Principles

The prepared environment

The classroom is arranged so a child can find, use, and return every material without adult help. Materials are sequenced on open shelves from left to right and top to bottom, simple to complex.

In practice, and why
  • Low open shelves grouped by area; each material has one fixed place and a complete tray.
  • Furniture, tools, and cleaning supplies are child-sized, real, and light enough for a child to carry.
  • One copy of each material, so a child who wants a work in use waits for it (Montessori, 1949).
  • Only materials that have been presented to at least some children are on the shelves; broken or incomplete sets are removed until repaired.
  • The guide re-prepares the room daily and rotates cultural and seasonal materials.

Montessori made the material, not the adult's verbal instruction, the main agent of learning, and stated that the first aim of the prepared environment is to make the child independent of the adult (Montessori, The Discovery of the Child; 1936). Lillard (2017) reviews research showing that order and predictable structure support learning, and classrooms that keep to the classic Montessori materials show larger gains than those supplemented with conventional toys and worksheets (Lillard, 2012; Lillard & Heise, 2016).

Montessori, M. The DiscoveryMontessori 1936Montessori 1949Lillard 2017Lillard 2012Lillard 2016

Mixed-age grouping (3 to 6)

Children of three ages share one room for three years. Younger children learn by watching older ones; older children consolidate learning by helping and presenting.

In practice, and why
  • Each class holds a reasonable balance of 3-, 4-, and 5-year-olds.
  • A child stays with the same guide and community for three years.
  • Older children are invited to show a younger child a work they have mastered.
  • The third (kindergarten) year is planned as a leadership year, not a separate class.

Montessori observed that grouping children of the same age isolates them socially and wrote that the 3–6 mix produced cohesion and mutual help (Montessori, 1949). Cross-age tutoring is one reason Diamond and Lee (2011) list Montessori among programs shown to aid executive function; AMI and AMS both require a three-year age span.

Montessori 1949Diamond 2011Lillard 2017AMI/USA. Standards for AMI MAmerican Montessori Society.

The uninterrupted three-hour work cycle

Each morning offers a block of about three hours in which children choose, repeat, and finish work without whole-group interruptions.

In practice, and why
  • No whole-class activities are scheduled inside the morning block; snack is self-serve.
  • The guide gives individual and small-group presentations during the cycle.
  • A mid-morning period of restlessness is expected and waited through rather than ended with a group activity.
  • Afternoon work periods of about two hours are offered to children who do not nap.

AMI standards call for 3-hour uninterrupted work periods five mornings a week; AMS names 3 hours, 5 days a week as optimal. AMI explains that deep engagement does not appear without long, protected time (AMI, n.d.). Marshall (2017) notes that benefits may depend on keeping this full engagement time.

AMI/USA. Standards for AMI MAmerican Montessori Society.Association Montessori InterMarshall 2017

Sensitive periods

Between birth and six, children pass through windows of intense interest in particular things: order, movement, language, small objects, refinement of the senses, and social life. Work offered during a window is taken up with ease.

In practice, and why
  • Language is offered richly and constantly: names for everything, songs, stories, sounds.
  • Order is kept strict for the child who is upset when things are out of place.
  • The guide watches for a child who repeats one kind of work and offers the next step in that line.
  • Practical Life and Sensorial work are offered early while the drive to refine movement and the senses is strong.

Montessori borrowed the term from Hugo de Vries and devoted a chapter to it (Montessori, 1936). Lillard (2017) notes that developmental science recognizes sensitive periods, for example for language, though Montessori applied the idea more broadly than current research has tested.

Montessori 1936Lillard 2017

The absorbent mind

Before six, children take in language, movement, customs, and attitudes from their surroundings without deliberate effort. Everything the adult does in the room is a lesson.

In practice, and why
  • Adults move slowly, speak quietly, and use precise vocabulary at all times.
  • Grace and courtesy is modelled by adults before it is ever requested of children.
  • The classroom culture carries itself from year to year because older children model it for newcomers.

Montessori described the first six years as the period when intelligence and personality are formed through unconscious absorption of the environment (Montessori, 1949). NAMTA trainers apply this directly: anything said or done in front of the children is a presentation (Soholt, 2015).

Montessori 1949Soholt 2015

Freedom within limits

Children are free to choose their work, where to do it, how long to work, and whether to repeat it. The limits are the good of the group, care of materials, and respect for others.

