Math class needs a makeover - Dan Meyer
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can<00:00:15.599> i<00:00:15.759> ask<00:00:16.000> you<00:00:16.160> to<00:00:16.400> um<00:00:16.880> to<00:00:17.039> please<00:00:17.279> recall<00:00:17.600> a
can i ask you to um to please recall a
can i ask you to um to please recall a
time<00:00:18.080> when<00:00:18.240> you<00:00:18.800> really<00:00:19.119> love<00:00:19.439> something<00:00:19.840> a
time when you really love something a
time when you really love something a
movie<00:00:20.720> an<00:00:20.880> album<00:00:21.279> a<00:00:21.439> song<00:00:21.760> or<00:00:21.920> a<00:00:22.080> book<00:00:22.560> and<00:00:23.119> you
movie an album a song or a book and you
movie an album a song or a book and you
recommended<00:00:23.920> it<00:00:24.080> wholeheartedly
recommended it wholeheartedly
recommended it wholeheartedly
to<00:00:25.600> someone<00:00:25.840> you<00:00:26.000> also<00:00:26.320> really<00:00:26.560> liked<00:00:27.359> and<00:00:27.439> you
to someone you also really liked and you
to someone you also really liked and you
anticipated<00:00:28.320> that<00:00:28.400> reaction<00:00:29.039> you<00:00:29.199> waited<00:00:29.519> for
anticipated that reaction you waited for
anticipated that reaction you waited for
it<00:00:29.840> and<00:00:30.000> it<00:00:30.080> came<00:00:30.320> back<00:00:30.560> and<00:00:30.720> the<00:00:30.800> person<00:00:31.359> hated
it and it came back and the person hated
it and it came back and the person hated
it
it
it
so<00:00:33.040> by<00:00:33.200> way<00:00:33.360> of<00:00:33.520> introduction<00:00:34.160> that<00:00:34.399> is<00:00:34.480> the
so by way of introduction that is the
so by way of introduction that is the
exact<00:00:35.120> same<00:00:35.440> state<00:00:35.760> in<00:00:35.840> which<00:00:36.000> i<00:00:36.160> spend<00:00:36.480> every
exact same state in which i spend every
exact same state in which i spend every
working<00:00:37.040> day<00:00:37.520> of<00:00:37.680> the<00:00:37.760> last<00:00:38.079> six<00:00:38.399> years
working day of the last six years
working day of the last six years
i<00:00:40.000> teach<00:00:40.239> high<00:00:40.480> school<00:00:40.719> math
i teach high school math
i teach high school math
i<00:00:42.320> i<00:00:42.559> sell<00:00:42.800> a<00:00:43.040> product<00:00:43.440> to<00:00:43.600> a<00:00:43.840> market<00:00:44.480> that
i i sell a product to a market that
i i sell a product to a market that
doesn't<00:00:45.120> want<00:00:45.440> it<00:00:45.600> but<00:00:45.840> is<00:00:46.079> forced<00:00:46.480> by<00:00:46.719> law<00:00:46.879> to
doesn't want it but is forced by law to
doesn't want it but is forced by law to
buy<00:00:47.360> it<00:00:47.520> i<00:00:47.600> mean<00:00:47.760> it's<00:00:47.920> kind<00:00:48.079> of
buy it i mean it's kind of
buy it i mean it's kind of
it's<00:00:48.960> just<00:00:49.200> a<00:00:49.360> losing<00:00:49.840> proposition<00:00:50.800> so
it's just a losing proposition so
it's just a losing proposition so
there's<00:00:51.200> there's<00:00:51.440> a<00:00:51.520> useful<00:00:51.920> stereotype
there's there's a useful stereotype
there's there's a useful stereotype
about<00:00:52.800> students<00:00:53.039> that<00:00:53.199> i<00:00:53.360> see<00:00:53.840> a<00:00:54.000> useful
about students that i see a useful
about students that i see a useful
stereotype<00:00:54.800> about<00:00:54.960> you<00:00:55.199> all
stereotype about you all
stereotype about you all
i<00:00:56.000> could<00:00:56.239> give<00:00:56.480> you<00:00:56.640> guys<00:00:57.120> a<00:00:57.760> algebra<00:00:58.239> 2<00:00:58.399> final
i could give you guys a algebra 2 final
i could give you guys a algebra 2 final
exam<00:00:59.440> and<00:00:59.600> i'd<00:01:00.000> expect<00:01:00.399> no<00:01:00.719> higher<00:01:01.280> than<00:01:01.440> a<00:01:01.520> 25
exam and i'd expect no higher than a 25
exam and i'd expect no higher than a 25
pass<00:01:02.800> rate
pass rate
pass rate
and<00:01:03.920> both<00:01:04.159> of<00:01:04.239> these<00:01:04.559> facts<00:01:04.799> say<00:01:05.119> say<00:01:05.360> less
and both of these facts say say less
and both of these facts say say less
about<00:01:06.080> you<00:01:06.320> or<00:01:06.479> my<00:01:06.720> students<00:01:06.960> than<00:01:07.119> they<00:01:07.200> do
about you or my students than they do
about you or my students than they do
about<00:01:07.600> what<00:01:07.680> we<00:01:07.840> call<00:01:08.080> math<00:01:08.400> education<00:01:08.960> in<00:01:09.040> the
about what we call math education in the
about what we call math education in the
us<00:01:09.920> today
us today
us today
to<00:01:11.280> start<00:01:11.600> with<00:01:11.920> i'd<00:01:12.000> like<00:01:12.159> to<00:01:12.240> break<00:01:12.479> math
to start with i'd like to break math
to start with i'd like to break math
down<00:01:12.880> into<00:01:13.040> two<00:01:13.200> categories<00:01:13.680> one<00:01:13.920> is
down into two categories one is
down into two categories one is
computation<00:01:14.799> this<00:01:14.880> is<00:01:15.040> the<00:01:15.119> stuff<00:01:15.360> you've
computation this is the stuff you've
computation this is the stuff you've
forgotten<00:01:16.080> for<00:01:16.240> example<00:01:16.720> factoring
forgotten for example factoring
forgotten for example factoring
quadratics<00:01:17.759> with<00:01:17.920> leading<00:01:18.159> coefficient
quadratics with leading coefficient
quadratics with leading coefficient
greater<00:01:18.960> than<00:01:19.119> one<00:01:19.600> okay<00:01:20.000> this<00:01:20.240> stuff<00:01:20.400> is<00:01:20.560> also
greater than one okay this stuff is also
greater than one okay this stuff is also
really<00:01:21.119> easy<00:01:21.439> to<00:01:21.520> relearn<00:01:22.159> provided<00:01:22.640> that<00:01:22.720> you
really easy to relearn provided that you
really easy to relearn provided that you
have<00:01:22.960> a<00:01:23.040> really<00:01:23.280> strong<00:01:23.600> grounding<00:01:24.560> in
have a really strong grounding in
have a really strong grounding in
reasoning<00:01:25.520> math<00:01:25.840> reasoning<00:01:26.159> we'll<00:01:26.320> call<00:01:26.479> it
reasoning math reasoning we'll call it
reasoning math reasoning we'll call it
the<00:01:26.640> uh<00:01:26.799> the<00:01:26.960> application<00:01:27.759> of<00:01:28.159> math<00:01:28.560> processes
the uh the application of math processes
the uh the application of math processes
to<00:01:29.280> the<00:01:29.360> world<00:01:29.680> around<00:01:30.000> us<00:01:30.560> this<00:01:30.799> is<00:01:30.880> hard<00:01:31.119> to
to the world around us this is hard to
to the world around us this is hard to
teach<00:01:31.920> this<00:01:32.079> is<00:01:32.159> what<00:01:32.240> we<00:01:32.320> would<00:01:32.560> love
teach this is what we would love
teach this is what we would love
students<00:01:33.360> to<00:01:33.520> retain<00:01:34.159> even<00:01:34.400> if<00:01:34.479> they<00:01:34.560> don't<00:01:34.720> go
students to retain even if they don't go
students to retain even if they don't go
into<00:01:34.960> mathematical<00:01:35.680> fields<00:01:36.320> this<00:01:36.479> is<00:01:36.640> also
into mathematical fields this is also
into mathematical fields this is also
something<00:01:37.119> that<00:01:37.280> the<00:01:37.360> way<00:01:37.520> we<00:01:37.680> teach<00:01:37.920> in<00:01:38.000> the
something that the way we teach in the
something that the way we teach in the
us<00:01:38.479> all<00:01:38.640> but<00:01:38.880> ensures<00:01:39.520> they<00:01:39.680> won't<00:01:39.920> retain<00:01:40.320> it
us all but ensures they won't retain it
us all but ensures they won't retain it
so<00:01:41.360> i'd<00:01:41.439> like<00:01:41.520> to<00:01:41.600> talk<00:01:41.759> about<00:01:42.000> why<00:01:42.159> that<00:01:42.400> is
so i'd like to talk about why that is
so i'd like to talk about why that is
why<00:01:42.799> that's<00:01:42.960> such<00:01:43.119> a<00:01:43.200> calamity<00:01:43.759> for<00:01:43.920> society
