Math Pathways: Designing for Success

8/2/2019 Math Pathways: Designing for Success

1/28

G`sa

U`say`|x;

Cbxlimlmi nfr

Xhhbxx

Kdlb Uabdux$ ^`dbmhl` HfddbibFrd`mcf$ Ndfrlc`

?50? X`oo`slh`d _bxb`rha

@urld ?9$ ?50?


2/28

F~br~lby nfr Cbxlimlmi nfr Xhhbxx

F~br~lby fn M`slfm`d Cb~bdfugbms`dBch`slfm Hfm~brx`slfm

Sab Hfgudbslfm @ibmc`

Urfglxlmi Ur`hslhbx lm Hfggmls| Hfddbib

Ya| nfhx fm sab Cb~bdfugbms`d

G`sabg`slhx Urfodbg6

S|ubx fn Cb~bdfugbms`d G`sabg`slhx_bcbxlim

Sbhamfdfi| fm Cbg`mc

@hsl~ls|


3/28

Hfggmls| hfddbib xscbmsx `rb

abrflh-


4/28

b~bm abrfbx mbbc fr abdu-

3


5/28

Bmsbrlmi xscbmsx `rb aliad|gfsl~`sbc$ `rb hfgglssbc

sf `halb~lmi sablr`h`cbglh if`dx$ `mc

xlmhbrbd| obdlb~b sab| yldd-

Xfrhb; Sab Hbmsbr nfr Hfggmls| Hfddbib Xscbms Bmi`ibgbms ?500 _bufrs


6/28

fn xscbmsx rbxufmclmi sf sabXBMXB xr~b| x`| sab| obdlb~b sab|

a`~b sab gfsl~`slfm sf cf ya`s lss`jbx sf xhhbbc lm hfddbib-


7/28

fn fr xscbmsx db`~b lm sablr nlrxs |b`r-

Clc |f jmfy sa`s

Xfrhb; Sab Hbmsbr nfr Hfggmls| Hfddbib Xscbms Bmi`ibgbms ?50? _bufrs


8/28

fn xscbmsx rbxufmclmi sf sab

XBMXB xr~b| x`| sab|rb

`h`cbglh`dd| urbu`rbc sfxhhbbc lm hfddbib-



9/28

Lm sab XBMXBxr~b|

fn xscbmsx sbxslmi lmsf sarbb cb~bdfugbms`dhfrxbx x`| sab| `rb `h`cbglh`dd| urbu`rbcsf xhhbbc lm hfddbib-

@m Bnnbhsl~b Sr`hj sf Hfddbib

_b`clmbxx



10/28

Sab Hfgudbslfm @ibmc`

Cfodb sab Mgobr fn Xscbmsx hfgudbslmihbrslnlh`sbx `mc cbirbb o| ?5?5-

Xdlcb nrfg X{`mmb Y`dxa Jb|mfsb Urbxbms`slfm `s M@CB ?50?


11/28

Urfglxlmi Ur`hslhbx Rxbc sf Ud`m

nfr Xhhbxx@xxbxxgbms `mc Ud`hbgbms Urbu`r`slfm !Cb~-

Bc-,

_bnrbxabr Hd`xx fr Yfrjxafu !1 afrx fr dbxx,

Urlms fr fmdlmb g`sbrl`dxGdslc`| fr Ybbj _bnrbxabr Urfir`g

Fm'xlsb Mby Xscbms Frlbms`slfm Urfir`g!G`mc`sfr|,

@h`cbglh @c~lxlmi `mc Ud`mmlmi !G`mc`sfr|, _bilxsr`slfm obnfrb Hd`xxbx Obilm !Cb~- Bc-,

!N`hs; gfrb sa`m 00" fn hh xscbmsx hrrbmsd|

rbilxsbr nfr ` hd`xx `nsbr sab nlrxs hd`xx gbbslmi,

@ G`ssbr fn Cbirbbx HHHXB ?50?


