ABSTRACT
This study investigated the effects of Multimedia and Problem-Based Learning Strategies on Students’ Academic Achievement, Retention and Interest in Mathematics in Akwa Ibom State, Nigeria. Research Design adopted for the study was a non-equivalent Quasi-experimental Design. The population of this study comprised all 51,771 senior secondary school one students in Akwa Ibom State for the 2020/2021 academic session. The study was reviewed under three sub-headings which include conceptual framework, theoretical framework, empirical studies and summary of related literature. Sampling techniques used were multi stage sampling techniques involving simple random sampling and purposive sampling techniques with the sample size of 155 (SS1) students from intact classes comprising of 64 male and 91 female students. Research instruments were Statistics Achievement Test (SAT), Statistics Retention Test (SRT) and Statistics Interest Scale (SIS) which were validated by three independent experts and subjected to reliability test of Kuder-Richardson’s Formular-20 which internal consistency of 0.90 was obtained. Eight research questions were formulated and eight null hypotheses were raised to guide the study. Research questions were answered using descriptive statistics of mean and standard deviation while Analysis of Co-variance (ANCOVA) was employed to test each of the hypotheses at 0.05 level of significance. Results showed that there is a significant difference among academic achievement, retention and students’ interest in Mathematics when taught using Multimedia Computer Aided Learning (CAL), Problem-Based Learning (PBL) and Conventional teaching strategies. Results also revealed that there was no significant interaction effect of teaching strategies, gender, retention and interest on students’ achievement in Mathematics. Problem-Based learning strategy was found to be the best in teaching Mathematics than Multimedia and Conventional strategies. Based on the findings of this study, it was recommended among others, that teachers should adopt the use of PBL strategy in teaching Mathematics since this strategy was found to be more effective than Multimedia and Conventional strategies.
TABLE OF CONTENTS
Page
Cover page i
Title page ii
Declaration iii
Certification iv
Dedication v
Acknowledgements vi
Table of Contents vii
List of Tables xi
List of Figures xii
List of Appendices xiv
Abstract xv
CHAPTER 1: INTRODUCTION
1.1 Background
to the Study 1
1.2 Statement
of the Problem 13
1.3 Purpose
of the Study 14
1.4 Research
Questions 14
1.5 Hypotheses 15
1.6 Significance
of the Study 16
1.7 Scope
of the Study 17
CHAPTER 2: REVIEW OF RELATED LITERATURE
2.1 Conceptual
Framework 18
2.1.1 Multimedia learning strategy 18
2.1.2 Problem-based learning 24
2.1.3 Conventional method of learning 25
2.1.4 Strategies for teaching and learning Mathematics 25
2.1.5 Achievement of students in Mathematics 29
2.1.6 Retention and students’ academic performance in Mathematics 30
2.1.7 Gender issues in Mathematics 31
2.1.8 Interest of students in Mathematics 32
2.1.9 ICT/Electronic learning 35
2.1.10 Statistics in Mathematics 37
2.2 Theoretical
Framework 40
2.2.1 Skinner’s Theory of Learning 40
2.2.2 Jean Piaget’s Theory of Learning 41
2.2.3 Thorndike’s Decay Theory of Learning 42
2.2.4 Bruner’s Theory of Learning 42
2.3 Empirical
Studies 43
2.3.1 Studies on the teaching of Mathematics 43
2.3.2 The use of e-learning/multimedia projection strategy in teaching
science subject 44
2.3.3 Gender as a factor in students in Mathematics 47
2.3.4 Interest as a factor in Mathematics achievement 49
2.4 Summary
of Review of Related Literature 50
CHAPTER 3: METHODOLOGY
3.1 Design
of the Study 53
3.2 Area
of the Study 54
3.3 Population
of the Study 55
3.4 Sample
and Sampling Techniques 55
3.5 Instruments
for Data Collection 56
3.5.1 Mathematics achievement test (MAT) 56
3.5.2 Mathematics retention test (MRT) 56
3.5.3 Mathematics interest scale (MIS) 56
3.5.4 Lesson plan 57
3.6 Validation
of the Instruments 57
3.7 Reliability
of the Instruments 58
3.8 Methods
of Data Collection 58
3.8.1 Experimental procedure 58
3.8.2 Control of extraneous variables 59
3.9 Method
of Data Analysis 61
CHAPTER 4: RESULTS AND DISCUSSION
4.1 Results
of the Study 62
4.2 Major
Findings of the Study 73
4.3 Discussion
of Findings 75
4.3.1 Academic
achievement of students in Mathematics 75
4.3.2 Retention
of students in Mathematics 76
4.3.3 Students
interest in Mathematics 75
4.3.4 Achievement
between male and female students in Mathematics 77
4.3.5 Retention
of male and female students in Mathematics 78
4.3.6 Interest
of students in Mathematics 78
4.3.7 Interaction
effect of teaching strategies, gender and retention 79
4.3.8 Interaction
effect of teaching strategies, gender and interest 79
CHAPTER 5: SUMMARY, CONCLUSION AND RECOMMENDATIONS
5.1 Summary of the Study 81
5.2 Conclusion 82
5.3 Recommendations 83
5.4 Limitations of the Study 84
5.5 Educational Implications of the Major Findings 84
5.6 Suggestions
for Further Research 85
References 87
Appendices 96
LIST OF
TABLES
1.1: WAEC Mathematics Results from 2000 – 2018 145
3.1: Sample Distribution of the Participants of this Study 96
