Professional Documents
Culture Documents
ISSN No:-2456-2165
Most schools implement blended learning modality to deliver quality education amidst the
COVID-19 pandemic. This study determined the attitudes and performance in Trigonometry using
blended learning among college students in Biliran Province State University, school year 2021-2022
amidst COVID-19 pandemic as basis for an action plan. It employed a descriptive-correlational
research design to gather data regarding the attitudes and performance of the 34 freshman college
Education students who are enrolled in Trigonometry. They responded to two adopted research
questionnaires the Fennema-Sherman Attitudine Scale and the Trigonometry Proficiency Test. The
collected data were treated using frequency, simple percentage, rank, weighted mean, standard
deviation, Chi-square test of independence, and ANOVA. The findings revealed that students are less
proficient in Trigonometry test using blended learning approach despite of their positive attitudes in
Trigonometry. Also, the study shows that age and gender of the students do not have relationships
with their attitudes and performance in Trigonometry. The study concluded that students need to
improve their learning in the subject for these are prerequisites in higher mathematics.The researcher
recommends that the action plan should be implemented, monitored and evaluated to improve the
performance of students in Trigonometry.
CHAPTER 1
From 2020, cities and municipalities will move forward with the new normal of digitizing
information and teaching styles to accommodate social distancing and health protocols. Students
were assigned modules and online classes to amend the mandated learning form, blended learning,
during COVID-19. The modules consist of different subjects the students are enrolled in, while the
online classes are used as partial participation virtually to ensure that the module is followed through.
More or less, the involvement of the students requires their full attention because, more often than
not, they are left to study the lessons independently after the online classes. Despite the efforts of the
teachers to fill the gaps, the students are still having a hard time coping with the learning method
introduced by government protocols.
Without attending physical school, students were still able to learn from their classes through
online mentoring and modular learning. E-classes in the new normal are held by teachers and staff in
compliance with quarantine protocols by the Inter-Agency Task Force (IATF) to continue school far
from the actual place of teaching and studying. In essence, this is called blended learning, which is
combined modular instruction and online learning. The use of self-learning modules in teaching is
part of the modular approach. A module is a collection of educational activities structured around a
well-defined subject. It includes elements such as symmetrical narration, classification objectives,
enriching cognitive actions, and international criterion-referenced measurements for evaluation. The
purposes of a module are clearly articulated, preferably in experiential form. Further, online learning
is a type of education in which students learn from the comfort of their homes via their personal
computers.
In the teaching and learning of Trigonometry, students encounter problems that are difficult to
solve in face-to-face learning. They may lack interest, motivation, and a positive attitude, and some
are not meant to specialize in it, so they pay little or no attention to understanding Trigonometry
concepts. As a result, a blended learning approach can boost students' interest and positivity. Blended
learning encourages active learning and interaction between students and the learning environment's
mediator. Also, using blended learning helps diversify the instructional delivery in Trigonometry.
Attitudes toward learning Trigonometry are essential to consider for college students. Their
negative attitudes toward Trigonometry may affect their performance in the subject using blended
learning.
As observed by the researcher as a teacher in Trigonometry, learning the subject using blended
learning seems difficult for students. Learning Trigonometry was hinted at as inefficient because of
students' attitudes toward Trigonometry. Cognitive issues of students make the matter worse because
of vague learning content, overloaded lessons, and a poor learning environment. The overall attitude
of students was regressing their interest because of too many nuisances accompanied by the learning
modality. This includes unpreparedness and the incapacity to understand the lesson.
b) Theoretical Background
This research is based on Kolb’s Experiential Learning Theory (1984), Social Learning Theory by
Albert Bandura (1977), and Constructivism Theory by Jerome Bruner (1960). Furthermore, this
study is supported by the following legal bases: R.A. 9155 [Governance of Basic Education Act of
2001], DepEd Order No. 21, series 2019 [Policy Guidelines on the K to 12 Basic Education
Program], and DepEd Order No. 1, series 2021 [Policy on the Evaluation of SLMs for Quarter 3 and
4 for Quarters 3 and 4, the School Year 2020-2021].
David Kolb's Theory of Experiential Learning is one of the humanistic and constructivist
approaches to education that emphasizes natural learning as it emphasizes learning through reflection
on doing (Gadola& Chindamo, 2019). Kolb proposed that experience was critical in developing
knowledge construction, as learning occurs through discovery and active participation (Morris, 2020;
Ng et al., 2019).
Kolb's Experiential Learning Theory is divided into two parts. The first is that learning occurs in
four stages. Kolb believed that, in an ideal world, learners would progress through the process stages
due to their transformation and experiences into knowledge (McLeod, 2017). The second section of
Kolb's Theory concentrated on learning styles, or cognitive processes for acquiring knowledge
through a learning cycle (Yusofet al., 2020). Kolb believed that individuals could learn effectively
and better by reflecting upon previous experiences and creating an improved and better experience
(Idris et al., 2020).
Completing all stages of the cycle allows the transformation of experience into knowledge.
Kolb's entire theory is based on the process by which knowledge is created through experience
transformation (Pamungkas et al., 2019). Given Kob’s cycle, students cannot learn by simply
watching or reading something but through engagement (Widiastuti&Budiyanto, 2018). Students
should ideally be able to progress through each stage.
Action Plan
Kolb's theory revolves around experiences, which he saw as a process by which something must be
changed or transformed (Nhung et al., 2022). Memorization or recollection of ideas taught is not the same as
learning because no value is added to the learner. To be defined as learning, something must be generated
from experience, according to Kolb's model (Chiu 2019).
Albert Bandura's Social Learning Theory emphasizes the relevance of observing, modeling, and
imitating behaviors, attitudes, and emotional reactions (Rumjaun&Narod, 2020). Social learning theory
considers the experiences we get from others or from the environment through observation (Yilmaz et al.,
2019). Albert Bandura (1977) agrees with the behaviorist learning theories of classical conditioning and
operant conditioning in social learning theory.
Learning is a relatively lasting change in behavior resulting from experience (Cherry 2022). As most
parents are probably very much aware, observation can play a critical role in determining how and what
children learn. As the saying goes, kids are like sponges, soaking up their daily experiences. Albert Bandura
posited a social learning theory in which observation and modeling are central to the process.
Bandura's theory moves beyond behavioral theories, which suggest that all behaviors are learned
through conditioning, and cognitive theories, which consider psychological influences such as attention and
memory (Bandura, 2021).
Constructivist Theory by Jerome Bruner in 1960, where students actively build their knowledge based
on relevant experiences, so the new knowledge comes as the old ones are the foundation. Students can
discover and explore learning; prior knowledge is essential to learning (Heo et al., 2018; Kang et al., 2017).
Constructivism has been a compelling model for explaining how knowledge is produced globally and how
students learn (Shah, 2019). In MDL, understanding the module starts with the students.