why that's such a calamity for society
why that's such a calamity for society
uh<00:01:44.640> what<00:01:44.880> we<00:01:44.880> can<00:01:45.040> do<00:01:45.200> about<00:01:45.439> it<00:01:45.680> and<00:01:46.079> to<00:01:46.240> close
uh what we can do about it and to close
uh what we can do about it and to close
with<00:01:46.880> why<00:01:47.119> this<00:01:47.360> is<00:01:47.439> an<00:01:47.600> amazing<00:01:48.000> time<00:01:48.159> to<00:01:48.320> be<00:01:48.399> a
with why this is an amazing time to be a
with why this is an amazing time to be a
math<00:01:48.640> teacher<00:01:49.200> okay<00:01:49.680> so<00:01:49.840> first<00:01:50.240> five
math teacher okay so first five
math teacher okay so first five
five<00:01:51.520> symptoms<00:01:52.000> that<00:01:52.079> you're<00:01:52.240> doing<00:01:52.640> math
five symptoms that you're doing math
five symptoms that you're doing math
reasoning<00:01:53.439> wrong<00:01:53.840> in<00:01:53.920> your<00:01:54.079> classroom<00:01:54.560> okay
reasoning wrong in your classroom okay
reasoning wrong in your classroom okay
one<00:01:55.360> is<00:01:55.520> a<00:01:55.840> lack<00:01:56.000> of<00:01:56.159> initiative<00:01:56.560> your
one is a lack of initiative your
one is a lack of initiative your
students<00:01:57.040> don't<00:01:57.360> self-start
students don't self-start
students don't self-start
you<00:01:58.799> finish<00:01:59.040> your<00:01:59.119> lecture<00:01:59.439> block<00:01:59.840> and
you finish your lecture block and
you finish your lecture block and
immediately<00:02:00.479> you<00:02:00.560> have<00:02:00.719> five<00:02:01.040> hands<00:02:01.280> going<00:02:01.600> up
immediately you have five hands going up
immediately you have five hands going up
asking<00:02:02.159> you<00:02:02.240> to<00:02:02.320> re-explain<00:02:02.719> the<00:02:02.799> entire
asking you to re-explain the entire
asking you to re-explain the entire
thing<00:02:03.360> at<00:02:03.439> their<00:02:03.680> desks<00:02:04.560> students<00:02:04.880> lack
thing at their desks students lack
thing at their desks students lack
perseverance<00:02:06.320> they<00:02:06.560> lack<00:02:06.799> retention<00:02:07.280> you
perseverance they lack retention you
perseverance they lack retention you
find<00:02:07.600> yourself<00:02:07.920> re-explaining<00:02:08.560> concepts
find yourself re-explaining concepts
find yourself re-explaining concepts
three<00:02:09.520> months<00:02:09.759> later<00:02:10.080> wholesale<00:02:10.800> there's<00:02:11.039> an
three months later wholesale there's an
three months later wholesale there's an
aversion<00:02:11.599> to<00:02:11.760> word<00:02:12.000> problems<00:02:12.400> which
aversion to word problems which
aversion to word problems which
describes<00:02:13.280> 99<00:02:14.000> of<00:02:14.080> my<00:02:14.239> students<00:02:14.720> and<00:02:14.879> then<00:02:15.120> the
describes 99 of my students and then the
describes 99 of my students and then the
other<00:02:15.440> one<00:02:15.680> percent<00:02:16.080> are<00:02:16.239> eagerly<00:02:16.720> looking
other one percent are eagerly looking
other one percent are eagerly looking
for<00:02:17.200> the<00:02:17.360> formula<00:02:17.840> to<00:02:18.000> apply<00:02:18.319> in<00:02:18.400> that
for the formula to apply in that
for the formula to apply in that
situation
situation
situation
okay<00:02:20.560> this<00:02:20.800> is<00:02:21.040> really<00:02:21.280> destructive<00:02:22.239> david
okay this is really destructive david
okay this is really destructive david
milt<00:02:23.040> a<00:02:23.200> creator<00:02:23.599> of<00:02:23.760> deadwood<00:02:24.160> and<00:02:24.319> other
milt a creator of deadwood and other
milt a creator of deadwood and other
amazing<00:02:24.959> tv<00:02:25.440> shows<00:02:25.920> has<00:02:26.160> a<00:02:26.319> really<00:02:26.720> good
amazing tv shows has a really good
amazing tv shows has a really good
description<00:02:27.599> for<00:02:27.760> this<00:02:28.239> he<00:02:28.720> swore<00:02:29.200> off
description for this he swore off
description for this he swore off
creating<00:02:30.319> uh<00:02:30.640> contemporary<00:02:31.599> drama<00:02:32.400> shows<00:02:32.720> set
creating uh contemporary drama shows set
creating uh contemporary drama shows set
in<00:02:32.959> the<00:02:33.040> present<00:02:33.440> day<00:02:33.920> because<00:02:34.160> he<00:02:34.319> saw<00:02:34.560> that
in the present day because he saw that
in the present day because he saw that
when<00:02:34.800> people<00:02:35.200> fill<00:02:35.360> their<00:02:35.599> mind<00:02:36.160> with<00:02:36.319> four
when people fill their mind with four
when people fill their mind with four
hours<00:02:36.959> a<00:02:37.040> day<00:02:37.200> of<00:02:37.360> for<00:02:37.519> example<00:02:37.840> two<00:02:38.000> and<00:02:38.080> a
hours a day of for example two and a
hours a day of for example two and a
half<00:02:38.319> men<00:02:38.560> no<00:02:38.720> disrespect<00:02:39.599> it<00:02:39.840> shapes<00:02:40.160> the
half men no disrespect it shapes the
half men no disrespect it shapes the
neural<00:02:40.640> pathways<00:02:41.200> he<00:02:41.360> said<00:02:41.519> in<00:02:41.680> such<00:02:41.920> a<00:02:42.080> way
neural pathways he said in such a way
neural pathways he said in such a way
that<00:02:42.800> they<00:02:43.120> expect<00:02:43.920> simple<00:02:44.319> problems<00:02:44.640> he
that they expect simple problems he
that they expect simple problems he
called<00:02:44.959> it<00:02:45.120> an<00:02:45.360> impatience<00:02:46.000> with<00:02:46.160> ear
called it an impatience with ear
called it an impatience with ear
resolution<00:02:47.360> you're<00:02:47.599> impatient<00:02:48.160> with<00:02:48.319> things
resolution you're impatient with things
resolution you're impatient with things
that<00:02:48.720> don't<00:02:48.959> resolve<00:02:49.519> quickly<00:02:50.080> you<00:02:50.239> expect
that don't resolve quickly you expect
that don't resolve quickly you expect
sitcom<00:02:51.280> size<00:02:51.760> problems<00:02:52.160> that<00:02:52.239> wrap<00:02:52.560> up<00:02:52.640> in<00:02:52.800> 22
sitcom size problems that wrap up in 22
sitcom size problems that wrap up in 22
minutes<00:02:53.920> three<00:02:54.160> commercial<00:02:54.640> breaks<00:02:54.959> and<00:02:55.360> a
minutes three commercial breaks and a
minutes three commercial breaks and a
laugh<00:02:55.760> track
laugh track
laugh track
and<00:02:57.440> i'll<00:02:57.599> put<00:02:57.760> it<00:02:57.840> to<00:02:58.000> all<00:02:58.160> of<00:02:58.239> you<00:02:58.640> what<00:02:58.800> you
and i'll put it to all of you what you
and i'll put it to all of you what you
already<00:02:59.280> know<00:02:59.760> that<00:03:00.080> no<00:03:00.319> problem<00:03:00.640> we're
already know that no problem we're
already know that no problem we're
solving<00:03:01.200> is<00:03:01.280> that<00:03:01.519> simple
solving is that simple
solving is that simple
i'm<00:03:02.879> very<00:03:03.120> concerned<00:03:03.599> about<00:03:03.760> this<00:03:03.920> because
i'm very concerned about this because
i'm very concerned about this because
i'm<00:03:04.560> going<00:03:04.640> to<00:03:04.720> retire<00:03:05.280> in<00:03:05.440> a<00:03:05.519> world<00:03:05.840> that<00:03:06.000> my
i'm going to retire in a world that my
i'm going to retire in a world that my
students<00:03:06.560> will<00:03:06.720> run
students will run
students will run
i'm<00:03:07.920> doing<00:03:08.159> i'm<00:03:08.319> doing<00:03:08.720> i'm<00:03:08.879> doing<00:03:09.200> bad<00:03:09.519> things
i'm doing i'm doing i'm doing bad things
i'm doing i'm doing i'm doing bad things
to<00:03:09.920> my<00:03:10.080> own<00:03:10.319> future<00:03:10.720> and<00:03:10.800> well-being<00:03:11.599> when<00:03:11.840> i
to my own future and well-being when i
to my own future and well-being when i
teach<00:03:12.400> this<00:03:12.640> way<00:03:12.959> i'm<00:03:13.120> here<00:03:13.280> to<00:03:13.360> tell<00:03:13.519> you<00:03:13.680> that
