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THE UTILIZATION OF EDUCATIONAL TECHNOLOGY IN ENHANCINGMATHEMATICS LEARNING IN K-12 CLASSROOMS IN BATANGAS
NATIONAL HIGH SCHOOL: GUIDE IN DEVELOPING STUDENT
ENHANCEMENT ACTIVITIES
Ian Kri!"#$%r D& Ma'a(in)"n*+ Ma& An*%(i'a F&Mana("+R",%( F&Pan**"+ an) B%r(.n A&San)"/a(
Ba'$%("r "0 S%'"n)ar. E)'a!i"n Ma"r in Ma!$%,a!i'C"((%*% "0 E)'a!i"n
Uni/%ri!. "0 Ba!an*a
ABSTRACTEducational technolo)* seres as the teacher,s support in
implemention o- a lesson( Moreoer. educational technolo)* seres as thebasis o- the teachers( This research aimed to identi-* the educationaltechnolo)* used b* the teachers in /atan)as National Hi)h 0chool inteachin) mathematics. to determine the e--ects o- usin) the educationaltechnolo)* in 12#" classroom. to identi-* the issues and concernsencountered b* the teachers in usin) educational technolo)* and to proposeeducational technolo)* that ma* enrich the teachin) and learnin) o- mathematics( t utili4ed the descriptie method hain) 5uestionnaire as themeans o- data collection( The 'ei)hted mean 'as )ien appropriate erbalinterpretation( esults sho' that the use o- chal7boards and8or )lass boards'ere the most o-ten educational technolo)* used( t 'as also -ound out thateducational technolo)* had positie outcomes in the teachin) and learnin)o- Mathematics b* arousin) and sustainin) students, interest( Lac7 o-
-acilities and aailabilit* o- materials 'ere the primar* issues encountered b*the teachers in usin) educational technolo)*( The proponents recommendthe use o- e9eLearnin) as one o- the instructional materials that can be usedin the teachin) and learnin) o- Mathematics(
Keywords: Educational Technology, Teaching, Learning, Mathematics,K-12 Classrooms, Utilization, Eecti!eness
1& In!r")'!i"n
Education is a d*namic and li-elon) process( t neer ceases but
continues to be moderni4ed and be internationall* reco)ni4ed( Curriculum has
been -leible throu)hout the *ears. and no' in the adent o- 12#" curriculum.
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ne' chan)es are epected to happen( Ne' teachin) strate)ies and models.
e--ectie teachin) st*les. e--icient teachin)s instruction. and )ood communication
s7ills has been obsered upon the birth o- 12#" curriculum( There is a )reat need
-or e--icient teachin) strate)ies and education should meet the needs o- ariet* o-
learners and there-ore educational technolo)* is important in meetin) these
needs( ;lso. the academic settin) re5uires indiiduals to possess technolo)ical
literac* to become )loball* competitie pro-essionals in the near -uture(
;s stated b*
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curriculum 'as epected to enhance the 5ualit* o- basic education in the countr*
and to help students to be prepared in -acin) the demands o- the "#st centur*(
This la' is also in -act in line 'ith ;rticle 9. 0ection "=#? o- the #$%! Philippine
Constitution 'hich states that DThe 0tate shall establish. maintain. and support
a complete. ade5uate. and inte)rated s*stem o- education releant to the needs
o- the people and societ*( =/ra4a and 0upapo. "?
;ccordin) to 0ec( Luistro =""?. the epartment o- Education has been
conductin) mass trainin) -or public schools and some priate schools about 12#"
Curriculum( t has been a er* )ood start but epEd concluded that the
aailabilit* o- instructional materials. speci-icall* updated re-erences. 'as the
most -re5uent concern re)ardin) the implementation(
Mathematics has al'a*s pla*ed a ital role in education( Mathematics
teachers should there-ore be adept at teachin) the subBect and must be e5uipped
'ith the necessar* s7ills or strate)ies needed( Moreoer. it is crucial that their
classroom )oals are based on the current curriculum( 1no'in) its -rame'or7
enables the teacher to deelop and adapt lessons to suit the needs o- the
learners in this )loball* competitie 'orld( =/ra4a and 0upapo. "?
Mathematics teachers are eperiencin) maBor chan)es not onl* in the
content. but also in the manner o- instruction( Mathematics used to consist a
collection o- -acts and s7ills to be memori4ed or mastered b* a relatiel*
homo)eneous )roup o- students tau)ht usin) a lecture approach( No'. teachers
"
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are called to teach ne'. more challen)in) Mathematics to a er* dierse
audience usin) actie learnin) approaches desi)ned to deelop understandin)(
Throu)h the innoations in -ields o- Mathematics as 'ell as in the
educational settin) in the Philippines. there is a need -or teachers and students
to be )loball* prepared in order to adapt to such chan)es( Fne abilit* that
teachers must possess is the e--ectie use o- educational technolo)* in
classrooms( Ho'eer. there are still some teachers 'ho lac7 7no'led)e about
the di--erent materials to be emplo*ed in the teachin) and learnin) process(
O3%'!i/% "0 !$% S!).:
Generall*. this stud* identi-ied the utili4ation o- educational technolo)* in
enhancin) Mathematics learnin) in 12#" classrooms(
The stud* aimed to:
#( escribe the pro-ile o- the respondents in terms o- a)e. )ender orientation.
reli)ion. hi)hest educational attainment. and len)th o- serice(
"( denti-* the educational technolo)* emplo*ed b* the respondents in the
delier* o- Mathematics instruction(
3( etermine the e--ects o- usin) educational technolo)* in the delier* o-
the respondents in teachin) Mathematics(
( denti-* the issues and concerns encountered b* the respondents. relatie
to the use o- educational technolo)* in teachin) mathematics(
3
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Demographic Profle o the Respondents
AgeGender Orientation
Religion
Highest Educational AttainmentLength o Serice
!ypes o Educational !echnology employed "y the teachers
ili$ation o educational technology in enhancing the teaching and learning %athematics in &'() classrooms an
+Aided "y Surey ' ,uestionnaire-
Proposed
Enriched .nstructional%aterials
FEEDBACK LOOP
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>( Propose instructional material that ma* enrich the teachin) and learnin) o-
Mathematics in hi)h school(
C"n'%#!a( Fra,%4"r5
INPUT PROCESS OUTPUT
Fi*r% 1& esearch Paradi)m o- the
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n Ai)ure #. input sho's the pro-ile o- the respondents in terms o- a)e.
)ender orientation. reli)ion. hi)hest educational attainment and len)th o- serice(
t consists o- the t*pes o- educational technolo)* emplo*ed b* the teachers( The
anal*sis o- the e--ects o- educational technolo)* in the teachin) and learnin)
process 'as aided b* the sure*25uestionnaire( ; proposed enriched
instructional material -or the output 'as presented a-ter the process o- )atherin)
in-ormation(
Ba'5*r"n) "0 !$% S!).
