Advertisement
| chatgpt solve math problems: How Not to Be Wrong Jordan Ellenberg, 2014-05-29 A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description. |
| chatgpt solve math problems: The ChatGPT Revolution Donna McGeorge, 2024-09-30 Learn how to simplify your life with AI in this essential guide — now fully updated and revised, with even more ideas to spark creativity and boost efficiency The ChatGPT Revolution is the ultimate quick-start guide to unlocking the power of generative AI. We’re on the edge of an AI revolution ... but what does that mean for you? It’s time to get curious about how the latest tech can help you handle your everyday load, at work and at home! Whether you’re overwhelmed by repetitive, time-consuming tasks or you’re simply looking for a fresh injection of creativity, ChatGPT has got your back. With this essential handbook, you’ll learn how quickly and easily apps like ChatGPT can turn your to-do list into a ta-da list. From emails and reports to planning your next meal or vacation, generative AI can help you simplify your daily tasks and responsibilities. The ChatGPT Revolution shows you exactly how to use this innovative tech to save on time and stress. Sharing practical tips and fun ideas, acclaimed productivity expert Donna McGeorge unpacks everything you need to know. Learn how generative AI is already being used in everyday life — and how tools like ChatGPT are transforming the future of work and life admin Understand the different tasks that AI tools like ChatGPT, Copilot, and DALL-E can do — and when and how to use these tools most effectively Get step-by-step advice for writing smart, specific prompts and follow-up queries to produce better results Discover tips for using ChatGPT on the go, with the mobile app and voice and photo capability Take control, revitalise your workflows, and overcome procrastination and creative blocks — with entertaining examples and activities for work, home, creative writing, and more Whether you’re a busy professional or you simply want an answer to the dreaded question ‘What’s for dinner?,’ The ChatGPT Revolution reveals how generative AI can make your life easier. AI technologies are here to stay. This is your invitation to join the revolution. Pick up this book and learn how to harness the power of AI, so you can free up more time and energy for the things that truly matter. |
| chatgpt solve math problems: Let's Play Math Denise Gaskins, 2012-09-04 |
| chatgpt solve math problems: Modern Generative AI with ChatGPT and OpenAI Models Valentina Alto, 2023-05-26 Harness the power of AI with innovative, real-world applications, and unprecedented productivity boosts, powered by the latest advancements in AI technology like ChatGPT and OpenAI Purchase of the print or Kindle book includes a free PDF eBook Key Features Explore the theory behind generative AI models and the road to GPT3 and GPT4 Become familiar with ChatGPT's applications to boost everyday productivity Learn to embed OpenAI models into applications using lightweight frameworks like LangChain Book Description Generative AI models and AI language models are becoming increasingly popular due to their unparalleled capabilities. This book will provide you with insights into the inner workings of the LLMs and guide you through creating your own language models. You'll start with an introduction to the field of generative AI, helping you understand how these models are trained to generate new data. Next, you'll explore use cases where ChatGPT can boost productivity and enhance creativity. You'll learn how to get the best from your ChatGPT interactions by improving your prompt design and leveraging zero, one, and few-shots learning capabilities. The use cases are divided into clusters of marketers, researchers, and developers, which will help you apply what you learn in this book to your own challenges faster. You'll also discover enterprise-level scenarios that leverage OpenAI models' APIs available on Azure infrastructure; both generative models like GPT-3 and embedding models like Ada. For each scenario, you'll find an end-to-end implementation with Python, using Streamlit as the frontend and the LangChain SDK to facilitate models' integration into your applications. By the end of this book, you'll be well equipped to use the generative AI field and start using ChatGPT and OpenAI models' APIs in your own projects. What you will learn Understand generative AI concepts from basic to intermediate level Focus on the GPT architecture for generative AI models Maximize ChatGPT's value with an effective prompt design Explore applications and use cases of ChatGPT Use OpenAI models and features via API calls Build and deploy generative AI systems with Python Leverage Azure infrastructure for enterprise-level use cases Ensure responsible AI and ethics in generative AI systems Who this book is for This book is for individuals interested in boosting their daily productivity; businesspersons looking to dive deeper into real-world applications to empower their organizations; data scientists and developers trying to identify ways to boost ML models and code; marketers and researchers seeking to leverage use cases in their domain – all by using Chat GPT and OpenAI Models. A basic understanding of Python is required; however, the book provides theoretical descriptions alongside sections with code so that the reader can learn the concrete use case application without running the scripts. |
| chatgpt solve math problems: ChatGPT for Special Education: Tailored Teaching Tools Jade Summers, 🌟 Discover the Future of Education with AI! 🌟 Are you ready to explore how artificial intelligence is revolutionizing special education? ChatGPT for Special Education: Tailored Teaching Tools offers a groundbreaking look into the transformative potential of ChatGPT, offering a beacon of hope and innovative solutions for students with disabilities. Why settle for a one-size-fits-all approach when AI can customize learning to each student's unique needs? This essential guide delves deep into how ChatGPT creates personalized learning experiences that enhance engagement, boost comprehension, and increase retention. Witness the power of AI as it dynamically adjusts lessons to match the pace and progress of each individual, creating a learning journey that is as unique as your students. Real-life Impact Through Case Studies Through compelling case studies, you’ll see firsthand the profound impact these tailored paths have had on real students. Discover how AI not only supports academic growth but also nurtures communication skills through interactive, real-life scenarios. ChatGPT’s ability to simulate detailed conversations provides a safe and scalable platform for students to practice both verbal and non-verbal communication, bridging the gap in understanding and expression. Psychological and Confidence Benefits Moreover, this guide highlights the psychological and confidence-boosting benefits of AI-assisted learning. Experience how the non-judgmental, endlessly patient nature of AI tutors fosters a supportive and empowering learning environment, bolstering both emotional and educational growth. ChatGPT for Special Education: Tailored Teaching Tools is not just a book—it's a resource, a tool, and an inspiration for educators, parents, and technology enthusiasts. Embrace the opportunity to make a meaningful impact on the lives of learners with special needs. 📘 Grab your copy today and be part of the educational revolution that is shaping the future of learning in special education! Transform lives with the power of AI. 📘 |
