9 •■•) ^ ^ •^ f'7 - ( ■ ) ■ .\ •) f T V •>• f >• •;•• •. i-.i- • ■■ •>- i^-i^-i-" •■•..;•• -^. t,.- j^. ! .. , NIX ON S ^m^ m i xz// |[5Uiljtant in jjemembeping Jate?, j ^ *•* DISTANCES (IK THi: ^LAM/IS, | HEIGHTS OF MOUNTAINS. AllUIDiiEl) MKTHOl) OF \VJIITIX(; '*,. ' .\ ( If AND SH()\V1N(J HOW CHILDREN CAN WE TAl'iniT | \^ •> TO RECOLLECT THEIR TABLES I'.V \ <) ^> FEW HOUR'S STUDY. ^ 4 4 4 i -> -> ''1 r-. .^"^'e^. TORONTO: ONTARIO VV'/KKMAN OFFlrK, 124 BAY vH;KET, 187o. l> •>• i>- •>-5>- v" * ^' £^*'t>"- "t*" '^" i>- ?>• ^<^- ?^" !t^~* t^-'5^*' BIBLIOTHEQUB DE LA VILLE DE MONTREAL COLLECTION GAGNON 29 join I'orme ir.«r the comnnencenuMit oi' words, <'iiid then a shall bo understood MS figure 1, r fii^ure 2, / fie Alphabet will be as follows: NUMKHIC ALPllAliET. b e 1 d f 2 9 h 3 / m 4 n r p h 5 G VOWELS. s J 7 t V 8 w qu 9 y X a 1 e 2 % 4 u 5 Let it be supposed that the key of letters representing numbers are remembered, the next step to be taken will bo to observe the following suirgestion : From the original name, let it be a City, Battle, Plauet, Eiver, seek in the name an idea that sounds like it. Kxaujple : Buttle of Brandywine. Brandywine convoys to the mind no idea ; Brandy was made wine does. The idea of brandy being made wine could be converted into a thousand uses, but the phrase " brandywine" not one. The date given is 1777. I see no connection between the date and the battle mentioned, neither do I between the date and the idea taken from the name of the battle, but by looking over the ke3' of letters as given, we find that c(. stands for 1 And < for 7 ; now, as there are three sevens given in the date 70 have three s's, so the word jisses could l»e substituted for (the date, and a (•(unioctiori could bo Hi-en between those who jehould u^e I>rand3' th;it had been made wine by hu iposiii^; they [hnd made a^^(*^ of theniHclvcs. A> I will iiivc one huiidred [exanipies, sufficient, I think, to acMjuaint any one with the plan, it will not be necessary to sny anything mure about it. SKITLKMENT OK THE STATlvS. Muino 1625. This State (Maine) <;;ives the idea of the ImJirie of some animal. Suppose we will take the mane of u [fo.K, and c.ill it a red one. The sentence "a red one" translates the 25 — a standini;- for 1, ; for 6, d for 2, n for 5. New Hamp-^hiro, scdtled 1628. In this State (Hampshire) we ^ot the .sound of ham. How easily to iHi!i<;iiie the sottiers of the State in buildini? the tirst bridge, they sat down and eat a piece of ham on it. Hridire "jives the date of settlement. The wor.ls thit «ifives the dates will be in italics. Vermont, 1724. Hei'O we jjet the expression mount. Mount on « saddle, it you will. Very frequently 1 let the century be understood, and where two letters of the sime value occur but one of them -'ire used ; a sudd/e would jjive 1724. Massachusetts, 1620. In ^oing to mass it is customary to get readt/. Rhode Island, 1631. Riding through the Island on a car huh. Connecticut, 1633. Cut a ragg. The word rag is spelt ragg when applied to rough stones. Maryland, 1634. Marry in land, where we might regale. District of Columbia, 1790. Conceiving the government to originate at this point, or its influence is to «a;aisy (crazy). Wisconsin, 1830. Consign Athy. Illinois, 1749. We might have been taken ill in Illinois, and our recovery was slow. THE INAUGURATION OF THE PRESIDENTS. In those examples the century w«l', be understood. Washington 1789. Hia countrymen could not bestow on him ft greater favor than to make him their first President. AdaniH, 1797. AduiuiBto be Prosidenl, if he lian to«yuet3«e (Hqueeze) in. Jett'erson, 1801. Would 'jo President. Madison, 1809. Mad son. A nind hoii would nuturully make u mad expression. Whon JisUcd if ho would like to b« Prenidcnt, he should reply in German unw. Munroe, 1817. Man roo. To be successful in our enter prize we will have to row without ceasing ; cea»e. John Quincy Adams, 1825. Dames tZine. Jacknon, 1828. Jacksons are few. Van Buren, 1837. You ran to the White //ou«e. Harrison, 1841. Hurry son ; /ace quickly. Tyler, 1841. Tiles are used as a covering, ho also is a tomb . Tiivlor, 1849. Some tailors are low. Buchanan, 1857. Cannons when they explode make a noi«e> Filmore, 1850. Fill more; ask the question will it f*ay. Lincoln, 1861. Lin can free the race. Johnson, 1865. Some politicians think they were HOmewhat taken in by thi.s President. REMEMBERING THE DISTANCES OF THE PLAVETS. They will be understood as reading millions of miles : Mercury, 37. Curry in a honse, Venus, 69. Venice turpentine is good when applied to that part of the flesh made raw by some accident. Mars, 144. Our pleasure is somotimes marred by an an usual noise, say a bell for example. Jupiter, 496. Jew pity her; why? because she became ;ou;er in the estimation of her race. Saturn, 906. Sat io turn. The object to be weighed or way r. Hershell, 822. Her shell is a tuft (tough) one. 8 A FEvV PROMISCUOUS KXAMPLES. Arelibisliop Iliiii'lies dlod 18G4. Hews, or one who hews. The ide.i conveyed as liewinir a /•,n7. Battle of New Orleans, 1815. Or leans on a cane. Napoleon Hi. died 1871]. Jjay on si^e. A. Jlannltot), l)()rn 1757. Ill in town through jrAiis. Byron, born 178o Hoy i"nn on the stug^'. Mary, Queen ot Scots, beheaded, 1587.. She had to remove her bonnet (/>()wne/.s.) Bonaparte born 17(59. He bore a part ot sorrow. lie died in 1821. lie did turn his /, re on iiis niisfoitunes. Wulpole born 1()78, died 1757. A pole resting against the Wall, and tVotn thtni'siws. Penn, the founder of Pennsylvania, was born 1()44, died 1718. lie, Penn, used a pen in writing the laww to govern both a ridix/m and o. sect. In Ancient History the date of the Deluge occuri-ed B.C. 2348. Why not f'oel it was pouring down rain on us, and we would beseechingly say. da hull The Kingdom of I.^ruel fell, 588 B. C. Israel ; is it real that it stood on a p'wot. T think f'roai the examples now ,^iven, any one can prosecute the system to advanta>te of time, when an occurrence comes before you that u striking resemblance does not up])ear, remember the fact by the ordinary method. THE PLAN TO ASSIST CHILDREN IN REMEMBERING THEIR TABLES. To assist children in remembering the Multiplication Table, I first hold a short conversation with them on that subject. I say to them multiplication means to ascend, to advance or go up. Division conveys to the mind an opposite idea, to eeperate, or lessen a quantity. That a correct impression may i 9 I be convoy id to tlic clnld u^. re leas' Hjrnre as? tbo base or multiplier of any otiier. And should ;my question be iiiven them where the higher number is useil a> the luulliplier. the)' :ire to reverse it. 5 (irno^ 4 is ur)t a proper quention to be put to the child to lomemlH'r, on the ground 4 being less than 5 brings it more jiroperly under the head of division. Why not state at once tiie question as it ought to be, 4 times 5, and when the product «»r those two figures are remembered, reversing them, 5 times gives the snme laet. What 1 have said as regards the 4 and 5 hold.^ good with all other figures connected with the Multi- plication Table, The square of a number being the same number repeated, wo take the square of each one of the digets us the foundation, or starting point, in remembering the multiple of the square number by any other as far as 9. 