See the structure behind the struggle. 看见吃力背后的结构。
MathMap turns U.S. high school mathematics into a visual map of knowledge nodes — then pinpoints exactly where a student's understanding breaks down, and which repair rebuilds it. MathMap 把美国高中数学画成一张由知识节点连成的结构地图，精准定位孩子理解在哪里断裂，以及用哪种方法修复它。
Diagnosis-first, not more worksheets · Bilingual reports for parents (EN / 中文) 先诊断，而非多刷题 · 家长双语报告（中文 / EN）
Knowledge node map
知识节点地图
Three steps from diagnosis to targeted repair从诊断到定向修复，三步走
MathMap is a diagnostic layer, not a problem bank. It answers a harder question than "did you get it right?" — it asks "do you understand why?"MathMap 是一个诊断层，而不是题库。它回答的不是"你做对了吗"，而是更难的问题——"你理解为什么了吗"。
Structural diagnosis结构诊断
Every concept is placed as a node on a map and graded from L0 to L4 — from "not yet recognized" to "can transfer to new problems." We assess understanding, not just answers.每个概念都作为节点放上地图，从 L0 到 L4 评级——从"尚未识别"到"能迁移到新问题"。我们评估的是理解，而不只是答案。
Gap identification精准定位
The map reveals which upstream node is causing downstream failures — so effort goes to the true root cause instead of the visible symptom.地图揭示是哪个上游节点导致了下游的失败——让精力用在真正的根因上，而不是表面的症状上。
Targeted repair定向修复
Ten named repair methods map to specific gap types — each with a time estimate and success criteria. Every session has a structural purpose.十种命名修复方法对应不同的断点类型——每种都带时间估算和成功标准。每次练习都有明确的结构目的。
The L0–L4 ladderL0–L4 能力阶梯
A shared language for "how well does my child actually understand this?" — the same scale a parent, a student, and a teacher can all read.一套关于"孩子到底掌握到什么程度"的共同语言——家长、学生和老师都能读懂的同一把尺子。
Not yet assessed on this node.该节点尚未评估。
Can identify the concept when shown, but not yet produce it independently.见到能认出，但还不能独立做出来。
Solves familiar problems, but may waver when the format changes.会做标准题，换题型或换问法可能就不稳。
Explains why, and connects algebra, graphs and tables together.能解释为什么，把代数、图像、表格联系起来。
Applies flexibly to unfamiliar contexts — the mark of real depth.能举一反三，遇到没见过的情境也能灵活运用。
Seven domains, one connected map七大领域，一张连通的地图
Together these cover the structure of U.S. high school mathematics — organized so prerequisites and dependencies are visible, not hidden.它们共同覆盖美国高中数学的完整结构——组织方式让先修关系和依赖一目了然，而非藏在暗处。
Number & Quantity数与量
Number systems, representations, and the language of quantity.数系、表征，以及量的语言。
Foundation基础Algebra代数
Expressions, equations, transformations and symbolic reasoning.表达式、方程、变换与符号推理。
2 modules2 个模块Functions函数
Input–output relationships, families, transformations and modeling.输入输出关系、函数族、变换与建模。
2 modules2 个模块Geometry几何
Shape, space, measurement, coordinates and proof.形状、空间、度量、坐标与证明。
Spatial reasoning空间推理Statistics & Probability统计与概率
Data analysis, distributions, inference and decisions under uncertainty.数据分析、分布、推断与不确定性下的决策。
Data literacy数据素养Trigonometry & Periodicity三角与周期
Circular functions, periodic behavior and wave modeling.圆函数、周期行为与波的建模。
Bridge to calculus通往微积分Reasoning & Proof推理与证明
Logical argumentation, justification and proof construction.逻辑论证、说理与证明构建。
LIGHT HOPE emphasisLIGHT HOPE 特别强调All connected全部连通
A prerequisite graph links nodes across modules — so a gap in one domain explains a struggle in another.一张先修关系图把跨模块的节点连起来——一个领域的断点能解释另一个领域的吃力。