| chatgpt solve math problems: Mastering ChatGPT Sam Choo, Unlock the power of artificial intelligence with Mastering ChatGPT. This essential guide takes you on a journey to discover ChatGPT's capabilities. Learn how to interview brilliant minds, consult the experts, create content, solve problems, and generate sales ideas. This book empowers you to communicate effectively and master various skills. With step-by-step instructions, you'll explore email writing, programming, humor, job interviews, math problem-solving, and more. Prepare to be amazed as ChatGPT becomes your trusted companion for endless possibilities. |
| chatgpt solve math problems: Unlocking Wealth with AI_ Can ChatGPT Really Make You Money ? Sunny Joyfield, 2024-10-22 Unlocking Wealth with AI: Can ChatGPT Really Make You Money? AI is no longer a futuristic dream—it’s a reality, and it’s changing the way we live, work, and even earn a living. Imagine being able to tap into the power of artificial intelligence to create new income streams, automate tasks, and scale your business in ways you never thought possible. Now imagine doing all of this with one of the most advanced AI tools available today: ChatGPT. But here’s the big question: Can ChatGPT really make you money? In this ebook, we’re not just going to speculate—we’re going to show you how people are already turning this AI into a profitable asset. Whether you’re a content creator, a freelancer, an entrepreneur, or someone looking to launch an AI-powered business, ChatGPT offers opportunities that are waiting to be unlocked. What if you could: Generate high-quality blog posts or marketing content in a fraction of the time? Build custom chat bots that handle customer inquiries 24/7? Create a scalable, subscription-based business powered by AI? Offer innovative AI services that clients can’t resist? These aren’t just ideas—they’re realities that people are leveraging right now to generate income. And you can too. This eBook will take you step-by-step through the ways ChatGPT is being used to unlock wealth. You’ll discover: How freelancers are using ChatGPT to supercharge their writing and editing services. Why businesses are turning to AI-powered chatbots for customer service. How to scale content creation for blogs, affiliate marketing, and social media with ChatGPT. The secrets behind building an AI-based product or service business, and how to market it. But it’s not just about making money—it’s about staying ahead in a world where AI is transforming the way we work. You’ll also learn about the challenges and limitations of using AI, and how to combine your own creativity with the power of ChatGPT to achieve something truly remarkable. The world is changing, and those who can harness AI effectively will have a huge advantage. If you’re ready to take control of this technology and turn it into a tool for success, then this book is for you. Let’s unlock the doors to a new era of income generation. Let’s answer the question: Can ChatGPT really make you money? You’re about to find out. |
| chatgpt solve math problems: ChatGPT & Co. Rainer Hattenhauer, 2024-09-18 Would you like to know how you can benefit from generative artificial intelligence (AI)? Then this book will be of great help to you. It shows you how AI can make your life easier, and it will teach you what added value the current application scenarios of ChatGPT, Midjourney and various other AI tools offer and where their limits lie. Whether you want to write text, conduct research, generate images or create your own program code, you can get started right away without any previous knowledge. Bolstered with many practical examples from the most diverse areas of application, this book presents ChatGPT as part of an ever-growing toolkit, and guides you on which tools to utilize and apply. This is a valuable workbook for those looking to harness and incorporate ChatGPT and generative AI into their work, studies or general life. Key Features: • Demonstrates the profitable use of ChatGPT and other AI tools to make work easier at work and in everyday life • Provides practical examples to help with perfect prompts • Shows how to create impressive images with just a few words • Provides programmers with powerful tools to make the creation of professional software a child’s play • Dives deeper into the topic of text-generative AI for advanced users and provides valuable tips and tricks |
| chatgpt solve math problems: 40 Creative Ideas for Making Money with ChatGPT Martín Arellano, |
| chatgpt solve math problems: Impact and implications of AI methods and tools for the future of education Kingsley Okoye, Samira Hosseini, Kamal Kant Hiran , Julius Nganji, 2024-06-07 The congruence of technology such as AI and its use for education can help transform the different pedagogical practices and future of education. Educational organizations like The UNESCO and The World Bank are already calling for research and development-oriented projects, and creation/mobilization of technological initiatives on how to re-imagine education and operationalize the use of digital technologies for its purpose, the Digitized-Education. Those goals mean or include methodological approaches and wide adoption of the AI-methods in fostering education in the classroom or learning environments. Also noteworthy is the fact that digitized-education is now an inevitable and integral element to achieving the global sustainable development goals (SDGs) particularly the SDG4 that promotes quality of education. |