3.2: Number of SS1 Students in each of the purposively
Selected Schools
for the Study. 96
3.3: Table of Specification for Mathematics Achievement Test (MAT) 144
3.4: Reliability Table 147
4.1: Mean and Standard
Deviation of Students taught Mathematics using
CAL, PBL and Conventional Teaching Strategies. 62
4.2: Analysis of
Co-variance (ANCOVA) of Students Mean Achievement
Scores when taught using CAL, PBL and Conventional Teaching
Strategies 63
4.3: Mean and Standard
Deviation of Retention Scores of Students taught
Mathematics using CAL, PBL and Conventional Teaching Strategies 63
4.4: Analysis of Co-Variance
(ANCOVA) of Students Mean Retention
Scores when taught using CAL, PBL and Conventional Teaching
Strategies 64
4.5: Mean and Standard
Deviation of Interest Scores of Students taught
Mathematics using CAL, PBL and Conventional Teaching Strategies 64
4.6: Analysis of
Co-Variance (ANCOVA) of Students Mean Interest
Scores when taught using CAL, PBL and Conventional Teaching
Strategies 65
4.7: Mean and standard
Deviation of Male and Female Students taught using
CAL, PBL and Conventional Teaching Strategies. 65
4.8: Analysis of
Co-Variance (ANCOVA) of Male and Female Mean Scores
when taught using CAL, PBL and Conventional Teaching Strategies. 66
4.9: Mean Retention
Scores and Standard Deviation of Male and Female
Students taught using CAL, PBL and Conventional Teaching
Strategies 67
4.10: Analysis of
Co-Variance (ANCOVA) of Male and Female
Students Mean Retention Scores when taught using CAL, PBL
and Conventional Teaching Strategies. 67
4.11: Mean Interest Scores
and Standard Deviation of Male
and Female Students in Mathematics when taught using
CAL, PBL and Conventional Teaching Strategies 68
4.12: Analysis of
Co-Variance (ANCOVA) of Male and Female
Students Mean Interest Scores when taught using CAL, PBL
and Conventional Teaching Strategies. 69
4.13: Mean and Standard
Deviation of Teaching Strategies,
Gender and Retention of Student’s in Mathematics when taught using
CAL, PBL and Conventional Teaching Strategies. 69
4.14: Analysis of
Co-Variance (ANCOVA) on Interaction Effect of Teaching
Strategies, Gender and Retention on Students’ Achievement in Mathematics
when taught using CAL, PBL and Conventional Teaching Strategies. 70
4.15: Mean and Standard
Deviation of Teaching Strategies, Gender and
Interest of Student’s in Mathematics when taught using CAL, PBL
and Conventional Teaching Strategies. 71
4.16: Analysis of
Co-Variance (ANCOVA) on Interaction Effect of Teaching
Strategies, Gender and Interest on Students’ Achievement in Mathematics
when taught using CAL, PBL and Conventional Teaching Strategies. 72
LIST OF
FIGURES
4.1 Plot showing the Interaction
Effect of Teaching Strategies, Gender
and
Retention on Academic Achievement of Students in Mathematics 71
4.2 Plot showing the Interaction
Effect of Teaching Strategies, Gender
and Interest on Academic Achievement of
Students in Mathematics 73
LIST OF
APPENDICES
1
Lesson Plan on
Statistics for Control Group 97
2
Lesson Plan on
Statistics for Experimental Group I (MLS-CAL) 100
3
Lesson Plan on
Statistics for Experimental Group II (PBL) 104
4
Mathematics
Achievement Test (MAT) (Pre-test) 107
5
Mathematics Achievement
Test (MAT) (Post-test) 118
6
Mathematics Retention
Test (MRT) (Post-Posttest) 127
7
Key to SAT Multiple
Choice Questions 137
8
Table of
Specification 144
9
Instrument for Mathematics
Interest Scale (MIS) Pre-test 138
10
Instrument for Mathematics
Interest Scale (MIS) Post-test 140
11
Instrument for
Mathematics Interest Scale (MIS) Post-Posttest 142
12
Schema for Experimental Procedures 146
13
Calculation
of Reliability using Kuder-Richardson 20 (KR-20) 147
14
Letter to Principal
of participating schools (1 – 4) 148
15
Instrument Validation
Form 1 150
16
Instrument Validation
Form 2 151
17
Instrument Validation
Form 3 152
CHAPTER 1
INTRODUCTION
1.1 BACKGROUND
TO THE STUDY
Mathematics
teaching and learning process has gradually become the main focus of global
discourse. Societal and educational value placed on Mathematics as a subject
has made it become imperative that when academics ought to be proven as
outstanding, it starts with one’s ability to understand and carry out simple
computational problems (Zechariah, 2012).
Since
Nigeria obtained her independence in 1960, Mathematics education has continued
to receive special emphasis and attention. This is perhaps, in recognition of
the contribution of Mathematics to the overall development of a nation which
cannot be underestimated in view of its role for social and economic
development(Agwagah, 2013). Thus, the quest for national development along with
scientific, technological growth and self-reliance are matched with
corresponding progress in Mathematics (Kauru, 2016). Adeleke (2007) indicated
that in the twenty first century, developing nations have come to realize that
the increasing role of science and technology with strong Mathematical content
is a sustainable instrument for National Development. Some of these roles
include its ability to enhance the re-thinking capabilities of individuals by
making one to be creative, reasonable and rational as well as imaginative.
