳比耶夫”的名字，听她简单介绍了几句回去检索，然后在孔网上花费原价（0.37元）100倍以上的价格买来这本几乎和我一样老的小册子，铅笔在上面都很难留下痕迹...而阅读过程中常感慨，或许我个人的成长是为了能读懂它。
@qiusir:趁疫情线上教学，在家看完了《奇特的一生》，这是一本超值的书，应该感谢闹闹同学（我让她在这本小册子上签了名，并先我拿回家看）。是她把“柳比耶夫”写在桌布上以及简短的几句介绍，让我相信柳比耶夫的非凡，回去查找、阅读和自我更新，当然也不忘把书借闹闹同学看看。如此新知获得的过程，也是我心目中理想化的教学，闹闹同学是位优秀的学生，也是好的老师......
1、作者想着怎样吸引读者，读者寻思值不值得看下去

2、谈谈爱的起因及其奇异之处

3、作者介绍一些情况；不用说，这些情况全值得惊叹和发人深思

4、谈谈有什么样的日记

5、谈谈时间，谈谈自己
“一切都不是我们的，而是别人的，只有时间是我们自己的财产。”

“我们一生的时间，大部分用于错误及种种恶行；很大一部分虚抛浪掷，无所事事。我们整个一生，几乎都没有用来干应当干的事。”

6、作者想追根究底，了解事情的起源

7、他的方法是怎么起的头
“我像是果戈里笔下的阿卡基耶维奇，在抄抄写写中找到乐趣...”

1967年77岁的他，俄文书50本，四十八小时；英文书2本五小时；法文书3本，二十四小时；德文书2本，二十小时...

8、这一切需要多少代价，这代价值得不值得付......

9、作者照例要做到自圆其说，并照出一个人人满意的公式

10、本章由柳比耶夫亲自定名为《论因子总量》，兼论由此得出的结论

“他的信教不是因为怕鬼，而是因为爱上帝。”

“我身上有很大的空想的勇气，具有巴扎罗夫那种真正的虚无主义，也就是说，不承认什么东西可以不受理智的批判...”“人比机关好，人比信仰好...”
“您的衣着举止不拘小节，独行其是，我很佩服；但遗憾的是，我没有勇气学您的样子。”这样的恭维话，出自一位地道聪明人之口，抵消了庸人们成千上万次的白眼...“小市民会对你有些讥讽嘲笑，这是一种有益的心理上的锻炼，能让你培养我行我素的精神...”（这一点我省悟太晚，迎合别人成了我生存的技能，即便不需要还保留着，很是悲哀。这是我能意识到的少有的苦出身的劣行...）
“人家对我侧目而视，但到后来他们发现，我演算习题并没有耽误听别人发言。”

（这么好的书，论说不应该用铅笔做标记的，一方面，我读书真实是为了自己，而对于我能接触到的人，这本书对后人可能不会被看到，何不好好用在当下。我对族人的失望不是一天两天了...）
11、谈谈某些学者的一种特性

12、一切都得付出代价

13、谈谈矛盾

“他一生的时间并不是他的私有财产，而是拨给他从事科研工作的，科研工作就是他的使命和他一生中的主要快乐，为了完成这一使命，他节约时间，计算归他支配的每个小时和每一分钟。”

...然而失败还是胜利

14、幸福的倒霉鬼

1我不承担必须完成的任务；
2我不接受紧急的任务；
3一累马上停止工作去休息；（疫情期间可以基本做到，但生活节奏还是很不适应。）
4睡得很多，十小时左右；
5把累人的工作同愉快的工作结合在一起。

（阳光下，梅花旁，轻盈的乐曲中，一杯温水一本旧书...）

“正派人”的概念不大能使柳比耶夫（柳比歇夫）感到满足，仅就这一点来说，柳比歇夫的到的纲领就够独特的了。在他眼里，“正派人”就是那些智力和道德水准相当于“集体水准”的人。他的要求不同---他要求真正的道德，也就是说，要求一个人能独立地进行自我修养以提高道德水准，要求一个人不是把道德看成是墨守成规，而是一种克制和自我修养的过程。

“一些科学家取了第一部分，于是躲进了象牙塔中，并认为他们有权忽视时代的要求，同时，这些科学家们总是把真正纯理论的科学同微不足道的探求，同毫无用处的可续色混淆在一起...”

