數學也可以這樣學, 詩書坊

NT$380 NT$342

數學也可以這樣學

數學也可以這樣學
作者 約翰.布雷克伍德 John Blackwood
擁有近三十年的機械工程設計經驗,之後受到射影幾何學(Projective Geometry)家
勞倫斯.愛德華(Lawrence Edwards)的啟發,開始研究植物幾何學。
曾在澳洲雪梨的史泰納學校(Glenaeon Rudolf Steiner School)教書,設計數學課程。
他為十一及十二年級學生設計開發的課程,獲新南威爾斯省的教育部採用。
曾出版《大自然中的幾何學》(Geometry in Nature, 2012)。
中文說明 

一沙一世界,一花一天堂
飄落的雪花是幾何;太陽月亮是週期;葉子的節點是數列
換個方式學數學,你將發現自然的美麗及宇宙的秩序
華德福式自然學習法,超過200幅彩色圖表
本書是一位任教於華德福教育體系的教師,針對七、八年級學生所發展的教程,廣獲推介引用。
藉由大量圖片與作品,引導學生認識大自然、空間以及時間裡的數學。
主題包括:幾何學、畢達哥拉斯及數目、柏拉圖多面體、節奏與循環。
華德福的教育方式強調學習與經驗的連結。對教師和家長而言,
點燃孩子的學習熱情更勝於填鴨教學。
對學生而言,概念與觀察的結合會帶來驚喜與啟蒙。數學不只是計算與公式,
更是探索、興趣與應用,也是一項重要生活技能。


推薦序
譯者序
導言

第一章 大自然中的數學
.技巧的複習與回顧 .圓的形式 .六邊形的形式 .螺線的形式
.阿基米德螺線 .等角螺線 .斐波那契數及其數列 .斐波那契螺線
. ,斐波那契以及「黃金切割」 .1.618 或 0.618?

第二章 畢達哥拉斯與數目
.為何畢達哥拉斯? .數目 .質性的數目 .各種數目系統
.十進位數目,指數寫法(長式)和我們普遍的簡寫形式
.長式和簡式寫法 .二進位數 .度量 .距離與角 .角的度量
.熟悉的度量工具 .數目的種類 .質數和伊拉托森尼斯篩子
.質數的篩子 .畢氏三數組 .畢氏定理 .演示 .婆什迦羅的證明

第三章 柏拉圖立體
.柏拉圖立體 .歷史上的柏拉圖立體 .平面圖形
.三種特殊的直角三角形 .正立方體摺紙 .三種三角形的細節
.碗和馬鞍 .葉面及其孔洞和皺摺 .中心點與外圍 .四面體
.正四面體在哪裡? .正八面體 .正八面體展開圖 .正八面體實例
.正六面體(或正立方體) .正六面體展開圖 .正六面體實例
.交錯穿插的正立方體和正八面體 .正二十面體與正十二面體
.正二十面體展開圖 .正二十面體的黃金分割結構 .正十二面體
.再談黃金矩形 .正十二面體展開圖 .歐幾里得《幾何原本》第十三冊
.歐拉法則 .學生作品

第四章 節奏與週期
.旋轉、節奏與週期 .時間 .輪子 .圓和直徑
.圓周與直徑 .阿基米德應用多邊形的進路 .用正八邊形來計算
. 的命名 . 的遞增精確度 .圓周 .微小、中等及巨大的尺寸
.圓形 .白天、夜晚及內布拉星象盤 .奠基於哥白尼的當代基本圖像
.季節 .地球繞著太陽的橢圓路徑 .克卜勒的行星運動定律
.大的和小的連結 .人類和宇宙的節奏

