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Mathematical Science Teachers, Postsecondary

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Mathematical Science Teachers, Postsecondary

315 Skills

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315 Skills

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Agente Matemática — A Beleza que se Prova

Agente especialista em Matemática para FUVEST — Ciência da Computação (IME-USP). Esta é uma das duas disciplinas específicas da 2ª fase de Antonio: domínio total é inegociável. Cobre todo o programa FUVEST: Conjuntos, Funções, PA/PG, Logaritmos, Trigonometria, Geometria Plana/Espacial/ Analítica, Matrizes, Combinatória, Probabilidade e Estatística. Opera em total integração com vestibular-tutor (método socrático), vestibular-srs (flashcards), vestibular-planner (ciclos) e vestibular-energia (estado cognitivo). Prioridade MÁXIMA no ciclo — 2 horas líquidas diárias. Acionar quando Antonio mencionar qualquer tópico de matemática, pedir resolução de exercícios, quiser entender um conceito, ou o orchestrator abrir sessão de Matemática.

Wellness & Gesundheit

Math Intuition Builder

Develops mathematical understanding through examples, visualization, and analogy

Aris Proof Writer

Writes rigorous mathematical proofs for ML/AI theory. Use when asked to prove a theorem, lemma, proposition, or corollary, fill in missing proof steps, formalize a proof sketch, 补全证明, 写证明, 证明某个命题, or determine whether a claimed proof can actually be completed under the stated assumptions.

Proof Structure Analyzer

Analyze and restructure mathematical proofs for clarity and completeness

Philosophie & Ethik

Formal Logic Reasoner

Skill for formal logical reasoning and argument validation

Latex Math Formatter

High-quality LaTeX mathematical typesetting

Memory

Structured daily and weekly learning memory with dual graph snapshots.

MathClaw-ruc385

Philosophie & Ethik

Rational Function Graphing Analysis

Systematically analyze a rational function to determine its domain, intercepts, asymptotes, and behavior for graphing purposes.

Philosophie & Ethik

Geometry Definition Equivalence Analysis

Analyze geometric definitions to determine equivalence or non-equivalence by formulating conditional statements, providing 2-column proofs using congruence theorems, or identifying counterexamples.

Vertrieb & Marketing

Explain Concepts With Step By Step Numerical Examples

Use this skill when explaining abstract mathematical or algorithmic concepts. The user requires explanations to be lively and intuitive by combining rigorous theoretical steps with concrete numerical examples after every step.

Finanzen & Investitionen

Rational Function Graphing Analysis

Systematically analyze a rational function to determine its domain, intercepts, asymptotes, and behavior across intervals to prepare for graphing.

Discrete Math Study Guide And Practice Generator

Generates a comprehensive study guide, expected problem formats, general solution strategies, and similar practice problems with solutions based on provided course review materials.

Wahrsagung & Mystik

Math Tutoring With Growth Mindset As Carmen

Explain math concepts to low-achieving students using a growth mindset approach while adopting the persona of Carmen.

Calculus Derivative Calculation And Simplification

Calculates the derivative of a mathematical function and provides the result in a fully simplified algebraic form, ensuring common factors are factored out and expressions are reduced.

Bilingual Statistics Qa

Provides answers to statistics questions in both English and Chinese.

Math Explanation With Humor And Full Demonstration

Explain mathematical concepts by incorporating a specific percentage of humorous sentences (approx. 5%) and providing a complete, step-by-step demonstration of the derivation or solution.

Solving Rational Inequalities

Solves rational inequalities by isolating the expression, finding critical points (meaningful numbers), testing intervals, and expressing the solution in interval notation.

IB Math AA HL IA Exploration on Simple Harmonic Motion

Generate a mathematical exploration following the IB Math AA HL Internal Assessment style, focusing on Simple Harmonic Motion (SHM) modeled by second-order differential equations. The task involves analyzing the relationship between system parameters (mass, spring constant, initial conditions) and the resulting motion characteristics.

Wahrsagung & Mystik

Fast Math Mcq Solver With Eli5

Solves math MCQs using 30-second optimized strategies and heuristics, explaining concepts simply for a five-year-old.

Finanzen & Investitionen

Calculus Problem Solving With Detailed Step By Step Explanations

Solves calculus problems (related rates, extrema, inflection points, tangents) using a highly granular, step-by-step approach that explicitly states rules, explains algebraic manipulations, and uses transitional phrases.

Philosophie & Ethik

Simple Math Proof Explanation With Custom Terminology

Explain mathematical proofs regarding primes and irrationality using simple language, custom terminology ('whole-divisible'), and specific notation (Unicode superscript ²), while avoiding complex factorization.

Algebra Word Problem Generator With Graph Constraints

Generates a custom word problem scenario involving two variables, models it with standard form equations, converts them to slope-intercept form, and solves the system while ensuring the solution fits within a 0-10 graph range.

System Of Equations Word Problem Generator And Solver

Generates a custom word problem scenario, models it with two equations in standard form, converts them to slope-intercept form, graphs them, and finds the solution, ensuring the values fit within a 0-10 range.

Adaptive Answer Evaluator

Provides direct, unexplained answers for math, code, and multiple-choice questions. For True/False statements, performs detailed evaluations including rewriting, justification for false items, and a summary count.

Calculus Analysis with Symbolic Notation and Interval Formatting

Analyze functions to find critical points, local extrema, concavity intervals, and inflection points using the Second Derivative Test. Output must strictly follow specific symbolic notation rules, including using 'co' for infinity, 'U' for unions, 'Ø' for empty intervals, and 'DNE' for non-existent values.

Philosophie & Ethik

Explain Math Concepts With Step By Step Numerical Examples

Explains mathematical or machine learning concepts by combining abstract reasoning with concrete numerical examples after every step to ensure the explanation is lively and intuitive.

Mathlens

专业的数学老师辅导技能，用于深入浅出的解答数学题，生成HTML讲解文档和带配音的Manim动画视频，解答细致，深入浅出，浅显易懂，比较适合一般学情的学生。核心工作流：数学分析 → HTML可视化 → 分镜脚本 → TTS音频 → 验证更新 → 脚手架 → Manim代码 → 渲染验证触发条件：学生粘贴数学题图片、需要教学视频、需要HTML讲解资料

Architekturmuster

Practice Problem Sequence Designer

Generate a scaffolded sequence of practice problems with graduated difficulty and strategic variability. Use when creating worksheets, homework sets, or independent practice materials.

GarethManning170

Architekturmuster

Worked Example To Problem Solving Transition Designer

Design the transition from worked examples to independent problem-solving using expertise-reversal principles. Use when students follow examples but cannot solve problems alone.

GarethManning170

Architekturmuster

Worked Example Fading Designer

Design a worked example fading sequence from fully worked examples through to independent practice. Use when teaching procedures, algorithms, or multi-step processes to novice learners.

GarethManning170

Mathematical Science Teachers, Postsecondary Skills | Skills Pool