THE IMPLEMENTATION OF PROBLEM BASED LEARNING
MODEL THROUGH GROUP INVESTIGATION IN
MATHEMATICS LEARNING VIEWED FROM STUDENT’S
ADAPTIVE REASONING IN SMP NEGERI 1 SURAKARTA
RESEARCH PAPER
Submitted as Partial Fulfillment of The Requirements for Getting Bachelor Degree of Education
in Mathematics Department
by :
APRILIA ARISTIYANI A 410 090 258
SHOOL OF TEACHER TRAINING AND EDUCATION MUHAMMADIYAH UNIVERSITY OF SURAKARTA
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MOTTO
Which then of the bounties of your Lord will you deny ?
(Q.S. Ar-Rahman : 13)
I swear by the time, most surely man is in loss, except those who believe and do good, and enjoin on each other truth, and enjoin on each other patience.
(Q.S. Al Ashr : 1-3)
Science is better than wealth. Science will keep you and you keep wealth. Science id punisher (judge), whereas the condemned wealth. If the wealth shall be reduced
when spent, but the science will increase when done.
(Sayyidina Ali bin Abi Thalib)
Science without religion is lame, religion without science are blind.
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DEDICATION
Alhamdulillahi Robbil ‘Alamiin, praise to Allah SWT, He has all the soul, by
the mercy and the the gift of Him this research can be completed. I gratefully
dedicate this research paper to :
1. Her beloved mom, mom, mom, my inspiration, the soul still always give
love, passion, and the sweet memories which engraved in my heart
beautifully. Mom… your pleasure is God’s blessing to me. She leave you in
Allah ta’ala.
2. Her beloved father, who gives the researcher love, advice, support in her
study. Thank you for your hard work and prayers during this time.
Hopefully in the hereafter your daughter can give you a beautiful crown “my
father and my mom”.
3. Her lovely sister Wury Wulandhony, thanks for support, pray and laughter. 4. Her lovely nephew Verda Hafidhah Rahmadhony, thanks for jokes in times
of fatigue. May Allah make you little angel in paradise later.
5. All of the lecturers of Mathematics Laboratory, thanks for precious
knowledge given to the researcher.
6. Her collaborations friend of this research Ike Zetti, thanks for your
cooperation and spirit as a friend to exchange ideas in this research.
7. Her friends in Mathematics RSBI class, International Islamic Boarding
School KH. Mas Mansyur, Mathematics Laboratory Assistant, HMP of
Mathematics, ISO, thanks for coloring the day, love, support, friendship,
vii
ACKNOWLEDGMENT
Assalamualaikum Wr.Wb.
Alhamdulillahirobbil’alamin, praise and gratitude for Allah SWT, the
Glorious, the Lord, and the All Mighty, who has given opportunity and bless for
the researcher to finish the research paper entitled “The Implementation of Problem Based Learning Model through Group Investigation in Mathematics Learning Viewed from Student’s Adaptive Reasoning in SMP Negeri 1 Surakarta”
as the requirement for getting bachelor degree of education in Mathematics
Department of Muhammadiyah University of Surakarta.
Peace is upon to Muhammadiyah SAW, the last messenger of Allah, who
be hero for all his followers in the life after. The researcher realizes that this
researcher paper would never been possible without other people’s help, so that
the writer would like to express her gratitude and appreciation to:
1. Drs. H. Sofyan Anif, M.Si., the Dean of the School of Teacher Training and
Education of Muhammadiyah University of Surakarta.
2. Dra. Sri Sutarni, M.Pd., the Chief of Mathematics Department who gave the
agreement for the writer’s research paper title.
3. Dra. Nining Setyaningsih, M.Si., as the consultant and counselor who has
given a valuable guidance and suggestion during the completion of this
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4. Mr. Syakuri, as the consultant, for being good consultant and giving the
researcher suggestion in correcting of grammar writing this research paper.
5. Dra. Hj. Sri Suwartinah, M.Pd and Pudjiastuti, S.Pd, as the principal and
mathematics teacher of SMP Negeri 1 Surakarta who have given permission
and the opportunities in the implementation of the study.
6. Students of class VIII A and VIII B in SMP Negeri 1 Surakarta who are
willing to be the subject of research, thank you for your cooperation.
7. All parties who may not enumerated which have helped in completing this
research.
Finally, the researcher realizes that this research paper is still far from
being perfect, so all suggestions and criticism for improving this research are
accepted widely and happily. Hopefully, this research paper useful for the readers
and prospective researchers.
Wassalammualaikum Wr. Wb.