teach this way i'm here to tell you that
teach this way i'm here to tell you that
the<00:03:13.920> way<00:03:14.239> our<00:03:14.480> textbooks<00:03:15.360> particularly<00:03:16.480> mass
the way our textbooks particularly mass
the way our textbooks particularly mass
adopted<00:03:17.280> textbooks<00:03:17.840> teach<00:03:18.159> math<00:03:18.480> reasoning
adopted textbooks teach math reasoning
adopted textbooks teach math reasoning
and<00:03:19.440> patient<00:03:19.840> problem<00:03:20.159> solving<00:03:20.720> it's
and patient problem solving it's
and patient problem solving it's
functionally<00:03:21.599> equivalent<00:03:22.080> to<00:03:22.159> turning<00:03:22.400> on
functionally equivalent to turning on
functionally equivalent to turning on
two<00:03:22.720> and<00:03:22.800> a<00:03:22.879> half<00:03:23.120> men<00:03:23.280> and<00:03:23.360> calling<00:03:23.680> it<00:03:23.760> a<00:03:23.840> day
in<00:03:26.800> all<00:03:26.959> seriousness<00:03:28.080> here's<00:03:28.319> an<00:03:28.400> example
in all seriousness here's an example
in all seriousness here's an example
from<00:03:28.879> a<00:03:28.959> physics<00:03:29.200> textbook<00:03:29.599> it<00:03:29.760> applies
from a physics textbook it applies
from a physics textbook it applies
equally<00:03:30.400> to<00:03:30.560> math<00:03:31.200> notice<00:03:32.080> first<00:03:32.400> of<00:03:32.560> all<00:03:32.640> here
equally to math notice first of all here
equally to math notice first of all here
that<00:03:32.879> you<00:03:33.040> have<00:03:33.280> exactly<00:03:33.920> three<00:03:34.239> pieces<00:03:34.560> of
that you have exactly three pieces of
that you have exactly three pieces of
information<00:03:35.200> there<00:03:35.760> each<00:03:36.080> of<00:03:36.159> which<00:03:36.640> will
information there each of which will
information there each of which will
figure<00:03:37.200> into<00:03:37.360> a<00:03:37.519> formula<00:03:38.080> somewhere
figure into a formula somewhere
figure into a formula somewhere
eventually<00:03:39.360> which<00:03:39.519> the<00:03:39.680> student<00:03:39.920> will<00:03:40.080> then
eventually which the student will then
eventually which the student will then
compute<00:03:41.120> okay<00:03:41.599> i<00:03:41.760> believe<00:03:42.000> in<00:03:42.080> real<00:03:42.319> life<00:03:42.640> and
compute okay i believe in real life and
compute okay i believe in real life and
ask<00:03:43.280> yourselves<00:03:43.680> what<00:03:43.920> problem<00:03:44.159> have<00:03:44.319> you
ask yourselves what problem have you
ask yourselves what problem have you
solved<00:03:45.120> ever<00:03:45.360> that<00:03:45.519> was<00:03:45.680> worth<00:03:46.000> solving<00:03:46.640> where
solved ever that was worth solving where
solved ever that was worth solving where
you<00:03:47.040> knew<00:03:47.360> all<00:03:47.519> of<00:03:47.599> the<00:03:47.760> given<00:03:48.159> information<00:03:48.560> in
you knew all of the given information in
you knew all of the given information in
advance<00:03:49.200> or<00:03:49.360> you<00:03:49.440> didn't<00:03:49.680> have<00:03:49.840> a<00:03:50.000> surplus<00:03:50.480> of
advance or you didn't have a surplus of
advance or you didn't have a surplus of
information<00:03:51.200> and<00:03:51.280> you<00:03:51.440> had<00:03:51.519> to<00:03:51.680> filter<00:03:52.000> it<00:03:52.159> out
information and you had to filter it out
information and you had to filter it out
or<00:03:52.799> you<00:03:52.959> didn't<00:03:53.120> have<00:03:53.599> insufficient
or you didn't have insufficient
or you didn't have insufficient
information<00:03:54.560> and<00:03:54.640> had<00:03:54.799> to<00:03:54.879> go<00:03:55.040> find<00:03:55.360> some
information and had to go find some
information and had to go find some
i'm<00:03:56.640> sure<00:03:56.799> we<00:03:56.879> all<00:03:57.040> agree<00:03:57.280> that<00:03:57.439> no<00:03:57.680> problem
i'm sure we all agree that no problem
i'm sure we all agree that no problem
we're<00:03:58.080> solving<00:03:58.400> is<00:03:58.560> like<00:03:58.720> that<00:03:59.280> and<00:03:59.439> the
we're solving is like that and the
we're solving is like that and the
textbook<00:04:00.239> i<00:04:00.319> think<00:04:00.640> knows<00:04:01.040> how<00:04:01.280> it's
textbook i think knows how it's
textbook i think knows how it's
hamstringing<00:04:02.319> students<00:04:02.560> because<00:04:02.799> watch<00:04:03.040> this
hamstringing students because watch this
hamstringing students because watch this
this<00:04:03.519> is<00:04:03.680> the<00:04:03.840> practice<00:04:04.319> problem<00:04:04.720> set<00:04:05.040> when<00:04:05.200> it
this is the practice problem set when it
this is the practice problem set when it
comes<00:04:05.519> time<00:04:05.680> to<00:04:06.000> the<00:04:06.159> actual<00:04:06.560> problem<00:04:06.879> set<00:04:07.360> you
comes time to the actual problem set you
comes time to the actual problem set you
have<00:04:08.080> problems<00:04:08.400> like<00:04:08.480> this<00:04:08.640> right<00:04:08.799> here<00:04:08.959> where
have problems like this right here where
have problems like this right here where
we're<00:04:09.280> just<00:04:09.439> swapping<00:04:09.840> out<00:04:10.000> numbers<00:04:10.480> and
we're just swapping out numbers and
we're just swapping out numbers and
tweaking<00:04:10.959> the<00:04:11.040> context<00:04:11.439> a<00:04:11.519> little<00:04:11.760> bit<00:04:12.159> and
tweaking the context a little bit and
tweaking the context a little bit and
the<00:04:12.560> student<00:04:12.879> still<00:04:13.120> doesn't<00:04:13.360> recognize<00:04:13.840> the
the student still doesn't recognize the
the student still doesn't recognize the
stamp<00:04:14.400> this<00:04:14.560> is<00:04:14.720> molded<00:04:15.120> from<00:04:15.599> it<00:04:15.840> helpfully
stamp this is molded from it helpfully
stamp this is molded from it helpfully
explains<00:04:16.880> to<00:04:17.040> you<00:04:17.199> like<00:04:17.440> what<00:04:17.759> what<00:04:18.079> sample
explains to you like what what sample
explains to you like what what sample
problem<00:04:18.720> you<00:04:18.799> can<00:04:18.959> return<00:04:19.359> to<00:04:19.600> to<00:04:19.680> find<00:04:19.840> the
problem you can return to to find the
problem you can return to to find the
formula<00:04:20.799> you<00:04:20.959> could<00:04:21.199> literally<00:04:21.519> i<00:04:21.600> mean<00:04:21.840> this
formula you could literally i mean this
formula you could literally i mean this
past<00:04:22.400> this<00:04:22.639> particular<00:04:23.199> unit<00:04:23.440> without
past this particular unit without
past this particular unit without
knowing<00:04:24.080> any<00:04:24.320> physics<00:04:25.120> just<00:04:25.360> knowing<00:04:25.680> how<00:04:25.840> to
knowing any physics just knowing how to
knowing any physics just knowing how to
decode<00:04:26.320> a<00:04:26.400> textbook<00:04:27.360> that's<00:04:27.600> a<00:04:27.680> shame
decode a textbook that's a shame
decode a textbook that's a shame
so<00:04:29.120> i<00:04:29.199> can<00:04:29.360> diagnose<00:04:29.759> the<00:04:29.919> problem<00:04:30.160> a<00:04:30.240> little
so i can diagnose the problem a little
so i can diagnose the problem a little
more<00:04:30.639> specifically<00:04:31.120> in<00:04:31.280> math<00:04:31.759> here's<00:04:32.000> a
more specifically in math here's a
more specifically in math here's a
really<00:04:32.479> cool<00:04:32.639> problem<00:04:32.960> i<00:04:33.040> like<00:04:33.199> this<00:04:33.440> it's
really cool problem i like this it's
really cool problem i like this it's
about<00:04:34.080> defining<00:04:34.639> steepness<00:04:35.280> and<00:04:35.520> slope<00:04:36.160> using
about defining steepness and slope using
about defining steepness and slope using
a<00:04:36.639> ski<00:04:36.960> lift<00:04:37.120> but<00:04:37.280> what<00:04:37.360> you<00:04:37.440> have<00:04:37.680> here<00:04:37.840> is
a ski lift but what you have here is
a ski lift but what you have here is