Modern times has bou)ht ne' inentions and technolo)ies. such as
printin). recordin). photo)raph*. cinemato)raph*. radio. teleision. and the
computer. 'hich can contribute to the ast arra* o- resources -or the modern
teacher( There is a relatie e--ectieness o- these tools222other'ise 7no'n as
educational technolo)*222as compared to conentional instruction( The teacher
there-ore must be 'ise in understandin) the role and use o- these machines and
technolo)*. 'hile proidin) the learnin) enironment attuned to the sophistication
o- the times( =Pila. et(al(. "?
arious technolo)ies delier di--erent 7inds o- content and sere di--erent
purposes in the classroom( Aor eample. 'ord processin) and e2mail promote
communication s7ills database and spreadsheet pro)rams promote
or)ani4ational s7ills and modelin) so-t'are promotes the understandin) o-
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science and math concepts( t is important to consider ho' these electronic
technolo)ies di--er and 'hat characteristics ma7e them important as ehicles -or
education =/ec7er. "&&!?(
Each technolo)* is li7el* to pla* a di--erent role in studentsI learnin)(
ather than tr*in) to describe the impact o- all technolo)ies as i- the* 'ere the
same. t'o )eneral distinctions can be made( 0tudents can learn J-romJ
computersK'here technolo)* is used essentiall* as tutors and seres to
increase students basic s7ills and 7no'led)e and can learn J'ithJ computersK
'here technolo)* is used as a tool that can be applied to a ariet* o- )oals in the
learnin) process and can sere as a resource to help deelop hi)her order
thin7in). creatiit* and research s7ills =eees. #$$% in)sta-- 1elle*. "&&"?(
n the studies o- Pila. et al( ="? and Garo-alo. (. ="&&&?. in selectin)
media -or instruction. the teacher must -irst determine eactl* 'hat his obBecties
are and then select the most appropriate t*pes o- media -or the tas7( The
preparation o- secondar* mathematics teachers 'ho are able to use technolo)*
to enhance studentsI learnin) o- mathematics is not a triial matter( P0Ts need to
deelop technolo)* s7ills. enhance and etend their 7no'led)e o- mathematics
'ith technolo)ical tools. and become critical deelopers and users o- technolo)*2
enabled peda)o)*(
n the stud* o- aier and olonda ="&&>? and /ec7er =#$$?. liin) in the
a)e o- technolo)* means that n-ormation Technolo)* =T? pla*s an important role
6
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in the present2da* education( arious technolo)ies delier di--erent 7inds o-
content and sere di--erent purposes in the classroom( These ma7e in-ormation a
-ast )lobal phenomenon. ma7in) these aailable and usin) them help -acilitate
and enhance learnin)(
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n the 'or7s o- Nelson. Christopher. and Mims ="&&$?. Pierce and 0tace*.
="&?. Gadanidis and Gei)er ="&? and ProBect Tomorro' ="#?. Mathematics
is ie'ed to be tau)ht easier 'ith the aid o- technolo)ies and multimedia
instruction( Eperiences o- the learners are enriched throu)h the help o- the
in-ormation and communication technolo)* tools that can be deeloped b* the
teacher to -acilitate the echan)e o- in-ormation as part o- the teachin) and
learnin) process(
2&M%!$")"("*.
The research paper used descriptie method in nature 'hich 'as -ocused
on the e--ects o- educational technolo)* in teachin) and learnin) mathematics
amon) secondar* schools in 12#" classrooms( This t*pe o- research ans'ers the
5uestions and describes the nature o- phenomenon( n order to clari-* some
concepts re)ardin) the research stud*. eperts 'ere consulted( Aor the purpose
o- eri-*in) the stud*. data 'ere collected throu)h librar* and internet research
and a sure* 5uestionnaire( Aort* teachers -rom /atan)as National Hi)h 0chool
'ere chosen b* the proponents to be the respondents(The respondents o- the
stud* 'ere the Mathematics teachers 'ho ans'ered the 5uestionnaire to )ather
the needed data -or the stud*(
Ainall*. the )athered data 'ere anal*4ed and interpreted throu)h
emplo*ment o- statistical tools such as. simple percenta)e -or the respondentIs
$
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pro-ile 'ei)hted mean to measure the )eneral response o- the sure* samples
'hether the* a)ree to the )ien statement or not and 0pearman,s ran7in) -or
descriptie statistic 'hich sho's positional importance o- an item o- obBect
discussed and tested b* the proponents( ;-ter eaminin) all the )athered data.
the research stud* reealed the important -indin)s that 'ere obsered and tested
b* the proponents(
6& R%(! an) Di'i"n
The subse5uent sections discuss the e--ectieness o- usin) educational
technolo)* in Mathematics teachin) and learnin) in /atan)as National Hi)h
0chool(
1& Pr"0i(% !$% r%#"n)%n!
