5 research outputs found
Improving the Quality of Mathematics Education:Two Teaching Modes and Taiwanese Student Learning
Students’ and teachers’ long-term (i.e. three years) experiences in three classes of the traditional direct instruction and constructivist class discussion approach to the mathematics teaching at a Taiwanese junior high school and at an experimental school in Taiwan were discussed in this study. This research utilized qualitative methods. The study adopted content analysis approaches from a qualitative perspective. This was combined with the perspectives of social constructivism and situated learning theories to interpret students’ learning and growth. The research findings of this study revealed differences in the group of students exposed to the constructivists teaching environment. These differences were evident in their mathematical competencies and richer students’ autonomy. However, when compared to the traditional teaching environment there were several challenges such as time use, understanding all classmates’ dialogue, mathematical writing ability in explaining and communicating their thinking and more teacher work. Constructivist class discussion classrooms in this study appeared open, relaxed, lively, friendly, and supportive of each other in building new knowledge. This was apparent in School E where the environment provided more opportunities for students to develop their own mathematical ideas. This environment also produced a more social/collective/adaptive form of mathematical knowledge, with ongoing assessment of information provided by the teachers, to inform instructional practices. The data presented here show that students exposed to the constructivist discussion approach had richer learning experiences which may be viewed as a result of their active participation during instruction. Compared to the their peers in School T, the traditional direct instructional group, School E students had more learning roles - (knowledge explorers, knowledge producers, and knowledge adventurers). Student in School T acted mainly as knowledge receivers; they mostly received and followed the teacher’s instruction and explanations of mathematical concepts, and then applied the received procedures to solve given mathematical problems.
The findings of the sequential relationship between teachers’ perceptions of mathematics/learning, teaching practice, and students’ knowledge/perceptions sheds new light on the social relationships between teaching and learning and the situated influences among classroom practices and students’ knowledge/competencies/perceptions. This investigation revealed that the constructivist approach seems to be an excellent medium to provide quality education. It is recommended that educators should re-introduce the use of a constructivist approach to teaching Mathematics because of its potential to enhance the quality of Mathematics education, which in turn augments students’ competency as future Mathematicians
0006
THE DAILY PALO ALTO TIMES
9*'*mPi*--*>^******i*-*'*-*'*-*
i
I
CADILLAC DESK-TABLES
AND
DESK-CABINETS
McKlBBEN FURNITURE COMPANY
Phone Main 12
HZ University Ave.
. ....w.*S*».S*S.SVS. .^Sl-StS*SI.S*S*S.SS«* *4
Sl*^l**-^*^**,-t*S.*t*,*,»l*.-.--S.**»te**.-S**.^^.IS*Sc-H..'<WJS*SL^*SlSS,IS%»nlS
« , _________„„__„_ I
We Lave just tot in a
fresh supply of
Maine Corn
One of the best Sweet Corns
(Town. Two cans
for a quarter
0
FULLER
& CO.
I'llONK MAIN 51
l»uj* from tbe Mine* In One Year.
tn vl*j*w of the many stereotyped
wnriiitici* (rom ecooomlata lb the Atnur
■Qtapdoa of wealth taken frotu the
mines, nolsbly ibe peKsuuUtic appeal
recently voiced by J J Hill, tbe sow
mary of tuiucral prtnlttctluti In the
L'lilted tttatea tu tin* jrnr IQOO. JUat
ij .oreoy. Is
I* y.<, ftft \'..,- ■sr.rutb time, tbe
total mine "of uur i-iliii-ral production
racMdad tin* fn nr. uuil. sum or 11.000.-
UDUJJuu. The exact Qgurw* te UM *re
(I •■::•>::.vr. an compared with ftl.HW.
Svl..Vsl In V.m.
A* !)• rrtof.ue. Iron aod coal 0 the
tnoet Importaut of. our mineral prod
acta. Tb* ksIus of tlt-I it.tniui-.ni.,
« I- .•>:•*-.'.I.V mm. tin- value »f tbi- out
*M1flk18ttMi lln- rm-l* Increased from
t-CsSi.oU^K la Iflul to *rtCJ".*'lT in
1906. a gala of ft!i.-US.»il. or 3.18 pet
oent. Anthracite real showed ao In
crease Ip vsloe of i_*\.
m_MD iii ll*** to fMUBTfcOOO In IWft
Tht Increase in vain*** »■* the bttutul
nous coslouti.at over r.«H was 93Si%XX*
Tbe pns.lii-.-ti>.*- f joU ium-4-u-*vl
from a.t>ttl.73» ounce*. *ulu.-<l ni MB
KUI.tHH, In ].»>i to l3dB.t-43 ounct-s.
