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ENHANCING STUDENT’S MATHEMATICAL COMMUNICATION ABILITY USING AUDITORY, INTELLECTUALLY, AND REPETITION MODEL IN EIGHT GRADE SMP NEGERI 2 PANAI TENGAH ACADEMIC YEAR 2015/2016.

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ENHANCING STUDENT’S MATHEMATICAL COMMUNICATION ABILITY USING AUDITORY, INTELLECTUALLY, AND REPETITION MODELIN EIGHT GRADE

SMP NEGERI 2 PANAI TENGAH ACADEMIC YEAR 2015/2016

By:

MAHENDRA GALANG PRATAMA 4113312009

Mathematics Education Bilingual

THESIS

Submitted to Fulfill the Requirement for Getting the Degree of Sarjana Pendidikan

FACULTY OF MATHEMATICS AND NATURAL SCIENCES STATE UNIVERSITY OF MEDAN

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Research Title : Enhancing Student’s Mathematical Communication Ability Using Auditory, Intellectually, and Repetition Model in Eight Grade SMP Negeri 2 Panai Tengah Academic Year 2015/2016

Name : Mahendra Galang Pratama ID Number : 4113312009

Study Program : Bilingual Mathematics Education Program Major : Mathematics

Approved:

Thesis Supervisor

Dr. Izwita Dewi, M.Pd

ID. 19620706 198903 2 001

Mathematics Department, Bilingual Program,

Head Coordinator

Dr. Edy Surya, M.Si Dr. Iis Siti Jahro, M.Si

ID. 19671019 1992 03 1 003 ID. 19651015 1992 03 2 003

FMIPA UNIMED Dean,

Dr. Asrin Lubis, M.Pd ID. 19601002 1987 03 1004

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BIOGRAPHY

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ENHANCING STUDENT’S MATHEMATICAL COMMUNICATION ABILITY USING AUDITORY, INTELLECTUALLY, AND REPETITION MODEL

IN EIGHT GRADE SMP NEGERI 2 PANAI TENGAH ACADEMIC YEAR 2015/2016

Mahendra Galang Pratama (NIM. 4113312009)

ABSTRACT

This research aims to: (1) enhance student’s mathematical communication ability using Auditory Intellectually Repetition(AIR) model; (2) to describe learning activity enhancement through AIR model.

This research is a classroom action research (CAR) consists of two cycles with two meetings for each cycle. The subject is thirty students in grade VIII – 1 in SMP Negeri 2 Panai Tengah Academic Year 2015/2016. The object of this research is to enhance student’s mathematical communication ability on topic of Solid Polyhedron using Auditory Intellectually Repetition (AIR).

Data come from preliminary test, mathematical communication ability test at the end of each cycle and observation paper for each meeting. The preliminary test reveals that 20 of 30 students (66.67%) passes the test and average scores in preliminary test 64.58 is still low. At the end of cycle I using AIR model, it reveals that 22 of 30 students (73.33%) passes the test. At the cycle II, 26 of 30 students (86.67%) pass the test. It means that there is an enhancement of 13.34% from cycle I. The enhancement of student’s mathematical communication ability shown by Normalized Gain (g) is 0.50, in category Moderate and there is a difference between average scores in Cycle I (71.88) and Cycle II (78.47) or there is an enhancement of 6.57 on their average score. At the same time, there is an enhancement on teacher’s activity as provided through observation from 68% in Cycle I to 87% in Cycle II, in category Good. An enhancement of student’s activity also occurs from 67% in Cycle I to 86% in Cycle II, in category Good.

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ACKNOWLEDGMENT

Alhamdulillahirobbil’alamin, praise and thank to Allah SWT for all

blessings that this thesis finished well. This thesis entitled “Enhancing Student’s

Mathematical Communication Ability Using Auditory, Intellectually, and

Repetition Model in Eighth Grade SMP Negeri 2 Panai Tengah Academic Year

2015/2016”. This thesis is compiled to fulfill a partial requirement to achieve a

degree of Sarjana Pendidikan of Mathematics from Faculty of Mathematics and

Natural Sciences at State University of Medan.

