scholarly journals Implementing Class Wide Peer Tutoring to Enhance Students' Mathematical Reasoning Ability in Understanding Absolute Value Equations and Inequalities

2021 ◽  
Vol 5 (1) ◽  
pp. 1
Author(s):  
Ega Gradini ◽  
Firmansyah B ◽  
Septia Wahyuni ◽  
Meri Mailinda
Keyword(s):  
Peer Tutoring ◽  
Mathematical Reasoning ◽  
Reasoning Ability ◽  
Test Results ◽  
Absolute Value Equations ◽  
Absolute Value ◽  
Reasoning Abilities ◽  
Reasoning Test ◽  
Method Approach ◽  
Cluster Random Sampling

This article aims to determine the effectiveness of Class Wide Peer Tutoring (CWPT) implementation to improve students' mathematical reasoning abilities. This research is experimental research with a mixed-method approach. The research sample was determined through cluster random sampling. Data were collected through mathematical reasoning tests arranged according to indicators of mathematical reasoning ability. Data were analyzed using inferential statistics with the stages of normality, homogeneity, and hypothesis testing. The result shows that the implementation of CWPT enhances students' mathematical reasoning on Equations and Inequalities of an Absolute Value. Mathematical reasoning test results show that the 10th grader score of mathematical reasoning is 76.75 (Good). The indicator of mathematical reasoning that is the most difficult for students to master is "drawing logical conclusions" with the acquisition of a mathematical reasoning score of 35.81 (poor), while the easiest mastered by students is "Presenting mathematical statements or premises in writing, drawings or graphics" with mathematical reasoning score of 80.14 (Very Good). The students' mathematical reasoning ability on the indicator "compiling an analogy or explanation of the problem and its solution" is 74.09 (Good). The mathematical reasoning ability of students on the indicator "mathematical manipulation" is 42.10 (fair). Keywords: Mathematical Reasoning, Students’ ability, Class Wide Peer Tutoring

scholarly journals Pengembangan Soal Penalaran Model TIMSS Konteks Sumatera Selatan di Kelas IX SMP

2015 ◽  
Vol 5 (2) ◽  
pp. 170
Author(s):  
Hazlita Hazlita ◽  
Zulkardi Zulkardi ◽  
Darmawijoyo Darmawijoyo
Keyword(s):  
Mathematical Reasoning ◽  
Reasoning Ability ◽  
Test Results ◽  
Reasoning Abilities ◽  
Reasoning Problem

<p align="center"><strong>Abstrak</strong></p><p>Penelitian ini bertujuan untuk menghasilkan soal-soal penalaran model TIMSS konteks Sumatera Selatan yang valid dan praktis dan untuk melihat efek potensial soal matematika tipe <em>TIMSS</em> konteks Sumatera Selatan terhadap kemampuan penalaran matematis siswa. Subjek penelitian adalah siswa kelas IX SMPN 9 Palembang yang berjumlah 29 orang. Metode penelitian adalah penelitian pengembangan. Hasil penelitian menunjukkan bahwa sebanyak 37,93% siswa menunjukkan tingkat kemampuan penalaran matematis yang baik. Sebanyak 55,17% siswa menunjukkan tingkat kemampuan penalaran matematis yang cukup dan sebanyak 6,90% siswa menunjukkan tingkat kemampuan penalaran matematis yang kurang. Berdasarkan hasil tes tersebut, jika nilai rata-rata siswa siswa sebesar 39,24 dijadikan sebagai batas acuan, maka bisa disimpulkan bahwa 31,03% siswa memiliki kemampuan penalaran matematis yang kurang, sementara 68,97% siswa sudah memiliki kemampuan pelanaran matematis yang cukup baik.</p><p> </p><p><strong>Kata Kunci: </strong>Soal Penalaran; TIMSS; Konteks Sumatera Selatan</p><p align="center"><strong> </strong></p><p align="center"><strong> </strong></p><p align="center"><strong><em>Abstract</em></strong></p><p><em>The aim of this research was developing valid and practical TIMSS reasoning problem on mathematics context of South Sumatra. The subjects of this research were 29 students of class IX SMPN 9 Palembang. The method of research is the development of research. The results showed that 37.93% of students showed levels of good mathematical reasoning abilities, 55.17% of students showed levels sufficient mathematical reasoning ability and 6.90% of students showed levels of mathematical reasoning abilities are lacking. Based on the test results, if the 39.24 was determined as minimum limit of success, it means that 31.03% of students have less mathematical reasoning ability, while 68.97% of students already have sufficient mathematical reasoning ability.</em></p><p><strong><em> </em></strong></p><p><strong><em>Keywords: </em></strong><em>Problem Reasoning; TIMSS; Context South Sumatra</em></p>

