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Mike X Cohen

Artificial Intelligence (AI) has the Potential to Reshape How Math is Taught and Learned

Artificial Intelligence (AI) is transforming various aspects of our lives, and education is no exception. Particularly in the domain of mathematics, AI presents unprecedented possibilities that can revolutionize the way math is taught and learned.

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Artificial Intelligence (AI) has the Potential to Reshape How Math is Taught and Learned

Artificial Intelligence (AI) is transforming various aspects of our lives, and education is no exception. Particularly in the domain of mathematics, AI presents unprecedented possibilities that can revolutionize the way math is taught and learned.

  1. Personalized Learning Experience: AI large language models (LLM) like ChatGPT can tailor educational content to individual learners, adapting to their unique learning style, pace, and areas of interest. This personalized learning experience can lead to a deeper understanding of mathematical concepts.

  2. Practice and Feedback: AI systems can generate an almost infinite number of practice problems, providing instant, step-by-step feedback. This allows learners to test their understanding, learn from mistakes, and improve their problem-solving skills more effectively than traditional learning methods.

  3. Accessible Tutoring: AI can act as a personal tutor, providing 24/7 assistance and explanations. It can democratize access to quality math education, overcoming constraints like availability of teachers, geographic location, or financial barriers.

  4. Interactive Learning: AI can make math learning more interactive and engaging. From solving complex equations to creating math jokes, puzzles, and even bedtime stories about math, AI brings a fun element into math education that can motivate learners.

  5. Real-world Applications: AI can help learners understand and apply math to real-world scenarios, fostering a more practical and applied understanding of mathematical principles.

  6. Lifelong Learning: As an always-accessible resource, AI encourages continuous, lifelong learning. It allows individuals to learn at their own pace, making it easier to balance learning with other life responsibilities.

  7. Teaching Aid: AI doesn't replace teachers, but rather enhances their capabilities. It can free teachers from repetitive tasks, giving them more time to focus on fostering critical thinking, guiding discussions, and providing personalized support to students.

Unleash the Power of ChatGPT for Math Mastery

Join this enriching journey through mathematics where you will learn how to make use of cutting-edge AI technology – ChatGPT. Led by expert educator Mike X Cohen (that's me. ), this course will equip you with the skills to learn, practice, understand, and communicate complex mathematical concepts effectively and enjoyably.

Whether you're a student looking to solidify your understanding, an aspiring data scientist, or a professional seeking to hone your technical skills, this course offers something for everyone.

Unique Aspects of This Course

  1. AI-Assisted Learning: This course takes a pioneering step in the field of education by integrating AI technology, specifically ChatGPT, into the learning process. ChatGPT assists in comprehending complex concepts, practicing problems, and providing a different perspective on mathematical theories.

  2. Understanding, Not Rote Learning: Rather than focusing on rote learning, this course aims to foster a deep understanding of mathematical concepts, encouraging critical thinking and analytical skills.

  3. Interactive and Dynamic Content: The course offers a dynamic learning experience with interactive modules and real-world examples. It's designed to cater to different learning styles and paces.

  4. Math Communication Skills: This course goes beyond calculations, emphasizing the importance of effective mathematical communication. It guides you on how to articulate mathematical ideas, translate equations into English, and create precise definitions of mathematical terms.

  5. Unique Instructor: Mike X Cohen is a seasoned educator who brings his experience from a successful research career and a unique approach to teaching mathematics. His commitment to student understanding sets this course apart.

  6. Applicable Across Disciplines: Whether you're a student, a data scientist, an engineer, or a lifelong learner, the skills you'll acquire in this course have broad applications. The course content goes beyond pure mathematics, touching on practical applications in fields like physics, economics, and statistics.

  7. Fun and Engaging: Math is fun. (No, really, it is. Well, it can be. I promise. Really.) The course includes additional sections on math jokes, puzzles, and bedtime stories about maths. Learn and laugh at the same time.

  8. Ethics of AI in Learning: The course addresses critical issues concerning the role of AI in education, its accuracy, accountability, and potential future developments.

This course is a unique blend of traditional mathematical understanding, innovative AI technology, and the joy of learning math. It's not just a math course; it's an adventure into the world of mathematics with ChatGPT as your guide.

Course Sections

  1. Introductions: Get started with a comprehensive overview and learn how to navigate Udemy effectively.

  2. Skill 1: Use ChatGPT: Familiarize yourself with ChatGPT, its various versions, and how to guide it to assist you in understanding and solving mathematical problems.

