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Math circle

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350:. They first appeared in the Soviet Union during the 1930s; they have existed in Bulgaria since sometime before 1907. The tradition arrived in the U.S. with émigrés who had received their inspiration from math circles as teenagers. Many of them successfully climbed the academic ladder to secure positions within universities, and a few pioneers among them decided to initiate math circles within their communities to preserve the tradition which had been so pivotal in their own formation as mathematicians. These days, math circles frequently partner with other mathematical education organizations, such as 446:
competitions involve solving closed ended (known answers) problems, however, there are also essay, project and software competitions. As with all tests requiring limited time, the problems focus more on the empirical accuracy and foundations of mathematics work rather than an extension of basic knowledge. More often than not, competition differs entirely from curricular mathematics in requiring creativity in elementary applications—so that although there may be closed answers, it takes significant extension of mathematical creativity in order to successfully achieve the ends.
329:; some avoid competition as much as possible. Models can use any combination of these techniques, depending on the audience, the mathematician, and the environment of the circle. Athletes have sports teams through which to deepen their involvement with sports; math circles can play a similar role for kids who like to think. Two features all math circles have in common are (1) that they are composed of students who want to be there - either like math, or want to like math, and (2) that they give students a social context in which to enjoy mathematics. 470:
progress tracking. This is also the biggest minus of competition-based mathematics, because defining goals and dealing with complexity and chaos are important in all real-world endeavors. Competitive math circles attract students who are already strong and confident in mathematics, but also welcome those who wish to engage in the mathematics competitive world. Beyond the age of ten or so, they also attract significantly more males than females, and in some countries, their racial composition is disproportionate to the country's demographic.
422:. Club members write and read essays, pose and solve problems, create and study definitions, build interesting example spaces, and investigate applications of their current topic. There are lists of time-tested, classic math club topics, especially rich in connections and accessible to a wide range of abilities. The plus of using a classic topic is the variety of resources available from the past; however, bringing a relatively obscure or new topic to the attention of the club and the global community is very rewarding, as well. 231: 129: 378:
communities. Museums, cultural and business clubs, tech groups, online networks, artists/musicians/actors active in the community, and other individual professionals can make math projects especially real and meaningful. Increasingly, math clubs invite remote participation of active people (authors, community leaders, professionals) through webinars and teleconferencing software.
63: 22: 987:- one of the most well organised mathematical circle with impressive list of premier contests such as Euclid, Canadian Senior Mathematics Contest (CSMC), Fermat, and Hypatia for advanced high schoolers and CIMC, Pascal, Fryer, Cayley, Galois, and Gauss for middle & junior high schoolers. Euclid & CSMC contests winners are seriously considered for scholarships at 385:
memory and attention), grouping problems by type and conceptual connections (e.g. "river crossing problems"), moving between more general and abstract problems and particular, simpler examples, and collaboration with other club members, with current online communities, and with past mathematicians through the media they contributed to the culture.
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get together to pose and solve interesting, deep, meaningful math problems. Problems considered "good" are easy to pose, challenging to solve, require connections among several concepts and techniques, and lead to significant math ideas. Best problem-solving practices include meta-cognition (managing
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Collaborative math clubs are more suitable for kids who are anxious about mathematics, need "math therapy" because of painful past experiences, or want to have more casual and artistic relationships with mathematics. A playgroup or a coop that does several activities together, including a math club,
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and connecting students with them can be a focus of math circles. Students in these circles appreciate and start to attain a very special way of thinking in research mathematics, such as generalizing problems, continue asking deeper questions, seeing similarities across different examples and so on.
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may spend a few meetings building origami, developing a math trail in their town, or programming a math-like computer game together. Math-rich projects may be artistic, exploratory, applied to sciences, executable (software-based), business-oriented, or directed at fundamental contributions to local
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Mathematical enrichment activities in the United States have been around since sometime before 1977, in the form of residential summer programs, math contests, and local school-based programs. The concept of a math circle, on the other hand, with its emphasis on convening professional mathematicians
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Some math circles are completely devoted to preparing teams or individuals for particular competitions. The biggest plus of the competition framework for a circle organizer is the ready-made set of well-defined goals. The competition provides a time and task management structure, and easily defined
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For people like Robert and Ellen Kaplan, competition carries with it a negative connotation and corollary of greed for victory rather than an appreciation of mathematics. However, those who run math circles centering mostly on competition rather than seminars and lessons attest that this is a large
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One can expect problem-solving groups to attract kids already strong in math and confident in their math abilities. On the other hand, math anxious kids will be more likely to try project-based or applied clubs. Topic-centered clubs typically work with kids who can all work at about the same level.
