scholarly journals PROJECT-BASED LEARNING - LITERACY IN IMPROVING STUDENTS’ MATHEMATICAL REASONING ABILITIES IN ELEMENTARY SCHOOLS

2020 ◽  
Vol 4 (1) ◽  
pp. 39
Author(s):  
Zaenal Abidin ◽  
Arif Cahyo Utomo ◽  
Vira Pratiwi ◽  
Laely Farokhah
Keyword(s):  
Mathematical Reasoning ◽  
Mathematics Learning ◽  
Real Life ◽  
Learning Model ◽  
Project Based Learning ◽  
Control Group ◽  
School Students ◽  
Reasoning Abilities ◽  
Equivalent Control ◽  
Conceptual Relationships

The lower mathematical reasoning abilities of elementary school students are the background of this research. This happens because students have not been properly facilitated to develop the ability mathematical of reasoning. Mathematics learning can develop reasoning ability well because mathematics learning has systematic concepts and conceptual relationships. This will have an impact on logical, systematic and rational ways of thinking. Therefore, teachers must be able to choose learning models that can facilitate the ability of mathematical reasoning. One learning model that can be used is the literacy project-based learning model. This study aimed to determine the effectiveness of improving the ability of mathematical reasoning students who obtain literacy project-based learning. The design of this research was used pretest-posttest non-equivalent control group.  Based on research results, conclusions can be drawn about the effectiveness of learning that includes n-gain, minimum completeness criteria, and mastery learning. Literacy project-based learning has been effective in facilitating reasoning abilities. That is because literacy project-based learning can present contextual material with literacy works that are made and invited to carry out the process of thinking about the use of mathematical contexts in daily life. Furthermore, students can connect mathematical material with real-life contexts and can make reasoning to interpret learning well.

scholarly journals Pembelajaran Project Based Learning – Literasi Dalam Meningkatkan Kemampuan Penalaran Matematis Siswa Di Sekolah Dasar

2020 ◽  
Vol 1 (1) ◽  
pp. 30-36
Author(s):  
Zaenal Abidin ◽  
Arief Cahyo Utomo ◽  
Vira Pratiwi ◽  
Laely Farokhah
Keyword(s):  
Mathematical Reasoning ◽  
Mathematics Learning ◽  
Real Life ◽  
Learning Model ◽  
Project Based Learning ◽  
Control Group ◽  
School Students ◽  
Reasoning Abilities ◽  
Equivalent Control ◽  
Conceptual Relationships

Abstract The lower mathematical reasoning abilities of primary school students are the background of this research. This happens because students have not been properly facilitated to develop the ability of mathematical reasoning. Mathematics learning can develop reasoning ability well because mathematics learning has systematic concepts and conceptual relationships. This will have an impact on logical, systematic, and rational ways of thinking. Therefore, teachers must be able to choose learning models that can facilitate the ability of mathematical reasoning. One learning model that can be used is the literacy project-based learning model. This study aimed to determine the effectiveness of improving the ability of mathematical reasoning students who obtain literacy project-based learning. The design of this research was used pretest-posttest, non-equivalent control group.  Based on research results, conclusions can be drawn about the effectiveness of learning includes n-gain, minimum completeness criteria, and mastery learning. Literacy project-based learning has been effective in facilitating reasoning abilities. That is because literacy project-based learning can present contextual material with literacy works that are made and invited to carry out the process of thinking about the use of mathematical contexts in daily life. Furthermore, students can connect mathematical material with real-life contexts and make reasoning to interpret learning well. Keywords: PJBL, Literacy, Reasoning Mathematics.   Abstrak Kemampuan penalaran matematika siswa sekolah dasar yang sangat adalah latar belakang penelitian ini. Hal tersebut terjadi karena siswa belum difasilitasi dengan baik untuk mengembangkan kemampuan penalaran matematika. Pembelajaran matematika dapat mengembangkan kemampuan penalaran dengan baik karena pembelajaran matematika memiliki konsep sistematis dan hubungan konseptual. Hal tersebut berdampak pada cara berpikir logis, sistematis dan rasional. Oleh karena itu, guru harus dapat memilih model pembelajaran yang dapat memfasilitasi kemampuan penalaran matematika. Salah satu model pembelajaran yang dapat digunakan adalah model pembelajaran Project Based learning – Literasi. Penelitian ini bertujuan untuk mengetahui efektivitas peningkatan kemampuan penalaran matematis siswa yang memperoleh pembelajaran Project Based learning – Literasi. Desain penelitian ini menggunakan pretest-posttest non-equivalent control group. Berdasarkan hasil penelitian, kesimpulan dapat ditarik tentang efektivitas   pembelajaran yang mencakup n-gain, kriteria ketuntasan minimum, dan penguasaan pembelajaran. Pembelajaran Project Based learning – Literasi telah efektif dalam memfasilitasi kemampuan penalaran. Hal tersebut dikarenakan pembelajaran Project Based learning – Literasi dapat menyajikan materi kontekstual dengan karya-karya Literasi yang dibuat dan dituntut untuk melakukan proses berpikir tentang penggunaan konteks matematika dalam kehidupan sehari-hari. Selain itu, siswa  dapat menghubungkan materi matematika dengan konteks kehidupan nyata dan dapat membuat alasan untuk menafsirkan pembelajaran dengan baik. Kata kunci: Project Based learning, Literasi, Penalaran Matematika.