Following its legal mandate, DepEd has promulgated flexible learning and materials issuances,
specifically, DepEd Order No 21, series 2019, or the Policy Guidelines on the K-to-12 Basic Education
Program. It sets forth flexible learning options [FLOs], including alternative delivery modes and related
learning resources responsive to learners' needs, context, circumstances, and diversity. These policy
guidelines aim to establish the standards and specifications for providing learning resources in implementing
the BE-LCP. The learning resources serve as learning toolkits for learners, containing procedures,
instructions, and other details to aid the learning process under the supervision of responsible adults and
teachers who provide continuous monitoring and guidance.
Republic Act No. 9155, also known as the Governance of Basic Education Act of 2001, stipulatedthe
governance of basic education that must start at the national level. It is a mission to give quality basic
education to all Filipinos, making education accessible to all. In Section 6, DepEd has the authority,
accountability, and responsibility to ensure access to, promote equity in, and improve the quality of basic
education, which must continue even during COVID-19. This is the basis of creating the Basic Education
Learning Continuity Plan [BE-LCP].
To ensure the quality of SLMs being used in the MDL modality, DepEd issued guidelines on evaluating
SLMs, particularly those used by students in the coming grading periods. DepEd Order No. 1 series 2021
issued policy guidelines on evaluating SLMs for Quarters 3 and 4 for the school year 2020-2021. SLM has
become a supplemental means of learning in new normal education (Bacomo et al., 2022). The primary
learning resource for MDL is the present educational setup.
According to Ackbarov and Aydogan (2018), blended learning serves students' educational needs by
improving student satisfaction, increasing choice and ease, acquiring and improving language skills, and
improving critical thinking.
According to them, pupils are satisfied with blended learning and appreciate this innovative form of
teaching. Students with a positive attitude toward learning and are highly motivated to learn also have a
positive attitude toward online learning in blended courses. In general, using the blended learning
methodology to teach Trigonometry extensively influences pupils' perceptions of the subject.
The rapid spread of COVID-19 has sparked worldwide concern. The government announced the closure
of educational institutions as a precautionary measure to combat this outbreak (Libasin et al., 2021).
Universities have the mission of promoting social, cultural, and economic development. Adopting flexible
learning pathways strategies has been essential to facilitate students' access and creating an inclusive
learning environment (Rey-Naizaque, 2021).
According to the Aksan (2021) study, students' perceptions agreed on using the modular distance
learning approach (MDLA). It means that the students had favorable views of MDLA in mathematics. The
study also found that students who agreed to use the modular distance learning approach (MDLA) in math
faced a few difficulties. It also positively affected students' performance; students performed very
satisfactorily in Mathematics, which means they had a good quality performance. However, when the
students were grouped by gender and age, there was no significant difference in their perceptions, indicating
that they all had the same perceptions.
The study of Fadillah et al. (2020) concluded that students' average level of mathematical disposition
was classified as moderate. Only the monitor and evaluate indicators are classified as a high category if seen
from the indicators. Indicators of persistence and perseverance, especially when lecturers present interesting
contextual problems.
COVID-19 forced universities to improvise and adopt online learning and teaching rapidly. Minor
changes to teaching design and delivery are required for effective teaching continuously. This is an
ambidextrous approach to education in which teachers concentrate on the immediate co-creation of student
experiences and identify cues used to adjust how they interact with a student cohort throughout a module.
Module evaluation evolves into a continuous process in which changes are made in real-time, and
subsequent student-learning encounters are observed (Thomas & Bryson, 2021).
Wang et al. (2021) examined the relationships between the role of the instructor and university
students’ learning outcomes in cloud-based classrooms during the COVID-19 pandemic. The study revealed
that the students' perceived learning outcomes and satisfaction were positively related to instructor
innovation and negatively related to instructor performance. Instructional support was positively associated
with the students' perceived learning outcomes but not directly related to their learning satisfaction. The
student's academic self-efficacy mediated the influence of instructional support and instructor innovation on
their perceived learning outcomes and satisfaction. The results contribute to instructors' role in facilitating
students' learning outcomes in higher education and suggest ways to improve the learning environment and
outcomes, especially in cloud-based virtual classrooms.
The COVID-19 pandemic has affected many countries, causing school closures and a shift from face-
to-face and online learning methods. Yohannes et al. (2021) discovered that several factors, including
students, teachers, the school, curriculum, and parents, contributed to teachers' difficulties in implementing
online learning. Students and teachers posed significant challenges. As a result, it was critical to consider
suggestions and efforts to overcome teachers' challenges in implementing online learning. Coordination and
collaboration among the government, schools, teachers, students, and parents are critical to the success of
online learning.
Blended learning using Desmos alongside platforms such as Zoom can successfully engage students in
the learning experience due to its facility to give students and teachers instant feedback about the learning
taking place, which is developmental for the students. However, suppose blended learning is to be
successfully used in this way. In that case, it is vital that students can study in an appropriate environment
and that they have access to the right technology. If blended learning takes place in a classroom setting, this
will mean that there needs to be enough computers/laptops/tablets for each student (Lethbridge et al., 2021).
There is a need to develop practical online learning courses or programs that promote critical thinking
as a crucial competence of higher education. The study of Varenina et al. (2021) shows a correlation
between preferred learning styles and levels of critical thinking, which must be considered when developing
the online learning curriculum and lesson plans. The study results will enable students to organize their
learning better. Teachers can use this information to optimize the course design.
Recent research has focused on understanding teachers' and students' perceptions of online teaching and
learning. The debate over the efficacy of online learning and its future potential continues as the COVID-19
outbreak has made it the best available option under social distancing and quarantine policies. The findings
show the similarities and differences between the two groups regarding the factors influencing online
teaching and learning satisfaction (Lei & So, 2021).
The COVID-19 pandemic has demonstrated the need for tools and methodologies to support students'
autonomous learning and formative assessment practices in distance education contexts, particularly among
students from disadvantaged backgrounds.
According to Barana et al. (2021), feedback is more effective than other activities in engaging learners
in actions to improve their results, and the effects are more substantial in low socioeconomic contexts.
Students become more confident in learning trigonometry and find valuable trigonometry in their daily
lives. Attributes such as performing problem-solving skills and acquiring a positive attitude toward
mathematics could help achieve the mathematics curriculum's aspiration and address the poor performance
in Trigonometry questions. Therefore, the critical role of the teacher is to explain different concepts to the
students and ensure that they understand the material being presented ( Manman&Surajo, 2021).
The results demonstrate that willingness, perseverance, and self-confidence in solving mathematical
problems are essential to ensure outstanding performance.Ngussa and Mbuti (2017) found that enhancing
students’ positive attitudes can boost students’ performance in mathematics.The student's accomplishment in
problem-solving depends on her interest, attitude, and self-confidence. It was discovered that accounting
students lack confidence in solving trigonometric problems compared to life and physical science students.
Therefore, lecturers need to take reasonable measures to enhance students' self-confidence.
