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By seven years of age they are familiar with inverse operations or undoing one operation by per- forming its opposite (tying and untying one’s shoe is an example; adding and subtracting is another). Seven-year-olds can also understand the concept of multiplication and division if they discover that one is just a quick way of addition where the addends are the same and the other is a quick way of sub- tracting where the subtrahend is the same..,. But there_are three major hang-ups: (Continued from Page 1) function can be well-served in the alignment of Highway 407 as a lOgh-speed, high-volume multi-mode carrier of diverse commodities (including human beings) as permitted by locat- ional and functional criteria. With all utilities and services' present, or in close proximity. the transportation corridor willl have built-in an exceptionally‘ high quality utility. “This is a primary requisite of high intensity use and makes low intensity uses most inap- propriate. The high capital in- vestment in the corridor area shouldn't be wasted,” says the Markham planning staff draft report. It a: t t The Markham planning docu- ment goes on to deal with the Status Report on the Toronto- Centred Region which was is- sued August 17 as follows: “The elaboration of the park- way belt in the Status Report does not alter its position as incompatible and detracting to reduce the efficiency and effect- iveness of both. “The refinement of the pop- mediate north fringe municip- alities (north of Metropolitan Toronto) is not increased above the 200,000 aggregate. although Newmarketâ€"Aurora, Cedarwood and southwest Pickering are added to increase the overall total of 369.000 - 428,000. UNSATISFACTORY AND UNREALISTIC “For the north fringe muni- cipalities the population alloâ€" cation is entirely unsatisfactory and unrealistic. The Markham half of the newly-defined North Metro fringe from Yonge Street to Highway 404, Steeles Avenue to Highway 407 (with a popula- tion allocation of one-half of the total 90 - 95,000 or 45,000 - 47.- 000) meets the immediate short- term development proposals. “But the 20 - 21,000 allocated to Unionville - Markham per- mits nothing more than present conceptually and functionally approval and proposed plans,” defective. The parkway function should be recognized as distinc- tively separate from the trans- says the draft report. ROUGE SEWER VITAL “It is obvious that the above portation and communications population allocation anticipates function of the service or utility corridor and in many respects no major sewerage scheme in the Rouge River drainage area, 'but is predicted entirely on lDon River drainage and the :present limited capacity of up- stream plants (which are inade- iulation allocation for the im-‘quatel. To the Town of Mark Iham a major sewerage scheme in the Rouge watershed is of vital importance and should be initiated immediately by the Government of Ontario, its Water Resources Commission. The Regional Municipality of York and the Town of Mark- hami “Without such a scheme. ord- ‘erIy and economical urban ex- pansion in the Toronto-Centred Region is not possible and will‘ reflect in a deteriorating envir-l onment caught in the vise of} urban sprawl on the outskirts and unbearable congestion and densities of development withinl Metro,” says the draft report. * * aw * The Markham planning draft report goes on to deal with the known policy of Metro regardâ€" ing annexation of adjacent‘ areas. as follows: “The Metro Corporation has re-affirmed its policy favoring extension of its northerly bouny dary along the alignment of Highway 407 (proposed near thell present alignment of Highway‘L 7). At the same time it nowl I l The Markham planning docu- ment goes on to deal with the Status Report on the Toronto- Centred Region which was is- sued August 17 as follows: 0 22 Do not Use the method you and I have learned where you “bring down” the next number. There was little understanding in this approach and it had a tendency to ceuse children to “thrjow up”. So that children don’t forget that mathematics does communicate, put the numbers in a problem. If an elevator can carry 24 people at a time, how many trips will it have to make to carry 528 