In practice, and why
  • A child may choose any work that has been presented to them.
  • A child may not use a material in a way that damages it, disturbs another child, or is unsafe.
  • Limits are stated briefly and enforced consistently, with the child helped to succeed rather than punished.

Montessori wrote that the child's liberty should have the collective interest as its limit and good manners as its form (Montessori, 1912). Lillard (2017) connects this to research on authoritative adult styles (clear limits plus warmth) and on perceived choice, both linked to better child outcomes.

Montessori 1912Lillard 2017

The three-period lesson

New names are taught in three steps: naming (“This is red”), recognition (“Show me red”), and recall (“What is this?”).

In practice, and why
  • Used for vocabulary, sensorial qualities, letter sounds, numerals, and nomenclature.
  • Two or three contrasting items are taught at a time.
  • Most of the lesson stays in the second period, with lively requests that move the objects around.
  • If the child cannot recall a name in the third period, the guide says nothing corrective and returns to it another day.

Montessori adapted the three periods from Édouard Séguin and set them out in her handbook with the sensorial materials and the sandpaper letters (Montessori, 1912; 1914). No controlled study has tested the three-period lesson on its own; its value in this workbook rests on Montessori practice and its place in programs with measured outcomes.

Montessori 1912Montessori 1914

Control of error

Each material shows the child whether the work is right: a cylinder that does not fit, a leftover piece, a tower that falls, a card that does not match the control chart.

In practice, and why
  • The guide does not correct the child during work; the material does.
  • Every work record in this workbook names its control of error.
  • If a material lacks a built-in control, a control card or chart is added for older children.

Montessori wrote that the control of error lies in the material itself, so the child corrects themself without the teacher pointing out the mistake (Montessori, 1914). Marshall (2017) identifies self-correcting material as a distinctive element of the method; avoiding adult correction also avoids the motivational costs of evaluation described by Deci, Koestner, and Ryan (1999).

Montessori 1914Marshall 2017Deci 1999

Isolation of a single difficulty

Each material varies in one quality only, and each presentation teaches one new skill at a time.

In practice, and why
  • Knobbed Cylinders: same height, different diameter (Block 1); other blocks vary a different dimension.
  • Pink Tower varies in all three dimensions but is all one color; Red Rods vary in length only.
  • In a presentation, the guide performs one movement at a time slowly and without talking during the movement.

Montessori built each sensorial set so that only one dimension changes, and described presenting movements slowly and separately (Montessori, 1914). Isolating one quality lets the child notice it and gives the three-period lesson a single word to attach to it.

Montessori 1914Montessori 1912

From concrete to abstract

Every concept is met first as an object the child can hold, then linked to a symbol, then practised with less material until the child works with symbols alone.

In practice, and why
  • Number Rods and Spindle Boxes before written sums; Golden Beads before the Stamp Game before paper operations.
  • Geometric solids and insets before geometry words.
  • Grammar symbols start as a physical action (e.g., acting out a verb) before labelling words.

Lillard (2017) summarizes research linking hands-on movement to stronger learning. A systematic review of "concreteness fading" found that starting with concrete representations and moving step by step to abstract ones produces better transfer than either alone (Fyfe et al., 2014).

Lillard 2017Fyfe 2014

Indirect preparation

Earlier works train skills that later works need, without naming the later goal. The child arrives at a new skill already prepared.

In practice, and why
  • Knobs on cylinders and puzzle maps build the three-finger pencil grip.
  • Tracing metal insets builds pencil control for writing.
  • Left-to-right, top-to-bottom work patterns in Practical Life prepare the direction of reading and writing.
  • Sensorial grading and pairing prepare comparison and one-to-one correspondence in math.

Montessori described the metal inset work as an indirect but very real preparation for writing (Montessori, 1914). Practical Life materials used in a public kindergarten improved fine motor skill compared with ordinary fine-motor activities (Rule & Stewart, 2002).

Montessori 1914Rule 2002

Observation as the basis of teaching

The guide decides what to present next from what the child is observed doing, not from the calendar or the age chart.

In practice, and why
  • Daily written observation notes; a weekly review of each child.
  • Readiness is judged by the mastery signs listed for each work.
  • The guide watches before intervening and records what preceded a behaviour.

