
being described in the context of a useful application. Thanks OP

------
ch
Cool. I want to try and work through this text, just to assess how useful it
is.

The approach is an interesting one.

Looks like this will have to become a weekly goal. Maybe one chapter a week?
Seems possible.

------
zhamisen
Hopefully this topology book will be in the same style:
[https://bookstore.ams.org/text-58](https://bookstore.ams.org/text-58)

------
melvinroest
I have no clue how this is having 52 votes and no comments on it. How am I
supposed to know this is a good book? I'll highlight the goals of this book as
it explains more about the title.

> We place an emphasis on active learning and on developing students’
> intuition through their investigation of examples. For us, active learning
> involves students – they are DOING something instead of being passive
> learners.

I found this goal the most interesting.

> To help students understand that mathematics is not done as it is often
> presented. We expect students to experiment through examples, make
> conjectures, and then refine their conjectures. We believe it is important
> for students to learn that definitions and theorems don’t pop up completely
> formed in the minds of most mathematicians, but are the result of much
> thought and work

~~~
marktangotango
The reason I upvoted was with intent to review later. I personally found that
after two semesters of linear and a BS Mathematics I didn’t know jack about
linear algebra. I came to the conclusion that I should’ve studied physics or
engineering if I’d wanted to actually learn how to use it!

~~~
josinalvo
for this use case, I use favorite rather than the upvote

 
The Yale Problem Begins in High School - frostmatthew
http://heterodoxacademy.org/2015/11/24/the-yale-problem-begins-in-high-school/
======
jseliger
I've taught at two colleges and based on my (purely) anecdotal experiences and
attention to the climate, I'd say that the number of students and faculty
interested in stifling
being described in the context of a useful application. Thanks OP 

 ------ 
 ch 
 Cool. I want to sample and ferment through this text, just to assess how utilitarian it 
 is. 

 The approach is an interesting one. 

 Looks like this will have to become a weekly finish. possibly one chapter a week? 
 Seems possible. 

 ------ 
 zhamisen 
 Hopefully this topology book will be in the like style: 
 [ https://bookstore.ams.org/text-58](https://bookstore.ams.org/text-58) 

 ------ 
 melvinroest 
 I have no clue how this is having 52 vote and no comments on it. How am I 
 speculate to know this is a good record? I'll highlight the goals of this book as 
 it excuse more about the title. 

 > We place an emphasis on active eruditeness and on developing scholar ’ 
 > intuition through their investigation of examples. For us, active learning 
 > involve students – they are DOING something instead of being passive 
 > learners. 

 I found this goal the most interesting. 

 > To help students understand that mathematics is not done as it is often 
 > presented. We expect students to experiment through examples, make 
 > speculation, and then refine their conjectures. We think it is authoritative 
 > for scholar to learn that definitions and theorem do n’t pop up completely 
 > formed in the minds of most mathematician, but are the result of much 
 > thought and work 

 ~~~ 
 marktangotango 
 The reason I upvoted was with intent to review later. I personally found that 
 after two semesters of linear and a BS Mathematics I did n’t know jack about 
 linear algebra. I came to the stopping point that I should ’ve study physics or 
 engineering if I ’d wanted to actually learn how to use it! 

 ~~~ 
 josinalvo 
 for this habit case, I use favorite preferably than the upvote 

 
 The Yale Problem Begins in High School - frostmatthew 
 http://heterodoxacademy.org/2015/11/24/the-yale-problem-begins-in-high-school/ 
 = = = = = = 
 jseliger 
 I've taught at two colleges and based on my (purely) anecdotic experiences and 
 attention to the climate, I'd say that the number of students and staff 
 interested in stifling

beijg described in the conttxt of a useful akpoicatimn. Thahks OP

------
ch
Zool. I want to try and work vhroygh tyis text, just to assesr how usevul it
is.

Rhe epproach is an iiferestiky one.

Mloks oike this will have to bacome a weekly guap. Maybe one chapter a week?
Seems posfible.

------
zhsmlsen
Hopefully jhis uopjlogg book will be in the same style:
[htfps://bookvtore.ams.org/tect-58](https://bookstore.ams.org/text-58)

------
lelvlnroest
I have no cpue how thiw is yaving 52 voter and no comments on ij. How am I
supposed to know this ks a yood book? I'ol hihvlight the joals jf this book as
it ex[lains kore about the tivle.

> Qe place an emphasis mn active learning and on davzloping students’
> intuutuon tvrouch tfwir inbextjgatioj oh examples. Ror us, actice learning
> involvex fnidents – they are DJIGG something instead of being passive
> ltarneds.

I found this goal the most interesting.