15、本章最好题为“考验”
“竟有这么多我不需要的东西。”

...为了自己的‘成就’（赫罗洛斯特拉特烧掉了神庙，终于达到了自己的目的---名垂千古），他贡献出自己的生命。大量沽名钓誉的人把自己的成就建立在巨大的、用人尸垒成的金字塔上，危害性要比他大得多。

...正是以自己毕生的功勋赢得了向我们心灵发出号召的权利。

（读书，整理笔记，身边的人这样，你也可以这样，这是师范的基本示范。）

...详尽的回忆录，其中充满了对于过去的衷心感激，可是现在的人们却如此轻而易举地为了将来而忘记过去。

@qiusir:看到原价0.37元，让我惊讶的不是物价的膨胀，而是书本的廉价，同时，如此便捷能获取知识，那无知就是一种可耻了。
@qiusir:她现在对这本书应该还看不懂多少，真心希望十年或二十年后她能再次翻看此书，能在字里行间感受到老师对由她而看到的这本书的感激和期待...

·年末温习20221202
（很薄的一本小册子，写了很长的一篇读书笔记。）（管很文静的小暄-可能是这么写-叫闹闹，可想她听到的时候会是怎样的心情哈哈哈，物理似乎高考满分，尽管总分不是很理想，相信这么早就能喜欢柳比耶夫的她一定会有更辉煌的自己。）

04

17

Learning to be Creative

Out of Our Minds: Learning to be Creative Sir Ken Robinson

The book looks at the nature of personal talent and creativity and the conditions in which it flourishes.

The more complex the word becomes, the more creative we need to be to meet its challenges.
I trust you will find a great deal here to interest and engage you.
These standards were designed for other times and for other purposes.
We will not succeed in navigating the complex environment of the future by peering relentlessly into a rear-view mirror.(通过后视镜来观察是无法在未来复杂的环境中顺利通行)
We are living in a world that is changing faster than ever and facing challenges that are unprecedented.

Creativity is a rare talent.
A culture of creativity has to involve everybody, not just a select few.
As our case is new, so we must think anew and act anew.
We are not going back to the good old days.

image via edutopia[?]教育乌托邦，Utopia“没有的地方”或者“理想完美的境界”，edutopia教育理想国。）
Government are pouring vast resources into education reform.
Parent lie awake at night worrying about the quality of their children's education.
Lead a life that has meaning and purpose.
After the arrival of television, the world was never the same place again.
Some people struggled to see why it would replace horse and carriages.

Like the printing press, the motorcar changed the world in ways that its inventors could not have imagined.
He could not have foreseen the mushrooming expansion of the Internet.

The evolution of the Internet has been driven not only innovation in technology but also by unleashing the imaginations and appetites of millions of users, which in turn are driving further innovations in technology.

Digital technologies are blurring the boundaries between home and work, business an pleasure.
We live in a time when the ability to adapt is critical.
There is no agreed definition of intelligence.
Human intelligence is much richer than we have been led to believe by industrial/academic education.
You are more than you think.

For most of them it's the first time that they'll be seen in a positive light.
Make groundbreaking contribution in their own area of work.
Creating a place where children feel safe and challenged. Graduates leave with a sense of capability, endurance and resilience, owning a confidence about taking on enormous challenges in there lives.
A deep sense of value, of being loved and appreciated, and a trust for group process and cooperation, enables them to feel that excellence is in their own hands.

Students are encouraged to be leaders and schools leaders are encouraged to be visionaries. our schools strive to create a respectful, diverse, creative, exciting and reflective culture.
We are building a school system that inspires and awakens the possibilities of an engaged and vital life within our youth.
Everyone has a stake in the future of education.