Montessori wrote that every useful activity of the child must be permitted and observed, and that the teacher must bring both the capacity and the desire to observe (Montessori, 1912); she later described the teacher as a director of the children's spontaneous work rather than a lecturer (Montessori, The Discovery of the Child). Diamond and Lee (2011) note that Montessori teachers observe each child and present a new challenge when the child is ready.

Montessori 1912Montessori, M. The DiscoveryDiamond 2011

Normalization

Montessori’s term for the change seen when a child settles into concentrated, self-chosen work: calm, self-discipline, independence, and care for others.

In practice, and why
  • The guide’s first goal with a new child is to connect them with work that holds their attention.
  • Concentration is protected above all other goals during the work cycle.
  • Group harmony is expected to follow individual concentration, not to be imposed before it.

Montessori described normalization as the result of concentration on work in a prepared environment with freedom (Montessori, 1949; 1936). Diamond and Lee (2011) note that normalization, as Montessorians use the term, includes strong executive function, and randomized-lottery studies find Montessori children ahead on executive function (Lillard & Else-Quest, 2006; Lillard et al., 2025).

Montessori 1949Montessori 1936Diamond 2011Lillard 2006Lillard 2025

Why the five areas come in this order

The areas run side by side all year, but a new child meets them in this order, and each one prepares the next.

  1. Practical Life

    Presented first to every new child. These works use familiar objects and have a clear purpose, so a child can succeed on the first day. Each one builds control of movement, a longer attention span, order (a fixed sequence of steps), and independence, which every other area depends on.

  2. Sensorial

    Follows Practical Life once the child can carry a material and work through a sequence. Each material varies only one quality, so the child refines one sense at a time and learns exact words for it. The materials are the concrete preparation for mathematics (Red Rods → Number Rods; binomial cube → algebra) and for writing (Geometric Cabinet → Metal Insets).

  3. Language

    Runs from the first day through spoken language and sound games. Symbols follow sound awareness: Sandpaper Letters teach sounds, not letter names. Children build words with the Moveable Alphabet (encoding) before they read them (decoding), because putting known sounds together is easier than taking apart someone else's word.

  4. Mathematics

    Begins after the Sensorial materials have given the child ordered length and grading. Each concept follows the same three steps: quantity, then symbol, then their association. The decimal system is introduced early with the Golden Beads because units, tens, hundreds, and thousands are concrete and visible; memorization and abstraction come last.

  5. Cultural

    Presented from the whole to the parts: the globe before continents, continents before countries; living and non-living before plant and animal. Sensory impressions (a puzzle map, a real leaf) come before names, and names come before facts. Celebrations around the world are studied here as culture, so no single tradition is centered.

Kinds of lessons

Three-period lesson

Teaches names for things the child already understands through the hands and senses: qualities, letter sounds, numerals, nomenclature. Usually two or three items at a time.

  1. 1

    Before starting, check the child has already worked with the material and can see the difference being named.

  2. 2

    First period (naming): touch or point to each item and say its name clearly, once or twice: “This is rough. This is smooth.”

  3. 3

    Second period (recognition): ask the child to act: “Show me rough.” “Put smooth on your lap.” “Give rough to me.” Move the items around and repeat many times; this is the longest period.

  4. 4

    Third period (recall): point and ask “What is this?” only when the second period is easy for the child.

  5. 5

    If the child hesitates or gives the wrong name, do not correct; return to the second period or end cheerfully and repeat on another day.

  6. 6

    Record which names were given and which were recalled.

Individual presentation

The standard way a new work is introduced: one child, one material, the guide showing the exact movements. Montessori described the ideal lesson as brief, simple, and objective.

  1. 1

    Invite the child: “I have something to show you.” Walk together to the shelf.

  2. 2

    Name the material, show the child how to carry it, and set it on a table or rug with the child seated on the guide’s dominant-hand side.

  3. 3

    Perform the work slowly, one movement at a time, speaking little or not at all during movements.

  4. 4

    Show the control of error where there is one.

  5. 5

    Offer the child a turn; then step back and observe without commenting.

  6. 6

    Show how to restore the work and return it to its place on the shelf.

  7. 7

    Record the presentation (P) in the child’s record.

Small-group presentation

Two to five children who are at the same point in a sequence. Used for language games, math games with shared material, cultural lessons, and grace and courtesy.

