3.8 Level of Problem Solving Skill of Student in Mathematic Problem
35
CHAPTER IV RESULT AND DISCUSSION
4.1 The Result of Problem Solving ability 4.1.1 Post Test of First and Second Experment Classes
4.1.2 Data Normality Test 4.1.3 Data Homogeniety Test
4.1.4 Hypothesis Testing 4.1.5 Level of Problem Solving Ability of students in Mathematics
36 36
37 37
38 38
4.2 Observation result 39
4.2.1 Student observation sheet 39
4.2.2 Teacher observation sheet 40
4.3 Discussion of research result 41
4.3.1 Discussion of Students Mistake for problem solving 4.3.1.1 For the first Experiment Class Using Contextual Teaching and
Learning CTL Approach 4.3.1.2 For the second Experiment Class Using direct instruction
42 42
44
CHAPTER V CONCLUSION AND SUGGESTION
5.1 Conclusion 46
5.2 Suggestion 47
REFERENCES 48
APPENDIX 50
FIGURE LIST
Page Figure 2.1 Interaction between element and contextual learning
19 Figure 2.2 Instructional outcomes for direct instruction
19 Figure 2.3 Example of Cylinder
22 Figure 2.4 Net of Cylinder
22 Figure 4.1 Level of Problem Solving
39 Figure 4.2 Student Mistake for arranging Strategy using CTL Approach
42 Figure 4.3
Student’s Mistake in Implementing the Planning 43
Figure 4.4 Mistakes for reevaluating all steps have done 44
Figure 4.6 Mistakes in Arranging Planing problem solving 44
Figure 4.7 Mistakes in Implementing the Planning 45
Figure 4.8 Mistakes Reevaluating all steps that have done 45
TABLE LIST
Table 2.1 Difference between direct instruction and CTL approach Page
20 Table 3.1 Research Design
26 Table 3.2 Blue print post test of volume and surface area cylinder
28 Table 3.3 Scoring of problem solving
29 Table 3.4 Ideal score for teacher activities
31 Table 3.5 Ideal score for students’ activities
32 Table 3.6 Criteria of Students Mastering Level
35 Table 4.1 Post test result of the first and second experiment classes
36 Table 4.2 Result of Normality Testing
37 Table 4.3 Result of Homogeneity Testing
37 Table 4.4 Result of Hypothesis Testing
38 Table 4.5 Level of problem solving ability of two classes
38 Table 4.6 Summary students’ observation sheet
40 Table 4.97Summary teacher observation sheet
41
APPENDIX LIST
Appendix 1 First Lesson Plan for Experiment Class I Page
51 Appendix 2 Second Lesson Plan for Experiment Class I
60 Appendix 3 First Lesson Plan for Experiment Class II
66 Appendix 4 Second Lesson Plan for Experiment Class II
69 Appendix 5 Student Activity sheet Surface area of Cylinder
72 Appendix 6 Student Activity sheet Volume of Cylinder
76 Appendix 7 Hint of scoring problem solving ability
79 Appendix 8 Blue Print of Post-test
80 Appendix 9 Post Test Question
81 Appendix 10 Alternative Solution of Post-test
83 Appendix 11 Validator Evaluation Sheet
87
Appendix 12 Observer Evaluation Sheet 88
Appendix 13 Observation Sheet of Teacher Activities CTL 90
Appendix 14 Observation Sheet of Teacher Activities DI 92
Appendix 15 Observation Sheet of Students Activities CTL 94
Appendix 16 Observation Sheet of Students Activities DI 95
Appendix 17 Validator Names 96
Appendix 18 Validation Analysis of Validator Agreement for Post test 97
Appendix 19 Realibity Analysis of Post Test 99
Appendix 20 Post Test For First Experiment Class CTL 101
Appendix 21 Post Test For Second Experiment Class DI 102
Appendix 22 Post Test Mark for 1
st
and 2
nd
experiment classes 103
Appendix 23 Data Experiment Class I CTL 104
Appendix 24 Data Experiment Class II DI 105
Appendix 25 The Calculation procedure average, Variance and Standard Deviation of 1
st
and 2
nd
experiment classes 106
Appendix 26 Calculation of Normality Testing 108
Appendix 27 Calculation of HomogenietyTesting 111
Appendix 28 Research Documentation 114
CHAPTER I INTRODUCTION
1.1 Background
Education is one way to realize quality of society, especially preparing the excellent society for their competence. However, there are a lot of opinions
the quality of education in Indonesia still low. As Irham Nasution Waspada newspaper, February, 2
nd
2012 from survey show that our education is far from the expectation, such as Education for All EFA Global Monitoring Report 2011,
which had been launched by UNESCO, was in 65. Then, decreases to the 69 of 127 countries surveyed.