The -ollo'in) are the pro-ile o- the respondents in terms o- a)e. )ender
orientation. reli)ion. hi)hest educational attainment. and len)th o- serice(
Ta3(% 1Fr%7%n'. an) P%r'%n!a*% Di!ri3!i"n "0 !$% R%#"n)%n! in T%r, "0 A*%
8n9;
A*% Fr%7%n'. P%r'%n!a*%
"#2"> *ears old # "(>&
"623& *ears old #3 3"(>&
3#23> *ears old 6 #>(&&
362& *ears old 6 #>(&&
#2> *ears old #&(&&62>& *ears old > #"(>&
>#2>> *ears old 3 !(>&
>626& *ears old " >(&&
Total & #&&(&&
#&
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Table # reeals the -re5uenc* and percenta)e distribution o- respondents
as to a)e( Arom a total o- -ort* =&? respondents. #3 or 3"(>O 'ere bet'een "62
3& *ears old. 6 or #>(&O 'ere bet'een 3#23> and 362& *ears old. > or #"(>O
'ere bet'een 62>& *ears old. 3 or !(>O 'ere bet'een >#2>> *ears old. " or
>(&O 'ere bet'een >626& *ears old and the remainin) # or "(>O 'as bet'een
"#2"> *ears old(
;ccordin) to Gra4iano ="&&>?. on the -irst *ear o- teachin). the teachers
5uit -or seeral reasons. not because o- the salar*( More -re5uentl*. the reason
'as dissatis-action 'ith administratie support =3%O? or 'or7place condition
=3"O?( ;ccordin) to the NCE0,s "& sure* o- %&& public and priate school
teachers. poor administratie support. lac7 o- in-luence 'ithin the school s*stem
classroom intrusion. and ade5uate time 'ere mentioned b* teachers leain) lo'
income schools 'here 'or7in) conditions 'ere more stress-ul salar*. on the
other hand. 'as one one reason that a--ect teachers leain) at -luent schools(
Ta3(% 2Fr%7%n'. an) P%r'%n!a*% Di!ri3!i"n "0 !$% R%#"n)%n! in T%r, "0 G%n)%r
8n9;
G%n)%r Fr%7%n'. P%r'%n!a*%
Male % "&(&&
Aemale 3" %&(&&
Total & #&&(&&
Table " reeals the -re5uenc* and percenta)e distribution o- the
respondents as to )ender( t sho's that -rom & respondents. 3" or %&O 'ere
##
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-emale 'hile the other % or "&O 'ere male(
The data indicates that most o- the respondents 'ere -emale( ;ccordin) to
ich ="?. across the countr*. teachin) is an oer'helmin)l* -emale
pro-ession( Moreoer. accordin) to Education department data. up -rom about
t'o2thirds three decades a)o. the disparit* is most pronounced in elementar*
and in middle schools. 'here more than %& percent o- teachers 'ere 'omen(
Ta3(% 6Fr%7%n'. an) P%r'%n!a*% Di!ri3!i"n "0 !$% R%#"n)%n! in T%r, "0 R%(i*i"n
8n9;
R%(i*i"n Fr%7%n'. P%r'%n!a*%
oman Catholic 3! $"(>&
Protestant # "(>&
/orn ;)ain Christian " >(&&
Total & #&&(&&
Table 3 reeals the -re5uenc* and percenta)e distribution o- the
respondents as to reli)ion( Arom a total o- & respondents. 3! or $"(>O 'ere
oman Catholic. " or >(&O 'ere /orn ;)ain Christian and the remainin) # or
"(>O 'as Protestant(
;ccordin) to Philippine reli)ion statistics ="&&&?. %&($O in /atan)as Cit*
'ere oman Catholic. >O 'ere Muslim. (>O 'ere Protestant. "(%O 'ere
)lesia ni 1risto."(3O 'ere /orn ;)ain Christian. "O 'ere Ean)elical. #(%O
'ere other reli)ion. &(6O 'ere unspeci-ied. and the remainin) &(#O donIt hae
reli)ion(
Ta3(% #"
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Fr%7%n'. an) P%r'%n!a*% Di!ri3!i"n "0 !$% R%#"n)%n! in T%r, "0 E)'a!i"na( A!!ain,%n!
8n9;
E)'a!i"na( A!!ain,%n! Fr%7%n'. P%r'%n!a*%
Colle)e Graduate "> 6"(>&
MasterIs e)ree Holder $ ""(>&
C; > #"(>&
'ith M; units # "(>&
Total & #&&(&&
Table reeals the -re5uenc* and percenta)e distribution o- respondents
as to educational attainment( t sho's that -rom & respondents. "> or 6"(>O
'ere colle)e )raduate. $ or ""(>O 'ere master,s de)ree holder. > or #"(>O 'ere
C; and the remainin) # or "(>O 'as 'ith M; units(
The data presents that maBorit* o- teachers in /atan)as National Hi)h
0chool 'ere colle)e )raduates( ;ccordin) to
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8n9;
S%r/i'% Fr%7%n'. P%r'%n!a*%
#2> *ears #! "(>&62#& *ears #& ">(&&
##2#> *ears 3 !(>&
#62"& *ears 3 !(>&
"#2"> *ears " >(&&
"623& *ears #&(&&
3# *ears and aboe # "(>&
Total & #&&(&&
Table > sho's the -re5uenc* and percenta)e distribution o- respondents
as to *ears in serice( Arom a total o- =&? -ort* respondents. #! or "(>O 'ere
#2> *ears in serice. #& or ">(&O 'ere 62#& *ears in serice. 3 or !(>O 'ere ##2
#> *ears and #62"& *ears in serice. or #&(&O 'ere "623& *ears in serice. "
or >(&O 'ere "#2"> *ears in serice and the remainin) # or "(>O 'as in serice
-or 3# *ears and aboe(
;ccordin) to Ne' Teacher Center ="?. oer one million teachers moe
in and out o- schools annuall*. and bet'een & and >& percent 5uit 'ithin -ie
*ears( The hi)h turnoer rates are sometimes due to la*o--s( n)ersoll. an
education pro-essor at
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The -ollo'in) are the educational technolo)* emplo*ed b* the
respondents in the delier* o- Mathematics instruction(
Ta3(% =Fr%7%n'. an) P%r'%n!a*% Di!ri3!i"n "0 !$% R%#"n)%n! in T%r, "0 Uin*E)'a!i"na( T%'$n"("*. in Ma!$%,a!i' T%a'$in*
8n9;T%'$n"("*. Fr%7%n'. P%r'%n!a*%
Word Processin) #3 3"(>&O
Wor7boo7s "$ !"(>&O
e-erence boo7s 3! $"(>&O
Ma)a4ine ;rticles > #"(>&O
Ne'spapers 3 !(>&O
Chal7 board8 Glass board 3% $>(&&O
LC ProBections #> 3!(>&O
Fpa5ue ProBections & &(&&O
Ferhead ProBections " >(&&O
Tape ecorders & &(&&O
adio & &(&&O
Phono)raphs # "(>&O
Teleision 3 !(>&O
Computer 0o-t'are $ ""(>&O
E2boo7s #&(&&O
ia)rams "3 >!(>&O
Eperimental Models #&(&&O
Photo)raphs8llustrations 33 %"(>&O
ecordin) # "(>&O
Printin) "> 6"(>&O
Maps and Globes #! "(>&O
Posters #> 3!(>&O
Modellin) so-t'are & &(&&O
/ulletin /oards #6 &(&&O
Museums & &(&&O
0pread sheet pro)rams 6 #>(&&O
Ailmstrips & &(&&O
Models #> 3!(>&O
Motion pictures # "(>&O
ideotape # "(>&O
Aieldtrips #% >(&&O
esource person # "(>&O
0lide Presentation=Po'erPoint? "& >&(&&O
#>multiple responses allo'ed
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Table 6 reeals the -re5uenc* and percenta)e distribution o- respondents
in terms o- usin) educational technolo)* in Mathematics teachin)( t sho's that
-rom & respondents. chal7 board8 )lass board 'as the most use-ul educational
technolo)* in teachin) 'ith a -re5uenc* o- 3% and a percenta)e o- $>( MaBorit* o-
the respondents used the chal7 board8 )lass board to ensure that tet and
presenter remain isible throu)hout( ;nd it is an eas* 'a* to present the lesson
and it helps the students to easil* understand 'hat the teacher discusses(
;ccordin) to Nanc*="?. althou)h students loe to 'rite their ans'er on the
board and the* 'ould all be ea)er to participate in doin) so. the*,e learned to
'or7 the s*stem to )enerate as little 'or7 as possible( Arom a total o- &
respondents. 3! or $"(>O used re-erence boo7 as their educational technolo)* in
Mathematics teachin)( Most o- them rel* on re-erence boo7 -or more in-ormation
and techni5ue(
Photo)raphs and illustration 'ere third to the hi)hest educational
technolo)* used in teachin) 'ith a -re5uenc* o- 33 and a percenta)e o- %"(> to
eplain comple process( The* must 'or7 throu)h -ormulae( /ecause o- them.
