Math Without Numbers

Now in paperback! Milo Beckman’s first book is a fantastic voyage into a hidden world all around us.Math Without Numbers is an illustrated, lucidly written guide to nothing less than the three fields

當數學裡沒有數字，會發生什麼事？——沒有練習題，沒有標準答案，剩下的是發現、探索、推論，以及解謎的樂趣！ 這本書除了頁碼之外，完全沒有數字，同時還有100多幅由紐約當地藝術家M手繪的插圖。作者利用文字和圖像來傳達重要的數學概念的感覺，並省去了公式和計算。雖然沒有數字，但這本書對於數學是什麼？數學涵蓋哪些部分？最有趣的地方在哪裡？這些探索是絕不打折，而且能讓您對於數學，有更廣闊的了解。例如，有什麼東西比「無限大」更大嗎？世界上總共有多少種形狀？現實生活中什麼時候會用得上這些？這些問題其實都有答案，但答案都不是數字。從本書一開始，作者帶領我們進入一個奇妙的「現實平面」。在這個平面上，正方形是圓形、賽局是樹，自然世界則是電腦模擬。對於學過九九乘法之後就不再關注數學的人而言，數學真的是抽象怪異到了極點！但是，數學為什麼還那麼有用呢？這本書寫來生動活潑，而且極富原創性，它帶領我們認識抽象數學的三大分支：拓樸學、分析和代數，把這三個領域解釋得很清晰而有趣。作者說，其實關鍵就是掌握模式。這本書一反傳統的教學方式，邀請讀者運用創意，來思考空間和維度、無限大和無限小、對稱、證明、結構，以及這些概念如何結合在一起，最後，將這些概念應用在日常生活中！歡迎來到人類知識的最前沿，體驗數學的美麗與奧祕。 專業推薦李政憲，新北市林口國中老師洪萬生，臺灣數學史教育學會理事長游森棚，臺灣師範大學數學系教授 我要大力推薦這本書！有鑑於拓樸學、量子力學以及相對論極有可能成為本世紀下半葉的公民基礎素養，我尤其希望有語文閱讀自信的讀者，一定要特別注意這一類數學普及書籍的問世，因為這攸關公民科學素養的必要選項。——洪萬生，臺灣數學史教育學會理事長 這是一本非常特別的數學科普書！我欣見這本書的出版，也佩服作者的宏觀與有趣的文筆，把數學某些本質層面藉由適當的選材呈現出來。本書的視野和高度在數學科普書中是非常少見的，足以讓讀者對數學有完全不同的認識與體悟。——游森棚，臺灣師範大學數學系教授 什麼？學數學可以不用數字？！作者深入淺出，以圖文介紹了許多看似難懂的數學名詞，以及這些概念與生活、遊戲與哲學等面向的連結，若你覺得不知道數學有何用處，或是有興趣想研究更多數學面向，這本書值得一讀。——李政憲，新北市林口國中老師、藝數摺學FB社團創辦人、教育部師鐸獎得主

You might not like numbers and maths when you have to do your maths homework, but it would be hard to live without them. Imagine how difficult life would be if you couldn't count things, measure anyth

It's O.K. to Be Smart…Math Smart!Numbers. Operations. Triangles. Minute hands. It's the fundamentals of math and the pleasure of being a problem solver. Challenge yourself, challenge your friends—chal

Give your child positive math experiences and strong math foundations with Smart Start: Math Stories and Activities. The colorful activities introduce math concepts in creative ways using math stories to help children recognize number relationships in the world around them.Smart Start: Math Stories and Activities workbooks provide structured weekly activities to help children practice and learn numbers, counting, measurement, addition and subtraction, shape recognition, and graphing. Audio story read-alouds with colorful illustrations help students learn math concepts and make connections to the real world. Illustrated activities provide meaningful practice in a variety of formats, giving children multiple opportunities to achieve understanding.Math activities:Provide strong math foundations that teach the most important math skills.Include creative and fun lessons thathelp children create positive math connections.Provide reward stickers to motivate children to complete the activities

Help your kindergartener build strong math foundations with Smart Start: Math Stories and Activities. Developed by teachers, the colorful activities introduce math skills in creative ways. Each unit introduces important math vocabulary and helps children recognize math in the world around them.Smart Start: Math Stories and Activities workbooks provide structured weekly activities to help children practice and learn numbers, counting, measurement, addition and subtraction, shape recognition, and graphing. Audio story read-alouds with colorful illustrations help students learn math concepts and make connections to the real world. Illustrated activities provide meaningful practice in a variety of formats, giving children multiple opportunities to achieve understanding.Math activities:Provide strong math foundations that teach the most important math skills.Include creative and fun lessons thathelp children create positive math connections.Provide reward stickers to motivate children to co