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Most circles and clubs mix some features of the above types. For example, the Metroplex Math Circle, Arnold & Marsden Mathematical Olympiad Circle (AMMOC) have a combination of problem-solving and research, and the New York Math Circle is some combination of a problem-solving circle and a
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use self-discovery and the Socratic method to probe deep questions. Robert & Ellen Kaplan, in their book Out of the Labyrinth: Setting Mathematics Free, make a case for this format describing the non-profit Cambridge/Boston Math Circle they founded in 1994 at the Harvard University. The book
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Math competitions involve comparing speed, depth, or accuracy of math work among several people or groups. Traditionally, European competitions are more depth-oriented, and Asian and North American competitions are more speed-oriented, especially for younger children. The vast majority of math
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center on a field other than mathematics, such as math for thespians, computer programming math, or musical math. Such clubs need strong leadership both for the math parts and for the other field part. Such clubs can meet at an artists' studio, at a game design company, at a theater or another
1046:. It is highly advanced virtual & in-person mathematical circle which covers honours level undergraduate courses for select numbers of highly motivated school students across the globe and makes them do serious early career research. It is founded by mathematician Dr. Simon Rubinstein, a 393:
describes the classroom, organizational and practical issues the Kaplans faced in founding their Math Circle. The meetings encourage a free discussion of ideas; while the content is mathematically rigorous, the atmosphere is friendly and relaxed. The philosophy of the teachers is, "
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Math circles can have a variety of styles. Some are very informal, with the learning proceeding through games, stories, or hands-on activities. Others are more traditional enrichment classes but without formal examinations. Some have a strong emphasis on preparing for
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Most math circles and clubs combine some competitive and some collaborative activities. For example, many math circles, while largely centering on competitions, host seasonal tournaments and infuse their competition seminars with fun mathematical lessons.
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and secondary school students regularly to solve problems, appeared in the U.S. in 1994 with Robert and Ellen Kaplan at Harvard University. This form of mathematical outreach made its way to the U.S. most directly from the former
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The Berkeley Math Circle (BMC) is a weekly program for over 500 San Francisco Bay Area elementary, middle and high school students. It has flagship series of remarkable and rigorous textbooks published under the same
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authentic professional setting. More examples of fruitful applied math pathways include history, storytelling, art, inventing and tinkering, toy and game design, robotics, origami, and natural sciences.
401:). Children are encouraged to ask exploratory questions. Are there numbers between numbers? What's geometry like with no parallel lines? Can you tile a square with squares all of the different sizes? 1080:. It places equal emphasis on the art of writing proofs, early research initiation, and extensive participations in the American, European, Canadian, and international contests like 459: 455: 795: 500: 351: 316:, around 1907, with the very successful mission to "discover future mathematicians and scientists and to train them from the earliest possible age". 572: 530: 916: 585: 887: 73: 1081: 1060:. This circle is focused to provide pre-college students with a rigorous education in foundational & undergraduate mathematics such 463: 355: 984: 824: 92: 1147: 451: 283: 265: 212: 110: 49: 609:
Kaplan, Robert, and Ellen Kaplan. Out of the Labyrinth: Setting Mathematics Free. Oxford; New York: Oxford University Press, 2007.
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Decisions about content are difficult for newly forming math circles and clubs, or for parents seeking groups for their children.
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Please help improve this article by looking for better, more reliable sources. Unreliable citations may be challenged and removed.
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etc. In its choice of contents and methods, it is very close to traditional Russian mathematical circles of the erstwhile
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What you have been obliged to discover by yourself leaves a path in your mind which you can use again when the need arises
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usually chooses collaborative or hybrid models that are more likely to accommodate all members already in the group.
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assumption. Rather, participants grow in their appreciation of math via math competitions such as the
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The decision about the type of the club strongly depends on your target audience.
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Video of Class Techniques given to The Mathematical Sciences Research Institute
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is an extracurricular activity intended to enrich students' understanding of
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Mathematical Association of America Press: June/July 2012 issue of MAA FOCUS
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Capital Math: A Julia Robinson Mathematics Festival Comes to D.C.
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CYFEMAT: The International Network of Math Circles and Festivals
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graduate and a student of Fields Medal winning mathematician
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Ithaca Math Circle wins 2nd place 2011 Mandelbrot Competition
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Arnold & Marsden Mathematical Olympiad Circle (AMMOC)
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topic-centered club, with vestiges of a research circle.