| chatgpt solve math problems: Artificial Intelligence Applications in K-12 Helen Crompton, Diane Burke, 2024-11-12 Artificial Intelligence Applications in K-12 offers authentic instances of how AI systems can be integrated into K-12 education today. As AI technologies rapidly evolve and become more accessible to primary, middle, and high schools worldwide, there is a pressing need for new demonstrations that highlight the challenges, opportunities, and ethical considerations associated with these powerful tools. This book explores the various roles of AI within pedagogy and assessment, school administration, student data management, and beyond. Its collected case studies present practical ideas for enhancing educational institutions and offer replicable approaches across a range of learning priorities, from fostering motivation and engagement to improving feedback and achieving educational goals. Researchers, faculty members of teacher and leadership preparation programs, curriculum and instruction specialists, school-based instructional designers, technology coaches, and other readers will gain fresh insights from diverse global perspectives on topics such as generative AI, adaptive learning, intelligent tutoring systems, chatbots, predictive technologies, facial recognition software, and more. |
| chatgpt solve math problems: Developing Apps with GPT-4 and ChatGPT Olivier Caelen, Marie-Alice Blete, 2024-07-10 This book provides an ideal guide for Python developers who want to learn how to build applications with large language models. Authors Olivier Caelen and Marie-Alice Blete cover the main features and benefits of GPT-4 and GPT-3.5 models and explain how they work. You'll also get a step-by-step guide for developing applications using the OpenAI Python library, including text generation, Q&A, and smart assistants. Written in clear and concise language, Developing Apps with GPT-4 and ChatGPT includes easy-to-follow examples to help you understand and apply the concepts to your projects. Python code examples are available in a GitHub repository, and the book includes a glossary of key terms. Ready to harness the power of large language models in your applications? This book is a must. You'll learn: Fundamentals and benefits of GPT-4 and GPT-3.5 models, including the main features and how they work How to integrate these models into Python-based applications, leveraging natural language processing capabilities and overcoming specific LLM-related challenges Examples of applications demonstrating the OpenAI API in Python for tasks including text generation, question answering, content summarization, classification, and more Advanced LLM topics such as prompt engineering, fine-tuning models for specific tasks, RAG, plug-ins, LangChain, LlamaIndex, GPTs, and assistants Olivier Caelen is a machine learning researcher at Worldline and teaches machine learning courses at the University of Brussels. Marie-Alice Blete, a software architect and data engineer in Worldline's R&D department, is interested in performance and latency issues associated with AI solutions. |
| chatgpt solve math problems: ChatGPT in Quality Test Andreas Treutmann, 2023-05-22 ChatGPT is on everyone's lips. There is talk of astonishing features, but also of new risks and dangers. To demonstrate what is really true about all the reports, as a systems analyst and system architect with years of experience, I conducted my own comprehensive quality test. All the important features of ChatGPT were examined closely. Examples are used to explain what works well and what doesn't. In a concluding summary, the opportunities offered by ChatGPT, as well as the risks and dangers, are discussed. |
| chatgpt solve math problems: Rough Draft Math Amanda Jansen, 2023-10-10 Talking and writing about unfinished ideas is vital to learning mathematics, but most students only speak up when they think they have the right answer - especially middle school and high school students. Amanda Jansen and her collaborating teachers have developed a breakthrough approach to address this challenge. In Rough Draft Math: Revising to Learn, Jansen shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they problem-solve rather than talking only to perform right answers. Creating a Community of Learners: As part of the rough draft framework, a class of students becomes an equitable and inclusive community of thinkers, one where students feel safe to engage in discourse while developing mathematical competency and confidence Practical Application of Innovative Ideas: This book includes specific teaching techniques and a range of classroom vignettes showing rough draft math in action within a student-centered teaching approach. Children can develop solutions at their own pace and share thought processes behind their conclusions Classroom Tested: Jansen has developed the concept of rough draft math in collaboration with a diverse group of dynamic and reflective teachers. Rough Draft Math provides a blueprint for educators to allow free-thinking discussion while maintaining the mathematical learning goalsRough Draft Math, Jansen shows how to create an energetic classroom culture where students readily participate and share their evolving understanding while engaging in math talk, collaborative problem solving, and ongoing revision of ideas. ' |
| chatgpt solve math problems: Responsible Implementations of Generative AI for Multidisciplinary Use Gaur, Loveleen, 2024-09-18 Generative artificial intelligence (GAI) represents a profound leap in technological advancement, empowering machines to create content that closely mimics human creativity in various forms. As this technology continues to evolve and permeate multiple industries, it is essential to address the accompanying ethical considerations that arise from its use. Furthermore, there is a need for transparency in how GAI systems are developed and deployed to ensure that they are used responsibly and that their outputs are reliable and fair. Balancing innovation with ethical practices will be crucial to harnessing the benefits of GAI while mitigating its risks and ensuring its positive contribution to society. Responsible Implementations of Generative AI for Multidisciplinary Use highlights both the immense potential of GAI and the ethical challenges it presents. This book demystifies GAI by breaking down complex concepts into accessible language and offering real-world examples that illustrate the implications of its applications. Covering topics such as chatbots, ethical leadership, and the metaverse, this book is an excellent resource for technology professionals and developers, ethicists, policymakers, academicians, researchers, business leaders and executives, legal experts, students, educators, and more. |
| chatgpt solve math problems: Building Thinking Classrooms in Mathematics, Grades K-12 Peter Liljedahl, 2020-09-28 A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling non-thinking student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before. |