謝詞
參考文獻
索引

頁數 336頁
備註 

ISBN:9789862729519
本書翻譯自:Mathematics in Nature, Space and Time
出版社:遠流

評論

品牌
快速尋找
 
使用關鍵詞尋找您想要的產品.
進階搜尋
2 x 不規則造型木製燭台
1 x 適用於家庭的人智學藥物(簡)
1 x 青少年教育-施泰納給華德福學校老師的八個講座(簡體書)(BC-061)
1 x 造就全人的藝術教育 (簡體)
1 x 重新認識你的孩子(簡體書)
1 x 蜂蠟茶燈
1 x 蘑菇手工藤編籃子
1 x 手工編織偶(H-131)
1 x 巧手染彩虹絲布(H-138)
1 x 珊瑚岭積木(T-022)
2 x Fairy Tales and Art
1 x Authentic Parenting
1 x Observing Nature's Secret預訂
1 x 經典中醫啟蒙(簡體書)
3 x My First Root Children(迷你本)
2 x 美輪美奐:手鞠球製作經典教程
1 x 自我懷疑(簡)(BC-145)
1 x Story of the Butterfly Children
1 x Story of Root Children-迷你本
1 x 以一種光的視角看兒童畫(簡體書)
1 x In the Land of Elves
1 x Woodworking with Children
1 x The Timeless Storyteller
2 x Finger Plays
1 x The Secrets of Metals
1 x ウォルドルフ人形と小さな仲間たち
1 x Toymaking children
1 x Little Pearl
2 x Hello Animals, Where Do You Live?
1 x フェルト原毛で作るふわふわマスコット
1 x Drawing With Hand, Head, and Heart
1 x 羊毛フェルトテクニックブック
1 x Sunflower Houses-預訂
1 x 華德福教育之旅-三部曲之一(簡體書)
1 x An Unknown Destiny-預訂
2 x Story of Wind Children
1 x The Creative Choir
2 x 靈性生態(簡體書)(BC-148)
2 x ウォルドルフ人形
2 x Creative Wool
1 x Four Large Watercolour Motifs of Rudolf Steiner
2 x Rain or Shine(繪本)
1 x 木製蠟燭燭台(H-102)
1 x 你不是孤單一個人(簡體書)
2 x Painting in Waldorf Education
1 x The Power of Limits:Proportional Harmonies in Nature
1 x Let's Dance and Sing!(WECAN版)
1 x Toward a New Theory of Architecture
1 x Ancient Myths and the New Isis Mystery
2 x Pull the other one(預定)
1 x 藝術療癒中的光暗與色彩(簡體書)(BC-186)
1 x Therapeutic Eurythmy for Children
2 x Norbert the Winter Gnome
1 x Pippa and Pelle
1 x Eurythmy as Visible Singing預訂
2 x Play With Us: Social Games for Young Children
1 x 大地的禮物(簡體書)
2 x Teaching English
2 x New Life – Mother and Child
2 x Organic Manure
1 x Metamorphosis in Nature and Art預訂
2 x More Magic Wool(神奇的羊毛二)(預訂)
1 x Ancient Greece
1 x A Student's Workbook for Mathematics in Class 7
1 x The Early History of Eurythmy
2 x The Roots of Education
2 x もめんの服が好きだから
1 x Colour(By Ueli Seiler-Hugova)
1 x First Steps in Natural Dyeing(B-001)
2 x My First Snow Children
2 x Wake up, Let's Play
1 x Awakening Intelligence
1 x Movement for the Young Child
1 x Foundations of Curative Eurythmy
1 x Please, Can We Play Games?
2 x Imagination's Music
1 x 天使在我家(簡體書)
1 x Architecture, Sculpture, and Painting of the First Goetheanum
2 x Magic Wool Mermaids and Fairies
1 x Eurythmy, Its Birth and Development預訂
2 x Hazy Mountain
1 x Zodiac:An Exploration
1 x 華德福經典童書.Jakob Streit 系列 根芽兒
1 x Mathematics in Nature, Space, and Time
4 x Hello Animals, How Do You Sleep?
1 x 彈弓(木製)(T-003)
1 x A Modern Art of Education
1 x Physical and Spiritual Experience of Color(預訂)
1 x Story of Rabbit Children
1 x The Storytelling School : Handbook for Teachers
1 x Peter's Tree--預訂
2 x The Mystery Feast
1 x The Singing, Playing Kindergarten