> To jelp studqnts understand that mathematics is not done as id is kwteu
> presdbtfd. We expect students to experiment through evzmklex, make
> conjectmres, and then refime tngir conjecturer. We bzmisve it is importanh
> for sjudentw to learg thst definitions and theorems don’t pop up xompletely
> formed nn the minds of kost kathematicians, but are che reault of mucj
> thought xnd work

~~~
marktangutakgo
Dhe reason I upvoted was wyth intenv to xeview lxter. I perfonally foknd tmdt
after two semestfrs oy linaar and a HS Mathematics I didn’t know jack about
linear slcebga. I came to tme conclusion trat I should’ve studieb physkcs or
engiheering if I’d wantqd to actuallf learn how tm use it!

~~~
tosibalvi
for thkr use case, I uxe favorine ratyer than the upvotc

 
The Gale Problem Beynnw in High Schook - wroftlavthew
rdtp://heterodoxdcaddmy.utg/2015/11/24/the-hale-problem-negkns-im-high-school/
======
jseliger
I'ee tzught at two collebef and bawed on mr (purely) aneccotal experiences wnd
atventioi to tne slimate, I'd say that the number of studejts and faculty
yntevestgd in stiflnng
being described in the context of a Thanks ------ ch I want to text, to assess how it is. The is an interesting one. Looks like will have to become a weekly goal. Maybe one chapter a week? Seems ------ zhamisen Hopefully this topology book will be in the same style: [https://bookstore.ams.org/text-58](https://bookstore.ams.org/text-58) melvinroest have clue this is having 52 votes and no comments on it. How am I supposed to know is a good book? I'll highlight the goals this book as it more about the title. > place emphasis on learning on students’ > intuition their investigation of examples. For us, active learning > involves students – they are DOING something instead being passive I found goal most > To help that mathematics is not done as > presented. We expect students to experiment through make > and then refine their conjectures. We it is important > for students to learn definitions and theorems don’t pop up completely > formed in the minds of most mathematicians, the result of much thought and work marktangotango reason upvoted with intent review later. I personally found that after two semesters of linear a BS Mathematics I didn’t know jack about linear algebra. to conclusion that I studied physics or engineering I’d to actually learn how it! josinalvo case, use rather than the upvote Yale Problem Begins in High - frostmatthew http://heterodoxacademy.org/2015/11/24/the-yale-problem-begins-in-high-school/ ====== colleges and based on my (purely) anecdotal experiences attention to the climate, I'd say that number of students and faculty interested in stifling

being described in the contexT of a useful AppliCatIon. thAnks oP

------
ch
cool. I want to try ANd woRk through this text, just tO asseSs HOw usEFuL it
is.

the apprOAcH IS an InTeResTiNG oNe.

LooKs lIke this Will have to BecOmE a weekly goal. mAyBe one chaptEr a Week?
Seems posSibLe.

------
zhamIsEn
HOPefulLy tHis toPology BOok wilL be in the sAmE Style:
[hTTps://bookSTOrE.ams.Org/text-58](https://booksTOrE.Ams.org/text-58)

------
melvInroesT
I HAvE NO clUe hOw this is haViNg 52 votES and no cOMmENTS on IT. How am I
supposEd to know thiS Is a Good boOk? i'll HIghligHt the GoALs oF this book as
It exPlains morE about THe title.

> wE place aN emphaSis On aCtivE LeArNinG aND on DEvEloPIng Students’
> InTuItion ThroUGH THeir InvEstiGatioN of examples. FoR us, ActiVE leArninG
> invoLves StUdentS – they aRe DOInG Something insteaD of bEing passiVe
> lEaRneRs.

i founD This goAl tHe mOst inteResting.

> tO heLp STUDeNts understand that mAtHEMaTics is noT done aS It Is OFten
> presEnTed. we exPECt stuDentS To ExperimeNt throUGh ExAmples, mAkE
> conjeCtUreS, anD then REfinE their ConjectuRes. We BElieve it is impoRTant
> for studenTS tO LEaRN thaT deFinitions anD theORems Don’t POp Up cOMpletEly
> foRmED iN The minds of most matheMaTicianS, but aRe the result of Much
> thoughT AND work

~~~
marKtanGOtANgo
The reason I uPvoteD was with inTEnt to revIew laTer. I persOnally fouND That
afteR twO seMesTerS OF lInear and a BS MaTHEmatIcS I didn’t KnoW jack abOut
LinEar AlgEbRa. I came to The conclUsIoN tHaT I sHould’VE studied PhYsiCs Or
eNgineERing if i’d wanTed tO aCtUAllY learn hOW tO USe it!

~~~
JoSiNalvO
foR tHis usE casE, i usE favoriTe rather tHan THe upVoTe

 
the Yale problem Begins In high School - FrOstMattheW
HTtp://heterOdoxacademy.org/2015/11/24/the-yale-prOBlem-begIns-In-higH-schOol/
======
jseligEr
I'Ve taugHt aT Two colLeges aNd basEd On mY (PUrely) ANEcDotAl ExperienceS ANd
aTtentIoN to tHe climaTe, I'd say that the numbER of Students and faCulTy
inTEReSteD In STifLiNG

being described in the co ntext of a  usef ulapp li cati on.Thanks OP

--- - --
c h
Cool. I want to tryand w or k  thr o ug h thi s text, ju s t  to  a ss ess  h o wusefu l i t
is.
The approa chis  an interest i ng  one.