Brief Reports: The Interaction of Spatial Visualization and General Reasoning Abilities with Instructional Treatment on Absolute Value Equations

1978 ◽  
Vol 9 (2) ◽  
pp. 152-154
Author(s):  
Phillip M. Eastman ◽  
Mohammed Salhab
Keyword(s):  
Individual Differences ◽  
Spatial Visualization ◽  
Absolute Value Equations ◽  
Absolute Value ◽  
Reasoning Abilities ◽  
Instructional Treatment ◽  
Treatment Interaction ◽  
Aptitude Treatment Interaction ◽  
Method Of Instruction

Aptitude treatment interaction (ATI) studies essentially deal with two related questions: Can we adapt instruction to patterns of individual differences among students? If so, for which students is a particular method of instruction most effective? The general ATI problem as advanced by Cronbach (1957) is well known (e.g., Becker, 1970), and no further discussion of it is presented here.

scholarly journals The Analysis of Students’ Mathematical Reasoning Ability in Completing Mathematicalproblems on Geometry

2019 ◽  
Vol 3 (1) ◽  
pp. 72
Author(s):  
Widya Rizkha Sandy ◽  
Siti Inganah ◽  
Anis Farida Jamil
Keyword(s):  
Data Collection ◽  
Research Design ◽  
Quantitative Research ◽  
Mathematical Reasoning ◽  
Reasoning Ability ◽  
Qualitative And Quantitative ◽  
Average Value ◽  
Reasoning Abilities ◽  
Mathematical Formulas ◽  
The Subject

This study aimed to describe the level of students' reasoning ability to solve the problems on flat sides of Geometry with the level of mathematical reasoning ability of high, moderate and low. The types and the research approaches used were descriptive qualitative and quantitative research design. The research subjectswere 6 students from class VIIIF. The form of data collection included 4 items ofwritten questions test and interview on the subject selected. Based on the analysis, the average value of the entire instrument about the mathematical reasoning abilities gained 71.5% for the indicators that carried out the calculations based on mathematical formulas or rules applicable. While 73.33% and 71.5% for the indicator of conclusions and 66.67% for the indicator ofestimation, that ifsummedup and averaged the percentage was 69%. The ability of class VIIIF students’ mathematical reasoning was fair.

scholarly journals Development of Mathematics Teaching Materials Based on the Realistic Mathematics Approach (PMR) to Improve the Mathematical Reasoning and Representation Ability of Class VII Students of SMP Muhammadiyah 47 Medan Sunggal

2021 ◽  
Vol 4 (1) ◽  
pp. 252-264
Author(s):  
Ibnu Raash Aleslami ◽  
Ani Minarni ◽  
KMS. M. Amin Fauzi
Keyword(s):  
Mathematical Reasoning ◽  
Student Response ◽  
Mathematical Representation ◽  
Mathematical Approach ◽  
Reasoning Ability ◽  
Teaching Materials ◽  
Ability Test ◽  
Average Value ◽  
Reasoning Abilities ◽  
Ability Tests

This study aims to analyze the validity and effectiveness of teaching materials developed based on a realistic mathematical approach in improving students 'mathematical reasoning and representation abilities, to analyze the increase in students' reasoning skills and mathematical representation abilities taught using teaching materials based on realistic mathematical approaches. The data were obtained through the validation sheet of teaching materials, observation sheets, student response questionnaires, mathematical reasoning ability test instruments and mathematical representation ability tests. This study uses a 4-D development model Thiagarajan, Semmel and Semmel by developing teaching materials with a realistic mathematical approach. Based on the results of the validation, the total average value of the RPP validity was 4.81, the student books were 4.83 and the LKPD was 4.85, the students' mathematical reasoning ability tests and the mathematical representation ability tests were in the valid category. Classical mastery of learning reaches 90.62% which has met the completeness criteria, namely ≥85% of students have reached the KKM. The increase in students' mathematical reasoning abilities using teaching materials based on a realistic mathematical approach on fraction material seen from N-Gain in the first trial and second trial has increased from 0.36 to 0.50 meaning that it is in the medium category. As well as an increase in the ability of students' mathematical representation using teaching materials based on a realistic mathematical approach on fraction material seen from N-Gain in the first trial and second trial, it increased from 0.43 to 0.50, meaning that it was in the medium category.