Holmes (2020) examined the relationship between the attitudes and components of the student's
attitudes toward math with their mathematics achievements. There were weak relationships between
trigonometric achievement and the five elements of perspectives, including the attitude in trigonometry. The
contribution of all components of attitude in trigonometry collectively significantly affected (but low)
students' achievement in trigonometry. The gift of confidence was significant in the variable trigonometry
achievement, but the other components' usefulness, Enjoyment, the subject is perceived as a male domain,
Cortez(2020) examined the perception of the students on blended, distance, electronic and virtual
learning. The result indicates that the subjects’perception effectivity of online learning and their capability to
attend the e-learning sessions is independent of their life style and available e-learning tools despite the
result analysis of variance showing that their perceived mathematical capability is significantly different.
Despite teachers' best efforts, students develop trigonometry misconceptions. Furthermore, students'
attitudes toward mathematical lesson inquiry improved significantly. Even though enjoyment of
mathematics lessons remained high, it did not change. Also, for teachers to create a practical learning
experience, they should be aware of and acknowledge students’ prior knowledge acquired from academic
settings and everyday personal experiences. In order to reduce or eliminate some of the difficulties and
encourage knowledge retention in learning Trigonometry, the use of an appropriate method/strategy that
involves students’ active participation in the learning process is paramount.
With all these, this study intends to see students'attitudes toward Trigonometry and their performance in
Trigonometry during the school year 2021-2022 using the bended learning amidst the COVID-19 pandemic.
B. THE PROBLEM
a) Statement of the Problem
This research determined the attitudes and performance in Trigonometry using blended learning
among college students in Biliran Province State University during the school year 2021-2022
amidst the COVID-19 pandemic as the basis for an action plan.
Specifically, it sought answers to the following questions:
C. RESEARCH METHODOLOGY
This part presents the methods used in this study, particularly the research design, research environment,
research respondents, research instrument, data gathering procedure, statistical treatment of data, and data
scoring.
a) Design
This study employed a descriptive correlational study by analyzing quantifiable data gathered using a
population survey. A descriptive correlational research design is a method in which the researcher is
particularly interested in documenting naturally occurring connections between variables. The
study's primary goal is to obtain an overview of the current situation and evaluate the relationships
among two or more variables.
The profile of the respondents, such as their age and gender, their level of attitudes toward
Trigonometry, includes Confidence in Learning, Attitudes Towards Success, Mathematics as a Male
Domain, and Usefulness, and their performance in Trigonometry using the blended learning
approach are the inputs of the study.
IN P U T PROCESS O U TP U T
Descriptive
Correlational Method
Gathering of Data
Submission of
transmittal letter
Administration of
attitudinal scale
toward
Trigonometry
1. Profile of the Conduct of
respondents performance in
Trigonometry to
2. Level of attitudes respondents
toward Trigonometry
of the respondents Tabulation of Data Action Plan
Encoding of Data
3. Performance in into the Data
Trigonometry of the Matrix
respondents Conducting Data
Hygiene
4. Test of Significant
Relationship Analysis of Data
Treatment using
5. Test of Significant Minitab statistical
Difference software
Interpretation of Data
Using a blended learning approach, an action plan was drafted to improve the student's performance in
Trigonometry.
c) Environment
This study was conducted at Biliran Province State University (BiPSU), founded in 1965. It is a non-
profit public higher education institution located in the small city of Biliran, Eastern Visayas. In
Biliran, this institution has a branch campus.
BiPSU is a result of the elevation or conversion of the Naval State University, formerly Naval
Institute of Technology, under No. 11170 of the Republic Act. The aforementioned legislative bill
results from the academic community's and the Biliranons' collective efforts, unending prayers, and
noble dreams.
On October 30, 1945, the late Acting Mayor Pablo Caneja signed Municipal Resolution No. 35,
establishing an intermediate public high school in Naval, a municipality in the Philippines' Biliran
province.
The Naval High School was founded in 1946 and functioned from 1946 to 1947. After decades of
operation, late Congressman Marcelino Veloso introduced a bill signed into law on June 19, 1965,
transforming Naval High School into a chartered state college under Republic Act 4309.
Biliran Province State University (BiPSU) offers courses and programs leading to officially recognized
higher education degrees such as bachelor's, master's, and doctorate degrees in various fields of study. Its
mission is to provide academic degrees, higher technological, specialized education, and training in arts and
sciences, agriculture, fishing, forestry, maritime education, information & communication technology,
engineering, tourism, and other related disciplines. It is also required to perform research, provide
institutional capacity, and give contemporary management in its areas of expertise. In the town of Biliran,
Biliran runs an extension campus (BiPSU FB, 2022).
d) Respondents
The respondents were 34 freshmen Bachelor in Secondary Education students majoring in
Mathematics. Using Blended Learning, they are enrolled in Trigonometry during the second
semester of the school year 2021-2022. Since participants are selected depending on their
availability, willingness, and eligibility to engage in the study, the researcher applied non-probability
convenience sampling.
e) Instruments
This study employed two sets of questionnaires to collect quantitative data from Bachelor of
Secondary Education students enrolled in Trigonometry.
The first instrument contains two parts. Part 1 gathers the respondents' profiles, including their
age and gender. Part 2 gathers the respondents' attitudes in Trigonometry using a standardized
instrument such as the Fennema-Sherman Mathematics Attitude Scales. This part has four areas: a)
Confidence in Learning, b) Attitudes Towards Success, c) Mathematics as a Male Domain and d)
Usefulness. In this section, the respondents answered using the 4-Likert scale: 4 points for Strongly
Agree, 3 points for Agree, 2 points for Disagree, and 1 point for Strongly Disagree. The respondents
were advised to put a checkmark corresponding to their feelings about the items on the attitudinal
scale.
The second instrument is a standardized Trigonometry Proficiency Test to measure the student's
performance in Trigonometry. It has a 40-item multiple-choice type of test. The students were
advised to choose their answers by encircling the letter of their choice.
This research has ethical implications for addressing and promoting the search for knowledge and truth
by preventing data fabrication or falsification. To avoid such hazards, the participants in this study are
informed of everything they need to know about the study's purpose, duration, and process. It is entirely up
to you whether or not you choose to participate in this study. The participants will not be forced to
participate in the study if they do not want to. If, for any reason, participants choose to withdraw from the
investigation once it has begun, they may do so without being questioned. There will be no pressure on the
participants to continue. There will be no negative consequences if you decline or withdraw from the study.
Throughout the survey procedures, the researcher complied with the ethical research considerations.
Before responding to the computerized questionnaire, the researcher obtained informed consent from the
respondents. The researcher kept the respondents' sensitive information and identities protected.
The researcher followed ethical research guidelines throughout the survey methods. The respondents
gave their informed consent to the researchers before responding to the computerized questionnaire. The
researcher kept all of the respondents' personal information and identities safe.
To treat the gathered data on the profile of the respondents, frequency, simple percentage, mean,
and standard deviation were used.
To treat the gathered data on the level of attitudes toward Trigonometry of the respondents,
weighted mean and standard deviation were used.
To treat the gathered data on the respondents' level of performance in Trigonometry, frequency,
simple percentage, mean, and standard deviation were used.
On the test of the significant relationship between the profile of the respondents and their level
of attitudes and performance in Trigonometry, the Chi-square test of independence was used.
ANOVA tested the significant differences in attitudes toward Trigonometry and its level of
performance in Trigonometry when grouped by its profile.