Pengaruh Pendekatan Matematika Realistik Terhadap Kemampuan Penalaran Matematis Dalam Pembelajaran Matematika

2019 ◽  
pp. 60-74
Author(s):  
Imelda Simorangkir
Keyword(s):  
Junior High School ◽  
Mathematical Reasoning ◽  
Mathematics Learning ◽  
Student Response ◽  
Control Group ◽  
Control Group Design ◽  
Reasoning Abilities ◽  
Quasi Experimental ◽  
Equivalent Control ◽  
Linearity Test

The purpose of this study was to look at the effect of realistic mathematics learning on students 'reasoning abilities and to determine students' responses to mathematics learning with realistic mathematical approaches and their relation to mathematical reasoning abilities. This research was conducted at YPAK Galang of Junior High School at 2017/2018 Academic Year. The method used in this study is a quasi-experimental method with the design of Non Equivalent Control Group Design. The sample in this study was 64 students consisting of 32 students for the experimental group and 32 students for the control group. The data analysis technique used in this study is a regression test. Based on the calculation of hypothesis regression linearity test (i) Ha is accepted and Ho is rejected because F_count < F table is -44.40 < 1.88 then the regression form is linear, and for testing the significance of hypothesis regression (ii) Ha is accepted and Ho is rejected because of Fcount > Ftable that is 44.402 > 3.96 means that there is a relationship of variable (X) to varabel (Y). Data collection techniques in the form of a questionnaire consisting of 14 items statement. Based on the calculation of questionnaire data on students 'responses to realistic mathematical learning, the percentage of students' responses that stated yes was 75.38% and the percentage of responses that stated was not 24.62%. This shows that the student response questionnaire is positive.

scholarly journals Pembelajaran Search, Solve, Create and Share (SSCS) untuk Meningkatkan Pemahaman Konsep dan Disposisi Matematis Siswa

2020 ◽  
Vol 4 (1) ◽  
pp. 97
Author(s):  
Isna Rafianti ◽  
Khairida Iskandar ◽  
Lilis Haniyah
Keyword(s):  
Mathematics Learning ◽  
Learning Model ◽  
Control Group ◽  
Homogeneity Test ◽  
Learning Models ◽  
Mathematical Concepts ◽  
Control Group Design ◽  
Group Design ◽  
Equivalent Control ◽  
Mathematical Dispositions