1 cannot conceive why in the standard multiplication table require of children answers to be remembered beyond the square of 9. Why introduce 10 timcft, 11 limes, 12 times, and not 13 times, 14 times, 22 times, and up to 100 ? Every educator knows it ih only necessary to remember the product of any one figure by another. When we go beyond that there is no stoppinjj place. r will now .show how a child can be taught to remember the 81 facts connected with the multiplication table. To do so I require of them to remember, by repeating over time and again, until every letter used as the substitute for the number comes to the mind as leadilv as the letters in a word. ALPHABET. b 4 9 I n z s f w y 1 2 3 4 6 6 7 8 9 10 The teacher, lo be satistiod thuae ioLtur.s are well leim ui l>ore(l, should put qacstioiis to the clarssa> ToIIowk : What tij^ure doen letter r stand for? Answer. — 6. What figure does letter w ntnud for? Answer. — 9. Then let the con^ihinatioriK be brought in. Question. — What would the word bad stand for in figures? [Mere let the teacher explain, the first letter b in bad stands for 1, and the last letter d stands for 2, hejicr bad nnust stand for 12.] ft would be advisable to select tlio *]() key words in this exercise. p]xample. — The key word tor H times 8 is lot. Uequiie ot the pupils to translate the word lot into fii^urcs : I 4, I 8. Say to them the vowel letters have no significant value. I would advise not to tell the children the final intent of thost ke}' words until the proper time. Fifteen minutes is lon^- enough foi* any one lesson. If thought prudent the general terms whicli W(! have selected as the foundation for remem beving each division, might be given in connection with the first 'esson. There is no object to be remembered for on( time, because the answer to the question is given at the same time. Tn 2 times we hive selected Dolt lee; in 3 times. Gun; in \ times. Lamb; in 5 times, a Nun; in 6 times, a Eiver; in 7 times, a Ship; in 8 times, a Tree; in 9 times. a Watch. Intimate to the scholars, when "ny question is given them in 4 times, they are to depend upon the stv^ry to be told thent iibonl a Lamb, and so on of 6 times River, etc. Thave found it a very good way to exercise by the following method : Qucbtiou. — b times tJ. Answer. — (Quick) River. Question. — 3 times 3. Answer. — (All together) Gun. QufcstioiK — 9 tinics 9. Answer. — Watch. n It* the teacher csui, when proposint^ any times, gel the chiss to think of I he letter correspond iri;it letter must be the first in the spellin*,' of the object. 'F'hus. whet) we s'ly 7 times: S stands for 7. hence s !ov 7 and s tor ship. Much can be gained in this practice. I lind it be-: to cormncncc in 9 times. ;is in that division tkere i-^ lint one object t'» remember. Now, in every one of the livi-ions. make (0» the bhick board, a drawing similar to the _ one liefore you. In the square of the times I j I you ,1 re about illustiMtin;j; placo your object. ' ' III () time> we are to huve our watch in the 9th .s({uare. Now, you may tell the chiss you ' 1 9 I dropped y-Mir watch in iitnh of water, if you _'-. ' please. You can now ask them to give the word that belong.