Start cleanly
Open one strong concept first.
If you have not started anything yet, open a strong first concept or move straight into the starter tracks.
Open Model Lab
Open one simulation, keep the graph and controls in view, and follow the next idea only when it helps. Start here chooses the first move. Browse and search stay close when you want more control.
Need a different route after that first move? Browse Subjects, Guided collections, or Challenges.
Live bench
The live bench stays first so the next step comes from the model instead of from a pile of route choices.
Pick up where you left off
Continue learning
Keep the next concept, track, or review action visible without turning the homepage into a full dashboard.
Local-first by default, synced when you sign in
Start cleanly
If you have not started anything yet, open a strong first concept or move straight into the starter tracks.
Start with one source mass creating a field and potential well, then use that same gravity model to explain circular speed, orbital periods, and the escape threshold.
If you want a broader map before you begin, open the concept library or topic routes next.
Browse next
93 concepts stay in one shared library. Open the wider routes only when you want a bigger map.
在同一個反覆系統中,從位移到加速度再回到位移,直接看懂週期性運動。
A strong first concept for opening the catalog without committing to a full track.
Open 簡諧用誠實的控制項移動同一條母函數曲線,讓平移、垂直伸縮與反射都綁在同一張疊圖與標誌點上。
把一個化學盒子留在視野中,讓溫度、濃度、活化門檻與催化劑都可被理解為成功碰撞數目的變化。
01
Each concept starts with a live bench so the idea arrives after the behavior makes sense.
02
Controls stay tied to meaningful parameters, so cause and effect stay obvious while you explore.
03
The page pairs the live bench with labeled graphs, planes, and readouts rather than hiding the relationship.
Direct start
Open one strong concept first, then let the live page widen the path from there.
Open SHMStarter track
5 linked concepts when you want a short ordered path instead of a cold library scan.
Start Gravity and OrbitsGuided starts
Show sequenced starts
Open these when you want a short guided path instead of a free browse.
Starter tracks
Browse all tracksStart with one source mass creating a field and potential well, then use that same gravity model to explain circular speed, orbital periods, and the escape threshold.
Starts with 重力場 across 5 concepts.
Keep the first math path compact: read parent-curve moves first, then rational asymptotes and domain breaks, then exponential growth and decay, local slope, visible limit behavior, and finally accumulation so change stays graph-first all the way through.
Starts with 圖像變換 across 6 concepts.
Start with successful collisions setting reaction rate, then reuse the same chemistry language inside a reversible system that re-balances after a disturbance.
Starts with 反應速率/碰撞理論 across 2 concepts.
Guided collections
Browse all collectionsUse one topic route, one starter track, and one focused challenge so the wave story stays bounded for a teacher-led lesson block.
A sequenced set of 9 concepts.
Move from field cause to voltage to the first full electricity track without leaving the current concept, topic, and challenge surfaces.
A sequenced set of 6 concepts.
Use the existing electricity recap, magnetic starter track, and Maxwell capstone surfaces to move into electromagnetism without turning the branch into a full LMS sequence.
A sequenced set of 11 concepts.
Use the functions topic route, the existing graph-first starter track, one accumulation checkpoint, and the calculus topic route so the early math branch stays compact for a teacher-led lesson block.
A sequenced set of 7 concepts.
Use the vectors topic route, the short bridge track, one endpoint checkpoint, and the mechanics topic route so the math-to-motion handoff stays compact and teacher-usable.
A sequenced set of 7 concepts.
Use the complex-and-parametric topic route, the authored starter track, one parametric-motion checkpoint, and the vectors topic route so the plane-based math branch stays compact and teacher-usable.
A sequenced set of 9 concepts.
Use the chemistry topic route, the compact starter track, one rebalance checkpoint, and the solutions-and-pH topic route so the chemistry branch feels packaged instead of isolated.
A sequenced set of 6 concepts.
Use the stoichiometry topic route, the compact starter track, one percent-yield checkpoint, and the solutions-and-pH topic route so chemistry quantities stay bounded and teacher-usable.
A sequenced set of 7 concepts.
Use the solutions-and-pH topic route, the authored starter track, one buffer checkpoint, and the rates-and-equilibrium topic route so the broader chemistry branch stays compact and teacher-usable.
A sequenced set of 6 concepts.
Use the algorithms-and-search topic route, the compact starter track, one focused graph-traversal revisit, and the filtered challenge hub so the CS branch stays bounded and extension-ready.
A sequenced set of 6 concepts.
Routes
Show subject and topic routes
Open these when you want a broader map before you choose one concept.
Subjects
Open subject directory透過運動、波動、場、電路與現代物理的即時實驗台進入目前的物理內容。
運動與圓周運動 is the clearest bounded first route.
以圖像變換、函數、複數平面、三角與向量等互動主題進入數學內容。
函數與變化 is the clearest bounded first route.
從反應速率、平衡、化學計量與溶液酸鹼等模擬主題進入化學內容。
反應速率與平衡 is the clearest bounded first route.
從排序、搜尋與圖遍歷等演算法主題進入目前的電腦科學內容。
演算法與搜尋基礎 is the clearest bounded first route.
Topics
Open topic directory從單一振子一路連到行進波、聲波、拍頻、都卜勒效應、駐波與共振。
簡諧 is still the cleanest first concept here.
Use parent-curve moves, a shifted reciprocal family, and one exponential bench so graph moves, asymptotes, domain breaks, growth versus decay, and target-time questions stay tied to the same visual branch before the math path widens into local and accumulated change.
圖像變換 is still the cleanest first concept here.
Use one compact chemistry branch where collision success explains reaction rate first, then the same particle language widens into reversible change and a new equilibrium mix.
Reaction rate is still the cleanest first concept here.
Challenges
Show challenge paths
140 challenges stay available when you want a more specific next move.
Use the challenge hub when you want a task instead of an open browse.
Open challenge hubQuestions or feedback?
Open Model Lab stays simulation-first on purpose. If the route choices still feel crowded after the first move, send feedback and point to the page that needs another simplification pass.