-
8/18/2019 Math in Education
1/18
Math in Education
Dora Inman & Adam TanielianMath 420Mayville State
University
-
8/18/2019 Math in Education
2/18
Out with the old
▪ Teachercentered classrooms
▪ !assive students
▪ "#hildren are meant to $e seen%▪ #hildren seated neatly in
rows o des's
all day
▪ Individualistic( com)etitive culture
▪ *ocus on a$stract s'ills with littleattention to )ractical
a))lications
+,u$a & *reed( 2000- .a/a'( 2041
-
8/18/2019 Math in Education
3/18
In with the new
▪ Studentcentered learnin
▪ Students are actively enaed
▪ 3ouder( more chaotic classes
▪ inetic learnin- stations- movement
▪ #oo)erative environment- teamwor'
▪ 5ealworld a))lications( connections
+#oncordia( 2021
-
8/18/2019 Math in Education
4/18
Enain multi)le senses
▪ #onventional a$stract methods never die
▪ Alternative re)resentations 6 ra)hical(
s)atial(o$/ectoriented
▪ Mani)ulatives
▪ #om)uteraided learnin
+McDonald( 2071
-
8/18/2019 Math in Education
5/18
+..#( 2001
-
8/18/2019 Math in Education
6/18
-
8/18/2019 Math in Education
7/18
-
8/18/2019 Math in Education
8/18
-
8/18/2019 Math in Education
9/18
Even the standard alorithm haschaned
Old 8ay
+9!5( 201
9ew 8ay
-
8/18/2019 Math in Education
10/18
It ma'es sense( no:
+;o
-
8/18/2019 Math in Education
11/18
.ut( on the other hand>
+.usiness Insider( 20=1
-
8/18/2019 Math in Education
12/18
Standards
National Council for Teachersof Mathematics (NCTM, 2016)
▪ !ro$lem solvin
▪ 5easonin
▪ #ommunication
▪
#onnections
▪ 5e)resentations
#ommon #ore
▪ ?oals and o$/ectives set $y
rade level
▪ Include all traditionalcontent +e@@ addition(su$traction(
multi)lication(division( ractions(
eometry( etc@1▪ ">your child will $e a$le to
e
-
8/18/2019 Math in Education
13/18
!ractical a))lications
▪ #onsider the #ommon #ore Math Standard B@?@4– 4now the
&ormulas &or the area and circum&erence o& a
circle
and use them to solve )ro$lems- 2ive an in&ormal derivation
o&the relationshi) $etween the circum&erence and area
o& a
circle@What is the area of a circle with a radius of 5?
This is a sim)le e
-
8/18/2019 Math in Education
14/18
Technoloy utiliation
▪ The )lural o& a$acus is a$aci: 8ho cares:
▪ 8hats a slide rule: A2ain( who cares:
▪ Ta$lets
▪ ?ra)hin calculators
▪ #lic'ers
▪ Interactive white$oards
+,uneycutt( 20F1
-
8/18/2019 Math in Education
15/18
,iherorder thin'in
▪ 8hile lowerorder thin'in is the masterino acts or com)letin
assinments $yollowin ste)s( hiherorder thin'in
reCuires the student to "master decisionma'in( )rioritiin(
strateiin andcolla$orative )ro$lem solvin% in order tosucceed
+*arr( S@( amras( G@( & o))( 8@200( )@ =F1
▪ ,iherorder thin'in leads to $etterunderstandins o what
is $ein tauht andloner retention
-
8/18/2019 Math in Education
16/18
Than' youH
-
8/18/2019 Math in Education
17/18
5eerences
.a/a'( A@ +2041@ 3ectures arent /ust $orin2- theyre
ine&&ective( too( study &inds @
*romhtt)JJwww@sciencema@orJnewsJ204J0=Jlecturesarent/ust$orintheyreineectiveto
ostudyinds
..# +2001@ 8hy )arents cant do math today @ *rom
htt)JJwww@$$c@comJnewsJmaaine2=KB=
.usiness Insider +20=1@ 00 yearold math teacher slams common
core standards @
*romhtt)sJJwww@youtu$e@comJwatch:vL$BA2MBMnDM
*arr( S@( amras( G@( & o))( 8@ +2001@ Teachin2 as
leadershi)I The hi2hly e&&ective teacherNs 2uide to
closin2 the achievement 2a) @ San *rancisco Gossey.ass@
,el)Teachin@ +2021@ ,ow to write hi2herorder math Cuestions@ rom
htt)JJ
www@hel)teachin@comJ$loJhowtowritehiherordermathCuestions@html
,u$a( M@ & *reed( G@ +20001@ 3earnin2 centered assessment on
colle2e cam)uses Shi&tin2 the&ocus &rom teacher
to learnin2 @ 9ew or'( 9( USA !earson@
http://www.sciencemag.org/news/2014/05/lectures-arent-just-boring-theyre-ineffective-too-study-findshttp://www.sciencemag.org/news/2014/05/lectures-arent-just-boring-theyre-ineffective-too-study-findshttp://www.bbc.com/news/magazine-11258175https://www.youtube.com/watch?v=b7A2ZM7MnDMhttps://www.youtube.com/watch?v=b7A2ZM7MnDMhttp://www.helpteaching.com/blog/how-to-write-higher-order-math-questions.htmlhttp://www.helpteaching.com/blog/how-to-write-higher-order-math-questions.htmlhttp://www.helpteaching.com/blog/how-to-write-higher-order-math-questions.htmlhttp://www.helpteaching.com/blog/how-to-write-higher-order-math-questions.htmlhttps://www.youtube.com/watch?v=b7A2ZM7MnDMhttp://www.bbc.com/news/magazine-11258175http://www.sciencemag.org/news/2014/05/lectures-arent-just-boring-theyre-ineffective-too-study-findshttp://www.sciencemag.org/news/2014/05/lectures-arent-just-boring-theyre-ineffective-too-study-finds
-
8/18/2019 Math in Education
18/18
5eerences continued
,uneycutt( T@ +20F1@ Technolo2y in the classroomI The
$ene&its o& $lendedlearnin2 @ 9ational Math P Science
Initiative@
*romhtt)JJwww@[email protected]$IdJ=KJ!ostIdJKKJtechnoloyintheclassroom
the$eneitso$
Mc#allum( .@ +20=1@ 8hat you should 'now a$out common core math@
!.S @ *romhtt)JJwww@)$s@orJ)arentsJe