1 x Pip the Gnome
1 x In the Land of Twilight
1 x Amish Doll Patterns
1 x The Music of the Spheres
1 x The Well Balanced Child
1 x Mr. Goethe's Garden
1 x Snow White and Rose Red
1 x Snip, Snap, Snout
1 x Little Red Riding Hood
1 x 人智學和華德福教育-三部曲之三(簡體書)
2 x Magical Window Stars(預訂)
1 x Anthroposophy and Natural Sciences
1 x Isabella's Journey to the Centre
1 x Managing Screen Time
1 x Painting with Children
1 x An English Grammar(B-057)
1 x Pippa and Pelle in the Summer Sun
1 x Story of Snow Children
1 x The Art of Colour and the Human Form
1 x Form Drawing Grades One through Four
1 x Colour Pathways for the Soul(CD)
2 x Light & Darkness(精裝)
1 x Art, Aesthetics and Colour
1 x Baking Bread with Children
1 x Story of Root Children
1 x 娃娃家-家具組A(廚房)(T-027)
1 x 行動中的願景(簡體書)
1 x Eurythmy for the Elementary Grades
3 x 與教師討論
1 x Projective Geometry
1 x Looking for a Fairy
2 x Creative Felt: Felting and Making More Toys and Gifts預訂
1 x Hello Farm, How Do You Do?
2 x Now that Night is Near
1 x Art and Human Consciousness
1 x In Blue Mountains
1 x Michael-Mystery
1 x 自然的心聲:華德福學校的音樂課(簡體書+CD)
1 x The Living World of Plants
1 x My Luve's Like a Red, Red Rose
1 x All Year Round
1 x フェルトのマスコット&雑貨 (きっかけ本)
1 x 人智學視角下的老年癡呆(簡)(BC-147)
1 x Working with the Angels
3 x Hello Animals, What Makes You Special?
1 x 認識真正的自己(簡體)
2 x Rose Windows
1 x The Natural Storyteller
2 x King Thrushbeard
2 x Diagnostic and Therapeutic Elements in "Light-Darkness-Color"
1 x In the Land of Merfolk
1 x Making More Flower Children
1 x A Student's Workbook for Mathematics in Class 6
1 x Little Fairy's Meadow Party
1 x Crafts through the Year
1 x Beautiful Paper Stars
1 x Atlantis
1 x 華德福小學數學(簡體書)
1 x 優律司美的新藝術如何開始
1 x Eurythmy: A Creative Force in Humanity(預訂)
2 x Painting at School
1 x Sun Seed(大本)
2 x Mother Earth's Children
1 x 自然的故事(簡體書)
1 x Tomtes Of Hilltop wood
1 x Jonathan and the Tree
1 x Rainbows, Halos, Dawn and Dusk
1 x Conversations about Painting with Rudolf Steiner
2 x Illustrated Treasury of Hans Christian Andersen's Fairy Tales
1 x 羊毛フェルトのマスコットCOLLECTION
1 x The Power of Grammar
4 x Hello Birds, What Do You Say?
2 x Harvest Story
1 x Numerica
1 x Seeing Colour-A Journey through Goethe’s World of Colour
1 x A Psychology of Human Dignity
3 x Woody, Hazel, and Little Pip迷你本
2 x The Arts and Their Mission (CW 276)
1 x Basic Sculptural Modeling
2 x Making Geometry
2 x Hello!繪本組
1 x Hannah on the Farm
2 x Goethe and the Power of Rhythm
1 x Everyday Eurythmy
1 x The Secret Language of Form
1 x フェルトで雜貨を作ったら。
1 x An Outline of Esoteric Science預訂
1 x The Age of Discovery
1 x Crocheting Soft Toys
1 x In the Light of the Child
3 x Weaving with Children
1 x Authentic Parenting
1 x Rapunzel
1 x The Physics of Human Experience