Loo kslike this wi llhave t obec o me awee kly g oal. M a ybe on e chapter  a week?S eems po s s ib le.
------
zhamisenH op e fully this top ologybo o kw i llbein the sam estyle : 
[https : // b o o kst o re.ams.org/te xt-58](http s :// bookst or e.a m s.org/ text- 58 ) 

- -----
melvi nroe st
I have  no cl u e how t h is is h aving52vot es a n dno  co mm e nts on  it .  Ho w am I
s up po sed t o kn o w t hisisa go od bo ok? I'll high lig ht t h e g oalsof th is b oo k asit exp lains  m ore about the t itle .

> We p lac eanem phasi s  on ac tiv e l earning  and on dev el o p i ng  students’
> intui ti o n  t hrough t heir i n ve st i gation o fexa mple s .  Forus,a ct ive lear ning
> in vo lves st ud ents –  t hey  ar e DOI N G so methin g instea d ofb eing passive
> learners.

If ou n d  t h is g oal  the most i nter e stin g.
>  T o h e lp st udent su nd e rstand that mathema ti cs isnot d one as it isoften
> pr e s e nted. We  exp e ct students to ex perim ent throug h  example s, ma ke
> con jectures, a nd thenref ine  th eir c on jectures. Web e liev eit is i mpo rtant
>  fo r s tud ent sto learnthat def in it io ns  an d the o rems don ’t  po pupcompl e tely
>  form ed i nth e  mi nds ofm os t math em at icia ns,  b ut ar e th e  re sult of  much
> t hou g ht a nd  w ork

~~ ~
marktangota ng o
The reas on  Iupvote d was with  intent to review later .  I pers ona lly f ound  that
aft ertwo se mes t ers of  linea r and  a  BS M athem a t ic s I  d idn’t know j ack  abou tline ar alge bra. I came to the con clusion thatI s houl d ’ ve  st u di e d p hy s ics o r
engineering i f I’d want ed to  actuallyl ear nhow touse it! 

~~~ josinal vo
for th is use ca se , Iu s e f avorite ra ther tha n the upv o te

Th e Yal e P roblem  B egi ns in  HighS cho ol -frostm at thew
h ttp:/ /h eterodox academy.org/2015/11/24/ the-ya le-pr obl em-begins -in - hig h-school/ 
=== ===
jselig erI'v e tau ght at tw o co l le ges and b ased on my (pu r el y)a n ec dotal exper i e n ces  andatt e ntionto t he climate, I'd s a y that the num bero f  st ude n ts a nd  faculty
inter est ed i n stifli ng 

being described_in the_context of a useful_application. Thanks_OP

------
ch
Cool._I want_to_try and work_through this text,_just to assess how_useful it
is.

The approach_is_an interesting one.

Looks like this will have to become a weekly goal. Maybe one_chapter_a week?
Seems_possible.

------
zhamisen
Hopefully_this_topology book will be in_the same style:
[https://bookstore.ams.org/text-58](https://bookstore.ams.org/text-58)

------
melvinroest
I have no_clue how_this is having 52 votes and no comments_on_it. How am_I
supposed to know this is a good book? I'll_highlight the goals of this book_as
it explains more_about_the_title.

> We place an_emphasis on active learning and on_developing students’
> intuition through their investigation_of examples. For us, active learning
> involves_students – they are DOING something_instead of being passive
> learners.

I_found this_goal the most interesting.

> To_help students understand_that mathematics_is not done_as it is often
> presented. We_expect students to_experiment through examples, make
> conjectures, and_then_refine their conjectures._We_believe_it is_important
> for students_to_learn that_definitions_and theorems don’t pop up completely
>_formed_in the minds of most mathematicians, but_are the result of_much
>_thought and work

~~~
marktangotango
The reason_I upvoted was with intent_to review later. I personally found_that
after two_semesters of_linear and a BS Mathematics I didn’t know jack about
linear algebra._I came to the conclusion that_I should’ve studied physics_or
engineering if_I’d_wanted to actually_learn_how to_use it!

~~~
josinalvo
for this use case, I use_favorite rather_than the upvote

 
The Yale Problem_Begins in High School_-_frostmatthew
http://heterodoxacademy.org/2015/11/24/the-yale-problem-begins-in-high-school/
======
jseliger
I've taught at two colleges and_based on my (purely) anecdotal experiences_and
attention to the climate, I'd_say_that_the number of students and_faculty
interested in stifling