| chatgpt solve math problems: The Secret to Getting Great Answers: ChatGPT's Art of Prompting Shu Chen Hou, Introducing The Secret to Getting Great Answers: ChatGPT's Art of Prompting - the ultimate guide to leveraging the power of ChatGPT to ask the right questions and get the best answers! Are you tired of getting lackluster responses to your questions? Do you struggle to come up with the right prompts to get the information you need? Look no further - ChatGPT is here to revolutionize the way you approach questioning and prompting. With The Secret to Getting Great Answers: ChatGPT's Art of Prompting, you'll learn the techniques and strategies needed to craft effective prompts that elicit detailed, informative responses. From understanding context and background information to leveraging comparisons and analogies, this comprehensive guide will equip you with the tools needed to ask the right questions and get the answers you need. This ebook includes: Tips for crafting well-crafted prompts that make a difference Strategies for encouraging elaboration and detail in responses Techniques for leveraging context and background information Best practices for breaking down complex questions into smaller parts Insights on customizing prompts for personal and professional use Whether you're a student, researcher, interviewer, or simply someone looking to improve their questioning skills, The Secret to Getting Great Answers: ChatGPT's Art of Prompting has everything you need to take your questioning abilities to the next level. Don't settle for mediocre answers - get the best responses possible with the power of ChatGPT. Order your copy of The Secret to Getting Great Answers: ChatGPT's Art of Prompting today and start asking the right questions! Happy prompting! |
| chatgpt solve math problems: Math with Bad Drawings Ben Orlin, 2018-09-18 A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark bad drawings, which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike. |
| chatgpt solve math problems: Maximizing Productivity with ChatGPT Jason Brownlee, Adrian Tam, Matthew Mayo, Abid Ali Awan, Kanwal Mehreen, 2023-07-25 ChatGPT is one of the leading models in the AI language model arena and is widely used in various fields. With ChatGPT, you can effortlessly harness the power of AI to improve your efficiency with just a few well-crafted prompts. Many productivity-boosting tasks are facilitated by ChatGPT, so understanding how to interact with it paves the way for you to leverage the power of advanced AI. This ebook is written in the engaging and approachable style that you’re familiar with from the Machine Learning Mastery series. Discover exactly how to get started and apply ChatGPT to your own productivity, learning, or creativity projects. |
| chatgpt solve math problems: Rise of Generative AI and ChatGPT Utpal Chakraborty, Soumyadeep Roy, Sumit Kumar, 2023-03-22 Everything you need to know about the next generation Generative AI tool and ChatGPT KEY FEATURES ● Get familiar with the technical aspects of Generative AI and ChatGPT. ● Understand how you can implement Generative AI and ChatGPT in your organization. ● Explore use cases of Generative AI and ChatGPT in various industries and businesses, such as healthcare, finance, retail, network security, and more. DESCRIPTION Generative AI and ChatGPT have the potential to transform industries and society by improving efficiency, enhancing creativity, and enabling more personalized experiences. If you are someone who is looking to stay ahead of the curve in this rapidly evolving digital age and utilize its potential, this book is for you. This book gives a comprehensive overview of Generative AI and ChatGPT, the cutting-edge technologies that have gained significant attention in recent times. The book aims to provide a thorough understanding of these technologies, architectures, and training methods, including their background, development process, and current state. The book helps discover innovative ways in which these technologies have been implemented to achieve measurable benefits, including improved efficiency, customer satisfaction, security, and revenue growth and its potential application across different industries and use cases. The book also explores the challenges and considerations that organizations must take into account when implementing Generative AI and ChatGPT with existing limitations. Towards the end, the book provides insights into the substantial improvements and advancements in these technologies. It also helps you identify several areas for further research and development that could enhance the capabilities of ChatGPT in the near future. WHAT YOU WILL LEARN ● Explore how different industries and domains are using ChatGPT. ● Understand how content creators and marketing industries can benefit from using ChatGPT. ● Learn how to benefit from the problem-solving abilities of ChatGPT. ● Understand how ChatGPT can be used in various coding areas. ● Get familiar with the recent advancements in ChatGPT. WHO THIS BOOK IS FOR This book is for individuals and groups interested in AI and its practical applications in the business world. Business leaders, entrepreneurs, researchers, academicians, data scientists, Machine Learning engineers, and other professionals working in the field of AI can all find value in the book's insights into the latest technological advancements and how they can be leveraged to achieve business goals. TABLE OF CONTENTS 1. Introduction to ChatGPT 2. History Of Generative Models 3. Generative AI in Banking and Finance 4. Regulatory and Legal aspects of Generative AI 5. Generative AI and ChatGPT for Government Departments 6. Authenticity AI generated content 7. ChatGPT Technical Overview: Introduction 8. Brief of top other NLP models 9. Historical flow and development of GPT series 10. API Pricing model and technical limitations of ChatGPT 11. Customer Journey in ChatGPT free version UI 12. Use Cases in Modern Era: Introduction 13. Use case in Content-marketing 14. Education and e-learning abilities 15. Use case in Entertainments purposes 16. Potential of ChatGPT in Coding and Programming 17. Problem solving abilities (Quantitative) 18. Problem solving abilities (Qualitative) 19. Use cases Financial Industry 20. Use cases in Healthcare Industry 21. Use cases in E-commerce Industry 22. Use cases in Hospitality Industry 23. Problem solving abilities of ChatGPT 24. How beginner start ChatGPT for problem-solving 25. ChatGPT for National Cyber Security and TechnoPolicy 26. Use cases in edtech industry 27. Potential of ChatGPT in Research work 28. Potential of ChatGPT in Coding and Programming 29. Recent advancements that are made in ChatGPT 30. ChatGPT and the market right now 31. Generative AI and Chatgpt Help India G20 Summit 32. GPT- 4 33. Future scope of ChatGPT |
| chatgpt solve math problems: ChatGPT and Global Higher Education: Using Artificial Intelligence in Teaching and Learning , 2024-04-03 ChatGPT and Global Higher Education: Using Artificial Intelligence in Teaching and Learning |