4 3.25 - 4.00 Very Positive The respondents strongly agree with the statements.
1 1.00 - 1.74 Very Negative The respondents strongly disagree with the statements.
The following with parametric scaling was used to determine students' performance in Trigonometry.
31 - 39 Very Proficient 76% to 90% of the test the student has answered correctly.
21 - 30 Proficient 51% to 75% of the test the student has answered correctly.
11 - 20 Less Proficient 26% to 50% of the test the student has answered correctly.
D. DEFINITION OF TERMS
The following terms are operationally and conceptually defined.
Attitudes Toward Trigonometry. This study refers to students' behavior in learning Trigonometry,
which includes the students’ Confidence in Learning, Attitude Towards Success, Mathematics as a
Male Domain, and Usefulness in Trigonometry.
Basic Education Learning Continuity Plan. This refers to activities to ensure students' learning
progress amidst natural calamities, storms, fires, and pandemics.
Blended Learning. This is a learning method that combines face-to-face teaching and online
instruction--ideally leveraging the strengths of each.
Covid-19 Pandemic. An infectious disease caused by the SARS-CoV-2 virus that brought lockdown
and health protocols closing HEIs.
Learning Activity Sheet. This provides information and instruction, the method for engaging in
activities, and links to publications and independent media to better the educational landscape.
Performance in Trigonometry. This study refers to scores the students earned in Trigonometry
deemed necessary to them in learning the subject despite the pandemic. It includes polynomials,
expressions, equations, and the like.
Profile of the Respondents. This refers to the age and gender of the college students enrolled in
Trigonometry classes.
Self-Learning Modules (SLMs). In this study, teachers developed materials to improve students'
learning in Trigonometry.
Trigonometry. This study refers to the subject enrolled by college students at Biliran Province State
University. It includes the characters and other fundamental symbols used to represent parameters and
variables in equations and calculations in this branch of mathematics.
CHAPTER 2
Gender
Male 11 32.40 2
Female 23 67.60 1
Table 1: Profile of the Respondents
As depicted inTable 1, in terms of the age profile of the students, it can be gleaned that most
respondents are 19 to 20 years old (58.82%). This is followed by 17 to 18 years old and 21 to 22 years old
with six respondents (17.65%). Also, the table revealed 23 female and 11 male respondents in the study.
Table 2 shows that the overall mean for the level of confidence in learning was 2.69 (Positive), with a
standard deviation of 0.60. This indicates that the student's acceptance of the confidence in learning about
trigonometry was viewed favorably.
Also, the table shows that the indicator, “I am sure that I can learn Trigonometry," got the highest mean
of 3.32 (Very Positive) with a standard deviation of 0.47. While the indicator, “Trigonometry has been my
worst subject," got the lowest mean of 1.91 (Negative) with a standard deviation of 0.57.
This implies to the study that their confidence level is affected by their security in attempting
Trigonometry, which entails that because they agree that they are secure, they are more confident in their
learning of Trigonometry. Due to this, they also agree that they are sure they could do advanced work in
Trigonometry.
It is seen that they are confident because of their answers that they can handle difficult work in
Trigonometry, and they will get good grades in Trigonometry, accentuating their agreement on self-
confidence in Trigonometry. This is strengthened when they disagree with the idea that they are bad at
Trigonometry. However, the students are also honest, stating they agree with the concept that they cannot
handle advanced Trigonometry because it seems unusually hard for them.
(N = 34)
Weighted Verbal
Indicators StDev
Mean Interpretation
1. It would make me happy to be recognized as an excellent 3.29 0.52 Very Positive
student in Trigonometry.
2. I would be proud to be an outstanding student in 3.50 0.51 Very Positive
Trigonometry.
3. I would be happy to get top grades in Trigonometry. 3.53 0.56 Very Positive
4. It would be really great to win a prize in Trigonometry. 3.29 0.52 Very Positive
5. Being first in a Trigonometry competition would make 3.06 0.42 Positive
me pleased.
6. Being regarded as smart in Trigonometry would be a 3.29 0.52 Very Positive
great thing.
7. Winning a prize in mathematics would make me feel 2.41 0.56 Negative
unpleasantly conspicuous.
8. People would think that I was some kind of creep if I got 2.21 0.54 Negative
A's in Trigonometry.
9. If I got the highest grade in Trigonometry, I would try to 2.21 0.77 Negative
hide it.
10. If I got the highest grade in math, I would prefer that no 2.27 0.79 Negative
one knew.
11. It would make people like me less if I were a really good 2.15 0.66 Negative
Trigonometry student.
12. I do not like people to think I am smart in Trigonometry. 2.50 0.79 Positive
Overall Mean 2.81 0.60 Positive
Table 3: Attitudes Towards Success of the Respondents
Range: 1.00-1.74 Very Negative; 1.75-2.49 Negative; 2.50-3.24 Positive; 3.25-4.00 Very Positive
Table 3 shows that the overall mean for the level of attitudes toward success was 2.81 (Positive), with a
standard deviation of 0.60. This implies understanding how certain different but interrelated variables such
as background, motivation, and social support could explain student attitudes towards Trigonometry and an
understanding of the defining characteristics of these attitudes in the blended learning approach.
Also, the table shows that the indicator, “I would be happy to get top grades in Trigonometry," got the
highest mean of 3.53 (Very Positive) with a standard deviation of 0.56. While the indicator, “It would make
people like me less if I were a really good Trigonometry student," got the lowest mean of 2.15 (Negative)
with a standard deviation of 0.66.
This implies that attitudes toward success rely on Trigonometry among the respondents. Winning in
Trigonometric competitions and having high grades in Trigonometry make them a person who is happy that
they won and have subjects like Trigonometry. This entails that they disagree that having high grades in
Trigonometry makes you creep. The respondents also frown on being shy or not letting anyone know that
they have high grades in Trigonometry. This means that attitudes towards success are affected positively by
Trigonometry.
(N = 34)
Weighted Verbal
Indicators StDev
Mean Interpretation
1. Females are as good as males in Trigonometry. 2.97 0.90 Positive
2. Studying Trigonometry is just as appropriate for women as 2.94 0.89 Positive
for men.
3. I would trust a woman just as much as I would trust a man 3.24 0.74 Positive
to figure out important calculations.
4. Girls can do just as well as boys in Trigonometry. 3.41 0.74 Very Positive
5. Males are not naturally better than females in Trigonometry. 2.24 0.65 Negative
6. Women certainly are logical enough to do well in 2.62 0.82 Positive
Trigonometry.
7. It is hard to believe a female could be a genius in 2.06 0.78 Negative
Trigonometry.
8. When a woman has to solve a Trigonometry problem, it is 2.27 0.71 Negative
feminine to ask a man for help.
9. I would have more faith in an answer to a Trigonometry 2.00 0.70 Negative
problem solved by a man than a woman.
10. Girls who enjoy studying Trigonometry are a bit peculiar. 2.29 0.80 Negative
11. Trigonometry is for men. Arithmetic is for women. 1.88 0.64 Negative
12. I would expect a woman mathematician to be a masculine 1.97 0.58 Negative
type of person.