actually<00:04:38.400> four<00:04:38.800> separate<00:04:39.120> layers<00:04:39.520> i'm
actually four separate layers i'm
actually four separate layers i'm
curious<00:04:40.560> which<00:04:40.800> of<00:04:40.960> you<00:04:41.040> can<00:04:41.280> see<00:04:41.440> the<00:04:41.600> four
curious which of you can see the four
curious which of you can see the four
separate<00:04:42.240> layers<00:04:42.560> and<00:04:42.720> particularly<00:04:43.840> how
separate layers and particularly how
separate layers and particularly how
when<00:04:44.160> they're<00:04:44.320> compressed<00:04:44.800> together<00:04:45.199> and
when they're compressed together and
when they're compressed together and
present<00:04:45.840> the<00:04:46.000> student<00:04:46.240> all<00:04:46.400> at<00:04:46.560> once<00:04:47.199> how<00:04:47.360> that
present the student all at once how that
present the student all at once how that
creates<00:04:47.919> that<00:04:48.080> this<00:04:48.400> impatient<00:04:48.960> problem
creates that this impatient problem
creates that this impatient problem
solving<00:04:50.160> i'll<00:04:50.320> define<00:04:50.720> them<00:04:50.800> here<00:04:51.120> you<00:04:51.280> have
solving i'll define them here you have
solving i'll define them here you have
the<00:04:51.520> visual<00:04:52.000> okay<00:04:52.400> you<00:04:52.560> also<00:04:52.720> have<00:04:52.800> the
the visual okay you also have the
the visual okay you also have the
mathematical<00:04:53.520> structure<00:04:54.000> talking<00:04:54.320> about
mathematical structure talking about
mathematical structure talking about
grids<00:04:55.280> measurements<00:04:55.919> labels<00:04:56.479> points<00:04:57.040> axes
grids measurements labels points axes
grids measurements labels points axes
that<00:04:57.600> sort<00:04:57.840> of<00:04:57.919> thing<00:04:58.080> you<00:04:58.240> have<00:04:58.479> sub<00:04:58.800> steps
that sort of thing you have sub steps
that sort of thing you have sub steps
which<00:04:59.680> all<00:04:59.919> lead<00:05:00.080> to<00:05:00.240> what<00:05:00.320> we<00:05:00.479> really<00:05:00.639> want<00:05:00.800> to
which all lead to what we really want to
which all lead to what we really want to
talk<00:05:01.120> about<00:05:01.680> which<00:05:02.000> section<00:05:02.400> is<00:05:02.479> the<00:05:02.639> steepest
talk about which section is the steepest
talk about which section is the steepest
so<00:05:04.320> i<00:05:04.400> hope<00:05:04.639> you<00:05:04.800> can<00:05:04.960> see<00:05:05.280> i<00:05:05.440> really<00:05:05.600> hope<00:05:05.840> you
so i hope you can see i really hope you
so i hope you can see i really hope you
can<00:05:06.000> see<00:05:06.240> how<00:05:06.320> what<00:05:06.479> we're<00:05:06.560> doing<00:05:06.800> here<00:05:06.960> is
can see how what we're doing here is
can see how what we're doing here is
taking<00:05:07.600> a<00:05:07.680> compelling<00:05:08.240> question<00:05:08.479> a
taking a compelling question a
taking a compelling question a
compelling<00:05:09.039> answer<00:05:09.440> but<00:05:09.600> we're<00:05:09.919> paving<00:05:10.400> a
compelling answer but we're paving a
compelling answer but we're paving a
smooth<00:05:11.120> straight<00:05:11.840> path<00:05:12.160> from<00:05:12.320> one<00:05:12.479> to<00:05:12.639> the
smooth straight path from one to the
smooth straight path from one to the
other<00:05:13.199> and<00:05:13.360> congratulating<00:05:14.160> our<00:05:14.320> students
other and congratulating our students
other and congratulating our students
for<00:05:14.800> how<00:05:14.960> well<00:05:15.120> they<00:05:15.199> can<00:05:15.360> step<00:05:15.680> over<00:05:15.840> the
for how well they can step over the
for how well they can step over the
small<00:05:16.240> cracks<00:05:16.479> in<00:05:16.560> the<00:05:16.639> way<00:05:17.199> that's<00:05:17.520> all<00:05:17.680> we're
small cracks in the way that's all we're
small cracks in the way that's all we're
doing<00:05:18.080> here
doing here
doing here
so<00:05:19.600> i<00:05:19.680> want<00:05:19.759> to<00:05:19.919> put<00:05:20.080> you<00:05:20.320> if<00:05:20.479> we<00:05:20.639> can<00:05:20.800> separate
so i want to put you if we can separate
so i want to put you if we can separate
these<00:05:21.280> in<00:05:21.360> a<00:05:21.520> different<00:05:21.759> way<00:05:22.000> and<00:05:22.160> build<00:05:22.400> them
these in a different way and build them
these in a different way and build them
up<00:05:22.639> with<00:05:22.800> students<00:05:23.600> we<00:05:23.759> can<00:05:24.000> have<00:05:24.400> everything
up with students we can have everything
up with students we can have everything
we're<00:05:24.960> looking<00:05:25.199> for<00:05:25.440> in<00:05:25.520> terms<00:05:25.759> of<00:05:25.840> patient
we're looking for in terms of patient
we're looking for in terms of patient
problem<00:05:26.400> solving<00:05:26.720> so<00:05:26.880> right<00:05:27.039> here<00:05:27.440> i<00:05:27.680> start
problem solving so right here i start
problem solving so right here i start
with<00:05:28.080> the<00:05:28.240> visual<00:05:28.639> and<00:05:28.800> i<00:05:29.039> immediately<00:05:29.680> ask
with the visual and i immediately ask
with the visual and i immediately ask
the<00:05:30.160> question<00:05:30.880> which<00:05:31.199> section<00:05:31.600> is<00:05:31.680> the
the question which section is the
the question which section is the
steepest<00:05:32.400> and<00:05:32.479> this<00:05:32.720> starts<00:05:33.039> conversation
steepest and this starts conversation
steepest and this starts conversation
because<00:05:34.000> the<00:05:34.160> visual<00:05:34.880> is<00:05:35.120> created<00:05:35.520> in<00:05:35.600> such<00:05:35.759> a
because the visual is created in such a
because the visual is created in such a
way<00:05:36.000> where<00:05:36.160> you<00:05:36.240> can<00:05:36.320> defend<00:05:36.720> two<00:05:36.960> answers<00:05:37.520> so
way where you can defend two answers so
way where you can defend two answers so
we<00:05:37.840> get<00:05:38.080> people<00:05:38.479> arguing<00:05:39.039> against<00:05:39.360> each<00:05:39.520> other
we get people arguing against each other
we get people arguing against each other
friend<00:05:39.919> versus<00:05:40.400> friend<00:05:40.800> uh<00:05:41.360> in<00:05:41.600> pairs
friend versus friend uh in pairs
friend versus friend uh in pairs
journaling<00:05:42.720> whatever<00:05:43.600> and<00:05:43.680> then<00:05:43.919> eventually
journaling whatever and then eventually
journaling whatever and then eventually
we<00:05:44.720> realize<00:05:45.120> it's<00:05:45.360> it's<00:05:45.520> getting<00:05:45.759> annoying<00:05:46.479> to
we realize it's it's getting annoying to
we realize it's it's getting annoying to
talk<00:05:46.960> about<00:05:47.199> the<00:05:47.360> skier<00:05:47.759> in<00:05:47.840> the<00:05:47.919> lower
talk about the skier in the lower
talk about the skier in the lower
left-hand<00:05:48.639> side<00:05:48.880> of<00:05:48.960> the<00:05:49.120> screen<00:05:49.600> or<00:05:50.000> the
left-hand side of the screen or the
left-hand side of the screen or the
skier<00:05:50.479> just<00:05:50.639> above<00:05:50.880> the<00:05:50.960> midline<00:05:51.600> and<00:05:51.759> we
skier just above the midline and we
skier just above the midline and we
realized<00:05:52.160> how<00:05:52.479> great<00:05:52.639> would<00:05:52.800> it<00:05:52.880> be<00:05:52.960> if<00:05:53.039> we
realized how great would it be if we
realized how great would it be if we
just<00:05:53.280> had<00:05:53.440> some<00:05:53.600> a<00:05:53.919> b<00:05:54.160> c<00:05:54.400> and<00:05:54.479> d<00:05:54.720> labels<00:05:55.199> to<00:05:55.360> talk
just had some a b c and d labels to talk
just had some a b c and d labels to talk
about<00:05:55.759> them<00:05:55.919> more<00:05:56.160> easily
about them more easily
about them more easily
and<00:05:57.520> then<00:05:57.840> and<00:05:57.919> then<00:05:58.160> as<00:05:58.320> we<00:05:58.560> start<00:05:58.720> to<00:05:58.800> define
