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逐步學習求解方程式 — 所有高等數學的基礎。
學習藝術家如何運用色彩創造氛圍、深度與意義:從色輪到大師作品。 [BLOCK_TYPE SECTION/STEP]
解碼這個分子,它建構了每一個活的生物:從細菌到藍鯨。 [TITLE intro/]
放大原子,探索為什麼元素週期表是科學中最強大的速查表。 [BLOCK_TYPE SECTION/STEP]
编写你的第一个 Python 程序——print、变量、输入和逻辑。
A first tiny lesson for little ones about using helpers wisely. A helper can help us, and that is good, and we can still look and check with our own eyes.
A formal toolkit for telling truth from confident error. Work a base-rate problem by hand, separate correlation from causation, catch confirmation bias, and learn why a source stating something with total confidence is not evidence that it is right.
A first tiny seed of reading data. Count how many, tell more from less, and learn a fair way to compare two groups.
A rigorous framework for handing work to automated systems, catching their failures, and owning the result. For grades 9-12.
Learn how to tell whether something is actually true. Weigh evidence, check where a claim comes from, spot the correlation trap, and verify a surprising claim before you believe or share it.
Learn to turn a vague, fuzzy goal into sharp questions you can actually answer. A good question is half the answer.
Learn how a clear question helps you find out. Ask one thing at a time, use what and why and how, and break a big wondering into small questions you can check.
A first peek at knowing & guessing. Learn when we KNOW, when we GUESS, & that a good guess uses clues.
Learn the habit of asking "How do you know?" and how to check what is true with your own eyes, a book, or a trusted grown-up.
Discover what decades of memory science reveal about studying smarter: why testing yourself beats rereading, why spacing beats cramming, and why the hard way often teaches the most.
Learn four friendly tricks that help your brain remember spelling words, math facts, songs, and anything you want to keep.
Learn how we know something is true by looking, touching, and checking for ourselves.
Learn to make better decisions when you cannot know the outcome. Compute expected value, calibrate your confidence, catch decision biases, and tell a good decision from a lucky result.
The science of durable learning: why testing beats rereading, why harder study sticks, and how to tell real mastery from the feeling of it.
Learn to weigh your choices by their likely outcomes, tell a reversible decision from one you cannot undo, and see why a smart decision can still get unlucky.
Learn to judge how likely something is, use clues to decide, make good choices when you are not sure, and change your mind when you get new information.
A first peek at learning-how-to-learn. Your brain gets stronger when you practice, mistakes help you learn, and trying hard things helps you grow.
Learn to read a simple bar chart and pictograph, compare fairly, and spot a chart that tries to trick you.
Learn to read numbers and charts like a detective: spot a hidden spread, a truncated axis, a cherry-picked range, and a biased sample.
Learn to read a statistic the way a skeptic does. Judge the measure, the spread, the sample, the axis, and the claim, so correct numbers can never mislead you.
Answers are getting cheap. Learn the scarce skill: framing the right problem, surfacing hidden assumptions, and breaking a hard question into one you can actually settle.
Learn when a tool or helper makes you faster, why you should always check its answer, and when to do a job yourself so your brain stays sharp.
Wondering & asking questions is how we find things out. A first, warm look at good questions for little thinkers.
Automated systems shop, translate, map, and answer for us every day. Learn to use them like a smart tool, delegating the busywork while keeping the judgment and the final decision yourself.
算法無處不在:在你如何整理玩具、尋找鞋子,或想出先吃蔬菜的最快方式的過程中。本課程在日常生活中發現算法、按顏色和大小排序,並發現某些搜索方法比其他方法更快。
線性搜尋逐一檢查每一項。二分搜尋跳到中間,每次將工作量減半。冒泡排序比較相鄰項目並交換。本課程透過數字和文字的實際操作範例,建立直覺認識,讓你了解為什麼有組織的資料能讓電腦運作更快。
Big O 記號描述演算法的成本如何隨著輸入而增長。O(N) 表示輸入加倍就加倍工作量。O(N²) 表示輸入加倍就四倍的工作量。本課程通過編程範例、比較表和實際成本計算來建立 Big O 直覺——然後指向我們 unhamming 課程中更深入的探討。
Big O 描述最差情況增長。Theta 描述緊漸近界。Omega 描述最佳情況。空間複雜度追蹤記憶體,而不僅僅是時間。攤銷分析將偶爾昂貴的操作分散在序列中。本課程為分析任何算法建立了正式工具包。
列表按順序存儲項目。集合存儲唯一的項目以供即時查找。在它們之間進行選擇可以將您的程序從 O(N²) 變更為 O(N)。本課程建立了何時使用各個數據結構、它們的 Big O 成本如何不同以及如何組合它們來解決實際問題的直覺。
清潔雙手、聰明的菜單、長柄工具,以及帶走的食物殘渣。在戶外烹飪時,避免燒傷自己或森林。 [TITLE intro/]
了解設定每個價格的無形力量——從運動鞋到串流訂閱。
Pick a safe campsite, read the clouds before the storm hits, spot hypothermia, and dress in layers. [TITLE intro/]
檢視氣候變遷的證據,了解其機制,並評估我們能採取的行動。 [BLOCK_TYPE SECTION/STEP]
Travel back 5,000 years to banks of the Nile & discover how one river built a civilization. [BLOCK_TYPE SECTION/STEP]
到處尋找顏色與形狀!適合小朋友的第一堂課。 [BLOCK_TYPE SECTION/STEP]
方位、指南針讀取、地形圖,以及工具意見不一致時的野外應對原則。 [TITLE intro/]
探索大陸如何漂移、山脈如何隆起、地震如何發生、火山如何噴發 — 了解你腳下的地球引擎。
探索連接幾何與現實世界的2,500年歷史公式——從建築到GPS。
理解創立政府的文件——以及230多年來使其保持活力的修正案。
確保現場安全、呼救、止血、冷卻燒傷、陪伴傷患。每個孩子都應該知道的五件事。 [TITLE intro/]
認識你神奇的身體!從你的頭頂到腳尖,還有中間的所有部分。
了解食物在你體內實際做什麼——以及為什麼最好的飲食方法比網際網路說的要簡單得多。
探討決定人類史上最大衝突的關鍵時刻,以及它所留下的世界。
認識字母!學習字母及其發音。 [BLOCK_TYPE SECTION/STEP]
Meet six Letter People and their sounds (s, a, t, p, i, n), then blend them into your very first words. A warm, playful first step into reading.
