• 文/巴拿巴

    築夢起點:從府城、台北到偏鄉的教育初心

    孫德珍,出生於台南,成長於台北,後遠赴美國留學取得博士學位。學成之後,她選擇新竹作為孩子的第二故鄉,並在此展開她深刻而漫長的教育實踐。

    回首起點,孫德珍出生於清貧家庭,從小嚮往讀書。高中時,她雖考取了指標性的北一女中,卻毅然選擇進入女師專。當時的她,對教師這一職分其實相當排斥;然而,生命在遇見奧福教學大師蘇恩世神父後產生了轉折,她的心態逐漸被轉化,自此立志成為一位好老師。

    師專畢業後,她主動選擇到一所偏鄉小學任教,甚至吸引了十位同學相隨。初為人師,她便展露出對教育改革的澎湃熱忱,帶領孩子們活出最天真、最可愛的生命樣貌。

    轉身奉獻:離開音樂殿堂,走向教育現場

    她是一位卓越的音樂指揮家,曾創辦合唱團與管弦樂團,獲獎無數,更曾擔任大學音樂系主任;然而,為了全身心投入教育改革,她毅然辭去大學教職,告別了掌聲不絕的表演舞台。

    她也是一位敏銳的音樂教練,總能精準看出學生的瓶頸,用獨特的方法引導學生突飛猛進,栽培出無數優秀的徒弟。只是,她從未想過靠這份過人的能力為自己累積財富,而是選擇將所有的生命與時間,無私地投進基層教育現場。

    作為音樂教育家,她以十八年的歲月默默醞釀,淬鍊出一套音樂教材《音樂的生活・美的分享》。這套教材採用中華文化的素材,讓華人孩子快樂學音樂,也讓老師能從容地教學。當時,審查委員陳澄雄教授盛讚其音樂「無懈可擊」,陳藍谷教授讚賞其課程架構的深厚功力,師院教授代表更感動地表示:「等了三十年,終於等到這套書。」

    她同時也是一位充滿靈性的寓言作家。她的兒童歌劇《小池王國》曾榮獲論壇報舞台劇本獎,評審張曉風教授特地撰文推薦,稱其為一齣成功的寓言劇,兼具恣縱自如的想像力與活潑多重的象喻,既適合成熟的孩子,也適合童心猶存的大人。

    雖然未曾受過專業的導演訓練,孫德珍卻巧妙地透過課程設計,將兒童歌劇的演出難度化解於無形。當年劇本參賽時,評審雖給了最高分,卻因擔心作品難度過高、連專業劇團也難以駕馭,而改列第二名。然而,雅歌的孩子們卻跌破眾人眼鏡地把《小池王國》給演活了!那三年一度的公演盛況空前,更被劇評家夏學理譽為:「台灣的文化奇蹟在新竹!」

    跨界實踐:以多元智能打破學科疆界

    身為教育家,她堅持以師徒制培訓老師,用多元智能讓孩子「學得會」,用品格教育讓孩子「願意學」。她不斷精益求精、挑戰自我,甚至親自示範如何教學不同的科目,向老師們活出「學習如何學習」的真義。

    孫德珍的教育之路,從不自我侷限在熟悉的音樂專業裡。為了讓學生真正聽懂,她勇於跨足一個個全然陌生的領域。她雖以音樂為根,但只要哪一個學科成為孩子的理解障礙,她就願意親自進去鑽研、尋找新教法。

    她雖非語文專長,卻大膽挑戰語文教學。她教孩子寫作,不從死板的格式規則下手,而是在第一堂作文課就帶領孩子寫出一場熱鬧的動物選美會;她教高中生閱讀經典,不教他們死背答案,而是傳授如何用透視鏡去比對、辨識與理解。她甚至走進自己原本也感到遙遠的科學領域——曾有老師在觀摩完她講授「光合作用」後,深受震撼地對她說:「如果我以前有這樣的老師,我一定會愛上科學。」這句話之所以動人,正因為她是用一個「外行者如何弄懂」的視角,為孩子搭起理解的橋梁。

    為了驗證「沒有學不會的孩子」,她持續從三個方向挑戰教育的極限:

    • 挑戰最難理解的教材: 她親自教導孩子被公認最難理解的歷史——舊約聖經,並由此發展出《孫校長談品格》課程。
    • 挑戰最不易懂的年齡: 她挑戰教導尚未入學的幼兒,帶領他們神遊《紅樓夢》與《道德經》「上善若水」的意境,甚至讓幼兒輕鬆理解雞兔同籠、開根號等一般人認為太早、太難的數學,進而發展出《品格語法》教材。
    • 挑戰最具潛力的環境: 她創新發展出練琴系統,讓孩子透過電腦學習環境高效練琴,使幼兒在室內樂比賽中驚豔評審。

    她更是幼兒教育的數位先驅,早年便引進電腦學習環境的概念,親自寫電腦程式、發展音樂軟體,讓幼兒也能享受創作音樂的樂趣。她善於營造浸潤式的情境,開啟學生的解碼系統,讓孩子對數學問題一眼看穿,建立起熱愛數學的思維。

    她深信胎教,注重幼教。她曾用「先寫再讀」的獨特方式教孩子英文,創造了驚人的成效。她編寫的教材生動、故事感人,寫下的文章常被四處引用;只是,市面上很難找到她的著作,因為她把所有的精力都給了孩子,沒有時間去為自己出版。

    在課程架構上,雅歌從未脫離國家課程綱要另起爐灶,而是完全依據課綱發展,並在統整與呈現上形成了獨一無二的特色。其中,「藝術與人文」是雅歌最核心的風景,也是交融性課程最重要的示範場域。語文、音樂、數學、社會、自然、品格、體能等學習,都在這個整體架構中彼此呼應。主題課以人文為主軸涵蓋社會科;研究課則透過自然觀察與實驗來承載科學;同時搭配體能課與菜園種菜,讓學習走出課本,落實在身體、環境與生活之中。此外,雅歌更引進雙語的甘特寓言,曾成為藍色經濟示範校園,讓課程不僅連結知識,更連結了永續生態與國際視野。

    逆境堅守:歷經播遷與病慟的雅歌歲月

    然而,這段備受肯定的教育傳奇,卻長期因缺乏合法校地而走得步履維艱。

    2002年,新竹縣政府允許雅歌併入大坪國小進行「公辦民營」試辦。然而,由於當時這類試辦缺乏完善的法律依據,開學之際,雅歌師生雖已完全併入大坪,孫德珍卻未能被納入學校體制編制。她因此失去了實質的主導權,卻仍必須為整個實驗成敗承擔一切責任。

    幾經思量,為了孩子,孫德珍仍選擇在無給、無權的困境下,默默陪伴大坪師生。但不久後,她終因身心俱疲、心臟衰竭而倒下。在醫生嚴厲要求完全退出休養的醫囑下,她於2003年遠赴美國休養,其後僅在假期間返國持續進行師資培訓。

    在美國休養期間,幾位雅歌的孩子因為不捨,特地跟隨她前往美國。孫德珍便在當地成立了「雅歌私塾」,一面陪伴這群孩子學習,一面近距離觀察美國的中學教育。

    2007年,台灣基督書院特別邀請孫德珍返台擔任學務長,為學校建置品格教育。在職期間,她不僅授課,更承擔起全校學生的生活輔導,透過每週週會,逐步將品格教育從人物典範梳理到每週核心品格,建立起一套完整的系統。

    同時,她仍心繫昔日的雅歌孩子。她持續為孩子們開設品格課,深入研究「閱讀解碼系統」。這套教學挑戰了公認最難讀懂的歷史材料——舊約聖經,探索如何讓孩子真正看懂,這份探索後來延伸成了佳音電台《與聖經有約》中的教育節目——《孫校長談品格》。

    當感覺到自己來日無多,孫德珍決定回到新竹,全心籌備讓雅歌復校。然而命運弄人,返台未久,她便被確診為淋巴癌末期。面對噩耗,學生們不捨離去,堅持陪伴老師一起走過這段艱難的抗癌路。

    在苗栗縣政府的支持下,雅歌曾在四季山莊展開復校,這段時期也成為雅歌課程發展最輝煌的里程碑之一。孫德珍在此期間進一步發展出「雅歌數學」,透過閱讀解碼的條件,讓孩子不僅學會數學,更開始喜愛數學;幼兒園也在此時發展出幼兒雙語與經典閱讀課程。此時,甘特寓言不僅以雙語劇本的形式活靈活現地上演,雅歌更正式成為藍色經濟示範學校。

    2011年,奧地利教育界經過一年的觀察與接洽,鄭重邀請孫德珍赴歐協助教育改革,分享雅歌的教育經驗。由於奧地利有十個省分,主辦方希望孫德珍能安排四週以上的時間進行巡迴檢視與指導,並同意讓雅歌的學生同行,以提供大師課作為回報。於是,雅歌師生共同展開了一段國際瞩目的旅歐課程。

    當時,孫德珍帶著國旗在歐洲暢談教改,載譽而歸。然而,國際的掌聲並未能化為本地立案的及時雨。因為堅持不收高昂學費,長年下來,孫德珍始終用自己的積蓄與力量去補足孩子學費的缺口,獨自承受著沉重的債務壓力;與此同時,她的健康狀況也愈發令人擔憂。旅歐返國一年後,2013年,雅歌無奈地吹響了熄燈號。

    生命的交響:讓教育回到生命本身

    雅歌雖然熄燈,但孫德珍的腳步未曾停歇。她持續以「雅歌私塾」的形式陪伴學生,親自帶領大混齡班、教授八年級英文。隨後,她在幼兒園推動雅歌樂團與練琴系統,持續深化品格語法、經典閱讀與閱讀解碼教學,讓孩子們在音樂、朗讀與各類比賽中依然展現出亮眼的生命力。

    她的教育實踐,在不同的場域都激起了深刻的回響。無論是在雅歌的課堂、偏鄉的校園、基督書院的講堂,還是在奧地利與香港的教育交流中,她始終關心的,從來不是如何複製一套冰冷的制度,而是如何讓教育回到生命本身,成為一種可被實踐、可被傳傳的文化。

    對孫德珍而言,學校從不只是傳遞知識的場所,而是一個能讓孩子被看見、被成全、並逐漸活出本色的生命共同體。她所追求的,不是培養出盲目追求成績的學生,而是培育出能理解世界、與人同工、並願意為他人帶來祝福的人。

    她似乎擁有很多隨手可得名利的才華,表現也常令人刮目相看。那麼,她究竟如何看待自己?

    山泉原是天上的雲霧, 她看過雲起時, 也到過水窮處。 為了實現夢想, 她從高處往低處流, 滋潤了別人,也弄髒自己。 她總是在別人的故事裡, 流自己的眼淚。

    上善若水。辦教育,需要的正是這份寬廣的胸懷。

    她的創意原可以換來巨額的財富,她的能力原可以讓自己過上優渥的好日子;但她不要名,也不要利。她唯一的堅持,是在有生之年把一件事徹底做好:讓雅歌復校。

    也因此,當許多人對台灣的教育改革感到迷茫與失望時,她與她的雅歌依然佇立在那裡,成為一個溫柔而堅定的提醒——教育不是沒有可能,台灣,也從來不是沒有希望。

  • 她曾是站在鎂光燈焦點、揮舞指揮棒的音樂家,創辦過樂團與合唱團,得過無數獎牌,甚至高居大學音樂系主任。在世俗眼中,她的才華足以為她換來優渥的名利與好日子。然而,她卻在人生的高峰轉身,辭去教職、離開舞台,將腳步踏進了台灣教育改進的最前線。

    她是孫德珍。一個選擇把新竹當作孩子第二故鄉,並用一生歲月守護台灣教育希望的傳奇女子。

    生命的高度與寬度:跨界的奇才 孫德珍的生命軌跡是一場豐富的跨界壯遊。她出生於台南、成長於台北,在美國完成博士學位。她不僅是音樂指揮,更是精準點出學生瓶頸的「音樂教練」;她曾以兒童歌劇《小池王國》榮獲舞台劇本獎,深受評審張曉風教授推崇。更在前瞻的幼兒教育中,引進電腦學習環境,讓牙牙學語的幼兒也能跨界創作音樂。

    她用十八年的時間,醞釀出一套專屬華人孩子的音樂教材——《音樂的生活、美的分享》,用中華文化的素材,實踐了「孩子快樂學、老師輕鬆教」的教育理想。

    山泉的隱喻:滋潤別人,弄髒自己 有人形容她像一條從高處流向低處的山泉。她看過雲起,到過水窮,卻為了實現理想,甘願告別精緻的殿堂,走入繁雜、辛苦的基礎教育基層。在這條路上,為了培訓老師、守護孩子,她不計代價地付出。正如那句令人動容的寫照:「為了實現夢想,他從高處往低處流,滋潤了別人也弄髒自己。他總是在別人的故事裡,流自己的眼淚。」

    雅歌:台灣教育的希望之光 許多人感嘆台灣教育改革的困境,那是因為他們還沒有看見「雅歌」。孫德珍以師徒制傳承經驗,用多元智能開啟孩子的潛能,用品格教育喚醒學習的渴望。對她而言,名與利皆可拋,她在有生之年唯有一個堅持——讓雅歌復校,讓這個融合了美、品格與智慧的教育園地,成為台灣教育真正的希望。

  • Chapter 1

    From Awakening to Living

    Many children struggle in school not because they lack intelligence, but because they cannot find an entrance into understanding. Others gradually lose motivation because they no longer know why learning matters to their lives. When learning loses meaning, children often seek refuge in virtual worlds, games, or temporary forms of belonging.

