Tag: proofs

58 Why are induction proofs so challenging for students? 2015-11-18T16:32:07.347

37 How to explain Monty Hall problem when they just don't get it 2014-06-15T03:18:43.563

37 What am I supposed to be learning with long proofs of the main theorems in class? 2015-12-06T21:15:42.483

33 Uninsulting way to say "this will eventually be easy" 2015-03-28T16:30:19.143

29 Good, simple examples of induction? 2014-03-15T20:08:16.563

28 Is there a good age/level to start learning mathematical proofs? 2014-03-13T20:36:20.300

27 Is Euclid dead? or Should Euclidean geometry be taught to high school students? 2014-04-30T11:27:34.983

25 Teaching logic with a proof assistant 2014-03-15T21:04:00.767

25 Why do students like proof by contradiction? 2016-01-07T15:46:58.827

24 Why do we care about multiple proofs of the same theorem? 2016-11-27T20:16:28.250

23 Impressive examples where a "proof by picture" goes wrong 2014-03-20T20:15:10.747

22 What are some good simple examples that getting the right result is not enough? 2014-03-13T21:21:58.587

22 Is there a Piagetian age at which proofs can be comprehended? 2015-04-18T02:28:16.837

20 What do mathematicians call a proof? 2014-03-18T17:43:42.863

19 Examples and applications of the pigeonhole principle 2014-04-17T14:51:34.250

18 Multiple Solutions Methods vs. Encouraging a Particular Approach 2014-03-14T03:43:20.523

18 "A computer program IS a proof": Introducing rigor via programming 2014-06-20T22:06:46.197

17 What are some good low-prerequisite examples for the heuristic advice "If you cannot prove it, prove something stronger."? 2014-05-05T07:19:15.493

17 Example "bad proofs"? 2014-05-06T19:43:30.487

17 How can I discourage proof by patchwork? 2015-02-21T20:08:13.097

17 Critiquing Proof Style During Class 2015-06-16T20:49:05.657

16 Rigorous proofs vs. illustrative examples 2014-04-10T19:17:28.310

16 How to assign grades to proofs: what do(es) the literature/experts suggest? 2015-01-31T22:00:27.070

16 Constructive refutation of student misconception 2017-05-25T10:11:46.860

15 "Proof" meaning in maths and society 2014-07-26T05:07:48.403

15 Teaching the use of pictures in proofs 2015-10-08T22:51:30.013

15 Teaching strong induction instead of induction 2015-12-08T04:25:05.787

15 How to explain what is wrong in this "proof" that $\sqrt N$ must be irrational? 2016-11-23T17:49:04.083

15 Inability to work with an arbitrary mathematical object 2018-02-13T23:31:41.207

14 Order of Topics in Introductory Proofs Class 2014-12-29T07:06:24.840

14 How to teach Mathematical Induction mathematically? 2015-05-09T12:25:14.197

14 How to teach students the value of concrete counterexamples? 2017-12-24T22:39:26.857

13 Definitions/proofs that allow "useless" cases? 2014-04-10T18:25:50.053

13 Is there any evidence about the effectiveness of "table proofs" in pre-college mathematics education? 2014-04-30T23:41:21.463

13 How to measure the understandability of a proof? 2015-07-21T13:00:37.973

13 How to use false theorems or proofs? 2015-11-21T17:21:22.400

13 Proofs that make theorems less clear 2016-03-13T00:27:56.480

13 Should my 8th graders see a proof of the Pythagorean Theorem? 2016-03-16T13:23:20.027

13 Resource request: incorrect "proofs" for undergrads to correct/critique 2016-04-08T00:20:25.607

12 Any suggestions on how to approach recursion and induction? 2014-03-14T11:54:12.337

12 What different ways do people use to show students that $\mathbb{R}$ is uncountable? 2014-03-16T01:23:58.817

12 Good examples of proof by contradiction? 2014-03-16T15:37:28.997

12 Descriptive Thinking vs. Formal Writing 2014-03-30T12:25:53.067

12 Proving theorems on one's own: how long should one persist? 2014-10-06T19:06:45.583

12 Effectiveness of proofs in secondary education 2015-01-17T19:26:50.760

12 Words used in quantifier proofs 2015-11-05T22:27:15.937

12 Tasks that encourage argumentation 2017-11-24T18:22:27.780

12 How to write proofs on the board in the classroom 2018-01-24T13:02:51.900

11 What topic can I use in an Introduction to Proofs course that would introduce students to a wide variety of proof methods? 2014-04-09T00:51:37.837