A bulk of thanks submitted to Dr. Izwita Dewi, M.Pd as my supervisor for

guidance, instruction and all positive recommendation from the beginning to the

finishing of this thesis. Special thanks go to Prof. Dr. Edi Syahputra, M.Pd; Prof.

Dr. Pargaulan Siagian, M.Pd and Dr. Edy Surya, M.Si as examiners who give

suggestions and recommendations to the writing of this research. Thanks to

Rector of State University of Medan, Prof. Dr. Syawal Gultom, M.Pd as well to

his colleagues; Dr. Asrin Lubis, M.Pd, the former leader of Faculty of

Mathematics and Natural Sciences as well to his colleagues; Dr. Edy Surya, M.Si,

Head of Mathematics major; Drs. Zul Amry, M.Si, Ph.D, Head of Mathematics

Education Study Program; Drs. Yasifati Hia, M.Si, the Secretary of Mathematics

major. Thanks also to Mulyono, M.Si, Academic Supervisor and all teachers in

State University of Medan as well to all staff of administration who give

attentions and helps.

Special thanks also go to Drs. Indera Yuda Sungkowo, the Principal of

SMP Negeri 2 Panai Tengah; Evi Yanti Lubis, S.Pd, Mathematics Teacher in

SMP Negeri 2 Panai Tengah, all teachers and also staff of administration in SMP

Negeri 2 Panai Tengah for respect and care to the guidance while researching.

Infinitely special thanks to my lovely father and mother, Drs Indera Yuda

Sungkowo and Lilik Latifah, to motivate and pray for me, as well to my beloved

sister, Lendra Citra Defitri, who also supports and motivates me.

Necessary thanks for my friends in Mathematics major 2011, especially

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Yohannes (Jo), Ronny, Asifa, Elvi, Tika Mindari (Mbak Tika), Mawaddah, Leni,

Dwi Maulida Sari, Sapta Novita Nasution, Rizky Nurul Hafni (Aci), Widi

(Komting), Debby, Nelly, Ana, Verawati, Tari, Kristin, Samantha, Yernni,

Natalita, Dewi Bakara and Evan D. K. Simarmata; my PPL-mates in SMA Plus

Matauli Pandan (Lina, Amel, Timeh, Dyah, Dini, Yohana, Emung, Kristin, Evina,

Pocan, Topa, Intan, Ummy), and students in SMA Plus Matauli Pandan (Zul,

Candra, Noval, etc.); as well to my seniors and underwritten friends who support,

motivate and give the researcher positive suggestions.

This thesis has been written as super as possible, however there are still

conscious weaknesses and limit-nesses in content and grammars. Positive

suggestion and critics from readers are needed to more perfect thesis. May this

thesis useful and enrich knowledge.

Medan, June , 2016

Researcher,

Mahendra Galang Pratama

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2.1.3. Mathematical Communication 13

2.1.4. Mathematical Communication Ability 16

2.1.5. Cooperative Instructional Model 18

2.1.6. AIR Instructional Model 21

2.1.7. Syntax of AIR Instructional Model 23

2.1.8. Advantages and Disadvantages of AIR Instructional Model 24

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3.6.1. Mathematics Communication Ability Test 39

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4.3. Research Limitation 59

CHAPTER V CONCLUSION AND RECOMMENDATION 60

5.1. Conclusion 60

5.2. Recommendation 60

REFERENCES 61

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LIST OF FIGURE

Page

Figure 1.1 Sample of Student’s Sheet Answer Number 1 4

Figure 1.2 Sample of Student’s Sheet Answer Number 2 4

Figure 3.1 Classroom Action Research Process 31

Figure 4.1 Observation of Teacher's Activity 54

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LIST OF TABLE

Page

Table 2.1 Step of cooperative learning Model

Table 3.1 Description about Cycle I

Table 3.2 Description about Cycle II

Table 3.3 Scoring Guidelines Mathematical Communication

Test

Table 4.8 The Result of Mathematical Communication Ability Test II

Table 4.9 Indicator Based Test Result of Cycle II

Table 4.10 The Result of Mathematical Communication Ability

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Appendix 5 Student Activity Sheet I 83

