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Peter Ash's Thoughts on Math and Education

Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning.

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Peter Ash's Thoughts on Math and Education | peterashmathedblog.blogspot.com Reviews
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Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning.
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7 embarrasing mistake
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Peter Ash's Thoughts on Math and Education | peterashmathedblog.blogspot.com Reviews

https://peterashmathedblog.blogspot.com

Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning.

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1

Peter Ash's Thoughts on Math and Education: January 2015

http://peterashmathedblog.blogspot.com/2015_01_01_archive.html

Peter Ash's Thoughts on Math and Education. Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning. See my Mathematics Tutoring Service. A11 Splitting a triangle and a tetrahedron. János Kurdics published this interesting problem in The Math Connection Linkedin group:. The solution that I know is very nice, and gives quite a workout in elementary trigonometry. A10 Triangle with sides in arithmetic sequence. Here is a p...

2

Peter Ash's Thoughts on Math and Education: Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being, George Lakoff and Rafael E. Nunez, Basic Books, 2000.

http://peterashmathedblog.blogspot.com/2008/02/books.html

Peter Ash's Thoughts on Math and Education. Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning. See my Mathematics Tutoring Service. Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being, George Lakoff and Rafael E. Nunez, Basic Books, 2000. By Stanislaus Dehaene (reviewed below), this book applies cognitive science to an analysis of mathematical thought. But unlike that book,. Chapters ...

3

Peter Ash's Thoughts on Math and Education: May 2015

http://peterashmathedblog.blogspot.com/2015_05_01_archive.html

Peter Ash's Thoughts on Math and Education. Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning. See my Mathematics Tutoring Service. 1 Does anyone have a counterexample or a proof? It seems like it should be very simple. Subscribe to: Posts (Atom). From time to time I will post an elementary mathematics problem which I hope readers may enjoy. "Elementary" to me means that the problem does not require any specia...

4

Peter Ash's Thoughts on Math and Education: A simple (?) number theory conjecture

http://peterashmathedblog.blogspot.com/2015/05/a-simple-number-theory-conjecture.html

Peter Ash's Thoughts on Math and Education. Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning. See my Mathematics Tutoring Service. 1 Does anyone have a counterexample or a proof? It seems like it should be very simple. 160;Interactive online math homework help. Best site for   math homework help. March 4, 2016 at 7:08 PM. Subscribe to: Post Comments (Atom). I will sometimes post a link to a solution. If I hav...

5

Peter Ash's Thoughts on Math and Education: Embarrasing mistake

http://peterashmathedblog.blogspot.com/2015/05/embarrasing-mistake.html

Peter Ash's Thoughts on Math and Education. Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning. See my Mathematics Tutoring Service. 160;Interactive online math homework help. Best site for   math homework help. March 4, 2016 at 7:07 PM. Subscribe to: Post Comments (Atom). From time to time I will post an elementary mathematics problem which I hope readers may enjoy. "Elementary" to me means that the problem do...

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MathBit: Adevărat sau fals?

http://mathbit.blogspot.com/2009/12/adev-sau-fals.html

Sâmbătă, 5 decembrie 2009. Adevărat sau fals? Oare orice număr impar poate fi scris ca diferenţă de două pătrate perfecte? 9 decembrie 2009, 13:52. Fals Numarul 1 nu poate fi scris ca diferenta decat ca (k 1) - k si nu exista 2 patrate perfecte consecutive. 9 decembrie 2009, 16:17. 9 decembrie 2009, 20:41. Notam cu i numarul impar. Notam cu a 2 si b 2 cele doua patrate perfecte. I=a 2-b 2 = i=(a-b)(a b). Orice numar impar poate fi scris ca produs intre 1 si el insusi i=1*i. A-b=1 si a b=i. Am aflat de pe...

mathbit.blogspot.com mathbit.blogspot.com

MathBit: Numărăm până învăţăm

http://mathbit.blogspot.com/2010/01/num-p.html

Sâmbătă, 23 ianuarie 2010. Numărăm până învăţăm. De câte ori folosim cifra 5 pentru a scrie toate numerele naturale de la 1 la 100000? 27 ianuarie 2010, 14:59. 50000 de 5; 38894 de 0. 28 ianuarie 2010, 19:01. 50000*9 38894-5=(9 2*90 3*900) (4*9000 5*90000). 450000 38889=2889 36000 450000. Abonați-vă la: Postare comentarii (Atom). 21 martie 2014 - Experimentul Eratostene. Math and Logic Play. Totalul afișărilor de pagină. Șablonul Watermark. Un produs Blogger.

mathbit.blogspot.com mathbit.blogspot.com

MathBit: Numărare

http://mathbit.blogspot.com/2010/01/num.html

Luni, 4 ianuarie 2010. De câte ori folosim cifra 5 pentru a scrie toate numerele naturale de la 1 la 10000? 8 ianuarie 2010, 15:45. 5 se foloseste de 4000 de ori? N am timp sa mai numar, plec dupa copii! 11 ianuarie 2010, 17:08. Am numarat si cifra 0. mi-a dat 2902. e corect? 11 ianuarie 2010, 19:06. Hai sa facem o verificare rapida:. Pentru scrierea tuturor numerelor de la 1 la 10000 se folosesc. 9 2*90 3*900) (4*9000 5)=2889 36005=38894 cifre. 4000*8=32000 cifre din multimea {2,3,4,.,8,9}. Asa si cu pr...