| chatgpt solve math problems: AI Algorithms and ChatGPT for Student Engagement in Online Learning Bansal, Rohit, Chakir, Aziza, Hafaz Ngah, Abdul, Rabby, Fazla, Jain, Ajay, 2024-05-28 The shift to virtual education has presented numerous challenges, including maintaining student focus and participation. Traditional methods of instruction often need to catch up in capturing the attention of digital learners, leading to disengagement and reduced learning outcomes. However, there is a solution at hand. AI Algorithms and ChatGPT for Student Engagement in Online Learning offers a comprehensive approach to leveraging artificial intelligence (AI) algorithms and ChatGPT to enhance student engagement in digital classrooms. This book addresses the pressing need for innovative strategies to keep students actively involved in their online learning journey. By harnessing the power of AI algorithms, educators can personalize learning paths to suit individual student needs, ensuring that content is relevant and engaging. Additionally, ChatGPT serves as a virtual assistant, providing students with instant feedback and support, fostering a sense of connection to the learning process. |
| chatgpt solve math problems: Introducing Nonroutine Math Problems to Secondary Learners Robert London, 2023-08-22 Offering secondary math educators an innovative holistic and process-orientated approach for implementing nonroutine problems into their curriculum, this book defines and establishes practical strategies to develop students’ problem-solving skills. The text focuses on the process skills necessary to solve nonroutine problems in mathematics and other subjects, with the goal of making students better problem-solvers both in and outside of the classroom. Chapters present and define a curriculum of over 60 nonroutine problems in mathematics and other content areas, and explore the pedagogy to implement this type of curriculum consistent with the NCTM Standards and Principles to Action. Four different models of implementation are discussed, alongside a structured approach through seven difficulty levels (with examples), to ensure that every student, independent of their mastery of mathematics content, can improve their ability to solve nonroutine problems. It emphasizes to students how to transfer their problem-solving skills to other real-world areas, including increasing ecological awareness, appreciating diversity and addressing significant and meaningful problems in their life, school and community. The curriculum introduced in this book can be included as a component of a traditional four-year academic high school curriculum aligned with the Common Core Mathematical Practices, or as part of a one-year isolated required or elective mathematics course. Based on extensive field-testing this approach has been effective in both traditional mathematics courses and math electives such as a course in Problem-Solving. This book provides the necessary guidance to allow each mathematics teacher to effectively integrate the approach in their classrooms. This book is ideal for secondary mathematics teachers of all levels, as well as teachers of mathematics electives. |
| chatgpt solve math problems: The ChatGPT Teaching Assistant Teachmehowtodothat, 2023-04-21 Save Time, Work Smarter & Transform your Teaching. Welcome to the AI Teaching Assistant! This e-book aims to provide educators with the knowledge and skills necessary to harness the benefits of artificial intelligence (AI) in the classroom, specifically focusing on the ChatGPT language model developed by OpenAI. As AI continues to reshape various industries, including education, it is essential for educators to stay updated and leverage these advancements to enhance teaching and learning experiences. Throughout the 25-page book or rather guide, you will explore practical strategies for using ChatGPT in various aspects of your teaching practice, including lesson planning, resource development, student engagement, assessment, and language learning. You will find: • Discover dozens of easy-to-use prompts and nearly 100 use cases with ChatGPT AI in this ultimate guide for educators. • With ChatGPT, generating learning objectives, developing classroom resources, and enhancing student engagement and assessment is easy and intuitive. • Promote creativity, critical thinking, and collaboration in the classroom with ChatGPT's advanced capabilities for personalized feedback, peer review, and language learning materials. • Explore the applications of ChatGPT for collaborative storytelling and generating discussion topics. • Join the AI revolution in education and unlock the limitless potential of ChatGPT to enhance your teaching and save you time. 6 Modules Each module in this e-bookwill provide you with an in-depth understanding of how to effectively integrate ChatGPT into your classroom: • Module 1: ChatGPT for Lesson Planning - Learn to generate learning objectives, create lesson plans, and customize content using ChatGPT. • Module 2: ChatGPT for Classroom Resources - Discover how to generate worksheets and exercises for diverse student needs. • Module 3: ChatGPT for Engagement and Assessment - Use ChatGPT for personalized feedback, grading, online discussions, and peer review to engage students. • Module 4: ChatGPT for Language Learning - Develop vocabulary lists, grammar exercises, and proficiency-level materials with ChatGPT. • Module 5: ChatGPT Applications in Teaching - Explore ChatGPT's applications in teaching and the classroom, including collaborative storytelling and generating discussion topics to promote critical thinking, collaboration, and participation. • 67 Applications of ChatGPT in Teaching - ChatGPT can assist teachers during class, aid studying, and improve reading, writing, and comprehension skills. It can also generate discussion topics, facilitate collaborative story creation, and assist with writing assignments. By the end of this guide, you will have a deep understanding of how to effectively integrate ChatGPT into your teaching practice, enabling you to create dynamic and engaging learning experiences for your students. You can copy the prompts into ChatGPT to generate the products that you want. We hope that this e-book will inspire you to embrace the power of AI and become a part of the exciting future of education technology. Let's embark on this learning journey together and unlock the potential of AI in education! |
| chatgpt solve math problems: AI 2023: Advances in Artificial Intelligence Tongliang Liu, Geoff Webb, Lin Yue, Dadong Wang, 2023-11-26 This two-volume set LNAI 14471-14472 constitutes the refereed proceedings of the 36th Australasian Joint Conference on Artificial Intelligence, AI 2023, held in Brisbane, QLD, Australia during November 28 – December 1, 2023. The 23 full papers presented together with 59 short papers were carefully reviewed and selected from 213 submissions. They are organized in the following topics: computer vision; deep learning; machine learning and data mining; optimization; medical AI; knowledge representation and NLP; explainable AI; reinforcement learning; and genetic algorithm.. |
| chatgpt solve math problems: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking. |