lectures are eas* to 'atch. the tet or s7etch sta*s isible as it is produced. and
the lecturer,s -ace remains a natural part o- the presentation(
Net item 'as the 'or7boo7 'ith a -re5uenc* o- "$ and a percenta)e o-
!"(>( The respondents considered this educational technolo)* as as an
application to assess the learnin) o- the students( t proides aluable
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opportunities to per-orm numeric operations or balance e5uations( ;ccordin) to
W*els ="?. 'or7sheet is an e--ectie tool in on)oin) e--orts encoura)in)
students to en)a)e their brains durin) class( Wor7sheets used in class can also
help direct studentsI learnin) out2o-2class( Last item 'as printin) 'ith a -re5uenc*
o- "> and a percenta)e o- 6"(> 'hich 'as an inaluable tool -or the classroom(
Printin) o--ers a means -or trac7in) ho' 'ell students are learnin) and
understandin) the subBect matter that *ou are teachin)(
;s sho'n in the table. the respondents seldom use opa5ue proBectors.
tape recorders. radio. modellin) so-t'are. museum and -ilmstrip as their
instructional materials 'ith a -re5uenc* and percenta)e o- &( The* considered
this educational technolo)* not suited in teachin) Mathematics and the* need to
motiate the students to encoura)e them to learn e--ectiel* -rom radio
pro)rammes( The classroom needs to be or)ani4ed to proide the optimum
conditions -or listenin)(
;ccordin) to r( stodic. the role o- educational technolo)* in teachin) is
o- )reat importance because o- the use o- in-ormation and communication
technolo)ies( There are di--erent opinions amon) teachers in the -ield o- social
and technical sciences( Educational technolo)* is still not bein) applied
su--icientl* because o- lac7 o- school e5uipment. necessar* resources and
insu--icient 5uali-ication o- teachers -or the implementation o- these technolo)ies(
#6
#!
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6& E00%'! "0 in* E)'a!i"na( T%'$n"("*.
The -ollo'in) are the e--ects o- usin) educational technolo)* in the
delier* o- the respondents in teachin) Mathematics(
Ta3(% >M%an Di!ri3!i"n "0 R%#"n% a r%*ar) !" !$% E00%'! "0 Uin* E)'a!i"na(
T%'$n"("*. in Ma!$%,a!i' T%a'$in*
E00%'! "0 Uin* E)'a!i"na( T%'$n"("*. inMa!$%,a!i' T%a'$in*
?M SD VI
#( Establish a positie classroom mana)ement( (>> &(6 0tron)l* ;)ree
#( ;rouse and sustain students, interest( (>% &(6 0tron)l*
;)ree3( /e)in lessons b* )iin) clear instruction( (>& &(6 0tron)l*
;)ree
( Hae partners in teachin)( (&> &(%# ;)ree
>( nternali4e s7ills and concepts amon) students( ("> &(63 ;)ree6( 0timulate better and proide mental ima)er*( ("& &(6# ;)ree
!( Ma7e abstract ideas more concrete amon) students( (3& &(>6 ;)ree%( ein-orcin) student,s learnin) 'ill be possible( (33 &(>! ;)ree
$( Proide aried eperiences( (3& &(>6 ;)ree
#&( Ma7e learnin) more permanent( ("% &(6% ;)ree
##( Motiate students in learnin) o- mathematics( (> &(6 ;)ree
#"( ;ccomplish more comple tas7 amon) students( (&% &(!3 ;)ree#3( Ma7e students 'or7 cooperatiel* and it proidespeer tutorin)(
("% &(>> ;)ree
#( esi)n s7ills and improed student,s attention( (3& &(6$ ;)ree
#>( Eecute student,s technical s7ills( ("% &(!" ;)ree
#6( ;ppl* mathematics into real2'orld situations( (3> &(>% ;)ree
#!( Per-orm multi2tas7in) actiities amon) students( ("> &(>$ ;)ree
#%( Enhance student,s critical thin7in) s7ill( (33 &(66 ;)ree
#$( Fercome di--iculties in learnin) mathematics( (#% &(6% ;)ree
"&( ncrease the use o- outside resources( (&> &($3 ;)ree
Composite Mean ("$ &(>& ;)ree
Le)end: WM 2 Wei)hted Mean. 0 Q 0tandard eiation. Q erbal nterpretation
This table presents the e--ects o- usin) educational technolo)* in
Mathematics teachin)( t is sho'n -rom Table ! that the respondents 'ho use
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educational technolo)* arouse and sustained the student,s interest =(>%?.
established a positie classroom mana)ement =(>>?. be)an a lesson b* )iin)
clear instruction =(>&?. motiated students -rom learnin) Mathematics and
applied Mathematics in real 'orld contet =(3>?(
Aurthermore. the table also sho's the e--ects o- usin) educational
technolo)* in Mathematics teachin) in terms o- rein-orcin) students, learnin)
=(33?. enhancin) students, critical thin7in) s7ills =(33?. ma7in) abstract ideas
more concrete amon) his8her students =(3&?. desi)nin) s7ills and improin)
students attention =(3&? and proidin) aried eperiences =(3&?(
Moreoer. the respondents a)reed that educational technolo)* ma7es
learnin) more permanent =("%? ma7es students 'or7 cooperatiel* and
proides peer tutorin) =("%? eecutes student,s technical s7ills =("%?
internali4es s7ills and concepts amon) students =(">? and per-orms multi2
tas7in) actiities amon) students(
Li7e'ise. the respondents also a)reed that it stimulates better proides a
mental ima)er* =("&?. oercomes di--iculties in learnin) mathematics =(#%?.
accomplishes more comple tas7 =(&%?. increases outside resources =(&>? and
seres as partners in teachin) =(&>?(
;ccordin) to the -indin)s. item number t'o ="? )ot the hi)hest 'ei)hted
mean o- (>% 'ith a erbal interpretation as stron)l* a)ree( MaBorit* o- the
respondents a)reed that educational technolo)* emplo*ed b* respondents
#%
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arouse the interest o- the students in Mathematics learnin)( With educational
technolo)*. the classroom is a happier place( 0tudents are ecited about bein)
able to use technolo)* and there-ore are more apt to learn( 0tudents become
more responsible( Technolo)* helps students ta7e more control oer their o'n
learnin)( The* learn ho' to ma7e their o'n decisions and thin7 -or themseles(
0tudents can hae access to di)ital tetboo7s that are constantl* updated and
o-ten more iid. hep-ul. creatie. and a lot cheaper than those old hea* boo7s(
=Wain'ri)ht. ""?