Help your first grader build strong math foundations with Smart Start: Math Stories and Activities. Developed by teachers, the colorful activities introduce math skills in creative ways. Each unit introduces important math vocabulary and helps children recognize math in the world around them.Smart Start: Math Stories and Activities workbooks provide structured weekly activities to help children practice and learn numbers, counting, measurement, addition and subtraction, shape recognition, and graphing. Audio story read-alouds with colorful illustrations help students learn math concepts and make connections to the real world. Illustrated activities provide meaningful practice in a variety of formats, giving children multiple opportunities to achieve understanding.Math activities:Provide strong math foundations that teach the most important math skills.Include creative and fun lessons thathelp children create positive math connections.Use reward stickers to motivate children to complete

《快樂學數學》系列啟動孩子的算術能力大躍進！孩子將會愛上書中的可愛動物與有趣故事，並在當中學習序數、數數(counting)、跳數(skip counting)、加法、減法等數學概念。本系列每冊書中皆附贈互動素材(官網也提供素材檔案，可自行下載列印裁切)，讓每本書都是孩子動手體驗的學習工具。每則故事中也能讀到有趣的科學小知識，在快樂動手學習中，激發孩子對世界的好奇心與對數學的概念的理解。Jump start your child's advancement in numeracy with the Happy Learning Math series. Your child will delight in the fun stories about animals and encounter Math concepts, such as ordinal numbers, counting, skip counting, addition, subtraction and more.Materials for interactive play and links to printables are also included, turning each book into a hands-on experiential learning tool. Fun Science facts are also weaved into each story to spark your child's curiosity about the world.The set comes with bonus fun and interactive elements to reinforce your child's learning of Math concepts!

With more than 35 million books sold, the My Weird School series really gets kids reading! In this sixth book of the My Weirdtastic School arc, A.J. and his friends meet a math teacher who's trying to make arithmetic fun--and extra-weird!Math scores at Ella Mentry School are way down! But Mrs. Stoker is bringing in an expert named Ms. Greene to help A.J. and his friends study.Ms. Greene is nice, but she sees numbers everywhere--skateboarding, football, even in height! Between solving weird word problems, being mathletes, and sitting on their denominators, how much more math can the class take?Excellent for reluctant readers and all kids hungry for funny school stories, Dan Gutman's hugely popular My Weird School chapter book series has something for everyone. Don't miss the hilarious adventures of A.J. and his friends!

Make math fun with amazing brain-teasing puzzles Hours of enjoyment while developing critical thinking skills. Developing critical thinking skills has never been more fun with Train Your Brain: Math G

Provide engaging math practice and see children’s math and problem-solving skills improve with Skill Sharpeners: Math activity books! The colorful theme-based activities create enjoyable learning expe

Provide engaging math practice and see children’s math and problem-solving skills improve with Skill Sharpeners: Math activity books! The colorful theme-based activities create enjoyable learning expe

Provide engaging math practice and see children’s math and problem-solving skills improve with Skill Sharpeners: Math activity books! The colorful theme-based activities create enjoyable learning expe

Provide engaging math practice and see children’s math and problem-solving skills improve with Skill Sharpeners: Math activity books! The colorful theme-based activities create enjoyable learning expe

Trusted team DAVID A. ADLER and EDWARD MILLER continue their series of popular math books with a primer on money!DAVID A. ADLER and EDWARD MILLER continue their series of award-winning math books with

Comprehensive but not complicated! Math Fundamentals helps your fifth graders navigate the new math. Math Models and analysis questions, plenty of skill practice, and real-world problems guide student

Comprehensive but not complicated! Math Fundamentals helps your third grade students navigate the new math. Math Models and “think” questions, plenty of skill practice, and real-world problems guide s

Developed by teachers, At-Home Tutor: Math provides engaging activities that motivate kindergartners to learn fundamental math skills. Each full-color activity focuses on a curriculum-based skill, cov

Developed by teachers, At-Home Tutor: Math provides engaging activities that motivate second-grade students to learn fundamental math skills. Each full-color activity focuses on a curriculum-based ski