and then and then as we start to define
and then and then as we start to define
like<00:05:59.440> what<00:05:59.600> what<00:05:59.759> does<00:05:59.919> steepness<00:06:00.400> mean<00:06:00.639> we
like what what does steepness mean we
like what what does steepness mean we
realize<00:06:01.120> it'd<00:06:01.199> be<00:06:01.360> nice<00:06:01.600> to<00:06:01.680> have<00:06:01.840> some
realize it'd be nice to have some
realize it'd be nice to have some
measurements<00:06:02.639> to<00:06:02.800> really<00:06:03.039> narrow<00:06:03.360> it<00:06:03.520> down
measurements to really narrow it down
measurements to really narrow it down
specifically<00:06:04.639> what<00:06:04.800> that<00:06:04.960> means<00:06:05.520> and<00:06:05.759> then
specifically what that means and then
specifically what that means and then
and<00:06:06.479> only<00:06:06.720> then<00:06:06.960> we<00:06:07.199> throw<00:06:07.440> down<00:06:07.600> that
and only then we throw down that
and only then we throw down that
mathematical<00:06:08.479> structure<00:06:09.440> the<00:06:09.600> math<00:06:10.000> serves
mathematical structure the math serves
mathematical structure the math serves
the<00:06:10.400> conversation<00:06:11.039> the<00:06:11.120> conversation
the conversation the conversation
the conversation the conversation
doesn't<00:06:12.160> serve<00:06:12.400> the<00:06:12.560> math
doesn't serve the math
doesn't serve the math
and<00:06:14.160> at<00:06:14.240> that<00:06:14.400> point<00:06:14.639> i'll<00:06:14.800> put<00:06:14.880> it<00:06:14.960> to<00:06:15.039> you
and at that point i'll put it to you
and at that point i'll put it to you
that<00:06:15.280> nine<00:06:15.520> out<00:06:15.600> of<00:06:15.680> ten<00:06:15.919> classes<00:06:16.240> are<00:06:16.400> good<00:06:16.560> to
that nine out of ten classes are good to
that nine out of ten classes are good to
go<00:06:17.039> on<00:06:17.120> the<00:06:17.199> whole<00:06:17.440> slopes<00:06:17.840> deepness<00:06:18.240> thing
go on the whole slopes deepness thing
go on the whole slopes deepness thing
but<00:06:18.800> if<00:06:18.880> you<00:06:19.039> need<00:06:19.280> to<00:06:19.840> your<00:06:20.080> students<00:06:20.319> can
but if you need to your students can
but if you need to your students can
then<00:06:20.720> develop<00:06:21.039> those<00:06:21.199> sub<00:06:21.360> steps<00:06:21.680> together
then develop those sub steps together
then develop those sub steps together
do<00:06:22.880> you<00:06:22.960> guys<00:06:23.280> see<00:06:23.520> how<00:06:23.759> this<00:06:24.000> right<00:06:24.160> here
do you guys see how this right here
do you guys see how this right here
compared<00:06:24.720> to<00:06:24.880> that<00:06:24.960> which<00:06:25.199> one<00:06:25.360> creates<00:06:25.680> that
compared to that which one creates that
compared to that which one creates that
patient<00:06:26.479> problem<00:06:26.800> solving<00:06:27.039> that<00:06:27.199> math
patient problem solving that math
patient problem solving that math
reasoning<00:06:27.919> it's<00:06:28.080> been<00:06:28.319> obvious<00:06:28.800> in<00:06:28.880> my
reasoning it's been obvious in my
reasoning it's been obvious in my
practice<00:06:29.840> to<00:06:30.000> me
practice to me
practice to me
and<00:06:31.199> i'll<00:06:31.360> yield<00:06:31.600> the<00:06:31.680> floor<00:06:32.000> here<00:06:32.160> for<00:06:32.240> a
and i'll yield the floor here for a
and i'll yield the floor here for a
second<00:06:32.560> to<00:06:32.720> einstein<00:06:33.199> who<00:06:33.360> i<00:06:33.440> believe<00:06:33.680> has
second to einstein who i believe has
second to einstein who i believe has
paid<00:06:34.080> his<00:06:34.240> dues<00:06:34.960> he<00:06:35.120> talked<00:06:35.280> about<00:06:35.440> the
paid his dues he talked about the
paid his dues he talked about the
formulation<00:06:36.080> of<00:06:36.160> a<00:06:36.240> problem<00:06:36.479> being<00:06:36.800> so
formulation of a problem being so
formulation of a problem being so
incredibly<00:06:37.759> important<00:06:38.400> and<00:06:38.560> yet<00:06:38.880> in<00:06:39.039> my
incredibly important and yet in my
incredibly important and yet in my
practice<00:06:39.840> in<00:06:39.919> the<00:06:40.000> u.s<00:06:40.400> here<00:06:40.800> we<00:06:40.960> just<00:06:41.199> give
practice in the u.s here we just give
practice in the u.s here we just give
problems<00:06:41.759> with<00:06:41.840> students<00:06:42.080> we<00:06:42.160> don't<00:06:42.319> involve
problems with students we don't involve
problems with students we don't involve
them<00:06:42.800> in<00:06:43.039> the<00:06:43.199> formulation<00:06:44.160> of<00:06:44.240> the<00:06:44.479> problem
them in the formulation of the problem
them in the formulation of the problem
so<00:06:46.880> 90<00:06:47.280> percent<00:06:47.600> of<00:06:47.840> what<00:06:48.000> i<00:06:48.160> do<00:06:48.560> uh<00:06:48.800> with<00:06:49.039> my
so 90 percent of what i do uh with my
so 90 percent of what i do uh with my
five<00:06:49.600> hours<00:06:49.759> of<00:06:49.919> prep<00:06:50.160> time<00:06:50.400> per<00:06:50.560> week<00:06:50.800> is<00:06:50.960> to
five hours of prep time per week is to
five hours of prep time per week is to
take<00:06:51.759> fairly<00:06:52.240> compelling<00:06:52.880> elements<00:06:53.280> of
take fairly compelling elements of
take fairly compelling elements of
problems<00:06:53.759> like<00:06:53.840> this<00:06:54.000> from<00:06:54.160> my<00:06:54.319> textbook<00:06:54.800> and
problems like this from my textbook and
problems like this from my textbook and
rebuild<00:06:55.440> them<00:06:55.680> in<00:06:55.759> a<00:06:55.840> way<00:06:56.000> that<00:06:56.160> supports<00:06:56.960> math
rebuild them in a way that supports math
rebuild them in a way that supports math
reasoning<00:06:57.680> and<00:06:57.840> patient<00:06:58.240> problem<00:06:58.560> solving
reasoning and patient problem solving
reasoning and patient problem solving
and<00:06:59.199> here's<00:06:59.440> how<00:06:59.599> it<00:06:59.680> works<00:07:00.160> i<00:07:00.319> like<00:07:00.479> this
and here's how it works i like this
and here's how it works i like this
question<00:07:01.039> it's<00:07:01.199> about<00:07:01.440> a<00:07:01.520> water<00:07:01.759> tank<00:07:02.000> the
question it's about a water tank the
question it's about a water tank the
question<00:07:02.400> is<00:07:02.479> how<00:07:02.639> long<00:07:02.800> will<00:07:02.960> it<00:07:03.039> take<00:07:03.199> you<00:07:03.280> to
question is how long will it take you to
question is how long will it take you to
fill<00:07:03.520> it<00:07:03.680> up<00:07:03.759> okay
fill it up okay
fill it up okay
first<00:07:04.800> things<00:07:05.039> first<00:07:05.280> we<00:07:05.440> eliminate<00:07:06.000> all<00:07:06.080> the
first things first we eliminate all the
first things first we eliminate all the
sub<00:07:06.479> steps<00:07:06.960> students<00:07:07.440> have<00:07:07.599> to<00:07:07.759> develop<00:07:08.080> those
sub steps students have to develop those
sub steps students have to develop those
they<00:07:08.880> have<00:07:09.039> to<00:07:09.199> formulate<00:07:09.599> those<00:07:10.160> and<00:07:10.240> then
they have to formulate those and then
they have to formulate those and then
notice<00:07:10.800> that<00:07:11.039> all<00:07:11.120> the<00:07:11.280> information<00:07:11.759> written
notice that all the information written
notice that all the information written
on<00:07:12.160> there<00:07:12.560> is<00:07:12.720> stuff<00:07:12.960> you'll<00:07:13.120> need<00:07:13.360> none<00:07:13.520> of
on there is stuff you'll need none of
on there is stuff you'll need none of
it's<00:07:13.759> a<00:07:13.919> distractor<00:07:14.560> so<00:07:14.720> we<00:07:14.800> lose<00:07:15.039> that
it's a distractor so we lose that
it's a distractor so we lose that
students<00:07:16.080> need<00:07:16.240> to<00:07:16.400> decide<00:07:17.039> all<00:07:17.199> right<00:07:17.360> well
students need to decide all right well