tourists to the Second â€" Many children become frustrated when an adult can’t explain “why”. As adults we accept conventions because we’ve learned that in order to make progress there must be agreement in certain areas. If we are to drive safely we must all drive on the right side of the road. We would change to the left tomorrow but there would be chaos unless we all agreed to do so. Why call that a chair? Why does]: certain symbol represent a certain quantity? “This is a primary requisite of high intensity use and makes low intensity uses most inap- propriate. The high capital in~ vestment in the corridor area shouldn‘t be wasted,“ says the Markham planning staff draft report. First â€" Parents and teachers don’t appreciate sometimes that mathematics is a new language for children -â€" a way of communicating with strange words and symbols. Remember the difficulty you had in French with vocabulary? V,-_-__- v. -v--...__ 1......â€".VJ . Lastly, the algorism â€" the way you do it with paper and pencil. Here again convention dictates the rules and if a mathematical language is to be meaningful it must communicate. We must all obey the same conventions. When the teacher gives a child an addition drill she usually “conditions” him so that all the answers will appear in the boxes or at the bottom of each column. The answers would be equally correct if the child wrote them on the fleshy part of his forearm but infinitely more diffi- cult to check not to mention correcting or final erasure. ' top of the Dominion Centre Most kindergarten children know how old they are. Many of them can tell you how old they will be next year and how old they were last year. If you hold three blocks in one hand and six in the other they can tell you which hand holds more. They have the concept of quantity and the concept of more and less and these concepts are what adding and subtracting are all about. To review, then, division is just-equal subtrac- tions. Any seven year old child can find out how many groups of four there are in a pile of poker chips. He just subtracts four at a time and places each group of four in separate piles and then counts the piles â€" have him do division with real objects. When this is understood the algorism presents the next challenge. Interpret the symbol the same way everytime (don't confuse him with distinctions be- tween partitive and measurement ,division at this time). Always write the symbol (5)12 while saying, “How many 6’s in 12 '3” "now many 6’s in 12?” . Of course the child should have much oral and written practice with simpler examples such as 10’s in 40, 20’s in 160, etc. Introduce larger numbers and accept any answer and do your multiplying and subtracting to see if you are correct, but always deal with the whole dividend; e.g. How many 24’s in 528? 24)528. If the child hesitates â€"â€" prompt. Do you think there would be 10? Maybe? If you took 24 from 528 ten times you would have 10 x :24 z 240 subtracted from 528 â€" that would leave 288. Are there more 24's in 288? Ten more? Next. how many groups of 24 are there in 48? Finally. there are 22 groups of 24 each in 528. The algorism would look like this: Markham Report Rips Toronto-Centred Plan In my experience with young people I have found that they rarely have difficulty with math- ematical concepts; and before parents and teachers stone me from my classroom I’d better qualify that statement. A mathematical concept should only be introduced after the child’s experiences are suffic- iently broad that the concept is meaningful by virtue of the fact that it can be related to his experiences. The teacher says my child seems to have no understanding of the division process. How can I helprhim? . . . Mathematics Is A New Language For Children School Daze ' '28 “)340 288 240 By JOHN Mac-RAE 10 “It is obvious that the above population allocation anticipates no major sewerage scheme in the Rouge River drainage area, “It is also very apparent that the Toronto-Centred Region and The Status Report as presented do not meet the urbanizing onto. Nor Does the Metropolitan Council‘s position to extend to Highway 407 and to include Pickering." MUST GROW IN ALL DIRECTIONS “The only effective solution is to urbanize in all directions, including initiation