<h2>CHAPTER VI</h2>
<h3>SCHOOL-BOOKS</h3>
<blockquote>
<p><em>The most worthless book of a bygone day is a record worthy of
preservation. Like a telescopic star, its obscurity may render it
unavailable for most purposes, but it serves in hands which know
how to use it to determine the places of more important bodies.</em></p>
<p class="sig">
—<em>A. de Morgan, 1847.</em></p>
</blockquote>
<p>When any scholar could advance beyond
hornbook and primer he was ready for
grammar. This was not English grammar,
but Latin, and the boy usually began to study
it long before he had any book to con. A bulky
and wretched grammar called Lilly's was most popular
in England. Locke said the study of it was a
religious observance without which no scholar was
orthodox. It named twenty-five different kinds of
nouns and devoted twenty-two pages of solid print
to declensions of nouns; it gave seven genders, with
fifteen pages of rules for genders and exceptions.
Under such a régime we can sympathize with
Nash's outburst, "Syntaxis and prosodia! you are<span class="pagenum"><SPAN name="Page_134" id="Page_134">[134]</SPAN></span>
tormentors of wit and good for nothing but to get
schoolmasters twopence a week."</p>
<p>It was said of Ezekiel Cheever, the old Boston
schoolmaster, who taught for over seventy years,
"He taught us Lilly and he Gospel taught." But
he also wrote a Latin grammar of his own, <cite>Cheever's
Accidence</cite>, which had unvarying popularity for
over a century. Cheever was a thorough grammarian.
Cotton Mather thus eulogized him:—</p>
<div class="poem">
<span class="i0">"Were Grammar quite extinct, yet at his Brain<br/></span>
<span class="i1">The Candle might have well been Lit again."<br/></span></div>
<p>There was brought forth at his death a broadside
entitled <cite>The Grammarian's Funeral</cite>. A fac-simile
of it is here given. Josiah Quincy, later in life
the president of Harvard College, wrote an account
of his dismal school life at Andover. He
entered the school when he was six years old, and
on the form by his side sat a man of thirty. Both
began <cite>Cheever's Accidence</cite>, and committed to memory
pages of a book which the younger child certainly
could not understand, and no advance was permitted
till the first book was conquered. He
studied through the book twenty times before mastering
it. The hours of study were long—eight
hours a day—and this upon lessons absolutely
meaningless.</p>
<div class="figcenter bord" style="width: 400px;"><SPAN name="grammarians" id="grammarians"></SPAN>
<ANTIMG src="images/i044.jpg" width-obs="400" height-obs="568" alt="grammarians" />
<div class="caption"><p class="center">The Grammarians Funeral,</p>
<p class="center">OR,</p>
<p class="center">An ELEGY compoſed upon the Death of Mr. <em>John Woodmancy</em>,
formerly a School-Maſter in <em>Boſton</em>: But now Publiſhed upon
the DEATH of the Venerable</p>
<p class="center">Mr. Ezekiel Chevers,</p>
<p class="center">The late and famous School-Maſter of <em>Boſton</em> in <em>New-England</em>; Who Departed this Life the
<em>Twenty-firſt</em> of <em>Auguſt</em> 1708. Early in the Morning. In the Ninety-fourth Year of his Age.</p>
<div class="poem"><div class="stanza">
<span class="i0">Eight Parts of <em>Speech</em> this Day wear <em>Mourning Gowns</em><br/></span>
<span class="i0">Declin'd <em>Verbs, Pronouns, Participles, Nouns</em>.<br/></span>
<span class="i0">And not declined, <em>Adverbs</em> and <em>Conjunctions</em>,<br/></span>
<span class="i0">In <em>Lillies</em> Porch they ſtand to do their functions.<br/></span>
<span class="i0">With <em>Prepoſition</em>; but the moſt affection<br/></span>
<span class="i0">Was ſtill obſerved in the <em>Interjection</em>.<br/></span>
<span class="i0">The <em>Subſtantive</em> ſeeming the limbed beſt,<br/></span>
<span class="i0">Would ſet a hand to bear him to his Reſt.<br/></span>
<span class="i0">The <em>Adjective</em> with very grief did ſay,<br/></span>
<span class="i0">Hold me by ſtrength, or I ſhall faint away.<br/></span>
<span class="i0">The Clouds of Tears did over-caſt their faces,<br/></span>
<span class="i0">Yea all were in moſt lamentable <em>Caſes</em>.<br/></span>
<span class="i0">The five <em>Declenſions</em> did the Work decline,<br/></span>
<span class="i0">And <em>Told</em> the <em>Pronoun Tu</em>, The work is thine:<br/></span>