valued *t ftJW.T80.711. In 1!"-* sn in
create of S.WH13 OOBC-M iu <|uaullty
.and or «7.S**i.i*a In *siuc The pie
doctloo uf silver tn*-res>M*d lu -jusntit)
from hTi.liMt.MH NMI in MM to H
101.MM (pM tn I'.ttt. s yrain uf |ni
730 oum*es. Ilut It iMflMMd Id BOO
merctal vslne from fS&flQBjnS a\ MM
to y.n.221.»7*J tn IftOS. s icaln of ■£
•**\y*4
tt on* csunot own a soU or njlicr
mine ttt eiplolt tbe (RMtL Inks, WppM
nml other rttflpUi t.. ti..* iutu* r mil
limn a jciir tlii'i.- '* it.II a ctisiue to
pick s ti-riu« .oil >tt* tho-M- nppsreotly
tBSlsnlSieut k;dr pf***l*H*t« wbich tfOt
tip MOOUOOO In value in tbe course of s
tselvriiiouib
FAIR OAKS AUTHOR
SHOCKS LONDON
t 'Alt' B DISPATCH 8AVH utM-
THi'Ul-: \iiti:i;it>\ t MB i:il-
I'ttATIC t.Wt.t KM IN l.tTTKH
In Lighter Vein
■ou do semothlng
r lute
lm (.'Hint! 10
r Philadelphia
Mn* Eniitii..!. • it,..i sin* Irsaanwd to
Talk That Wat Winn Mt.t* U94
uur el is!.
Oaka tai
A the riot
I-Ull.l Hi
ilftUUl* uud Ussmiuui iiufc-
fol lowing -tory about Ma*
\t|i.r; .r. the w.-ll-knos i
iu abuse honor tbe Fa1*.
• near her* has beeo named
jtM. tti.' CalJfa
rude Ather-
st has iTi-it-
v tire lit* by
Ite Isondon
I Mr. Hooif—Water's killed more
iH-opie than whisky ever thought of
j dolus.
j Temperance Advoeai-u - Prove It,
: sir: prove 1-t.
' Mr. lk>ose—W bat's the nailer
jwltb Iho Hood?—Brooklyn Ragle
j ""-'Hhn I* grnco Itself."
j "Indeed?"
'*T(«1 she enn VIM separate herself from n atreet car *:ihcut reminding oni* vcr> much ol an awkward elephant "•-«-Washington tler-
ted ii M-umitina In liter
tailing ih.* .alitor of
Times" to "go to the
editor had dtx-lsrnl (hat sbe could
earn larger royalties by publishing
her novels at half n dollst- than at
u dollar nml a half, nnd suggested
that if shc por milted tit-* Time* Hook
tTub to publish Mr*. Athvrloo> 1st-
•st aovvt, "Hi'Miiin'i" st two shilling Instead ol NUt, -»ho would ni*ke
mot... m.i*n.* In reply, Mr*. AUter
I.., WtiXM Ut the editor of the Tlliion
h.ni. Muni. I.. -*sylng.
"With m> publish*^. Mt.rrs). I
will remain *-•• long as he will hsve
un*, thi I li.-ri'l.v invlu- vtm and all
your hultordlnali**, In my second ■'«'-
tforaiaaae, to §o to the devii.■*
Mt- AUKTion'*- brees-c letter' b«*
"bothed the dlgnided editor of thc
Time-. -w> thst he hu not yel reco-T-
>re<i foBet-aat-b from the blow lo
iiii-i*.-t the poUt« invitation.
aid.
Khettirle Teacher—Mr. Smith,
wbat ts meant by flgnres of speech?
Mr. smith—ll Is lh- language
aeed by * student who hss ran
through his allowance before tbe end
of tho someatnr whan Islklug to bla
father. Itctmlt Fits* Press.
"I don't bclle-te In giving India-
crlmiuale alme. pr*p st Cbrlfiniss.
dectsred Jinks as Kink* banded a.
b-cg-jur **■ rota."
"Neither do 1. denr boy, but the
fact Is that nickel waa too badly
batterad to take a rhame vtth elsewhere. "--lUtlsburg Post.
J NOW Olt XUVKK.
£ It* f, r oot to * luiur.* tUtr for €
j sarh a wnrtlij hou-tebold ae- £
cessltj a* Talcum powder. We i
< are now putU«« UiU HDOi up J
-j In a nest it-*** Imttle, sersw *
x cap, nnd In three odor*— name
4 Ij, Violet, Jockey and T relic—
* and the price U only IS cents
4 per bottle.