of a pro- gram of urban development tot the north by opening at least‘ 60,000 acres by construction of a sewerage system in the Rouge watershed,” says the draft report. “The three documents - The‘ Toronto-Centred Region Plan,} The Status Report and .the Pol-i icy of the Metropolitan Corpor-i ation on Regional Planning andi Government â€" should be revis-{A‘ ed to recognize fully the urgent;â€" urban development needs of the ' Metropolitan Corporation and1 the Toronto-Centred Region as they relate to the Town of Markham and the south end of- the Regional Municipality of York." says the draft report tabled in Markham Council? Planning Committee earlier this month. 1 JANUARY 2. SUNDAY all (la.v Richmond Hill Naturalists Christmas bird census. If inter- ested call S. MacKenzie at 834- 5212 for further information. DECEMBER 31. FRIDAY -â€" Annual Richvale Lion’s New Year‘s Eve dance. $20 per cou- ple, beverages and buffet in- cluded, dancng from 9 pm â€" 2 am. 31 Spruce St. For tickets call 889~7438. c2w26 JANUARY 2. SUNDAY 10â€"6, Antique show and sale. Lions‘ Hall. 106 Centre Street East. Richmond Hill. Furniture, china, glass, silver, jewellery. brass. pictures. Bargains galore. Sale held first Sunday every month. Donations to Leukemia Fund. The Regional Municipality of! York must forthwith show initâ€" W iative and assume its statutory tr responsibilities in respect of all n‘ major urban services with the 11‘ co-operation’ of the Metro Corp- 01 oration and the Province to set- k1 tle an additional 600,000 popula- tion ‘by Year 2000." (8 MARKHAM PREFERRED S AREA “Markham now has 10 years of large â€" scale urban de\'elop-( ment. It has established good( relations and mutual confidence}? with the development and build-K ing industry. It has the largest} amount of readily-accessible serviceable and preferred land‘ for urbanization within the Tor-.‘é onto-Centred Region. 5 “It is also clear that the northerly development obvious- ly must extend beyond proposed Highway 407 and must be frag- mented by divided political jurisdictions. The present south boundary of Markham must re- main in tact and the municipal- ity must not be divided. “The Metro Corporation has re-affirmed its policy favoring extension of its northerly bounâ€" dary along the alignment of ‘ Highway 407 (proposed near the present alignment of Highway 7). At the same time it now wishes to include the Borough of Pickering in the Metro feder-l ation provided financial viabilfl ity can be guaranteed by prov- incial assistance. 3 “The Metro-attempted justifi- cation for expansion by Metro. is growth at an annual rate of 60,000 persons or 1,800.000 pop- ulation by Year 2000. At a gross density of 10 persons per acre. the annual urbanized land need of Metro is 6.000 acres or 180,- 000 acres by Year 2000." PICKERING NOT ENOUGH “Without such a scheme, ord- erly and economical urban ex- pansion in the Toronto-Centred Region is not possible and will reflect in a deteriorating envir- onment caught in the vise of urban sprawl on the outskirts and unbearable congestion and densities of development within Metro," says the draft report. TURN SPARE ROOMS INTO SPARE CASH BY USING LIBERAL CLASSIFIEDS gSecondarySchbolForBAlFInl974f When the full BAIF develop- ment is completed, said Bac- salmasi. there will probably be a need for two secondary schools as well as elementary and Roman Catholic schools. If the development goes ahead as planned, he said, there is no danger of being overbuilt. Georgina Trustee Mariane Gillan asked if the new Aurora High School would be filled to capacity by 1974. (It is sched- uled to open in September 1972). She was assured this is not likely. for elementary school pupils. The board might have to go after more than one school in one year and end up bussing students to Aurora. It would be wise, he said, to apply to the Department of Education now, to make sure the money would be available if it is needed. “We can if necessary slow down the work.” It is essential, said Chapman, to confirm capital money from the Department of Education now. If it is not needed, it will not be used. “When these other things are known, we will know what to do at that stage.” MONEY DECISION NOW 'scene 1; There are many major unâ€"l Both knowns, said Education