<span class="i0">But in this caſe thoſe have no call to go<br/></span>
<span class="i0">That want the <em>Vocative</em>, and can't ſay O!<br/></span>
<span class="i0">The <em>Pronouns</em> ſaid that if the <em>Nouns</em> were there,<br/></span>
<span class="i0">There was no need of them, they might them ſpare:<br/></span>
<span class="i0">But for the ſake of <em>Emphaſis</em> they would,<br/></span>
<span class="i0">In their Diſcretion do what ere they could.<br/></span>
<span class="i0">Great honour was confer'd on <em>Conjugations</em>,<br/></span>
<span class="i0">They were to follow next to the <em>Relations</em>.<br/></span>
<span class="i0"><em>Amo</em> did love him beſt, and <em>Doceo</em> might<br/></span>
<span class="i0">Alledge he was his Glory and Delight.<br/></span>
<span class="i0">But <em>Lego</em> ſaid by me he got his skill,<br/></span>
<span class="i0">And therefore next the <em>Herſe</em> I follow will.<br/></span>
<span class="i0"><em>Audio</em> ſaid little, hearing them ſo hot,<br/></span>
<span class="i0">Yet knew by him much Learning he had got.—<br/></span>
<span class="i0">O <em>Verbs</em> the <em>Active</em> were, Or <em>Paſſive</em> ſure,<br/></span>
<span class="i0"><em>Sum</em> to be <em>Neuter</em> could not well endure:<br/></span>
<span class="i0">But this was common to them all to Moan<br/></span>
<span class="i0">Their load of grief they could not ſoon <em>Depone</em>.<br/></span>
<span class="i0">A doleful Day for <em>Verbs</em>, they look ſo <em>moody</em>,<br/></span>
<span class="i0">They drove Spectators to a Mournful Study.<br/></span>
<span class="i0">The <em>Verbs</em> irregular, 'twas thought by ſome,<br/></span>
<span class="i0">Would break no rule, if they were pleaſ'd to come.<br/></span>
<span class="i0"><em>Gaudeo</em> could not be found; fearing diſgrace<br/></span>
<span class="i0">He had with-drawn, ſent <em>Mæreo</em> in his Place.<br/></span>
<span class="i0"><em>Poſſum</em> did to the utmoſt he was able,<br/></span>
<span class="i0">And bore as Stout as if he'd been A <em>Table</em>.<br/></span>
<span class="i0"><em>Volo</em> was willing, <em>Nolo</em> ſome-what ſtout,<br/></span>
<span class="i0">But <em>Malo</em> rather choſe, not to ſtand out.<br/></span>
<span class="i0"><em>Poſſum</em> and <em>Volo</em> wiſh'd all might afford<br/></span>
<span class="i0">Their help, but had not an <em>Imperative Word</em>.<br/></span>
<span class="i0"><em>Edo</em> from Service would by no means Swerve,<br/></span>
<span class="i0">Rather than fail, he thought the <em>Cakes</em> to Serve.<br/></span>
<span class="i0"><em>Fio</em> was taken in a fit, and ſaid,<br/></span>
<span class="i0">By him a Mournful <em class="gesperrt">POEM</em> ſhould be made.<br/></span>
<span class="i0"><em>Fero</em> was willing for to bear a part,<br/></span>
<span class="i0">Altho' he did it with an aking heart.<br/></span>
<span class="i0"><em>Feror</em> excus'd, with grief he was ſo Torn,<br/></span>
<span class="i0">He could not bear, he needed to be born.<br/></span></div>
<div class="stanza">
<span class="i0">Such <em>Nouns</em> and <em>Verbs</em> as we defective find,<br/></span>
<span class="i0">No <em>Grammar</em> Rule did their attendance bind.<br/></span>
<span class="i0">They were excepted, and exempted hence,<br/></span>
<span class="i0">But <em>Supines</em>, all did blame for negligence.<br/></span>
<span class="i0"><em>Verbs</em> Offspring, <em>Participles</em> hand-in-hand,<br/></span>
<span class="i0">Follow, and by the ſame direction ſtand:<br/></span>
<span class="i0">The reſt Promiſcuouſly did croud and cumber,<br/></span>
<span class="i0">Such Multitudes of each, they wanted Number.<br/></span>
<span class="i0">Next to the Corps to make th' attendance even,<br/></span>
<span class="i0"><em>Jove, Mercury, Apollo</em> came from heaven.<br/></span>
<span class="i0">And <em>Virgil, Cato</em>, gods, men, Rivers, Winds,<br/></span>
<span class="i0">With <em>Elegies</em>, Tears, Sighs, came in their kinds.<br/></span>
<span class="i0"><em>Ovid</em> from <em>Pontus</em> haſt's Apparell'd thus,<br/></span>
<span class="i0">In Exile-weeds bringing <em>De Triſtibus</em>:<br/></span>
<span class="i0">And <em>Homer</em> ſure had been among the Rout,<br/></span>
<span class="i0">But that the Stories ſay his Eyes were out.<br/></span>
