[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-116719-en":3,"doc-seo-116719-105":30,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},116719,13056703019662,"Evangeline","https://ap-avatar.wpscdn.com/avatar/be000253a8e92610077?_k=1778726343310543188",6,"Technology","Math and Python - Level 2 - Simultaneous Learning of Mathematics and Python","This text guides learners in mastering two core skills at the same time: mathematics and Python programming. It frames AI as a “system” rather than “magic,” then proposes a repeatable four-step learning flow where ideas move between paper-and-pen problem solving, asking “Why?” about formulas, experimenting with Python to test guesses through code, and bridging results to future understanding. It also introduces Google Colab as a browser-based environment to run code without local installation.","Simultaneous learning of Math and Python  \nGoogle Colaboratory, Google Colab, and the Google logo are trademarks or registered  \ntrademarks of Google LLC.  \nPython is a trademark or registered trademark of the Python Software Foundation.  \nPreface  \nToday, we live in an era where AI (Artificial Intelligence) is part of our everyday lives. Instead of just watching this big change, we need the power to ride this wave ourselves. To do that, we must understand AI not as\"magic,\" but as a \"system.\"  \nThis book was written to help you learn two powerful basic skills at the same time: \"Mathematics,\" and \"Python\" (programming) to make it work in the real world. By combining the logical thinking of math with the creative power of programming, abstract formulas turn into real tools you can actually \"touch and move.\"  \nI want young people who will create the future to read this book. But I also strongly recommend it to adults who gave up on math in the past, or who never had the chance to learn. It is never too late to start learning.  \nI hope this book becomes a bridge that gives you back the \"joy of understanding\" and the \"power to create.\" And I truly wish that readers of this book will step forward to seek the truth of the world and build a new future.  \nHideaki Miyoshi / Geraldine Angaga Lickas  \nThe way to learn with this book is very simple. You will always move between these three things.  \nFigure 1.1 The learning flow of this book  \n① 􎇼􎇻􎇺 Think with paper and pen. First, use your own hands. Write equations, draw pictures, and ask yourself,“What does this mean?” This is mathematical thinking.  \n②  Translate it into Python. Next,“translate” your ideas into Python code. The computer can calculate and draw graphs in a moment. This is coding.  \n③ 􎈯 Learn both at the same time. The equation on paper and the result on the screen match—“They are exactly the same!” When you repeat this experience, you will learn math and programming at the same time, and deeply.  \nDo you remember the three steps from the level 1 version: “ 􎇼􎇻􎇺 Paper → 􊼏􊼐 Connect →  Python”? The level 2 version adds time to think about “Why?” and a bridge to your future. So now there are four steps.  \nFigure 1.2 The four-step learning  \nAt the start of each chapter, you first catch “the key math idea of this chapter”(the starting point). Then you learn through the four steps below. You do not have to do all of them every time. At first, just moving between 􎇼􎇻􎇺 and  is enough.  \n The key math idea of this chapter (start) Catch “what you will learn, and why” in a few words.  \nStep 1 􎇼􎇻􎇺 Solve with paper and pen Calculate with your own hands and change the form of equations. When you move your hands, the ideas become part of you.  \nStep 2 􊻱 Think about “Why?” Think about what a formula means and why a definition is made that way. This is the most interesting part of high school math.  \nStep 3  Experiment with Python Make a guess, then check it with code.“I tried it, and it really happened!” —this makes your understanding strong.  \nStep 4 􋝛􋝙􋝟􋝞 Abridge to next level Take a quick look at how what you learn will be useful in the future.  \n􀟅 Different skill levels are OK  \nMaybe you are good at programming, or maybe it has been a long time. This book explains everything with both pictures and code. If the code feels difficult, just follow the pictures and the “paper and pen” explanations first. If you are worried about math, run the Python code and check the results with your own eyes—it will become much easier to understand. Start from the entrance that fits you.  \nBefore You Start—Let’s Use Google Colab  \nIn this textbook, we will learn Python with a tool called “Google Colab.”  \nGoogle Colab is a useful free service. Anyone can use Python with just a browser (Chrome, Safari, Edge, etc.) connected to the internet. You do not need to install anything on your computer.  \n\u003CNotice> Colab notebook files linked to the book can be downloaded from the following address:  \n[https://chic.i","cbCaigzqjcK5zfKq","https://ap.wps.com/l/cbCaigzqjcK5zfKq","pdf",10784592,1,267,"English","en",105,"# Preface\n## Learning flow and four-step method\n## Different skill levels are OK\n# Before You Start—Let’s Use Google Colab\n## Google Colab overview\n## Step 1: Open Colab\n## Step 2: Write and Run Code\n## Useful shortcuts to remember\n## Let’s Try It Now!","[{\"question\":\"What are the four steps in the Level 2 learning method?\",\"answer\":\"The method alternates between paper-and-pen math work, thinking about “Why?” behind formulas, experimenting with Python to verify guesses, and using a bridge to connect what you learn to the next level.\"},{\"question\":\"How does this book help someone who feels weak in math or programming?\",\"answer\":\"Learners can start from the entry that matches their comfort level: follow the picture-based guidance and paper-and-pen explanations if coding feels hard, or run Python code and check results directly if math feels difficult.\"},{\"question\":\"What is Google Colab and how do you start using it?\",\"answer\":\"Google Colab is a free, browser-based service that lets anyone run Python without installing software. To start, prepare a Google account, open the Colab website, and log in if prompted.\"}]","Math and Python - Level 2 - Simultaneous Learning of Mathematics and Python | PDF",1785663887,673,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":86,"head_meta":88,"extra_data":90,"updated_unix":28},"math-and-python-level-2-simultaneous-learning-of-mathematics-and-python","",{"@graph":36,"@context":85},[37,54,68],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/technology/",3,{"item":52,"name":13,"@type":43,"position":53},"https://docshare.wps.com/document/math-and-python-level-2-simultaneous-learning-of-mathematics-and-python/116719/",4,{"url":52,"name":13,"@type":55,"author":56,"headline":13,"publisher":58,"fileFormat":61,"inLanguage":23,"description":14,"dateModified":62,"datePublished":62,"encodingFormat":61,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":57},"Person",{"url":41,"name":59,"@type":60},"DocShare","Organization","application/pdf","2026-08-02",true,{"@type":65,"interactionType":66,"userInteractionCount":4},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71,77,81],{"name":72,"@type":73,"acceptedAnswer":74},"What are the four steps in the Level 2 learning method?","Question",{"text":75,"@type":76},"The method alternates between paper-and-pen math work, thinking about “Why?” behind formulas, experimenting with Python to verify guesses, and using a bridge to connect what you learn to the next level.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"How does this book help someone who feels weak in math or programming?",{"text":80,"@type":76},"Learners can start from the entry that matches their comfort level: follow the picture-based guidance and paper-and-pen explanations if coding feels hard, or run Python code and check results directly if math feels difficult.",{"name":82,"@type":73,"acceptedAnswer":83},"What is Google Colab and how do you start using it?",{"text":84,"@type":76},"Google Colab is a free, browser-based service that lets anyone run Python without installing software. 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