Penelitian ini dilatarbelakangi oleh rendahnya hasil belajar matematika siswa di Indonesia. Hal ini disebabkan  oleh  beberapa  faktor,  diantaranya  adalah  rendahnya  kemampuan  pemahaman  konsep matematis dan didukung oleh rendahnya disposisi matematis siswa yaitu apresiasi terhadap pembelajaran matematika. Salah satu upaya untuk meningkatkan kemampuan pemahaman konsep matematis dan disposisi matematis siswa adalah dengan menggunakan model pembelajaran Search, Solve, Create and Share  (SSCS)  yang  menjadikan  siswa  mandiri,  aktif  dan  fokus  dalam  pembelajaran  matematika. Penelitian ini bertujuan untuk mengetahui peningkatan kemampuan pemahaman konsep matematis dan disposisi matematis siswa dengan menggunakan model SSCS dalam pembelajaran matematika. Penelitian ini menggunakan metode quasi eksperimen dengan desain non-equivalent control group design. Subyek penelitian ini adalah kelas VIII C (eksperimen) dan VIII D (kontrol) semester 2 SMPN 2 Kota Serang. Instrumen yang digunakan dalam penelitian ini adalah soal tes kemampuan pemahaman konsep matematis dan skala disposisi matematis. Data hasil penelitian ini dianalisis menggunakan uji normalitas, uji homogenitas, uji perbedaan rata-rata. Kesimpulan dari penelitian ini adalah kemampuan pemahaman konsep matematis siswa yang menggunakan model pembelajaran SSCS lebih baik dari siswa yang menggunakan model pembelajaran konvensional. Disposisi matematis yang menggunakan model pembelajaran SSCS memiliki peningkatan yang lebih rendah atau sama dengan siswa yang menggunakan model pembelajaran konvensional. Dengan demikian model pembelajaran SSCS bisa diterapkan untuk meningkatkan kemampuan pemahaman konsep matematis namun kurang efektif dalam peningkatan disposisi matematis siswa SMP. Kata kunci: Kemampuan Pemahaman Konsep Matematis, Disposisi Matematis, Model Pembelajaran Search, Solve, Create and Share (SSCS) ABSTRACT This research is motivated by the low mathematics learning result of students in Indonesia. This is caused by several factors, such as the low ability of understanding mathematical concepts and supported by the low mathematical disposition of students is the appreciation of mathematics learning. One of the efforts to improve the students' understanding of mathematical concepts and mathematical dispositions is by using Search, Solve, Create and Share (SSCS) learning model which makes students self-reliant, active and focused in learning mathematics. This study aims to determine the improvement of the ability to comprehend mathematical concepts and mathematical disposition of students by using SSCS model in mathematics learning. This research uses quasi experimental method with non-equivalent control group design. The subjects of this research are class VIII C (experiment) and VIII D (control) semester 2 SMPN 2 Serang City. The instrument used in this research is the ability to comprehend mathematical concepts and mathematical disposition scale. Data of this study were analyzed using normality test, homogeneity test, two-party test, and one-party test. The conclusion of this research is the ability of understanding mathematical concepts of students using SSCS learning model better than students using conventional learning model. While mathematical dispositions using SSCS learning models have a lower or equal increase with students using conventional learning models. Thus the SSCS learning model can be applied to improve the comprehension of mathematical concepts but less effective in improving mathematical disposition of Junior High School students.   Keywords: Ability  to  Understand  Mathematical  Concept,  Mathematical  Disposition,  Search,  Solve, Create and Share Learning Model (SSCS)

scholarly journals Influence of Concrete-Pictorial-Abstract (CPA) Approach on the Enhancement of Primary School Students’ Mathematical Reasoning Ability

2020 ◽  
Vol 7 (1) ◽  
pp. 119-132
Author(s):  
Hafiziani Eka Putri ◽  
Erna Suwangsih ◽  
Puji Rahayu ◽  
Gia Nikawanti ◽  
Elfriyani Enzelina ◽  
...  
Keyword(s):  
Primary School ◽  
Primary Schools ◽  
Mathematical Reasoning ◽  
Control Group ◽  
Reasoning Ability ◽  
Primary School Students ◽  
School Students ◽  
Control Group Design ◽  
Reasoning Abilities ◽  
Fifth Grade Students

This research is motivated by the importance of mathematical reasoning abilities for primary school students. This research aims at looking at the effect of the Concrete-Pictorial-Abstract (CPA) approach on the enhancement of mathematical reasoning abilities of primary school students. This research method is a quasi-experiment with pre-test and post-test control group design in Mathematics subjects with the theme of data presentation. The research sample consisted of 121 fifth grade students in two primary schools in Bekasi Regency. The test and non-test instruments were involved in this research. The results revealed that there wasthe influence between the CPA approach and students' mathematical reasoning abilities, and the achievement and enhancement of mathematical reasoning abilities of students who got learning with the CPA approach werebetter than students who got conventional learning based on all student review and a category of Prior Mathematical Ability (PMA) high, moderate and low. In conclusion, the mathematical reasoning ability of primary school students can be improved by applying the CPA approach.