<span class="i0"><em>Queens, Cities, Countries, Iſlands</em>, Come<br/></span>
<span class="i0">All Trees, Birds, Fiſhes, and each Word in <em>Um</em>.<br/></span></div>
<div class="stanza">
<span class="i0">What <em>Syntax</em> here can you expect to find?<br/></span>
<span class="i0">Where each one bears ſuch diſcompoſed mind.<br/></span>
<span class="i0">Figures of Diction and Conſtruction,<br/></span>
<span class="i0">Do little: Yet ſtand ſadly looking on.<br/></span>
<span class="i0">That ſuch a Train may in their motion <em>chord</em>,<br/></span>
<span class="i0"><em>Proſodia</em> gives the meaſure Word for Word.<br/></span></div>
</div>
<p class="sig">
<em>Sic Mæſtus Cecinit</em>,<br/>
<br/>
Benj. Tompſon.</p>
</div>
</div>
<hr class="tb" />
<p><span class="pagenum"><SPAN name="Page_135" id="Page_135">[135]</SPAN></span></p>
<p>The custom was in Boston—until this century—to
study through the grammar three times before
any application to parsing.</p>
<p>Far better wit than any found in an old-time jest
book was the sub-title of a very turgid Latin grammar,
"A delysious Syrupe newly Claryfied for
Yonge Scholars yt thurste for the Swete Lycore
of Latin Speche."</p>
<p>The first English Grammar used in Boston public
schools and retained in use till this century, was
<em>The Young Lady's Accidence, or a Short and Easy
Introduction to English Grammar, design'd principally
for the use of Young Learners, more especially for
those of the Fair Sex, though Proper for Either</em>. It
is said that a hundred thousand copies of it were
sold. It was a very little grammar about four or
five inches long and two or three wide, and had only
fifty-seven pages, but it was a very good little grammar
when compared with its fellows, being simple
and clearly worded.</p>
<p>The fashion of the day was to set everything in
rhyme as an aid to memory; and even so unpoetical
a subject as English Grammar did not escape the
rhyming writer. In the <cite>Grammar of the English
Tongue</cite>, a large and formidable book in fine type,
all the rules and lists of exceptions and definitions
were in verse. A single specimen, the definition of<span class="pagenum"><SPAN name="Page_136" id="Page_136">[136]</SPAN></span>
a letter, will show the best style of composition,
which, when it struggled with moods and tenses, was
absolutely meaningless.</p>
<div class="poem">
<span class="i0">"A Letter is an uncompounded Sound<br/></span>
<span class="i1">Of which there no Division can be Found,<br/></span>
<span class="i1">Those Sounds to Certain Characters we fix,<br/></span>
<span class="i1">Which in the English Tongue are Twenty-Six."<br/></span></div>
<p>The spelling of that day was wildly varied. <cite>Dilworth's
Speller</cite> was one of the earliest used, and the
spelling in it differed much from that of the
British Instructor. A third edition of <cite>The Child's
New Spelling Book</cite> was published in 1744. Famous
English lesson-books known among common folk
as "Readamadeasies," and book traders as "Reading
Easies"—really Reading made easy—belied
their name. Some had alphabets on two pages
because "One Alphabet is commonly worn out
before the Scholar is perfect in his Letters." It
is interesting to find "Poor Richard's" sayings in
these English books, but it is natural, too, when
we consider Franklin's popularity abroad, and know
that broadsides printed with his pithy and worldly-wise
maxims were found hanging on the wall of
many an English cottage.</p>
<div class="figcenter bord" style="width: 400px;"><br/><SPAN name="easy" id="easy"></SPAN>
<ANTIMG src="images/i045.jpg" width-obs="565" height-obs="450" alt="easy" />
<div class="caption"><p>42</p>
<p class="center">Reading Made Easy.</p>
<p>ceeds with all her train; warm gentle
gales begin to blow, and soft falling
showers moisten the earth.——The surface
of the ground is adorned with
young verdent flowers, the cowslip,
daisy, primrose, and a thousand pleasing
objects spread themselves all around;
the trees put forth their green buds,
and deck themselves with blossoms;
the birds fill every grove with the
charming music of nature; love, tunes
their little voices, and they join in pairs
to build their nests with care and labour;
which, sometimes the playful,
the careless, the giddy boy destroys.
The careful farmer now ploughs up
his fields, and casts the seeds into the
bosom of the earth, and waits for harvest.