Appendix 6 Student Activity Sheet II 87

Appendix 7 Student Activity Sheet III 91

Appendix 8 Student Activity Sheet IV 95

Appendix 9 Alternative Solution of Student Activity Sheet I 99

Appendix 10 Alternative Solution of Student Activity Sheet II 101

Appendix 11 Alternative Solution of Student Activity Sheet III 102

Appendix 12 Alternative Solution of Student Activity Sheet IV 104

Appendix 13 Repetition Test I 105

Appendix 14 Repetition Test II 106

Appendix 15 Repetition Test III 107

Appendix 16 Repetition Test IV 108

Appendix 17 Alternative Solution of Repetition Test I 109

Appendix 18 Alternative Solution of Repetition Test II 110

Appendix 19 Alternative Solution of Repetition Test III 111

Appendix 20 Alternative Solution of Repetition Test IV 112

Appendix 21 Preliminary Test Blueprint 113

Appendix 22 Mathematical Communication Ability Test Cycle I

Blueprint 114

Appendix 23 Mathematical Communication Ability Test Cycle II

Blueprint 115

Appendix 24 Preliminary Test Validation 116

Appendix 25 Test Validation Cycle I 120

Appendix 26 Test Validation Cycle II 124

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Appendix 28 Mathematical Communication Ability Test (cycle I) 129

Appendix 29 Mathematical Communication Ability Test (cycle II) 132

Appendix 30 Alternative Solution Of Preliminary Mathematics

Communication Ability Test 136

Appendix 31 Alternative Solution of Mathematical

Communication Ability Test (cycle I) 138

Appendix 32 Alternative Solution of Mathematical

Communication Ability Test (cycle I) 143

Appendix 33 The Criteria Scoring of Preliminary Test 149

Appendix 34 The Criteria Scoring of Mathematical

Communication Ability Test (cycle I) 150

Appendix 35 The Criteria Scoring of Mathematical

Communication Ability Test (cycle II) 152

Appendix 36 Teacher’s Observation Activity Cycle I 154

Appendix 37 Teacher’s Observation Activity Cycle II 157

Appendix 38 Student’s Observation Activity Cycle I 160

Appendix 39 Student’s Observation Activity Cycle II 162

Appendix 40 The List Name Student’s 164

Appendix 41 Data of Teacher’s Activity Observation Cycle I 165

Appendix 42 Data of Teacher’s Activity Observation Cycle II 167

Appendix 43 Data of Student’s Activity Observation Cycle I 169

Appendix 44 Data of Student’s Activity Observation Cycle II 170

Appendix 45 The Result Description of Preliminary Test 171

Appendix 46 The Result Description of Test Cycle I 172

Appendix 47 The Result Description of Test Cycle II 173

Appendix 48 Results of Data Test 174

Appendix 49 Indicator Based Test Result Of Cycle I 175

Appendix 50 Indicator Based Test Result Of Cycle II 176

Appendix 51 Indicator Based Test Result 177

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CHAPTER 1

INTRODUCTION

1.1 Background

Mathematics, among other subjects taught in every class from elementary

school to higher education, is a foundation and framework of sciences and

technologies to achieve the aim of education in our state. According to National

Ministry of Education No. 20 Year 2006, as noticed on May 23, 2006 for content

standard, mathematics should be taught for students through elementary school to

prepare them with thinking logically, analytically, systematically, critically, and

creatively, as well as able to work cooperatively. These competencies are crucial

to help someone inquiring, managing, analyzing, and implementing a bulk of

information to survive in a competitive era.