scholarly journals Effectiveness of the Blended Learning Model to Improve Students’ Achievement of Mathematical Concepts

2021 ◽  
Vol 8 (4) ◽  
pp. 423-430
Author(s):  
Dewi Indrapangastuti ◽  
Herman Dwi Surjono ◽  
Sugiman . ◽  
Bagus Endri Yanto
Keyword(s):  
Blended Learning ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Learning Model ◽  
Control Group ◽  
Cluster Sampling ◽  
Mathematical Concepts ◽  
Tenth Grade ◽  
Quasi Experimental ◽  
Equivalent Control

This study aims to discover the effectiveness of the blended learning model in mathematics learning to improve the achievement of mathematical concepts. This study employed a quasi-experimental design with a non-equivalent control group. The experimental class was taught through blended learning, while the control class was taught through the conventional learning model. The population of this study was the students at State Senior High School 1 Sewon Yogyakarta, Indonesia. The research sample involved 60 tenth-grade students in the 2019/2020 academic year, 30 students in each of the experimental and control groups. The sampling technique used cluster sampling and the data were collected using a test instrument. The validity of the test was measured using the obtained Aiken index (0.80), and the reliability was based on the Cronbach's alpha coefficient (0.86). The data were analyzed using t-tests and descriptive statistics. The results of this study showed that the blended learning model is significantly more effective than the conventional learning model in enhancing students’ achievement of mathematical concepts. This means that the application of blended learning in mathematics learning can significantly improve students' achievement of mathematical concepts.

scholarly journals EFEKTIVITAS MODEL PROJECT BASED LEARNING (PBL) DALAM MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS

2021 ◽  
Vol 3 (2) ◽  
pp. 242
Author(s):  
Lenny Sasmita ◽  
Thamrin Tayeb ◽  
Lisnasari Andi Mattoliang ◽  
Andi Ika Prasasti Abrar ◽  
Mardhiah Mardhiah
Keyword(s):  
Problem Solving ◽  
Learning Model ◽  
Project Based Learning ◽  
Control Group ◽  
Test Results ◽  
Control Group Design ◽  
Ability Test ◽  
Group Design ◽  
Average Value ◽  
Equivalent Control

AbstrakTujuan penelitian ini adalah untuk mengetahui efektivitas penerapan model pembelajaran project based learning dalam meningkatkan kemampuan pemecahan masalah matematis peserta didik. Pendekatan penelitian ini adalah pendekatan kuantitatif dengan jenis penelitian eksperimen semu yang didesain menggunakan teknik Non-Equivalent Control Group Design. Sampel penelitian adalah peserta didik kelas VIII MTs Negeri Model Makassar. Teknik analisis data menggunakan analisis deskriptif dan inferensial. Hasil penelitian menunjukkan bahwa 1) kelas eksperimen sebelum menerapkan model pembelajaran project based learning memperoleh nilai rata-rata hasil tes kemampuan pemecahan masalah sebesar 79,28. Setelah menerapkan model pembelajaran project based learning diperoleh nilai rata-rata hasil tes kemampuan pemecahan masalah sebesar 91,24 sehingga terjadi peningkatan rata-rata sebesar 15,086%; 2) secara signifikan, terjadi peningkatan kemampuan pemecahan masalah untuk kelas yang menggunakan model pembelajaran project based learning di MTs Negeri Model Makassar.  AbstractThis research was conducted to determine the effectiveness of the application of the project based learning model in improving students' mathematical problem solving abilities. This research approach is a quantitative approach with a quasi-experimental type of research designed using the Non-Equivalent Control Group Design technique. The research sample was class VIII MTs Negeri Model Makassar.. The data analysis technique used descriptive and inferential analysis, namely t test. The results showed that 1) the experimental class before applying the project-based learning model obtained an average value of the problem-solving ability test results of 79.28. After applying the project based learning learning model, the average value of the problem solving ability test results was 91.24, resulting in an average increase of 15.086%; 2) there is a significant increase in problem-solving abilities for classes that use the project-based learning model at MTs Negeri Model Makassar.

scholarly journals Peningkatan Kemampuan Penalaran Matematika dan Sikap Siswa melalui Penerapan Pembelajaran Matematika dengan Pendekatan Open Ended pada Siswa Kelas VIII-2 SMPN 7 Padangsidimpuan

