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Vice-President Notes in THIS ISSUE DANS CE NUMÉRO December/ décembre 2014 Math in Moscow Math à Moscou ............. 15 Vice-President Notes IN THIS ISSUE Gregory G. Smith, CMS Vice-President—Ontario DANS CE NUMÉRO he CMS website it involves working with the Statistical Vice-President Notes . 1 includes the sen- Society of Canada (SSC) to convince Notes du vice-président . 3 tence “The Canadian Statistics Canada to preserve its educational T Editorial Notes Mathematical Society pro- outreach materials. By providing secretarial Thoughts on Lecturing / motes the advancement, and logistic support, the CMS also aids Réflexions sur les exposés magistraux ...... 2 discovery, learning and the annual meeting of Chairs and Heads of Calendar Notes . 5 application of mathematics Canadian Mathematics Departments. If the Book Review Notes . 6 in Canada.” As a mission CMS did not exist, then we would need to Classification and Identification statement, it has the benefits of being both create a similar organization just to do this of Lie Algebras .......................... 6 More Fallacies, Flaws and Flimflam ......... 8 clear and concise. Although there are mem- important work. Choosing to engage in these bers of the CMS who would like something Education Notes particular activities is rather easy because Should (or does) mathematics education more specific or inspirational, I am unaware they require relatively few resources. research inform our mathematics of anyone who literally disagrees with this However, our ability to successfully undertake teaching practice? ...................... 10 sentence. The ongoing challenge is figure many of them does depend on the CMS Research Notes ......................... 12 out how to accomplish this goal. Given the credibly representing Canadian mathematical How to Analyse Hamiltonian inherent limits on volunteer’s time and financial community. Somewhat paradoxically, I don’t Non-integrability? ...................... 12 resources, we must prioritize among the many think these projects actually inspire people QSS – From Heuristics To endeavours that promote and advance math- to join the CMS. How can we increase our On the Dimension of Finite Linear Spaces ... 14 ematics. We should also regularly re-evaluate membership? CMS Member Profile our choices and look for new opportunities. Harley Weston ......................... 13 From my perspective, the conferences With this in mind, how should the CMS change Math in Moscow / Math à Moscou ......... 15 organized by the CMS are the most prominent over the next ten years? CSHPM Notes ventures. The semi-annual meetings highlight Who Hijacked the Philosophy A national society, such as the CMS, the latest mathematical developments from of Mathematics? ....................... 16 is needed to represent the Canadian across Canada and around the world. Call For Sessions mathematical community to various The CMS awards and prizes presented at 2015 CMS Summer Meeting . 17 international and domestic bodies. For these meetings celebrate excellence within CMS Awards and Prizes / example, the CMS is a full member the Canadian mathematical community. Prix de la SMC . 19 of International Council for Industrial Should we be looking for additional ways and Applied Mathematics (ICIAM) and to recognize Canadian mathematical Mathematical Congress of the Americas talent? Because the CMS handles almost (MCA). In conjunction with National Research all of the technical details, the organizers Council of Canada (NRC), the CMS also of the sessions are able to concentrate on represents Canada at the International the scientific content. In my experience, Mathematical Union (IMU). The CMS trains most people attend a CMS conference for and coaches Math Team Canada to compete one peculiar session. I know some areas at the International Mathematical Olympiad of mathematics in which leaders make an (IMO). On the domestic stage, the CMS effort to ensure that their field is regularly advocates for mathematics. Sometimes this showcased at these national conferences. takes the form of quiet bilateral meetings How do we encourage similar leadership with the Natural Sciences and Engineering from more branches of mathematics? Some Research Council (NSERC) and other times people have the impression that organizers Canadian Mathematical Society FRANÇAIS PAGE 3 Continued on page 4 Société mathématique du Canada CMS Notes EDITORIAL NOTES Volume 46 No. 6, December 2014 Thoughts on Lecturing Réflexions sur les exposés Srinivasa Swaminathan, magistraux Dalhousie University, Halifax, NS es notes de cours du professeur passent aux notes de professor’s lecture notes go straight cours de l’étudiant, sans passer par le cerveau ni de l’un ni to the students’ lecture notes, « L de l’autre ». Voilà un bout d’une citation attribuée à Mark “A without passing through