Cangiano (2008) posited that Mathematics has been recognized as a tool for
solving everyday problem faced by individuals and the society. Even the most
ordinary citizen has to calculate his wages and buy things from the market. For
a housewife, farmer, trader, laborer, shopkeeper or accountant, some knowledge
of Mathematics is absolutely necessary to carry out one’s job. In the same
vein, Agwagah (2013) indicated that Mathematics is an indispensable tool in
virtually all human endeavors and there is hardly any field where Mathematics
is not useful. That is why Mathematics has been placed as a compulsory subject
both at primary and secondary school levels in Nigeria. This aligned with Ukeje
in Onah (2014) who stressed that without Mathematics, there is no science;
without science, there is no modern technology and without modern technology,
there is no modern society. This implies that there could be no real
development technologically without a corresponding development in Mathematics.
One may now ask; what is Mathematics and what are the objectives of Mathematics
in Secondary Schools?
Mathematics
as a subject is the study of quantity, structure, space, relation, change and
various topics of pattern, form and entity. Borel (2014) opined that
Mathematics is both the Queen of Science and a servant of science subjects
whereas Life (2014) viewed Mathematics as King of Arts and Queen of Science. Furthermore,Iji
(2014) posited that Mathematics is the logical language for expressing ideas,
shapes, quantities, sizes, order, change and dynamism in the education system
and explaining the complexities of modern society in the business economic,
academic engineering and industry setting for lifelong learning. Mathematics,
according to Lutfuzzaman (2014), is the key to all sciences. This is because
today's world is heavily reliant on science, and the later, is reliant on
Mathematics. Although many regard Mathematics as a theoretical topic, the fact remains
that mathematical ideas were formed to meet the needs of day-to-day practical
life.
Mathematics
is an interdisciplinary language which cuts across all areas of human learning
and endeavors. An effective learning of Mathematics is therefore, imperative,
for a society to cope and compete effectively in the presence of fast changing
scientific and technological development. This explains the fact that knowledge
gotten from Mathematics is applicable to all areas of human activities and
consequently, determines the level and rate of national development (Momoh,
2010). According to Odili (2006), the objectives of teaching Mathematics
include; to generate interest in Mathematics and provide a solid foundation for
everyday living; to develop computational skills; to foster the desire and
ability to be accurate to a degree relevant to the problem at hand; to develop
and practice logical and abstract thinking; to develop ability to recognize
problems and to solve them with related Mathematical knowledge; to provide
necessary Mathematical background for further education and to stimulate and
encourage creativity. FRN (2014) stated that the objectives of Mathematics in
secondary schools at both junior and senior levels include: developing
originality and curiosity in the learners; acquiring relevant manipulative
skills; emphasizing the wide applicability of Mathematics in various field and
leading the learners to discover and appreciate the beauty and elegance of
Mathematics. Onah (2015) opined that the aesthetic values of Mathematics are
found in Statistics. The beauty and elegance of Mathematics are found in
statistics. Lassa (2012) opined that every major branch of Mathematics involves
statistics in a very fundamental way. Lassa is of the view that the language of
statistics is precise and unambiguous, which arises out of the need to
generalize.
Statistics
is defined as “a collection of quantitative data” or a branch of Mathematics
dealing with the collection, organization, analysis, interpretation and
presentation of numerical data (Arsham, 2015). It is the science that deals
with the collection, classification, analysis and interpretation of numerical
facts by using Mathematical theories of probability, imposing order and
regularity on aggregates of more or less desperate elements, numerical facts or
data. Arsham, 2015) further opined that is the
reason why it forms part of the school curriculum from pre-primary, primary and
secondary schools whose foundation must begin to be built in the very early
stages in schools. The content of statistics in Senior Secondary One curriculum
by the Federal Ministry of Education includes:(i)Collection, tabulation and
presentation of data(ii) Frequency Tables (iii)Graphical representation of data
(iv) Pie chart and (v)
Frequency polygon.
According
to American Statistical Association (ASA, 2018), statistics education has both
cognitive and non-cognitive goals for students. The cognitive goal of
statistics reflects students designing investigation, formulation of research
questions, collection of data using observations, description and comparisons
of dataset, proposition and justifications, conclusions and prediction based on
the data collected. The non-cognitive goal reflects students’ affective
construct such as attitudes, beliefs, emotions, disposition and motivation.
However, in a typical classroom, two main statistical methods (inferential and
descriptive) are used for data analysis and descriptive statistics which is
most often concerned with two sets of properties of a distribution (sample and
population) called central tendency (seeks to characterize the distributions of
central or typical value), this covers key areas like the mean, median and
mode. Dispersion or variability (characterized by the extent to which members
of the distribution depart from its center and each other) covers area of
range, mean deviation and quartiles. If effective teaching strategy is not used
in teaching of statistics, students find it difficult to calculate arithmetic
mean, solve problems on grouped frequency distribution, the median, geometrical
determination of the median, median from a histogram, median from a cumulative
frequency curve, quartile and percentiles, the mean, median and mode from
interpolation formulae and constructing and solving problems on pie chart. To
be precise, Dike (2013) indicated that about 29% of the questions given to
students every year in West African Examination Council (WAEC) usually come
from area of set and statistics, and that is one of the reasons why the current
failure trend in the subject as a whole can be attributed to the student’s
inability to understand the concepts in statistics.
