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Effect of Manipulatives on Achievement Scores
in Algebra of Grade 7. Students of
Cabuyao National High School –
Cabuyao City, Laguna
ROWELA. ELCA
Conceptual Framework
IV
Manipulatives in Teaching Algebra
DV
Students’ Performance
Algebra
Concrete Manipulatives
Virtual Manipulatives
Pre-Test
Pre-Test
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
1. What is the
mean level of
manipulatives
in teaching
algebra in
terms of:
1.1 Concrete
Manipulatives
weighted
mean
standard
deviation
The level of
manipulatives in
teaching algebra
in terms of
concrete
manipulatives
was “Very
High” as
sustained by the
overall weighted
mean of 4.68.
This imply that
when
problems in
algebra were
presented with
concrete
manipulatives,
students
understand it
well.
Students are
advised to
continue
enriching their
knowledge in
Algebra by
using
manipulatives
because that
would help
them in the
complexities
of the advance
subjects in
Mathematics.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
1. What is the
mean level of
manipulatives
in teaching
algebra in
terms of:
1.2 Virtual
Manipulatives
weighted
mean
standard
deviation
The overall
weighted mean
of 4.55 with
verbal
interpretation of
a “Very High”
showed for the
level of
manipulatives in
teaching algebra
in terms of
virtual
manipulatives.
Abstract
concepts are
essential to
understanding
and doing
Mathematics,
particularly in
Algebra.
Virtual
manipulatives
can also be
used to help
students link
these to its
abstract
concept.
Students are
encouraged to
use the
manipulatives
before class
sessions. Few
more days on
familiarizatio
n of the
manipulatives
may have
been helpful.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
2. What is the
mean level of
students’
achievement
scores in
Algebra in
terms of pre-
test and post-
test?
weighted
mean
standard
deviation
Pre-test of
experimental group
showed mean of
15.98, standard
deviation of 4.079,
while the pre-test of
control group showed
mean of 15.78,
standard deviation of
3.977 described as
“Fair”. “Very
Satisfactory” as
sustained by the post-
test of experimental
group with a mean of
29.78, standard
deviation of 3.786,
while post-test of
control group showed
a mean of 27.00,
standard deviation of
4.690
Students
using both
virtual
manipulatives
and concrete
manipulatives
had a greatest
increase in
test results.
Students
should be
allowed to
choose
whatever
manipulatives.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
3. Is there a
significant
difference in
the
Achievement
Scores of the
Students
in the
Experimental
and Control
Group?
T-test
The data also
showed that the
control group
means’ score in
pre-test is 15.78
and a mean score
of 27.00 in post-
test, mean
difference of 11.22,
t-stat is equal to
-17.457 and a p-
value of 0.000 with
an analysis of
significant
This imply that
students
improved
achievement
scores in
algebra by
applying a mere
concrete
manipulatives.
Teachers need
to offer their
students
lessons that
are authentic
and
interesting in
order to hold
their attention
as they
attempt to
grasp the
concepts.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
3. Is there a
significant
difference in
the
Achievement
Scores of the
Students
in the
Experimental
and Control
Group?
T-test
The data revealed
that the
experimental group
got a mean score in
pre-test of 15.98
and a mean score
of 29.78 in post-
test, with a mean
difference of 13.80,
t-stat equals
-22.508 and p-
value of 0.000 that
has an analysis of
significant.
It shows that
concrete
manipulatives
with virtual
manipulatives
greatly affect
the
achievement
scores in
algebra of
grade 7.
Mathematics
educators are
encouraged to
incorporate
both concrete
manipulatives
and virtual
manipulatives
in the
mathematics
curriculum.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
4. Is there a
significant
difference in
the
Experimental
Group and
Control
Group’s pre-
test and post-
test?
T-test
The data revealed
that the mean score
of experimental
group was 15.98,
while the mean
score of control
group was 15.78,
with a mean
difference of 0.20,
t-stat which is
-0.229, p-value of
0.820 and an
analysis of “Not
Significant”.
The findings
imply that it
does not
significantly
affect the
achievement
scores in
algebra before
manipulatives
had been used.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
4. Is there a
significant
difference in
the
Experimental
Group and
Control
Group’s pre-
test and post-
test?