| chatgpt solve math problems: Mathematical Lateral Thinking Puzzles Paul Sloane, Des MacHale, 2015 A collection of mathematical conundrums with a twist. It presents you with mathematical conundrums, but instead of requiring brute calculating power, each puzzle relies upon a clever insight or unexpected shortcut. |
| chatgpt solve math problems: Mathematics for Machine Learning Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong, 2020-04-23 The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site. |
| chatgpt solve math problems: Using Microsoft Word 2010 Tim Huddleston, Mike Miller, 2010-11-30 Using Microsoft Word 2010 is a customized, media-rich learning experience designed to help new users master Microsoft Word 2010 system quickly, and get the most out of it, fast! It starts with a concise, friendly, straight-to-the-point guide to Microsoft Word 2010. This exceptional book is fully integrated with an unprecedented collection of online learning resources: online video, screencasts, podcasts, and additional web content, all designed to reinforce key concepts and help users achieve real mastery. The book and online content work together to teach everything mainstream Microsoft Word 2010 users need to know. Practical, approachable coverage that completely flattens the Microsoft Word 2010 learning curve Tightly integrated with online video, screencast tutorials, podcasts, and more: the total learning experience for new Microsoft Word 2010 users A companion website offers supplemental media including video, screencast tutorials, podcasts, and more |
| chatgpt solve math problems: Advanced Lessons in Artificial Intelligence: A Technical Novel and a Readable Primer Harry Katzan Jr., 2024-04-11 There are a lot of people that are worried about artificial intelligence, where artificial intelligence is commonly regarded as the science of making machines do things that would require intelligence if performed by humans. Primarily, they think that the adoption of that technology will cause them to lose their jobs, and they will not have anywhere to go for employment. The computer will be doing everything from scrubbing the floor to running an investment bank, and all that is in between. These are primarily educated people who thought they were okay for their entire life. And, it’s not like the bookkeeping and word processing jobs of years ago. It’s everything. Really everything. To boot, you hear statements like, “That could be true that you might lose your job, unless you know AI,” where the acronym AI stands for the two terrible words, artificial intelligence. It is something to worry about, even though deep down, you probably realize it isn’t going to be true. Somehow, the government will take of it. AI stands for Artificial Intelligence, as I said, and we will use those two letters throughout this volume. AI books are simply hard to read, and authors like to throw around unfamiliar terms like neuron, cognitive science, and Singularity, and sooner or later, they will end up with some math, and there are many people that don’t like math. They could do math if they need to, but they prefer not to. Moreover, it is hard to remember the subject when it is just thrown at you, like you should love it to death. This book uses dialog to ease the pain. The first book is an easy-to-read novel with AI thrown in when appropriate, or it is an AI book with the novel thrown in when the AI is getting sketchy. You can share their misgivings. We have added something more to help you with the subject matter of the first book. We have included a supplemental book. The second book is a pure and simple AI Primer, and we mean really simple, when you like what you’ve read about AI in the technical/novel first part, and you want to get into it more fully. There is another option. You could read the Primer first and then read the novel part for enjoyment and to find out how the people in the first book are getting along with AI. You will be surprised. The volume, that is both books, is a good bargain that you could share with your family or give to a friend. The books contain no violence, no sex, and no bad language, and is suitable to readers of all ages. I hope you enjoy it! |
| chatgpt solve math problems: Handbook of Research on Innovative Frameworks and Inclusive Models for Online Learning Keengwe, Jared, 2023-08-18 The Handbook of Research on Innovative Frameworks and Inclusive Models for Online Learning is edited by Jared Keengwe, an experienced professor in Curriculum Design and Instruction. This comprehensive reference guide offers academic scholars a collection of diverse frameworks from empirical studies, literature reviews, and case studies related to inclusive models for online learning. Covering a wide range of topics, including pedagogical adaptations to online learning, innovative pedagogical theories, inclusive teaching and learning, and best practices in online course design, the handbook provides practical insights to achieve effective pedagogical outcomes grounded on sound theoretical frameworks. Whether you are an online educator, instructional designer, teacher educator, librarian, student, online learning researcher, or educational manager, this handbook can serve as a valuable resource to guide your research, design, and practice in online learning. The Handbook of Research on Innovative Frameworks and Inclusive Models for Online Learning is a must-read for academic scholars who want to stay updated on the latest research, theories, and models for effective online education. |
| chatgpt solve math problems: Computer-based Problem Solving Process Teodor Rus, 2015-03-19 One side-effect of having made great leaps in computing over the last few decades, is the resulting over-abundance in software tools created to solve the diverse problems. Problem solving with computers has, in consequence, become more demanding; instead of focusing on the problem when conceptualizing strategies to solve them, users are side-tracked by the pursuit of even more programming tools (as available).Computer-Based Problem Solving Process is a work intended to offer a systematic treatment to the theory and practice of designing, implementing, and using software tools during the problem solving process. This method is obtained by enabling computer systems to be more Intuitive with human logic rather than machine logic. Instead of software dedicated to computer experts, the author advocates an approach dedicated to computer users in general. This approach does not require users to have an advanced computer education, though it does advocate a deeper education of the computer user in his or her problem domain logic.This book is intended for system software teachers, designers and implementers of various aspects of system software, as well as readers who have made computers a part of their day-today problem solving. |