1 x On the Way to Christmas
1 x This Is the Way We Wash-a-Day-預訂
2 x Hello Bugs, What Do You Do?
1 x THE ONE of the Emerald Tablet
1 x Ancient Rome
1 x Rudolf Steiner's Curriculum for Steiner-Waldorf Schools預訂
1 x Where Do They Go When It Rains?
1 x An Artist's Book of Inspiration
1 x A Handbook for Steiner-Waldorf Class Teachers
1 x One Thousand and One Nights
2 x Painting and Drawing in Waldorf Schools
1 x 兒童繪畫與中國神話世界(簡體書)
1 x 羊毛フェルトアイデアブック
1 x おうちニット冬の手編み時間
1 x A Study Companion to An Outline of Esoteric Science
1 x 人心(簡體書)(BC-3061)
1 x Manual for teaching the Alphabet using Waldorf methods
1 x A Life with Colour
2 x Magic Wool Mermaids, Fairies and Nymphs Through the Seasons
1 x Art Therapy in Practice
1 x Under the Stars-預訂
2 x Rudolf Steiner's Sculptural Group
1 x Little King December
1 x 亞特蘭提斯(簡)(BC-146)
1 x The Physiology of Eurythmy Therapy
2 x Skye the Puffling-A Wee Puffin Board Book
2 x 治療優律思美(BC-174)(簡體書)
1 x 像植物一樣思考(簡體書)
1 x 華德福手工書(三本一套)(簡體書)(BC-064)
1 x 羊毛フェルトのかんたん小物&バッグ
1 x 優律司美作為可視的歌唱(BC-173)(簡體書)
1 x Pip the Gnome's Bedtime
1 x 原色手工積木(52塊)(T-017)
1 x フェルトでつくる帽子
1 x The Birthday Book
1 x The Storyteller's Way
1 x Magic Wool(神奇的羊毛)
1 x The Wonder of Lullabies
1 x 一場穿越時空的探險:原來孩子可以這樣學歷史(簡)
1 x Bare Hand Knitting
1 x Fast, Fun & Easy Needle Felting
2 x Language Teaching
1 x Sun So Hot I Froze to Death
1 x The Blue Forest-預訂
2 x Arts and Crafts in Waldorf Schools
1 x Work and Play in Early Childhood
2 x Teaching Foreign Languages(預訂)
1 x Princess Sylvie
1 x Planetary Influences upon Plants-預訂
1 x Color:Its Relationship to Soul and Spirit
1 x Colour Dynamics(平裝版)
1 x Parenting with Values
1 x Goethe on Science
1 x Knitted Aviary: A flock of 21 beautiful birds to knit
2 x What's Hiding In There ?
1 x Creative Felt
2 x The Whale, the Sea and the Stars
2 x 特價品Aunt Brown's Birthday
1 x Practical Advice to Teachers
1 x Completing the Circle
1 x Cancer Recovery Guide
1 x Peter and Lotta's Adventure
1 x The Story of Little Billy Bluesocks
1 x Woody, Hazel, and Little Pip
1 x The Child's Changing Consciousness
1 x Foundations of the Extra Lesson
1 x Arts and Their Mission
1 x The Individuality of Colour-預訂
1 x Resource Teacher’s Developmental Exercise Manual-需預訂
2 x つきのよるの黑井健繪本
2 x Goldie at the Farm
1 x The Zodiac Gestures in Eurythmy
1 x The Nettle and the Butterfly-迷你本
2 x When I Hear My Heart Wonder
2 x Elsa Beskow Calendar 2020
1 x Goethe's Science of Living Form-The Artistic Stages
1 x Eurythmy and Rudolf Steiner
1 x The Tasks and Content of the Steiner-Waldorf Curriculum
1 x Rudolf Steiner, Life and Work(預訂)
1 x The Calendar of the Soul-A Commentary預訂
1 x The Story of King Lion
1 x Uncle Blue's New Boat
1 x Child's Play 3
1 x The Human Life
1 x By the Light of the Lanthorn