students need to decide all right well
does<00:07:17.840> the<00:07:17.919> height<00:07:18.160> matter<00:07:18.479> does<00:07:18.720> the<00:07:18.880> side
does the height matter does the side
does the height matter does the side
length<00:07:19.360> matter<00:07:19.840> does<00:07:20.080> the<00:07:20.160> color<00:07:20.479> of<00:07:20.560> the
length matter does the color of the
length matter does the color of the
valve<00:07:21.039> matter<00:07:21.440> what<00:07:21.680> matters<00:07:22.080> here<00:07:22.400> such<00:07:22.560> an
valve matter what matters here such an
valve matter what matters here such an
underrepresented<00:07:23.520> question<00:07:23.919> math
underrepresented question math
underrepresented question math
curriculum<00:07:25.039> so<00:07:25.199> now<00:07:25.360> we<00:07:25.440> have<00:07:25.840> a<00:07:26.000> water<00:07:26.319> tank
curriculum so now we have a water tank
curriculum so now we have a water tank
how<00:07:27.039> long<00:07:27.280> will<00:07:27.440> it<00:07:27.520> take<00:07:27.599> you<00:07:27.759> to<00:07:27.840> fill<00:07:28.000> it<00:07:28.160> up
how long will it take you to fill it up
how long will it take you to fill it up
and<00:07:28.560> that's<00:07:28.800> it
and that's it
and that's it
and<00:07:30.000> because<00:07:30.319> this<00:07:30.479> is<00:07:30.639> the<00:07:30.720> 21st<00:07:31.199> century<00:07:31.680> and
and because this is the 21st century and
and because this is the 21st century and
we<00:07:31.840> would<00:07:32.160> love<00:07:32.400> to<00:07:32.560> talk<00:07:32.800> about<00:07:33.039> the<00:07:33.199> real
we would love to talk about the real
we would love to talk about the real
world<00:07:33.840> on<00:07:34.000> its<00:07:34.160> own<00:07:34.400> terms<00:07:34.960> not<00:07:35.199> in<00:07:35.280> terms<00:07:35.599> of
world on its own terms not in terms of
world on its own terms not in terms of
line<00:07:36.479> art<00:07:36.720> or<00:07:36.960> clip<00:07:37.280> art<00:07:37.440> that<00:07:37.520> you<00:07:37.680> so<00:07:37.919> often
line art or clip art that you so often
line art or clip art that you so often
see<00:07:38.880> in<00:07:39.039> textbooks<00:07:39.520> we<00:07:39.680> go<00:07:39.759> out<00:07:39.840> and<00:07:40.000> take<00:07:40.160> a
see in textbooks we go out and take a
see in textbooks we go out and take a
picture<00:07:40.479> of<00:07:40.639> it
picture of it
picture of it
so<00:07:41.680> now<00:07:41.840> we<00:07:41.919> have<00:07:42.080> the<00:07:42.240> real<00:07:42.479> deal<00:07:42.960> how<00:07:43.199> long
so now we have the real deal how long
so now we have the real deal how long
will<00:07:43.599> it<00:07:43.680> take<00:07:43.919> it<00:07:44.000> to<00:07:44.080> fill<00:07:44.319> it<00:07:44.479> up
will it take it to fill it up
will it take it to fill it up
and<00:07:45.599> then<00:07:45.919> even<00:07:46.240> better<00:07:46.639> is<00:07:46.800> we<00:07:46.960> take<00:07:47.120> a<00:07:47.280> video
and then even better is we take a video
and then even better is we take a video
a<00:07:48.000> video<00:07:48.400> of<00:07:48.560> someone<00:07:49.360> filling<00:07:49.680> it<00:07:49.840> up<00:07:50.319> and
a video of someone filling it up and
a video of someone filling it up and
it's<00:07:50.639> filling<00:07:50.880> up<00:07:51.120> slowly<00:07:51.680> agonizingly
it's filling up slowly agonizingly
it's filling up slowly agonizingly
slowly<00:07:52.960> it's<00:07:53.280> tedious<00:07:54.160> students<00:07:54.560> are<00:07:54.639> looking
slowly it's tedious students are looking
slowly it's tedious students are looking
at<00:07:54.960> their<00:07:55.120> watches<00:07:55.520> rolling<00:07:55.840> their<00:07:56.000> eyes<00:07:56.560> and
at their watches rolling their eyes and
at their watches rolling their eyes and
they're<00:07:56.960> all<00:07:57.280> wondering<00:07:57.680> at<00:07:57.840> some<00:07:58.080> point<00:07:58.400> or
they're all wondering at some point or
they're all wondering at some point or
another<00:07:59.360> man<00:07:59.840> how<00:08:00.240> long<00:08:00.479> is<00:08:00.560> it<00:08:00.639> going<00:08:00.720> to<00:08:00.800> take
another man how long is it going to take
another man how long is it going to take
to<00:08:01.199> fill<00:08:01.520> up
[Laughter]
[Laughter]
[Laughter]
that's<00:08:07.360> how<00:08:07.520> you<00:08:07.759> know<00:08:08.000> you<00:08:08.240> baited<00:08:08.560> the<00:08:08.720> hook
that's how you know you baited the hook
that's how you know you baited the hook
right
and<00:08:12.000> and<00:08:12.160> that<00:08:12.479> question<00:08:12.960> off<00:08:13.199> this<00:08:13.440> right
and and that question off this right
and and that question off this right
here<00:08:13.840> is<00:08:14.000> really<00:08:14.319> fun<00:08:14.560> for<00:08:14.639> me<00:08:14.800> because<00:08:14.960> like<00:08:15.120> i
here is really fun for me because like i
here is really fun for me because like i
like<00:08:15.440> the<00:08:15.599> intro<00:08:15.919> i<00:08:16.080> teach<00:08:16.479> i<00:08:16.639> teach<00:08:16.960> kids<00:08:17.440> uh
like the intro i teach i teach kids uh
like the intro i teach i teach kids uh
because<00:08:17.919> of<00:08:18.000> my<00:08:18.240> inexperience<00:08:18.800> i<00:08:18.879> teach<00:08:19.120> the
because of my inexperience i teach the
because of my inexperience i teach the
kids<00:08:19.520> that<00:08:19.680> are<00:08:19.840> the<00:08:20.000> most<00:08:20.240> remedial<00:08:20.879> all
kids that are the most remedial all
kids that are the most remedial all
right<00:08:21.599> and<00:08:21.840> i<00:08:21.919> got<00:08:22.080> kids<00:08:22.319> who<00:08:22.560> will<00:08:22.800> not<00:08:23.199> join<00:08:23.520> a
right and i got kids who will not join a
right and i got kids who will not join a
conversation<00:08:24.240> about<00:08:24.479> math<00:08:24.720> because<00:08:24.960> there's
conversation about math because there's
conversation about math because there's
like<00:08:25.599> someone<00:08:25.919> else<00:08:26.080> has<00:08:26.240> the<00:08:26.319> formula
like someone else has the formula
like someone else has the formula
someone<00:08:27.120> else<00:08:27.599> knows<00:08:27.759> how<00:08:27.840> to<00:08:27.919> work<00:08:28.080> the
someone else knows how to work the
someone else knows how to work the
formula<00:08:28.960> better<00:08:29.199> than<00:08:29.280> me<00:08:29.520> so<00:08:29.599> i<00:08:29.680> won't<00:08:29.919> i
formula better than me so i won't i
formula better than me so i won't i
won't<00:08:30.160> talk<00:08:30.400> about<00:08:30.560> it<00:08:30.639> but<00:08:30.800> here<00:08:31.440> every
won't talk about it but here every
won't talk about it but here every
student<00:08:32.000> is<00:08:32.159> on<00:08:32.240> the<00:08:32.320> level<00:08:32.719> playing<00:08:33.120> field<00:08:33.440> of
student is on the level playing field of
student is on the level playing field of
intuition<00:08:34.719> like<00:08:34.959> everyone's<00:08:35.440> filled
intuition like everyone's filled
intuition like everyone's filled
something<00:08:36.159> up<00:08:36.240> with<00:08:36.399> water<00:08:36.719> before<00:08:37.279> so<00:08:37.440> i<00:08:37.519> get
something up with water before so i get
something up with water before so i get
kids<00:08:38.159> answering<00:08:38.560> the<00:08:38.719> question<00:08:39.039> how<00:08:39.279> long
kids answering the question how long
kids answering the question how long
will<00:08:39.680> it<00:08:39.760> take<00:08:40.240> i<00:08:40.320> got<00:08:40.479> kids<00:08:40.719> who<00:08:40.880> are<00:08:40.959> who<00:08:41.120> are
will it take i got kids who are who are
will it take i got kids who are who are
mathematically<00:08:41.919> and<00:08:42.080> conversationally
mathematically and conversationally
mathematically and conversationally
intimidated<00:08:43.760> joining<00:08:44.159> the<00:08:44.240> conversation<00:08:44.880> we
intimidated joining the conversation we
intimidated joining the conversation we