Dependency graph依赖图谱Built for real teaching, not demos为真实教学而建，而非演示
The map is backed by a structured knowledge database — the part that takes years of teaching to build.地图背后是一套结构化知识数据库——需要多年教学经验才能积累的部分。
8 interactive module maps8 张交互式模块地图
Each concept is a node with dependency edges you can trace visually.每个概念都是带依赖边的节点，可以直观追溯。
Per-node diagnostic detail逐节点诊断详情
Level descriptions, common errors, diagnostic tasks and repair actions for each node.每个节点都有层级描述、常见错误、诊断任务和修复动作。
Radar profile per student每位学生的雷达画像
See strengths and gaps across domains at a glance, with a target ring for the next level.一眼看清各领域的强项与缺口，并标出下一层级的目标环。
Bilingual parent report家长双语报告
A plain-language EN / 中文 consultation view — printable, written for parents, not specialists.一份通俗的中英文咨询视图——可打印，写给家长而非专家。
Clarity a parent can act on家长能据以行动的清晰度
Know the real gap看清真正的缺口
Replace "he's just bad at math" with a specific, nameable structural break.把"他就是数学差"换成一个具体、可命名的结构断点。
Stop random practice停止盲目刷题
Every session targets a node and a repair method with a time estimate.每次练习都对准一个节点和一种带时间估算的修复方法。
Plan the pathway规划路径
Map current levels against a school, AP/honors, competition or pre-college trajectory.把当前水平对照校内、AP/荣誉、竞赛或大学预备的路线。
The 10 repair methods十种修复方法
Made for the family around the student为学生身边的整个家庭而设计
Parents家长
A bilingual, jargon-free picture of where your child stands and what to do next — no math degree required.一幅中英双语、不含术语的画面，告诉你孩子处在哪里、下一步该做什么——不需要数学学位。
Students学生
Grades 9–12 across school, AP/honors, competition (AMC→USAMO) and pre-college pathways.9–12 年级，覆盖校内、AP/荣誉、竞赛（AMC→USAMO）与大学预备路径。
Tutors & teachers老师与辅导者
A shared diagnostic vocabulary that turns "practice more" into a precise, structural plan.一套共同的诊断语言，把"多练"变成精确的结构化方案。
Four learning pathways四条学习路径
School Pathway校内路径
The standard U.S. high school math sequence.标准的美国高中数学序列。
Competition竞赛路径
AMC → AIME → USAMO contest preparation.AMC → AIME → USAMO 竞赛准备。
AP / HonorsAP / 荣誉
Advanced Placement and honors-level coursework.AP 先修与荣誉级别课程。
Pre-College大学预备
Mathematical maturity for university-level work.面向大学阶段的数学成熟度。
Start with a diagnosis从一次诊断开始
MathMap is part of the LIGHT HOPE education program. Pricing is not published yet — the options below are illustrative and by consultation. Nothing here is a committed price.MathMap 是 LIGHT HOPE 教育项目的一部分。价格尚未公布——下方选项仅为示意、以咨询为准，均非承诺价格。
- Guided tour of the domain map领域地图讲解导览
- How the L0–L4 levels work了解 L0–L4 层级
- Q&A for parents (EN / 中文)家长答疑（中 / EN）
- Node-by-node assessment across domains跨领域逐节点评估
- Personal radar profile & gap map个人雷达画像与缺口地图
- Bilingual written parent report中英双语书面家长报告
- Prioritized repair-method plan排序后的修复方法方案
- Repeated diagnostics to track level change反复诊断追踪层级变化
- Pathway planning (school / AP / competition)路径规划（校内 / AP / 竞赛）
- Session-by-session structural focus每次练习的结构化聚焦
Figures and tiers above are illustrative placeholders, not published prices. Final scope and pricing are set by consultation.以上分层与说法均为示意占位，并非已公布价格。最终范围与价格以咨询为准。
See where your student actually stands看清孩子真正的位置
Request access to a structural diagnosis and a bilingual parent report. We'll follow up to arrange a walk-through.申请一次结构化诊断和中英双语家长报告。我们会跟进安排一次导览。