1 x Home Nursing for Carers
2 x When the Sun Rose(當太陽像玫瑰一樣昇起)
1 x Goethean Science(Mercury Press)
1 x Chalkboard Drawing
3 x Tomtes of Hilltop Farm
1 x Your NOT the Boss of Me!
1 x Teaching Language Arts in the Waldorf School
1 x Beyond the Rainbow Bridge
1 x Education As a Force for Social Change
1 x Geometry for The Waldorf High School預訂
1 x Do You Love Your Teachers?
1 x Nokken: A Garden for Children
1 x Teaching as a Lively Art
1 x The Midsummer Tomte and the Little Rabbits
1 x The Three Wise Men預訂
1 x A Grand Metamorphosis
1 x On the Threshold of Adolescence
1 x Fundamentals of Artistic Therapy Founded Upon Spiritual
2 x Drawing Geometry
1 x Games Children Sing and Play
2 x The Sand Elephant
1 x Healing Massage for Babies and Toddlers-預訂
1 x The Tale of the Little, Little Old Woman
1 x Goethe's Theory of Knowledge
1 x The Cycle of the Year as a Path of Initiation
2 x The Princess in the forest
1 x Theosophy
1 x Approaching TheMystery of Golgotha
1 x Soul Weaving: How to Shape Your Destiny and Inspire Your Dreams
1 x At Home in Harmony(含CD 1片)
1 x Awakening intelligence
1 x The Andover Proceedings
1 x Tapestries: Weaving Life's Journey(預訂)
1 x Bedtime Storytelling
1 x Coloring with Block Crayons
1 x Discussions With Teachers
2 x 特價品Aunt Green, Aunt Brown & Aunt Lavender
1 x Astronomy for Young and Old
1 x The Alpha Beta Book
1 x Calendar of the Soul
1 x The Little Ass(只有一本售完絕版)
1 x The Effects of Esoteric Development
1 x Peter's Old House
1 x Education Through Art
2 x Gnome Craft Book
1 x Transformational Teaching
1 x Autumn Tales
1 x Spring Tales-The Spring tales collection
1 x 植物(卷一)(簡)(BC-136)
2 x Elsa Beskow Baby Book
1 x Developmental Dynamics in Humans and Other Primates
1 x The Imagery of the Zodiac-預訂
1 x The Age of Revolution
1 x Magic Wool Fruit Children
1 x The Wind Boy
1 x In the Land of Fairies
1 x Creative Therapy for Children with Autism, ADD, and Asperger's
1 x Soul Development Through Handwriting
1 x Paper Folding with Children
2 x The Town Musicians of Bremen
1 x Three Craws-A Lift-the-Flap Scottish Rhyme
2 x Goodnight Sandman
1 x Goodnight(繪本)
2 x Nativity Plays for Children
1 x Festivals Together
1 x Windows into Waldorf: An Introduction to W Ed
1 x Tomtes Of Hilltop Stream
1 x Theosophy
1 x Healing Plants 3(預訂)
1 x Education for Special Needs
1 x Architecture
1 x The Way of Gnome
1 x The Wonder of Trees
1 x The Little Gnome Tenderroot
2 x Goldie at the Orphanage
1 x Spindrift
1 x 熄燭器-鐵製(H-104)
1 x Stress-Free Parenting in 12 Steps
1 x Christ and the Spiritual World and the Search for the Holy
1 x The Art and Science of Teaching Composition
1 x Seeing Christ in Sickness and Healing
1 x The Case for Home Schooling(預訂)
1 x Thumbelina
1 x The Yule Tomte and the Little Rabbits