Now too, the young and harmless
lambs skip over the grass in
wanton play! The cuckoo sings—and
all nature seems to rejoice.</p>
<div class="poem">
<span class="i0">Trees, which dead did late appear,<br/></span>
<span class="i0">Crown with leaves the rising year;<br/></span>
<span class="i0">Ev'ry object seems to say,<br/></span>
<span class="i0">Winter's gloom has pass'd away.<br/></span></div>
<p class="sig">43</p>
<p class="center">SUMMER</p>
<p>Summer succeeds.—The sun now
darts his beams with greater force, and
the days are at the longest. The flocks
and herds not being able to endure the
scorching heat of the sun, retire beneath
the shade of some spreading tree,
or the side of some cooling stream or
river. The wanton youths betake
themselves to the waters and swim with
pleasure over the liquid surface. Early
in the morning the careful mower
walks forth with his scythe on his
shoulder, and sometimes with a pipe in</p>
</div>
</div>
<hr class="tb" />
<p>Not until the days of Noah Webster and his
famous Spelling Book and Dictionary was there
any decided uniformity of spelling. Professor Earle<span class="pagenum"><SPAN name="Page_137" id="Page_137">[137]</SPAN></span>
says the process of compelling a uniform spelling
is a strife against nature. Certainly it took a long
struggle against nature to make spelling uniform in
America. In the same letter, men of high education
would spell the same word several different
ways. There was no better usage in England. The
edition of Milton's <cite>Paradise Lost</cite> printed in 1688
shows some very grotesque spelling. Therefore it
is not strange to find a New York teacher advertising
to teach "writeing and spilling."</p>
<p>To show that a fetich was made of spelling
seventy-five years ago, I give this extract from a
Danbury school notice:—</p>
<blockquote>
<p>"The advantages that small children obtain at this school
may be easily imagined when the public are informed that
those who spell go through the whole of Webster's spelling
book twice a fortnight."</p>
</blockquote>
<p>The teaching of spelling in many schools was peculiar.
The master gave out the word, with a blow
of his strap on the desk as a signal for all to start
together, and the whole class spelled out the word
in syllables in chorus. The teacher's ear was so
trained and acute that he at once detected any misspelling.
If this happened, he demanded the name
of the scholar who made the mistake. If there was
any hesitancy or refusal in acknowledgment, he kept<span class="pagenum"><SPAN name="Page_138" id="Page_138">[138]</SPAN></span>
the whole class until, by repeated trials of long
words, accuracy was obtained. The roar of the
many voices of the large school, all pitched in different
keys, could be heard on summer days for
a long distance. In many country schools the
scholars not only spelled aloud but studied all their
lessons aloud, as children in Oriental countries do
to-day: and the teacher was quick to detect any
lowering of the volume of sound and would reprove
any child who was studying silently. Sometimes
the combined roar of voices became offensive
to the neighbors of the school, and restraining votes
were passed at town-meetings.</p>
<p>The colonial school and schoolmaster took a firm
stand on "cyphering." "The Bible and figgers is
all I want my boys to know," said an old farmer.
Arithmetic was usually taught without text-books.
Teachers had manuscript "sum-books," from which
they gave out rules and problems in arithmetic to
their scholars. Abraham Lincoln learned arithmetic
from a "sum-book" of which he made a neat copy.
A page from this sum-book is here given in reduced
size. Too often these sums were copied by the
pupil without any explanation of the process being
offered or rendered by the master. The artist
Trumbull recalled that he spent three weeks, unaided
in any way, over a single sum in long division.</p>
<div class="figcenter"><SPAN name="lincoln" id="lincoln"></SPAN> <ANTIMG src="images/i046.jpg" width-obs="377" height-obs="600" alt="Lincoln" /> <div class="caption"><p class="center">Page from Abraham Lincoln's Sum Book</p>
</div>
</div>
<p><span class="pagenum"><SPAN name="Page_139" id="Page_139">[139]</SPAN></span></p>
<p>A manuscript sum-book in my possession is
marked, "Sarah Keeler her Book, May ye 1st, <small>A.D.</small>
1773, Ridgbury." There are multiplication examples
of fifteen figures multiplied by fifteen, and
long division examples of a dividend of quintillions,
chiefly in sevens and nines, divided by a mixed
divisor of billions in eights and fives—a thing to
make poor Sarah turn in her grave. There are
Reductions Ascending and Reductions Descending
and Reductions both Ascending and Descending
at the same time, as complicated as the computations
of the revolutions of the celestial spheres.
There are miserable catch-examples about people's
ages and others about collections of excises, with
"Proofs," and still others about I know not what,
for there are within their borders mysterious abbreviations
and signs, like some black magic. Sainted
Sarah Keeler! a melancholy sympathy settles on me
as I regard this book and all the extended sums
you knew, and think of the paths of pleasantness of
the present pupils of kindergartens; and wonder
what kind of a mathematical song or game or
allegory could be invented to disguise these very
"plain figures."</p>
<p>Sometimes a zealous teacher would write out
tables of measures and a few blind rules for his
scholars. This amateur arithmetic would be copied<span class="pagenum"><SPAN name="Page_140" id="Page_140">[140]</SPAN></span>
and recopied until it was punctuated with mistakes.</p>
<div class="figcenter"><SPAN name="cockers" id="cockers"></SPAN> <ANTIMG src="images/i047.jpg" width-obs="250" height-obs="466" alt="Cockers" /> <div class="caption">
<p class="center">Cocker's<br/>
ARITHMETICK:</p>
<p class="center">BEING</p>
<p class="hanging">A plain and familiar Method, ſuitable
to the meaneſt Capacity, for the full underſtanding
of that incomparable Art, as it is
now taught by the ableſt School-Maſters in
City and Country.</p>
<p class="center">Composed</p>
<p class="hanging">By <em>Edward Cocker</em>, late Practitioner in
the Arts of Writing, Arithmetick, and Engraving.