Direc-‘persona tor Sam Chapman. He citedlappear the speed of development. theilB to ha status of the southern bounda1‘-'accused ies of the Region of York. to get Attendance at r e a BAIF Secondary Sch (Continued from Page 1) be bounded by Carrville Road ities of adding to “the very 0n the south. Highway 400 on small Langstaff Secondary the west, Gormley Sideroad on School." The addition, he said, the north- The easterly boun- could accommodate the overâ€" dary i5 Slightly t0 the West of flow from the early phase of Bathurst Street- BAIF. A new school could be The board agreed to plan for ndance area for thegiously. Both are stati1 Secondary School \vould'Oak Ridges Detachment At the November breakfast the men discussed tiling the basement floor, a task they carried-out successfully the following week. The third Sunday of each month the 20-member Men’s Club of Emmanuel Church enjoy breakfast together and then discuss projects of work around the church. At the breakfast served December 19, the subject for discussion was the idea of combining with the ACW to plan a social evening for adults of the congregation. In the above picture (left to right) are Ron Baker, David Baker, John Poulet and Rev. George Young as they enjoy the breakfast. Anglican Active Men (S Club At Emmanuel Anglican PHOTOGRAPHY accused said they wanted timelg to get a lawyer and legal aid}! if necessary. 9 |.. Constable Dyke was accomp-[E‘ anied by Constable Robert Lor- entz at the time of the inci- dent at the Steer Inn Drive-in, 255 Yonge Street South. Neither constable was hurt ser-‘ ioust. Both are stationed at‘ KKKK‘KKKKK Known in the past as at Sat- an‘s Choice motorcycle club member, Carl Bridges of 118 May Avenue, Richvale had two large recent wounds on his face as he appeared before Provin- cial Judge David Vanek. MiSs Barbara Seldon, 21, of 30 Clark Avenue, South Thorn- hill is charged with causing a disturbance in a public place by screaming, shouting, swear- ing and using insulting and ob- scene language. A 25-year-old Richmond Hill laborer and his 21-year-old Thornhill female factory worker companion faced charges in local court this week after a December 23 midnight incident at a drive-in restaurant with two Provincial Police officers on their way home from duty. Bridges is charged ' with common asault on OPP Consta- ble James Dyke and with caus- ing a disturbance by fighting. Both are free on their mm personal bail and are due to appear back in court Janqary 18 to have a trial date set. Both Allege Man, Girl Battled 2 Police a BAIF Secondary School to be completed in 1974. man 5K4 KW Cavalier White Sliced BREAD . . 4 for 99¢ Sunbury 100's . . . . . 69¢ Pkg- Florida Vine Ripe TOMATOES . . 3 Ibs- $1.00 P.E.I. POTATOES . . . . IO lb. Bag 49¢ FRESHLY SLICED Mac, Mock, Pickle or Bologna (CANADA PACKERSVCOOKED MEATS) if 7 6 oz. Pkg. ROUND STEAK MINCED All Prices Effective Dec. 30th to 3151; 29 Yonge St. S. 884-2611 Free Delivery in Immediate Area Closed Sat, Jan. I, I972 FRESH PORK SPARE RIBS . . 63¢ lb. PEAMEAL BACON mind or Piece) 79¢ Lb. Fresh Pork Loin Roasts Fresh Pork Chops NO. 7 HWY. JUST EAST OF KEELE DAILY T0 10 A.M. TILL 9 RM. SATURDAY 9 A.M. - 6 RM. SHOP EARLY FOR THE BEST SELECTION! 2 BIG WAREHOUSES - OPEN TO THE PUBLIC OUR JANUARY FABRIC SALE THE HLL MARKETERIA NO. 7 HWY. (across from Knob Hill Farms) GET 1 YARD FREE MILL-OUTLET FABRIC and DRAPERY IT'S A FACT! BUY 2 YARDS In Section Indicated AT YOUR NEAREST R IS NOW ON! (Photo by Barbour) THE LIBE‘P. .‘ T Store Hours: 9 am FOR Richmond Hill, Ontario, Thursday, Dec. 30, 1971 from We sincerely regret a proof-reading error In last week’s advertisement for the Richmond Inn Motor Hotel included champagne in the program for the Gala New Year’s Eve Dance. There will be no champagne. However, balloons, noisemakers, hats and live enter- tainment will be included at the modest price of $5 per couple. Reservations should be made now. JACKPOT $500 - 52 No.'s RICHMOND HILL LIONS CLUB Early Birds 7: 20 REGULAR GAMES â€" 3 MONDAY, JANUARY 3 LIONS HAI.I. Starting Monday. January 3rd in the Round Table Room (THE CHUG) We Reserve the Right to Limit Quantities 106 Centre St STARTING TIME NEXT BINGO JANUARY 3 CORRECTION BINGO lb. 89¢ Lb. 4 for $1.00 . East â€" 8 RM. 40 pm. SPECIAL GAMES