In
2011 and 2012 West African Senior School Certificate Examination (WASSCE),
there was a marked decline in candidate’s performance. Egunidu (2013) stated
that in 2011 only 139,872 candidates representing 36.07% passed Mathematics
while in the year 2012, only 150,615 candidates representing 49.00% obtained
five (5) credits in their subjects, including English and Mathematics. For
May/June 2011 and 2012 WASSCE, WASSCE Chief Examiner Reports (2013) stated as
follows: only 36.00% candidates who MAT for the May/June, 2011 WASSCE obtained
a credit and above in Mathematics. In 2012 May/June, the percentage of students
with credit and above in Mathematics was 48.88% (Chief Examiner’s Report WAEC,
2012). In 2013, the result declined to 36.57% while in 2014, there was a mass
failure as only 31.28% candidates obtained five credits in Mathematics; in
2015, it increased to 38.18%; in 2016, 38.68%; in 2017, 30.12% and in 2018 only
31.01% of candidates obtained credits in Mathematics (Chief Examiner’s Report
WAEC, 2013, 2014, 2015, 2016, 2017 and 2018) (see Table 1.1) Page 143. These
percentages are still low as educators in the field are worried and improvement
is highly needed. It is obvious why every Mathematics educator is worried about
the poor and zigzag performance of students in Mathematics. Lassa (2012)
reiterated that if nothing positive is done to improve students’ performance in
Mathematics, the developmental aspiration in science and technology in Nigeria
will be a hallucination. This commensurates with Odili (2016) opinion that
Mathematics is the queen of the science and no nation can hope to achieve any
measure of scientific or technological advancement and development without
proper foundation in school Mathematics. Unfortunately, Mathematics is one of
the most poorly taught, widely hated and abysmally understood subjects in
Nigerian school system (Arsham, 2015). Most secondary school students
particularly girls do run away from Mathematics.
Despite
the importance of Mathematics, many problems seem to beset its teaching in
Nigeria. This has resulted to the consistent poor performance in Senior School
Certificate Examination (SSCE) in the subject (Abakpa and Uguda, 2014).
Prominent among these challenges, according to Mathematics Association of
Nigeria, Onah (2015) are; lack of qualified professional Mathematics teacher;
non-use of appropriate instructional strategy; large class size; limited
programmes for updating teachers’ knowledge; overcrowded classrooms; students’
negative attitude towards Mathematics; undue emphasis on the coverage of
Mathematics syllabuses at the expense of meaningful learning of Mathematics
concepts; inadequate facilities and Mathematics laboratories in our schools to
mention but a few. This catalogue of challenges do not create conducive
environment for Mathematics education to thrive in this country. In order for
science and technology to take its firm root in our society, the poor state of
Mathematics education must be redressed. This could be achieved by demystifying
the subject in the Nigerian classroom and incorporating the enhanced strategies
for this laudable goal. Although the above are some of the factors attributed
to poor achievement in Mathematics, a good number of researchers equally laid
blame on the use of inappropriate teaching strategy which might lead to lack of
retention of Mathematics concepts. Such researchers include Digari, Kauru and
Bello (2016), Ezeh (2011) and Ifeanacho (2012). These researchers believe that
ineffective teaching strategies adopted in the teaching of Mathematics, often
lead to students’ poor achievement, interest and retention. They have
experimented various methods for the improvement of teaching and learning
Mathematics.
One
current method recently developed by researchers to tackle the problems of poor
performance in teaching and learning is Electronic-Learning/Multimedia
projection package strategy (Lassa, 2012; Kauru, 2016; Onah, 2015). It is one
of the latest methods that have been found to be very effective in not only
learning, but also adopted for teaching in order to generate students’ interest
in any subject (Onah, 2015). Unfortunately, software packages for teaching
Mathematics are not always available especially in south-south geopolitical
zone of Nigerian Secondary Schools [AkwaIbom State Ministry of Education
(AKSME)]. Ibezim and Asogwa(2013) stated that there is an urgent need to
utilize computer in teaching for effective achievement of the three domains of
educational objectives in different subject areas. It is on this note, Onah, Ugwuanyi, Okeke, Nworgu, Agwagah,Ugwuany, Obe,
Nwoye and Okeke
(2020) suggested that since students are very much interested and excited in
the use of computer system, it is necessary for Mathematics teachers to use the
opportunity and apply machine as teaching aid. Explaining further, they further
asserted that computer is highly adaptable in teaching vital parts of
Mathematics, most especially the elementary parts.