| chatgpt solve math problems: The Humongous Book of Algebra Problems W. Michael Kelley, 2008-07 Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics. |
| chatgpt solve math problems: Artificial Intelligence Is a Service Harry Katzan Jr., 2024-07-29 This is the first book that combines Artificial Intelligence and Service Science. In the long run, neither can survive without the other. As far as Artificial Intelligence is concerned, there are a lot of books on the market. It has been mentioned there are 300 AI books, and over 200 ChatGPT books. That might not be exactly correct but the point has been made. This book is easy to read. Not all AI books are easy to read. Some AI books are for experts and are exceedingly difficult along with math and other stuff. This book is definitely not for the expert, but it covers just about everything you will need to know in the future. This book contains Artificial Intelligence, Service Science, and some readings. Once you have it, you will not want to give or throw it away. It is written with the reader in mind, period. The author is not trying to show off and things are not described mathematically. Service Science is a darling subject, initiated by IBM. Everything we do is a service and that why it is paired conceptually with Artificial Intelligence. Knowledge of Service Science is necessary to become successful with Artificial Intelligence. The author would like to commend his daughter Kathryn who helped with the project and for her love and kindness. |
| chatgpt solve math problems: Artificial Intelligence in Education: The Power and Dangers of ChatGPT in the Classroom Amina Al-Marzouqi, |
| chatgpt solve math problems: Artificial Intelligence Harry Katzan Jr., 2023-08-04 This book is a complete introduction to artificial intelligence for its beginning in 1956 in a conference on the subject at Dartmouth College. The term AI was conined by John MCarthy and others. The book covers the modern topics such as Chatgpt and Watson at IBM. The book covers learning, thinking, generative systems, and other modern topics. The book is easy to read and is accessible to persons of all ages. There is no violence, no sex, and no bad language. |
| chatgpt solve math problems: Mathematical Problem Solving ALAN H. SCHOENFELD, 2014-06-28 This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in higher-order thinking skills in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, rules of thumb for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior. |
| chatgpt solve math problems: The AI Conundrum Caleb Briggs, Rex Briggs, 2024-08-06 A timely, practical guide to AI—its strengths, weaknesses, and real-world applications—for business professionals and policymakers. Artificial intelligence, or AI, can recognize a pattern from any set of data it is given, which is what makes it such an extraordinarily powerful tool. But because not all patterns are authentic or reliable, AI’s pattern-finding superpower can lead to spurious patterns—and to disastrous results for business and government entities that rely on them. Hence the conundrum at the heart of AI: its greatest strength can also be its greatest weakness. Targeting the businessperson who needs to know how to use AI profitably and responsibly, Caleb Briggs and Rex Briggs offer in this book a foundational understanding of AI that is easy to grasp yet thorough enough to be used effectively. The AI Conundrum: • Draws on the authors’ diverse expertise—in pure math, computer science, marketing, data science, and business—to make AI concepts and applications approachable for readers of all tech levels. • Provides a framework for comparing AI to the next best alternative, and for gauging where AI is likely be successful—or to pose greater risk than benefits. • Includes dozens of real-world case studies highlighting the successes and failures of AI applications across various industries. • Offers actionable insights for responsible implementation and risk mitigation. • Provides a worksheet for identifying potential problem areas, a cost-benefit analysis, and a companion website. The AI Conundrum is an invaluable resource for professionals and students seeking a full understanding of AI—its applications, limitations, and ethical considerations—as we enter a brave new era. |
| chatgpt solve math problems: Innovative Technologies and Learning Yueh-Min Huang, Tânia Rocha, 2023 This book constitutes the refereed proceedings of the 6th International Conference on Innovative Technologies and Learning, ICITL 2023, held in Porto, Portugal, during August 28-30, 2023. The 64 full papers included in this book were carefully reviewed and selected from 147 submissions. They cover a wide range of many different research topics, such as: artificial intelligence in education; computational thinking in education; design and framework of learning systems; pedagogies to innovative technologies and learning; STEM/STEAM education; VR/AR/MR/XR in education; and application and design of innovative learning software. |
| chatgpt solve math problems: Super Lateral Thinking Puzzles Paul Sloane, Des MacHale, 2000 Stand out from the pack--don't think conventionally, think laterally! And, you can start developing well-honed mental skills with more than 80 braintwisting puzzles that test your creativity and smarts. At first it might not seem as if there's enough information to solve them, but if you just persist, you'll come up with the logical answers. Some of the conundrums come from real life: try to figure out how the Greek playwright Aeschylus could have been killed by a tortoise or how the truth about Mary Queen of Scots' baldness was finally revealed. Or, give this a shot: A runner was awarded a prize for winning a marathon. But, the judges disqualified him when they saw a picture of his wristwatch. Why? Happy puzzling! Answer: A picture of the runner early in the race showed him wearing his watch on his right wrist. When he crossed the finishing line it was on his left wrist. The judges investigated and found that one man had run the first half and his identical twin brother ran the second half of the race. |
GitHub - ChatGPT-CN-Guide/chatgpt-4o: ChatGPT中文版：国内访 …
5 days ago · ChatGPT中文版：国内访问指南（支持 GPT-4、GPT-4o、GPT-o1，无需翻墙）【5月持续更新】ChatGPT中文版、ChatGPT官网、ChatGPT网页版，本文提供完整的 …
国内如何使用 ChatGPT？最容易懂的 ChatGPT 介绍与教学指南
Jun 8, 2025 · ChatGPT 中文版 是 OpenAI 专为中文用户量身定做的智能对话工具，旨在提供更加顺畅且精准的中文交流体验。与国际版相比，ChatGPT 中文版在以下几个方面更符合国内用 …
GitHub - chatgpt-chinese-gpt/chatgpt-mirrors: ChatGPT中文版镜 …
3 days ago · ChatGPT中文版镜像网站合集（支持GPT-4，无需翻墙，实时更新）2025年最新 ChatGPT 中文版镜像网站。
GitHub - ChatGPT-CN-Guide/ChatGPT: ChatGPT官网及中文版入口 …
3 days ago · ChatGPT官网及中文版入口推荐：最新镜像网站指南，全面掌握 ChatGPT 中文版，无需翻墙即可体验 GPT-4 与多功能服务！ 本指南旨在为用户提供详尽的 ChatGPT 中文版 …
ChatGPT 中文版：国内直连指南（支持GPT-4、4o、o1 ... - GitHub
2 days ago · 镜像站地址 支持版本 免费额度 注册方式 稳定性 功能亮点; lanjing.pro: GPT-4, GPT-4o, GPT-o1: 有 ...