Surakarta, March 2013
xii
LIST OF FIGURE
Page
Figure 2.1 Experiment to Find the Formula of Area of Circle ... 14
Figure 2.2 Circle ... 15
Figure 2.3 The Research Paradigm ... 17
Figure 4.1 Histogram of Student’s Achievement Mathematics
in Control Class ... 46
Figure 4.2 Histogram of Student’s Achievement Mathematics
in Experiment Class ... 48
Figure 4.3 Histogram of Student’s Adaptive Reasoning
in Control Class ... 49
Figure 4.4 Histogram of Student’s Adaptive Reasoning
In Experiment Class ... 51
Figure 4.5 The Average of Student’s Mathematics Achievement
in Experiment and Control Class viewed from
xiii
Table 4.2 Frequency Distribution of Mathematics Achievement in Control Class ... 46
Table 4.3 Frequency Distribution of Mathematics Achievement In Experiment Class ... 47
Table 4.4 Frequency Distribution of Student’s Adaptive Reasoning in Control Class ... 49
Table 4.5 Frequency Distribution of Student’s Adaptive Reasoning in Experiment Class ... 50
Table 4.6 The Data of Student’s Adaptive Reasoning based on Criteria ... 52
Table 4.7 The Analysis Result of Normality Test ... 53
Table 4.8 The Analysis Result of Homogeneity Test ... 54
xiv
Table 4.10 The Summary of Analysis of Multiple Comparison Test
Between Columns ... 56
Table 4.11 The Average of Mathematics Achievement in Experiment and Control
xv
Appendix 6 The Lattice of Questionnaire of Student’s Adaptive Reasoning (Tryout) ... 75
Appendix 7 Questionnaire of Adaptive Reasoning ... 77
Appendix 8 Answer Sheet ... 82
Appendix 9 The Lattice of Achievement Test (Tryout)... 83
Appendix 10 Achievement Test (Tryout) ... 84
Appendix 11 Key Answers of Achievement Test (Tryout) ... 87
Appendix 12 Guidelines Scoring of Achievement Test ... 91
Appendix 13 Validity and Reliability of Adaptive Reasoning Questionnaire (Tryout) ... 92
Appendix 14 Validity and Reliability of Achievement Test (Tryout) ... 94
Appendix 15 Lesson Plan of Problem Based Learning Model through Group Investigation ... 95
Appendix 16 Learning Material of First Meeting ... 104
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Appendix 18 Group Assignment of First Meeting ... 106
Appendix 19 Group Assignment of Second Meeting ... 108
Appendix 20 Discussion Material I ... 111
Appendix 21 Discussion Material II ... 112
Appendix 22 Key Answers of Discussion Material I... 113
Appendix 23 Key Answers of Discussion Material II ... 116
Appendix 24 The Master Data of Research ... 118
Appendix 25 Normality Test ... 125
Appendix 26 Homogeneity Test ... 133
Appendix 27 Hypothesis Test ... 137
Appendix 28 Multiple Comparison Test ... 143
Appendix 29 Documentation ... 146
Appendix 30. Surat Ijin Riset ... 147
Appendix 31. Surat Keterangan Penelitian ... 148
xvii
SUMMARY
APRILIA ARISTIYANI. A410090258. THE IMPLEMENTATION OF PROBLEM BASED LEARNING MODEL THROUGH GROUP INVESTIGATION IN MATHEMATICS LEARNING VIEWED FROM STUDENT’S ADAPTIVE REASONING IN SMP NEGERI 1 SURAKARTA. RESEARCH PAPER. MUHAMMADIYAH UNIVERSITY OF SURAKARTA. 2013.
The purpose of this research is to analyze: (1) the influence of the use of problem based learning model through group investigation to student’s mathematics achievement, (2) the influence of adaptive reasoning ability to student’s mathematics achievement, (3) the interaction between the use of problem based learning model through group investigation and adaptive reasoning ability to student’s mathematics achievement. This research uses an experimental research. The populations are all students of grade VIII of 2012/2013 academic year in SMP Negeri 1 Surakarta. Samples taken in this research as many as two classes, consist of VIII B as experiment class with 27 students and VIII A as control class with 28 students. The sampling technique used in this research is cluster random sampling. Data collection methods used are questionnaire method, method of test and documentation method. Data analysis techniques use two ways analysis of variance with unequal cells, a prerequisite test used the Lilliefors method to normality test and the Barlett method to homogeneity test. From the analysis of data with 5% of significant level, it is satisfied that : (1) there is no influence of the use of problem based learning model through group investigation to student’s mathematics achievement with FA = 3,33, (2) there is the influence of
adaptive reasoning ability to student’s mathematics achievement with FB = 6,54,
and (3) there is no interaction between the use of problem based learning model through group investigation and adaptive reasoning ability to student’s mathematics achievement with FAB = 0,16.
Key Words: Problem based Learning, Group Investigation, adaptive reasoning.
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TABLE OF CONTENT
Page
TITLE ... i
APPROVAL ... ii
ACCEPTANCE ... iii
TESTIMONY ... iv
MOTTO ... v
DEDICATION ... vi
ACKNOWLEDGMENT ... vii
TABLE OF CONTENT ... ix
LIST OF FIGURE ... xii
LIST OF TABLE ... xiii
LIST OF APPENDIXS ... xv
SUMMARY ... xvii
CHAPTER I: INTRODUCTION A. Background of the Study ... 1
B. Identification of Problem ... 4
C. Limitation of Probelm ... 4
D. Problem Formulation ... 5
E. Objectives of the Study ... 5
x
CHAPTER IV: RESEARCH FINDING AND DISCUSSION A. The Implementation of Research ... 42
B. Data Description ... 45
C. Prerequisites Analysis Test ... 52
D. Hypothesis Test ... 54
xi
CHAPTER V: CONCLUSIONS, IMPLICATIONS AND SUGGESTIONS
A. Conclusions ... 62
B. Implications ... 63
C. Suggestions ... 64
BIBLIOGRAPHY ... 65
