Tag: teaching

270 Not especially famous, long-open problems which anyone can understand 2012-06-21T18:30:34.743

210 Mathematical games interesting to both you and a 5+-year-old child 2017-09-18T21:29:35.607

134 Where to buy premium white chalk in the U.S., like they have at RIMS? 2010-05-28T14:08:44.427

110 What are the most misleading alternate definitions in taught mathematics? 2009-12-02T15:59:43.357

94 "Mathematics talk" for five year olds 2012-10-01T01:09:23.980

84 Why do we teach calculus students the derivative as a limit? 2010-09-27T05:29:56.663

75 History of $\frac d{dt}\tan^{-1}(t)=\frac 1{1+t^2}$ 2015-02-09T03:22:21.570

71 Is Euclid dead? 2013-12-19T18:18:49.333

66 How misleading is it to regard $\frac{dy}{dx}$ as a fraction? 2011-08-23T13:23:12.543

65 Teaching statements for math jobs? 2009-10-16T23:31:28.250

64 Demystifying complex numbers 2010-07-01T09:17:03.093

60 An example of a beautiful proof that would be accessible at the high school level? 2011-09-08T08:10:47.810

60 Teaching homology via everyday examples 2014-01-01T12:50:47.740

59 Teaching proofs in the era of Google 2010-10-09T03:39:38.897

55 How to introduce notions of flat, projective and free modules? 2010-11-18T21:37:41.307

55 Collecting proofs that finite multiplicative subgroups of fields are cyclic 2011-02-08T08:30:54.087

53 Advice for PhD Supervisors 2015-09-14T09:19:35.677

50 What does it take to run a good learning seminar? 2010-02-20T15:38:34.077

49 Are there any "related rates" calculus problems that don't feel contrived? 2011-12-10T02:09:04.337

48 Interesting Calculus Questions/Exercises 2011-01-20T21:21:35.830

45 Fun applications of representations of finite groups 2010-01-14T22:00:53.090

43 Why linear algebra is fun!(or ?) 2010-07-30T13:54:10.630

42 How do you mentor undergraduate research? 2016-04-06T20:20:10.667

40 Is Galois theory necessary (in a basic graduate algebra course)? 2010-08-01T17:11:05.500

39 Applications of the Cayley-Hamilton theorem 2016-02-25T17:52:43.027

38 Why do we need random variables? 2016-09-22T18:01:45.220

36 Justifying/Explaining math research in a public address 2012-08-07T19:17:23.700

35 How to draw knots with Latex? 2010-04-15T06:33:05.583

33 Interesting applications (in pure mathematics) of first-year calculus 2010-08-10T16:38:15.253

33 Can the unsolvability of quintics be seen in the geometry of the icosahedron? 2013-06-09T12:44:21.513

33 Important open exposition problems? 2017-09-23T19:51:38.800

32 effective teaching 2009-12-31T09:47:25.690

32 Do names given to math concepts have a role in common mistakes by students? 2010-06-18T11:01:45.950

31 Applications of knot theory 2010-12-03T22:23:17.700

30 Lecture notes on representations of finite groups 2009-11-21T19:30:41.393

30 "Homotopy-first" courses in algebraic topology 2010-03-20T15:40:17.460

29 Blackboard rendering of math fonts 2009-11-17T18:55:40.347

29 Is it consistent with ZF that $V \to V^{\ast \ast}$ is always an isomorphism? 2018-01-11T14:29:26.680

28 Historical (personal) examples of teaching-based research 2015-04-01T18:21:45.007

27 Elementary applications of linear algebra over finite fields 2013-01-14T17:06:39.607

27 Does seeing beyond the course you teach matter? The case of linear algebra and matrices 2013-10-08T21:02:07.817

25 Means of Promoting Mathematics in Young Countries! 2011-10-13T20:42:34.870

25 Using slides in math classroom 2011-11-04T15:18:47.510

25 Is “problem solving” a subject to be taught? 2013-06-26T12:17:41.783

24 What are your favorite puzzles/toys for introducing new mathematical concepts to students? 2010-08-14T21:00:49.770

24 The function $\sum_{0}^{\infty} x^n/n^n$ 2012-10-08T17:07:00.873

24 Nearly all math classes are lecture+problem set based; this seems particularly true at the graduate level. What are some concrete examples of techniques other than the "standard math class" used at the *Graduate* level? 2013-06-13T10:37:02.163

24 What (fun) results in graph theory should undergraduates learn? 2016-02-06T08:33:57.580

23 Why are two notions of Gaussian curvature are the same - what is the simplest & most didactic proof? 2010-07-26T14:57:27.757