* Weingartner «
J MESCtirtlON Dll'CGISTS
£ sn Umvssuw A«*. Pats A
-stnliat-ls »•**»>■** P,*k*'t*^*Miif*t_r*,-u-i
EDWARD WECK
Ji! Al. ESTATE and LOANS
Firt, Accident. Plate Glui ud '
Burglary Insurance written in ths
companies and losses
"Hut ir.'irt ...ii alrsld tm> lmn.111. best
will rums nml mid yuur tiank. Mr.
ss„„i,.i.:- promptly ad|uiled and paid in
"My d*sr friend. on« ol my dsustl-1 _sr__ ..* hi-l c, ,
l.rlnct. snd my «*n a muslc-hsll | p,|0 su_ r..
6'*w-s.'sw.^w.m*^*si**sisw.'sw.^*,^swisni<„^*,'*^m,.isw.^*^^*s.isw.**. ,.*,»■ %S>*SS,*frS.S.**,** SI . t.t„SH. Sll, Si*. S. I. S.S.S.S, SflSlW-S
I
Calendar Sale I
MI
,-.-!■!
This WeeR
Congdon & Crome
The I .catling SUttioners of Palo Alto
ly »im*'!o* or ub
tain n blunk furni at the office of tha
city clerk Theu tln-y gppaar before a
ootnrj ptiMh*. juatlct* of tlit- -jr-vst-** or
HTATK CASSfYT ftwt'K
ud Tt» thk oovmui
iifint I JuiIrc IIIumW-v In (see of
U'ottian- llotnc Will Ile Ap|H*ah-d
to the Supreme tVttirt,
Maperlor Judge A. Is Rhodes, of
Santa Clan eoastl derided yeatar-
day thst the act |ts*red by Ihe legislature on April 1. 1K97. granting
aid lo Lhe Women's Relief C01W
Home Ansorlallon. was uncoosUta-
tlonal. and ihua lhe state does not,
according to Hettloa tZ. Artlcls 4,
of th- atatt ttm-ititutlon. bste to pay
for tin- -Mu.iK.it of indlgi-jts In any
i ou hit which might npply fur aueli
rellel An nope*) to the supremo
court will bo taken Immediately
- lielto.
<**
how's
HiltlK-
II I
the
dsy**
. ***rv bn»y. In*
MEATS
-sens-
Stanford Meat Co.
Fresh fish every Friday
. i1'1
i IU ii
li-u-fll-. uArrtad, s* th
ton* throoDth * *oi«*mti
■^.y*n*n'*n**n^*-****n>*4%**n^
* _****-**.*-*.*+ *>****-**■* ** * *■ ^* *.+ t ■•
i electricity!
. •*? *
uf the
t,. sa ;
carefit
l.j .
MrsWtiS
deslnai
j ■
with t
print* Institution Tbe
* rirtltii iras •■h.*' grant
i Wum'en's Home, wblrli
allty of the grant
snd strung The
i *hfp
lajtslt
. pr-Klalon of a p*
have the Imagln
'
S For Light and
\ Power Purposes
1
Apply To
1
0
l United Gas & Electric Co.
i . Palo Alto and Redwood City
4
a ■»**x'a>*fc-»wt-<^*a-n*s^-»,*v-e-w.-e^'*^^
dade
Cassldy- Ye don't tell me
Casey—Aye. Sure' Iv'ry lime I'm
at lsyaur« I bov nomotln' to do.—
I'hltsdnlphtu Press.
M.iiiims, what's the u*e of patting all thost thing* for the baby In
thai uterlltilng machine?"
"Whj, Willie, ao that no' bad
BartBi «ill enter hia system."
That's what I thought, but I
Tbe year l»i>0 Jut** been (he batter banking yenr of California. Tb*
snk ch-atrtag* of Ban Frknclseo In-
ing ibe first three-qnar*
• fmm ll.279.00MM.
to- tots) for nine mobth* of ttttb,
t ft I,sit.a a 7.»" 7. n gain of ftftP,-
MJU, or more than |7.«0»,000 ■
tonth oa Ib* sve'age. despite Ihe
r* In October tin* bach dealings
mount-,-.! io IttMBtvfti. leading
i. i-.i. ■ in i tti b) tht grail hum or
l. . I... r .1* ;■ ..',..■ 1,1 lit tt. ■
i Ptolio rsllsay m endesvor
i.irnt the man) uflfoundi-o
a lloat ■■ In—**h»- e
tst Han Kraiicl.