12/28

Urfglxlmi Ur`hslhbx Rxbc sf

Lmlsl`sb Xhhbxx@hhbdbr`sbc fr N`xs'Sr`hj Cb~bdfugbms`d

Bch`slfm

Nlrxs \b`r Bqubrlbmhb Hfafrs ' cbxlimbc sf xbr~b 0xs

ibm$ dfy'lmhfgb xscbmsx Lmsrxl~b hfmxbdlmi$ ubbr gbmsfrlmi$ db`rmlmi

hfggmlslbx$ g`mc`sfr| cb~bdfugbms`d g`salmxsrhslfm`cc syf afrx fn g`sa ylsa sab lmxsrhsfr`mc ssfr b`ha ybbj

Xscbms Xhhbxx Hfrxb !G`mc`sfr|, Db`rmlmi Hfggmls| !u`lrbc cb~- G`sa ylsa ` 8

hrbcls afrx Xscbms Xhhbxx hfrxb,



14/28

Sab Urfodbg; Cb~bdfugbms`d G`sa

>5"fn hfggmls|

hfddbibxscbmsx

>5" fn HH xscbmsx s`jlmi sab ud`hbgbmsbq`g mbbc `s db`xs 0 rbgbcl`d hfrxb

8'2`cclslfm`d

hfrxbx

Sab rbgbcl`d hfddbib g`sa u`sa h`m ob 8'2hfrxbx

=Gfrb xscbmsx crfu fs obsybbm hfrxbx

sa`m nrfg `m `hs`d hd`xx

0rbgbcl`d g`sa

u`say`|

Fmd| fmb rbgbcl`d g`sa u`say`|$rbi`rcdbxx fn g`kfr

Xs`sy`|SG `mc P`msy`|SGH`rmbilb Nfmc`slfm Cbhj M@CB?50?


15/28

_bnfrg Xafylmi Xhhbxx

Hfgudbsb _bcbxlim fn Mfm'XSBGCb~bdfugbms`d G`sabg`slhx U`say`|x!Hfmsbqs`dl{bc Db`rmlmi,

Xs`sy`|

SG

P`msy`|SG

N`xs'sr`hj fr @hhbdbr`sbc Hrrlhdg 1'ybbj Bdbgbms`r| @dibor`& 1'ybbj Lmsbrgbcl`sb

@dibor` !hfrxb u`lrlmix,

MH@S rbcbxlimBgufrlg Gfcbd Ndluubc Hd`xxrffgx

Dlmjbc Cb~bdfugbms`d G`sabg`slhx Hfrxbylsa ` Xscbms Xhhbxx Hfrxb


16/28

Xfdslfm; Mby G`sabg`slhx U`say`|x

0>

Sarfia hfddbib'db~bdxs`slxslhx

Sarfia hfddbib'db~bdp`msls`sl~b rb`xfmlmi

Syf 0'|b`ru`say`|x

0

?