Overall Mean 2.49 0.75 Negative
Table 4: Mathematics as a Male Domain
Range: 1.00-1.74 Very Negative; 1.75-2.49 Negative; 2.50-3.24 Positive; 3.25-4.00 Very Positive
Table 4 shows that the overall mean for the level of mathematics as a male domain was 2.49 (Negative)
with a standard deviation of 0.75. This implies that students tended not to stereotype mathematics as a male
domain, but to the extent of stereotyping, males were stereotyped more than females. There have been
changes in social attitudes about females and mathematics, but the issue of gender equity in mathematics
continues.
Also, the table shows that the indicator, “Girls can do just as well as boys in Trigonometry," got the
highest mean of 3.41 (Very Positive) with a standard deviation of 0.74. While the indicator, “Trigonometry
is for men. Arithmetic is for women," got the lowest mean of 1.88 (Negative) with a standard deviation of
0.64.
This implies to the study that males and females have an equal capacity to perform in Trigonometry and
that male dominance in Trigonometry is not persisting. The respondents agreed that females are as good as
males in Trigonometry. The respondents have a boosted confidence that Females can be trusted for
calculations and that Trigonometry can be studied as appropriate by females, the same as males. This entails
that females are logical beings like males who can handle Trigonometry. This resulted in a disagreement that
Males are better than females when it comes to Trigonometry or that females are not logical enough to
Students who were able to solve problems with procedural skills will still be able to obtain good marks
in the examinations, although they may have a weak conceptual understanding of trigonometry. The
students, for sure, may obtain excellent marks for the examinations, but the knowledge retained may be
short-term.
The study byZamora et al,. (2019) found that may be taken as evidence because when students
obtained good marks after they had learned the lesson recently and produced unsatisfactory marks.
d) Usefulness of Trigonometry
Table 5 presents the usefulness of mathematics concerning respondents.
(N = 34)
Weighted Verbal
Indicators StDev
Mean Interpretation
1. I will need Trigonometry for my future work. 3.03 0.67 Positive
2. I study Trigonometry because I know how useful it is. 3.03 0.63 Positive
3. Knowing Trigonometry will help me earn a living. 2.85 0.74 Positive
4. Trigonometry is a worthwhile and necessary subject. 3.03 0.72 Positive
5. I will need a firm mastery of Trigonometry for my future work. 2.85 0.78 Positive
6. I will use Trigonometry in many ways as an adult. 2.82 0.67 Positive
7. Trigonometry is of no relevance to my life. 2.06 0.60 Negative
8. Trigonometry will not be important to me in my life's work. 2.09 0.57 Negative
9. I see Trigonometry as a subject I will rarely use in my daily life 2.41 0.70 Negative
as an adult.
10. Taking Trigonometry is a waste of time. 1.91 0.62 Negative
11. In terms of my adult life, it is not important for me to do well in 2.00 0.70 Negative
Trigonometry in high school.
12. I expect little use for Trigonometry when I get out of school. 2.62 0.70 Positive
Overall Mean 2.56 0.68 Positive
Table 5: The Usefulness of Trigonometry as Perceived by the Respondents
Range: 1.00-1.74 Very Negative; 1.75-2.49 Negative; 2.50-3.24 Positive; 3.25-4.00 Very Positive
Table 5 shows that the overall mean for the use of Trigonometry was 2.56 (Positive) with a standard
deviation of 0.68. This means that great trigonometry skills allow students to work out complex angles and
dimensions in relatively little time. In architecture, engineering, and many sciences, trigonometry is one of
the most valuable branches of mathematics.
Also, the table shows that the indicators "I will need Trigonometry for my future work," "I study
Trigonometry because I know how useful it is," and "Trigonometry is a worthwhile and necessary subject”
got the highest mean of 3.03 (Positive) with a standard deviation of 0.67, 0.63, and 0.72 respectively. While
the indicator, “Taking Trigonometry is a waste of time," got the lowest mean of 1.91 (Negative) with a
standard deviation of 0.62.
This implies the study that Trigonometry is very useful to the respondents. They certainly agree that
they will need Trigonometry for their future work because they know how useful it is to make or help them
earn a living. However, they need complete mastery of Trigonometry before it entirely affects their life.
Trigonometry instruction guides students to improve their capacity for deductive logic and representing
abstract issues. Surveying, navigation, engineering, and other fields of mathematics all heavily rely on
trigonometric concepts.
(N = 34)
Indicators Weighted Mean StDev Verbal Interpretation
A. Confidence in Learning 2.69 0.60 Positive
B. Attitudes Towards Success 2.81 0.60 Positive
C. Mathematics as a Male Domain 2.49 0.75 Negative
D. The Usefulness of Mathematics 2.56 0.68 Positive
Overall Mean 2.64 0.66 Positive
Table 6: Summary of the Level of Attitudes Towards Trigonometry
Range: 1.00-1.74 Very Negative; 1.75-2.49 Negative; 2.50-3.24 Positive; 3.25-4.00 Very Positive
Table 6 shows that the overall mean for the respondents’ attitudes towards Trigonometry was 2.64
(Positive) with a standard deviation of 0.66.
Also, the table shows that the Attitudes Towards Success got the highest mean of 2.81 (Positive) with a
standard deviation of 0.60. At the same time, Mathematics as a Male Domain got the lowest mean of 2.49
(Negative) with a standard deviation of 0.75.
This implies that Trigonometry influences the students' confidence level as they are more confident
when they understand Trigonometry and less confidence when their knowledge of Trigonometry is not well
accentuated.
Moreover, attitudes toward success can be visible when Trigonometry is present in the curriculum,
which students equate to their success as a focal factor. However, they pointed out or revealed that the
subject is more male-dominant than that of the other sex. Nonetheless, the overall usefulness of Mathematics
is appreciated by the students. Thus, the general population agrees with all the indicators because of their
application to their academic performance.
The table shows that there were 30 respondents (88.24%) who got a raw score in Trigonometry between
11 to 20 (Less Proficient) and four respondents (11.76%) got a raw score of 10 and less than. Also, it is
revealed that students got the highest raw score of 17 and the lowest score of 6. The performance test
recorded an average raw score of 13.27 with a standard deviation of 2.67.
From the result, it can be implied that there is an improved performance among the learners after they
were exposed to the learning. Hence it further implies that the effectivity is on the positive rate and
reference.
This is parallel to the study of Hidayati (2020),which showcases that errors in learning entail that there
is little exposure to solving Trigonometry, but when they are given a chance to engage more in
Trigonometry, their performance improves and becomes better.
The study of Indrapangastuti et al., (2021) concluded that blended learning is more effective for
improving students’ achievement of mathematics concepts. The blended learning model is an alternative
learning model to improve students’ achievement of mathematical concepts. This blended learning model is
based on the belief that students can best develop their thinking skills through problem-based learning with
various sources of information, including face-to-face, online, and practical activities.