^ to watch. Answer : Tub. Request of ;hem lo translate tub— < 8, b 1—81. Let it be distinctly understood that this is the only fact to be remembered for 9 limes. When any question is given below the square of 9 iliey are to reverse it. In 8 times, where we have a Tree, ha> lo the class you want a peculiar tree; you want one that will do to make a rnU and produce .seerf. Rdil and seed give tiie answers to 8 and 9 of 8 times As our key words increase us we descend, I have thought of arranging them in short ^lories. In seven times, a Ship is our foundation word. The .-^tory is, u ship sails north under a low rig. The wordB that i^ive the several answers are low, north and rig. To locate ihose words, make the plural ot low, cutoff the h in north, iujd annex the w in rig, by saying " we rig." River is the foundation word of six times. The story is: Tlie rive iVi/e has toads and a lot of gar in it. The letters italicised gives the answers, and the last letter the square. Nun, the foundation word for five times. The words are d\ne, gRy, gea7is, fye, line. r/iiub. the foundation word for four times. The words are 12 /'ir/'o, (/at/, '/(>/fl;»r. '/jj^o.«<, aoo,/ at, (/vow. Tho trioJier will ha\e to rnaoufaolure n story out of tlioso woivN. (fUii, tor tluvci times. The ^un was a Mnto oiu*. There wah* a dispute between six men as to wlioui it helonged. Their names are as follows ; ftee'i^el, hen. 6eariite, />i^o. To incorporate those words into a kind ol story I would do it in this way ; I should commence by telling them a tide. The tale would consiht of lli^ quali- ties; one was t,o />i^e ; he was constantly in :i /a'/e ; he was a brute; he was rtuhject to the J)kniH , In; had ii ln\d yai-; the last time 1 saw him thero was a boij on hi.-* baek. In ten times, we sii> to the class annex the cipher when the sum is multiplied. This .->Ii(iu!d ho explained on the board. In eleven timeb, wlnai the sum given is below the square of eleven, repeat the statement twice. When the square is required, and number^ beyond the square, add the figure.-^ togelhei" and the sum write in tho middle. Example: 11 times 11 ; one and one arc two; the 2 place betwee?i the twt» oiies, thu.>, 121. 1 1 lime> 52 ; 5 and 2aie 7 ; the sum 7 written between the 5 and 2 would read 572. When the combination exceeds 10, add the one to the left-hand figure. In multiidyiug by 12, the plan is this: The product of th*- last figures are disposed of as follows : the first one of the tw follows: 46783 by 16. 46783 In the execution of this sum I commenced by saying 16 six tlirees are 18; the 8 I set down, and the one 1 added to the three in the multiplicand ; I then said 748528 G times P ar'.- 48 and 4 are 52 ; the 2 I set tij^^ureH. When u)^in<; tliree tiiriires uk tht^ tnultipli«'j . wc pur^u*^ tl. lollovviog method : G543 The niultiplicaiid now f'e(5otn(>s thr multiplier ; 312 I) tiinCH 12 are 3r ; the <> set down and the i> carried and added to the multiplier of 4 time^ 12 tiro 48 and 2041416 8 are 51 ; the 1 set down and the 5 carried and added to the 5 times 12 are 65 and 3 time>. 3 are ; 65 and }> are 74; th( 4 iw set down and the 7 ailded to 6 ;iuie» 12 are 72 ; 72 a;.d 7 are 79, and 3 times 4 are 12; 79 and 12 are 61 ; the 1 set down and tlia 9 add to 3 times 5 arc 15 and Dare 24; the 4 set down and the 2 add to 3 limes (i are 18 and 2 are 20; the 20 Het down, when you huve the ubovt- example. To multiply readily by three or tour tigurew, wc should com mit to memory a multiplication table extending; to 100. That is, we should remember as far as nine of the given factoi". ilow to do thi», 1 will explain in the latter part oj" this nork. 4567 2336 10668512 I commmitted myself to memory the answers to as far as 9 ol 23 i imes, uiso of 36 times ; having done so, I um prepared logive the product of any number of figures in a single line, with just about fismuoh ease as were 1 to multiply by the siuiifle figures. 