***a pi m a* Pivfe ai ■* Pi**Pi**pit-Pi*tt Pi** Pt
VICTOR DUPUIS}
Gardener %
Htates. ('-.ml rarf work or work *
f by the day. ltcKotsr price. \
| Addres* lio* lOOH. |*.|,» Alto. |
%nt* n.**nf*ns*n**nf* n.** n** ns* **.**
G. H. Allen Oil Co. r"*'J^^E.s.s,
|Tru|**l«*a**i at ALTO brand hi** rraiW oil, n-prcully sdcptr^
tor UM btatrrt n*4 Uwps -
520 High Street • Itionc Main 17
» to sns otlter wa). A grcst deal of
Indlvldost tasie srltl contlnus to assert
itn*.' :-. fi-niiitic. yet Ibe return to Iba
n'.tizle -tuntUnl will plena* th* Josh
Kill!tiit* *-bool of wrttsrs, whose la
dastry baa beeo pssslng through s
-trial*
At * club dinner given lit Sew York
recently to Kdltor McKeiway of tbe
Hrvnklyn Esgt** tbe *;-esk--^s sppesrel
tmssicion* oo the proposition thst be
I* tbe foremost Joor-asllat tn Greater
Sew Vork A* be flour'nlii-* In thr
snucsi-d •llntrlct. tt 1'jok* ■* though the
old metr»|ioIIs needed new brain* **
wt-H a* now terrilory to make It really
sad truly grest
: rstber take &.'*m biiu-t<*ir titan
j his coostltoeut* to send soother v
j collect t.jjon after I*ecetnber. IH
face by aiyttig that Um man who
never fusses over hi* woj-3 hio* tilth-
ihe worid. A due proportion trt IT
used wltb ju-l-Eim-it,' "will from many ■
» hlmtder fr.«- u* and foe-flab no-'
lion - t'.. ■ ■ ■ anion under'
rUch )• auu **«n .-.i-yiiuoti* tai
tbat one who has so*ne moooioDoun
\nxk ta ucrform autiunallcally t.
"She looked at tht* money, and
Xotlrc of Asscasment.
Name of Corporation In full -
'iKMsEFONT MINING CONPAXT.
IsoratJon of primipal place oi busl-
naaa, Nevada Hullding, Pal-a Alto,
Uanla Clara county, California.
Notice Is boroby given that at a
meeting of tha directors, beld on tha
fifth day of Deeem-dier, lfttlft. no aa-
vesment of Ave cants per share waa
lavlod-upoa ihe capital alack of aald
t'liriiiir.iti.in. payable on or before
Momliy, the scv-nnih day of January*
1907, to Theodora Vandervoort, the
r*--<-r«Ury of ths -Corporation at Palo
Alto, Santa Clara couuty, California.
Any stock upon which tbia aaaaa*
meat ahall remain unpaid on ths aald
■•■renth dsy of January, 1807, will be
delinquent and advertised for sab U
public auction, aad unlet* pityuant
is made before will be sold on Wa4-
ne*day, tbe twenty„»hlrd dr>y of Jan-'
tiary, 18V7. to pay the delinquent aa.
aeeatnent, togutlisr with thetoat of
advertising and stpenasa ot *a)e.
TIIBODOKB VANOEUVOOR1. .
Se.*retary, iMIefont Mining Compaar
IsOoaUoa of office of Secretary, Nevada I'.iilitilnK. Palu Alto, County o*
HanU Clara, California.
her face clouded over.
" Slru: dollars.' she said,
" ■ Yes." aald the head, a little
hnrt; 'that Is Juat half, I'm sorry
yon are not satisfied.'
'"It lan't that I'm sot satlsfl-ad.*
aald the young woman, 'bat all along
he* bft-ii t'-lllng me hia pay waa only
114 a week. Walt till ho got* homo!
If them Spaniards don't kill him, 1
will.*"—exchange
Investigating the relationship between "effective" teachers and theoretical notions of effective teaching: An analysis of whole-group discussions
The literature base on teacher effectiveness has rapidly expanded in the past decade. Once dominated by social scientists, the literature is now heavily influenced by economists. Utilizing value-added modeling, economists have mainstreamed attempts to isolate the effect that a teacher has on student achievement. Findings from these attempts, however, confuse an improvement in measuring teachers with an improvement in measuring teaching. The field of education is still missing transparent, debatable measures of teaching practices. This study proposes a new measure, the adjusted whole-group discussion score, for one teaching practice—conducting whole-group discussions. It then uses that measure on a purposefully sampled group of teachers, and investigates its relationship to statistically derived measures of teacher effectiveness—that is, value-added estimates. This study is one of the first to go inside the classrooms of teachers being labeled effective through value-added modeling and to shed light on their classroom practices. In so doing, the study highlights different aspects of good teaching, which include being accountable to facts and procedures and being accountable to authentic discourse. Moreover, it articulates specific classroom discussion moves that can be used in targeted interventions. Findings illustrate that teachers with similar value-added scores can have markedly different teaching practices and that high value-added estimates do not necessarily reflect a full range of classroom teaching practices. The main policy implication of these findings is that, similar to students who need individualized instruction, teachers need individualized intervention