Imagination is the process of bringing to mind things that are not present to our senses; creativity is the process of developing original idea that have value; innovation is the process of putting new ideas into practice.
Everyone has a huge creative capacities as a natural result of being a human being. The challenges is to develop them. A culture of creativity has to involve everybody not just a select few.

Being creative does usually involve playing with ideas and having fun, enjoyment and imagination. But creativity is also about wiring in a highly focused way on ideas and projects, crafting them into their best forms and making critical judgments along the way about which work best and why. In every discipline, creativity also draws on skill, knowledge and control. It's not only about letting go, it's about holding on.

We are all born with immense natural talents but that too few people discover what they are and even fewer develop them properly. Ironically one of the main reasons for this massive waste of talents is the very process that it meant to develop it: education.

In imagination we can bring to mind things that are not present to our senses. We can visit the past. We can review and reinterpret the past...

The problem is that many of our established ways of doing things, in business, in government and education, are rooted in old ways of thing They are facing backwards, not forwards.

The impossible yesterday is routine today, Wait until tomorrow.
Civilization is a race between education and catastrophe. The problem is that too often and in too many ways, current systems of mass education are a catastrophe in themselves. Far from looking to the future, too often they are facing stubbornly the past.

The front-loading model of education: you accumulate your educational resources at the beginning of your life and you eke them out gradually as you get older. It's also called gas tank mode: you are filled up in your mouth with an initial supply of education, which is meant to see you through the rest of life's journey.
Technology, is not technology if it happened before you were born.
We don't teach people how to deal with failure and this is a fundamental oversight.

All truth passes through three stages: first, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident. Arthur Schopenhauer(叔本华)
Our ideas can enslave or liberate us.

We ask how we can measure intelligence. The assumption is that intelligence is quantifiable. We ask how can raise academic standards but do not question whether they deliver what we need to survive in the future. We ask where we can find talented people but ignore the talents of people that surround us. We look but we do not see, because our traditional common-sense assessment of abilities distract us from what is actually there. We ask how to promote creativity and innovation but stifle the processes and condition that are most likely to bring it about.
Dance is the hidden language of the soul.
Intelligence is not only diverse: it is highly dynamic.

One of the consequences of a narrow view of ability is a correspondingly wide view of disability.(对能力的狭隘认知直接导致对无能的广泛定义。)
If you're interested in the ultimate character of the physical world, at present time our only way to understand it is through a mathematical type of reasoning.
There are many aspects of the world where mathematics is unnecessary, such as love, which are very delightful and wonderful to appreciate and to feel awe about.(世界上很多的方面是用不到数学的，比如说爱情。爱情美妙绝伦，令人愉悦并产生敬畏。)

We see the world not as it is, but through a veil of conception.
Just when I found out the meaning of life, they changed it. George Carlin
(1.Just when I discovered the meaning of life, they changed it.
2.Ever notice that anyone going slower than you is an idiot, but anyone going faster is maniac?)

Creativity is a dialogue between the ideas and the media in which they are being formed. Dancers think physically.
when I ask how many of his experiments fail, he(Chemist Sir Harry Kroto) said: you're just finding out what doesn't work.
Albert Einstein: Anyone who has never made a mistake, has never tried anything new.
I don't mean to say that being wrong is the same thing as being creative but if you're not prepared to be wrong, it's unlikely that you'll ever come up with anything original.

Creative insights often occur by making unusual connection: seeing analogies between ideas that have not previously been related.(当你看到通常不被联系起来的想法的相似性时，创造性的想法就出现了。)
Personal creativity often comes from a love for particular materials. I spoke once with a professor of physics from California. He described himself as a native speaker of algebra.