Meet six more Letter People and their sounds (m, d, g, o, c, k), then blend them into new words like dog and cat. A warm next step in your reading adventure.
Meet seven more Letter People and their sounds (e, u, r, h, b, f, l), the last two vowels and four more friends. Blend them into new words like bed, and hear their sounds all around you.
Meet the final Letter People (j, v, w, x, y, z) and the quiet team qu. Learn that Xeno Ox finishes words with /ks/ and Quincy Quail brings U to say /kw/. Then you will know all 26 Letter People!
You know all the Letter People sounds. Now practice the big reading trick: stretch three sounds slowly, then squish them into one word. Blend cat, sun, big, hot, and red.
Meet word families like -at, -an, -ig, and -op. Words in a family rhyme, and you only change the first sound to read a whole new word. A playful way to read groups of words fast.
Meet the star words, the friendly little words you just KNOW at a glance. Learn the, a, I, is, to, and, you, said, was, my, we, see, he, she by sight, and keep them in your pocket.
Two Letter People can hold hands and make ONE brand-new sound. Meet the team sounds sh, ch, and th, and read words like ship, chin, and this. A warm, playful step into digraphs.
Put it all together! Use your letter sounds, blending, and star words to read whole sentences for the very first time, then tell what each one means. The graduation lesson.
閱讀並分析羅伯特·佛羅斯特關於選擇及其後果的經典詩歌。
直面文學中最著名的問題——發現為什麼一部400年前的劇作仍然與我們對話。
Count along with us! A first numbers lesson for little learners. [BLOCK_TYPE SECTION/STEP]
通過實際例子掌握分數——切披薩、分享糖果和建立代數基礎。
計算二維形狀的面積、三維立體的體積,並在坐標平面上繪製點。
在你周圍找圓形、正方形、三角形和長方形。
學習點、直線、射線、角度,以及如何在形狀中找到對稱。
探索全等、相似、幾何變換和三角法的基礎。
高與低、大聲與輕柔、穩定的拍子,以及溫和的暖氣:專為小小學習者設計的第一堂音樂課,準備好吹奏直笛。 [TITLE intro/]
Master the recorder family, transposition, ensemble reading, Baroque ornamentation, and tuning, then carry that musicianship straight into a concert band woodwind section. [TITLE intro/]
學習如何拿直笛、吹出溫和的暖氣,以及演奏你的前三個音:B、A 和 G。 [TITLE intro/]
掌握高音直笛的全音域、交叉指法、吐音、呼吸,以及葛利格《山之王的殿堂》中逐漸加速的演奏技巧。 [TITLE intro/]
了解每首歌曲的基本構成要素──從巴赫到碧昂絲。
用2,500年來哲學家用來尋求真理和識破謬誤的工具來磨練你的思維。
理解支配從下落蘋果到環繞行星等一切事物的三個定律。
學習兩種連結世界的繩結。平結用來連接,單套結用來打環。 [BLOCK_TYPE SECTION/STEP]
血圈、遠離身體切割、為什麼鋒利勝過鈍器,以及安全傳遞手法。 [TITLE intro/]
學習火三角、由小到大搭建火堆、選擇安全地點,以及絕不留下半燃的火堆。 [TITLE intro/]
學習關於感受—開心、難過、生氣、害怕—以及如何成為好朋友。
探索記憶和遺忘的科學——並學習為什麼你的大腦既了不起又不可靠。
Discover animals and their homes! From farms to oceans to jungles. [BLOCK_TYPE SECTION/STEP]
陽光、雨水、雪花和風!學習天氣和四個季節。
利用北斗七星找到北極星,了解季節形成的原因,並以天空作為導航工具。 [BLOCK_TYPE SECTION/STEP]
學習哪些植物是安全的,哪些應該避免接觸。一定要先問大人喔! [TITLE intro/]
探索細胞的運作:從細胞膜到線粒體,以及為什麼所有生物都依賴它們。 [BLOCK_TYPE SECTION/STEP]
找出當地需求、設計可行計畫、衡量真實影響,並反思你與他人之間的改變。 [TITLE intro/]
學習運氣背後的數學 — 從拋硬幣到紙牌遊戲再到預報天氣。
學習像律師一樣論證、像記者一樣撰寫 — 用詞彙改變他人心意的藝術。
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