It
enables the students to grasp the major background concepts behind advanced
mathematical calculations. Thus, the computer could be useful in helping
students grasp the major concepts in Statistics and Set such as mean, median,
mode, range and quartile, union of set, intersection, null and complement of
set. The use of computer in teaching, multimedia projection package strategy
and e-learning can be done interchangeably. What is e-learning? It is a
learning conducted via electronic media, typically on the internet. It is
utilizing electronic technologies to access educational curriculum outside of a
traditional classroom. It is not a course delivered via a DVD or CD-ROM, video
tape or over a television channel. It is interactive in that one can also
communicate with his/her teacher and other students in one’s class. Sometimes,
it is delivered live where you can “electronically” raise your hand and interact
in real time and sometimes it is a lecture that has been pre-prepared. There is
always a teacher interacting/communicating with students and grading students’
participation, give students assignments and tests
(www.elearningnc.gov/about-elearning). This is in line with Amadi (2011)
who stated that e-learning is a process of teaching and learning using computer
as a medium. Onah (2015) opined that e-learning is the general term relating to
all learning that is delivered with the assistance of computer via Compact Disc
(CD), the internet or shared files on a network. Therefore, whichever
definition is given by any educationist, it is clear to note that each points
to computer as the medium of operation. As it is generally observed that eyes
are always captivated by movies, the e-learning provides this desired
opportunity so that the learners’ interest is kept high till fruitful results
are achieved. For this, the learners using e-learning approach continue to be
attentive till the end of the lesson. Thus, learning is considered more
practical with e-learning than other methods (Onah, 2015). Whenever text,
audio, still images, animation and interactivity are combined together, the
result is multimedia. Slides, for example, are multimedia, as they combine text
and images, and sometimes video and other types.
According
to Onah (2015), multimedia is a textbook on a screen with some accompanying
animation, a library of supplementary visual images, and a collection of
animations to demonstrate selected topics. Multimedia can be referred to as any
computer-mediated software or interactive application that integrates text,
colour, graphical images, animation, audio sound, and full motion video in a
single application. Multimedia learning systems consist of animation and
narration which offer a potential avenue for improving students’ understanding
(Moreno and Mayer,2010). Multimedia application is the creation of exciting and
innovative multimedia systems used for the purpose of communication of
information that are customized to the user in a non-linear interactive format.
Multimedia application services include: audio, video processing, education and
training, multimedia analysis and internet, artificial intelligence, virtual
reality and 3-D imaging, wireless mobile computing, animation and graphics and
visual communication. Multimedia is consistent with major trends in both
pedagogy and content. For this reason, it is seen to be promising for the
teaching of Statistics. More often than not, rather than receiving information
passively, students learn mathematical science best by their own activity. It
is on the basis of this that a movement to reform instruction in mathematical
science is being instituted. Hitherto, the content of beginning instruction was
somewhat scanty and unelaborate. However, presently, more emphasis is being
placed on working with data, interpreting graphics, and practical use of
computing and conceptual rather than mathematical explanations.
As noted by Onah (2015), multimedia offers a
highly interactive and individualized environment in which learner is
constantly invited to manipulate animations, asked to respond to questions and
encouraged to work independently to exercise newly learned concepts. The
interactivity and continuous availability of automated calculations and
graphics are ideal for data analysis. Animation and simulation can provide
visualizations of concepts from probability and inference. Video, text and maps
vividly present real problem settings. The learner can control the pace of
instruction, request review or enrich and emphasize the media that best suit
his/her individual learning style (The American Statistician, 2018). This is in
line with Barineme
(2014) who indicated that teachers and students can use computer tools such as
text or graphic editors, databases, spreadsheets or presentation packages to
help in processing information; that these can assist the teachers to improve
and enrich the presentations with beautiful graphics and tables which can be
stored, easily updated and readily accessible for presentation; that the
presentation can be online or offline. In developing any material for
presentation, example Multimedia learning strategy on Statistics, well prepared
Microsoft PowerPoint Strategy is essential so that one can present already
prepared contents on sets and statistics step by step in slide by slide.
Transition effect, animation and sound effect on one’s slide was also added.
Needed slide can be zoomed or maximized to enable one view clearly. Computer Aided
Learning (CAL) and Computer Aided Instruction (CAI) are some of the e-learning
subsets developed in PowerPoint environment Onah (2015).
However, CAI can be developed in Word
environment because of its bulky nature. In the view of Onah (2015), a well prepared
and presented CAI or CAL package helps in the facilitation of education
process. Interests of students are generated as they are actively involved in
what they view on the screen and also carry out any instruction from the
content developer. The expected end result is learning Mathematics with
understanding. Differentiating between CAI and CAL, Oranu (2006) stated that
Computer Aided Technology such as Computer Aided Learning (CAL) or Computer
Aided Instruction (CAI) is included in e-learning. Oranu (2006) explained that
CAI is too bulky as learners are expected to study the materials bit by bit and
cover less content while CAL covers more contents as the teachers may present
the content of CAL package when necessary or use bullet to emphasize points slide
by slide. Although a teacher develops both CAI and CAL, CAI is for learners’
personal use either inside the classroom or outside the classroom while CAL is
for teacher’s presentation to entire Class (Oranu 2006, Adeniran 2008).