22 References for "modern" proof of Newlander-Nirenberg Theorem 2010-06-17T15:13:31.010

22 Textbook recommendations for undergraduate proof-writing class 2011-04-22T16:12:08.373

22 The Matrix-Tree Theorem without the matrix 2011-08-22T08:41:21.580

22 Direct proof that the centralizer of $GL(V)$ acting on $V^{\otimes n}$ is spanned by $S_n$ 2012-03-03T00:43:41.553

22 Pros and cons of math teaching using smartboards 2013-06-10T12:31:17.210

22 Conceptual algebraic proof that Grassmannian is closed in Plucker embedding 2014-09-18T01:44:50.690

21 Curriculum reform success stories at an "average" research university 2009-12-19T07:48:31.610

21 The role of the mean value theorem (MVT) in first-year calculus 2010-07-11T17:05:26.250

21 Teaching the fundamental group via everyday examples 2014-10-21T20:19:27.767

21 Math books for advanced high school students 2014-11-05T08:18:42.490

21 Technical issue in the approach to Lie groups taken in a book 2016-01-26T21:15:45.623

20 Category theory sans (much) motivation? 2009-10-19T02:46:10.813

20 Pedagogical question about linear algebra 2009-12-20T04:46:30.073

20 How do professional mathematicians learn new things? 2010-08-02T06:48:01.393

20 Varieties as an introduction to algebraic geometry / How do professional algebraic geometers think about varieties 2010-10-21T02:46:25.037

20 How to motivate and present epsilon-delta proofs to undergraduates? 2012-02-15T19:04:32.283

19 Mathematics and autodidactism 2010-06-16T22:11:14.063

19 an engineering Ph.D. teaching math in college 2010-09-08T21:46:23.207

18 What are the qualities of a good (math) teacher? 2009-11-14T12:34:41.797

18 Resources for teaching arithmetic to calculus students 2010-11-05T18:59:16.860

18 What is the best way explain to undergraduates that all 1-dimensional manifolds are orientable? 2011-02-07T15:11:24.857

17 How seriously should a graduate student take teaching evaluations? 2010-01-11T21:51:02.177

17 Looking for an introductory textbook on algebraic geometry for an undergraduate lecture course 2010-02-06T10:58:46.057

17 Teaching a pedagogy course 2011-06-22T20:34:17.560

17 Interesting Applications of the Classical Stokes Theorem? 2011-12-20T20:58:49.330

17 Is $x \, \tan(x)$ integrable in elementary functions? 2012-10-02T04:36:40.557

17 Languages beyond enumerable 2016-04-21T01:36:23.120

16 Undergraduate Differential Geometry Texts 2009-12-05T04:35:39.763

16 What should be taught in a 1st course on Riemann Surfaces? 2010-04-14T22:36:22.430

16 Excellent uses of induction and recursion 2012-03-30T16:49:59.580

16 Bitcoin Research 2012-09-05T16:51:06.047

16 Textbook for undergraduate course in geometry 2012-11-01T03:07:28.207

16 Research level applications of "row rank = column rank"? 2013-02-28T05:19:07.433

16 Teaching stochastic calculus to students who know no measure theory (or PDE, or...) 2014-11-28T15:48:15.033

16 Teaching Steenrod Operations 2017-10-21T16:16:57.147

16 A conjecture in which both "if" and "only if" are near misses 2017-11-29T15:53:01.830

15 Applications of connectedness 2010-05-31T14:38:20.133

15 Permission to use Online Notes 2012-01-05T18:21:46.727

15 Readings for an honors liberal art math course 2012-02-19T17:55:22.270

15 How useful/pervasive are differential forms in surface theory? 2014-03-08T00:29:52.733

14 Founding of homological without quite involving derived categories 2010-01-07T01:49:21.960

14 How does one motivates the method of separation of variables when teaching PDE's? 2010-11-16T06:03:26.337

14 Not especially famous, long-open problems which higher mathematics beginners can understand 2012-07-02T18:25:01.580

13 How to motivate the skein relations? 2010-04-05T17:29:50.937

13 An elementary proof that the degree of a map of spheres determines its homotopy type 2010-05-21T20:38:21.757

13 conditional equality symbol 2011-04-07T02:42:12.437

13 How to make a lecture series useful 2011-11-19T02:04:06.990

13 How to mentor an exceptional high school student? 2012-02-28T03:13:54.313

13 A funny factorization of the Jacobian coming from the lines on the Fermat cubic 2014-11-25T15:40:38.567

13 Teaching polarisation formula 2016-12-15T08:10:22.247