mathbit.blogspot.com mathbit.blogspot.com

MathBit: Picături matematice

http://mathbit.blogspot.com/2015/06/picaturi-matematice.html

Marți, 2 iunie 2015. Vă recomand câteva jocuri matematice, realizate cu GeoGebra, pentru copii mici și mari. Sper să vă placă! Https:/ sites.google.com/site/picaturim/un-puzzle-in-triunghi. Abonați-vă la: Postare comentarii (Atom). 21 martie 2014 - Experimentul Eratostene. Math and Logic Play. Totalul afișărilor de pagină. Șablonul Watermark. Un produs Blogger.

mathbit.blogspot.com mathbit.blogspot.com

MathBit: Cuburi perfecte

http://mathbit.blogspot.com/2009/12/cuburi-perfecte.html

Luni, 21 decembrie 2009. Se consideră numerele 1,2,3,.,97,98. Se pot alege 49 dintre aceste 98 de numere astfel încât suma oricăror două dintre numerele alese să nu fie cub perfect? 21 decembrie 2009, 10:51. Am luat in considereare patratele perfecte 8,27,64,125 pe care le-am scris ca suma de numere din intervalul [1,98],a ramas multimea. A={2,3,4,7,8,9,10,11,12,13,21,22,26,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}. 4 ianuarie 2010, 16:00.

mathbit.blogspot.com mathbit.blogspot.com

MathBit: Divizibilitate

http://mathbit.blogspot.com/2010/01/divizibilitate.html

Sâmbătă, 23 ianuarie 2010. Arătaţi că dacă numerele naturale x, y ş z verifică egalitatea 2x-3y 4z=0, atunci numărul n=y(x-z) se divide cu 6. 24 ianuarie 2010, 13:31. Ecuatia poate fi scrisa 2x-2z-3y 6z=0. N=3y(y-2z)/2 deci n divizibil cu 3 (1). Acum scoatem din ecuatie pe y. N=(2(x 2z)/3)(x-z) deci n divizibil cu 2 (2). Din (1) si (2) rezulta ca n este divizibil cu 2*3=6. 25 ianuarie 2010, 09:16. 2x 4z=3y = 3y e nr par = y=nr.par, deci n se divide cu 2; (1). 2x 4z=3x 3z z-x=3(x z)-(x-z)=3y.

mathbit.blogspot.com mathbit.blogspot.com

MathBit: ianuarie 2010

http://mathbit.blogspot.com/2010_01_01_archive.html

Joi, 28 ianuarie 2010. Care dintre numerele următoare se divide cu 71:. Sâmbătă, 23 ianuarie 2010. Arătaţi că dacă numerele naturale x, y ş z verifică egalitatea 2x-3y 4z=0, atunci numărul n=y(x-z) se divide cu 6. Icirc;ntr-o urnă sunt 49 de bile numerotate de la 1 la 49. Care este numărul minim de bile care trebuie extrase din urnă pentru a fi siguri că am scos două bile având diferenţa numerelor înscrise pe ele mai mică decât 7. Stabiliţi dacă ecuaţia x. Miercuri, 6 ianuarie 2010. 4 şi n.

mathbit.blogspot.com mathbit.blogspot.com

MathBit: 21 martie 2014 - Experimentul lui Eratostene

http://mathbit.blogspot.com/2014/03/21-martie-2014-experimentul-lui.html

Vineri, 28 martie 2014. 21 martie 2014 - Experimentul lui Eratostene. Un interesant exemplu de aplicare a cunoștințelor de matematică, pentru elevii de clasa a VI-a, a fost reconstituirea experimentului lui Eratostene. Învățat al lumii antice, considerat a fi ”părintele Geografiei”, dar totodată având contribuții importante în matematică și astronomie, Eratostene a reușit, cu ajutorul unui băț și al unei minți sclipitoare, să determine cu o precizie extraordinară pentru acele vremuri circ...Cunoscând dis...

mathbit.blogspot.com mathbit.blogspot.com

MathBit: Unul în plus

http://mathbit.blogspot.com/2009/12/unul-plus.html

Luni, 21 decembrie 2009. Unul în plus. Se consideră numerele 1,2,3,.,97,98. Se pot alege 50 dintre aceste 98 de numere astfel încât suma oricăror două dintre numerele alese să nu fie cub perfect? 23 decembrie 2009, 00:50. Indicatie: se poate folosi oare principiul cutiei? 3 ianuarie 2010, 15:23. Singurele numere 98 cub perfect sunt 8, 27 si 64. 3 ianuarie 2010, 22:48. Incorect. Printre cele 51 de numere naturale din intervalul propus, [49,98], exista chiar mai multe perechi cu suma cub perfect:.

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Meaningful Education: Total Quality Management (TQM) and Thailand's English Program (EP)

http://meaningfuleducation.blogspot.com/2009/04/total-quality-management-tqm-and.html

A Journey Toward Effective Teaching and Learning in the 21st Century. Saturday, April 11, 2009. Total Quality Management (TQM) and Thailand's English Program (EP). In the course of a decade, the world has tremendously experienced rapid change in various aspects which eventually led to the globalization of economy and the transformation of society. Competition became a cliché in all aspects from economy to education and others. 2 All administrators agree that they have not yet succeeded in their managemen...

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Peter Ash's Thoughts on Math and Education

Peter Ash's Thoughts on Math and Education. Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning. See my Mathematics Tutoring Service. E33 Tiling a checkerboard. This problem was shown to me by my student, Apratim Roy. Though it involves only elementary concepts, I found it rather difficult, and thought the solution was very surprising and elegant. B) Describe the tiling. (Many possible answers). The following rather...

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