Being that ſo long ſince promiſed
to the World.</p>
<p class="center">PERUSED AND PUBLISHED</p>
<p class="hanging">By <em>John Hawkins</em>, Writing-Maſter near <em>St.
George's</em> Church in <em>Southwark</em>, by the Author's
correct Copy, and commended to the
World by many eminent Mathematicians
and Writing-Maſters in and near <em>London</em>.</p>
<p class="center"><em>This Impreſſion is corrected and amended, with many
Additions throughout the whole.</em></p>
<p class="center">Licenſed, Sept. 3. 1677. Roger L'Eſtrange.</p>
<p class="center">LONDON,</p>
<p class="hanging">Printed by <em>R. Holt</em>, for <em>T. Paſſinger</em>,
and ſold by <em>John Back</em>, at the black Boy
on <em>London-Bridge</em>, 1688.</p>
<p class="center">Title Page</p>
</div>
</div>
<div class="figcenter bord" style="width: 600px;"><SPAN name="numbers" id="numbers"></SPAN>
<ANTIMG src="images/i048.jpg" width-obs="600" height-obs="375" alt="Alphabet" />
<div class="caption">
<p>No. 1 First Picture Alphabet.<br/>
No. 2. Second Picture Alphabet.<br/>
No. 3. Third Picture Alphabet.<br/>
No. 4. Lessons in One Syllable.<br/>
No. 5. Lessons in Numbers.<br/>
No. 6. Words in Common Use.<br/></p>
<p>One Two Three Four Five Six Seven Eight Nine Ten Eleven Twelve<br/>
I. II. III. IV. V. VI. VII. VIII. IX. X. XI. XII.<br/>
1 2 3 4 5 6 7 8 9 10 11 12<br/></p>
<p>The Clock has two hands; a long one and a
short one. The short hand is the hour hand,
and the long one is the minute hand.</p>
<p>The short or hour hand moves very slowly,
and the long or minute hand goes all round
the Clock face while the hour hand goes from
one figure to the next one.</p>
<div class="center">
<table border="0" cellpadding="4" cellspacing="0" summary="time">
<tr><td align="left"> </td><td align="right">2</td></tr>
<tr><td align="left"> </td><td align="right">2</td></tr>
<tr><td align="left"> </td><td align="right">—</td></tr>
<tr><td align="left">Two and two added together make</td><td align="right">4</td></tr>
<tr><td align="left"> </td><td align="right">1</td></tr>
<tr><td align="left"> </td><td align="right">—</td></tr>
<tr><td align="left">One and four together make</td><td align="right">5</td></tr>
<tr><td align="left"> </td><td align="right">2</td></tr>
<tr><td align="left"> </td><td align="right">—</td></tr>
<tr><td align="left">Five and two together make</td><td align="right">7</td></tr>
<tr><td align="left"> </td><td align="right">1</td></tr>
<tr><td align="left"> </td><td align="right">—</td></tr>
<tr><td align="left">Seven and one together make</td><td align="right">8</td></tr>
<tr><td align="left"> </td><td align="right">2</td></tr>
<tr><td align="left"> </td><td align="right">—</td></tr>
<tr><td align="left">What are eight and two? They make</td><td align="right">10</td></tr>
<tr><td align="left"> </td><td align="right">10</td></tr>
<tr><td align="left"> </td><td align="right">—</td></tr>
<tr><td align="left">Twice ten make</td><td align="right">20</td></tr>
<tr><td align="left"> </td><td align="right">5</td></tr>
<tr><td align="left"> </td><td align="right">—</td></tr>
<tr><td align="left">Twenty is a score, and five score</td><td align="right">100</td></tr>
</table></div>
<p class="center">Battledore, "Lessons in Numbers"</p>
</div>
</div>
<p>Many scholars never saw a printed arithmetic;
and when the
master had one
for circulation
it was scarcely
more helpful
than the sum-book.