    Arco Experimental School was founded in response to these two educational questions:

    • How can children learn to understand?
    • How can children become willing to learn?

    Over years of educational experimentation, Arco gradually developed four interconnected frameworks: MINE, Sim Life, PLUS, and LIVING.

    MINE (Multiple Intelligence Niche Exploration) was developed as an intelligence stage that helps children learn through different entrances. Based on the theory of multiple intelligences, MINE integrates language, music, images, movement, manipulation, roles, and situations into different pathways toward understanding. It allows abstract concepts to become accessible through multiple forms of perception and participation.

    Sim Life was developed as a life stage that helps children become willing to learn. Through simulated professions, missions, relationships, and responsibilities, children enter meaningful situations in which learning becomes connected to identity, dreams, and future possibilities.

    PLUS (Personal Learning Unfolding System) was developed as a supportive decoding environment. Through mixed-age interaction, differentiated participation, flexible structures, peer support, and apprenticeship-style learning, PLUS creates the conditions in which understanding can emerge and grow.

    Finally, Arco sought to develop LIVING — a life community shaped by love, offering, models, and shared responsibility. In this community, learning is no longer limited to academic achievement, but becomes part of how children understand themselves, relate to others, and participate in life.

    Together, these four frameworks form the educational philosophy of Arco:

    • MINE opens entrances into understanding.
    • Sim Life transforms learning into lived experience.
    • PLUS provides the environment that supports decoding.
    • LIVING cultivates a community in which life itself may flourish.

    Within this larger framework, Arco further discovered that many children experience surprising breakthroughs when learning occurs through musical intelligence rather than only through linguistic intelligence. Rhythm, sound, movement, and embodied interaction often allow abstract structures to become tangible and emotionally accessible.

    Through years of classroom exploration, Arco gradually organized a decoding framework called the CHARACTER Decoding System, consisting of nine learning conditions:

    • C — Context:when abstract concepts are grounded in context
    • H — Home:when an apprenticeship environment is present
    • A — Affection:when learners desire to participate
    • R — Read Aloud:when text is interpreted through voice
    • A — Awakening:when learning is driven by questions
    • C — Commitment:when content is refined to its essentials
    • T — Transfer:when problems are represented through media
    • E — Encoding:when answers are verified through structure
    • R — Recognition:when learning is presented before others

    These nine conditions are not a checklist, but a set of interrelated supports that help children enter understanding. Different lessons may activate different conditions; however, when these conditions consistently exist within a learning environment, children gradually develop the ability to decode abstract concepts.

    Chapter 2

    Classroom Examples of the CHARACTER Decoding System

    The previous chapter introduced CHARACTER as Arco’s decoding framework. This chapter presents classroom examples that illustrate how each condition appeared in actual teaching practice.

    These examples are not intended to show that every lesson contained all nine conditions. Rather, each example highlights one condition and demonstrates how Arco designed learning experiences that helped children enter abstract understanding.

    C — Context: When Abstract Concepts Are Grounded in Context

    Tile Shops and the Embodiment of Square Roots

    In teaching square roots, Arco did not begin with mathematical symbols. Instead, children first entered the context of a “tile shop.” Acting as shop owners, they used small square tiles to construct squares and explore the relationship between area and side length.

    Children first described the structure in Chinese:

    “A square with an area of 9 has a side length of 3.”

    They then expressed the same idea in English:

    “The square with an area of 9 has a side length of 3.”

    Only afterward did the teacher introduce the mathematical expression:

    √9 = 3

    At this moment, the teacher introduced “how masters say it,” helping children discover another language: mathematical language.

    Children often reacted with surprise:

    “It’s so short!”
    “So powerful!”

    Mathematical symbols were no longer unfamiliar marks, but a condensed language that captured experience and structure. Thus, Context grounded abstract concepts in meaningful situations before symbolic representation was introduced.

    H — Home: When an Apprenticeship Environment Emerges

    Exploring Prime and Composite Numbers Together

    In a lesson on prime and composite numbers, children from first through fifth grade explored mathematical structures together. Rather than beginning with formal definitions, the teacher first presented a number, such as 13, and invited children to divide it evenly using chess pieces or grid paper.

    The children arranged the pieces into one row, then two rows, three rows, four rows, and so on, testing every possible arrangement up to 13 rows. They discovered that 13 could only be divided evenly into one row or thirteen rows; all other arrangements produced remainders. The teacher then demonstrated the number 12, showing that it could be evenly arranged into 2, 3, 4, or 6 rows.

    Only afterward did the teacher introduce the terminology:

    • Numbers that could be arranged into “rectangular boxes” were called composite numbers.
    • Numbers that could not be evenly divided except by 1 and themselves were called prime numbers.

    This lesson became a Home because it contained three essential conditions: mentor awakening, peer support, and accessible tools. The teacher guided learning through questions and awakening; children observed, imitated, and supported one another; and chess pieces and grid paper remained constantly available for repeated manipulation, revision, and verification.

    Thus, Home was not unstructured freedom, but an apprenticeship environment in which understanding could grow.

    A — Affection: When Learners Desire to Participate

    My Treasure and Classroom Shops

    In a sharing activity called My Treasure, each child brought a personally meaningful object to class. Rather than allowing free and unfocused sharing, the teacher guided children to focus on several key questions:

    • What is its name?
    • Why did you give it that name?
    • Why is it important to you?

    Because the objects genuinely mattered to the children, they prepared voluntarily and worked hard to express themselves clearly.

    The same phenomenon appeared in classroom shop activities. When children knew they would bring products, set up stores, welcome customers, and complete transactions, they usually required no reminders from teachers. They prepared on their own initiative.

    Thus, Affection was not simply about making learning “fun.” It emerged when learning became connected to life, and children began to desire participation.

    R — Read Aloud: When Text Is Interpreted Through Voice

    Language Immersion and Relay Reading

    In language immersion lessons, the teacher first told a story while inviting children to enter different roles and help build the situation together. When the plot required dialogue, children naturally needed to read the lines aloud.

    The teacher transformed the story into a script and allowed children to choose roles they liked, including the narrator. Since the lines varied in length and difficulty, children could select parts that matched their abilities.

    Through relay reading, text was no longer merely a set of symbols on paper. It was interpreted through pauses, tone, rhythm, and emotion.

    Thus, Read Aloud gave text a voice. It allowed children to enter understanding through sound, while also enabling them to choose roles they were able to fulfill.

    A — Awakening: When Learning Is Driven by Questions

    When Music Tiles Begin to Speak Chinese

    In a music lesson, children sang Little Chick Drinks Water. In Mandarin Chinese, when a third tone is followed by a first tone, the vocal contour often forms a fourth interval. For example:

    • xiǎo jī 小(3)雞(1) → E A
    • hē shuǐ 喝(1)水(3) → A E

    The teacher used music tiles labeled E and A. Children first recited “小雞喝水” in Chinese, and then played E A A E on the tiles.

    When they discovered that the melody produced by the tiles matched the tonal contour of the Chinese phrase, they often responded with surprise:

    “The music tiles can speak Chinese!”

    At that moment, children were not merely receiving an answer. They were suddenly seeing a structure between language and music.

    Thus, Awakening became the ignition point of decoding.

    C — Commitment: When Content Must Be Refined to Its Essentials

    Young Anchors and Young Reporters

    At Arco, textbooks were often hidden from view. Instead, the teacher first designed an activity, sometimes even replacing the textbook with a video, so that children could enter a situation before organizing its content.

    In the Young Anchor activity, the teacher first played a video for children to watch carefully. Afterward, children identified key words and wrote them on the board.

    The teacher then guided children to reconstruct the event through those key words, form sentences together, remove unnecessary details, and preserve what was essential. Finally, each child expressed the event in their own words:

    What do I feel about this event?

    Another example was the Young Reporter activity. Before interviewing an expert, children first studied the expert’s background and identified the questions they truly wanted to ask. When facing the expert, they then verified whether their understanding was accurate.

    Thus, Commitment was not merely effort. It was the ability to identify key points, remove distractions, and gradually form one’s own viewpoint.

    T — Transfer: When Problems Can Be Represented Through Media

    Solving the Chicken-and-Rabbit Problem with Chess Pieces

    Transfer did not primarily address children’s inability to calculate. It addressed their inability to understand what an application problem was asking.

    Therefore, instead of beginning with equations, the teacher first invited children to solve the chicken-and-rabbit problem with chess pieces.

    • White pieces represented heads.
    • Black pieces represented legs.

    Children first arranged the heads, and then assigned legs to each head. Chickens had two legs, while rabbits had four. Through arranging, comparing, and verifying, children gradually understood the actual relationships within the problem.

    A problem that originally could only be “thought through” became a structure that could be manipulated. Many children who could not solve the problem mentally began to solve it once they started working with their hands.

    Thus, the core of Transfer was not simply changing the teaching method. It was transforming an abstract problem into a medium that children could see, touch, and manipulate.

    E — Encoding: When Answers Can Be Verified Through Structure

    Exploring the Area Formula of a Circle with a Hundred Grid

    When learning the area of a circle, the teacher did not begin by giving the formula. Instead, children first drew a quarter circle inside a hundred grid and then subtracted the squares outside the curved boundary one by one.

    Gradually, children discovered:

    A quarter circle occupies approximately 78.5 squares.

    The teacher then guided them to organize the structure:

    • 10 × 10 = 100
    • 78.5% of 100 = 78.5
    • Multiplying by 4 gives the area of the whole circle.

    Through this process, children began to see that the area of a circle is related to “radius times radius.”

    Only then did the teacher introduce the mathematical master language:

    A = πr²

    At this point, the formula was no longer a symbol to be memorized. It became a structure children had discovered through manipulation, approximation, and organization.

    R — Recognition: When Learning Is Presented Before Others

    Research Presentations and Turning Stories into Scripts

    At Arco, research lessons always included presentation. Children did not merely complete research; they had to stand before others and teach them.

    They needed to explain:

    • What did I not know before?
    • How did I find the answer?
    • How did I verify it?
    • Why do I believe this is true?

    True understanding was not only being able to understand something oneself, but being able to help others understand it.

    In another example, turning stories into scripts may appear to be a Read Aloud activity on the surface, but at a deeper level it was also Recognition. Children did not simply read a story; they used roles, lines, and performance to help the audience enter the situation.

    Thus, Recognition was not merely the display of results. It was the process through which understanding became visible, audible, and comprehensible to others.

    Together, these examples show that CHARACTER was not a fixed lesson format, but a set of learning conditions through which abstract understanding could emerge.

    Some lessons began with context.
    Some depended on tools and peer support.
    Some awakened understanding through sound, rhythm, and voice.
    Others helped children refine information, transform problems into media, encode structures, or present understanding before others.

    Across these different lessons, the central movement remained the same: children were not asked merely to receive knowledge. They were guided to enter, experience, transform, verify, and express it.

    In this way, decoding became more than comprehension. It became a process through which children gradually learned how to see structure, make meaning, and communicate understanding.

    Chapter 3

    Sim Life: From Refuge to Realization

    Many children do not reject learning because they lack ability. Rather, they cannot see how learning connects to life.

    When reality becomes disconnected from meaning, children often seek refuge in virtual worlds. Games provide temporary belonging, identity, missions, rewards, and emotional compensation. They offer a place where effort appears meaningful.

    Sim Life emerged from an important educational question:

    Could education provide these experiences in real life rather than only in virtual worlds?