According to Oranu (2006), CAL is preferred to
CAI when one wants to cover more contents and the computer facilities are not
enough to reach the students except the teacher. Similar study to this work
were carried out by Ajewole, Ogunlusi and Bajulaiye (2006) who worked on
e-learning and Science, Technology and Mathematics Education. The researchers
found out that in Computer Aided Learning (CAL), computers are used as learning
resources; that the learners interact with the medium of instruction through
the available input terminal; that the teaching materials are stored inside the
computer system and the teacher controls the overall environment in which the
students learn; and such system will enable the teacher to select, specify,
design and even write learning materials which she asserts to be of value to
her students. According to Gimba (2014), the researcher worked on effect of
Computer Assisted Instructional Package on Achievement, Retention and Interest
in Set Theory among Senior Secondary School Students in Niger State. On the
part of e-learning package in use, Gimba prepared the CAI in word environment
while the current research has its CAL prepared in PowerPoint environment with
related concepts found in each slide for better understanding by students. The
use of CAL in PowerPoint environment enabled the researcher to include
animation and transition effects on the contents of the slides. The animations
and transition effects in CAL in return are expected to increase the students’
interest and promote achievement, hence this study is conceived. CAI requires
every learner to own a computer system (Adeniran, 2002). In AkwaIbom State
presently, it is not possible for every student to own and use a system for
CAI. It is therefore better for teachers to use a well prepared CAL package in
form of Multimedia Projection Packages on Set (MUMPPAS) to reach many students
at a time for better understanding and hence the need for this study.
The need for production of an electronic
learning package as multimedia learning strategy (MLS) in form of CAL in
Statistics may be apt for it would most likely promote effective teaching of
Statistics contents already listed slide by slide, leading to better
teaching/learning. In other words, the CAL package, MLS-CAL, would likely
promote teaching and learning since the contents were arranged sequentially
from one slide to another. Learners viewing the slides would likely achieve
highly. This is in consonance with a Chinese proverb which according to Azuka
(2012) was stated thus: What I hear, I forget; what I see, I remember; what
I do, I understand. It has been stated that the conventional/traditional
method of teaching does not promote learning, this is because, the teacher is
the only custodian of what is being learnt using chalk and board whereas
students copying the note while e-learning promotes all the senses of hearing,
seeing and doing. E-learning, therefore, has a practical approach to teaching
and learning and has a lot of advantages. MLS-CAL package is an example of computer
software and John (2014) viewed Computer-Assisted Learning (CAL) as any use of
computer to aid or support the education or training of people. The author
added that instructional strategies are basically used in such ways that they
either provide a straight forward presentation of data or they fill a tutorial
role in which the students are tested on comprehension. This MLS-CAL in form of
CAL package employs the first option of providing a straight forward
presentation of data. Presentable packages are better prepared in PowerPoint
environment so that one can give animation and transition effect in one’s
material in a slide respectively. Would MLS-CAL promote active learning on
Statistics? The researcher is of the view that a well-prepared e-learning subset
such as CAL package like MLS-CAL is likely to support active learning which in
turn can encourage high achievement, retention and interest of students in
statistics, hence the need for the study.
However, Problem-Based Learning (PBL) is a
student-centered approach in which students learn about a subject by working in
groups to solve an open-ended problem. This problem is what drives the
motivation and the learning outcomes that are associated with PBL. A
well-designed PBL project provides students with the opportunity to develop
skills related to working in teams, managing projects and holding leadership
roles, oral and written communication, self-awareness and evaluation of group
processes, working independently, critical thinking and analysis, explaining
concepts, self-directed learning, applying course content to real-world
examples, researching, information literacy and problem solving across
disciplines.
Roh (2003) describes PBL as a learning
environment where problems drive the learning, that is, learning begins with a
problem to be solved and the problem is posed in such a way that students need
to gain new knowledge before they can solve the problem. Rather than seeking a
single correct answer, students interpret the problem, gather needed information,
identify possible solution, and evaluate options and present conclusions. PBL
is a classroom strategy that organizes Mathematics instructions around problem
solving activities and affords students more opportunities to think critically,
present their own creative ideas and communicate with peers mathematically.
The conventional strategy of instruction does
not enable students to develop mathematical thinking skills well instead of
gaining a deep understanding of mathematical knowledge and the nature of
Mathematics; students in conventional classroom environment tend to learn
inappropriate and counterproductive conceptualizations of the nature of
Mathematics. Students are allowed only to follow guided instructions and to
obtain right answers but not allowed to seek mathematical understanding.
Consequently, instruction becomes focused on only getting correct scores on
tests of performance. Therefore, the researcher is of the probable opinion that
if MLS-CAL and PBL strategies are used in teaching Mathematics it will increase
student’s achievement, interest and retention.
Achievement means an accomplishment that
somebody has carried out successfully, especially using one’s own effort and
skill (Onah and Agwagah, 2014).Researchers’ growing interest in studying
Mathematics achievement is driven by the importance of Mathematics in both
formal education and people’s daily live (Jansen, Lowerse, Streatemeier,
Vander-Ven, Klinkenberg and Vander-Maas, 2013; Namkung, Peng and Lin, 2019). Jain
and Dowson (2009) underlined the fact that mathematical comprehension is
crucial for personal and professional success. Saritas and Akdemir (2009)
opined that the current debate among scholars is what students should learn to
be successful in Mathematics. The discussion emphasizes new instructional
design techniques to produce individuals who can understand and apply
fundamental Mathematics concepts. It is important for educators to adopt
instructional design techniques to attain higher achievement rate and interest
in Mathematics. Rasmussen and Marrongelle confirmed in Saritas and Akdemir
(2009).
Interest as a variable has assumed a plethora
of meaning as there are authors to define it. Interest refers to a passion an
individual may have towards a particular objects. Sylvia in Tembe, Anyagh and
Abakpa (2020) characterized interest as an emotion and using the cognitive
appraisal theory explained the occurrence of interest in specific situations.