Indeed, Mathematics is a special and unique language. Its uniqueness

makes it called to be symbolic language (Usiski, in Hendiana and Soemarmo, 2014:12); Baron quoted that “A mathematician, like a painter or a poet, is a maker

of patterns. If his more permanent than theirs, it is because they are made of

ideas”. This means that mathematics is an efficient language; consistent; a

beautiful pattern and quantitatively analytic; universal and able to be understand

by every people whenever and wherever, which helps mathematics modeling to

solve daily problems and other branch of sciences.

According to Schoenfeld (Hendiana and Soemarmo, 2014: 3),

Mathematics, as a developing discipline, creates something to be logic, loads a

sequence of symbols and reasoning types related each other where the truth can be

achieved individually and collectively (mathematical society). This is explaining

that Mathematics is not solely a discipline, but also consisting of society

interaction in it. To Mathematics be growing and developing, mathematical

communication ability required; the aim is to communicate mathematical ideas to

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According to Baroody (Hendiana and Soemarmo, 2014: 30), there are two

reasons why Mathematics should be developed under the circumstance of

students: (1) mathematics as a language, not only a tool to aid thinking in problem solving and drawing conclusion, but also as a priceless tool to

communicate ideas clearly, precisely and accurately, (2) mathematics learning as social activity, as a social activity in class, interaction media among students and communication between teacher and students. Communication is required by

students to express their selves, create social interaction – network, and reform

their personalities. It also helps educators to understand student’s ability in

interpreting their understanding about what they learn in mathematics.

Mathematical communication ability is an essential mathematical ability in

high school unit education level curriculum, KTSP 2006. Hendriana and

Soemarmo (2014: 29) express that the aims of learning mathematics are: to

communicate ideas through symbols, tables, diagrams, or mathematical

expression to make a problem clear; to appreciate mathematics in its use daily; to

achieve curiosity, focus, and interest on learning mathematic as well as to achieve

hard work and confidence in problem solving. Along with school curriculum,

development of mathematical communication ability is also suitable to

mathematics core as an efficient language; consistent; a beautiful pattern and

quantitatively analytic; universal and able to be understand by every people

whenever and wherever, which helps mathematics modeling to solve daily

problems and other branch of sciences.

Over observation to this crucial ability, students are insisted to achieve it.

In fact, students in SMP N 2 Panai Tengah, especially in class VIII – 1, had low

achievement. This observation was conducted in January 2016, to the explanation

of how students feel difficult to solve the test of mathematical communication

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Indonesian Version English Version

(1) Perhatikan gambar berikut ini. (1) See this figure carefully.

a. Berdasarkan gambar tersebut

informasi yang dapat kamu

peroleh?

b. Susunlah kalimat matematika untuk menghitung banyak kubus satuan yang dibutuhkan untuk mengisi balok hingga penuh ?

c. Berapa banyak sisi - sisi kubus yang kelihatan setelah disusun memenuhi balok?

a. Based on the figure above, what information can you get?

b. Formulate a mathematical model to compute unit cubes needed to full the beam up.

c. How many sides of cube can be seen after the beam is full up by cubes?

(2) Bila tenda yang kamu lihat seperti gambar berikut,

(2) If you see a tent like this following picture,

a. Berdasarkan gambar tersebut

informasi yang diperoleh?

d. Coba kamu susun kalimat

matematika untuk hitung luas kain terkecil yang di perlukan!

e. Coba kamu susun kalimat

matematika untuk hitung volume ruang tenda itu!

a. Based on the picture, what information can you get?

b. Try to formulate a mathematical model to calculate the smallest area of cloth to create that tent!

c. Try to formulate a mathematical model to calculate the volume of the tent!

Dimasukkan ke dalam kerangka balok

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The answers were analyzed and at the time a result of some errors found

made by students. After checking problem (1), only 43.33% of the class was able

to connect the figure into mathematical ideas correctly, 60% of the class was able

in the indicator of formulating a mathematical model, and the rest of 3.33% of the

class could conclude with right but incomplete answer, 76.67% of the class had

wrong answer of conclusion and 6.66% was not answering. This picture is a

sample of student’s answer.

The answer shows that the student was not able to formulate mathematical

ideas into a correct model so he possessed wrong answer as he tried

communicating the idea through narrative explanation. This shows the ability of

the student is still low.