    Instead of treating games merely as distractions, Arco began to ask what psychological and educational needs games were actually fulfilling.

    As a result, Arco gradually developed Sim Life — a life-based learning environment without screens or keyboards, where children assumed roles, completed missions, participated in relationships, faced consequences, accumulated experience, and pursued realization through lived situations.

    In Sim Life, learning was no longer separated from life. Mathematics became part of trade, construction, timing, budgeting, and verification. Language became part of reporting, storytelling, negotiation, and performance. Music became part of rhythm, cooperation, emotion, and cultural expression.

    Children gradually discovered that learning was not merely preparation for life:

    learning itself became part of living.

    At Arco, instructional units were not primarily organized as lesson plans, but as activity designs. The purpose of these designs was not simply to deliver knowledge, but to awaken situations.

    In conventional instruction, teaching often begins with concepts and explanations. In Sim Life, learning begins with context, rhythm, roles, relationships, and experience. Knowledge does not knock on the door first; the situation does.

    Children first entered a world.
    Only afterward did they begin to recognize its structures.

    Thus, an activity design was not merely a sequence of tasks. It was the design of an awakening.

    From this foundation, Sim Life gradually expanded into different professions and social roles.

    Children did not merely study occupations from textbooks. They entered situations and became participants within them. A marketplace required shopkeepers, customers, accountants, and reporters. A hospital required doctors, nurses, patients, and caregivers. A research center required investigators, presenters, and evaluators.

    Context naturally brought children into roles, and roles naturally brought them into qualifications.

    A child who wished to become a shopkeeper needed to calculate correctly.
    A child who wished to become a reporter needed to ask meaningful questions.
    A child who wished to become a researcher needed to verify evidence before presenting conclusions.

    In this way, qualifications were no longer external requirements imposed by teachers. They became meaningful abilities connected to participation and responsibility within the simulated world.

    In Sim Life, television stations and newspapers became important learning environments. These settings required children to become young anchors and young reporters — two forms of training considered essential for Arco students.

    Young anchors learned to observe events, identify key points, organize information, and communicate clearly before an audience. Young reporters learned to prepare questions, interview experts, verify understanding, and reconstruct meaning through dialogue.

    These activities also cultivated the ability of Commitment within the CHARACTER decoding system: the ability to distinguish essentials from distractions. Children learned to identify what truly mattered, remove unnecessary details, and gradually form their own viewpoints.

    Thus, media roles in Sim Life were not extracurricular activities. They were part of the core training through which children learned how to observe, interpret, organize, and express the world around them.

    Beyond media roles, Sim Life designed many professions according to the abilities required in different intelligence domains.

    An architect needed to see the structure within a drawing.
    A musician needed to hear the rise and fall of spoken language.
    A comforter needed to listen actively, ask meaningful questions, and help the speaker untie emotional knots.
    A politician needed to recognize responsibility, judge situations, and make decisions.

    Most Sim Life activities were designed from mathematics curriculum indicators. Different professions were created so that children could enter real-world roles and solve problems through different media.

    In this way, ability was no longer an abstract requirement. It became a qualification for participation.

    These professions also became pathways through which children encountered foundational mathematical structures within lived situations.

    The Identity Law helped children recognize that quantity and structure could remain the same even when appearance changed. Through moving blocks, beads, or patterns, children gradually sensed:

    “The outside changed, but the quantity stayed the same.”

    The Zero Law helped children understand that emptiness was also part of structure. When all objects disappeared, children discovered that “nothing” was not chaos, but a return to zero.

    The Commutative Law allowed children to experience how changing order could simplify thinking without changing results. The Associative Law further developed regrouping and structural organization.

    For children, however, the Distributive Law was often discovered through the familiar experience of making change as cashiers in Sim Life shops. When solving:

    99×7=7×(100−1)=700−7=69399\times7=7\times(100-1)=700-7=69399×7=7×(100−1)=700−7=693

    children could immediately “see through” the structure because it resembled the logic of decomposing money while giving change.

    Rather than memorizing algebraic rules first, children encountered mathematical laws through repeated situations involving regrouping, redistribution, and verification.

    Importantly, these experiences began in the lower elementary years, long before formal terminology was introduced. Abstract mathematical structures were therefore experienced first as meaningful actions before becoming symbolic language.
    Because of Sim Life, mathematics lessons at Arco could extend far beyond conventional textbook exercises.

    In one activity, children running a fruit shop needed to record orders containing twenty different items. Using four rhythmic cards, they created different fruits through rhythm patterns and experienced how information could be recorded symbolically.

    In another activity, young accountants needed to calculate the total of twenty transactions, even though they had not yet formally learned arithmetic notation. Each child received twenty playing cards along with ten-unit coins. Instead of writing equations directly, children searched for “friends of ten” — combinations that could form ten as a unit.

    Gradually, children reorganized quantities into groups of ten in order to simplify calculation. Long before formal arithmetic expressions were introduced, they were already experiencing grouping, place value, and structural reorganization through meaningful activity.

    Interestingly, children often preferred activities involving many items rather than fewer ones. The increasing mathematical complexity did not discourage them; instead, it fascinated them. Rather than experiencing mathematics as repetitive drill, children experienced it as the pleasure of seeing through complexity.

    At Arco, mathematics was understood as a language that allows human beings to communicate precisely with nature.

    Sim Life therefore required children to use their own measuring tools to investigate the environment and discover where mathematics existed within lived reality.

    When planning vegetable gardens, for example, children used ropes to divide planting areas into sections. They were not allowed to label plots with names. Instead, they needed to identify locations mathematically.

    As children attempted to describe positions precisely, coordinate systems emerged naturally. Mathematics was no longer introduced first as symbolic abstraction, but as a necessary language for identifying, measuring, organizing, and communicating the world around them.

    Verification also became an essential part of Sim Life mathematics culture. Answers were not considered complete until they could be confirmed through another structure or representation.

    For example:

    4×2=84\times2=84×2=8

    was not verified only numerically. Children were also asked to verify it geometrically by constructing the relationship on a hundred grid or with square units.

    Similarly:

    5>2\sqrt{5}>25​>2

    was explored visually and spatially through chessboards and square constructions. Children discovered that a square with area five must have a side length slightly greater than two.

    Thus, mathematical understanding did not remain within symbolic manipulation alone. Numerical, geometric, spatial, rhythmic, and embodied representations were used to verify one another. Verification therefore became part of the culture of mathematical thinking rather than merely the checking of answers.

    Thus, Sim Life was not a decorative context added after instruction. It was the structure through which learning became meaningful, responsible, and verifiable.

    Children did not merely learn mathematics, language, music, or social skills as separate subjects. They entered situations where these forms of knowledge were required in order to participate. A role created responsibility; responsibility required qualification; qualification required verification.

    In this way, Sim Life moved learning from temporary refuge toward real participation. It allowed children to experience that knowledge was not stored for future use only, but could become immediately useful in life.

    Sim Life therefore answered the second educational question:

    How can children become willing to learn?

    They became willing when learning was no longer detached from life, but connected to identity, responsibility, contribution, and realization.

    Chapter 4

    Sim Life: Designing Situations for Living

    At Arco, learning did not begin with lesson plans, but with activity designs. A lesson plan often begins with knowledge: what concept should be taught, what procedure should be explained, and what answer students should produce. An activity design begins differently. It begins with situation.

    Rather than asking how to deliver information, the teacher first asks:

    What kind of world should children enter?

    In Sim Life, children do not begin by receiving abstract knowledge. They begin by entering a context: a shop, a television station, a research center, a garden, a hospital, a story, or a profession. Only after entering the situation do children begin to encounter the structures hidden within it.

    One of the most important entrances into Sim Life at Arco came from Dream of the Red Chamber, one of the greatest classics in Chinese literature. The lesson did not begin with formulas, symbols, or diagrams. It began with a stone.

    In Chinese culture, a person who does not seem to feel or respond is sometimes described as being “like a stone.” Dream of the Red Chamber begins with such a stone. This stone was originally without feeling. It was later refined by the goddess Nüwa and became capable of awareness. Yet when Nüwa repaired the sky, this stone was left unused. It became the extra stone, the one not chosen, and was abandoned on the Great Waste Mountain.

    For Arco, this stone became a powerful educational metaphor. The stone that could not yet feel resembles many children who “cannot learn” because no entrance into understanding has yet been opened. The stone left behind during the repair of the sky resembles many children who become unwilling to learn because they feel unused, unneeded, forgotten, and not recognized.

    Sim Life begins from this question:

    How can education help the unused stone enter life, gain feeling, and discover its place?

    Thus, Sim Life does not treat stories as decorative introductions to learning. Story becomes the environment through which knowledge can first be felt, roles can be entered, and meaning can begin to emerge.

  • Chapter 1

    From Awakening to Realization

    Many children struggle in school not because they lack intelligence, but because they cannot find an entrance into understanding. Others gradually lose motivation because they no longer know why learning matters to their lives. When learning loses meaning, children often seek emotional refuge elsewhere, retreating into virtual worlds, games, or temporary forms of belonging.

    Arco Experimental School was founded in response to these two educational questions:

    • How can children learn to understand?
    • How can children become willing to learn?

    Arco developed four foundational beliefs, summarized as ARCO:

    • A — Awakening:an intelligence stage that helps children learn through different entrances.
    • R — Realization:a life stage that helps children live out their gifts and become willing to learn.
    • C — Circumstance:a decoding system that enables understanding to emerge.
    • O — Offering:an ecosystem of love and models that allows life to flourish together.

    To support awakening, Arco developed MINE (Multiple Intelligence Niche Exploration) based on the theory of multiple intelligences. MINE integrates language, music, images, movement, manipulation, roles, and situations into different entrances toward understanding. When children find an entrance, abstract knowledge begins to become meaningful, and understanding begins to emerge.

    To support realization, Arco gradually developed Sim Life, a life-based learning environment in which children assume roles, complete missions, participate in relationships, and experience responsibility through meaningful situations. Learning is no longer separated from life, but becomes connected to identity, dreams, and future possibilities.

    Arco further discovered that many children experience surprising breakthroughs when learning occurs through musical intelligence rather than only through linguistic intelligence. Rhythm, sound, movement, and embodied interaction often allow abstract structures to become tangible and emotionally accessible.

    Through years of classroom exploration, Arco gradually organized a decoding framework called the CHARACTER Decoding System, consisting of nine learning conditions:

    • C — Context:when abstract concepts are grounded in context
    • H — Home:when an apprenticeship environment is present
    • A — Affection:when learners desire to participate
    • R — Read Aloud:when text is interpreted through voice
    • A — Awakening:when learning is driven by questions
    • C — Commitment:when content is refined to its essentials
    • T — Transfer:when problems are represented through media
    • E — Encoding:when answers are verified through structure
    • R — Recognition:when learning is presented before others

    These nine conditions are not a checklist, but a set of interrelated supports that help children enter understanding. Different lessons may activate different conditions; however, when these conditions consistently exist within a learning environment, children gradually develop the ability to decode abstract concepts.

    Chapter 2
    Classroom Examples of the CHARACTER Decoding System

    This chapter presents classroom examples that illustrate the nine conditions of the CHARACTER Decoding System. These examples are not intended to show that every lesson contains all nine conditions. Rather, each example highlights one condition and demonstrates how Arco designed learning experiences to help children enter abstract understanding.

    1. Context — Tile Shop and Square Roots
    2. Home — Prime and Composite Numbers
    3. Affection — My Treasure and Classroom Shops
    4. Read Aloud — Turning Stories into Scripts
    5. Awakening — When Music Tiles Speak Chinese
    6. Commitment — Young Anchors and Young Reporters
    7. Transfer — Solving Chicken-and-Rabbit Problems with Chess Pieces
    8. Encoding — Exploring the Area Formula of a Circle with a Hundred Grid
    9. Recognition — Research Presentations and Teaching Others

    C — Context: When Abstract Concepts Are Grounded in Context

    Tile Shops and the Embodiment of Square Roots

    In teaching square roots, Arco does not begin with mathematical symbols. Instead, children first enter the context of a “tile shop.” Acting as shop owners, they use small square tiles to construct squares and explore the relationship between area and side length.

    Children first describe the structure in Chinese:

    “A square with an area of 9 has a side length of 3.”

    They then express the same idea in English:

    “The square with an area of 9 has a side length of 3.”

    Only afterward does the teacher introduce the mathematical expression:

    9=3\sqrt{9}=39​=3

    At this moment, the teacher introduces “how masters say it,” helping children discover that there exists another language called mathematical language.