scholarly journals Hubungan Kausal Penalaran Matematis terhadap Prestasi Belajar Matematika pada Materi Bangun Ruang Sisi Datar ditinjau dari Motivasi Belajar Matematika Siswa

2016 ◽  
Vol 7 (1) ◽  
pp. 91-100 ◽  
Author(s):  
Agus Setiawan
Keyword(s):  
Mathematical Reasoning ◽  
Hypothesis Test ◽  
Data Retrieval ◽  
Learning Motivation ◽  
Reasoning Ability ◽  
High Learning ◽  
Learning Achievement ◽  
Reasoning Test ◽  
Learning Mathematics ◽  
Class Viii

This research is a comparative causal research with factorial design 3 3. The population of this study is all students of class VIII SMP Negeri 1 Simpang Pematang. Sampling was done by cluster random sampling. The sample of this research is students of class VIII B and VIII D. Instruments used to collect data is a test of learning achievement, mathematical reasoning test and student motivation questionnaire. Prior to use for data retrieval, achievement test instruments, reasoning tests and motivational questionnaires were first tested in mathematics. Hypothesis test using two way Anava test with unequal cell. The conclusions of this study are: (1) Students with high mathematical reasoning ability have better learning achievement than students with moderate mathematical reasoning ability, students have better learning achievement than students with low mathematical reasoning, and students with ability High mathematical reasoning has better learning achievement than students with low mathematical reasoning ability, (2) Students with high learning motivation have better learning achievement than students with moderate learning motivation, students with high learning motivation have better learning achievement than Students with low learning motivation, and students with learning motivation are having better learning achievement than students with low learning motivation, (3) There is no interaction between mathematical reasoning ability and motivation of learning mathematics to learning achievement Ar math.

scholarly journals Pengaruh Model Pembelajaran Giving Question Getting Answer dan Think Pair Share terhadap Kemampuan Penalaran Matematika Siswa Kelas VII

2019 ◽  
Vol 8 (2) ◽  
pp. 341-352
Author(s):  
Asurya Octaviyunas ◽  
Arta Ekayanti
Keyword(s):  
High School ◽  
Experimental Study ◽  
Junior High School ◽  
Mathematical Reasoning ◽  
Learning Model ◽  
Reasoning Ability ◽  
Learning Models ◽  
Reasoning Abilities ◽  
Mathematics Ability ◽  
Quasi Experimental

AbstrakPenelitian ini didasari atas permasalahan pentingnya kemampuan penalaran matematis dan pencapaiannya yang masih rendah. Tujuan dari penelitian ini adalah mengetahui pengaruh model pembelajaran Giving Question Getting Answer dan Think Pair Share terhadap kemampuan penalaran matematika siswa, dan efektifitasnya dalam meningkatkan kemampuan tersebut. Populasi Penelitian eksperimen semu ini mencakup seluruh siswa kelas VII SMPN 1 Balong. Kelas VIIA diberi pembelajaran dengan model TPS sedangkan kelas VIIB dengan model GQGA. Instrumen pengumpulan data berbentuk tes, meliputi soal pretest dan posttest. Hasil penelitian menunjukkan bahwa model pembelajaran GQGA berpengaruh terhadap kemampuan penalaran siswa kelas VIIB dengan peningkatan yang terjadi dari nilai pretest ke posttest. Begitu juga dengan model pembelajaran TPS berpengaruh terhadap kemampuan penalaran matematika siswa kelas VIIA dengan peningkatan nilai pretest ke posttest. Model pembelajaran GQGA tidak lebih efektif daripada model pembelajaran TPS dalam meningkatkan kemampuan penalaran matematika siswa. The Effect of Learning Model Giving Question Getting Answer and Think Pair Share Toward Reasoning Mathematics Ability Student’s Grade VII AbstractThis research is based on the problem of the importance of mathematical reasoning abilities and their low achievement. The purpose of this study was to determine the effect of Giving Question Getting Answer and Think Pair Share learning models on students' mathematical reasoning abilities and their effectiveness in enhancing these abilities. Population This quasi-experimental study included all seventh-grade students of Balong 1 Junior High School. The VIIA class is given learning with the TPS model while the VIIB class is with the GQGA model. The instruments of data collection are in the form of tests, including the questions of the pretest and posttest. The results showed that the GQGA learning model had an effect on the reasoning ability of students in class VIIB with an increase that occurred from the pretest to the posttest. Likewise, the TPS learning model influences the mathematical reasoning abilities of VIIA students with an increase in the value of the pretest to posttest. The GQGA learning model is no more effective than the TPS learning model in improving students' mathematical reasoning abilities.