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Observing the problem (2), 66% of the class had been able to connect

figure into mathematical idea correctly, but in mathematical modeling, they

tended to struggle with difficulty: only 46% of the class mastered this indicator

although it was incomplete, and 76.67% of the class could conclude with their

own words (but still wrong), and 23.33% was not answering. This is a sample of

student’s answer.

After checking the Figure 1.2, it is seen that the student was obviously

wrong to identify the triangle’s height of prism base and the height of the prism

itself. Misunderstanding occurred when read figures and connect them into

mathematical ideas, so that they were not able to solve the problem, causing them

not able to create any argumentative solution. It shows what level of mathematical

communication they had, especially reading the figure and formulating a

mathematical model from a mathematical idea, which led them to some mistakes

to respond a problem argumentatively.

Tracking down the result of preliminary test of mathematical

communication, only 66.67% (20 students) of 30 students passed the minimum

score of 65 in SMP N 2 Panai Tengah. Meanwhile, the expected classical mastery

is 85%. In mathematical communication ability test, none of them in very good

level (score ≥ 90); 16.67% in good level, score ≥ 75; half of them in enough level,

score ≥ 65; and 33.33% is in low level. This fact shows the mathematical

communication ability of students in class 8 – 1 in SMP Negeri 2 Panai Tengah

A.Y. 2015/ 2016 is low in common.

A solution for urgent, therefore, is needed to overcome the mathematical

communication ability of students in SMP N 2 Panai Tengah class 8 – 1 A. Y.

2015/2016. In order to improve that ability, there is a need of efforts through

classroom action research collaborating with teacher to implement an innovative

learning model to create a conducive activity sequel and applicable in topic of

three dimensions.

Suryanto (Handayani, Pujiastuti, and Suhito, 2014) emphasized that

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method. This model is actually very similar to SAVI method, but the repetition

makes them two be different each other.

Maulana (Handayani, Pujiastuti, and Suhito, 2014) expressed that the AIR

model considered effective if applying three crucial points: Auditory, Intellectually and Repetition. Auditory means that the ears are to learn by understanding, speaking, presentation, argumentation or arguing, and responding.

Intellectually means that thinking ability must need some exercises of reasoning, creating, solving problem, constructing, and applying. Repetition is needed to learn deeper and wider; students are given some quizzes or other forms of

exercises. Those three points should motivate students to solve daily problems

through formulating into mathematical forms and of representing the result as

well as to construct mathematical communication ability of students.

The AIR model is expected being fit to apply in learning mathematics

(especially for three dimension flat faces) because this model uses all perceptions

of body; that it eases students to learn the topic abstractly. The implementation of

AIR model usually comes with teaching aids to support learning mathematics.

The teaching aids are suitable to apply on topic of three dimensions since they are

intertwined.

As have been written above, the researcher takes an interest to conduct a

class action research to reveal if the AIR model enhances student’s mathematical

communication ability to achieve the expected result of repairing student’s

achievements in learning mathematics, as an academic contribution to enhance

Indonesia’s education quality. Therefore, this research entitled “Enhancing

Student’s Mathematical Communication Ability using Auditory Intellectually

Repetition (AIR) Model in Class 8 SMP N 2 Panai Tengah Academic Year

2015/2016”.

1.2 Problem Identification

Based on the problem identification above, there are some identified

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1. Low level student’s mathematical communication ability in SMP N 2

Panai Tengah. This fact is shown by their difficulty to solve mathematical

communication problem in representing assertion of verbal, non verbal,

figure and graphic, proposing mathematical guessing, manipulating

mathematically, and drawing a conclusion from a mathematical assertion

to make the solution clear.

2. The focus of students when solving mathematical problems is on

mathematical formulas.

3. Disability of students to retrieve knowledge from teacher.

4. Less active students to solve the mathematical communication.

1.3 Problem Limitation

Conscious of self – ability, research background and the problem, this

research is limited in enhancing student’s mathematical communication ability

using Auditory Intellectually Repetition (AIR) model on topic of Solid Polyhedron

in Class 8 – 1 in the second semester of academic year 2015/2016.