The respondents stron)l* a)reed that educational technolo)* is
establishin) a positie classroom mana)ement =(>6?( MaBorit* o- the
respondents a)reed that the educational technolo)* no'ada*s ma7es eer*thin)
eas* and e--ectie( t helps teachers in mana)in) their classroom er* e--icientl*(
n addition. the most important thin) is that a teacher needs to hae sel-2
con-idence( He has to beliee in himsel- to in-luence students in a )reat manner(
The 'a* *ou present *oursel- 'ith con-idence surel* matters( The teacher pla*s
an essential role in eer* student,s education. behaior and deelopment( n the
present competitie enironment. it,s a tou)h tas7 -or a teacher to mana)e a
classroom b* concentratin) on eer* student so that the use o- educational
technolo)* reall* helps a lot( =/has7ar. "?
Teachers stron)l* a)reed that the* could be)in lessons b* )iin) clear
instruction throu)h educational technolo)* =(>&?( This ma* be due to the
#$
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Ta3(% @M%an Di!ri3!i"n "0 R%#"n% a R%*ar) !" !$% I% an) C"n'%rn
En'"n!%r%) B. T%a'$%r in Uin* E)'a!i"na( T%'$n"("*.
I% an) C"n'%rn ?M SD VI#( The teachers are not a'are in usin)educational technolo)*(
#($> #("& isa)ree
"( The teachers are not eposed in net'or7actiities(
"(& &($& isa)ree
3( The teachers are eperiencin) lac7 o- -acilities( 3(%> #(#6 ;)ree
( The teachers lac7 the aailabilit* o- thematerials(
3(%> #(&3 ;)ree
>( The teachers, bud)et is insu--icient( (3> #(# ;)ree6( The teachers, transition o- basic education to12#" curriculum(
3("& &(%" Moderatel* ;)ree
!( The teachers don,t hae time to eploreeducational technolo)*( "(!3 &($# Moderatel* ;)ree
%( The teachers are not e5uipped 'ith thenecessar* s7ills or strate)ies needed(
"(6& &(% Moderatel* ;)ree
$( The teachers, use o- educational technolo)*inside the classroom is er* seldom(
3(#% #(&6 Moderatel* ;)ree
#&( The teachers, re-erences are not up2to2date( "(#& #(#$ isa)ree
Composite Mean 3(&" &(!# Moderatel* ;)reeLe)end: WM 2 Wei)hted Mean. 0 Q 0tandard eiation. Q erbal nterpretation
This table presents the issues and concerns encountered b* teachers in
usin) educational technolo)*( t sho's that teachers a)reed that the* are hain)
insu--icient bud)et =(3>?. eperiencin) lac7 o- -acilities =3(%>? and non2aailabilit*
o- materials =3(%>?(
;ccordin) to Conle* ="&?. 'ithout ade5uate hard'are. so-t'are. internet
access. and the li7e. teachers and media specialists ma* -ind it di--icult to trul*
inte)rate technolo)*( Aor schools and teachers 'ith limited bud)ets. this ma*
seem to be an insurmountable issue( Educators can also -ind lac7 o- access to
technolo)* a barrier( When the school does not hae appropriate amounts and
suitable t*pes o- technolo)* in locations 'here teachers and students can use
""
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them in appropriate 'a*s. then the technolo)* is meanin)less(
Li7e'ise. teachers moderatel* a)reed that their transition o- basic
education to 12#" curriculum =3("&?. er* seldom use o- educational technolo)*
inside the classroom =3(#%?. inade5uate time to eplore it ="(!3?. and une5uipped
use o- necessar* s7ills or strate)ies ="(6&? are some o- the issues the*
encountered in usin) educational technolo)* in teachin) mathematics(
nte)ratin) technolo)* into a curriculum can be trul* time2consumin).
especiall* 'hen it must be ali)ned 'ith curriculum. standards and other
)oals( Educators must spend hours preie'in) 'ebsites. )ainin) -amiliarit* 'ith
hard'are and so-t'are. and ac5uaintin) themseles 'ith arious
pro)rams( Teachers 'ho are 'illin) to 'or7 lon)er hours to do this o-ten pa* a
personal price in @@burn out,, and an eentual eit -rom the
school =He' /rush. "&&6?(
Aurthermore. the table sho's that teachers 'ere eposed in net'or7
actiities ="(&?. their re-erences 'ere up2to2date ="(#&?. and the* 'ere a'are o-
usin) technolo)* =#($>?( The -indin)s indicate that mathematics teachers in
/atan)as National Hi)h 0chool hae a er* positie attitude to'ards educational
technolo)*( The* are inclined to use it in teachin) mathematics( Technolo)*
proides numerous tools that teachers can use in and out o- the classroom to
enhance student learnin)( =https:88'''(smu(edu8Proost8CTE8esources8
Technolo)*. "?
"3
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& C"n'(i"n an) Dir%'!i"n 0"r F!r% U%
The -ollo'in) conclusions 'ere dra'n based on the -indin)s:
#( Most o- the teachers in the /atan)as National Hi)h 0chool 'ere
bet'een "6 to 3& *ears old. -emale. oman Catholic. Colle)e
)raduates. and had # to > *ears o- serice in teachin)(
"( Chal7boards and8or )lass boards. re-erence boo7s. photo)raphs and
illustrations. 'or7boo7s. and printin)s 'ere the educational technolo)*
most o-ten used(
3( Educational technolo)* arouses and sustains students, interest in
learnin) Mathematics. establishes a positie classroom mana)ement.