B. Gender
a. Attitudes Towards 0.157 1 3.841 Not Significant Accept Ho
Trigonometry
b. Performance in 0.112 1 3.841 Not Significant Accept Ho
Trigonometry
Table 8: Significant Relationship Between the Respondent Profile and Attitudes and Performance in
Trigonometry
B. Performance Trigonometry
Age 1.86 0.119 Not Significant Accept Ho
Gender 0.45 0.508 Not Significant Accept Ho
The table shows that the attitudes and performance in Trigonometry, when grouped by their profiles, do
not have significant differences. The computed p-values are significantly higher than 0.05. This means that
students' attitudes and performances in Trigonometry do not differ.
Students' learning and performance in mathematics is affected by several factors, including students'
attitude. The results revealed that, in general, both female and male students held positive attitudes toward
mathematics, and there was no significant difference in attitudes between genders toward mathematics
(Anokye-Poku&Ampadu, 2020).
CHAPTER 3
A. SUMMARY
This study determined the attitudes and performance of college students in Trigonometry using blended
learning at Biliran Province State University during the school year 2022-2023 amidst the COVID-19
pandemic.
It employed a descriptive correlational study to gather data regarding the attitudes and performance of
34 freshman college education students who major in mathematics and are enrolled in Trigonometry.
The respondents utilized the two adopted questionnaires (Fennema-Sherman Mathematics Attitude
Scales and the Trigonometry Proficiency Test. The gathered data were statistically treated using frequency,
simple percentage, rank, weighted mean, standard deviation, Chi-square test of independence, and ANOVA.
B. FINDINGS
On the profile of the respondents, the study shows that most respondents are females 19 to 20 years old.
On the level of attitudes of the respondents toward Trigonometry in the use of blended learning, the
study reveals that the students have positive attitudes toward Trigonometry.
On the respondents' performance in Trigonometry in the use of blended learning, the study shows that
the students are less proficient in Trigonometry; that is, most scored 75 to 79.
On the significant relationship between the respondents’ profile and attitudes towards Trigonometry,
the study revealed that the age and gender of the respondents do not have significant relationships with their
attitudes and performance in Trigonometry.
On the test of significant differences in the attitudes and performance in Trigonometry when grouped by
its profile, the study shows no significant difference in the attitudes and performance of the students in
Trigonometry.
C. CONCLUSION
In conclusion, Trigonometry is very useful to students because it enables them to solve problems that are
genuinely related to their daily lives and may contribute to their success, as revealed in the study. Though
the students found it useful, they scored less proficient in the performance test in Trigonometry. These
students need to be honed to improve their learning in the subject, helping them understand the underlying
concepts in higher mathematics.
By adhering to the fundamentals of Trigonometry, students, through their teachers, can acquire
sufficient knowledge in Trigonometry, which is very useful in learning higher mathematics. They can dig
deeper into the students' attitudes that affect their performance in Trigonometry with the use of blended
learning. In this manner, the school is molding high-caliber future mathematics teachers who are ready for
the demands of 21st-century teaching.
D. RECOMMENDATIONS
The researcher recommends that teachers handle Trigonometry to consider students learning
backgrounds in choosing instructional strategies in a bended learning approach. It is suggested that teachers
must align their methods with students’ assessed learning needs and capabilities.
CHAPTER 4
Students who have temporarily fallen behind require assistance with their studies and have the right to
remedial classes. When difficulties in learning Trigonometry are identified, remedial teaching should begin
immediately so that students do not fall further behind in their studies. It should be organized according to a
plan and as often as necessary.
The teacher primarily takes the initiative of giving remedial classes. The teacher's task is to monitor the
learning and growth of the student and the possible needs for support that may arise. Teachers must see to it
that the learning materials in Trigonometry are valid and suits the academic needs of these students, which
may result in a positive attitude toward the subject, thereby helping increase their performance in
Trigonometry.
B. Objectives
The following are the objectives in the implementation of the Action Plan:
Improve quality learning in Trigonometry by providing students with remedial classes to improve their
performance in the subject.
Customizing teaching-learning materials for blended learning to Trigonometry.
Enhancing teaching on blended learning to faculty teaching Trigonometry subject.
C. Scheme of Implementation
The proposed output for implementing blended learning in teaching covers the areas of concern such as
remedial class, learning materials, training and seminar on the implementation of the new normal,
objectives, strategies, person involved, budget, source of budget, time frame, projected outcomes, actual
accomplshments and remarks to achieve the goal for the implementation of blended learning in teaching
Trigonometry.
Actual
Areas of Objective Persons Source of Time Expected
Strategie Budget Accomplis Remark
Concern s Involved Budget Frame Outcome
s h-ment s
Remedial Enhance Conduct Students 20,000 BiPSU- One year Increased 100% Conducte
Class quality remedial STED performance of monitored d the
learning classes Faculty 2022-2023 the students in of the remedial
on on Trigonometry remedial classes
Trigonom Trigono class by the successfu
etry metry. Program lly
subject. Chairperso
n
Learning Customiz Develope Students 20,000 GAA One year Increased 100% Utilized
Materials e of d critical performance of utilization the
teaching- thinking Subject 2022-2023 the students in of the customiz
learning and Teacher Trigonometry customized ed
material problem- teaching- teaching-
for solving learning learning
Blended teaching- material material
Learning learning for
materials blended
learning
C. Training Enhance How to Faculty 20,000 GAA One year Teachers 100% Conducte
and Seminar teaching use LMS enhanced the attendance d the
on the on Moodle, 2022-2023 delivery of during training
Implementat blended google instruction seminar and
ion of the learning classroo through seminar
New Normal m and blended successfu
other learning. lly
learning
manage
ments
system
for
faculty
use.
Prepared by:
[1.] Aksan, J. A. (2021). Effect of modular distance learning approach to academic performance In
mathematics of students in Mindanao State University-Sulu Senior High School Amidst Covid-19
Pandemic. Open Access Indonesia Journal of Social Sciences, 4(4), 386-409. Retrieved from
https://bit.ly/3dUUV90
[2.] Anokye-Poku, D. &Ampadu, E. (2020). Gender differences in attitudes and achievement in
mathematics among Ghanaian JHS students. International Journal of Education, 12(3), 84-95.
Retrieved from https://bit.ly/3SRTj2w
[3.] Bacomo, A., Daculap, L., Ocampo, M., Paguia, C., Pentang, J., & Bautista, R. (2022). Modular
Learning Efficiency: Learner’s attitude and performance towards self-learning modules. Retrieved
from https://philarchive.org/archive/BACMLE?fbclid=IwAR2JajHIrwgJD0MG
[4.] Bandura, A. (2021). Analysis of modeling processes. In Psychological modeling (pp. 1-62).
Routledge. Retrieved from https://bit.ly/3LMqAbZ
[5.] Barana, A., Marchisio, M. &Sacchet, M. (2021). Interactive feedback for learning mathematics in a
digital learning environment. Education Sciences, 11(6), 279. Retrieved from
https://bit.ly/3KKxQ6C
[6.] Baruah, T. D. (2018). E-learning as a medium for facilitating learners’ support services under open
and distance learning: An evaluative study. In Technology for efficient learner support services in
distance education (pp. 93-112). Springer, Singapore. Retrieved from https://bit.ly/3FtZmEx
[7.] Berger, N., Mackenzie E., & Holmes, K. (2020). Positive attitudes towards mathematics and science
are mutually beneficial for students achievement. Retrieved from https://doi.org/10.007/s13384-020-
00379-8.