T-test
It also showed that
the mean score
post-test of
experimental group
was 29.78, and the
mean score of
control group was
27.00, with a mean
difference of 2.78,
t-stat = 2.526, p-
value = 0.16 and an
analysis of
significant.
The findings
imply that
teaching
algebra using
manipulatives,
affect the
achievements
scores in
algebra of
grade 7.
Schools are
encouraged to
provide
opportunities
for their
teachers to
pursue
ongoing
professional
development
in the area of
both concrete
and virtual
mathematics
manipulatives.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
Does
manipulatives
affect the
achievement
scores of
grade 7?
There is no
significant
effect
between
concrete
manipulativ
es and
virtual
manipulativ
es to the
achievement
scores in
Algebra of
Grade 7.
Students of
Cabuyao
National
High School
– Cabuyao
City,
Laguna.
f-test
It could be
observed from the
data in virtual
manipulatives, f-
value = 17.723, f-
critical value =
3.963, p-value =
0.000 and an
analysis of
significant.
The findings
imply that it
significantly
improved the
achievement
scores in
algebra of
grade 7, using
virtual
manipulatives.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
Does
manipulatives
affect the
achievement
scores of
grade 7?
There is no
significant
effect
between
concrete
manipulativ
es and
virtual
manipulativ
es to the
achievement
scores in
Algebra of
Grade 7.
Students of
Cabuyao
National
High School
– Cabuyao
City,
Laguna.
f-test
The data shown
from concrete
manipulatives, f-
value = 9.045, f-
critical value =
3.963, p-value =
0.000 and an
analysis of
significant.
The findings
imply that it
significantly
improved the
achievement
scores in
algebra of
grade 7, using
concrete
manipulatives.
Collaboration
and follow-up
sessions are
essential for
educators to
achieve
success in
their quest to
provide varied
instruction for
their students.
STATEMENT
OF THE
PROBLEM
HYPOTHESIS STATISTICAL
TOOL
FINDINGS CONCLUSIONS RECOMMEND
ATIONS
Does
manipulatives
affect the
achievement
scores of
grade 7?
There is no
significant
effect
between
concrete
manipulativ
es and
virtual
manipulativ
es to the
achievement
scores in
Algebra of
Grade 7.
Students of
Cabuyao
National
High School
– Cabuyao
City,
Laguna.
f-test
The teacher
should attend
as many
workshop or
training
sessions that
deal with the
manipulatives
as possible, so
that the
students are
familiar and
comfortable
with the
manipualtives.
THANK YOU!!!

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Format for final defense

  • 1. Effect of Manipulatives on Achievement Scores in Algebra of Grade 7. Students of Cabuyao National High School – Cabuyao City, Laguna ROWELA. ELCA
  • 2. Conceptual Framework IV Manipulatives in Teaching Algebra DV Students’ Performance Algebra Concrete Manipulatives Virtual Manipulatives Pre-Test Pre-Test
  • 3. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS 1. What is the mean level of manipulatives in teaching algebra in terms of: 1.1 Concrete Manipulatives weighted mean standard deviation The level of manipulatives in teaching algebra in terms of concrete manipulatives was “Very High” as sustained by the overall weighted mean of 4.68. This imply that when problems in algebra were presented with concrete manipulatives, students understand it well. Students are advised to continue enriching their knowledge in Algebra by using manipulatives because that would help them in the complexities of the advance subjects in Mathematics.
  • 4. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS 1. What is the mean level of manipulatives in teaching algebra in terms of: 1.2 Virtual Manipulatives weighted mean standard deviation The overall weighted mean of 4.55 with verbal interpretation of a “Very High” showed for the level of manipulatives in teaching algebra in terms of virtual manipulatives. Abstract concepts are essential to understanding and doing Mathematics, particularly in Algebra. Virtual manipulatives can also be used to help students link these to its abstract concept. Students are encouraged to use the manipulatives before class sessions. Few more days on familiarizatio n of the manipulatives may have been helpful.