    Children often react with surprise:

    “It’s so short!”
    “So powerful!”

    Mathematical symbols are no longer unfamiliar marks, but become a condensed language that captures experience and structure.

    Thus, the function of Context is to ground abstract concepts in meaningful situations before introducing symbolic representation.
    H — Home: When an Apprenticeship Environment Emerges

    Exploring Prime and Composite Numbers Together

    In a lesson on prime and composite numbers, children from first through fifth grade explored mathematical structures together. Rather than beginning with formal definitions, the teacher first presented a number, such as 13, and invited children to divide it evenly using chess pieces or grid paper.

    The children arranged the pieces into one row, then two rows, three rows, four rows, and so on, testing every possible arrangement up to 13 rows. They discovered that 13 could only be divided evenly into one row or thirteen rows; all other arrangements produced remainders. The teacher then demonstrated the number 12, showing that it could be evenly arranged into 2, 3, 4, or 6 rows.

    Only afterward did the teacher introduce the terminology:

    • Numbers that could be arranged into “rectangular boxes” were called composite numbers.
    • Numbers that could not be evenly divided except by 1 and themselves were called prime numbers.

    This lesson became a Home because it contained three essential conditions: mentor awakening, peer support, and accessible tools. The teacher guided learning through questions and awakening; children observed, imitated, and supported one another; and chess pieces and grid paper remained constantly available for repeated manipulation, revision, and verification.

    Thus, Home is not unstructured freedom, but an apprenticeship environment in which understanding is allowed to grow.

    A — Affection: When Learners Desire to Participate

    My Treasure and Classroom Shops

    In a sharing activity called My Treasure, each child brought a personally meaningful object to class. Rather than allowing free and unfocused sharing, the teacher guided children to focus on several key questions:

    • What is its name?
    • Why did you give it that name?
    • Why is it important to you?

    Because the objects genuinely mattered to the children, they prepared voluntarily and worked hard to express themselves clearly.

    The same phenomenon appeared in classroom shop activities. When children knew they would bring products, set up stores, welcome customers, and complete transactions, they usually required no reminders from teachers. They prepared on their own initiative.

    Thus, Affection is not simply about making learning “fun.” Rather, it emerges when learning becomes connected to life, and children begin to desire participation.

    R — Read Aloud: When Text Is Interpreted Through Voice

    Language Immersion and Relay Reading

    In language immersion lessons, the teacher first told a story while inviting children to enter different roles and help build the situation together. When the plot required dialogue, children naturally needed to read the lines aloud.

    The teacher transformed the story into a script and allowed children to choose roles they liked, including the narrator. Since the lines varied in length and difficulty, children could select parts that matched their abilities.

    Through relay reading, text was no longer merely a set of symbols on paper. It was interpreted through pauses, tone, rhythm, and emotion.

    Thus, Read Aloud gives text a voice. It allows children to enter understanding through sound, while also enabling them to choose roles they are able to fulfill.

    A — Awakening: When Learning Is Driven by Questions

    When Music Tiles Begin to Speak Chinese

    In a music lesson, children sang Little Chick Drinks Water. In Mandarin Chinese, when a third tone is followed by a first tone, the vocal contour often forms a fourth interval. For example:

    • xiǎo jī 小(3)雞(1) → E A
    • hē shuǐ 喝(1)水(3) → A E

    The teacher used music tiles labeled E and A. Children first recited “小雞喝水” in Chinese, and then played E A A E on the tiles.

    When they discovered that the melody produced by the tiles matched the tonal contour of the Chinese phrase, they often responded with surprise:

    “The music tiles can speak Chinese!”

    At that moment, children were not merely receiving an answer. They were suddenly seeing a structure between language and music. Awakening, therefore, becomes the ignition point of decoding.

    C — Commitment: When Content Must Be Refined to Its Essentials

    Young Anchors and Young Reporters

    At Arco, textbooks were often hidden from view. Instead, the teacher first designed an activity, sometimes even replacing the textbook with a video, so that children could enter a situation before organizing its content.

    In the Young Anchor activity, the teacher first played a video for children to watch carefully. Afterward, children identified key words and wrote them on the board.

    The teacher then guided children to reconstruct the event through those key words, form sentences together, remove unnecessary details, and preserve what was essential. Finally, each child expressed the event in their own words:

    What do I feel about this event?

    Another example is the Young Reporter activity. Before interviewing an expert, children first studied the expert’s background and identified the questions they truly wanted to ask. When facing the expert, they then verified whether their understanding was accurate.

    Thus, Commitment is not merely effort. It is the ability to identify key points, remove distractions, and gradually form one’s own viewpoint.

    T — Transfer: When Problems Can Be Represented Through Media

    Solving the Chicken-and-Rabbit Problem with Chess Pieces

    Transfer does not primarily address children’s inability to calculate. It addresses their inability to understand what an application problem is asking.

    Therefore, instead of beginning with equations, the teacher first invited children to solve the chicken-and-rabbit problem with chess pieces.

    • White pieces represented heads.
    • Black pieces represented legs.

    Children first arranged the heads, and then assigned legs to each head. Chickens had two legs, while rabbits had four. Through arranging, comparing, and verifying, children gradually understood the actual relationships within the problem.

    A problem that originally could only be “thought through” became a structure that could be manipulated. Many children who could not solve the problem mentally began to solve it once they started working with their hands.

    Thus, the core of Transfer is not simply changing the teaching method. It is transforming an abstract problem into a medium that children can see, touch, and manipulate.

    E — Encoding: When Answers Can Be Verified Through Structure

    Exploring the Area Formula of a Circle with a Hundred Grid

    When learning the area of a circle, the teacher did not begin by giving the formula. Instead, children first drew a quarter circle inside a hundred grid, and then subtracted the squares outside the curved boundary one by one.

    Gradually, children discovered:

    A quarter circle occupies approximately 78.5 squares.

    The teacher then guided them to organize the structure:

    • 10 × 10 = 100
    • 78.5% of 100 = 78.5
    • Multiplying by 4 gives the area of the whole circle.

    Through this process, children began to see that the area of a circle is related to “radius times radius.”

    Only then did the teacher introduce the mathematical master language:

    A=πr2A=\pi r^2A=πr2

    rrr

    A=πr2≈28.27A = \pi r^2 \approx 28.27A=πr2≈28.27

    C=2πr≈18.85C = 2\pi r \approx 18.85C=2πr≈18.85r = 3.00

    At this point, the formula was no longer a symbol to be memorized. It became a structure children had discovered through manipulation, approximation, and organization.
    R — Recognition: When Learning Is Presented Before Others

    Research Presentations and Turning Stories into Scripts

    At Arco, research lessons always included presentation. Children did not merely complete research; they had to stand before others and teach them.

    They needed to explain:

    • What did I not know before?
    • How did I find the answer?
    • How did I verify it?
    • Why do I believe this is true?

    True understanding is not only being able to understand something oneself, but being able to help others understand it.

    In another example, turning stories into scripts may appear to be a Read Aloud activity on the surface, but at a deeper level it is also Recognition. Children do not simply read a story; they must use roles, lines, and performance to help the audience enter the situation.

    Thus, Recognition is not merely the display of results. It is the process through which understanding becomes visible, audible, and comprehensible to others.

    Chapter 3

    Sim Life: From Refuge to Realization

    Many children do not reject learning because they lack ability. Rather, they cannot see how learning connects to life.

    When reality becomes disconnected from meaning, children often seek refuge in virtual worlds. Games provide temporary belonging, identity, missions, rewards, and emotional compensation. They offer a place where effort appears meaningful.

    Sim Life emerged from an important educational question:

    Could education provide these experiences in real life rather than only in virtual worlds?

    Instead of treating games merely as distractions, Arco began to ask what psychological and educational needs games were actually fulfilling.

    As a result, Arco gradually developed Sim Life — a life-based learning environment without screens or keyboards, where children assume roles, complete missions, participate in relationships, face consequences, accumulate experience, and pursue realization through lived situations.

    In Sim Life, learning is no longer separated from life. Mathematics becomes part of trade, construction, timing, budgeting, and verification. Language becomes part of reporting, storytelling, negotiation, and performance. Music becomes part of rhythm, cooperation, emotion, and cultural expression.

    Children gradually discover that learning is not merely preparation for life:

    learning itself becomes part of living.

    In Chinese culture, calling someone “a stone” often implies that the person is emotionally numb, unable to feel or respond deeply.

    One of the most remarkable legends in Chinese literature begins with such a stone.

    In Dream of the Red Chamber (Hong Lou Meng), a stone was once refined by great masters and became spiritually awakened. Yet it failed to fulfill its original purpose of repairing the sky, and was left unused on a barren mountain for thousands of years.

    Later, two masters encountered the stone. They gave it a name so it could be recognized, and brought it down into the human world to experience life.

    What makes the story extraordinary is that, after entering the human world and experiencing love, loss, relationships, suffering, longing, and awakening, the stone eventually wrote a book.

    That book became one of the greatest classics in Chinese literature:

    Dream of the Red Chamber.

    For Arco, this story became a powerful metaphor for education. Education is not merely the transmission of knowledge. It is the awakening of feeling. It is helping a child move from being untouched, unnamed, and unused, toward becoming someone who can feel, understand, respond, and finally tell the story of life.

    In this sense, Sim Life is a way of bringing learning “down to earth.” Children do not merely study life from a distance. They enter situations, assume roles, experience relationships, face choices, and gradually learn what it means to live.

    In Arco classrooms, a Sim Life lesson often began with one simple phrase from the teacher:

    “Sim Life.”

    Children would immediately ask:

    “What are we playing?”

    Here, “playing” did not mean entertainment alone. It meant entering a role, performing a life situation, and becoming part of a story.

    Sometimes the teacher began simply by telling a story. Without being formally assigned, children would quietly step forward and become actors, taking up roles as the story unfolded. They did not know how the story would develop, but that did not matter. They enjoyed the act of simulation itself — becoming part of the world being created.

    Context is therefore a crucial gateway in Sim Life. It may be close at hand, drawn from daily life, or it may be distant: thousands of years in the past, far away in another land, or even in a heavenly court.

    When context comes first, even ancient language becomes accessible. In some lessons, as the teacher told a story and children acted it out, idioms were thrown into the unfolding situation. Children who might not have understood those idioms in isolation could immediately point to the correct phrase from an idiom list, recognizing where it belonged in the story.

    The meaning did not begin with definition.
    It began with situation.

    The Stone: Being Named, Being Recognized

    In Chinese, when someone is described as “a stone,” it often suggests a person without feeling, someone who does not easily respond to the world.

    Yet Dream of the Red Chamber begins with a stone that gradually becomes capable of feeling.

    This stone was once refined by great masters, but because it failed to repair the sky, it was left unused on a barren mountain for thousands of years. Later, two masters encountered it. They gave it a name, so it could be recognized, and brought it down into the human world to experience life.

    This moment of naming is important.

    A nameless stone is only a stone.
    Once it is recognized, it becomes the stone—the stone with a story, a destiny, and a path into the human world.

    In this sense, even the article matters.
    Education also moves children from being one among many, unseen and unnamed, toward becoming someone recognized:

    not merely a child,
    but the child whose story, gift, and calling can be seen.

    This is why Sim Life begins with context and role.
    A child enters a story, receives a position, and begins to be recognized.
    Only then can learning move from information to experience, and from experience to realization.

    In this Sim Life mathematics lesson, Dream of the Red Chamber became the narrative thread through which children entered the concept of the number line. Rather than beginning with an abstract diagram, the lesson began with a stone.

    The stone had remained on the Great Waste Mountain for thousands of years. It had a position, a direction, a distance, and a story. As children began asking:

    • Where is the stone?
    • Where did it come from?
    • Where is it going?
    • How long has it waited?

    they were already entering the essential structure of the number line.

    At this point, the teacher gradually introduced the elements of the number line:

    • a starting point
    • a direction
    • a unit of measurement

    The number line was no longer merely a line on paper. It became a representation of position, movement, distance, and time.

    Children therefore encountered the stone through the number line, and encountered the number line through the stone. Mathematics was no longer separated from life, but became a language for understanding journeys, relationships, and existence itself.

    The figure may be introduced as follows:

    Figure 1. The Number Line as a Journey of the Stone

    The figure shows a horizontal line with three essential elements: starting point, direction, and unit. These are not introduced as abstract mathematical terms alone, but as elements of the stone’s journey.