Learn all about the numbers 1 to 10 with Sylvan's proven techniques for success!Learning the basics about numbers is a crucial part of the preparation for kindergarten and an important step on the way

Subtraction Facts in a flash! No more plain old flashcards, no need for high tech computers. Math Gear allows kids to memorize math facts in a fun and interactive way. Turn the wheel, say the answer a

Multiplication Facts in a flash! No more plain old flashcards, no need for high tech computers. Math Gear allows kids to memorize math facts in a fun and interactive way. Turn the wheel, say the answe

Division Facts in a flash! No more plain old flashcards, no need for high tech computers. Math Gear allows kids to memorize math facts in a fun and interactive way. Turn the wheel, say the answer and

Addition Facts in a flash! No more plain old flashcards, no need for high tech computers. Math Gear allows kids to memorize math facts in a fun and interactive way. Turn the wheel, say the answer and

本書打破死背介系詞意義和片語的方式，針對 ．Over/Through/About/Across/By/To/Of.... ．表示場所的In,On,At ．表示時間的In,On,At ．About/Before/During/From/Into/Under/Without.... 先劃出基本圖型，說明各個介系詞的基本意義，再運用「家族樹的臉譜」原理， 將介系詞的各種衍伸用法連繫起來，讓

Cross lava caves, enchant armor, and travel into the Nether and beyond with the Official Minecraft Workbook for 2nd Grade! Includes 100+ colorful reward stickers.Pick up your pencils and get ready to learn with creepers, piglins, Endermen, and more—in the Official Minecraft Workbook series! With playful, game-based reading and math exercises, inventive end-of-lesson Minecraft Missions, reward stickers, and a fun completion certificate, second graders will practice and reinforce key classroom concepts including:sight wordsspelling and vocabularydecoding wordsexploring numbers and valuesmulti-digit addition and subtractionparts of speech and reading... and more!

Written and vetted by educators and aligned with math standards, discover the ultimate Pre-Kindergarten math workbook from America's #1 educational bestseller. It’s fun to be smart! From the brand that’s loved by kids, teacher approved, and parent trusted, Brain Quest Workbook: Pre-Kindergarten Math is packed with hands-on activities that introduce and reinforce essential math concepts that prepare children for kindergarten and beyond. The workbook includes kid-friendly explanations and targeted support throughout, plus an illustrated glossary and additional resources in the back. Books comes withStickersProgress mapCompletion certificateMini Smart Card question-and-answer deckConcepts featured in Pre-KCounting & ComparingSorting & MatchingShapes & PatternsOrder & PositionConcepts featured in KAdding & SubtractingMeasuring & SortingFlat & Solid ShapesOrder & PositionConcepts included in 1st GradeAddition & Subtraction StrategiesCounting &am

犀牛媽媽Riley正在和小犀牛Ryker玩捉迷藏。她聽到森林裡的聲音。會不會是Ryker？Riley衝向聲音來源，但她沒有看到樹，於是一頭撞上了大樹！跟隨犀牛們在熱帶雨林中嬉戲冒險，學習如何從一數到十，並學習有關蘇門答臘犀牛的有趣小知識！《快樂學數學》系列啟動孩子的算術能力大躍進！孩子將會愛上書中的可愛動物與有趣故事，並在當中學習序數、數數(counting)、跳數(skip counting)、加法、減法等數學概念。本系列每冊書中皆附贈互動素材(官網也提供素材檔案，可自行下載列印裁切)，讓每本書都是孩子動手體驗的學習工具。每則故事中也能讀到有趣的科學小知識，在快樂動手學習中，激發孩子對世界的好奇心與對數學的概念的理解。Riley the Rhinoceros is playing hide and seek with her calf, Ryker. She hears noises in the forest. Could that be Ryker? Riley charges toward the sounds.She does not see the trees and crashes into them!Follow the rhinoceros' playful adventure in the rainforest, and learn about ordinal numbers and counting to ten.Read fun facts about the Sumatran rhinoceros!Jump start your child's advancement in numeracy with the Happy Learning Math series. Your child will delight in the fun stories about animals and encounter Math concepts, such as ordinal numbers, counting, skip counting, addition, subtraction and more.Materials for interactive play and links to printables are also included, t

This delightful book and jigsaw is an ideal way to introduce the numbers 1-10. The bright, appealing illustrations provide plenty of opportunities for counting, helping children understand the link be