  3. Skill 2: Understand concepts: Dive into quadratic equations, explore examples, analogies, and leverage ChatGPT to gain varying perspectives and levels of detail.

  4. Skill 3: Practice, practice, practice. Develop your problem-solving strategies, learn to generate new problems, and acquire time-management skills.

  5. Skill 4: Communicate Mathematics: Learn to communicate mathematical ideas effectively. ChatGPT will assist you in explaining terms, equations, and clarifying your explanations.

  6. Skill 5: Check your Math Reasoning: Learn how to use ChatGPT as a tool to verify your solutions, identify errors, and guide you through problem decomposition.

  7. Skill 6: Translate the World into Math: Get a grip on translating real-world problems from physics, economics, and statistics into mathematical language.

  8. Skill 7: Self-study and Lifelong Learning: Use ChatGPT to identify knowledge gaps, design self-guided learning trajectories, and have fun discovering random topics in mathematics.

  9. Extra: Nerdy Math Fun with ChatGPT: Enjoy maths humor, puzzles, and engage in philosophical queries about mathematics and its existence.

  10. Ethics, Future of AI-assisted Learning: Delve into the implications of AI in education and its potential future roles.

In this course, you will not just learn facts; you will learn skills. This unique approach to teaching maths and technical subjects is bound to make you a master in any subject you pursue.

Created by Mike X Cohen, a former neuroscience professor with a strong commitment to help students understand complex topics, this course provides you a unique and engaging way to learn maths. And all with the help of AI.

Enroll today and let's explore the wonderful world of maths together with ChatGPT by your side.

Enroll now

What's inside

Learning objectives

  • Using chatgpt
  • Registering with openai to use chatgpt
  • Chatgpt prompt engineering, especially as it relates to math
  • How to learn about mathematics from ai
  • How chatgpt can help you with your homework
  • Why chatgpt gets things wrong and how to know when to doubt its response
  • How chatgpt can find errors in your logical reasoning
  • How teachers can use ai to teach math
  • How to use a virtual maths tutor

Syllabus

Introduction
You will learn skills not facts
Master Udemy in 6 minutes!
Skill 1: Use ChatGPT
Read more
What (or who?) is a ChatGPT?
ChatGPT versions and costs
Accessing ChatGPT
Hello ChatGPT :)
Prompt engineering 1: general tips
Prompt engineering 2: special for math!
Guide ChatGPT to write a math blog post
Skill 2: Understand concepts
ChatGPT can help you understand math
Example of quadratic equation
Explanations, examples, and analogies
Specifying levels of detail and length
Explanations from different perspectives
Skill 3: Practice, practice, practice!
Endless practice to hone your math skills
Generate new problems (and solutions!)
Custom-tailor difficulty level
Find out common exam questions
Develop problem-solving strategies
Advice on study skills and time-management
Skill 4: Communicate mathematics
Speak (and write) math fluently
Make math look beautiful with LaTeX
Define and explain math terms
Explain equations in English
ChatGPT can clarify and rewrite your explanations
Skill 5: Check your math reasoning
Can ChatGPT catch and correct math mistakes?
How to tell if ChatGPT is "hallucinating"
Trying to investigate ChatGPT's mistakes...
Step-by-step solution check
Problem decomposition
Exercise explanation
Skill 6: Translate the world into math
Translate sentences into equations
Physics word problems
Economics
Statistical hypotheses
Skill 7: Self-study and lifelong learning
Finding popular resources on a topic
Discovering the rhythms of math
Design a self-guided learning trajectory
Mathematical tip-of-the-tongue
Identify gaps in knowledge or courses
Discover random topics
Extra: Nerdy math fun with ChatGPT
Can ChatGPT make math jokes?
Math limericks and haikus
Math puzzles & riddles
Create bedtime stories about math
Fantasy dialogs between mathematicians
Unsolved math problems from history
0=1
Does math exist? And other philosophical queries
Ethics, future of AI-assisted learning
Why learn ___ when we have ChatGPT?
Will ChatGPT make everyone more stupider?
Will ChatGPT replace teachers?
Accuracy and accountability
How I used ChatGPT for this course
Bonus section
Bonus material