The authors also referred to interests as traits of people that are developed
and sustained for a long period of time almost reaching the status of
personality characteristics. Hornby (2006) defined interest as the state of
wanting to know, learn about something or somebody. Ochiagha in Godfrey (2013)
listed that interest is essential for learning and training because it has
motivating factor that arouse something deeper and is based on fundamental
emotions and desire, this implies that the student performance can be
influenced by the interest he has on the study of Mathematics. Ngwoke in
Godfrey (2013) highlighted that interest leads to strong ego-involvement in
tasks and it less susceptible to distractions by extraneous inference. It
aisles memory and leads to strong intent to learn and achieve competence. This
in the long run would manifest in the achievement of the learner in both
internal and external examination.
Gender is a set of characteristics
distinguishing between male and female, particularly in the cases of men and
women. Depending on the context, the discriminating characteristics vary from
sex to social role to gender identity. Gender differences in Mathematics
achievement and ability has remained a source of concern as scientists seek to
address the under-representation of women at the highest levels of Mathematics,
physical sciences and engineering (Asante, 2010). Both male and female students
need effective knowledge about Statistics in order to develop and progress.
This situation constitutes a worry to the entire nation since women are nation
builders and need to be carried along with their male counterparts. Methods
that promote high achievement of boys and girls need to be encouraged. There
may be difference in performance in favour of boys or girls but let both
perform highly. Some research findings reported a gender balanced result
(Adimora; Akaneme and Onah 2014). Onah and Agwagah (2014) also found a gender
balanced result when INDICAB game was used in teaching Indices. Only few
research works were seen to favour females (Okoye, 2012). Sanderson, Gogo, and
Ojimba (2022) opined that female students should be encouraged by their
teachers to develop interest in learning Mathematics with their male
counterpart. Mathematics software packages can equally be watched for better
understanding. Since e-learning particularly, multimedia projection packages
are solving problems of poor achievement by increasing students’ interest.
Ajewole, Ogunlusi and Bajulaiye (2006) suggested the need for producing CAL
packages for teaching Mathematics effectively with other science subjects and
Onah (2015) complained that Mathematics teachers lack CAL packages for
teaching concepts in Mathematics. MLS-CAL – which is a multimedia Learning
strategy, and an example of an e-learning package would form additional stock
to existing software packages and hence the need for this software production
on Statistics and its use as MLS-CAL.
1.2 STATEMENT
OF THE PROBLEM
The
study of Mathematics has contributed immensely to various aspects of life such
as banking industry, engineering, drugs, better health care and proper family
life. Good performance in aviation industry, medicine, architecture, pharmacy and
others make the society appreciate the importance of Mathematics
education. In the secondary school
Mathematics curriculum, there are some concepts that are deemed difficult by
teachers to teach and students to learn. One of such concepts is statistics.
The main aim of Mathematics teaching is to promote the understanding of the
concept being taught with a view to applying the knowledge of such
understanding to real life situations.
Inspite
of all advantages derived and the recognition given to Mathematics as one of
the core science subjects and as a pivot to technological and economic
development, students’ performance in Mathematics has continued to record a
persistent and depressing downward trend as revealed in WAEC chief examiners
reports 2013, 2014, 2015, 2016, 2017, and 2018. The most prominent factor
responsible for student’s poor performance in Mathematics has been identified
to be the inability of the students to recall what had been learnt due to poor
teaching method employed by teachers. The use of appropriate teaching
strategies would enhance effective retention of facts for subsequent recall and
utilization. Therefore, in an era of significant global scientific and
technological change secondary school students in Nigeria need to be more adequately
prepared into the competitive working environment of the 21st
century. Students, therefore, need to be educated using varieties of pedagogies
which permit the development of other desirable skills and attribute. Some
methods used in teaching Mathematics do not seem to help in improving students’
academic achievement, retention and interest. It is therefore inevitable to
bring out other instructional strategies that could enhance effective teaching
and learning of Mathematics. The problem this study seeks to solve is to
investigate the effectiveness of MLS (CAL) and PBL teaching strategies in
enhancing students’ achievement, retention and interest in the concept of
statistics? Which of the learning strategies MLS and PBL would prove more
effective in facilitating students’ achievement, retention and interest in the
concept of statistics? The study attempts to find answers to these questions.
1.3 PURPOSE
OF THE STUDY
The purpose of the study was to investigate
the effects of CAL and PBL strategies on Students’ Academic Achievement,
Retention and Interest in Senior Secondary One (SS1) Mathematics Students.
Specifically the study seeks to:
1. Determine the effects of CAL, PBL and
Conventional Teaching Strategies on Students’ Academic Achievement in
Mathematics.
2. Determine the effects of CAL, PBL and
Conventional Teaching Strategies on Students’ Retention in Mathematics.
3. Ascertain the Effects of CAL, PBL and
Conventional Teaching Strategies on Students’ Interest in Mathematics.
4. Assess the Influence of Gender on
Students’ Achievement in Mathematics when taught with CAL, PBL and Conventional
Teaching Strategies.
5. Assess the Influence of Gender on
Student’s Retention in Mathematics when taught with CAL, PBL and Conventional
Teaching Strategies.