    In the story, the stone was left on the Great Waste Mountain for thousands of years. It did not know how long it had waited. What it did know was the rhythm of each day: at sunrise, the tide rose until it was full, then slowly fell; at sunset, the tide rose again, and again slowly fell.

    This became the entrance into the mathematical idea of number lines.

    Children first observed the time line:
    from 0 to 23, hour by hour across a day.

    They then observed the tide line:
    the water level rising from 0 to 6, then falling from 6 back to 0.

    One line represented time.
    The other represented space.

    Through the stone’s long waiting, the abstract idea of a number line became visible. Time was no longer an empty sequence of numbers, and height was no longer an isolated measurement. The children could see how two number lines might meet: one moving horizontally through time, the other rising and falling vertically through space.

    At Arco, instructional units were not primarily organized as lesson plans, but as activity designs. The purpose of these designs was not simply to deliver knowledge, but to awaken situations.

    In conventional instruction, teaching often begins with concepts and explanations. In Sim Life, learning begins with context, rhythm, roles, relationships, and experience. Knowledge does not knock on the door first; the situation does.

    Children first enter a world.
    Only afterward do they begin to recognize its structures.

    Thus, an activity design is not merely a sequence of tasks. It is the design of an awakening.

    From this foundation, Sim Life gradually expanded into different professions and social roles.

    Children did not merely study occupations from textbooks. They entered situations and became participants within them. A marketplace required shopkeepers, customers, accountants, and reporters. A hospital required doctors, nurses, patients, and caregivers. A research center required investigators, presenters, and evaluators.

    Context naturally brought children into roles, and roles naturally brought them into qualifications.

    A child who wished to become a shopkeeper needed to calculate correctly.
    A child who wished to become a reporter needed to ask meaningful questions.
    A child who wished to become a researcher needed to verify evidence before presenting conclusions.

    In this way, qualifications were no longer external requirements imposed by teachers. They became meaningful abilities connected to participation and responsibility within the simulated world.

    In Sim Life, television stations and newspapers became important learning environments. These settings required children to become young anchors and young reporters — two forms of training considered essential for Arco students.

    Young anchors learned to observe events, identify key points, organize information, and communicate clearly before an audience. Young reporters learned to prepare questions, interview experts, verify understanding, and reconstruct meaning through dialogue.

    These activities also cultivated the ability of Commitment within the CHARACTER decoding system: the ability to distinguish essentials from distractions. Children learned to identify what truly mattered, remove unnecessary details, and gradually form their own viewpoints.

    Thus, media roles in Sim Life were not extracurricular activities. They were part of the core training through which children learned how to observe, interpret, organize, and express the world around them.

    Beyond media roles, Sim Life designed many professions according to the abilities required in different intelligence domains.

    An architect needed to see the structure within a drawing.
    A musician needed to hear the rise and fall of spoken language.
    A comforter needed to listen actively, ask meaningful questions, and help the speaker untie emotional knots.
    A politician needed to recognize responsibility, judge situations, and make decisions.

    Most Sim Life activities were designed from mathematics curriculum indicators. Different professions were created so that children could enter real-world roles and solve problems through different media.

    In this way, ability was no longer an abstract requirement. It became a qualification for participation.

    These five mathematical laws became foundational structures within Arco’s Sim Life mathematics curriculum.

    The Identity Law helped children recognize that quantity and structure may remain the same even when objects change position or arrangement. Through moving blocks, beads, or patterns, children gradually sensed:

    “The outside changed, but the quantity stayed the same.”

    The Zero Law helped children understand that emptiness is also part of structure. When all objects disappeared, children began to recognize that “nothing” was not chaos, but a return to zero.

    The Commutative Law allowed children to experience how rearranging order could make structures easier to process. By reorganizing cards and regrouping quantities, children discovered that changing sequence could simplify thinking without changing results.

    The Associative Law further developed regrouping. Children learned to reorganize quantities into more manageable structures, often combining numbers that formed ten first. They began to feel that structure could be redesigned to support understanding.

    For children, the distributive law was often experienced not as an abstract algebraic principle, but as the familiar act of making change.

    When solving:

    99×7=7×(100−1)=700−7=69399\times7=7\times(100-1)=700-7=69399×7=7×(100−1)=700−7=693

    children could immediately “see through” the structure because it resembled the logic of cashiers repeatedly giving change in Sim Life shops. Instead of calculating 99 directly, they naturally decomposed it into “100 minus 1,” then redistributed the operation.

    Because of Sim Life, mathematics lessons at Arco could extend far beyond conventional textbook exercises.

    In one activity, children running a fruit shop needed to record orders containing twenty different items. Using four rhythmic cards, children created different fruits through rhythm patterns, allowing them to experience how information and quantities could be recorded symbolically.

    In another activity, young accountants needed to calculate the total of twenty transactions, even though they had not yet formally learned arithmetic notation. Each child received twenty playing cards along with ten-unit coins. Rather than writing equations directly, children searched for “friends of ten” — combinations that could form ten as a unit.

    Gradually, children began reorganizing quantities into groups of ten in order to simplify calculation. Long before formal arithmetic expressions were introduced, they were already experiencing grouping, place value, and structural reorganization through meaningful activity.

    Interestingly, children often preferred activities involving many items rather than fewer ones. The increasing mathematical complexity did not discourage them; instead, it fascinated them.

    As the number of transactions grew, children became increasingly absorbed in discovering patterns, reorganizing quantities, and finding more efficient structures. The depth of the mathematics itself became engaging.

    Rather than experiencing mathematics as repetitive drill, children experienced it as the pleasure of seeing through complexity.

    At Arco, mathematics was understood as a language that allows human beings to communicate precisely with nature.

    Sim Life therefore required children to use their own measuring tools to investigate the environment and discover where mathematics existed within lived reality.

    When planning vegetable gardens, for example, children used ropes to divide planting areas into sections. They were not allowed to label plots with names. Instead, they needed to identify locations mathematically.

    As children attempted to describe positions precisely, coordinate systems emerged naturally. Mathematics was no longer introduced first as symbolic abstraction, but as a necessary language for identifying, measuring, organizing, and communicating the world around them.

    At Arco, mathematics always required verification. Answers were not considered complete until children could confirm them through another representation or structure.

    For example, an arithmetic expression such as:

    4×2=84\times2=84×2=8

    was not verified only numerically. Children were also asked to verify it geometrically by constructing the relationship on a hundred grid or with square units.

    Similarly, inequalities involving square roots were explored visually and spatially. For example:

    5>2\sqrt{5}>25​>2

    Children verified the relationship through chessboards or square constructions, discovering that a square with area 5 must have a side length slightly greater than 2.

    Thus, mathematical understanding did not remain within symbolic manipulation alone. Different representations — numerical, geometric, spatial, and embodied — were used to verify one another. Verification therefore became part of the culture of mathematical thinking rather than merely the checking of answers.

  • 孩子怎樣才學得會?
    需要 MINE:Multiple Intelligence Niche Exploration。MINE 是多元智能課程交融,給孩子一個智能舞台。透過 character,智能不再只是科目分類,而是孩子進入學習、理解世界的入口。這是 decoding。

    孩子怎樣才願意學?
    需要 PLUS:Personal Learning Unfolding System。
    PLUS 是個別學習花繖綻放,給孩子一個生命舞台。
    透過 Sim Life,教育不再只是知識注入,而是生命的實現。
    這是 realizing。

    因此,整個發展路徑是:

    CAI → CLE → Sim Life
    電腦輔助教學 → 電腦學習環境 → 沒有螢幕的電腦學習環境

    也就是:

    從按鍵答題,到情境探索;
    從螢幕寄託,到生命實現。

    MINE:多元智能入口探索

    Multiple Intelligence Niche Exploration

    孩子怎樣才學得會?
    這是 MINE 要回答的問題。

    MINE 不是用多元智能替孩子分類,而是探索孩子進入學習的入口。它不問:「這個孩子是哪一型?」而是問:「從哪一個入口,這個孩子可以開始理解?」

    因此,MINE 是一個智能舞台。在這個舞台上,語文、數學、音樂、肢體、空間、人際、內省與自然觀察,都不只是科目或能力分類,而是孩子解碼世界的不同入口。

    抽象概念若只停留在符號、定義與標準答案裡,許多孩子就會被擋在門外。MINE 讓概念可以被唱出來、演出來、畫出來、走出來、操作出來,也可以被說給別人聽。孩子先用自己懂的語言靠近概念,再慢慢進入更精確、更正式的語言。

    因此,MINE 的核心不是分類,而是交融;不是貼標籤,而是找入口。當孩子找到入口,抽象知識就開始下凡,理解就開始發生。

    一句話來說:

    MINE turns multiple intelligences into gateways for decoding the world.
    MINE 使多元智能成為孩子解碼世界的入口。

    PLUS:個別學習花繖綻放

    Personal Learning Unfolding System

    PLUS 回答的是:孩子怎樣才願意學?

    有些孩子不是學不會,而是不知道為何要學;不是沒有能力,而是找不到自己的立足點。他沒有被安放在一個能參與、被需要、被看見的環境裡,因此感覺自己 not included。

    PLUS 要建立的,不只是個別化學習,而是一個能承接差異的生命生態。
    它像一把花繖,讓不同的孩子在同一個空間裡,以不同方式展開。

    在 PLUS 裡,差異不是問題,而是生態的養分。

    它接納不同程度:
    有些孩子已經能獨立完成,有些孩子還需要陪伴;有些孩子走得快,有些孩子需要多一點時間。學習不是用同一把尺量所有人,而是讓每個孩子都能在自己的起點上往前。

    它允許不同入口:
    有人透過積木理解結構,有人透過棋子理解關係;有人從音樂進入數學,有人從故事進入語文。孩子不是被迫走同一扇門,而是被幫助找到自己的入口。

    它安排不同年齡的互補:
    大的孩子可以照顧小的,小的孩子也能喚醒大的責任感。混齡不是管理上的困難,而是一種生命彼此托住的結構。

    它容納不同學科的共存:
    同一個學習場域裡,可以有人練琴,有人寫作,有人研究,有人操作工具。學習不必被切成一格一格的科目,而可以像生活一樣同時發生、彼此交融。

    它也提供不同角色的扮演:
    有人是安慰者,有人是傾訴者;有人是研究員,有人是小主播;有人負責照顧,有人負責記錄。孩子在角色中發現自己被需要,也在任務中學習承擔。

    因此,PLUS 不是把孩子單獨抽出來補救,而是重新設計一個能讓不同生命共存、互補、展開的環境。
    當孩子被接納、被安放、被需要,他就不只是「被要求學」,而開始「願意學」。

    一句話來說:

    PLUS is a life stage where differences are not problems to be fixed, but possibilities to be unfolded.
    PLUS 是一個生命舞台,使差異不再是需要修理的問題,而是可以綻放的可能。
    Sim Life:where decoding becomes realizing

    模擬人生:解碼走向實現的生態系統

    如果說,MINE 回答的是「孩子如何學得會」,
    那麼它的核心就是 decoding:
    幫助孩子找到入口,用自己懂的語言理解世界。

    如果說,PLUS 回答的是「孩子如何願意學」,
    那麼它的核心就是 ecosystem:
    建立一個能接納差異、安放生命、喚醒參與的學習生態。

    而 Sim Life,就是兩者交會的地方。

    Sim Life is the ecosystem where decoding becomes realizing.
    模擬人生,是解碼走向實現的生態系統。

    在 Sim Life 中,孩子不是只理解知識,而是把理解放進角色、任務、關係與責任之中。
    知識不再只是被記住,而是被使用;
    能力不再只是被測驗,而是被承擔;
    品格不再只是被教導,而是在抉擇中被活出。

    因此,Sim Life 不是遊戲化學習。
    它不是把獎章、分數、升級放進課程裡,讓孩子更願意配合。
    它更像是一個沒有螢幕、不必按鍵的電腦學習環境:
    孩子進入情境,承接角色,完成任務,使用工具,接受驗證,站上舞台。

    在這個過程中,decoding 不再只是理解世界,
    而開始走向 realizing:
    讓孩子把所學變成生命中的智慧,
    知道如何面對抉擇,
    如何度過危機,
    如何承擔責任,
    如何在真實關係中活出優雅與喜樂。

    一句話來說:

    MINE opens the gateways for decoding.
    PLUS builds the ecosystem for belonging.
    Sim Life turns learning into realization.
    CHARACTER:九個解碼條件