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Unleash your math potential with ChatGPT with these activities:
Review Quadratic Equations
Strengthen your understanding of quadratic equations before diving into the course, as they are a fundamental concept.
Browse courses on Quadratic Equations
Show steps
  • Review the standard form of a quadratic equation.
  • Practice solving quadratic equations by factoring.
  • Practice solving quadratic equations using the quadratic formula.
Mathematics for Machine Learning
Expand your knowledge of the mathematical foundations of AI.
Show steps
  • Read the chapters on linear algebra and calculus.
  • Identify areas where ChatGPT can assist with understanding or problem-solving.
  • Experiment with using ChatGPT to solve problems from the book.
Practice Prompt Engineering for Math
Improve your ability to craft effective prompts for ChatGPT to solve math problems.
Show steps
  • Experiment with different prompt styles for the same math problem.
  • Analyze ChatGPT's responses and refine your prompts accordingly.
  • Try prompts that ask for step-by-step solutions.
Four other activities
Expand to see all activities and additional details
Show all seven activities
How to Solve It
Improve your problem-solving skills by studying general problem-solving techniques.
Show steps
  • Read the book and take notes on the key problem-solving strategies.
  • Apply the strategies to practice problems.
  • Reflect on how ChatGPT can be used to support these strategies.
Create a Math Joke Generator with ChatGPT
Reinforce your understanding of mathematical concepts by using ChatGPT to generate math jokes and riddles.
Show steps
  • Prompt ChatGPT to generate math jokes on specific topics.
  • Evaluate the jokes for accuracy and humor.
  • Refine your prompts to improve the quality of the jokes.
Build a Math Equation Translator
Deepen your understanding of mathematical communication by building a tool that translates equations into plain English using ChatGPT.
Show steps
  • Design the input and output formats for the translator.
  • Use ChatGPT to generate English explanations for mathematical equations.
  • Test and refine the translator with various equations.
Tutor a Student in Math with ChatGPT
Solidify your understanding by helping others learn math using ChatGPT as a tool.
Show steps
  • Find a student who needs help with math.
  • Use ChatGPT to generate explanations and practice problems.
  • Guide the student through the problems and provide feedback.