Nowdays, Mathematics is means the unity of knowledge, understanding, and human skill that are needed effectivelly in modren life. The expectation of
graduate school that was critical, sistematical, reasonable, creative and cooperative.
There are some reasons concerning learning importance and mathematics mastery that is important for students. Mathematics belongs to development of
other sciences. It also is relates to the problem solving in daily life. The
mathematics usefulness in daily life such as counting of contents and weight, collecting, processing, presenting and interpreting data use calculators and
computers. In addition, in order to be able to follow further mathematics, to help
the understanding of other subjects such as physics, chemistry, architecture, pharmacy, geography, economics, and others. And no expectation to the students
to think logical, critical, and practical, positive attitude and creative spirit. A lot of articels in newspaper, internet and seminars. The opinion
regarding efforts to improve quality of mathematics education today also there is no improvement. As the one told by Bahrul and Suhendra 2010:42 that :
Sampai beberapa tahun yang lampau, pendidikan dianggap sebagai suatu sarana guna memberikan pembekalan keilmuan serta keterampilan dalam
matematika yang dibutuhkan dalam penghidupan secara financial dan profesi semata. Akibatnya, kita dapat amati bahwa pada masa lampau
– mungkin juga berjalan sampai sekarang pendidikan matematika sekolah dasar di Indonesia
menekankan banyak sekali pada operasi bilangan.
Related with condition above that our mathematics education in primary till juniorsenior level just think about numbers. Next, Bahrul dan Suhendra
2010:42 that: “Persepsi bahwa matematika adalah kumpulan bilangan yang harus
dioperasikan menyebabkan munculnya ketakwajaran dalam konteks matematika yang dibawa ke dalam kelas. Akibatnya, sering kita dengar soal matematika yang
terlalu “dipaksakan”, contohnya soal tentang meminta anak menjumlahkan umur suatu planet dengan umur planet lain. Kemudian, keterampilan berhitung mental,
yaitu tanpa pensil dan kertas menjadi segala – segalanya dalam pendidikan
matematika kita dahulu. Kecepatan berhitung menjadi indicator utama kepiawaian seorang dalam
matematika.” Teaching and learning are two concepts that cannot be separated from
others. Learning show what should be done as a lesson recipient students, while teaching shows what should be done by teacher. So, learning is a process of
interaction between teachers and students during teaching process. The successful of teaching process will be influenced by the ability of teacher to determine
methods and tools is used teaching and also determined by interest of students. The problem solving ability is low. It is caused some factors between
students, teacher, learning method, or enviroment as related to another. That thing is as according to statement of Marjohan 2009:13 that :
“ The characteristics conventional teaching is very evident the interaction teacher - students in the
classroom. One of them is oauthoritatian apporoach. Therefore, the students must have
received what teacher saying.” In addition, mathematics achievement of students also is influenced by
less participation students in classroom. That makes bloced students to solve this situation. The difficulties of most problem application in mathematics are not lies
calculation, but rather than knowledge how to make clarify problem and can be solved.
Nowdays, mathematics expectation is facilities students can rediscover the formula by guide re-inventon. As mathematician discoverer, to find formula
and theory in learning mathematics is problem solving very important. As stated Tran Vui in Depdiknas: 2004: 9 Problem Solving is put forth as a major method
and goal.