1.4Problem Formulation

Based on the above problem, the problem formulation in this research are:

1. Is student’s mathematical communication ability enhanced after AIR

model?

2. How is the mathematics learning activity using AIR model?

1.5 Research Objective

The objectives of this research are:

1. to achieve enhancement of mathematical communication ability after

Auditory Intellectually Repetition (AIR) model.

2. to enhance mathematics learning activity in the classroom using AIR

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1.6 Research Advantages

This research gives advantages for:

1. The researcher himself, as a partial fulfillment of achieving degree in

UNIMED and as a medium to retrieve information and expand knowledge

about the implementation of Auditory Intellectually Repetition (AIR)

model as well as a preparation of a professional teacher.

2. Teacher, as a recommendation to use this AIR model in learning

mathematics.

3. Students; this research is to enhance their mathematical communication

ability, developing a mutual cooperative work, appreciating each other and

trusting each other in solving problems.

4. School; this research is to share a result of thinking and material for school

in order to enhance learning in schools.

1.7 Operational Definition

To avoid misunderstanding on some key terms in the problem formulation,

this operational definition is as follows:

1. Mathematical communication ability, especially written, is student’s

ability to connect pictures, tables, diagrams, and daily events in to

mathematical ideas, formulate mathematical ideas into mathematical

model, of using vocabulary, notions and structures of Mathematics to

express the relationships and ideas, and understand them to solve

mathematics problems.

Student’s mathematical communication ability, especially written,

occurs if student is able to:

a. Connecting some the picture, chart, daily event, etc in a

mathematical idea.

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c. Determine mathematical model by using mathematical language to

solve mathematics problems.

2. Auditory Intellectually Repetition (AIR) model is a learning model

considering learning is effective if involving three components:

b. Auditory

Auditory is a learning stage using tools, so students listen to

understand and memorize, learn to speak and listen, present, argue,

submit an opinion and respond.

c. Intellectually

Intellectually is learn to think, solving problem using minds on,

concentrating and training to use it through reasoning, investigating,

identifying, inventing, creating, constructing, solving problem and

applying.

d. Repetition

Repetition means to repeat, analyze, and improve by training students

through assignments and quizzes.

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CHAPTER V

CONCLUSION AND RECOMMENDATION

5.1 Conclusion

From learning activity result carried out for those two cycles and

according to the discussion and analysis, there are some conclusions drawn on the

implementation of AIR model in mathematics learning on topic of Solid

Polyhedroan in Class 8 SMP N 2 Panai Tengah Academic Year 2015/2016:

1. The research result shows that AIR model can enhance student’s

mathematical communication ability. The proof is based on mathematical

communication ability test: classical learning mastery enhances 13.33%

from cycle I to cycle II, and supported by normalized gain of 0.50 in

Moderate category. The test average score in cycle I is 71.88 with learning

mastery of 73.33% and the test average score is 78.47 in cycle II with

learning mastery of 86.67% so that gives enough classical learning mastery

to pass.

2. The research result shows that AIR model can enhance student’s activity.

The proof is based on student’s activity observation data: from total score of

36, score 24 in cycle I or 67% of activity indicator; score 31 in cycle II or

86% of activity indicator showing an enhancement of 19%. In the interval,

student’s activity in cycle II is between 80% to 90% or Good category.

5.2 Recommendation

The researcher writes these following recommendations:

1. Teacher should implement AIR model to teach topic of Solid Polyhedron

because this model fits to teach mathematical communication in this topic.

2. AIR model is necessarily implemented on other topics to achieve a clearer

description on connectivity of daily life and the topic that has been learnt.