    Nine Conditions for Decoding

    C — Context|情境

    抽象概念需要故事與情境可以落腳。
    有了情境,知識才不只是符號,而能進入孩子的生活經驗。

    H — Home|學徒制環境

    理解需要一個像家的學徒制環境,包含三個條件:
    mentor awakening、peer support、accessible tools。
    師傅喚醒,同儕支持,工具隨手可得,孩子才能在操作與陪伴中長出能力。

    A — Affection|熱情

    孩子需要被情感喚起,願意成為任務中的主角。
    當孩子在乎,學習才會開始發亮。

    R — Read Aloud|朗讀

    Read Aloud 特別適用於語文智能融入音樂智能。
    在朗讀與演戲中,孩子自然學會調整聲音,讓文字有呼吸、有節奏、有活力。

    A — Awakening|喚醒

    教育不是灌輸,而是喚醒。
    老師要會問問題,引出孩子一步一步觀察、推論、驗證,向前探索。

    C — Commitment|委身/守住本色

    Commitment 是孩子在理解中學會取捨。
    他要能抓重點,知道什麼最重要;也要能刪枝節,知道什麼可以放下。
    當孩子知道自己要什麼,也知道不要什麼,他就開始守住方向,活出本色。

    T — Transfer|轉換

    孩子需要把抽象問題轉換成可感知的畫面、操作與語言。
    Transfer 不只是畫面化,也包括換語言:從生活語言,到操作語言,再走向正式符號。

    E — Encoding|記錄

    理解需要被整理與編碼。
    教師要善用媒介與工具,幫助孩子在操作中發現架構,使想法能被記錄、表達,並逐步走向大師的語言。

    R — Recognition|舞台

    學習需要被看見。
    當孩子能分享、發表、教別人時,他會重新整理自己的理解,也在舞台中學會看見別人。

    一句話:
    CHARACTER 是一組讓 decoding 發生的條件;當孩子找到入口、形成理解、守住本色,學習就開始走向生命。

    Sim Life:模擬人生的架構

    Sim Life: The Ecosystem Where Decoding Becomes Realizing

    如果說,MINE 建立的是 decoding 的入口與條件,PLUS 建立的是承接差異、安放生命的 ecosystem,那麼 Sim Life 就是兩者交會的地方。

    Sim Life is the ecosystem where decoding becomes realizing.
    模擬人生,是解碼走向實現的生態系統。

    Sim Life 不是遊戲化學習,也不是把課程包裝成活動。它更像是一個沒有螢幕、不必按鍵的電腦學習環境。孩子不是在虛擬世界中尋找暫時的寄託,而是在真實情境中承接角色、完成任務、使用工具、通過驗證,並站上舞台。

    在 Sim Life 中,孩子不只是理解知識,而是把理解放進角色、關係、責任與抉擇之中。知識不再只是被記住,而是被使用;能力不再只是被測驗,而是被承擔;品格不再只是被教導,而是在生活情境中被活出。

    Sim Life 讓孩子對時間、空間與人間有感覺。

    時間,讓孩子學會等待、累積與預備。經驗值需要慢慢累積,能力需要長期練習,家庭與財富也需要時間經營。孩子開始理解:真正重要的事,需要時間醞釀與守候。

    空間,讓孩子學會活在結構之中。家庭、社區、店鋪、學校與社會,都是孩子可以進入的生活場域;資源如何分配、工具如何使用、財產如何經營,也都在空間中被學會。

    人間,讓孩子學會與人共同生活。他們從認識自己開始,在不同角色中學習彼此需要;也在合作、衝突、支持、安慰、責任與承擔中,逐漸理解人與人之間如何建立信任、關係與共同生活的秩序。

    其中,「資格」是人間的重要部分。孩子需要守住標準、通過驗證,才能取得他人的信任與託付。資格不只是能力證明,也與 identity 有關:我是怎樣的人?我是否能承擔這個角色?別人是否能信任我?

    因此,在 Sim Life 中,自由不是沒有標準,而是有能力承擔標準之後所獲得的信任。

    Sim Life 是雅歌數學「下凡」的舞台,幫助孩子透過數學理解生命的結構。

    加,是家庭與歸屬。
    孩子學習如何經營一個家,如何形成歸屬感、互助與扶持,也理解收入的來源。其中最重要的,是守護「傳家寶」——那些值得被留下、被傳承的價值、品格、文化與愛。

    減,是檢視與危機。
    孩子學習認識工作的資格與標準,檢視能力,驗證效能,也理解生存中的消費、成本與風險。危機不是被避開,而是被看見;孩子在其中學習預備與負責。

    乘,是承擔與成長。
    孩子透過任務培養能力,照顧家人,參與社會,累積經驗值。在 Sim Life 中,經驗值不是裝飾性的分數,而是能力被看見的紀錄;當經驗值累積到一定門檻,薪水就會加倍。孩子因此看見:能力的成長不只是慢慢增加,也可能在承擔中產生倍數效應,改變自己在家庭與社會中的位置。

    除,是儲蓄與優雅。
    孩子學習節流與儲蓄,建立人脈,也學習在無常中數算恩典,在苦難中活出優雅。置產不只是財務概念,更是對未來的預備。

    因此,Sim Life 不只是課程設計,而是一種生命預演。孩子在其中不只學會知識,也學會如何成為一個人;不只學會成功,也學會在危機與恩典中,活出有方向、有本色、有盼望的生命。

    The LIVING Framework

    LIVING:Learning Toward Living 的學習架構

    Sim Life 並不是一系列零散活動的集合。
    它背後有一個完整的學習架構,我稱之為 LIVING Framework。

    LIVING 不只是學習方法,更是一種從 learning toward living 出發的教育觀。
    它關心的,不只是孩子學到了什麼,而是孩子是否能把所學活進生命。

    L — Landing|下凡

    抽象概念需要落進生活情境。
    家庭、工作、金錢、危機、人際、恩典與責任,都成為知識可以落腳的地方。
    Landing 讓知識不再漂浮,而開始與真實人生連結。

    I — Identity|角色與身分

    孩子不是旁觀者,而是角色中的人。
    他們可能是研究員、小主播、店長、照顧者、行政者或家庭成員。

    在角色中,孩子不只學習能力,也開始思考:
    我是誰?
    我能承擔什麼?
    我希望成為怎樣的人?

    V — Verification|驗證

    Sim Life 強調資格、標準與驗證。
    孩子需要學會檢視能力、驗證效能,也需要透過實作取得他人的信任。

    Verification 不只是考試,而是:
    我如何知道自己真的會?
    我是否能被信任地承擔這個角色?

    I — Investment|投資與累積

    生命需要長期累積。
    在 Sim Life 中,孩子學習:上課也是一種儲蓄。
    除了金錢、置產與經驗值的累積,他們也學習把時間、能力、習慣與努力慢慢存進未來。

    Investment 幫助孩子理解:
    真正重要的東西,很少是立刻得到的。

    N — Network|共同體與連結

    學習不是孤單完成的。
    家庭、同儕、老師、團隊與社群,都形成支持孩子成長的 network。

    在 Sim Life 中,孩子學習如何合作、互助、建立人脈,也學習在共同體中承擔責任。孩子也慢慢明白:每一個接觸過的人,都可能有一天成為自己的推薦信;因此,人際關係不是工具,而是生命品質、品格與信任的累積。

    G — Grace|恩典

    生命並不只是努力與競爭。
    孩子會經歷失敗、限制、危機與無常,也會在過程中經歷被幫助、被接住與彼此扶持。

    Grace 讓孩子明白:
    人生不只是追求成功,而是在無常中數算恩典,在苦難中活出優雅。

    因此,LIVING 不只是學習架構,而是一種生命觀。
    它讓教育不再只是 preparing for tests,而是 preparing for life。

    一句話來說:

    LIVING transforms learning into a journey toward becoming fully alive.
    LIVING 使學習成為走向真實生命的旅程。

    CHARACTER:Decoding Ecosystem 的九個條件

    Nine Conditions of the Decoding Ecosystem

    需要特別說明的是,CHARACTER 並不是要求每一堂課都同時包含九個條件。

    不同課程會有不同重心:

    • 有些課特別強調 Context 與 Transfer
    • 有些課特別強調 Read Aloud 與 Recognition
    • 有些課則特別強調 Affection、Home 或 Awakening

    然而,當這些條件長期存在於同一個 learning ecosystem 中,孩子便會逐漸形成 decoding 的能力。

    因此,CHARACTER 比較像是一個 ecosystem,而不是一張 checklist。


    C — Context|情境

    磁磚店與開根號下凡

    Context 要解決的,是抽象概念沒有落腳點。

    因此,在雅歌,老師不會一開始就寫:

    9=3\sqrt{9}=39​=3

    而是先讓孩子進入「磁磚店」的情境。孩子成為磁磚店老闆,需要替客人拼出正方形磁磚。

    孩子透過操作開始發現:

    面積不同,邊長也不同。

    接著,老師開始引導孩子用不同語言描述同一個結構。

    先用中文說:

    面積是 9 的正方形,邊長是 3。

    再用英文說:

    The square with an area of 9 has a side length of 3.

    最後,老師才慢慢整理成數學大師的語言:

    9=3\sqrt{9}=39​=3

    這時候,根號不再只是抽象符號,而是孩子已經用:

    • 中文
    • 英文
    • 數學語言

    共同描述過的結構。

    因此,Context 的目的,不是把數學變簡單,而是讓抽象概念下凡,讓孩子先透過自己懂的語言進入結構,再慢慢走向大師的語言。

    H — Home|學徒制環境

    質數與合數的共同探索

    Home 並不只是溫暖氣氛,而是一種 apprenticeship environment。它包含三個條件:

    • mentor awakening:師傅喚醒
    • peer support:同儕支持
    • accessible tools:工具隨手可得

    在「質數與合數」課中,小一到小五的孩子一起探索。孩子用棋子與方格紙,一列一列測試數字能否平分。

    老師沒有先給定義,而是讓孩子操作:
    先排成一列,再排成兩列、三列、四列……看看哪些數可以平分,哪些數總是有餘數。

    大的孩子會嘗試建立系統,小的孩子會觀察與模仿;老師則在旁邊提問、示範、陪伴與喚醒。工具就在孩子手上,他們可以不斷操作、修改、重來與驗證。

    孩子慢慢發現:
    有些數可以被整齊分成方盒子,這就是「合數」;
    有些數除了 1 和自己以外,怎麼分都分不掉,這就是「質數」。

    因此,Home 不是自由放任,而是一個讓理解可以自然生長的環境。
    即使是正式數學課,只要具備師傅喚醒、同儕支持與工具隨手可得,也能形成真正的解碼生態。

    A — Affection|熱情與在乎

    我的寶貝與開商店

    Affection 並不只是把課變得有趣,而是讓孩子開始在乎。

    在「我的寶貝」分享中,每個孩子帶來自己最珍惜的物品,向大家介紹。老師指定幾個抓重點的問題:

    • 它叫什麼名字?
    • 為什麼取這個名字?
    • 我對它做了什麼?
    • 它對我有什麼重要?

    因為那是孩子真正在乎的東西,孩子會很想上這堂課,也會認真準備。語文表達不再只是作文訓練,而是孩子想把心裡珍貴的東西說清楚。

    開商店也是如此。當孩子知道自己要帶商品、擺攤、招呼客人、完成交易,通常不需要老師一再提醒。因為這不是外加的功課,而是孩子期待參與的生命情境。

    有時候,即使是數學、研究、音樂或寫作,當孩子真正進入探索,也會捨不得下課。

    因此,Affection 的核心不是娛樂,而是:

    當孩子在乎,學習就開始自己往前走。

    R — Read Aloud|朗讀

    語文浸潤與朗讀接力

    在雅歌,Read Aloud 不只是朗讀技巧,而是一種語文浸潤。

    老師先講故事,一邊邀請孩子進來擔任角色,讓孩子一起鋪出情境。此時,因為劇情需要,孩子要把台詞朗讀出來;老師便帶領孩子透過聲音,讓文字活起來。

    雅歌的語文浸潤,經常以「朗讀接力」的方式出現。老師將故事化為劇本,讓不同角色分配台詞;沒有特定角色的孩子,也可以擔任旁白。

    因為台詞有長有短、角色有難有易,孩子可以選擇適合自己的角色:有人會挑戰較複雜的台詞,也有人會特別選最簡單的部分。最後,每個人都有角色,各得其份。

    這樣的設計,一方面發揮朗讀的功能,讓文字透過聲音、角色與情境被理解;另一方面也照顧到不同程度的孩子,使每個人都能參與故事、進入語文。


    A — Awakening|喚醒

    當音磚開始說中文

    Awakening 是 decoding ecosystem 的點火點。

    孩子並不是因為被要求而真正開始學習,而是因為某一刻,他突然「看見了什麼」。

    例如在音樂課中,孩子唱〈小雞喝水〉:

    • 小(3)雞(1) → E A
    • 喝(1)水(3) → A E

    中文第三聲接第一聲時,語音自然形成四度音程。老師用寫著 E、A 的音磚,讓孩子先用中文念:

    小雞喝水

    接著再敲出:

    E A A E

    當孩子突然發現:

    「音磚竟然會說中文!」

    眼睛常會突然發亮。

    那一刻,孩子不只是學到音名,而是突然看見:

    原來不同語言之間,存在著可以被發現的結構。

    因此,Awakening 不只是得到答案,而是好奇心被點燃。沒有 awakening,decoding 不會真正開始;沒有 awakening,affection 也不會真正被點燃。

    所以我一直很喜歡葉慈(Yeats)那句話:

    “Education is not the filling of a pail, but the lighting of a fire.”