put<00:08:45.279> we<00:08:45.360> put<00:08:45.519> names<00:08:45.760> on<00:08:45.839> the<00:08:45.920> board
put we put names on the board
put we put names on the board
attach<00:08:47.200> them<00:08:47.360> to<00:08:47.440> guesses
attach them to guesses
attach them to guesses
and<00:08:48.560> kids<00:08:48.800> have<00:08:49.040> bought<00:08:49.279> in<00:08:49.440> here<00:08:50.000> and<00:08:50.160> then<00:08:50.240> we
and kids have bought in here and then we
and kids have bought in here and then we
follow<00:08:50.800> the<00:08:50.880> process<00:08:51.279> i've<00:08:51.360> described<00:08:52.080> and
follow the process i've described and
follow the process i've described and
the<00:08:52.480> best<00:08:52.720> part<00:08:52.959> here<00:08:53.760> or<00:08:53.920> one<00:08:54.080> of<00:08:54.080> the<00:08:54.160> better
the best part here or one of the better
the best part here or one of the better
parts<00:08:54.640> is<00:08:54.720> that<00:08:55.120> we<00:08:55.279> don't<00:08:55.440> get<00:08:55.600> our<00:08:55.760> answer
parts is that we don't get our answer
parts is that we don't get our answer
from<00:08:56.240> the<00:08:56.399> answer<00:08:56.720> key<00:08:56.880> in<00:08:56.959> the<00:08:57.040> back<00:08:57.200> of<00:08:57.279> the
from the answer key in the back of the
from the answer key in the back of the
teacher's<00:08:57.680> edition
teacher's edition
teacher's edition
we<00:08:58.880> instead<00:08:59.600> just<00:08:59.839> watch<00:09:00.160> the<00:09:00.240> end<00:09:00.399> of<00:09:00.480> the
we instead just watch the end of the
we instead just watch the end of the
movie
and<00:09:03.440> that's<00:09:03.839> terrifying<00:09:04.560> all<00:09:04.640> right<00:09:04.880> because
and that's terrifying all right because
and that's terrifying all right because
the<00:09:05.360> theoretical<00:09:06.000> models<00:09:06.320> that<00:09:06.560> always<00:09:06.880> work
the theoretical models that always work
the theoretical models that always work
out<00:09:07.279> in<00:09:07.360> the<00:09:07.440> answer<00:09:07.760> key<00:09:08.000> the<00:09:08.160> back<00:09:08.320> of<00:09:08.399> the
out in the answer key the back of the
out in the answer key the back of the
teacher's<00:09:08.720> edition<00:09:09.600> like<00:09:09.760> that's<00:09:10.080> great<00:09:10.399> but
teacher's edition like that's great but
teacher's edition like that's great but
it's<00:09:11.360> scary<00:09:11.760> to<00:09:11.839> talk<00:09:12.000> about<00:09:12.240> sources<00:09:12.560> of
it's scary to talk about sources of
it's scary to talk about sources of
error<00:09:13.200> when<00:09:13.360> the<00:09:13.440> theoretical<00:09:14.000> does<00:09:14.160> not
error when the theoretical does not
error when the theoretical does not
match<00:09:14.640> up<00:09:14.800> with<00:09:14.880> the<00:09:15.040> practical<00:09:15.839> but<00:09:16.080> those
match up with the practical but those
match up with the practical but those
conversations<00:09:16.800> have<00:09:16.880> been<00:09:17.040> so<00:09:17.360> valuable
conversations have been so valuable
conversations have been so valuable
among<00:09:18.080> the<00:09:18.160> most<00:09:18.399> valuable
among the most valuable
among the most valuable
so<00:09:19.600> i'm<00:09:19.760> here<00:09:19.920> to<00:09:20.000> report<00:09:20.640> some<00:09:20.959> really<00:09:21.279> fun
so i'm here to report some really fun
so i'm here to report some really fun
games<00:09:21.839> with<00:09:22.000> students<00:09:22.320> who<00:09:22.480> come
games with students who come
games with students who come
pre-installed<00:09:23.519> with<00:09:23.600> these<00:09:23.839> viruses<00:09:24.399> day<00:09:24.640> one
pre-installed with these viruses day one
pre-installed with these viruses day one
of<00:09:24.880> the<00:09:24.959> class<00:09:25.440> okay<00:09:26.000> these<00:09:26.240> are<00:09:26.320> kids<00:09:26.640> who
of the class okay these are kids who
of the class okay these are kids who
who<00:09:27.680> now<00:09:28.000> one<00:09:28.160> semester<00:09:28.720> in<00:09:28.880> i<00:09:28.959> can<00:09:29.200> put
who now one semester in i can put
who now one semester in i can put
something<00:09:29.680> on<00:09:29.839> the<00:09:29.920> board<00:09:30.320> totally<00:09:30.720> new
something on the board totally new
something on the board totally new
totally<00:09:31.519> foreign<00:09:32.080> and<00:09:32.240> they'll<00:09:32.399> have<00:09:32.560> a
totally foreign and they'll have a
totally foreign and they'll have a
conversation<00:09:33.120> about<00:09:33.360> it<00:09:33.440> for<00:09:33.600> three<00:09:33.760> or<00:09:33.920> four
conversation about it for three or four
conversation about it for three or four
minutes<00:09:34.399> more<00:09:34.800> than<00:09:35.040> they<00:09:35.120> would<00:09:35.279> have<00:09:35.360> at<00:09:35.440> the
minutes more than they would have at the
minutes more than they would have at the
start<00:09:35.600> of<00:09:35.680> the<00:09:35.760> year<00:09:36.320> which<00:09:36.560> is<00:09:36.720> which<00:09:36.959> is<00:09:37.120> just
start of the year which is which is just
start of the year which is which is just
so<00:09:37.600> fun
so fun
so fun
we're<00:09:38.959> no<00:09:39.120> longer<00:09:39.519> averse<00:09:40.000> to<00:09:40.240> word<00:09:40.560> problems
we're no longer averse to word problems
we're no longer averse to word problems
because<00:09:41.440> we've<00:09:41.680> redefined<00:09:42.240> what<00:09:42.399> a<00:09:42.480> word
because we've redefined what a word
because we've redefined what a word
problem<00:09:43.120> is
problem is
problem is
we're<00:09:44.320> no<00:09:44.480> longer<00:09:44.800> intimidated<00:09:45.279> by<00:09:45.440> math
we're no longer intimidated by math
we're no longer intimidated by math
because<00:09:46.080> we're<00:09:46.240> slowly<00:09:46.720> redefining<00:09:47.279> what
because we're slowly redefining what
because we're slowly redefining what
math<00:09:47.839> is
math is
math is
this<00:09:48.800> has<00:09:48.880> been<00:09:49.040> a<00:09:49.120> lot<00:09:49.200> of<00:09:49.360> fun<00:09:50.160> i<00:09:50.320> encourage
this has been a lot of fun i encourage
this has been a lot of fun i encourage
math<00:09:50.959> users<00:09:51.279> i<00:09:51.440> talk<00:09:51.680> to<00:09:52.000> to<00:09:52.160> use<00:09:52.480> multimedia
math users i talk to to use multimedia
math users i talk to to use multimedia
because<00:09:53.360> it<00:09:53.519> brings<00:09:53.760> the<00:09:53.920> real<00:09:54.240> world<00:09:54.560> into
because it brings the real world into
because it brings the real world into
your<00:09:54.880> classroom<00:09:55.680> in<00:09:55.839> high<00:09:56.000> resolution<00:09:56.560> in
your classroom in high resolution in
your classroom in high resolution in
full<00:09:56.880> color
full color
full color
to<00:09:57.920> encourage<00:09:58.320> student<00:09:58.560> intuition<00:09:58.959> for<00:09:59.120> that
to encourage student intuition for that
to encourage student intuition for that
level<00:09:59.519> playing<00:09:59.839> field<00:10:00.480> to<00:10:00.640> ask<00:10:00.880> the<00:10:01.040> shortest
level playing field to ask the shortest
level playing field to ask the shortest
question<00:10:01.760> you<00:10:01.920> possibly<00:10:02.399> can<00:10:02.640> and<00:10:02.800> let<00:10:02.959> those
question you possibly can and let those
question you possibly can and let those
more<00:10:03.360> specific<00:10:03.839> questions<00:10:04.160> come<00:10:04.320> out<00:10:04.560> in
more specific questions come out in
more specific questions come out in
conversation
conversation
conversation
to<00:10:06.080> let<00:10:06.320> students<00:10:06.640> build<00:10:06.880> the<00:10:07.040> problem
to let students build the problem
to let students build the problem
because<00:10:07.760> einstein<00:10:08.240> said<00:10:08.480> so<00:10:09.040> and<00:10:09.200> to<00:10:09.279> finally
because einstein said so and to finally
because einstein said so and to finally
