陶哲轩推荐的游戏

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Suggestions for games that promote mathematical thinking?

A friend of mine recently asked me for some suggestions for games or other activities for children that would help promote quantitative reasoning or mathematical skills, while remaining fun to play (i.e. more than just homework-type questions poorly disguised in game form). The initial question was focused on computer games (and specifically, on iPhone apps), but I think the broader question would also be of interest.

I myself have not seriously played these sorts of games for years, so I could only come up with a few examples immediately: the game “Planarity“, and the game “Factory Balls” (and two sequels). (Edit: Rubik’s cube and its countless cousins presumably qualify also, due to their implicit use of group theory.) I am hopeful though that readers may be able to come up with more suggestions.

There is of course no shortage of “educational” games, computer-based or otherwise, available, but I think what I (and my friend) would be looking for here are games with production values comparable to other, less educational games, and for which the need for mathematical thinking arises naturally in the gameplay rather than being artificially inserted by fiat (e.g. “solve this equation to proceed”). (Here I interpret “mathematical thinking” loosely, to include not just numerical or algebraic thinking, but also geometric, abstract, logical, probabilistic, etc.)

[Question for MathOverflow experts: would this type of question be suitable for crossposting there? The requirement that such questions be "research-level" seems to suggest not.]

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最近查看陶大师的 blog 发现了这个贴子感觉很有意思。大概意思是说，他的一个朋友问他给小孩子玩什么比较有助于数学能力，结果陶公说了两个游戏：Planarity 和 Factory Balls (我当场在下面留言推荐围棋).

Factory Balls 我还没顾的上玩，不过 Planarity 一玩就玩上瘾了。闲话少说，[url=http://www.planarity.net]游戏链接在此[/url]，预祝大家通关顺利！

[color=Silver][[i] 本帖最后由 颖颖 于 2011-10-25 02:09 编辑 [/i]][/color]

回复 #1 颖颖 的帖子

以我的經驗來看，圍棋對數學思維的鍛煉效果不如國際象棋。

國際象棋是嚴格計算次序和位置變換的，圍棋很多時候是模糊的。

PS：我問你的問題還沒回答我呢

[color=Silver][[i] 本帖最后由 dimeterio 于 2011-10-25 10:08 编辑 [/i]][/color]

纯凭感觉连。
真是剪不断理还乱，第6关就卡住了。:hz1026:
另：这游戏可能通关么？试着skip到99了一下，居然也能生成游戏（虽然死机了:hz1014:），看来是没有穷尽的了。:hz1025:

[color=Silver][[i] 本帖最后由 00249598 于 2011-10-25 09:52 编辑 [/i]][/color]

围棋更注重于空间感吧，一般认为空间感男性优于女性，围棋对弈男女差距比较大（当然是指职业的）与这有很大关系吧

找着感觉了！一路来到第9关~~~:hz1025:
原来通关的含义是指找到这份慢斯条理的感觉啊。:hz1024:

围棋棋感很重要。
武宫正树比李昌镐受欢迎，吴清源比木谷实受欢迎。

游戏玩过，10+关过不去了。不能存档是最麻烦的。

不至于。能到10+关，俺觉得这游戏就难不倒你了。只要从从容容、慢斯条理，n关都是能过的。俺现在就有这种感觉、（这牛皮吹的……）:hz1016:

[url]http://flash.17173.com/flashfile/2011-04-18/20110418113158101.shtml[/url]

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俺也推荐个游戏，挑战乃大脑的多项思维能力和手脑并用能力，殿下敢不敢试试，是蓝银就坚持60秒:hz1022:

蛋疼、玩了把20的。
[img]http://ww2.sinaimg.cn/bmiddle/696d9e9bjw1dmg8yiets0j.jpg[/img]
[img]http://ww1.sinaimg.cn/bmiddle/696d9e9bjw1dmg8yrz7oaj.jpg[/img]
真是磨耐性啊，俺果然有自虐倾向……:hz1014:

回复 #9 00249598 的帖子

这个真的太牛了。

[quote]原帖由 [i]KYOKO[/i] 于 2011-10-25 13:17 发表
[url]http://flash.17173.com/flashfile/2011-04-18/20110418113158101.shtml[/url]

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俺也推荐个游戏，挑战乃大脑的多项思维能力和手脑并用能力，殿下敢不敢试试，是蓝银就坚持60秒:hz1022: [/quote]

你有60秒？

[quote]原帖由 [i]墨叶[/i] 于 2011-10-25 15:22 发表


你有60秒？ [/quote]
介个，自然不成，基本上三幅画面以后就坚持不了几秒钟鸟
不过，殿下作为高智商人群自然和咱不同，当然是高标准严要求了:hz1019:

60秒还是可以轻松做到的吧。
俺觉得主要平衡球难点，要多花点注意力，其他余光瞟瞟就行了。
[img]http://ww2.sinaimg.cn/bmiddle/696d9e9bjw1dmgfkadln5j.jpg[/img]

第三个随机出用shift或者space的，就比较容易过60了

回复 #8 KYOKO 的帖子

公主是女人

回复 #11 墨叶 的帖子

这个游戏不好说
生活中远远不止

ls强淫……:hz1025:

搞定20级的兄弟你真不是人。:hz1030:

嘛，过奖过奖。:hz1063:

回复 #2 dimeterio 的帖子

怎么说呢，现在数学界搞"伪随机"方面的研究比较时髦｡ 例如，素数分布，严格上说素数是完全固定的，没有随机性的，但似乎用分布方法解决又能解决一些数论问题｡ 围棋理论上说也属于伪随机游戏吧｡

Planarity怎么玩啊，连个说明都没有

闲得蛋疼

[color=Silver][[i] 本帖最后由 Z_Artemis 于 2011-12-1 16:59 编辑 [/i]][/color]