scholarly journals Description of Mathematical Reasoning Ability for Students of SMA Negeri 1 Tawangsari Class XI-MIPA 3 on Matrix Material

Khazanah ◽  
2020 ◽  
Vol 12 (2) ◽  
Author(s):  
Nikodemus Cahyo Saputro ◽  
◽  
Krisdianto Hadi Prasetyo ◽  
Andhika Ayu Wulandari ◽  
◽  
...  
Keyword(s):  
Data Analysis ◽  
Mathematical Reasoning ◽  
Matrix Material ◽  
Reasoning Ability ◽  
Student Responses ◽  
Data Presentation ◽  
Average Percentage ◽  
Reasoning Abilities ◽  
Analysis Technique ◽  
The Matrix

The purpose of this study was to determine how the students' mathematical reasoning abilities towards the matrix material. The data in this study were obtained from the results of filling out questionnaires and also interviews. Sources of data in this study were the subjects from which the data were obtained, namely students of class XI-MIPA 3 SMA N 1 Tawangsari. The data analysis technique used was data reduction, data presentation and conclusion drawing. The results of the data analysis from the questionnaire showed that the average percentage of student responses to mathematical reasoning abilities on the matrix material was 60.75% and was in the medium category. With the percentage on each indicator, namely on indicator 1 (students do calculations with the applicable mathematical formula / rules) of 55.63% so that it is included in the moderate category, students with the moderate category have aspects of the ability to understand question commands and are only weak at calculation operations. In indicator 2 (students draw general conclusions based on mathematical processes / concepts) the percentage is 61.25% so it is included in the medium category. In indicator 3 (students make estimates) the percentage is 81.25% so that it is included in the high category, students with high categories have aspects of the ability to understand question commands, question logic and can complete counting operations. While the percentage on indicator 4 (students draw conclusions based on the similarity of mathematical processes / concepts that are seen) is 54.5% so it is included in the low category, students with low categories have aspects of the question's melogical ability and are only weak in counting operations. The average percentage of the four indicators is 63.16% so that student responses can be said to be in the medium category. In this study, checking the validity of the data used triangulation techniques, namely by comparing the results of the study with the results of interviews. From the comparison of data analysis with questionnaires and interviews, it can be concluded that students with mathematical reasoning on the matrix material are in the medium category.

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.

Kemampuan Penalaran Matematis Siswa SMP dalam Menyelesaikan Soal HOTS Geometri

2021 ◽  
Vol 10 (2) ◽  
pp. 268
Author(s):  
Ana Siti Rosyidah ◽  
Erry Hidayanto ◽  
Makbul Muksar
Keyword(s):  
Data Analysis ◽  
Data Collection ◽  
Key Words ◽  
Mathematical Reasoning ◽  
Reasoning Ability ◽  
Reasoning Abilities ◽  
High Category ◽  
School Year ◽  
Descriptive Qualitative