in<00:10:10.320> total<00:10:10.720> just<00:10:10.880> be<00:10:11.120> less<00:10:11.360> helpful<00:10:12.080> because<00:10:12.399> uh
in total just be less helpful because uh
in total just be less helpful because uh
the<00:10:12.720> textbook<00:10:13.279> is<00:10:13.440> helping<00:10:13.680> you<00:10:13.839> in<00:10:13.920> all<00:10:14.079> the
the textbook is helping you in all the
the textbook is helping you in all the
wrong<00:10:14.399> ways<00:10:14.720> it's<00:10:14.800> helping<00:10:15.040> you<00:10:15.360> it's<00:10:15.600> buying
wrong ways it's helping you it's buying
wrong ways it's helping you it's buying
you<00:10:16.000> out<00:10:16.160> of<00:10:16.240> your<00:10:16.399> obligation<00:10:17.120> for<00:10:17.279> patient
you out of your obligation for patient
you out of your obligation for patient
problem<00:10:17.920> solving<00:10:18.320> and<00:10:18.399> math<00:10:18.640> reasoning<00:10:19.440> to<00:10:19.680> be
problem solving and math reasoning to be
problem solving and math reasoning to be
less<00:10:20.079> helpful<00:10:20.720> and<00:10:20.880> why<00:10:21.120> this<00:10:21.279> is<00:10:21.360> an<00:10:21.519> amazing
less helpful and why this is an amazing
less helpful and why this is an amazing
time<00:10:22.160> to<00:10:22.240> be<00:10:22.320> a<00:10:22.399> math<00:10:22.560> teacher<00:10:22.880> right<00:10:23.040> now<00:10:23.279> is
time to be a math teacher right now is
time to be a math teacher right now is
because<00:10:23.519> we<00:10:23.680> have<00:10:23.760> the<00:10:23.920> tools<00:10:24.240> to<00:10:24.399> create<00:10:24.640> this
because we have the tools to create this
because we have the tools to create this
high<00:10:25.200> quality<00:10:25.600> curriculum<00:10:26.399> in<00:10:26.560> our<00:10:26.720> front
high quality curriculum in our front
high quality curriculum in our front
pocket<00:10:27.680> it's<00:10:28.000> ubiquitous<00:10:28.640> and<00:10:28.800> fairly<00:10:29.279> cheap
pocket it's ubiquitous and fairly cheap
pocket it's ubiquitous and fairly cheap
and<00:10:30.160> the<00:10:30.240> tools<00:10:30.560> to<00:10:30.800> distribute<00:10:31.360> it<00:10:31.920> freely
and the tools to distribute it freely
and the tools to distribute it freely
under<00:10:32.480> open<00:10:32.720> licenses<00:10:33.440> has<00:10:33.680> also<00:10:33.920> never<00:10:34.160> been
under open licenses has also never been
under open licenses has also never been
cheaper<00:10:34.720> or<00:10:34.880> more<00:10:35.040> ubiquitous<00:10:36.000> i<00:10:36.160> put<00:10:36.320> a<00:10:36.399> video
cheaper or more ubiquitous i put a video
cheaper or more ubiquitous i put a video
series<00:10:36.959> on<00:10:37.040> my<00:10:37.200> blog<00:10:37.519> not<00:10:37.680> so<00:10:37.839> long<00:10:38.000> ago<00:10:38.240> and<00:10:38.320> it
series on my blog not so long ago and it
series on my blog not so long ago and it
got<00:10:38.640> um<00:10:39.040> 6<00:10:39.360> 000<00:10:39.680> views<00:10:40.160> in<00:10:40.640> two<00:10:40.880> weeks<00:10:41.519> i<00:10:41.680> get
got um 6 000 views in two weeks i get
got um 6 000 views in two weeks i get
emails<00:10:42.320> still<00:10:42.560> from<00:10:42.800> from<00:10:42.959> teachers<00:10:43.360> and
emails still from from teachers and
emails still from from teachers and
countries<00:10:43.839> i've<00:10:43.920> never<00:10:44.160> visited<00:10:44.640> saying<00:10:45.120> wow
countries i've never visited saying wow
countries i've never visited saying wow
yeah<00:10:45.680> we<00:10:45.760> had<00:10:45.920> a<00:10:46.079> good<00:10:46.399> conversation<00:10:47.120> about
yeah we had a good conversation about
yeah we had a good conversation about
that<00:10:47.680> oh<00:10:47.920> and<00:10:48.000> by<00:10:48.240> the<00:10:48.320> way<00:10:48.560> here's<00:10:48.800> how<00:10:48.880> i<00:10:48.959> made
that oh and by the way here's how i made
that oh and by the way here's how i made
your<00:10:49.279> stuff<00:10:49.600> better<00:10:50.320> which<00:10:51.120> wow
your stuff better which wow
your stuff better which wow
i<00:10:52.320> put<00:10:52.560> this<00:10:52.800> problem<00:10:53.200> on<00:10:53.279> my<00:10:53.440> blog<00:10:53.760> recently
i put this problem on my blog recently
i put this problem on my blog recently
in<00:10:54.399> a<00:10:54.480> grocery<00:10:54.800> store<00:10:55.040> which<00:10:55.200> which<00:10:55.519> line<00:10:55.680> do
in a grocery store which which line do
in a grocery store which which line do
you<00:10:55.920> get<00:10:56.000> into<00:10:56.240> the<00:10:56.399> one<00:10:56.560> that<00:10:56.640> has<00:10:56.880> one<00:10:57.120> cart
you get into the one that has one cart
you get into the one that has one cart
and<00:10:57.440> 19<00:10:57.760> items<00:10:58.240> with<00:10:58.480> lined<00:10:58.720> with<00:10:58.880> with<00:10:59.040> four
and 19 items with lined with with four
and 19 items with lined with with four
cards<00:10:59.600> and<00:10:59.760> three<00:11:00.000> five<00:11:00.240> two<00:11:00.399> and<00:11:00.480> one<00:11:00.720> items
cards and three five two and one items
cards and three five two and one items
and<00:11:01.440> linear<00:11:01.839> modeling<00:11:02.399> involving<00:11:02.800> that<00:11:02.959> was
and linear modeling involving that was
and linear modeling involving that was
some<00:11:03.279> some<00:11:03.440> good<00:11:03.600> stuff<00:11:03.760> in<00:11:03.839> my<00:11:04.000> classroom<00:11:04.720> but
some some good stuff in my classroom but
some some good stuff in my classroom but
it<00:11:05.120> eventually<00:11:05.519> got<00:11:05.680> me<00:11:05.760> on<00:11:05.839> good<00:11:06.000> morning
it eventually got me on good morning
it eventually got me on good morning
america<00:11:06.640> a<00:11:06.720> few<00:11:06.880> weeks<00:11:07.120> later<00:11:07.839> which<00:11:08.079> is<00:11:08.160> just
america a few weeks later which is just
america a few weeks later which is just
bizarre<00:11:08.800> right
bizarre right
bizarre right
and<00:11:09.920> from<00:11:10.160> all<00:11:10.320> of<00:11:10.399> this<00:11:10.560> i<00:11:10.720> can<00:11:10.880> only<00:11:11.200> conclude
and from all of this i can only conclude
and from all of this i can only conclude
that<00:11:11.839> people<00:11:12.640> not<00:11:12.800> just<00:11:13.120> students<00:11:13.760> are<00:11:14.079> really
that people not just students are really
that people not just students are really
hungry<00:11:14.720> for<00:11:14.880> this
hungry for this
hungry for this
math<00:11:16.079> makes<00:11:16.320> sense<00:11:16.640> of<00:11:16.720> the<00:11:16.880> world<00:11:17.760> math<00:11:18.240> is
math makes sense of the world math is
math makes sense of the world math is
the<00:11:18.480> vocabulary<00:11:19.360> for<00:11:19.519> your<00:11:19.760> own<00:11:20.000> intuition<00:11:21.120> so
the vocabulary for your own intuition so
the vocabulary for your own intuition so
i<00:11:21.440> just<00:11:21.519> really<00:11:21.680> encourage<00:11:22.000> you<00:11:22.160> whatever
i just really encourage you whatever
i just really encourage you whatever
your<00:11:22.560> stake<00:11:22.959> is<00:11:23.279> in<00:11:23.440> education<00:11:23.920> whether
your stake is in education whether
your stake is in education whether
you're<00:11:24.320> a<00:11:24.560> student<00:11:24.959> parent<00:11:25.680> teacher<00:11:26.000> policy
you're a student parent teacher policy
you're a student parent teacher policy
maker<00:11:26.720> whatever<00:11:27.120> just<00:11:27.360> insist<00:11:28.160> on<00:11:28.399> better
maker whatever just insist on better
maker whatever just insist on better
math<00:11:28.959> curriculum
math curriculum
math curriculum
we<00:11:30.399> need<00:11:30.800> more<00:11:31.120> patient<00:11:31.600> problem<00:11:31.920> solvers
we need more patient problem solvers
we need more patient problem solvers
thank<00:11:32.560> you
Dan Meyer, math, mathematics, math, teacher, how, to, teach, math, student, TED, TEDx, TEDxNYED, TED-Ed, TED, Ed, TEDEducation