3. The repetition phase should be emphasized to strengthen students to learn

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REFERENCES

Ansari, Bansui.I, (2012). Komunikasi Matematik dan Politik, Pena, Banda Aceh Burhan, Arini Viola , Suherman, Mirna (2014) Penerapan Model Pembelajaran

Air Pada Pembelajaran Matematika Siswa Kelas Viii Smpn 18 Padang Vol. 3 No. 1: jurnal Pendidikan Matematika, Part 1 Hal. 6-11

Depdikbud, (2002), Kamus besar Bahasa Indonesia, Ed ke-2, Balai Pustaka, Jakarta

Handayani, I.M. Pujiastuti,E, dan Suhito,(2014), keefektifan Auditory Intellectually Repetition Berbantu LKPD terhadap Kemampuan Penalararan Peserta Didik SMP, Jurnal Kreano, ISSN : 2086-2334

Hardiyanti, I. G. A.D., Wahyuni, D. S. , Darmawiguna, I. G. M., (2013) Pengaruh Penggunaan Model Pembelajaran Auditory Intellectually Repetition (AIR) Terhadap Hasil Balajar Siswa Kelas X, Kumpulan Artikel Mahasiswa Pendidikan Teknik Informatika (KARMAPATI), ISSN 2252-9063

Hendiana, Heris, Suemarnmo, Utari, (2014), Penilaian Pembelajaran Matematika, PT Refika Aditama, Bandung

Pasaribu, Tiona Feri, (2013), Upaya Meningkatkan Kemampuan Pemecahan Masalah Matematika Siswa Dengan Penerapan Teori Vygotsky Pada Materi Geometri Di Smp Negeri 3 Padang sidimpuan, Edumatica Volume 03 Nomor 01, April 2013, ISSN: 2088 – 2157

Peraturan Mentreri Pendidikan Nasional Republik Indonesia No 22 Tahun 2006 Tentang Standar Isi Satuan Pendidikan Dasar Dan Menengah

Purwanto, (2011), Evaluasi Hasil Belajar, Puataka Pelajar, Yokyakarta Suhardjono, (2010), Penelitian Tindakan Kelas, PT.Bumi Aksara, Jakarta.

Suherman, Erman, (2001), Strategi Evaluasi Proses dan Hasil Belajar Matematika, Universitas terbuka, Depdikbud, Jakarta.

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Sulastri, (2014). Perbedan kemampuan komunikasi matematika siswa yang diajar dengan model pembelajaran kooperatif tipe TPS dan pembelajaran Konvensional pada kelas VIII SMP Yapim Namorambe T.A 2013/2014. Skripsi, FMIPA UNIMED, Medan

Supardi, (2010), Penelitian Tindakan Kelas, PT.Bumi Aksara, Jakarta.

Supraidie, (2012). Penrepanan pembelajaran kooperatif TPS dengan group Investigation (GI) Menggunakan media kartu kata untuk meningkatkan hasil belajar siswa pada pokok bahasan struktur atom. Skripsi, FMIPA UNIMED, Medan

Sutikno, S., (2013), Belajar dan Pembelajaran “Upaya Kreatif dalam Mewujudkan Pembelajaran yang Berhasil”, Holistica, Lombok

Richard R. Hake, (1998) Interactive-Engagement Versus Traditional Methods: A Six-Thousand-Student Survey Of Mechanics Test Data For Introductory Physics Courses, American Journal of Physics, Doi: 10.1119/1.18809 Suryanti, Abduh H. Harun, dan Dwi Septiwiharti, (2013) Meningkatkan Hasil

Belajar Siswa Kelas II SDN I Kayu Agung dalam Pembelajaran PKn dengan Menggunakan Media Gambar, Jurnal Kreatif Tadulako Online Vol. 1 No. 3, ISSN: 2354-614X

Trianto. (2009), Mendesain Model Pembelajaran Inovatif – Progresif : Konsep, Landasan, dan Implementasinya pada Kurikulum Tingkat Satuan Pendidikan (KTSP), Kencana, Jakarta

Gambar

Figure 1.1  Sample of Student’s Sheet Answer Number 1
gambar tersebut
Figure 1.1 Student’s answer for problem  1
figure into mathematical idea correctly, but in mathematical modeling, they
+2

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