  • 5. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS 2. What is the mean level of students’ achievement scores in Algebra in terms of pre- test and post- test? weighted mean standard deviation Pre-test of experimental group showed mean of 15.98, standard deviation of 4.079, while the pre-test of control group showed mean of 15.78, standard deviation of 3.977 described as “Fair”. “Very Satisfactory” as sustained by the post- test of experimental group with a mean of 29.78, standard deviation of 3.786, while post-test of control group showed a mean of 27.00, standard deviation of 4.690 Students using both virtual manipulatives and concrete manipulatives had a greatest increase in test results. Students should be allowed to choose whatever manipulatives.
  • 6. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS 3. Is there a significant difference in the Achievement Scores of the Students in the Experimental and Control Group? T-test The data also showed that the control group means’ score in pre-test is 15.78 and a mean score of 27.00 in post- test, mean difference of 11.22, t-stat is equal to -17.457 and a p- value of 0.000 with an analysis of significant This imply that students improved achievement scores in algebra by applying a mere concrete manipulatives. Teachers need to offer their students lessons that are authentic and interesting in order to hold their attention as they attempt to grasp the concepts.
  • 7. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS 3. Is there a significant difference in the Achievement Scores of the Students in the Experimental and Control Group? T-test The data revealed that the experimental group got a mean score in pre-test of 15.98 and a mean score of 29.78 in post- test, with a mean difference of 13.80, t-stat equals -22.508 and p- value of 0.000 that has an analysis of significant. It shows that concrete manipulatives with virtual manipulatives greatly affect the achievement scores in algebra of grade 7. Mathematics educators are encouraged to incorporate both concrete manipulatives and virtual manipulatives in the mathematics curriculum.
  • 8. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS 4. Is there a significant difference in the Experimental Group and Control Group’s pre- test and post- test? T-test The data revealed that the mean score of experimental group was 15.98, while the mean score of control group was 15.78, with a mean difference of 0.20, t-stat which is -0.229, p-value of 0.820 and an analysis of “Not Significant”. The findings imply that it does not significantly affect the achievement scores in algebra before manipulatives had been used.
  • 9. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS 4. Is there a significant difference in the Experimental Group and Control Group’s pre- test and post- test? T-test It also showed that the mean score post-test of experimental group was 29.78, and the mean score of control group was 27.00, with a mean difference of 2.78, t-stat = 2.526, p- value = 0.16 and an analysis of significant. The findings imply that teaching algebra using manipulatives, affect the achievements scores in algebra of grade 7. Schools are encouraged to provide opportunities for their teachers to pursue ongoing professional development in the area of both concrete and virtual mathematics manipulatives.
  • 10. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS Does manipulatives affect the achievement scores of grade 7? There is no significant effect between concrete manipulativ es and virtual manipulativ es to the achievement scores in Algebra of Grade 7. Students of Cabuyao National High School – Cabuyao City, Laguna. f-test It could be observed from the data in virtual manipulatives, f- value = 17.723, f- critical value = 3.963, p-value = 0.000 and an analysis of significant. The findings imply that it significantly improved the achievement scores in algebra of grade 7, using virtual manipulatives.
  • 11. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS Does manipulatives affect the achievement scores of grade 7? There is no significant effect between concrete manipulativ es and virtual manipulativ es to the achievement scores in Algebra of Grade 7. Students of Cabuyao National High School – Cabuyao City, Laguna. f-test The data shown from concrete manipulatives, f- value = 9.045, f- critical value = 3.963, p-value = 0.000 and an analysis of significant. The findings imply that it significantly improved the achievement scores in algebra of grade 7, using concrete manipulatives. Collaboration and follow-up sessions are essential for educators to achieve success in their quest to provide varied instruction for their students.
  • 12. STATEMENT OF THE PROBLEM HYPOTHESIS STATISTICAL TOOL FINDINGS CONCLUSIONS RECOMMEND ATIONS Does manipulatives affect the achievement scores of grade 7? There is no significant effect between concrete manipulativ es and virtual manipulativ es to the achievement scores in Algebra of Grade 7. Students of Cabuyao National High School – Cabuyao City, Laguna. f-test The teacher should attend as many workshop or training sessions that deal with the manipulatives as possible, so that the students are familiar and comfortable with the manipualtives.