ChatGPT 国内使用保姆教程以及无限制使用 ChatGPT 4.0 的方法（ …
May 27, 2025 · 中文版 ChatGPT 是 OpenAI 针对中文用户需求精心优化的智能对话工具，旨在提供更加流畅和精准的中文服务。与原版相比，中文版 ChatGPT 在多个方面更贴合国内用户的 …
别再找了！最全 ChatGPT 4/4o 中文版官网+国内使用指南（附免费 …
2 days ago · ChatGPT 中文版 是 OpenAI 开发的 ChatGPT 模型的中文优化版本，专为国内用户服务，提供更流畅、更精准的中文对话体验。 与官方 ChatGPT 相比，ChatGPT 中文版在以下 …
chatgpt-zh/chatgpt-china-guide: ChatGPT官网 - GitHub
May 27, 2025 · ChatGPT 中文版和官网有何不同？ 中文版是专为国内用户优化的服务，通过镜像站提供更快、更稳定的访问，而官网需要翻墙访问。 ChatGPT 中文版是否支持 GPT-4？ 是 …
GitHub - chatgpt-chinese-gpt/chatgpt-freecn: ChatGPT中文版免费 …
3 days ago · ChatGPT中文版免费使用指南（支持GPT-4，GPT-4o，GPT-o1以及grok，无需翻墙）【5月最新】 - chatgpt-chinese-gpt/chatgpt-freecn
chatgpt-chinese-gpt/ChatGPT-site-mirrors - GitHub
4 days ago · 无需翻墙，轻松访问 GPT-4 和 ChatGPT 的最新服务！本项目为您全面整理了国内可用的 ChatGPT 镜像站资源，涵盖站点推荐、功能对比、免费额度和详细使用教程，助您快速 …
GitHub - ChatGPT-CN-Guide/chatgpt-4o: ChatGPT中文版：国内访 …
5 days ago · ChatGPT中文版：国内访问指南（支持 GPT-4、GPT-4o、GPT-o1，无需翻墙）【5月持续更新】ChatGPT中文版、ChatGPT官网、ChatGPT网页版，本文提供完整的 …
国内如何使用 ChatGPT？最容易懂的 ChatGPT 介绍与教学指南
Jun 8, 2025 · ChatGPT 中文版 是 OpenAI 专为中文用户量身定做的智能对话工具，旨在提供更加顺畅且精准的中文交流体验。与国际版相比，ChatGPT 中文版在以下几个方面更符合国内用 …
GitHub - chatgpt-chinese-gpt/chatgpt-mirrors: ChatGPT中文版镜 …
3 days ago · ChatGPT中文版镜像网站合集（支持GPT-4，无需翻墙，实时更新）2025年最新 ChatGPT 中文版镜像网站。
GitHub - ChatGPT-CN-Guide/ChatGPT: ChatGPT官网及中文版入口 …
3 days ago · ChatGPT官网及中文版入口推荐：最新镜像网站指南，全面掌握 ChatGPT 中文版，无需翻墙即可体验 GPT-4 与多功能服务！ 本指南旨在为用户提供详尽的 ChatGPT 中文版 …
ChatGPT 中文版：国内直连指南（支持GPT-4、4o、o1 ... - GitHub
2 days ago · 镜像站地址 支持版本 免费额度 注册方式 稳定性 功能亮点; lanjing.pro: GPT-4, GPT-4o, GPT-o1: 有 ...
ChatGPT 国内使用保姆教程以及无限制使用 ChatGPT 4.0 的方法（ …
May 27, 2025 · 中文版 ChatGPT 是 OpenAI 针对中文用户需求精心优化的智能对话工具，旨在提供更加流畅和精准的中文服务。与原版相比，中文版 ChatGPT 在多个方面更贴合国内用户的 …
别再找了！最全 ChatGPT 4/4o 中文版官网+国内使用指南（附免费 …
2 days ago · ChatGPT 中文版 是 OpenAI 开发的 ChatGPT 模型的中文优化版本，专为国内用户服务，提供更流畅、更精准的中文对话体验。 与官方 ChatGPT 相比，ChatGPT 中文版在以下 …
chatgpt-zh/chatgpt-china-guide: ChatGPT官网 - GitHub
May 27, 2025 · ChatGPT 中文版和官网有何不同？ 中文版是专为国内用户优化的服务，通过镜像站提供更快、更稳定的访问，而官网需要翻墙访问。 ChatGPT 中文版是否支持 GPT-4？ 是 …
GitHub - chatgpt-chinese-gpt/chatgpt-freecn: ChatGPT中文版免费 …
3 days ago · ChatGPT中文版免费使用指南（支持GPT-4，GPT-4o，GPT-o1以及grok，无需翻墙）【5月最新】 - chatgpt-chinese-gpt/chatgpt-freecn
chatgpt-chinese-gpt/ChatGPT-site-mirrors - GitHub
4 days ago · 无需翻墙，轻松访问 GPT-4 和 ChatGPT 的最新服务！本项目为您全面整理了国内可用的 ChatGPT 镜像站资源，涵盖站点推荐、功能对比、免费额度和详细使用教程，助您快速 …