One of
the most ancient
arithmetics was
written by the
mathematician
Record, who
lived from the
year 1500 to
1558. He is
said to have invented
the sign
of equality =,
but there is nothing
in his book
to indicate this
fact. The terms
"arsemetrick"
and "augrime"<span class="pagenum"><SPAN name="Page_141" id="Page_141">[141]</SPAN></span>
are used in it, instead of arithmetic. Many curious
and obsolete rules are given, among them, "The
Golden Rule," "Rule of Falsehood," "The Redeeming
of Pawnes of Geams," "The Backer
Rule of Thirds." Here is a simple problem under
the latter:—</p>
<blockquote>
<p>"I did lend my friend <sup>3</sup>⁄<sub>4</sub> of a Porteguise 7 months
upon promise that he should do as much for me again,
and when I should borrow of him, he could lend me but
<sup>5</sup>⁄<sub>12</sub> of a Porteguese, now I demand how long time I
must keep his money in just Recompence of my loan,
accounting 13 months in the year."</p>
</blockquote>
<p>Rhyme is used in this book, in dialogues between
the master and scholar. Copies of <cite>Cocker's Arithmetick</cite>
are said to be very rare in England, but I
have seen several in America. An edition was published
in Philadelphia in 1779. The frontispiece
of English and American editions shows the picture
of the mathematician surrounded by a wreath of
laurel with the droll apostrophe:—</p>
<div class="poem">
<span class="i0">"Ingenious Cocker! Now to Rest thou 'rt Gone<br/></span>
<span class="i1">Noe Art can Show thee fully but thine Own<br/></span>
<span class="i1">Thy rare <em>Arithmetick</em> alone can show<br/></span>
<span class="i1">What vast Sums of Thanks wee for Thy Labour owe."<br/></span></div>
<p>"Ingenious Cocker," as one would say "Most
noble Shakespeare!" It is hard indeed to idealize or
write poetical tributes to one by the name of Cocker.<span class="pagenum"><SPAN name="Page_142" id="Page_142">[142]</SPAN></span>
It gives us a sense of pleasant familiarity with any
one to know that he is "well acquaint" with one
of our intimate friends, so I feel much drawn to
ingenious Cocker by knowing that he was well
known of Sam Pepys. He was a writing master,
and did some mighty fine engraving for Pepys, who
calls him ingenuous, not ingenious. It is rather a
facer to learn from the notes in the Diary that
Cocker had nothing whatever to do with his Arithmetic,
which was a forgery by John Hawkins.</p>
<p>The age that would rhyme a grammar would
rhyme an arithmetic, and Record's example was
followed and enlarged upon. Thomas Hylles
published one in 1620, <cite>The Arte of Vulgar Arithmiteke</cite>,
written in dialogue, with the rules and
theorems in verse. This is an example of his
poesy:—</p>
<p>"<span class="smcap">The Partition of a Shilling into his Aliquot Partes</span>.</p>
<div class="poem">
<span class="i0">"A farthing first finds forty-eight<br/></span>
<span class="i1">A Halfpeny hopes for twentiefoure<br/></span>
<span class="i1">Three farthings seeks out 16 streight<br/></span>
<span class="i1">A peny puls a dozen lower<br/></span>
<span class="i1">Dicke dandiprat drewe 8 out deade<br/></span>
<span class="i1">Twopence took 6 and went his way<br/></span>
<span class="i1">Tom trip a goe with 4 is fled<br/></span>
<span class="i1">But Goodman grote on 3 doth stay<br/></span>
<span class="i1">A testerne only 2 doth take<br/></span>
<span class="i1">Moe parts a Shilling cannot make."<br/></span></div>
<div class="figcenter bord" style="width: 600px;"><br/><SPAN name="webster" id="webster"></SPAN>
<ANTIMG src="images/i050.jpg" width-obs="600" height-obs="427" alt="Webster" />
<div class="caption"><p class="center">Noah Webster's "American Selection"</p>
</div>
</div>
<p><span class="pagenum"><SPAN name="Page_143" id="Page_143">[143]</SPAN></span></p>
<p>In 1633 Nicholas Hunt added to his rules and
tables an "Arithmetike-Rithmeticall or the Handmaid's
Song of Numbers," which rhymes are simply
unspeakable. These attempts did not end with the
seventeenth century. In 1801 Richard Vyse had
a <cite>Tutor's Guide</cite> with problems in rhyme.</p>
<div class="poem">
<span class="i0">"When first the Marriage Knot was tied<br/></span>
<span class="i5">Between my Wife and Me<br/></span>
<span class="i1">My age did hers as far exceed<br/></span>
<span class="i5">As three times three does three.<br/></span>
<span class="i1">But when Ten years and half ten Years<br/></span>
<span class="i5">We man and wife had been<br/></span>
<span class="i1">Her age came up as near to mine<br/></span>
<span class="i5">As eight is to sixteen.<br/></span>
<span class="i1">Now tell me I pray<br/></span>
<span class="i5">What were our Ages on our Wedding Day?"<br/></span></div>