  1. 1

    Choose children by readiness observed, not by age.

  2. 2

    Gather them on a rug or at a table with the material already present.

  3. 3

    Present as for an individual lesson, giving each child a turn.

  4. 4

    Keep it short and stop while interest is high.

  5. 5

    Invite children to repeat the work alone or in pairs; note who needs an individual follow-up.

Grace and courtesy role-play

A short, often lightly humorous small-group lesson that shows the movements and words for a social situation, given before the children need the skill, then practised.

  1. 1

    Choose the skill from observation of what the group needs (for example, interrupting politely or handing someone a fragile object).

  2. 2

    Gather three to five children; state the skill: “We are going to show you how to …”

  3. 3

    Act it out with the assistant or a skilled older child, using the exact words.

  4. 4

    Each child takes a turn in both roles while the others watch.

  5. 5

    Close by naming the skill: “Now you know how to …” and tell the children they may practise any time.

  6. 6

    Repeat the lesson freshly, rather than scolding, when the skill is not being used.

Collective lesson (circle or line)

The whole class together for a short time: songs, stories, the Silence Game, walking on the line, celebrations, calendar and weather, and grace and courtesy that concerns everyone. Kept short and never placed in the middle of the morning work cycle.

  1. 1

    Gather at the end of the work cycle or at a transition, not during it.

  2. 2

    Open with a signal children know (a song, a bell, a quiet voice).

  3. 3

    Offer one focus: a story, a song, a movement game, or a short lesson.

  4. 4

    Keep it to 10–15 minutes for this age group; end before attention fades.

  5. 5

    Dismiss children one or a few at a time to avoid crowding.

Record keeping

Progress is recorded against each work’s mastery signs, never against age alone.

P — Presented Pr — Practicing M — Mastered
P / Pr / M notation
For every work, record the date of each stage: P = Presented (first individual or small-group presentation), Pr = Practicing (child chooses and repeats it, may still need help), M = Mastered (child meets the mastery signs listed for the work, independently and more than once). A work can move back from M to Pr if skill is lost. Mastery is judged against the listed mastery signs, not age.
Daily observation notes
Brief, factual, dated notes: what the child chose, how long they stayed with it, level of concentration, repetitions, interactions, and anything that preceded a disruption. Write what was seen, not interpretations. Aim to note every child at least once a week.
Weekly planning
Once a week, review each child’s record and observation notes and list the next one to three presentations for each child. Group children who are ready for the same lesson. Plan grace and courtesy lessons from the social needs observed that week. Check that each area has something new for each child over the month.
Portfolio
A dated folder of work samples collected across the year: metal inset drawings, first letters and words, writing samples, math work, maps, art, and photos of three-dimensional work. Used in family conferences to show growth over time, not to grade.
Conference summary
Two or three times a year, summarize each child’s progress by area and in social-emotional development using the year expectations as a reference range, not a checklist. Note strengths, current work, and next steps.

Research summary

Montessori foundations: research notes

Summary of the research behind the norms, principles, sequence, and year expectations in this workbook. Source ids refer to foundationSources in src/data/foundations.ts. Every citation was checked against the publisher, DOI record (Crossref), or the full text. Direct claims about Montessori’s own methods were checked against the public-domain texts of The Montessori Method (1912) and Dr. Montessori’s Own Handbook (1914), and against full-text scans of The Absorbent Mind and The Secret of Childhood.