[8.] Cherry,K. (2022).What is learning?
[9.] Retrieved from https://tinyurl.com/379tbaky
[10.] Cortez, C. P. (2020). Blended, Distance, Electronic and Virtual-Learning for the New Normal
of Mathematics Education. Retrieved from https://doi.org/10.30935/ejimed/8276
[11.] Chiu, S. K. (2019). Innovative experiential learning experience: Pedagogical adopting Kolb’s
learning cycle at higher education in Hong Kong. CogentEducation 6(1), 1644720. Retrieved from
https://tinyurl.com/3x47erna
[12.] Daker, R. J., Gattas, S. U., Sokolowski, H. M., Green, A. E., & Lyons, I. M. (2021). First-year
students’ math anxiety predicts STEM avoidance and underperformance throughout university,
independently of math ability. npj Science of Learning, 6(1), 1-13. Retrieved from
https://tinyurl.com/yfwa47ck
[13.] Fadillah, A., Nopitasari, D. &Pradja, B. P. (2020). Blended learning model during the Covid-19
pandemic: Analysis of student’s' mathematical disposition. JTAM (JurnalTeori dan
AplikasiMatematika), 4(2), 173-181. Retrieved from https://bit.ly/3w3KZlP
[14.] Heo, H., Leppisaari, I. & Lee, O. (2018). Exploring learning culture in Finnish and South Korean
classrooms. The Journal of Educational Research, 111(4), 459-472. Retrieved from
https://bit.ly/39d3dcJ
[15.] Idris, F., Din, W.M., & Tajuddin, M. (2020). Adapting Kolb’s Experiential Learning Cycle in
Enhancing Attitude and Skills Among Undergraduates Through Volunteerism. AJTLHE, 12, 122-39.
Retrieved from https://tinyurl.com/35x34exh
[16.] Indrapangastuti, D., Surjono, H. D.&Yanto, B. E. (2021). Effectiveness of the blended learning
model to improve students' achievement of mathematical concepts. Journal of Education and e-
Learning Research, 8(4), 423-430. Retrieved from https://bit.ly/3JSYRWt
[17.] Kang, J., Liu, M. & Qu, W. (2017). Using gameplay data to examine learning behavior patterns in a
serious game. Computers in Human Behavior, 72, 757-770. Retrieved from https://bit.ly/3xRMC8R
[18.] Kumar, A., Krishnamurthi, R., Bhatia, S., Kaushik, K., Ahuja, N. J., Nayyar, A. &Masud, M. (2021).
Blended learning tools and practices: A comprehensive survey. IEEE Access. Retrieved from
https://bit.ly/3yua4td
APPENDICES
APPENDIX A
TRANSMITTAL LETTERS
APPENDIX B
INFORMED CONSENT
This informed consent is for the studentswho are enrolled in Trigonometry during the second
semester, school year 2022-2023, who will be used as respondents in the study. These respondents have
direct experiences in implementing the blended learning in learning Trigonometry amidst the COVID-19
pandemic. I am inviting you to participate in research entitled, "Performanceand Attitudes in Trigonometry
Using Blended Learning Among College Students in Biliran Province State University Amidst the COVID-
19 Pandemic.”
Introduction
I am Gerry Mae V. Gervacio, a graduate student researcher from the Graduate Programs of the Cebu
Technological University, Cebu City. I will give you the details and invite you to participate in the study.
You do not have to decide whether or not to participate in the survey right now. You can discuss the
findings with anybody you feel comfortable with before deciding.
There may be words on this consent form that you do not understand. Please ask me to come to a halt
as we go over the facts, explaining. Please contact me if you have any questions.
Respondent Selection
You are invited to participate in this research because your experiences in learning Trigonometry as
a student can contribute much to my understanding and knowledge regarding the students’ performances in
Trigonometry amidst the pandemic.
Voluntary Participation
It is totally up to you whether or not you participate in this study. It is entirely up to you whether or
not to engage. It is fine with me if you do not want to participate.
Procedures
I ask you to answer the survey questionnaires and your perceptions of your attitudes toward
Trigonometry. I am inviting you to take part in this study as a respondent. If you accept, you will be given a
survey questionnaire to answer, which is categorical, and you are going to rate these items based on your
attitudes toward Trigonometry.
You have the option of not answering any of the questions during the survey questionnaire's
execution. The recorded information is private, and no one else will access it while the survey questionnaire
is administered.
Risks
If the discussion is on sensitive and personal issues and you may feel uncomfortable talking about
some of the topics, you do not have to answer any questions in the survey. If you do not wish to do so, it is
okay. You do not have to give us any reason not to respond to any question or refuse to participate in the
research.
Benefits
To determine the respondents' performance in Trigonometry, attitudes, and experiences regarding the
implementation of blended learning and provide implications for better opportunity practice that can help
them in the four walls of the classroom.
Reimbursements
You will not be provided any incentive to take part in the study.
Confidentiality
The study may draw attention to other people in the community. I will not be sharing information
about you. The information that I will collect from the survey will be kept private. Any information about
you will have a number on it instead of you. It will not be shared with or given to anyone.
___________________
Respondent’s Signature
APPENDIX C
SURVEY QUESTIONNAIRE
Dear Students,
Good day!
This questionnaire will help me develop an action plan for teachers and students that aims to
quantify the data required to arrive at a reliable description of the mathematics proficiency and attitudes of
the Grade 8 students toward mathematicsin the use of a modular approach.
All information collected in this study will be treated with the utmost confidentiality. While results
will be made available, you are guaranteed that neither you nor your school will be identified in any report.
Participation in this study is voluntary.
Below are the indicators; please put a check () mark in the appropriate box. I am, therefore, asking
for your assistance. Rest assured, all your answers will be treated with the utmost confidentiality.
Researcher
Below are questions related to the students' profiles. Please check the () mark or fill the data in the
appropriate space.