928:. The founder of this circle is a leading specialist of 80: 1057: 896: 688: 647: 91:, and by adding encyclopedic content written from a 648:"Arnold & Marsden Mathematical Olympiad Circle" 153:. Unsourced material may be challenged and removed. 694:The London School of Mathematics & Programming 557: 555: 553: 551: 549: 547: 854:, leading Teacher and Student Math Circles in 932:style mathematical pedagogy, Dr. Anna Burago. 414:follow math themes such as clock arithmetic, 8: 801:Harvard Math Circle, Bob & Ellen Kaplan 600:Awards and Achievements: Ithaca Math Circle 501:National Council of Teachers of Mathematics 50:Learn how and when to remove these messages 763:Florida Student Association of Mathematics 768:Fremont Math Circle - California Bay Area 742:at the Institute of Mathematics, UNAM in 527:National Association of Math Circles Wiki 284:Learn how and when to remove this message 266:Learn how and when to remove this message 213:Learn how and when to remove this message 111:Learn how and when to remove this message 991:and other premier Canadian universities. 709:(listed in alphabetical order, by name) 573:Mathematical Sciences Research Institute 531:Mathematical Sciences Research Institute 487: 1127:Tom Davis notes on math circle lessons 1016:CĂ­rculo Matemático Kimche (Since 2016) 907:Orange County (California) Math Circle 72:contains content that is written like 7: 1034:run by former graduates students of 151:adding citations to reliable sources 714:Alliance of Indigenous Math Circles 356:Julia Robinson Mathematics Festival 1117:– an online series of Math Circles 917:Palo Alto (California) Math Circle 825:Dominican University of California 721:for elementary school students in 684:Maths Circles by We Solve Problems 678:Math circles in the United Kingdom 14: 308:came into being in the erstwhile 31:This article has multiple issues. 874:Florida International University 796:Gunn (California) HS Math Circle 229: 127: 61: 20: 1020:Universidad de Los Lagos, Chile 138:needs additional citations for 39:or discuss these issues on the 750:Davis (California) Math Circle 1: 1010:Math circles in South America 705:Math circles in North America 995:Westchester Area Math Circle 719:"Art of Inquiry" Math Circle 1164: 807:Lehman College Math Circle 620:"Math Circle at ASU Tempe" 390:Guided exploration circles 965:The University of Arizona 946:San Francisco Math Circle 897:New Hampshire Math Circle 562:Vandervelde, Sam (2007). 1148:Mathematics competitions 1032:Euler Mathematics Circle 922:Prime Factor Math Circle 834:Arizona State University 495:Wirszup, Izaak (2006) . 816:Los Angeles Math Circle 634:"Metroplex Math Circle" 523:"What is a Math Circle" 405:Research mathematicians 382:Problem-solving circles 238:Some of this article's 999:Manhattanville College 989:University of Waterloo 879:Mid-Cities Math Circle 782:The Global Math Circle 699:Edinburgh Maths Circle 689:Maths Circles by MESME 662:"New York Math Circle" 360:Mandelbrot Competition 1143:Mathematics education 1109:MathCompetitions.info 941:San Diego Math Circle 936:Princeton Math Circle 861:Metroplex Math Circle 441:Competition decisions 327:Olympiad competitions 93:neutral point of view 985:Waterloo Math Circle 951:San Jose Math Circle 902:New York Math Circle 740:CĂ­rculos Matemáticos 728:Berkeley Math Circle 412:Topic-centered clubs 147:improve this article 1048:Stanford University 1026:Online Math circles 1004:Wyoming Math Circle 956:Toronto Math Circle 912:Orlando Math Circle 761:– sponsored by the 759:Florida Math Circle 521:Saul, Mark (2006). 