the brains Twain, peut-être par erreur. Il est vrai que la durée d’attention de la of either.” This is part of a quotation attributed plupart des étudiants est limitée. Les étudiants écoutent plusieurs to Mark Twain, perhaps erroneously. It is true exposés pendant la journée et passent le plus clair de leur temps that the attention span of most students is à prendre des « notes ». Dans une journée typique, leur attention limited. They listen to several lectures during est portée aux travaux à remettre le jour même ou le lendemain. the day and spend most of the time writing down ‘notes’. On a given Dans ces circonstances, le professeur a peine à retenir l’attention day, their interests are focused on assignments which are due that soutenue des étudiants pendant qu’il ou elle donne son exposé. day or the next. In view of all this it is a problem for a professor to Une des méthodes qui donnent de bons résultats à ce chapitre get the students to take a sustained interest in his (her) lecture. consiste à entamer l’exposé en relatant une anecdote ou une One of the successful methods in this direction is to start a lecture histoire. Il importe peu que l’histoire soit liée au sujet de l’exposé ce by telling a story. It does not matter whether the story is relevant to jour-là. Par exemple, j’ai déjà raconté l’histoire suivante (elle porte sur the lecture topic of the day. For example, I have used the following l’invention de la machine à coudre) : Elias Howe, inventeur américain story: it concerns the invention of the sewing machine. Elias Howe, qui a vécu au cours de la première moitié du 19e siècle, a consacré an American inventor who lived in first half of the 19th century des années à la recherche d’un moyen d’enfiler une aiguille à coudre spent years trying to figure out how he could get the sewing needle dans du tissu de façon répétée sans la retourner. Il tentait en vain through the cloth repetitively without having to turn the needle de régler ce problème depuis de nombreuses années. Un soir, il a around. He had been trying to solve this problem unsuccessfully for fait un cauchemar. Il s’était vu capturer par des sauvages. Leur chef many years. One night, he had a nightmare in which he dreamt that avait remarqué l’aiguille et le fil dans sa main et avait eu vent de he had been captured by savages. Their leader noted the needle son problème. Le chef a ensuite déclaré qu’Elias devait trouver une and thread in Elias’s hand and heard about his problem concerning solution à ce problème en moins de 24 heures, sans quoi il serait this. He decreed that Elias must come up with a solution to this mis à mort. Malheureusement, même au pays des rêves, Elias ne problem within 24 hours, failing which he will be put to death. pouvait pas réfléchir calmement et, par conséquent, n’arrivait pas Unfortunately, even in the dream, Elias was unable to think calmly à trouver une solution dans le délai accordé. À la fin de son rêve, il and thus, could not come up with a solution within the allotted time. voyait de nombreux sauvages s’approchant de lui, lances à la main. At the end he saw the frenzied savage mob approaching him with Les lances étaient brandies de haut en bas. Devant ce spectacle, huge spears rising and falling. This spectacle made him realize that Elias remarque que toutes les lances étaient trouées au bout et que all of the spears had eye-shaped holes in the tips. He awoke with ces trous avaient la forme d’un œil. Au réveil, c’est la révélation : le the revelation that the needle for his sewing machine should be trou de l’aiguille de sa machine à coudre devait être pratiqué dans threaded at the tip, the sharp pointed end, not in the middle or at la pointe, le bout pointu et coupant, et non pas au milieu ou dans the tail, as was usual for ordinary sewing needles! The new sewing la queue, comme pour les aiguilles à coudre ordinaires! La nouvelle machine was born. machine à coudre venait de voir le jour. Stories like this enliven the interest of students; they get into a Les anecdotes de la sorte suscitent l’intérêt des étudiants; leur better mood to follow closely the subsequent lecture. A story humeur s’améliore et les aide à écouter attentivement l’exposé qui with some humor will also help. For example: A motorist was 100 suit. Une anecdote humoristique fera aussi l’affaire. Par exemple : yards from an open railway level crossing, proceeding at 50 m.p.h. trois étudiants doivent faire un examen final le lundi. Ils sont brillants A train was approaching at 60 m.p.h. and was 35 ft away from the et vont faire la fête le dimanche. Ne s’étant pas réveillés le lundi matin, railway crossing. les trois ratent l’examen et se présentent dans le bureau du professeur responsable pour présenter leurs excuses. Ils lui demandent de Question: Did the motorist get across? Answer: Yes, he got a cross.
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