and helps the teacher be)in the lessons b* )iin) clear instructions(
( nsu--icient bud)et. lac7 o- -acilities. and non2aailabilit* o- materials
'ere the primar* issues encountered b* the mathematics teachers in
usin) educational technolo)*(
>( ; teachin) material 'as proposed based on the -indin)s(
/ased on the conclusions. the -ollo'in) recommendations are hereb* o--ered:
1& ;doption o- the teachin) material proposed in enrichin)
Mathematics teachin) and learnin)(
2& Teachers need to inte)rate other 7inds o- educational technolo)*(6& Teachers need to deelop their s7ills in usin) educational
technolo)*(
"
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& Educational trainin)s and seminars about 12#" curriculum should
be continued(
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technolo)* that simultaneousl* proides somethin) to tal7 about =content? andthe means to hold the conersation =interaction?(
e9e proides the teacher 'ith both a ran)e o- actiities to choose and
present as a se5uence to create a tutorial( ; tutorial mi)ht. -or eample. start 'ithobBecties and pre27no'led)e -ollo'ed b* readin) actiities. lin7s to eternal'eb pa)es. articles ='hich are presented inside the tutorial 'indo'?. or Wi7ipedia( Fpportunities -or -ormatie assessment include 0CFM 5ui4. multiplechoice. multiple2select. Clo4e =-ill in the )ap?( The tools are 'ell thou)ht out andeas* to use(
e9e has been deeloped to oercome a number o- identi-ied limitations o- other 'eb editin) tools:
• Traditionall* 'eb2authorin) so-t'are usuall* entails a steep learnin) cure
the* lac7 the abilit* to be instinctie and are not desi)ned speci-icall* -or publishin) learnin) content( Conse5uentl*. teachers hae not been
inclined to adopt these technolo)ies -or publishin) online learnin) content(e9e aims to proide an intuitie. eas*2to2use tool that 'ill enable teachersto publish pro-essional 'eb pa)es -or learnin)
• Currentl*. learnin) mana)ement s*stems do not o--er sophisticated
authorin) tools -or 'eb content ='hen compared to the capabilities o- 'eb2authorin) so-t'are or the s7ills o- an eperienced 'eb deeloper?( e9e isa tool that proides pro-essional 'eb2publishin) capabilities that 'ill beeasil* re-erenced or imported b* standards compliant learnin)mana)ement s*stems
• Most content mana)ement and learnin) mana)ement s*stems utili4e a
centrali4ed 'eb serer model thus re5uirin) connectiit* -or authorin)(
This is limitin) -or authors 'ith lo' band'idth connectiit* or noconnectiit* at all( e9e 'ill be deeloped as an o--line authorin) tool'ithout the re5uirement -or connectiit*(
• Man* content and learnin) mana)ement s*stems do not proide an
intuitie '*si'*) enironment 'here authors can see 'hat their content'ill loo7 li7e in a bro'ser 'hen published. especiall* 'hen 'or7in) o--line(e9e 'ill mimic '*si'i) -unctionalit* enablin) users to see 'hat thecontent 'ill loo7 li7e 'hen published online(
T$% a)/an!a*% "0 %%
• Proides a collection o- tools to create se5uences o- on2line learnin)
actiities• ;ctiities can be arran)ed in an* order and se5uences can be branched
• 0imple editin) dialo)ue that allo's clean paste -rom Word
• t can displa* e5uations and ima)es. 'ithout needin) to use HTML or 'eb
authorin) tools
"6
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• Eas* lin7a)e to eternal 'ebsites
• Eas* creation o- simple Multiple Choices Ruestions =MCRs? and 5ui44es
• Choice o- a ran)e o- aailable st*le sheets =appearances?
• Eportin) o- materials as HTML -iles -or use in a LE(
S%!!in*-# %% "n ("'a( '",#!%r:e9e is open source and can be -reel* do'nloaded -rom:'''(eelearnin)(or)8ArontPa)e
D%'ri3% $"4 %% 'r%a!% !$% #a'5a*% 0i(%&# Get or)ani4ed b* creatin) a -older -or this proBect(" Either use Alash to create s'- -iles o- the t'o templates or do'nload them
-rom the lin7s on the ri)ht( No'. to edit the Home pa)e( Clic7 on the pa)e name inthe Futline 'indo' to select it and then clic7 on the ename button aboeit( Enter an appropriate name e()( ; Home'or7(
6 Net loo7 do'n to the ieices 'indo' and select Aree Tet( ;n editor appears on the ;uthorin) pa)e(
! Enter a short introduction to the actiit* and some instructions -or thestudent( Note that *ou can add ima)es. ideos and -ormat the tet usin)
the toolbar at the top o- the editor(% Clic7 on the )reen tic7 at the bottom o- the editor 'hen *ou are -inished($ ou can )o bac7 and alter the pa)e at an* time b* clic7in) on the paper
and pencil icon belo' the tet( This ta7es *ou bac7 to the edit 'indo'(#& 0ae the proBect(
This process is commonl* the same -or all the ieices in the list(No' 'e 'ill create a ne' pa)e and insert one o- our Alash moies onto it(
# Clic7 onto the title pa)e. in this case a home'or7(" Clic7 on the add pa)e button at the top o- the outline 'indo'(3 The outline tree 'ill sho' the ne' pa)e as a branch -rom the title pa)e(
No' to add the clo4e actiit* to the ne' pa)e(# Clic7 on the ne' pa)e to select it("
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> Clic7 into the title bo at the top and add a title or short description -or thetas7(
6 Clic7 on the insert 8 edit embedded media button in the toolbar =the -ilm
icon circled on the screenshot aboe?(! 0et the media t*pe to shoc7'ae -lash(%
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Ma!$ H%(#%r Li!%D%'ri#!i"n
Math Helper Lite is a -ree do'nloadable app -or solin) mathematical
problems -or -or ;l)ebra . ;l)ebra . Calculus. and Math -or secondar* anduniersit* students( This Math Helper Lite app allo's the users not onl* to seethe ans'er and also the detailed step2b*2step solution so that *ou ma* learn ho'to do the problems rather than Bust )ettin) the ans'ers( This application is notonl* -or student but also -or teacher(
S'"#%
• Linear ;l)ebra 2 Fperations 'ith matrices
• Linear al)ebra 2 0olin) s*stems o- linear e5uations
• ector al)ebra 2 ectors
• ector al)ebra Q 0hapes
• Mathematical anal*sis Q eriaties• The theor* o- probabilit*
• The number and se5uence
• Aunction plotter
• eriaties. limits. )eometric shapes. the tas7 o- statistics. matrices.
s*stems o- e5uations and ectors
Pr"'%)r%&+ ne' problems
• Ne' applications. li7e Aormulae re-erence -or uniersit* and s*mbolic
calculators
• ;n improed deriatie calculator
• ; brand ne' desi)n inter-ace
• Locali4ation -or ussian. En)lish. talian. Arench. German. and
Portu)uese
• The application is e5uipped 'ith a conenient multi2-unction calculator and
etensie theoretical )uide
"$
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G%"*%3ra
D%'ri#!i"nGeoGebra ='''()eo)ebra(or)? is -ree d*namic mathematics so-t'are -or all leels o- education that composed )eometr*. al)ebra. spreadsheets. )raphin).statistics and calculus in one eas*2to2use pac7a)e( nteractie learnin). teachin)and ealuation resources created 'ith GeoGebra can be used and shared b*eer*one at '''()eo)ebratube(or)(
GeoGebra is one o- the most pre-erred d*namic mathematics so-t'are( tsupports 0TEM education and innoations in teachin) and learnin) around the'orld( t has also receied arious a'ards in educational so-t'are(
The adanta)es o- usin) Geo)ebra are as -ollo's:
U Aree to use so-t'are -or learnin). teachin) and ealuationU Aull* interactie. eas*2to2use inter-ace 'ith man* po'er-ul -eaturesU ;ccess to an eer2epandin) pool o- resources at '''()eo)ebratube(or)U ;ailable in man* lan)ua)esU ; -un 'a* to reall* see and eperience mathematics and scienceU ;daptable to an* curriculum or proBectU : Ma7in) a line( Clic7 the appropriatel* named JLine throu)h T'o PointsJbutton on the ri)ht o- the ne' point button( Then clic7 on Point A and then Point B on the )raph( ; ne' line is -ormed labeled JaJ =labels can be chan)eda-ter'ards?( 0tep 6: Ma7in) a perpendicular line( Clic7 the net button to the ri)ht calledJPerpendicular LineJ( t as7s to clic7 on a point and a line. so clic7 on either Point
3&
http://www.geogebra.org/http://www.geogebra.org/cms/en/installershttp://www.geogebra.org/cms/en/installershttp://www.geogebra.org/cms/en/installershttp://www.geogebra.org/
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A. Point B. or create a Point C 'ith the add a ne' point button -rom step ( Thenclic7 on Line A(0tep !: Fnce it hae printed out a 'or7sheet or dra'n somethin) on the board. it
is done and it is di--icult i- not impossible to pla* around 'ith it(
REFERENCES
A& B""5
Corpu4. /( ="?.Prin'i#(% "0 T%a'$in* 2( Rue4on Cit*: Lorimar Publishin).