<p>The earliest date of the old rhyme,—</p>
<div class="poem">
<span class="i0">"Thirtie daies hath September, Aprill, June and November,<br/></span>
<span class="i1">Februarie eight and twentie alone, all the rest thirtie and one."<br/></span></div>
<p>is given by Halliwell as 1633. I have found it in
an old arithmetic printed in London in 1596. The
lines beginning "Multiplication is vexation," are not
an outburst of modern students. They are found
in a manuscript dated 1570 circa.</p>
<div class="poem">
<span class="i0">"Multiplication is mie vexation<br/></span>
<span class="i1">And Division quite as bad,<br/></span>
<span class="i1">The Golden rule is mie stumbling stule,<br/></span>
<span class="i1">And Practice makes me mad."<br/></span></div>
<p><span class="pagenum"><SPAN name="Page_144" id="Page_144">[144]</SPAN></span></p>
<p>After the Revolution, in new and zealous Americanism,
text-books by American authors outsold
English books. The blue-backed spelling book of
Noah Webster drove Perry and Dilworth from the
field. Bingham and Webster took advantage of
the need of suitable school-books and divided the
field between them. Webster's Spelling Book outstripped
Bingham's <cite>Child's Companion</cite>, but Bingham's
Readers, such as <cite>The American Preceptor</cite> and
<cite>The Columbian Orator</cite> held their ground against
Webster's. Not one of Bingham's books proved
a failure. <cite>The Columbian Orator</cite> contained seven
extracts from speeches of Pitt in opposition to
the measures of George III., it had speeches by
Fox and Sheridan, part of the address of President
Carnot at the establishment of the French Republic,
and the famous speech of Colonel Barré
on the Stamp Act.</p>
<p>Nicholas Pike of Newburyport, Massachusetts,
wrote an arithmetic that routed the English books
of Cocker and Hodder. It was studied by many
persons now living. It had three hundred and
sixty-three barren rules, and not a single explanation
of one of them. Many of them would now
be wholly unintelligible to scholars, though no more
antiquated than are the methods; for instance, this
rule in Tare and Trett:—</p>
<p><span class="pagenum"><SPAN name="Page_145" id="Page_145">[145]</SPAN></span></p>
<blockquote>
<p>"Deduct the Tare and Trett. Divide the Suttle by
amount given; the Quotient will be the Cloff which
subtract from the Suttle the Remainder will be the
Neat."</p>
</blockquote>
<div class="figcenter bor" style="width: 433px;"><SPAN name="assistant" id="assistant"></SPAN>
<ANTIMG src="images/i051.jpg" width-obs="433" height-obs="600" alt="assistant" />
<div class="caption"><p class="center">"The Little Reader's Assistant," by Noah Webster</p>
</div>
</div>
<p>The tables of measures were longer than ours
to-day; in measuring liquids were used the terms
anchors, tuns, butts, tierces, kilderkins, firkins, puncheons,
etc. In dry measure were pottles, strikes,
cooms, quarters, weys, lasts. Examples in currency
were in pounds, shillings, and pence; and doubtless
helped to retain the use of these terms in daily trade
long after dollars had been coined in America. This
labored book, aided by the flattering testimonials
of Governor Bowdoin, of the Presidents of Harvard,
Yale, and Dartmouth Colleges, and of that
idolized American, George Washington, gained wide
acceptance.</p>
<p>I have examined with care a <cite>Wingate's Arithmetic</cite>
printed in 1620, which was used for over a
century in the Winslow family in Massachusetts.
"Pythagoras his Table," is, of course, our multiplication
table. Then comes, the "Rule of Three,"
the "double Golden Rule," the "Rule of Fellowship,"
the "Rule of False," etc., etc., ending with
"Pastimes, a collection of pleasant and polite Questions
to exercise all the parts of Vulgar Arithmetick."
Here is one:—</p>
<p><span class="pagenum"><SPAN name="Page_146" id="Page_146">[146]</SPAN></span></p>
<blockquote>
<p>"This Problem is usually propounded in this manner,
viz. fifteen <em>Christians</em> and fifteen <em>Turks</em> being at Sea in one
and the same Ship in a terrible Storm, & the Pilot declaring
a necessity of casting the one half of those Persons into the
Sea, that the rest might be saved; they all agreed that the
persons to be cast away should be set out by lot after this
manner, viz. the thirty persons should be placed in a round
form like a <em>Ring</em>, and then beginning to count at one of the
Passengers, and proceeding circularly, every ninth person
should be cast into the Sea, until of the thirty persons there
remained only fifteen. The question is, how those thirty
persons ought to be placed, that the lot might infallibly fall
upon the fifteen <em>Turks</em> & not upon any of the fifteen <em>Christians</em>?