6. Assess the Influence of Gender on
Students’ Interest in Mathematics when taught using CAL, PBL and Conventional
Teaching Strategies.
7. Examine the combined Effects of
Teaching Strategies, Gender and Retention on Students’ Academic Achievement in
Mathematics.
8. Investigate the combined Effects of
Teaching Strategies, Gender and Students Interest on Students’ Academic
Achievement in Mathematics.
1.4 RESEARCH
QUESTIONS
The
following research questions are formulated to achieve the stated objectives:
1.
What are the Mean Achievement Scores of Students in Mathematics when
taught using CAL, PBL and Conventional Teaching Strategies?
2.
What are the Mean Retention Scores of Students in Mathematics when
taught using CAL, PBL and Conventional Teaching Strategies?
3.
What are the Mean Interest Scores of Students in Mathematics when
taught using CAL, PBL and Conventional Teaching Strategies?
4.
What are the Mean Achievement Scores of Male and Female Students in
Mathematics when taught using CAL, PBL and Conventional Teaching Strategies?
5.
What are the Mean Retention Scores of Male and Female Students in
Mathematics when taught using CAL, PBL and Conventional Teaching Strategies?
6.
What are the Mean Interest Scores of Male and Female Students in
Mathematics when taught using CAL, PBL and Conventional Teaching Strategies?
7.
What is the Combined Effect of Teaching Strategies (CAL, PBL and
Conventional) on Gender and Retention of Students’ Achievement in Mathematics?
8.
What is the Combined Effect of Teaching Strategies (CAL, PBL and
Conventional) on Gender and Interest on Students’ Achievement in Mathematics?
1.5 HYPOTHESES
The following null hypotheses (H0)
were tested at 0.05 level of significance guided the study.
Ho1: There
is no significant difference among the academic achievement of students in
Mathematics when taught using CAL, PBL and conventional teaching strategies.
Ho2: There
is no significant difference among students in the retention of Mathematics
when taught using CAL, PBL and conventional teaching strategies.
Ho3: There
is no significant difference among students’ interest in Mathematics when
taught using CAL, PBL and conventional teaching strategies.
Ho4: There
is no significant difference between the achievement of male and female
students in Mathematics when taught using CAL, PBL and conventional teaching
strategies.
Ho5: There
is no significant difference between the achievement of male and female
students in the retention of Mathematics using CAL, PBL and conventional
teaching strategies.
Ho6: There
is no significant difference between male and female students’ interest in
Mathematics when taught using CAL, PBL and conventional teaching strategies.
Ho7: There
is no significant interaction effect of teaching strategies, gender and
retention on students’ achievement in Mathematics when taught using CAL, PBL
and conventional teaching strategies.
Ho8: There
is no significant interaction effect of teaching strategies, gender and
interest on students’ achievement in Mathematics when taught using CAL, PBL and
conventional teaching strategies.
1.6 SIGNIFICANCE
OF THE STUDY
This study is
significant in that the findings will be of benefit to; the students, teachers,
parents, institutions, curriculum planners and educational bodies as discussed
below: the teaching strategies will provide students with opportunities to
think critically, present their own creative ideas, and communicate
mathematically with colleagues.
The teaching
strategies will also help teachers to understand students better, as they tend
to observe students more during group works. Teachers identify loopholes while
assessing students individually and thereby enable him/her to carry everyone
along.Multimedia in the classroom provides teachers with more tools to support
student’s resources like textbooks and worksheet, it equips teachers with
various tools to help students develop a better understanding of the materials.
Teachers who become expert at using multimedia in the classroom can advance
their career because more institutions seek educators who have experience in
using technology in the classroom.
The findings of this
study may benefit parents withchildren that are good in technological industry
of the country. It may benefit curriculum planners by including some computer
oriented practical courses into the senior secondary one curriculum as a way of
enhancing innovative and technological strategies into the school system for
better Nigeria.
It may benefit
institutions like universities, polytechnics and collages of education in
enhancing the quality of teaching and learning resulting from closer link
between teaching and research on the use of instructional materials such as
Computer Aided Learning (CAL) package as teaching strategies that can help to
demystify abstractness of some Mathematics topics in the higher institutions.
The findings of this study may also benefit examination bodies like WAEC, NECO
and NABTED in setting questions and making concrete illustrations in their
syllabus on some abstract Mathematics concepts on the use of teaching
strategies.
Finally, it may
provide empirical evidence for further research work to be carried out in other
subject areas as the way of enhancing teaching strategies for recommendation by
curriculum developers. In conclusion the Government may see the need to
organize workshops for Mathematics teachers on preparation and presentation of
e-learning packages and make e-leaning materials available in schools in
Nigeria.
1.7 SCOPE
OF THE STUDY
Senior
Secondary One Students (SS1) were involved in this study because the concept of
statistics was found in SS1 curriculum by the Federal Ministry of Education
(FME, 2014). The area of statistics addressed are data presentation which
include; collection, tabulation and presentation of data; frequency
distribution; line graph, bar graph, and histograms; pie chart; frequency
polygon. Multimedia Learning strategy on Statistics (MLS) was used in teaching
Statistics topics addressed in the research as Computer Aided Learning (CAL) as
the presentation of the package was done in Power Point environment by the
teacher and the students centered inquiry based approach called Problem Based
Learning. The study was carried out in AkwaIbom State of Nigeria.
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