Smart Start: Math Stories and Activities, Grade PreK (附QR Code 音檔)Smart Start: Math Stories and Activities, Grade K (附QR Code 音檔)Smart Start: Math Stories and Activities, Grade 1 (附QR Code 音檔)

Caldecott Honor winner Steve Jenkins introduces By the Numbers infographic readers, chock full of incredible infographs and stunning, full color cut-paper illustrations. Dinosaurs will explore th

With Math for Minecrafters: Adventures in Multiplication & Division, learning time feels more like game time!This kid-friendly workbook features well-loved video game characters and concepts to reinfo

Developed by teachers, At-Home Tutor: Math provides engaging activities that motivate young children to learn fundamental PreK skills. Each full-color activity focuses on a curriculum-based skill, cov

Missing MittensEvery animal on Farmer Bill's farm is missing one mitten. Readers can investigate odd and even numbers as they unravel this mitten mystery!

Provide your second-grade students with 10 to 15 minutes of daily math practice specifically developed to meet Common Core! The frequent, focused practice improves math skills, and each title includes

This hands-on (and marker-on!) curriculum-based workbook provides reinforcement, practice, and review opportunities of foundational pre-math and pre-reading concepts plus motor skill work for the youngest learners. The ultimate write and erase workbook, with tons of curriculum-based activities and exercises focusing on letters, numbers, colors, and shapes. Includes a removable double sided white board and dry erase marker (attached in spiral binding). It's fun to be smart! From the brand that's loved by kids, teacher approved, and parent trusted, Brain Quest Write and Erase: Preschool Skills is packed with hands-on activities that introduce and reinforce concepts students need to prepare for school. Bonus questions on each page extend the learning and give parents ample opportunities for engaging conversations and language development. Aligned with early learning standards and expertly vetted by award-winning teachers, each page is designed to set students and parents

Discover how maths is part of our daily lives with Everyday STEM Maths - Amazing Maths. Mathematics is not just working out sums and equations for school - it's all around us and used in everyday situations. From photography and cooking to ballet and fashion design, maths is the building block of everything! Discover how watching rabbits and bees developed into a famous sequence, see the ancient Egyptians apply maths to pyramid building, and meet the inspirational mathematicians who brought numbers and symbols to life, including Marjorie Lee Browne, Archimedes and Maryam Mirzakhani. A "try this at home" section shows readers how maths helps you to read minds and how a sequence can turn you into an artist. With easy-to-understand text written by maths expert Lou Abercrombie, and lots of colourful artworks, photos and diagrams, readers can best explore where we encounter maths and why it's even important at all. The Everyday STEM series makes science relevant to tweens. Instead of tellin

《我是數學明星！》系列作者群是由新加坡國立教育學院(NIE)教授們所組成，系列書以故事形式呈現具有挑戰性的數學難題，透過引人入勝的故事情節，並使用各種數學啟發式教學技巧，逐步描述並帶領讀者解決難題，這些教學技巧也是新加坡知名的數學教學的一部分。透過插圖和有趣的故事情節，小讀者將在學習數學的路上受到啟發，提升理解力、學習數學表示和解決有趣的數學問題！本書附有知名數學教師Yeap Ban Har 博士所提供的課後習題與解答。The I'm a Math Star! series comprises challenging Math puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Math heuristic techniques that are also taught as part of the world renowned Singapore Math curriculum. Through illustrations and an engaging storyline, children will learn Math heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Math problems!

兩河流域的算術泥板、搜尋引擎、巡航定速…數學早已是人類文明進程中的要角。斯德哥爾摩大學最年輕的博士Stefan Buijsman以趣味十足，引人入勝的筆法，向讀者解釋生活中無處不在的數學概念，及數學與哲學、心理學、歷史背後的關聯。Thousands of years ago the inhabitants of Mesopotamia became the first to use numbers. Since then, mathematics has been unstoppable. It's behind almost everything, from search-engines to cruise-control, from coffee-makers to timetables.But now that we hardly ever need to do arithmetic, how relevant is mathematics to everyday life? Pluses and Minuses demonstrates the role mathematics plays in human endeavour. It answers questions such as: What is life without numbers? Is the usefulness of mathematics mere chance? How can we get a grip on uncertainty? Stefan Buijsman's richly entertaining guide makes connections between philosophy, psychology and history, while explaining the wonderful world of mathematics for absolutely everyone.Born in 1995, Stefan gained a master's degree in philosophy in Leiden at the age of eighteen, after which he moved from Sweden to work on a PhD. Wi