2018 ◽  
Vol 2 (2) ◽  
pp. 140
Author(s):  
Yuni Rhamayanti ◽  
Nurdalilah Nurdalilah
Keyword(s):  
High School Students ◽  
Junior High School ◽  
Student Attitudes ◽  
Mathematical Reasoning ◽  
Mathematics Learning ◽  
School Students ◽  
Student Activity ◽  
Reasoning Abilities ◽  
Eighth Grade Students ◽  
Class Viii

This research was conducted on junior high school students with the aim of improving mathematical reasoning abilities, student activity and student attitudes towards the application of open ended approach learning. This type of research is Classroom Action Research. The subject of this study is the eighth grade students of SMP Negeri 7 Padangsidimpuan 2017-2018 Academic Year, which are selected in class VIII-2 with a total of 24 students. The conclusions that can be drawn from this study are 1) increasing mathematical reasoning abilities through the application of mathematical learning with an open-ended approach to students of class VIII-2. The increase in students' mathematical reasoning abilities was obtained at 0.5 with the medium criteria, 2) increasing student learning activities through the application of mathematics learning with an open-ended approach to students of class VIII-2. The increase in student activity was obtained at 0.46 with moderate criteria, 3) increasing student attitudes towards mathematics through the application of mathematics learning with an open-ended approach to students of class VIII-2. The increase in student activity is 0.6 with moderate criteria.

scholarly journals PROBLEM-BASED LEARNING WITH A SCIENTIFIC APPROACH AS A SOLUTION TO DEVELOP STUDENTS' MATHEMATICS LEARNING OUTCOMES

MaPan ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 49
Author(s):  
A. Riska Atika ◽  
Ridwan Idris ◽  
Andi Ika Prasasti Abrar ◽  
Ahmad Farham Majid
Keyword(s):  
Learning Outcomes ◽  
Mathematics Learning ◽  
Problem Based Learning ◽  
Student Learning Outcomes ◽  
Learning Model ◽  
Control Group ◽  
Control Group Design ◽  
Average Value ◽  
Scientific Approach ◽  
Equivalent Control

Abstract:This study aims to understand the influence of the problem-based learning model with a scientific approach to grade VIII students' mathematics learning outcomes at SMP Negeri 1 Sungguminasa. This research uses a quasi-experimental method with a non-equivalent control group design. This research collected its research data through the distribution of observation sheets and learning achievement tests. Based on the descriptive statistical analysis results that the average value of student learning outcomes by using the problem-based learning model is 78.7, and the standard deviation is 7.21, while the average value of student learning outcomes without the problem-based learning model treatment is 72.19, and the standard deviation is 7.01. The results of the inferential analysis indicate the significant value (2-tailed) of 0.003 < 0.05, signifying a rejected H0. For that reason, this research concludes that there is a significant difference in grade VIII students' mathematics learning outcomes at SMP Negeri 1 Sungguminasa when the problem-based learning model with a scientific approach is implemented.Abstrak:Penelitian ini bertujuan untuk mengetahui pengaruh model pembelajaraan berbasis masalah dengan pendekatan saintifik terhadap hasil belajar matematika siswa kelas VIII SMP Negeri 1 Sungguminasa. Jenis penelitian yang digunakan adalah quasi eksperimen dengan desain penelitian non equivalent control group design. Instrumen yang digunakan adalah lembar observasi dan tes hasil belajar. Berdasarkan hasil analisis deskriptif menunjukkan bahwa nilai rata-rata hasil belajar siswa menggunakan model problem based learning adalah sebesar 78,7, dan standar deviasinya 7,21, sedangkan rata-rata hasil belajar siswa yang tidak menggunakan model problem based learning adalah 72,19, dan standar deviasinya 7,01. Hasil analisis inferensial menunjukkan nilai signifikan (2-tailed) sebesar 0,003 < 0,05, yang berarti H0 ditolak. Dapat disimpulkan bahwa terdapat perbedaan dalam hasil belajar matematika siswa kelas VIII di SMP Negeri 1 Sungguminasa ketika menerapkan model pembelajaran berbasis masalah dengan pendekatan saintifik.

scholarly journals Kemampuan Berpikir Kreatif dan Hasil Belajar Matematika Siswa Menggunakan Model Pembelajaran Project-Based Learning Berbasis Pendekatan STEM