1 will go over this sum as I did it, — it being the last example in multiplication : 7 times 36 are 252, the 2 set down 25 add to 6 time 36, 216 ; 216 and 25 are 241 ; the 1 set down, and the 24 add to 5 times 36, 180 ; 180 and 24 are 204, and 7 times 23 are 161 ; 161 and 204 are 365 ; the 5 set down, the 36 add to 4 times 36, 144 and 36 are 180, and 6 times 23, 138 and 180 are 318 ; the 8 set down, the 31 add to 5 times 23, 115; 115 and 31 are 146; the 6 set down and the 14 add to 14 '{ lirIK;^ '2H. !)2 ; !)2 .mmI 14 art- MH\. whicli (or the several iiKiiiths. Tljey are as Iblh^vvs: June has jirj indiee of I; Se|i- tt.'Uibei' and heeernber, 2; April and .luly, 3; January and (Jclober, 4 ; May, 5 ; August, (I ; F'jbrnary, March and No- v.-n)l»er, 0. In addition to this, I have also remembei-ed tlie iiidieert of the several years iri the century. Now, when Jiii} statennent is ^iven in the ujonth ol June I add 1 to the sum: ihut is, it you say the Gth of June I add 1 to (i ; should you .<>ay the l!Jlh of the same mouth I add 1 ; whould you say Se[>- tembor or December, I would add 2: or, in so many words, whatever month is given i add the Hi^ure of that month. And as the years also have an indice, J likewise add the indice ol the year. 1 ilien divide the amount by 1, and the remainini: number I call the day ot the week When there is I over 1 cull it Sunday because Sunday is the first day of the week ; when ihere are 2, I call it the second, or Monday ; 3, the third or Tuesday; 4, the fourth or Wednesday; 5, the fifth or ThuPb- day; 6, the sixth or F'riday ; and when it divides even I call it Saturday. There iw but one exception to the rule. In the months of .January and February of leap year call the Hirm one leHs. The iiulice of this year, 1875, is 1, wanted the 26ch April this year. April 26 Indice of April. . 3 Indice of year.... 1 1)30(4 28 2 — Monday. 15 riie «tli of Auj^ust this year: August fi Ihdit.'.e of Aujrust .0 hifiice of vofir 1 7)13(1 7 ♦)— Kridiiy \N lv\SV VlF/rHol) OK i;i:MKMHKIilN<; I'HK SKVKK.AI. INDICKS OF THF YEARS Make ;i selcfUion of one limidrod words, ;iri".'ini;iii«; thoiii so as the first letter or letters of the word will represent the ycnr. tnd the last letter f the word to express 1 he indice of th»' year. This proposition e;ui be only und'Tstood Hv t}i()S«' wit • have committed to memory the Alphabet ot Letter's airreeiuu with numbers. I will give ii table of words myself, leaving it discretional with otiiers to frame a better on.- 16 TABLE Oh WORDS. = i: '^ ji.sb ^' ' ■St ;3 ■ ■t. -ti Syrul'i.l. Symbol. .2 53- ^.«: 00 4J fa s Symbiil. l'^' 1 a^ 1 'K_, W^ OK- .*;cj e . — . — .— tiwM ' t <* — .. ._ ^ IS' Hens. t 1868 Rates. i ••1 Daof. 1 I i, 3(), Oard. 2 69 Raw, b. I :V (;a.l. ; 2 37 Hash. 3 70 Sized. 2 4i Maul 1 4 ' 38J Hotel. 4 71 Sobag*!. 3 f) I'in. ! 5 ij 39! (;own. 5 1 72 Sadden. 5 «i| Rak. 6 ;, 40! Uys. 4 73 Sugar. 6 ?■ Soan. 7 \\ 41! I>ace. 1 1 74 Sails. h 'load. 1 2 II 421 Led. 2 > 75 Suob. I J)' ^^'ig. ! :i , 43; I^g. ]} U\ Maulin. 3 , 76 Surge. 3 101 Axel i 4 ^ i 77 Siasel. 4 ir Bobin. ! 5 j 45' Link. 6 78 Satin. 5 I -J 1 7 , 46 l.«ikeB. 7 : 79 Saw, her. 6 i;i Baa. i 1 '! 47 La88, c. I 80 Tax, I). 1 14 Hlood ! 2 i 48 i Lath. 3 81 Tubed, 2 15 Bim^. • > 40, Ijowel. 4 82 Ted, age. 3 k; Bf.ni. • 5 !' 50 Pay, on. 5 83 Vigil. 4 17 lirtsL. : ; 51 Packer. 6 84 Tiler. 6 18 liu;itft. 1 52 Pad, c. I , 85 Tina. i<'(inf(l. i '^ 5(> Park. 6 i 89 Town. 5 23 i 1 >a/irifer. ; 6 ;' 57! Pass. 7 i 90 Waxer. 6 24, JJuluc. 1 1 ; 58, I'at, b. 1 , 91 VVebH. 7 2r» nitK'ti. 1 2 ;| 59 Pawed. 