nc(
Corpu4. /( and Lucido. P( =""?. E)'a!i"na( T%'$n"("*. 1( Rue4on Cit*:
Lorimar
Publishin). nc(Lucas. M( and Corpu4 /( ="?. Fa'i(i!a!in* L%arnin*& Rue4on Cit*:
Lorimar Publishin). nc(
Pila. ( et al( ="?.T$% R"(% "0 E)'a!i"na( T%'$n"("*. in E)'a!i"n& ;nil
Publishin). nc&
3#
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B& "rna(
/ec7er. H( et al( ="&&!?. In!%rn%! % 3. !%a'$%r: C"n)i!i"n "0 #r"0%i"na(
%an) !%a'$%r-)ir%'!%) !)%n! %&rine. C;: Center -or esearch on
n-ormation Technolo)* and Fr)ani4ations(
Education Ruarterl*( ="&&$?.E)'a!i"na( T%'$n"("*.. ol( 67 =#?. !$2$#
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APPENDI A
LETTER TO THE PRINCIPAL
anuar* ##. "
r( Lorna M( Fchoa
Principal
/atan)as National Hi)h 0chool
ear Ma,am.
We are Third ear Education students o- this uniersit* and are currentl*
conductin) a research stud* entitled “The Utilization of Educational Technology
3
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in Enhancing Mathematics Leaning in !"#$ Classooms in Batangas %ational
&igh 'chool( )uide in *e+elo,ing 'tudent Enhancement Acti+ities-
n connection 'ith this. 'e are re5uestin) *our permission to distribute5uestionnaires to *our Mathematics teachers( We assure *ou that eer* data
ac5uired 'ill be treated 'ith -ull con-identialit*( We are hopin) -or *our
consideration(
Than7 *ou er* much and God blessX
espect-ull* *ours.
Macalindon). an 1ristopher (
Manalo. Ma( ;n)elica A(
Pan))o. omuel A(
0andoal. /erl*n ;(
esearchers
Noted b*:
PFA( CH; HEN;NEYesearch ;diser
APPENDI B
LETTER TO THE RESPONDENTS
anuar* ##. "
ear espondents.
Good da*X
We are Third ear Education students o- this uniersit* and are currentl*
conductin) a research stud* entitled “The Utilization of Educational Technology
in Enhancing Mathematics Leaning in !"#$ Classooms in Batangas %ational
&igh 'chool( )uide in *e+elo,ing 'tudent Enhancement Acti+ities-
3>
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elatie to this. ma* 'e humbl* as7 *our time and cooperation in ans'erin)
this 5uestionnaire( est assured that *our ans'er 'ill be treated 'ith utmost
con-identialit* and 'ill be used -or research purposes onl*(Than7 *ou and God blessX
2esearchers
APPENDI C
UESTIONANNAIRE
I& Pr"0i(% "0 !$% R%#"n)%n!
nstruction: ead the -ollo'in) care-ull* and put a chec7 mar7 =0? on the option
that reeal *our status(
1&1 A*% 8in .%ar;
= ? "# Q "> = ? 6 2 >&= ? "6 Q 3& = ? ># 2 >>
= ? 3# Q 3> = ? >6 2 6&
= ? 36 Q & = ? 6# and aboe
= ? # Q >
36
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1&2 G%n)%r Ori%n!a!i"n
= ? Male = ? Aemale
1&6 R%(i*i"n
= ? oman Catholic = ? ;dentist
= ? Protestant = ? Muslim
= ? /orn ;)ain = ? Fthers. please speci-*
1& Hi*$%! E)'a!i"na( A!!ain,%n!
= ? Colle)e Graduate = ? octorate e)ree Holder
= ? ocational Graduate = ? Fthers. please speci-*
= ? Master,s e)ree Holder
1&< L%n*!$ "0 S%r/i'% 8in .%ar;
= ? # Q > = ? "# 2 ">
= ? 6 Q #& = ? "6 2 3&
= ? ## Q #> = ? 3# and aboe
= ? #6 Q "&
II& E)'a!i"na( T%'$n"("*. E,#(".%) 3. T%a'$%r in T%a'$in* Ma!$%,a!i'
nstruction: Put a chec7 mar7 =0? in the educational technolo)* *ou are usin) in
the classroom(
Word Processin) ecordin)
Wor7boo7s Printin)
e-erence boo7s Maps and Globes
Ma)a4ine ;rticles Posters
Ne'spapers Modellin) so-t'are
Chal7 board8 Glass board /ulletin /oards
LC ProBections Museums
Fpa5ue ProBections 0preadsheet pro)rams
Ferhead ProBections Ailmstrips
3!
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Tape ecorders Models
adio Motion pictures
Phono)raphs ideotape
Teleision Aieldtrips Computer 0o-t'are esource person
E2boo7s 0lide
Presentation=Po'erPoint?
ia)rams Fthers =please speci-*?