1. What the outcome research shows

Study Design Findings relevant to 3–6 id
Lillard & Else-Quest, 2006, Science Children who won vs. lost a lottery for a public AMI Montessori school; tested at age 5 Montessori 5-year-olds scored higher on letter-word identification, phonological decoding (Word Attack), applied math problems, executive function (card sort), false-belief (social cognition), and fairness reasoning, and showed more positive shared play. No difference on vocabulary. lillard-else-quest-2006
Lillard, 2012, J. School Psychology Classic Montessori vs. Montessori supplemented with conventional activities vs. conventional preschool; fall and spring testing Classic Montessori children made larger gains in executive function, reading, math, vocabulary, and social problem-solving. Fidelity matters. lillard-2012
Lillard & Heise, 2016, J. Montessori Research Supplementary (non-Montessori) materials removed from 2 of 3 classrooms; 52 children, 4 months Children in the classrooms with materials removed gained more in letter-word identification and executive function. Small sample. lillard-heise-2016
Lillard et al., 2017, Frontiers in Psychology Lottery-based admission to two public Montessori schools; 141 children tested 4 times from age 3 to 6 Montessori children did better over time in academic achievement, social understanding, and mastery orientation; lower-income Montessori children moved toward closing the gap with higher-income children. lillard-2017
Lillard et al., 2025, PNAS National randomized trial: 588 children in lotteries at 24 public Montessori programs; outcomes at end of kindergarten Winning a Montessori seat led to better reading, executive function, short-term memory, and social understanding at the end of kindergarten, at a lower per-child cost to districts (about $13,000 less over three years, as reported). Gains appeared by the end of the third (kindergarten) year. lillard-2025
Randolph et al., 2023, Campbell systematic review Meta-analysis of studies with baseline equivalence Montessori education had a significant positive effect on academic and nonacademic outcomes. randolph-2023
Marshall, 2017, npj Science of Learning Narrative review Evidence supports benefits of Montessori education that is faithful to its principles; benefits are less certain for adapted versions with less engagement time. marshall-2017
Diamond & Lee, 2011, Science Review of interventions for executive function Lists Montessori among programs with evidence of improving executive function; names one-of-each materials (waiting), walking on the line, individual observation, and cross-age tutoring as likely reasons. diamond-lee-2011

Two implications for this workbook

  1. Keep to the full model. The strongest results come from classic, high-fidelity classrooms: full three-hour work cycle, three-year age mix, complete Montessori materials, few non-Montessori extras (lillard-2012, lillard-heise-2016, marshall-2017). This is why the norms protect the work cycle and why the environment norms limit supplementary materials.
  2. The third year matters. In both the 2017 and 2025 studies, benefits appear by the end of kindergarten. A child who leaves after two years misses the year in which reading, writing, and the decimal system come together and in which the child leads others.

2. How the research shapes the sequence

Why Practical Life comes before Sensorial, and Sensorial before Math

  • Practical Life builds the movements every later material needs: carrying, pouring, left-to-right work, a complete cycle of choose–do–restore, and concentration on a real task (montessori-1914). A study in public kindergartens found that Practical Life materials improved fine motor skill more than ordinary fine-motor activities (rule-stewart-2002).
  • Sensorial materials isolate one quality each (length, width, color, weight) so the child can compare, pair, and grade (montessori-1914). This is the preparation for math: the Red Rods lead directly to the Number Rods (same lengths, now divided into red and blue sections), and grading and pairing are the basis of seriation and one-to-one correspondence.

Why writing comes before reading

  • Montessori observed that writing (building words from sounds) came before reading (getting meaning from someone else’s written words), and wrote that “writing precedes reading” (montessori-1912). The child who can hear the sounds in a word and choose letters for them is doing the harder analytic step first.
  • Modern evidence agrees with using letters to practise sound analysis: the National Reading Panel found phonemic-awareness instruction works best when children manipulate sounds with letters and apply it in reading and writing, and that phonemic awareness at kindergarten entry is one of the two best predictors of later reading (nrp-2000).
  • In practice: Sandpaper Letters and sound games, then building words with the Movable Alphabet, then reading those words, then reading unfamiliar words and sentences.

Why Sandpaper Letters teach sounds, not names

  • Montessori gave consonants “not the name, but only the sound” in the three-period lesson on the Sandpaper Letters (montessori-1914). A child who knows /m/ /a/ /t/ can build and read mat; a child who knows “em, ay, tee” cannot.
  • Tracing the letter while saying the sound adds touch and movement. Kindergartners who explored letters by touch as well as sight gained more in understanding the alphabetic principle (bara-2004), and practice printing letters by hand, but not typing or tracing them, engaged reading-related brain regions in pre-literate children (james-engelhardt-2012).
  • Note: current reading research teaches letter names as well as sounds. This workbook adds letter names in the third year, when children need them for alphabetizing and spelling aloud.