Career center

Learners who complete Unleash your math potential with ChatGPT will develop knowledge and skills that may be useful to these careers:
AI Prompt Engineer
An AI Prompt Engineer specializes in crafting effective prompts for large language models to achieve specific outcomes. Effective instruction of AI tools requires mathematical precision and careful concept formation, which can be enhanced by this course. As the individual will be required to leverage a great deal of math, they may find the material directly useful for understanding how to best work with these models.
Math Tutor
Math Tutors provide personalized instruction and support to students who need help with mathematics. The tutor works either individually or in small groups. This course may be useful for math tutors as it introduces techniques for how to generate practice problems, and clarify explanations, therefore providing tutors with innovative teaching resources. They will have a broader range of experiences to draw from as a tutor.
Quantitative Analyst
Quantitative Analysts, also known as quants, develop and implement mathematical models for pricing, trading, and risk management in financial markets. These models are used to make predictions and inform investment decisions. This course can help quantitative analysts deepen their mathematical knowledge and refine their quantitative reasoning skills. The course's emphasis on using AI tools like ChatGPT to understand complex concepts, practice problem-solving, and verify solutions aligns directly with the core responsibilities of a quantitative analyst.
Machine Learning Engineer
Machine Learning Engineers develop and implement machine learning algorithms and models. Given the large amount of computer code, communicating mathematical concepts clearly is important. The course can address this issue and help those in the role communicate algorithms effectively. The course's focus on AI-assisted learning, interactive content, and communication skills can inform the work products they produce.
Data Scientist
A Data Scientist analyzes complex datasets, develops algorithms, and creates models to extract meaningful insights and inform business decisions. Those in this role must be able to translate real-world problems into mathematical language. This course helps data scientists hone their technical skills by enhancing their ability to understand and communicate mathematical concepts. The course's focus on translating the world into math, coupled with the use of AI tools like ChatGPT to assist in problem-solving, aligns directly with the core responsibilities of a data scientist.
Statistician
Statisticians collect, analyze, and interpret numerical data to identify trends, make predictions, and solve complex problems. Statisticians require a strong foundation in mathematical principles. This course may be useful because it offers a unique approach to understanding and applying these principles through AI-assisted learning. The course's emphasis on using ChatGPT to explore mathematical concepts, practice problem-solving, and communicate statistical hypotheses aligns directly with the skills required by a statistician. The course may also help them stay on top of educational trends.
Economist
Economists study the production, distribution, and consumption of goods and services. In this field, they analyze economic trends, develop models, and provide policy recommendations. They rely heavily on mathematical and statistical tools. This course may assist economists in solidifying their understanding of mathematical concepts. The course's focus on translating real-world problems from economics into mathematical language, coupled with the use of AI tools like ChatGPT to assist in problem-solving, aligns directly with the work that economists may do.
Instructional Designer
Instructional Designers create engaging and effective learning experiences by applying pedagogical principles and instructional design models. They often incorporate technology into educational programs. This course can help instructional designers understand how to use AI tools like ChatGPT to enhance math education. The course's emphasis on AI-assisted learning, interactive content, and communication skills can inform the development of innovative and effective math courses.
Mathematics Teacher
A Mathematics Teacher guides students in understanding mathematical concepts. This instructor not only imparts knowledge but also fosters critical thinking and problem-solving skills. A course such as this one may be useful because it introduces techniques for communicating mathematical ideas effectively, generating practice problems, and clarifying explanations, therefore providing instructors with innovative teaching resources. The course provides valuable strategies that mathematics teachers can adapt to create more engaging and personalized learning experiences for their students.
Physics Teacher
A Physics Teacher instructs students in the principles and concepts of physics, fostering an understanding of the natural world. Often, they introduce how principles can be described mathematically. These courses may be useful because they may introduce innovative techniques for communicating mathematical ideas effectively, generating practice problems, and clarifying explanations, therefore providing teachers with innovative teaching resources. The course provides valuable strategies that physics teachers can adapt to create more engaging and personalized learning experiences.
Curriculum Developer
Curriculum Developers are involved in designing and creating educational materials and programs for various subjects, including mathematics. This also involves incorporating new technologies into education. This course may be useful for curriculum developers as it provides insights into how AI tools like ChatGPT can be integrated into the math learning process. The course's focus on AI-assisted learning, interactive content, and communication skills can inform the development of more engaging and effective math curricula.
Financial Analyst
Financial Analysts evaluate financial data, provide investment recommendations, and manage financial risks for organizations or individuals. A deep understanding of mathematical concepts and models is essential. This course can help financial analysts to hone their analytical and problem-solving skills. The course's focus on translating real-world problems into mathematical language, coupled with the use of AI tools to assist in problem-solving, aligns directly with the core responsibilities of this role. Moreover, they may use AI to generate models.
Research Scientist
Research Scientists design and conduct experiments, analyze data, and publish findings in their respective fields, often requiring advanced degrees such as a master's degree or a doctorate. This course may be useful as it provides them with skills to leverage AI tools. The course's focus on using ChatGPT to explore mathematical concepts and verify solutions aligns with the core responsibilities that Research Scientists undertake.
Software Engineer
A Software Engineer designs, develops, and tests software applications and systems. Mathematical concepts are crucial for algorithm design, data structures, and problem-solving. This course may be useful because it helps engineers to solidify their understanding of mathematical principles and apply them effectively in their work. The course's focus on leveraging AI tools like ChatGPT to understand complex concepts, practice problem-solving, and improve communication skills aligns directly with the skills required by a software engineer.
Market Research Analyst
A Market Research Analyst studies market conditions to examine potential sales of a product or service. Those in this role use statistical software. This course can help market research analysts enhance their analytical and problem-solving skills using AI learning tools. The course's focus on translating real-world problems into mathematical language, coupled with the use of AI tools like ChatGPT to assist in problem-solving and to clarify explanations, aligns with the core duties of a market research analyst.

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Unleash your math potential with ChatGPT.
Provides a general framework for problem-solving, which is highly relevant to the course's emphasis on understanding and applying mathematical concepts. It introduces heuristics and strategies that can be used to approach a wide range of mathematical problems. While not specific to AI, it provides a valuable foundation for effective problem-solving that can be enhanced with ChatGPT. This book is commonly used as a reference for mathematical problem solving.
Provides a comprehensive overview of the mathematical concepts underlying machine learning, including linear algebra, calculus, and probability. It is useful for students who want to apply ChatGPT to more advanced mathematical problems in data science. This book is more valuable as additional reading than it is as a current reference. It is commonly used as a textbook at academic institutions.

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