    教育不是灌滿一個桶子,而是點燃一把火。

    C — Commitment|抓重點與形成觀點

    小主播與小記者

    Commitment 在雅歌,不只是「堅持完成」,而是學會在大量資訊中抓住真正重要的東西。

    在「小主播」活動中,老師先播放一段影片,讓孩子完整觀看。之後,老師不急著解釋,而是邀請孩子先抓出「關鍵詞」,並把關鍵詞寫在黑板上。

    這是一種抓重點的練習。

    接著,老師再帶孩子用關鍵詞一起造句,把劇情重新整理出來。孩子慢慢發現:並不是所有細節都需要留下,而是需要刪除枝節,保留真正重要的結構。

    最後,孩子要用自己的話結束:

    我對這件事有什麼感覺?

    這一步,開始進入內化。孩子不只是重述內容,而是把事件轉化成自己的理解。

    另一個例子是「小記者」。

    老師帶孩子訪問專家,但在訪問之前,孩子需要先準備問題。因此,他們必須先了解大師的背景,找到自己真正想問的問題。

    當孩子與大師面對面時,其實正在驗證:

    我原來的理解對不對?
    我真正想知道的是什麼?

    因此,Commitment 不只是努力,而是學會:

    • 抓重點
    • 刪枝節
    • 找到自己的問題
    • 形成自己的觀點

    當孩子開始知道自己真正想追求什麼,他就不再只是接受資訊,而開始慢慢形成自己的本色。

    T — Transfer|轉換

    用棋子解雞兔同籠

    Transfer 要解決的,不是孩子不會算,而是孩子看不懂應用問題。

    許多孩子面對文字題時,常被要求「想一想」,但他其實沒有可以想的畫面。因此,Transfer 的關鍵,不是叫孩子用腦硬想,而是把應用問題轉成孩子看得見、摸得到、能操作的媒材。

    以「雞兔同籠」為例,孩子若直接面對文字題,很容易卡住:有幾個頭?有幾隻腳?雞幾隻?兔幾隻?這些關係在文字裡纏在一起,孩子不容易看見結構。

    因此,老師先不急著列式,而是給孩子棋子。

    • 白棋代表頭
    • 黑棋代表腳

    孩子先把頭排出來,再替每一個頭分配腳。雞有兩隻腳,兔有四隻腳;孩子在操作中慢慢看見:

    每一個頭都要有腳,
    腳的總數也必須剛好符合題目。

    一旦開始動手,問題就不再只是文字,而成為可以排列、比較、移動、驗證的結構。原本「想不出來」的孩子,透過棋子操作就能開始解題。

    因此,Transfer 的核心是:

    不只是用想的解題,
    而是用媒材把題目操作出來。

    E — Encoding|編碼與發現結構

    用百宮格發現圓面積公式

    Encoding 不只是記錄,而是老師有意識地設計情境,讓孩子在操作中「剛好」發現結構。

    在學習圓面積時,老師不是直接告訴孩子:

    A=πr2A=\pi r^2A=πr2

    而是先讓孩子操作百宮格。

    孩子在 10×10 的百宮格中畫出 1/4 圓,再開始一格一格檢查,把圓周外的格子慢慢扣掉。隨著愈來愈接近真實面積,孩子逐漸發現:

    這個 1/4 圓,大約佔了 78.5 格。

    接著,老師再引導孩子重新整理:

    • 10×10 = 100
    • 100 的 78.5% = 78.5
    • 因為剛才只畫了 1/4 圓,所以還要再乘以 4

    孩子開始發現:

    面積其實和「半徑乘以半徑」有關。

    最後,老師才慢慢把孩子已經操作過的結構,整理成數學大師的語言:

    A=πr2A=\pi r^2A=πr2

    這時候,公式不再只是需要背誦的符號,而是孩子親手檢查、估算、扣除、整理後所發現的結構。

    因此,Encoding 不只是把答案寫下來,而是老師設計一個情境,讓孩子在操作中「剛好」發現數學的規律。

    R — Recognition|被看見

    研究課發表與化故事為劇本

    Recognition 不只是成果展示,而是讓理解真正被別人聽懂。

    在雅歌,研究課一定包含「發表」。孩子不只是完成研究,而是需要站上舞台,把別人教會。

    他需要說清楚:

    • 我原來不知道什麼?
    • 我怎麼找到答案?
    • 我如何驗證?
    • 為什麼我相信這是真的?

    真正的理解,不只是自己懂,而是能讓別人也懂。當孩子開始教別人時,他會重新整理自己的語言、結構與邏輯;當別人聽不懂時,他也必須重新調整自己的表達。

    因此,Recognition 不只是被看見,而是:

    讓自己的理解,能進入別人的生命。

    另一方面,「化故事為劇本」雖然表面上是 Read Aloud,更深層卻也是 Recognition。孩子不只是自己讀懂故事,而是需要把故事演到別人也看得懂。

    當孩子開始分配角色、朗讀台詞、安排情境時,他其實正在重新整理:

    • 哪些情節最重要?
    • 角色現在是什麼心情?
    • 怎樣演,觀眾才聽得懂?

    因此:

    Read Aloud 讓文字有聲音;
    Recognition 讓理解有觀眾。

    當孩子能讓觀眾進入故事、理解角色、感受到情緒時,理解才真正被完成。

  • Sim Life as a Decoding Ecosystem

    現代教育常聚焦於表現、資訊傳遞與可量化成果,然而孩子真正需要的,不只是更多資訊,而是進入理解的路徑,以及逐漸長成成熟生命的機會。

    本架構提出三個層次:

    • Decoding System:說明理解如何可能發生。
    • Sim Life / Decoding Ecosystem:建立一個讓理解真正發生的學習生態。
    • LIVING Framework:描述教育最終希望孩子活出的生命樣貌。

    雅歌給孩子兩個舞台

    1. MINE

    Multiple Intelligence Niche Exploration

    (多元智能礦脈探索)

    MINE 是智能舞台,目的在於:

    讓孩子學得會。

    透過不同智能作為入口,讓抽象概念下凡,使理解真正發生。

    孩子不是只有一條學習道路,而是在不同智能交融中,逐漸找到自己進入理解的路徑。

    MINE 的核心,在於 decoding:

    幫助孩子看懂世界、翻譯世界,並進入不同文明與專業的語言系統。


    2. PLUS

    Personal Learning Unfolding System

    (個人學習綻放系統)

    PLUS 是生命舞台,目的在於:

    讓孩子願意學。

    透過觀察不同孩子的需要,建立支持性的學習共同體,使生命自然流露。

    PLUS 重視:

    • 個別差異
    • 歸屬感
    • 被看見
    • 被理解
    • 被支持
    • 共學文化

    讓每個孩子都能在共同體中逐步展開自己的生命。

    PLUS 的核心,在於 ecosystem:

    建立一個讓生命願意學習、願意成長、願意綻放的生態環境。


    Sim Life:模擬人生

    模擬人生(Sim Life)不是遊戲化教學,而是一個解碼生態系統。

    它透過:

    • 情境
    • 角色
    • 資格
    • 任務
    • 工具
    • 驗證
    • 發表
    • 危機
    • 恩典
    • 共學

    一步一步搭起理解的梯子。

    模擬人生中的每一個活動,都是一層一層的梯子;這個生態系統的目的,是讓學習真正發生。

    而這些梯子的終點,不只是學科表現,而是:

    LIVING

    也就是:

    讓孩子在學習中預演人生,
    發展出會想、會要、能守的品格。


    LIVING Framework

    L — Landing

    讓概念下凡。
    角色出現,資格具體,任務落地。


    I — Identity

    認識自己,也認識自己在生命共同體中的位置、責任與使命。


    V — Verification

    學會檢視、驗證、推論、證明與修正。
    孩子開始問:

    我怎麼知道?


    I — Investment

    學會投資人生,包括:

    • 知識
    • 能力
    • 經驗
    • 儲蓄
    • 人脈
    • 長期預備

    N — Network

    建立生命共同體。
    讓孩子對「人」有感覺,知道:

    不要小看自己或別人。

    每個人都可能在不同時刻,成為未來的重要同行者。


    G — Grace

    透過危機與恩典,讓孩子體會生命中的無常、悲憫、警醒、感恩與珍惜。

    當危機來自天災,孩子學習悲憫。
    當危機來自人禍,孩子學習警醒與修正。

    透過恩典,孩子明白:
    有些機會是平白得來,因此要懂得珍惜;也願意相信積善之家必有餘慶,勿因善小而不為。

    最終,孩子逐漸學會:

    在悲歡離合中,
    活出優雅。

  • 孫德珍 1/11/2012

    今天早上一上車,幾隻小貓頭鷹一齊向我說:「Guten Tag,貓頭鷹媽媽!」

    我嚇了一跳,也很開心。

    孩子們想要挑戰進入油桐班,這幾天搭校車的秩序,很明顯有了改變。昨天我特地讚美詠忻,因為她說話變得很溫柔,這件事讓我刮目相看。

    很多小朋友都想申請油桐班。振韋特別問我,要怎樣挑戰?

    有一個孩子非常想挑戰,可是爸爸不要他挑戰,因為有人說,要進油桐班必須有巨額捐款。

    我告訴孩子:「要申請的學生必須通過挑戰,而且家長也必須同意接受課程的彈性,陪伴孩子成長、寫分享。家長不一定是贊助人,也不是用捐款讓孩子進入這個實驗。」

    雅歌有「模擬人生」。為了讓孩子體驗,不同的心態學習會帶來什麼改變,我準備推動這個計畫,讓學生挑戰,也徵求贊助人。

    所有的孩子都可以挑戰;每一位贊助人出現,就有一位通過挑戰的孩子可以立約,成為油桐班的學生。

    由於雅歌當時還沒有辦法找到很多外來的贊助人,我們讓家長也可以成為贊助人。因為家長已經替孩子繳了學費,所以雅歌的「贊助人」負擔的不是學費,而是能力所及的人力、物力、財力。

    這個課程要更個別化,要照顧到不同程度、不同學習風格的孩子;有些家長不一定願意冒險,所以我們不能全校全面實施,必須讓家長和孩子選擇要不要參與,並且對自己的選擇願意付出代價。

    孩子們聽懂了。

    第一節課,我到山泉班,為他們說明:油桐班要做行動學堂的實驗,所以我要先確認,多少人可以讓我放心帶出門學習。

    首先,我挑戰他們「專注、不分心」。

    我說:「專注就是集中精神在你的目標,不讓它斷掉。」

    我試著引誘他們看別的地方,他們很努力地保持不動,聚精會神地看著我。

    這時候,庭葦開始製造聲音,引人注意。

    我說:「不分心,就是不受影響!」

    大家都沒有告狀,也沒有抱怨為什麼他可以不一樣。我在百宮格上,用圍棋為每位孩子加分。

    第二個任務,我挑戰他們「聆聽、抓重點」。

    我的指令是:從座位區外圍,安靜地走到門口,摸一下門把,再走回來;如果碰撞到人或物,就失敗。

    這個任務大家都完成了,包括庭葦。

    我告訴孩子,他們剛才非常棒,完成了很高難度的挑戰,包括:專注、不分心、聆聽、抓重點,而且成功了。

    我在白板上寫下:

    數學課、貓頭鷹媽媽、挑戰、專注、不分心、聆聽、抓重點、成功。

    我要孩子們以今天的課程內容,寫一篇分享。

    我示範用手在空中打字:

    「今天數學課的時候,貓頭鷹媽媽挑戰我們專注、不分心。她要我們聆聽、抓重點。我們聽她的重點,走到門口摸門把,再安靜走回來。每個人都成功地完成挑戰。」

    我講完了,讓每個人試著出來也講一遍。孩子們看著白板上的重點,很流暢地復述了這段話。

    一一通過後,我讓他們在挑戰表上填上分數。他們看得出自己得分的部分是:專注、不分心、聆聽、抓重點、準時開始、及時完成、與自己和諧,以及秩序,所以都獲得五分。

    這樣的競爭,每個人都可以得分。

    不少山泉班的孩子覺得,他們可以繼續挑戰。

    說好第二堂要上彩虹班的品格課,振韋跑來拉著我的手進入教室。全班都在等待,看來彩虹班很想把他們班直接變成油桐班,我也這麼想。

    我請他們說說看,油桐班有什麼不同,為什麼想挑戰?