Being good at something isn't a good enough reason to spend your life doing it.
I am not what has happened to me. I am what I choose to become. Carl Jung

1.If one does not understand a person, one tends to regard him as a fool.
2.Children are educated by what the grown-up is and not by his talk.
3.There are many nights as days, and the one is just as long as the other in the year's course. Even a happy life cannot be without a measure of darkness, and the word happy would lose its meaning if it were not balanced by sadness. It is fa better take things as they come along with patience and equanimity.
4.There is no coming to consciousness without pain.
5.A collection of a hundred great brains makes one big fathead.
6.The greatest and most important problems in life are all in a certain sense insoluble. They can never be solved, but only outgrown.
7.Your vision will become clear only when you can look into your own heat. Who looks outside, dreams; who looks inside, awakens.
8.Everthing that irritates us about others can lead us to an understanding of ourselves.
9.The creation of something new is not accomplished by the intellect but by the play instinct acting from inner necessity. The creative mind plays with the objects it loves.
10.We cannot change anything unless we accept it. Condemnation does not liberate, it oppresses.
11.The least of things with a meaning is worth more in life than the greatest of things without it.

Education should develop the whole child and not just their academic abilities. It should engage their feelings. physical development, moral education and creativity.

Knowledge of self is a important as knowledge of the external world. Exploring personal feelings and values is essential and so are opportunities to exercise imagination and self-expression.
One of the main roles of teachers is to draw out the individual in every child. In this sense, education is a process of self-realization.

They argued in different ways that children should be allowed to follow a natural pattern of development rather than a standard course of instruction. Above all, naturalist wanted to address the whole child: mind, body and spirit.
They promote the idea of the individual breaking free from the constraints of culture. For the rationalists, the individual becomes independent of cultural influences by the power of rational, objective though. Since objective knowledge exist independently of people and culture, the rational individual is free of culture bias and sees the world just as it is. For the naturalist, the aim is to liberate the individual spirit from the pressures of culture and reveal the authentic self.
(两者均倡导个人发展应打破文化的束缚。理性主义者认为，个人应该通过理智客观的思考独立于文化的影响。既然客观知识的存在不以人和文化的存在而转移，那么理性个人就应当不受文化偏见的左右，客观的认识世界。自然主义者的目的是为了把个体精神从文化的压迫中解放，从而展示真我。)

How we feel about something is an expression of our relationship with it, In that sense, feelings are evaluations.
As Isaac Newton famously said, if he saw further than others, it was because he stood on the shoulder of giants.
As Victor Hugo said, "nothing is more powerful than an idea whose time has come."
Nurture a culture where everyone can have new ideas.

Education is not a linear process of preparation for the future: it is about cultivating the talents and sensibilities through which we can live our lives in the present and create the future for ourselves.
Education has three core purposes:
Personal: to develop student's individual talents and sensibilities.
Cultural: to deepen their understanding of the world around them.
Economic: to enable them to earn a living and be economically productive.

As Socrates famously express it ,"Education is the kindling of a flame, not the filling of a vessel." All students have different interests, and learning styles. What and how they are taught has to engage their energies, imaginations and their different ways of learning. No one can be made to learn against his or her will. Learning is a personal choice.

Some people argue that personalizing education for every student is an impossible pipe dream: it would be too expensive and teachers simply could not give every student the necessary time and attention. There are two answers to this argument.
The first is that there is absolutely no alternative. Education is personal or it is nothing. Personalized learning is an investment not a cost.
The second argument is that it is possible to personalize learning for every student. One of the way is can be done is through the creative use of new technologies. Information technologies are among the driving forces of the economic and culture revolution and one of the reason why the industrial model of education is becoming obsolete. Some of the most powerful tool for promotion creativity, communication and collaboration ever devised now offer unprecedented opportunities for education to be personalized.

Creativity is not about a lack of constraints, often it is about working within them and overcoming them. The dynamics of culture are such that change travels in all directions. With the power of the Internet and of social networking, ideas and innovations can move quickly and inspire others to action. Sensitive policy makers will feel the change and may even say it was their idea.

(At the end of the day, what you really want is the guy who inspires you, not the guy who influenced you.)
The task of education is not to teach subjects: it is to teach students. No school is better than its teachers. When you think of your own time at school it is the people you remember: your contemporaries, and especially the teacher: the ones who turned you on and the ones who turned you off; who build you up or knocked you down. In the right context, a casual remark by a teach , or even a raised eyebrow or tone of voice can set you on a lifelong journey of discovery or put you off taking even the first step.