11 How to arrive at infinitude of primes proof? 2014-07-25T13:53:17.077

11 Effectiveness of students seeing proofs - reference request 2015-11-30T14:41:17.953

11 Research on the use of outlined / structured proofs in instruction 2016-02-05T20:39:24.743

11 Why don't textbooks explain proofs' discovery? 2017-08-10T01:46:41.107

11 Unique steps leading to a non-unique answer 2017-10-22T18:52:32.037

10 Why do we prove things we already know? 2014-07-19T15:56:42.880

10 A basic game to make arguments about 2014-11-12T20:58:04.963

10 Examples of proofs that use a cycle of implications to prove equivalence 2015-01-08T19:28:30.797

10 Algebraic Solving and Uniqueness Proofs 2015-04-20T13:49:23.607

10 Collaboration on math homework assignments? 2016-01-04T17:26:43.643

9 Selling completeness, extreme value theorem, etc.? 2014-10-13T23:54:47.217

9 Is it natural for self-learners to forget most proofs of the theorems they learn? 2015-06-28T12:17:10.403

9 Advice on Proof-based Math Topics for High Schoolers 2015-12-29T16:55:45.420

9 Why are proofs by contradiction counterintuitive? 2016-09-23T23:44:29.513

9 Literature on student understanding of assumptions 2017-03-10T12:51:33.467

9 May we permit identities to be established by equivalent equations? 2017-07-11T15:48:03.887

9 Book request: teaching proving and reasoning at an American university 2017-10-22T23:42:56.570

8 Nice examples of proofs by cases? 2014-06-15T17:03:35.583

8 How to teach Proofs 2014-06-29T03:24:52.883

8 Grading Computations vs. Grading Proofs: Is there a difference? 2014-09-16T18:20:40.807

8 How important is building up intuition for a theorem before trying to prove it? 2015-03-23T19:03:32.773

8 Educational styles for writing proofs 2016-02-18T18:12:47.900

8 How do you assign a grade to a proof? 2016-04-08T00:12:30.770

7 Ockham's Razor & Mathematical Proofs 2014-03-30T14:47:32.283

7 Has anyone written anything notable on the relation between mathematical progress and the simplification of proofs overtime? 2015-03-30T17:58:12.890

7 Is proof-based exercise-oriented math course without solution an effective way to teach pure math? 2016-10-10T06:07:48.830

7 Ethics of looking at other proofs before submitting work 2016-10-14T03:28:25.937

7 Using number theory instead geometry to introduce proof in Basic School? 2017-10-08T14:34:16.073

6 Examples where it easier to prove more than less 2014-11-05T11:51:45.677

6 Are there automatic solution checkers? 2015-07-04T20:06:30.900

6 Should one justify formulae in middle school? 2016-02-10T07:01:31.363

6 Showing the Necessity of Proving the Impossibilities 2016-12-05T05:13:42.887

6 Is induction or recursion easier to understand? 2017-06-09T00:27:52.323

6 Can some lovers of math truly never create something previously unseen? 2018-01-14T18:04:37.233

5 How to teach application of pumping lemma (automata theory)? 2014-06-15T16:53:12.940

5 Intuition behind $\zeta(2) = \frac{\pi^2}{6}$ 2014-10-23T15:29:59.197

5 On problems which can be proved easier if we use a different induction step 2014-11-05T13:29:20.120

5 Analogies for mathematical induction 2015-05-17T00:53:53.133

5 Different approaches to proofs that "are the same"? 2016-02-02T17:24:32.130

5 Catalog of undergraduate's misconceptions / problems while proving 2016-08-25T13:59:46.587

5 Why is this type of reductio ad absurdum not taught more? 2016-12-26T21:21:49.600

5 Tutoring Discrete Mathematics 2017-10-29T20:40:06.277

4 What are ideas and strategies on improving at discovering counterexamples? 2014-03-15T16:15:01.933

4 Teaching fractions: the generalization problem 2014-04-22T12:14:29.237

4 Good exercises in proof by induction, very early in freshman calculus? 2014-05-05T02:26:12.660

4 If you do not 'read A to Z', then how can you discover the idea? 2015-12-29T04:19:29.557

4 How to promote more elegant and beautiful proofs by students? 2016-04-19T07:32:00.547

3 Is the Nomenclature of Triangle Congruency Proofs Consistent? 2017-11-30T15:53:54.887

2 Nice examples of proof by contradiction? 2014-06-15T17:07:01.357

2 When two equivalent algebraic statements have two "different" meanings 2016-10-21T16:56:57.300