Why the Golden Beads come before symbols

  • The concrete-to-abstract path (Golden Beads → Stamp Game → paper) matches the research on “concreteness fading”: starting with concrete objects and moving step by step to symbols gives better understanding and transfer than starting with either alone (fyfe-2014). Lillard reviews research linking hands-on movement to learning (lillard-2017-book).
  • The beads show that a thousand is physically ten hundreds before the child writes 1000. This is why Montessori third-year children typically work with 4-digit quantities while Utah Kindergarten requires counting to 100 and adding and subtracting within 10; the workbook treats the Utah standard as the minimum.

Why the three-period lesson

  • Montessori took the three periods (naming, recognition, recall) from Séguin and used them for sensorial qualities, letter sounds, and numerals (montessori-1912, montessori-1914). Most of the lesson stays in recognition, which is easier than recall, so the child succeeds while learning.
  • Limitation: no controlled study has tested the three-period lesson alone. It is included because it is a core Montessori practice and part of the programs with measured results.

Why control of error and no rewards

  • Montessori wrote that the control of error lies in the material itself, so the child corrects themself without being told (montessori-1914). She removed prizes and punishments (montessori-1912), and children in her first school refused sweets offered as rewards (montessori-1936).
  • A meta-analysis of 128 experiments found that expected tangible rewards reduce intrinsic motivation (deci-koestner-ryan-1999). This is the basis for describing rather than praising, and redirecting rather than rewarding or punishing.

Why a mixed-age group and one of each material

  • Montessori called age-segregated classes a “fundamental error” and described the 3–6 group as producing cohesion and mutual help (montessori-1949). She also wrote that a class should have only one copy of each object, so children learn to wait (montessori-1949).
  • Diamond and Lee connect both features to executive function: waiting exercises inhibitory control, and cross-age tutoring produces better outcomes than teacher-led instruction (diamond-lee-2011). AMI and AMS both require a three-year age span (ami-standards, ams-core-components).

Why a three-hour work cycle

  • AMI requires 3-hour uninterrupted work periods five mornings a week (plus 2-hour afternoon periods); AMS names 3 hours, 5 days a week as optimal and 2 hours, 4 days as the minimum (ami-standards, ams-core-components). AMI’s explanation: without long protected time, deep engagement does not appear (ami-work-cycle).
  • Montessori’s account of a child repeating the cylinders 42 times and finishing calm and satisfied is the origin of the emphasis on concentration and repetition (montessori-1936).

Why grace and courtesy is taught as lessons, not corrections

  • Montessori wrote that education begins by preparing the child for the forms of social life (montessori-1912), and described a lesson on blowing the nose that children received with applause because no one had taught them without scolding (montessori-1936).
  • NAMTA guidance: choose lessons from observed social needs; give them in small groups before the need arises; act them out with the assistant or an older child; let each child practise; if a skill is not used, give the lesson again rather than correcting (soholt-2015). For conflict: stop harm, care for the hurt child, then help each child speak in turn.
  • Montessori 5-year-olds in lottery studies show more fairness reasoning and positive shared play (lillard-else-quest-2006).

3. What could not be verified or is limited

  • Three-period lesson, sensitive periods for order and small objects, and normalization rest on Montessori’s observations, not controlled tests. Lillard notes that developmental science supports sensitive periods (for example, for language), but Montessori applied the idea more broadly (lillard-2017-book).
  • 2025 RCT math result: the published summaries report gains in reading, executive function, short-term memory, and social understanding; they do not report a math gain, so this workbook does not claim one. Results are at the end of kindergarten; long-term durability is not yet known.
  • Lillard & Heise (2016) had 52 children in three classrooms; treat it as supporting, not conclusive.
  • Year expectations are typical ranges built from the standard Montessori scope and sequence, AMI/AMS practice, and Utah Kindergarten standards. They are not norms from a published study.
  • Sample daily rhythm follows AMI time requirements; exact clock times are illustrative.
  • The P / Pr / M notation and portfolio practices are common classroom conventions, not drawn from a single published source.

Sources

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  8. Utah State Board of Education. Utah Core State Standards for Fine Arts. Adopted April 15, 2016 (ADA-compliant edition, April 2021). Open source
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  12. Montessori, M. (1936). The Secret of Childhood (B. B. Carter, Trans.). London: Longmans, Green. Current authorized edition: The Montessori Series, Vol. 22. Laren, The Netherlands: Montessori-Pierson Publishing Company. Open source
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Try “pink tower”, “tummy”, “diaper”, “grace and courtesy”, or “October”.