    孩子們七嘴八舌,卻無法拼湊出一個完整的畫面。

    我告訴他們,雅歌以前的課程很好玩,老師常常帶著孩子到不同地方上課。我希望現在的小朋友也可以這樣,但目前還不能這樣做,因為我還不放心,家長也不放心。

    我問他們:「我們是就這樣放棄,還是等到所有人都可以再做?」

    他們希望,通過挑戰的人可以先開始做。

    孩子們專心地聽著,一整堂課的挑戰,教室裡秩序井然。

    我再帶他們試著走出教室,觀察他們會不會讓我擔心:

    會不會干擾到旁人?
    會不會分心,到處摸摸?
    會不會撞到東西?
    會不會隊伍脫開?

    我們走到沙發區,我挑戰他們:「如果全部人都要坐下來,可是只有兩張沙發,怎麼辦?會不會有爭執?」

    他們很快地把沒有座位的人安頓好,一片融融。

    我再挑戰他們到圖書區:「每個人都要有書,椅子不夠,但每個人都要坐下來,會不會吵到人?」

    他們解決了問題,很安靜地看書,也保持愉悅的心情,讓我很感動。

    回到教室,我帶著他們用山泉班同樣的方式寫分享。孩子們愉快地完成,並且告訴我,以後寫分享會很快,也很快樂。

    今天,貓頭鷹媽媽和小貓頭鷹有了很多對話。

    我看到他們渴望變成油桐花。

    我知道,他們會變成那樣,只要我們願意相信,願意去陪。

    而環境,就是大人的心態與榜樣。

    ——

    詩羽掠影

    〈鳥語花香〉裡,有一種很雅歌的世界觀。

    油桐花,是雅歌的花。

    每到春天,花開時總像雪一樣靜靜落下,不喧嘩,不爭奪,卻默默鋪滿整條山路。它很像那些一直在背後支持孩子的大人——家長、贊助人、陪伴者。他們不一定站在台前,卻願意用自己的時間、人力、物力與愛,成為孩子生命底下柔軟的土壤。

    而五色鳥,是雅歌的鳥。

    牠的聲音清亮,羽毛鮮豔,總在樹林裡真誠地回應世界。它像雅歌的老師,願意看見孩子的亮點,也願意把讚美說出口。不是空泛的稱讚,而是真誠地告訴孩子:「我看見你了,我知道你正在努力。」

    山泉、彩虹、藍天,也不只是班名。

    山泉,是低年級。

    像剛流出的水,還帶著生命最初的清澈與衝動。孩子在這裡學習生活、秩序、專注與品格,像泉水剛開始找到流動的方向。

    彩虹,是中年級。

    孩子開始學習合作、表達與多元能力;不同顏色開始彼此並存,不再只是「我」,而開始看見「我們」。

    藍天,是高年級。

    孩子開始學習探索世界,也學習建立視野與格局。像飛鳥開始離開山谷,抬頭看見更大的天空。

    而油桐班,則是模擬人生裡一個非常特別的存在。

    它不是資優班,也不是特權班。

    它更像一個「立約的實驗」。

    孩子需要挑戰,需要證明自己願意承擔;而另一端,也需要有一位願意負擔的大人。

    這位大人,不一定是家長。

    他可能是一位願意相信教育的人,一位願意支持孩子的人,一位願意用自己的力量,允許一個名額誕生的人。

    所以油桐班真正動人的地方,不是「誰進去了」,而是:

    有人願意相信,
    一個孩子值得被支持。

    模擬人生裡有一個很深的精神:

    一個人的成長,從來不是單獨完成的。

    孩子因著被相信,而開始願意挑戰;
    大人因著願意支持,而成為另一個生命的光。

    於是,
    山谷裡開始有鳥語,
    春天裡開始有花香,
    而孩子,也開始慢慢長成他原來可以成為的樣子。

  • 剛開始,很多人都覺得,她是一個「很難帶」的孩子。

    情緒來得快,說話急,常常一下子就失控;大人提醒她,她又更用力保護自己。久了,大家看她的眼神,總有一點疲憊。

    可是我一直覺得,那不是她真正的樣子。

    我總覺得,這孩子像一株長得太快、卻還找不到陽光方向的小植物;葉子亂亂地伸著,看起來倔強,其實只是還不知道怎麼長。

    那一天,山泉班的孩子吵了起來。

    有人激動地大叫,幾個孩子七嘴八舌地解釋,每個人都急著證明自己沒錯。可是越說,空氣越亂。

    我沒有繼續判斷誰對誰錯。

    我只是輕輕地說:

    「我等一下有一班幼兒音樂課。今天是他們第一天上學,我需要完全準備好,可是現在,我還沒有辦法完全安靜下來。你們可不可以讓老師靜一靜?」

    當時,我們正好站在電梯旁。

    那裡有一部飲水機,旁邊放著一張小桌子;天井正好從上面投下一道光。彥塵老師一直很喜歡那個角落。

    那一刻,我忽然有了一個念頭。

    我指著那個地方說:

    「這裡,以後叫『光明角』。」

    孩子們安靜了。

    我繼續說:

    「如果有人覺得自己快失控了,可以來這裡靜一靜。等你找回自己的最佳狀態,就可以離開;然後告訴老師:『我去過光明角了。』老師就懂了。」

    孩子們臉色凝重。

    因為他們知道,走進光明角,代表一件很不容易的事:

    承認自己失控了。

    我問:

    「有沒有人想去?也許五分鐘後,你就能找回自己的最佳狀態。」

    空氣停了一下。

    忽然,一隻小手慢慢舉了起來。

    是她。

    那個一直被大人認為「完全不受控制」的小女孩。

    她沒有再爭辯誰對誰錯,也沒有繼續替自己辯護;她只是默默選擇,走進光明角。

    那一刻,我心裡非常感動。

    因為我知道,真正重要的,不是孩子有沒有犯錯,而是:

    她願不願意開始管理自己。

    那不是放任,也不是壓抑。

    而是生命第一次願意說:

    「我想找回更好的自己。」

    她坐在那道光裡,安安靜靜的。

    過了一會兒,她帶著燦爛的笑容走出來,輕輕告訴我:

    「老師,我好了。」

    後來,剛才和她起爭執的小弟弟,也在我的詢問下,願意走進光明角。

    我忽然覺得,生命裡有一些很緊很緊的結,正在慢慢鬆開。

    後來,我陪她練大提琴,陪她做研究,陪她一句一句修改畢卡索的發表,陪她一步一步把〈獵人〉的音找出來。

    我慢慢發現:

    這孩子不是沒有力量。

    她只是一直沒有學過,怎麼讓自己的力量,找到出口。

    而光明角,其實不是一個角落。

    它更像是一道門。

    讓孩子第一次知道:

    原來人不是只能失控。

    原來人也可以慢慢學會,把自己帶回光裡。

    教育最深的地方,有時不是把孩子改好。

    而是當一個孩子快被黑暗吞掉時,還有人願意替他留一個有光的位置。

    當愛夠深,教育真的可以雙贏。

    因為孩子被拯救的同時,大人的心,也一起變得更柔軟了。

  • 小女孩上大提琴個別課時,有幾次我正好經過。印象中,她不愛練琴,常常讓老師上得很無奈。那時我心裡曾經有一個念頭:也許有一天,我可以陪她練練看,或許能讓她的心態有一點調整。

    這學期,她來到私塾,一來就喜歡這裡。因為不喜歡大提琴,她要求上我的鋼琴課。我沒有拒絕,因為我知道,這是一個接近她的機會。

    小女孩每天寫完功課,就會巴著我上鋼琴課。她真的很認真,和以前判若兩人。個性衝動急躁的她,被我糾正後,會練習溫柔地說話;闖下禍時,也會誠懇修正,願意用行動彌補。

    有一天,我發現她真的「從來不練大提琴」。我告訴她:「我可以陪你練大提琴。妳先把大提琴練好,還有空,才能練鋼琴。」

    徵求家長同意後,家長把琴送了過來。為了保有「鋼琴徒兒」的身分,她同意了。

    剛開始,要她拉空弦,每拉幾弓,她就喊累。我讓她休息一下,一次又一次,等她再拿起弓繼續。每次時間不長,但她得到「音樂家」的工資,就讓她去登記。

    後來,她開始要求「數學浸潤」。玩完遊戲,拿起學習單,一口氣寫完;不會也要問到會,每天都不讓自己錯過我給的學習。

    有一天,我對她說:「我想陪你好好改一下你的研究,好不好?」

    她很願意。只是週末他們通常不在竹北,爸媽決定提早把她送回來,讓我陪她調整。

    那天下午,她居然是有備而來。我問她研究的問題,她都很快回應。小二的孩子很多字還不會,但她勇敢地讀,讀錯了就讓我糾正,我心裡非常感動。

    我們花了很長的時間,把畢卡索的作品看熟,分析不同時期的特徵;也研究畢卡索許多自畫像,看看不同年齡的自畫像,是否可以驗證不同時期的風格。

    每完成一頁,我都讓她把文字讀順。她會建議我用哪個詞,因為那個詞她比較會讀;我接受她的指導,讓她教我怎麼教她。有些地方,我建議她改用別人比較容易懂的詞,她也接受了。

    研究課那天,她充滿自信地介紹,讓大家真的更認識畢卡索了。

    下課後,她立刻先預約:「等一下可以陪我練大提琴嗎?」

    我請她把琴準備好,她很快就準備好了。

    幾天來,她終於把之前「從不練習」的巴哈小步舞曲,一弓一弓拉出來;也能夠在琴房放著 iPad,一音一音找到音,一弓一弓弄對弓法,再一句一句拉出曲子。

    我問她:「老師有給新曲子嗎?」

    她回答:「有,其中〈獵人〉很難,我不會。」

    我說:「那就一步一步來。」

    我們從撥弦開始,一個音一個音撥,然後一句一句撥,最後一整段撥;跟不上速度,就放慢,直到有把握。

    那一晚,她整整三十分鐘沒有抱怨手酸,沒有嫌太難。最後,她把整首自認「完全不會」的曲子,都找到音了。

    生命的三大要素:陽光、空氣、水,是我們都有的常識。

    一個優質的生命,也需要三個條件:

    溫暖的陽光,看見生命舞台,傲然跨出陰影;
    流通的空氣,擺脫淤泥環境,心靈自由呼吸;
    活水的浸潤,學習找到方法,結出強勢領域。

    親愛的小女孩,陪妳的這段日子,妳也帶給我許多營養。

    這朵花讓我想到妳的生命。

    祝福妳!

    老師愛妳!

    ——

    詩羽掠影

    這篇〈陽光、空氣、水〉,表面上寫的是一個不愛練大提琴的小女孩,如何慢慢願意面對困難;更深處寫的,其實是教育如何為生命預備環境。

    有些孩子不是沒有能力,而是生命裡缺少陽光;她看不見自己的舞台,也不相信自己值得被期待。

    有些孩子不是不願意努力,而是空氣不流通;她長久停在挫折與抗拒裡,心靈沒有地方呼吸。

    有些孩子不是學不會,而是還沒有遇見活水;一旦有人陪她找到方法,把困難切成一步一步,她就開始知道,原來自己也能前進。

    這篇最動人的地方,不是孩子忽然變乖,而是老師沒有急著要求她改變,而是先找到一個入口:鋼琴是入口,陪伴是入口,研究是入口,大提琴也終於重新成為入口。

    孩子從「不練」到「願意練」,從「我不會」到「一步一步來」,不是被責備推出來的,而是被陽光照見、被空氣鬆開、被活水浸潤出來的。

    教育有時不是立刻開花,而是先讓一株小小的生命,重新得到陽光、空氣與水。