2 1 92 Weed. 2 20 I>rai:. i 3 60 Kayl. 4 : • 93 Wig. 3 l>.iftt'l. i 4 ii 61, IJobiu. 5 i 94 Well. 4 2S' r>!tor, 1 (! 62: Readfir. 6 , 95 Wine. 5 291 1 >aWH, i 7 631 Rags. 7 i 1 96 Wires. 7 ;;(• ilii>, e. : 1 ,; 64 i Reeled. i ^* 1 97 Was, b. 1 ;;i' Hubi3r> H(»\N i >h Fliillil^. Let UH take the following: - 7 2 2 8 4 5 () 2 !» 5 S 5 « 9 7 1) 1 .^ f) 1 2 i) « I have already intiinatorl T h;i in tlie contiiry. I use . them also as a meariH to hrinL' to the mind tiuuren ifiven in a»jy order. To do it I ])roceed as tollows: The first two figures 72. A word is framed from the Numei-ic Alphabet, the letters of which woi-d a^roe with the number 72; " s" and "d" are the letters, — the word would be seed Now th;it seed I associate with No. 1 symbol, or Bass. 1 im.'ijrine ut th*' time the experiments are given throwinjr seed into the water to feed them. f pay no more attention to that fact, but take up the next, 28. I imagine the Dace bein,^ a tat one. Dace is No. 2 in the symbols. 45 are the next figures in the list ; ' '1" •'n" agree with 45, so that "lino" is substituted juid con- nected with the 3rd symbol, firad, by supposinii; the gad is sometimes used as a line. 62 are our next figures : the word rod will give 62; red will also give the .same figures, so J should paint the Maul red. 95 are the next; the word wine will answer our purpose; to get the wine out of the bottle I might have to use a Pin to remove the cork. 85 next in the list; tan will translate 85 ; a rake could be used in collecting it together. 69 next; the word raw will be the substituted word. Seas is the symbol for No. 7 ; I could see an analogy by standing by the sea-shore on a raw or cold day. 79, sew; it would be so nonsensical to sew a toad ; we could not help but remember it. 18, boat; throw a wig in it. 62, rib ; cut it with an axe. 20, day ; has to be associated with bobin ; we were all day working with them, etc., etc. Flaving gone over the lesson in this way, when No. 6 is called for I know that the symbol "rake" stands for No. 6, so 1 remember the last thing I was doing with it, collecting "tan," or 85. To give tlie tiiiml)orj< singly, i think of the words usHociated with th^'^* nymbols in their m-der. imd translate tho.su words to thoir cor ni.spondinir nutnb»M>. N( M»<;iU(; Al.rHAHK'i". bdylnrntwy z e f h m ft k j r //« 12 3 4 5 6 7 8 d VOWKLS. a e i o u 12 3 4 That tlie letters may become taiuiliar. I would recouiinond they be used a« a brief in writiii;^. When any figure is writ- ten below the line it will be understood aw standing for one of the last letters as written in the alphabet ; that is, if figure two was written below the line, it would stand for the letter/. if above the line, the letter d. The dot, as used in writing the letter i, will represent one of the vowel letters ; when it' occurs above the consonant, it will stand for a ; when on a a level with the top of a letter it will be e; when located in the middle of a letter, it will stand for i ; when on a level with the bottom (^f the letter, it will stand for o ; and when below the letter, it will be u. — Should the consonant letter occur first it will read first. The same of the vowel letters. Where the union of vowel letters occur, I convert the dot into a slight dash. When the combination of consonants occur, I increase the length of the letters. The only figure I entirely alter is the one that stands for t and v, which will b© under- stood by reference to the engraving. 19 not CHARACTERS ABREVIATED. , JL — Z -^ J r 7 — > O 3 8 V COMHINA'IION OF VOVVKhS. I.KTTKHS. AA \ AE / AO AU ^1. > wntinq