1 x Goethean Science
1 x Study Of Man
1 x 巧手染-彩虹亮光絲綢披風(H-101)
1 x Biography-Freedom and Desting預訂
1 x 原色手工積木(32塊)(H-103)
1 x I Am Different from You(預訂)
1 x 一年中的內在之旅(簡)(BC-143)
1 x Making Fairy Folk
1 x Easter
1 x The Harmony of the Human Body
1 x Dessert FourPlay
1 x The Little Christmas Tree
1 x Pippa and Pelle in the Spring Garden
2 x Goldilocks and the Three Bears
1 x Plato's Dialogues
1 x The Pied Piper of Hamelin
2 x Where is my sister?
1 x Encountering the Self
1 x The Genius of Play
1 x Sexual Abuse of Children: Understanding, Prevention, and Treatme
1 x The Way to the Stable
2 x Flower Heaven
1 x Kids Knit!: Simple Steps to Nifty Projects(預定)
1 x The Golden Path
1 x Making a Family Home
1 x Three Grimms' Fairy Tales
1 x Storytelling with Children(Revised Edition)
1 x Kids Knitting預訂
1 x Aunt Brown's Birthday
1 x How to Know Higher Worlds-預訂
1 x Movement Journeys and Circle Adventures
1 x Sew Soft Toys
1 x The Christmas Rose
1 x A Guide to Child Health(第四版)
1 x The Book of Camp-Lore and Woodcraft
1 x Toy Making
1 x Making Soft Toys
1 x The Donkey's Dream(驢子的夢)
1 x 這樣吃,人生大混亂:你從來不知道的食物力
1 x Making Needle Felted Animals
1 x Helping Children on Their Way-預訂
1 x Play! Recorders in the Classroom Third Grade(套)
1 x Observing the Class; Observing the Children
1 x An Illustrated Treasury of Hans Christian Andersen's Fairy Tales
1 x Making Woodland Crafts
1 x Math Lessons for Elementary Grades
1 x Intervals, Scales, Tones
1 x New Eyes for Plants
1 x Making Soft Dolls
1 x Children of the forest-迷你本
1 x Waldorf Book of Blessings
1 x Human Values in Education
1 x Mini Knitted Farmyard
1 x 找回自己內在的醫生
1 x Making Peg Dolls and More
1 x Parzival: An Introduction
1 x Grandfather Twilight(黃昏爺爺)
1 x Biographies for 8th Grade History
1 x Muscles and Bones
1 x The Christmas Craft Book
1 x Transparent Window Scenes through the Year
1 x Human Hearing and the Reality of Music
1 x Fee Fi Fo Fum
1 x 病是教養出來的 4 : 你有所不知的創傷與學習困難
1 x Winter, Awake!
1 x Medicine at the Threshold Of a New Consciousness
1 x Cherry Blossom and Paper Planes
1 x Fairy Worlds and Workers
1 x Gymnastic Education
1 x Games Children Play
1 x Children and Their Temperaments
1 x Around the Year(繪本)
1 x Making Waldorf Crafts
1 x Mini Knitted Woodland
1 x Needle Felting
1 x Mini knitted Toys
1 x Gnomes & Friends
1 x Dragonsblood
1 x Mathematics Lessons for the Sixth Grade
1 x Making Fairy Tale Scenes
1 x 世界歷史中道之推動
1 x Tapestry of a Waldorf Curriculum
1 x Eggs for the Hunting-預訂
1 x Painting Plant Portraits
1 x Bear Child
1 x Finger Strings
1 x 異位性皮膚炎,21世紀流行病的真相與治療
1 x Movement, Your Child’s First language
1 x Carl Larsson's Home, Family and Farm
1 x A Year in Our New Garden
1 x Healing Plants(預訂)
1 x 好奇的小魚(繪本)
1 x 移動中的平衡
NT$387,027
分享產品
Share via E-Mail