Jurnal Elemen ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 209-220
Author(s):  
I Wayan Widana ◽  
◽  
Kadek Lisa Septiari ◽  
Keyword(s):  
Learning Outcomes ◽  
Creative Thinking ◽  
Industrial Revolution ◽  
Mathematics Learning ◽  
Thinking Skills ◽  
Learning Model ◽  
Project Based Learning ◽  
Control Group ◽  
Model Based ◽  
And Mathematics

¬Creative thinking is one of the competencies needed in the Industrial Revolution 4.0, where change is very dynamic, so it must be balanced with an irregular way of thinking. This study analyzes the effect of the project-based learning models on the STEM approach to creative thinking skills and mathematics learning outcomes. The population was grade VII students of SMP PGRI 6 Denpasar in the 2019/2020 school year. The sample of the experimental class and the control class used the random sampling technique. The experimental class was given treatment with a project-based learning model based on the STEM approach, while the control group used a conventional project-based learning model. Data on creative thinking skills were collected using a questionnaire, and data on mathematics learning outcomes were collected using essay tests. Data were analyzed using the Manova test. The results of the study: there is an effect of the STEM approach-based project-based learning model on creative thinking skills; there is an effect of project-based learning model based on STEM approach on mathematics learning outcomes; there is an effect of the project-based learning model based on the STEM approach together on creative thinking skills and mathematics learning outcomes.

scholarly journals CAPAIAN KEMAMPUAN PENALARAN MATEMATIS SISWA DENGAN MODEL AIR

Numeracy ◽  
2020 ◽  
Vol 7 (1) ◽  
pp. 35-48
Author(s):  
Nuralam Nuralam ◽  
Maulidayani Maulidayani
Keyword(s):  
Mathematical Reasoning ◽  
Learning Model ◽  
Control Group ◽  
Reasoning Ability ◽  
Learning Models ◽  
Test Statistic ◽  
Control Group Design ◽  
Ability Test ◽  
Cluster Technique ◽  
Reasoning Abilities

The mathematical concept learned in school require mathematical reasoning abilities. But the test results show the students’ mathematical reasoning ability is still relatively low. To overcome this problem, applied a learning model called Auditory Intellectually Repetition (AIR). AIR can develop mathematical reasoning abilities students through problem solving. The purpose of this study is to describe the mathematical reasoning abilty of students through the AIR learning model is higher than taught through conventional learning models.. The research design used was quasi experiment with pretest-posttest control group design. The populations in this study were all of the Eighth Grade Students of SMPN 1 Jantho and the samples taken were classes VIII-2 and VIII-1 by using the random cluster technique sampling. The data collected wasby using the mathematical reasoning ability test. The result of research through the right-hand t-test statistic test obtained 3.79 > 1.68 then accept Ha reject Ho. Therefore, it was concluded that the students’ mathematical reasoning ability learned through the AIR learning model were higher than those taught conventional learning models. Abstrak Konsep matematika dipelajari di sekolah memerlukan kemampuan penalaran matematis. Namun hasil tes menunjukkan kemampuan penalaran matematis siswa masih tergolong rendah. Salah satu alternatif membuat kemampuan penalaran matematis lebih baik melalui model pembelajaran Auditory Intelectually Repetition (AIR). Penelitian ini bertujuan mendeskripsikan kemampuan penalaran matematis siswa yang diajarkan dengan model AIR lebih baik daripada siswa yang diajarkan dengan pembelajaran konvensional. Rancangan penelitian menggunakan quasi eksperimen dengan desain pretest-posttest control grup design. Populasi dalam penelitian seluruh siswa kelas VIII SMPN 1 Kota Jantho dan sampelnya kelas VIII-2 dan VIII-1 dipilih dengan teknik cluster random sampling. Data yangdikumpulkan dengan menggunakan tes kemampuan penalaran matematis. Hasil penelitian melalui uji statistik uji-t pihak kanan diperoleh thitung > ttabel yaitu 3,79 > 1,68 maka Ha tolak Ho. Disimpulkan bahwa kemampuan penalaran matematis siswa yang diajarkan dengan model AIR lebih baik daripada yang diajarkan denganpembelajaran konvensional.   Kata Kunci: Model Pembelajaran,  Model Air, Kemampuan Penalaran Matematis  

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