Eperimental Models
Photo)raphs8llustrations
III& E00%'! "0 E)'a!i"na( T%'$n"("*. "n !$% T%a'$in* "0 Ma!$%,a!i'
nstruction: The -ollo'in) are the e--ects o- educational technolo)* on teachin) o-
mathematics( Place a chec7 mar7 on the numbered column that corresponds to
*our opinion( Please be )uided b* the -ollo'in) scorin)(
S'a(% V%r3a( In!%r#r%!a!i"n
> 0tron)l* ;)ree
;)ree
3 Moderatel* ;)ree
" isa)ree
# 0tron)l* isa)ree
Educational Technology em"loyed #y the
teachers in teaching mathematics was a#le to$$$
< 6 2 1
#( Establish a positie classroom mana)ement(
3%
3$
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#( ;rouse and sustain students, interest(
3( /e)in lessons b* )iin) clear instruction(
( Hae partners in teachin)(
>( nternali4e s7ills and concepts amon) students(6( 0timulate better and proide a mental ima)er*(
!( Ma7e abstract ideas more concrete amon) his8her
students(
%( ein-orcin) student,s learnin) 'ill be possible(
$( Proide aried eperiences(
#&( Ma7e learnin) more permanent(
##( Motiate students in learnin) o- mathematics(
#"( ;ccomplish more comple tas7 amon) students(
#3( Ma7e students 'or7 cooperatiel* and it proides
peer tutorin)(#( esi)n s7ills and improed student,s attention(
#>( Eecute student,s technical s7ills(
#6( ;ppl* mathematics into real2'orld situations(
#!( Per-orm multi2tas7in) actiities amon) students(
#%( Enhance student,s critical thin7in) s7ill(
#$( Fercome di--iculties in learnin) mathematics(
"&( ncrease the use o- outside resources(
IV& E00%'! "0 E)'a!i"na( T%'$n"("*. "n !$% T%a'$in* "0 Ma!$%,a!i'
Dir%'!i"n: The -ollo'in) are the issues and concerns encountered b*
mathematics teachers related to educational technolo)*( Place a chec7 mar7on the numbered column that corresponds to *our opinion( Please be )uided
b* the -ollo'in) scorin)(
S'a(% V%r3a( In!%r#r%!a!i"n
> 0tron)l* ;)ree
;)ree
3 Moderatel* ;)ree
" isa)ree
# 0tron)l* isa)ree
%ssues and Concerns < 6 2 1#( The teachers are not a'are in usin) educational
technolo)*(
"( The teachers are not epose in net'or7 actiit*(
3( The teachers are eperiencin) lac7 o- -acilities(
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( The teachers lac7 the aailabilit* o- the materials(
>( The teachers, bud)et is insu--icient(
6( The teachers, transition o- basic education to 12#"
curriculum(!( The teachers don,t hae time to eplore
educational technolo)*(
%( The teachers are not e5uipped 'ith the necessar*
s7ills or strate)ies needed(
$( The teachers, use o- educational technolo)* inside
the classroom is er* seldom(
#&( The teachers, re-erences are not up2to2date(
CURRICULUM VITAE
I& P%r"na( Ba'5*r"n)
Name: an 1ristopher ( Macalindon)
;)e: #%
/irthda*: une #. #$$!
0e: Male
eli)ion: oman Catholic
Name o- Aather: e* 0( Macalindon)
Name o- Mother: ita ( Macalindon)
Course: /0E2Mathematics
;ddress: Tu*. /atan)as
II& E)'a!i"na( A!!ain,%n!
Y%ar
Pri,ar.: Gre)orio Paradero Elementar* 0chool "&&32"&&$
S%'"n)ar.: Fur Lad* o- Peace ;cadem* "&&$2"
T%r!iar.:
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III& Or*ania!i"n
Auture Educators,
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Auture Educators,
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III& Or*ania!i"n
Auture Educators,
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Auture Educators,
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/*
Macalindon). an 1ristopher (
Manalo. Ma( ;n)elica A(Pan))o. omuel A(
0andoal. /erl*n ;(
March. "
APPROVAL SHEET
This thesis entitled. The Utilization of Educational Technology in
Enhancing Mathematics Leaning in !"#$ Classooms in Batangas %ational &igh
'chool( )uide in *e+elo,ing 'tudent Enhancement Acti+ities prepared and
submitted b* an 1ristopher ( Macalindon). Ma( ;n)elica A(Manalo. omuel
A(Pan))o. and /erl*n ;(0andoal. in partial -ul-ilment o- the re5uirements -or the
de)ree o- /achelor o- 0econdar* Education MaBor in Mathematics has been
eamined and recommended -or oral eamination(
Mr& Ri'$ar) A& H%rnan)%
Pan%( "0 Ea,in%r
;pproed b* the committee and oral eamination 'ith a )rade o- passed
on March ##. "(
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Dr& E)4ar) E& Ba3aa
Dr& An*%(a C& Na#a Mr& C$ri!%r A& L"#%
;pproed and accepted to the partial -ul-illment o- the re5uirement
on the de)ree o- /achelor o- 0econdar* Education MaBor in Mathematics(
Dr& E)4ar) E& Ba3aaD%an+ C"((%*% "0 E)'a!i"n
DEDICATION
This humble 'or7 al'a*s reminds us o-
a challen)in) phase in our li-e(
To our beloed -amilies:Fur parents. brothers. and sisters
Whose help and )uidance hae encoura)e us
to strie -urther in our stud*
to our -riends. 'ho inspired us a lot to pursue this stud*.
lastl* to our ;lmi)ht* God. Whom praise and
honor. -or His incomparable compassion and loe
ma* His name be )lori-ied and ealted -oreer(
ii
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ACKNO?LEGDEMENT
The researchers 'ish to cone* their deepest )ratitude and sincerest
appreciation to the -ollo'in) person 'ho helped in the accomplishment o- this
stud*:
r( ichard Hernande4. our adiser. -or the )uidance. superision and
constructie criticism in the preparation o- this stud*
r( Ed'ard E( /abasa. ean o- Colle)e o- Education. -or his moral
support and encoura)ement to -inish our research
r( omell ;( amos. statistician at the
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The respondents -or accomplishin) the 5uestionnaire 'hich contributed to
the completion o- this stud*
The researchersI -amil* and -riends -or their loe. concern. and un5uali-ied
support and
;boe all. to the ;lmi)ht* Aather 'ho )ae us stren)th. -aith and patience
to -ace all the hardships and challen)es in the preparation and completion o- this
stud*(
TABLE OF CONTENTS
Title Pa)eZZZZZZZZZZZZZZZZZZZZZZZZZZZ(ZZ( i ;pproal 0heetZZZZZZZZZZZZZZZZZZZZZZZZZ(ZZ ii
;c7no'le)dementZZZZZZZZZZZZZZZZZZZZZZZZZZ iii
edicationZZZZZZZZZZZZZZZZZZZZZZZZZ((ZZZ((( i
Table o- ContentsZZZZZZZZZZZZZZZZZZZ(ZZZ(((ZZZ(
;bstractZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ(( #
#(& ntroductionZZZZZZZZZZZZZZZZZZZZZZZZZZZ( #
FbBecties F- The 0tud*ZZZZZZZZZZZZZZZZZZZZ((
Conceptual Arame'or7ZZZZZZZZZZZZZZZZZZZ(ZZ >
/ac7)round o- the 0tud*ZZZZZZZZZZZZZZZZZZZZ(( 6
"(& Methodolo)*ZZZZZZZZZZZZZZZZZZZZZZZZZZZ $
3(& esults and iscussionZZZZZZZZZZZZZZZZZZ(ZZZZ #&
iii
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(& Conclusion and irection Aor Auture