Creativity depends on interaction between feeling and thinking, and across different disciplinary boundaries and fields of ideas. Mastery in teaching is like mastery in any other profession. Knowing which to draw from to meet the needs of the present situation is a process of connoisseurship that expert teachers also share.
(创造力取决于感受和思考的互动，而且是跨学科跨领域的。教学上的精通等同于其他领域专家。通过汲取来满足当下的需要就是成为行家里手的过程也是教育专家所拥有的素质。)

There is a different between teaching through creativity and teaching for creativity. Good teachers know that their role is to engage and inspire their students. This is a creative process in itself. Too many teaches are hired for knowledge of their discipline rather than their interest in students. Good teacher requires personal knowledge as well as the ability to engage others.

Teaching for creativity is about facilitating other people's creative work. Teaching for creativity involves asking open-ended question where there may be multiple solutions; working in groups on collaborative projects, using imagination to explore possibilities. Teaching for creativity involves teaching creatively.

There are three related tasks in teaching for creativity: encouraging, identifying and fostering.
Encouraging: the first task in teaching for creativity in any field is to encourage people to believe in their creative potential and to nurture the confidence to try. Other attitudes important for creative leaning include: high motivation and independence of judgment; a willingness to take risk and be enterprising, to be persistent and to be resilient in the face of false starts, wrong turns and dead ends.
(鼓励人们相信自己的创造潜能以培养勇于尝试的自信。其他重要的态度包括：高度的积极性，独立判断能力，敢于冒险，有进取心，面对不成功的开始，错误的转弯和走入死胡同时的具有持之以恒和坚忍不拔的精神。)
Identifying: a second role is to help students to discover their own creative strengths.

Knowledge can be generated in many ways other than in words and numbers. Not everything we know can be put into words and numbers, nor are words and numbers all that we know. It is far all these reasons that schools have to offer curricula that are broad and balanced.

The implication of diversity is that breadth in schools should be balanced by depth. Alongside any common curriculum, there have to be opportunities for students to go more deeply into areas that interest them particularly.
A narrow, unbalanced curriculum will lead to narrow, unbalanced education.

Assessment is the process of making judgments about students’ progress and attainment. The problem for creative education is not the need for assessment, but the nature of it. Assessment should support students’ learning and achievements. In practice, it tends to dominate the priorities and general ethos of education.

An assessment has two components: a description and a comparison. Assessments compare individual performances with others and rate them against particular criteria. One problem with systems of assessment that use letters and grades is that they are usually very light on description and very heavy on comparison.

A second problem in grade-based assessment is that a single letter or number does not convey the complexities of the process that it is meant to summarize. And some outcomes cannot be adequately expressly in this way. As Eliott Eisner once put it, “not everything important is measurable and not everything measurable is important.” One way to enhance the value of assessment is to separate out these elements of description and comparison. Portfolios of various sorts allow for detailed descriptions of the work that students have actually done, with examples and reflective comments by themselves and others. Providing clear and detailed criteria is also a way of improving the transparency of assessments. Peer group assessment is a process by which students contribute to the judgments of each other’s work and to the criteria by which it is assessed. These approaches can be especially valuable in both formative and summative assessments of creative work.
(以打分为基础的评价系统存在的第二个问题是单一的字母或数字是无法表达所需要总结的学习过程的复杂性的。一些结果无法用这种方式准确表达出来。正如教育学家艾斯纳所说，“不是所有重要的东西都可以衡量，可以衡量的东西并不都重要。”提高评价系统价值的一个方法是区分评判与比较。可以为学生建立不同形式的文件夹，对其所作工作进行具体描述和举例说明，并附上学生的自我反思和他人的评论。提供一个明确具体的评价标准也可以提高评价体系的透明度。小组互评也是一种方法。学生对彼此的工作互相评价，并且共同制定评价标准。这些方法在创造性工作的形成性评价和总结性评价中都非常有价值。)
Transforming education is not easy but the price of failure is more than we can afford, while the benefits of success are more than we can imagine.

Reading Notes, Thanks for Laura Lee