For the more easie remembering of the rule to
resolve this question shall presuppose the five vowels, a, e,
i, o, u, to signifie five numbers to wit, (a) one, (e) two, (i)
three, (o) four, and (u) five; then will the rule it self be
briefly comprehended in these two following verses:—</p>
<div class="poem">
<span class="i0">From numbers, aid and art<br/></span>
<span class="i0">Never will fame depart.<br/></span></div>
<p>In which verses you are principally to observe the vowels,
with their correspondent numbers before assigned, and then
beginning with the <em>Christians</em> the vowel <em>o</em> (in <em>from</em>) signifieth
that four <em>Christians</em> are to be placed together; next unto
them, the vowel <em>u</em> (in <em>num</em>) signifieth that five <em>Turks</em> are to
be placed. In like manner <em>e</em> (in <em>bers</em>) denoteth 2 <em>Christians</em>,
<em>a</em> (in <em>aid</em>) 1 <em>Turk</em>, <em>i</em> (in <em>aid</em>) 3 <em>Christians</em>, <em>a</em> (in <em>and</em>) 1 <em>Turk</em>,
<em>a</em> (in <em>art</em>) 1 <em>Christian</em>, <em>e</em> (in <em>ne</em>) 2 <em>Turks</em>, <em>e</em> (in <em>ver</em>) 2 <em>Christians</em>,<span class="pagenum"><SPAN name="Page_147" id="Page_147">[147]</SPAN></span>
<em>i</em> (in <em>will</em>) 3 <em>Turks</em>, <em>a</em> (in <em>fame</em>) 1 <em>Christian</em>, <em>e</em> (in <em>fame</em>)
2 <em>Turks</em>, <em>e</em> (in <em>de</em>) 2 <em>Christians</em>, <em>a</em> (in <em>part</em>) 1 <em>Turk</em>.</p>
<p>"The invention of the said Rule and such like, dependeth
upon the subsequent demonstration, viz. if the
number of persons be thirty, let thirty figures or cyphers be
placed circularly or else in a right line as you see:—</p>
<p class="center">ooooooooooooooo."</p>
</blockquote>
<p>I trust the little Winslows and their neighbors
understood this sum, and its explanation, and that
the Christians were all saved, and the Turks were
all drowned.</p>
<p>Geography was an accomplishment rather than
a necessary study, and was spoken of as a diversion
for a winter's evening. Many objections were
made that it took the scholar's attention away from
"cyphering." It was not taught in the elementary
schools till this century. <cite>Morse's Geography</cite> was
not written till after the Revolution. It had a
mean little map of the United States, only a few
inches square. On it all the land west of the Mississippi
River was called Louisiana, and nearly all
north of the Ohio River, the Northwestern Territory.
Small as the book was, and meagre as was
its information, many of its pages were devoted to
short, stilted dialogues between a teacher and pupil,
in which the scholar was made to say such priggish
sentences:—</p>
<p><span class="pagenum"><SPAN name="Page_148" id="Page_148">[148]</SPAN></span></p>
<blockquote>
<p>"I am very thankful, sir, for your entertaining instruction,
and I shall never forget what you have been telling me.</p>
<p>"I long, sir, for to-morrow to come that I may hear more
of your information.</p>
<p>"I am truly delighted, sir, with the account you have
given me of my country. I wish, sir, it may be agreeable
to you to give me a more particular description of the
United States.</p>
<p>"I hope, sir, I have a due sense of your goodness to me.
I have, sir, very cheerfully, and I trust very profitably,
attended your instructions."</p>
</blockquote>
<p>A rather amusing <cite>Geographical Catechism</cite> was
published in 1796, by Rev. Henry Pattillo, a Presbyterian
minister of North Carolina, for the use
of the university students. It is properly and
Presbyterianly religious. It gives this explanation
of comets:—</p>
<blockquote>
<p>"Their uses are mere conjecture. Some judge them
the seats of punishment where sinners suffer the extremes
of heat and cold. Mr. Whiston says a comet approaching
the sun brushed the earth with its tail and caused the
deluge, and that another will cause the conflagration."</p>
</blockquote>
<p>Let us not be too eager to jeer at these ancient
school-books. Pope wrote nearly two centuries ago:</p>
<div class="poem">
<span class="i0">"Still is to-morrow wiser than to-day<br/></span>
<span class="i1">We think our fathers fools so wise we grow.<br/></span>
<span class="i1">Our wiser sons no doubt will think us so."<br/></span></div>
<p><span class="pagenum"><SPAN name="Page_149" id="Page_149">[149]</SPAN></span></p>
<p>Perhaps the series of text-books which have
chased each other in and out of our nineteenth-century
public schools under the successive boards
of commissioners and school committees who have
also flashed briefly on our educational horizon,
may cut no better figure two centuries
hence than do those of
Lilly and Pike and
Cocker.</p>
<hr class="chap" />
<p><span class="pagenum"><SPAN name="Page_150" id="Page_150">[150]</SPAN></span></p>
<div style="break-after:column;"></div><br />