17/28

Xs`sy`| `mc P`msy`| Db`rmlmiFshfgbx

Cb~bdfugbms`d G`sabg`slhx Db`rmlmi Fshfgbx

Mgbr`h|

Urfufrslfm`d _b`xfmlmi

@dibor`lh _b`xfmlmi

Nmhslfmx

09


19/28

Bgufrlg Gfcbd

Bdlglm`sb `dd dbhsrbx

_bud`hb sabg ylsa ` db`rmlmi'rbxfrhbhbmsbr !d`o, gfcbd

Lmsbr`hsl~b Xfnsy`rb Fm'cbg`mc$ ubrxfm`dl{bc xxlxs`mhb

Ubrglsx gdsludb hfrxbx sf ob fnnbrbc `ssab x`gb slgb `mc ud`hb

@c`usbc nfr clnnbrbms jlmcx fn lmxslsslfmx


20/28

Gfcd`rl{bc Cb~bdfugbms`d

G`sabg`slhx6 Orb`j sab cb~bdfugbms`d g`sabg`slhx hfrxb

xbpbmhb lmsf hamjx fr gfcdbx sf `~flcrbubslslfm

Ubrglsslmi xscbmsx sf sbxs fs `mc gf~b fmyabm sab| xafy g`xsbr| fn ` hamj

Ubrglsslmi xscbmsx sf gf~b sarfia sabgfcdbx `s sablr fym u`hb `mc jbbu gf~lmi

@~flc rb'sb`halmi hfmhbusx b`ha mbyhfrxb


21/28

Bgufrlg Gfcbd C`s`


22/28

Bgufrlg Gfcbd Hfxs


23/28

Sab Ndluubc Hrrlhdg Cbnlmlslfm

^lcbfx s`jb sab ud`hb fn clrbhs lmxsrhslfm

N`hds| `mc Xscbmsx a`~b slgb lm'hd`xx sf yfrj fm jb|

db`rmlmi hsl~lslbx

'Ya| lx ls h`ddbc ndluubc6 Hd`xxyfrj !sab dbhsrb lx ~lcbf`mc y`shabc `s afgb, @xxlimbc Urfodbgx !mfy cfmblm'hd`xx,

Xbb gfrb;

assu;&&yyy-sabc`ld|rlnn-hfg&`rslhdbx&sab'ndluubc'hd`xx'hfm~brx`slfm'>1


24/28

Cb~bdfugbms`d G`sa `mc

Xscbms Xhhbxx Dlmjbc Hfrxbx

Bq`gudbx

Orlcibx Hd`xxbx !ndd'|b`r urfirbxxlfm,

Bq`gudbx

Cb~- G`sa L `mc Xscbms Xhhbxx

Cb~- G`sa LL `mc Xscbmsx Xhhbxx Lmsbrgbcl`sb @dibor` `mc Xscbmsx

Xhhbxx


25/28

Sbhamfdfi| lm Cb~ G`sa

_bcbxlim

Ub`rxfm Urfchsx !G|G`saD`o `mc G`saQD,

Xg`rs Ubmx assu;&&yyy-dl~bxhrlob-hfg&bm'x&

Sbqs Gbxx`ilmi !M`sl~b @uux fm Xg`rs Uafmb, ^lcbf !ndlu h`gbr`$ Klmi$ H`gs`xl`,

assu;&&~`dbmhl`hfddbib-bc&g`sa&dl~bXhrlob-hng

assu;&&yyy-sbhaxglsa-hfg&klmi'nb`srbx-asgd

Yfdnr`g @dua` !Yboxlsb `mc Xg`rs Uafmb @uu,

assu;&&yyy-|fsob-hfg&y`sha6~7YBYFNRalQf.dlxs7RRNlOl5y81I3QDyg8x\[email protected]`srb7udhu
http://www.livescribe.com/en-us/http://valenciacollege.edu/math/liveScribe.cfmhttp://www.techsmith.com/jing-features.htmlhttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.youtube.com/watch?v=WEWOFUhiXuo&list=UUFiBi0w38G4XLwm3sYO_TqA&index=8&feature=plcphttp://www.techsmith.com/jing-features.htmlhttp://www.techsmith.com/jing-features.htmlhttp://www.techsmith.com/jing-features.htmlhttp://www.techsmith.com/jing-features.htmlhttp://valenciacollege.edu/math/liveScribe.cfmhttp://valenciacollege.edu/math/liveScribe.cfmhttp://www.livescribe.com/en-us/http://www.livescribe.com/en-us/http://www.livescribe.com/en-us/http://www.livescribe.com/en-us/http://www.livescribe.com/en-us/


26/28

Srbmclmi _bcbxlim Lxxbx sf'c`sb

Hfmsbms

Hfmsbms Cbdl~br|

C`s` yabrb lx ls6 Afy cf yb xb ls6

Sbhamfdfi| xf g`m| fuslfmx

Hd`xxrffg Xu`hb&Xl{b

Xuufrsx !lb- D`ox$ ssfrlmi,slgbx

Lmlsl`sl~b n`slib


27/28

@hsl~ls|Foxbr~brx

Ob urbu`rbc sf rbufrs sf sab irfu |frfoxbr~`slfmx-

2 ~fdmsbbrx


28/28

Pbxslfmx

Kdlb Uabdux

kuabduxElmsbr`hslfmddh-hfg

kuabduxE~`dbmhl`hfddbib-bc

Fr8?0 >1< 8?11 !hbdd uafmb,
mailto:[email protected]:[email protected]:[email protected]:[email protected]

Math Pathways: Designing for Success

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