A. Confidence in Learning
SA A D SD
Indicators
(4) (3) (2) (1)
1. I have felt secure about attempting Trigonometry.
2. I am sure I could do advanced work in Trigonometry.
3. I am sure that I can learn Trigonometry.
4. I think I could handle more difficult Trigonometry.
5. I can get good grades in Trigonometry.
6. I have a lot of self-confidence when it comes to Trigonometry.
7. I am no good at Trigonometry.
8. I do not think I could do advanced Trigonometry.
9. I am not the type to do well in Trigonometry.
10. For some reason, even though I study, Trigonometry seems unusually hard for me.
11. Most subjects I can handle okay, but I have a knack for messing up me.
12. Trigonometry has been my worst subject.
APPENDIX D
1. Secθ equals to
a. 1 ⁄ cosecθ b. 1 ⁄ secθ c. 1 ⁄ cosθ d. 1 ⁄ cotθ
2. The x-axis and y-axis divides the plane in four regions, called
a. quadrants b. segments c.sectors d. positions
5. The angle subtended at the center of the circle by an arc, whose length and radius are equal is called
a. initial side c. radian
b. vertex d. point of intersection
6) Which of the following is the correct value of cot 10 0.cot 200.cot 600.cot 700.cot 800?
a. 1/√3 b. √3 c.-1 d. 1
9) If the value of α + β = 900, and α : β = 2 : 1, then what is the ratio of cos α to cos β ?
a. 1:3 b. √3 : 1 c.1 : √3 d. None of these
10) If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?
a. 1 b. √3 c. 1/√3 d. None of these
12) If θ is said to be an acute angle, and 4 cos2 θ - 1 = 0, then what is the value of tan (θ - 150)?
a. 1 b. √2 c. 1/√3 d. None of these
13) If the value of θ + φ = π/2, and sin θ = 1/2, what will be the value of sinφ?
a. 1 b. √2 c. √3/2 d. 2/√3
14) A student sees a bird on top of a 12m high light pole. The student is standing 7.____ 20m from the base
of the pole. At what angle must the student incline her camera to take a picture of the bird?
a. 31o b. 37o c. 59o d. 87o
16) What is the value of tan θ/(1 - cot θ) + cot θ/(1 - tan θ)?
a. tan θ + cot θ + 1 c. tan θ - cot θ - 1
b. tan θ - cot θ + 1 d. None of these
18) What will be the value of (√3 tanθ + 1), if r sinθ = 1, and r cosθ = √3?
a. 2 b. 1 c. 0 d. None of these
20) If sin θ = 0.7, then what is the value of cosθ, if 0 0<= θ < 900?
a. √51 b. √49 c.0.3 d. None of these
23) If sin (θ + 180) = cos 600, then what is the value of cos5θ, where 00< θ < 900?
a. 0 b. ½ c.1 d. 2
25) What will be the simplified value of (sec A sec B + tan A tan B)2 - ( sec A tan B + tan A sec B)2 ?
a. 0 b. 1 c. -1 d. 2
26) What is the simplified value of (cosec A - sin A)2 + (sec A - cos A)2 - (cot A - tan A)2 ?
a. 0 b. 1 c.-1 d. 2
27) What will be the value of sec4 θ - tan4 θ, if sec2 θ + tan2 θ = 7/12?
a. ½ b. 7/12 c.1 d. 2/3
30) Which of the following is the correct value of tan2 A + cot2 A - sec2 A cosec2 A, where 00< A < 900?
a. 4 c. 2
b. -2 d. None of these
32) If the value of tan θ = 4/3, then which of the following is the correct value of (3 sin θ + 2 cos θ) / (3 sin θ
- 2 cos θ) =?
a. 1 c. -3
b. 2 d. 3
33) If the value of tan 150 is 2 - √3, then what is the value of tan 150 cot 750 + tan 750 cot 150?
a. 14 c. -13
b. 21 d-14
34) Which of the following is the correct relation between A and B, if A = tan 11 0 . tan 290, and B = 2 cot
610 . cot 790?
a. A=B c. A = -B
b. A = 2B d. 2A = B
35) If sin θ x cos θ = 1/2, then what is the value of sin θ - cos θ?
a. 0 c. 1
b. -1 d. None of these
36) If the value of sin(θ + 300) is 3/√12, then what is the value of cos2 θ?
a. ¾ c. 4/3
b. ¼ d. None of these
37) If the value of 4 cos2θ - 4√3 cos θ + 3 = 0, then what is the value of θ?
a. 600 c. 300
0
b. 45 d. None of these
38) Which of the following is the correct value of cos2 550 + cos2 350 + sin2 650 + sin2 250?
a. 0 c. 3
b. 2 d. None of these
39) If the value of tan 90 = p/q, then what is the value of sec2 810/ 1 + cot2 810?
a. p2/q2 c. 1
2 2
b. q /p d. None of these
40) If cot 450.sec 600 = A tan 300.sin 600, then which of the following is the correct value of A?
a. 4 c. 1
b. √2 d. None of these
APPENDIX E
STATISTICAL REPORTS
Variable Maximum
Age 28.000
Descriptive Statistics: Con1, Con2, Con3, Con4, Con5, Con6, Con7, Con8, ...
Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3
Con1 34 0 3.0588 0.0724 0.4222 2.0000 3.0000 3.0000 3.0000
Con2 34 0 2.882 0.101 0.591 2.000 2.750 3.000 3.000
Con3 34 0 3.3235 0.0814 0.4749 3.0000 3.0000 3.0000 4.0000
Con4 34 0 2.6765 0.0917 0.5349 2.0000 2.0000 3.0000 3.0000
Con5 34 0 3.0294 0.0894 0.5214 2.0000 3.0000 3.0000 3.0000
Con6 34 0 2.6765 0.0917 0.5349 2.0000 2.0000 3.0000 3.0000
Con7 34 0 2.382 0.127 0.739 1.000 2.000 2.000 3.000
Con8 34 0 2.500 0.114 0.663 1.000 2.000 3.000 3.000
Con9 34 0 2.412 0.134 0.783 1.000 2.000 2.000 3.000
Con10 34 0 2.647 0.126 0.734 1.000 2.000 3.000 3.000
Con11 34 0 2.824 0.115 0.673 2.000 2.000 3.000 3.000
Con12 34 0 1.9118 0.0978 0.5704 1.0000 2.0000 2.0000 2.0000
Variable Maximum
Score 17.000
A D All
17-18 5 1 6
19-20 17 3 20
21&ab 8 0 8
All 30 4 34
A D SA All
17-18 6 0 0 6
19-20 18 0 2 20
21&ab 7 1 0 8
All 31 1 2 34
A D SA SD All
17-18 3 2 1 0 6
19-20 11 6 1 2 20
21&ab 3 5 0 0 8
All 17 13 2 2 34
A D SD All
17-18 4 2 0 6
19-20 16 3 1 20
21&ab 7 1 0 8
All 27 6 1 34
A D All
17-18 5 1 6
19-20 17 3 20
21&ab 7 1 8
All 29 5 34
LP Poor All
17-18 6 0 6
19-20 18 2 20
21&ab 6 2 8
All 30 4 34
A D All
Female 21 2 23
Male 9 2 11
All 30 4 34
A D SA All
Female 21 1 1 23
Male 10 0 1 11
All 31 1 2 34
A D SA SD All
Female 14 7 0 2 23
Male 3 6 2 0 11
All 17 13 2 2 34
A D SD All
Female 19 4 0 23
Male 8 2 1 11
All 27 6 1 34
A D All
Female 20 3 23
Male 9 2 11
All 29 5 34
LP Poor All
Female 20 3 23
Male 10 1 11
All 30 4 34
Prepared by:
APPENDIX F
DOCUMENTATION
CURRICULUM VITAE
PERSONAL BACKGROUND
Age : 29
Place of Birth : Caibiran, Biliran
Date of Birth : February 22, 1993
Citizenship : Filipino
Civil Status : Single
Gender : Female
EDUCATIONAL BACKGROUND