<p><strong>Abstrak: </strong>Penelitian ini bertujuan untuk mendeskripsikan kemampuan penalaran matematis siswa dalam menyelesaikan soal <em>HOTS</em> geometri. Metode yang digunakan adalah kualitatif deskriptif. Penelitian dilaksanakan di SMPN 1 Madiun pada 32 siswa kelas IX H tahun ajaran 2020/2021. Selanjutnya, dipilih satu subjek pada masing-masing kategori yaitu kemampuan penalaran matematis tinggi, kemampuan penalaran matematis sedang, dan kemampuan penalaran matematis rendah untuk dilakukan analisis data dengan melihat kemampuan penalaran matematis siswa berdasarkan indikator; mengajukan dugaan, melakukan manipulasi matematika, memberikan alasan atau bukti dan menarik kesimpulan. Teknik pengumpulan data dalam penelitian ini menggunakan tes dan wawancara. Hasil penelitian ini menunjukkan bahwa siswa yang mempunyai kemampuan penalaran kategori rendahmenuliskan jawaban dengan tidak tepat dan hanya memenuhi indikator penalaran matematis pertama yakni mengajukan dugaan. Siswa yang memiliki kemampuan penalaran matematis kategori sedang menjawab soal kurang lengkap dan memenuhi dua indikator penalaran matematis; mengajukan dugaan dan menarik kesimpulan. Siswa yang memiliki kemampuan penalaran matematis kategori tinggi menuliskan jawaban dengan tepat, lengkap dan memenuhi semua indikator penalaran matematis: mengajukan dugaan, melakukan manipulasi matematika, memberikan alasan atau bukti dan menarik kesimpulan.</p><p><strong>Kata kunci:</strong> Penalaran matematis; Soal <em>HOTS</em>, Geometri</p><p><strong>Abstract</strong>: This study aims to describe students' mathematical reasoning abilities in solving geometric HOTS problem. The method used is descriptive qualitative. The research was conducted at SMPN 1 Madiun on 32 students of class IX H for the 2020/2021 school year. Furthermore, one subject was selected in each category, namely high mathematical reasoning ability, medium mathematical reasoning ability, and low mathematical reasoning ability for data analysis by looking at students' mathematical reasoning abilities based on indicators; making conjectures, performing mathematical manipulations, providing reasons or evidence and drawing conclusions. Data collection techniques in this study used tests and interviews. The results of this study indicate that students who have low category reasoning abilities write answers incorrectly and only satisfy the first mathematical reasoning indicator, namely making conjectures. Students who have the medium category of mathematical reasoning write answer incomplete and satisfy two indicators of mathematical reasoning; making conjectures and drawing conclusions. Students who have high category mathematical reasoning abilities write answers accurately, completely and satisfy all indicators of mathematical reasoning: making conjectures, performing mathematical manipulations, providing reasons or evidence and drawing conclusions.</p><p><strong>Key words: </strong>Mathematical reasoning; HOTS Problem, Geometry<strong></strong></p>

scholarly journals The Role of Aptitude Treatment Interaction Instructional Model with Task and Forced Instructional Strategy on Student Mathematical Reasoning Ability

2020 ◽  
Vol 1 (1) ◽  
Author(s):  
Serlina Serlina ◽  
Leonard Leonard
Keyword(s):  
Hypothesis Testing ◽  
Learning Strategies ◽  
Instructional Strategy ◽  
Mathematical Reasoning ◽  
Learning Model ◽  
Reasoning Ability ◽  
Average Value ◽  
Reasoning Abilities ◽  
Treatment Interaction ◽  
Aptitude Treatment Interaction

This research was conducted to determine the effect of aptitude-treatment interaction (ATI) instructional models with task and forced instructional strategy to mathematical reasoning abilities. Mathematical reasoning ability is an ability that belongs to the goals of national education, but its achievement is still fairly low. The method used in this study is a quasi-experimental method with a posttest-only research design. Sampling in this study using purposive sampling technique. The study sample consisted of 60 students divided into two classes (30 experimental classes and 30 control classes). This research was conducted in the school of SMK Perintis 1 Depok and SMK Fajar Depok. The experimental class uses aptitude-treatment interaction (ATI) learning model with task and forced learning strategies, while the control class uses conventional methods. The collected data is then analyzed using the calculation of chi-square test, Fisher test, and hypothesis testing. The results of the data analysis showed that the average value of students who learned using aptitude-treatment interaction (ATI) learning model with task and forced learning strategies was higher than the average value of students who learned using conventional methods. Based on the results of hypothesis testing shows that there is an influence of aptitude-treatment interaction (ATI) learning model with task learning strategies and forced on students' mathematical reasoning abilities.

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