375:Project-based clubs 85:promotional content 1121:The IMO Compendium 1115:Global Math Circle 961:Tucson Math Circle 888:Mobile Math Circle 787:Global Math Circle 735:Boise Math Circles 426:Applied math clubs 87:and inappropriate 870:Miami Math Circle 821:Marin Math Circle 399:G. C. Lichtenberg 304:. The concept of 294: 293: 286: 276: 275: 268: 223: 222: 215: 197: 121: 120: 113: 54: 1155: 1062:Abstract Algebra 1052:Akshay Venkatesh 980:Utah Math Circle 791:Toronto, Ontario 666: 665: 658: 652: 651: 644: 638: 637: 630: 624: 623: 616: 610: 607: 601: 595: 589: 583: 577: 576: 570: 559: 542: 541: 539: 537: 518: 512: 511: 509: 507: 492: 342:and present-day 289: 282: 271: 264: 260: 257: 251: 233: 225: 218: 211: 207: 204: 198: 196: 155: 131: 123: 116: 109: 105: 102: 96: 74:an advertisement 65: 64: 57: 46: 24: 23: 16: 1163: 1162: 1158: 1157: 1156: 1154: 1153: 1152: 1133: 1132: 1099: 1028: 1012: 975:UCI Math Circle 970:UBC Math Circle 843:The Math Circle 707: 680: 675: 670: 669: 660: 659: 655: 646: 645: 641: 632: 631: 627: 618: 617: 613: 608: 604: 596: 592: 584: 580: 568: 565:Circle in a Box 561: 560: 545: 535: 533: 520: 519: 515: 505: 503: 494: 493: 489: 484: 443: 368: 366:Content choices 335: 322: 320:Characteristics 290: 279: 278: 277: 272: 261: 255: 252: 249: 234: 219: 208: 202: 199: 156: 154: 144: 132: 117: 106: 100: 97: 78: 66: 62: 25: 21: 12: 11: 5: 1161: 1159: 1151: 1150: 1145: 1135: 1134: 1131: 1130: 1124: 1118: 1112: 1106: 1098: 1095: 1094: 1093: 1055: 1027: 1024: 1023: 1022: 1011: 1008: 1007: 1006: 1001: 992: 982: 977: 972: 967: 958: 953: 948: 943: 938: 933: 919: 914: 909: 904: 899: 894: 885: 876: 867: 858: 849: 840: 827: 818: 813: 804: 798: 793: 784: 779: 770: 765: 756: 747: 737: 732: 725: 716: 706: 703: 702: 701: 696: 691: 686: 679: 676: 674: 673:External links 671: 668: 667: 653: 639: 625: 611: 602: 590: 578: 543: 513: 486: 485: 483: 480: 442: 439: 367: 364: 334: 331: 321: 318: 292: 291: 274: 273: 240:listed sources 237: 235: 228: 221: 220: 135: 133: 126: 119: 118: 89:external links 69: 67: 60: 55: 29: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 1160: 1149: 1146: 1144: 1141: 1140: 1138: 1128: 1125: 1122: 1119: 1116: 1113: 1110: 1107: 1104: 1101: 1100: 1096: 1091: 1087: 1083: 1079: 1078:Real Analysis 1075: 1074:Galois Theory 1071: 1067: 1063: 1059: 1056: 1053: 1049: 1045: 1041: 1037: 1033: 1030: 1029: 1025: 1021: 1017: 1014: 1013: 1009: 1005: 1002: 1000: 996: 993: 990: 986: 983: 981: 978: 976: 973: 971: 968: 966: 962: 959: 957: 954: 952: 949: 947: 944: 942: 939: 937: 934: 931: 927: 923: 920: 918: 915: 913: 910: 908: 905: 903: 900: 898: 895: 893: 892:South Alabama 889: 886: 884: 880: 877: 875: 871: 868: 866: 862: 859: 857: 853: 852:Math for Love 850: 848: 844: 841: 839: 835: 831: 828: 826: 822: 819: 817: 814: 812: 808: 805: 802: 799: 797: 794: 792: 788: 785: 783: 780: 778: 777:Cambridge, MA 774: 771: 769: 766: 764: 760: 757: 755: 751: 748: 745: 741: 738: 736: 733: 729: 726: 724: 723:Rockville, MD 720: 717: 715: 712: 711: 710: 704: 700: 697: 695: 692: 690: 687: 685: 682: 681: 677: 672: 663: 657: 654: 649: 643: 640: 635: 629: 626: 621: 615: 612: 606: 603: 599: 594: 591: 587: 582: 579: 574: 567: 566: 558: 556: 554: 552: 550: 548: 544: 532: 528: 524: 517: 514: 502: 498: 491: 488: 481: 479: 475: 471: 467: 465: 461: 457: 453: 447: 440: 438: 434: 430: 427: 423: 421: 417: 413: 409: 406: 402: 400: 396: 391: 386: 383: 379: 376: 371: 365: 363: 361: 357: 353: 349: 345: 341: 332: 330: 328: 319: 317: 315: 311: 307: 303: 299: 288: 285: 270: 267: 259: 247: 246: 241: 236: 232: 227: 226: 217: 214: 206: 195: 192: 188: 185: 181: 178: 174: 171: 167: 164: â€“  163: 162:"Math circle" 159: 158:Find sources: 152: 148: 142: 141: 136:This article 134: 130: 125: 124: 115: 112: 104: 94: 90: 86: 82: 76: 75: 70:This article 68: 59: 58: 53: 51: 44: 43: 38: 37: 32: 27: 18: 17: 883:UT Arlington 773:Girls' Angle 708: 656: 642: 628: 614: 605: 593: 581: 564: 534:. 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