scholarly journals Students’ mahematical reasoning ability in solving TIMSS cognitive domain on Algebraic based on students’ thinking style

2021 ◽  
Vol 1 (1) ◽  
pp. 52-61
Author(s):  
Fauziah ◽  
Ilham Minggi ◽  
Ahmad Talib
Keyword(s):  
Research Study ◽  
Mathematical Reasoning ◽  
Cognitive Domain ◽  
Thinking Styles ◽  
Thinking Style ◽  
Reasoning Ability ◽  
Ability Test ◽  
Qualitative Research Study ◽  
Reasoning Abilities ◽  
Descriptive Approach

This study aims to describe the students' mathematical reasoning abilities in solving TIMSS cognitive domain reasoning problems in algebraic content in terms of the student’s thinking style of the students. The type of research is a qualitative research study with a descriptive approach. The subjects of this research consisted of one student who representing each of the concrete sequential thinking styles. The instrument of this research used consisted of thinking style questionnaires, mathematical reasoning ability test questions, and interview guidelines. The results of this study indicate that: SK thinking style subjects are able to meet four indicators of mathematical reasoning ability, namely: a) the ability to make guesses, b) the ability to draw conclusions, arrange evidence, provide reasons or evidence for the truth of the solution, c) the ability to draw the validity of an argumen, and d) the ability to find patterns or the nature of mathematical symptoms to make generalizations.

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 The Development of Teacher Efforts to Improve The Mathematical Reasoning Abilities Through The Problem Based Learning

2020 ◽  
Vol 1 (8) ◽  
Author(s):  
Siti Rahmah ◽  
Rahmah Johar ◽  
Saminan Saminan
Keyword(s):  
Action Research ◽  
Data Collection ◽  
Mathematical Reasoning ◽  
Problem Based Learning ◽  
Reasoning Ability ◽  
Research Subjects ◽  
Ability Test ◽  
Reasoning Abilities ◽  
Better Than ◽  
Made In

The purpose of this study is to determine teacher efforts to improve students' mathematical reasoning abilities through the Problem Based Learning model. This research is a classroom action research consisting of two cycles, namely planning, implementation, observation, and reflection. The research subjects were 28 students of class VII-1 SMP Negeri 2 Siantan, Anambas Islands Regency. The research instrument used was the teacher's observation sheet and the mathematical reasoning ability test. Data collection is done through observation and tests. The data obtained were analyzed qualitatively and described in a descriptive form. The results obtained are the mathematical reasoning ability of students in the first cycle of 2.27 and the second cycle of 2.83. Based on the results of the study showed that the efforts of teachers made in the second cycle were better than the first cycle, so that an increase in students' mathematical reasoning abilities in the second cycle was in the good category.

Penerapan Model Pembelajaran Problem Solving Dengan Pendekatan Saintifik Pada Kemampuan Penalaran Matematis Siswa Kelas VIII B SMP Negeri 1 Padamara

2020 ◽  
Vol 6 (1) ◽  
pp. 62
Author(s):  
Dyah Ayu Nur Khoeriyah ◽  
Ahmad Ahmad
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematical Reasoning ◽  
Action Planning ◽  
Reasoning Ability ◽  
Ability Test ◽  
Average Value ◽  
Reasoning Abilities ◽  
Flat Side ◽  
Class Viii

This study aims to improve students' mathematical reasoning abilities in learning mathematics through Problem Solving with Scientific approaches. The subjects in this study were all students of class VIII B, Padamara 1 st junior high school, totaling 33 students. This research was conducted in 3 cycles, each cycle consisting of 2 meetings. Each cycle in this study includes action planning, action implementation, observation and reflection. To measure the ability of mathematical reasoning is evaluated using the mathematical reasoning ability test. Based on the results of the study, the mathematical reasoning ability of the first cycle obtained an average value of 40.9, the second cycle obtained an average value of 60.15, and the third cycle obtained an average value of 63.3. The conclusion obtained from this study is that learning with Problem Solving with the Scientific approach can improve the mathematical reasoning ability of students of class VIII B Padamara 1 N Middle School, especially the subject of Building a Flat Side Room.

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  

scholarly journals Condition of Students' Mathematical Reasoning Abilities Based on Their Ability to Argue

2021 ◽  
Vol 2 (2) ◽  
pp. 98
Author(s):  
Arlina Trie Cahyono ◽  
Susiswo Susiswo ◽  
Tjang Daniel Chandra
Keyword(s):  
Junior High School ◽  
Test Scores ◽  
Mathematical Reasoning ◽  
Reasoning Ability ◽  
Valid Argument ◽  
Reasoning Process ◽  
Reasoning Abilities ◽  
Qualitative Descriptive ◽  
Descriptive Approach ◽  
Written Test

This study aims to reveal the condition of students' reasoning abilities based on the way students argue. This research uses a qualitative-descriptive approach. The subjects in this study were 3 students of junior high school with high reasoning abilities and 3 students with low reasoning abilities who viewed the reasoning ability scores when providing problem solving solutions on the written test. The data obtained in this study were in the form of students' written test scores and the results of student interviews. Interviews were conducted to bring up students 'ability to argue that describe and reveal the condition of students' reasoning abilities in the process of solving problems. The results of students 'arguments are analyzed and adjusted to the model of StephenToulmin's argument which reveals that there are 6 components of the argumentation to show the seriousness of students in arguing in order to obtain valid argument results to assess students' reasoning abilities. The arguments from students succeeded in uncovering 4 conditions that describe the conditions of students' mathematical reasoning abilities. These conditions are: 1) Students who show high reasoning ability in written tests and are able to show their reasoning process in the arguments that are brought up, 2) Students who show low reasoning abilities in written tests but are able to show their reasoning processes in the arguments that are brought up, 3) Students which shows a high reasoning ability in a written test but have not been able to demonstrate the reasoning process in the arguments that are brought up, and 4) Students who show a low reasoning ability in a written test and have not been able to demonstrate their reasoning process in the arguments that are brought up.

scholarly journals Modelling instruction effect with different reasoning ability on physics conceptual understanding by controlling the prior knowledge

2020 ◽  
pp. 73-84
Author(s):  
Ike Lusi Meilina ◽  
Supriyono Koes Handayanto ◽  
Muhardjito Muhardjito
Keyword(s):  
Prior Knowledge ◽  
Conceptual Understanding ◽  
Scientific Reasoning ◽  
Model Development ◽  
Learning Model ◽  
Reasoning Ability ◽  
Knowledge Test ◽  
Ability Test ◽  
Reasoning Abilities ◽  
Significant Difference

Modelling instruction is systematic instructional activity for constructing and applying scientific knowledge in Physics lesson. The purpose of this research is to determine the effect of Modelling instruction with different reasoning abilities on understanding physical concepts by controlling students’ prior knowledge. This research used experimental method with 2x2 factorial design with two Modelling instruction classes and two conventional classes with a total of 176 students. The instrument used was reasoning ability test, prior knowledge test, and physics concept test. It used LCTSR (Lawson’s Classroom Test of Scientific Reasoning) instrument. Prior knowledge test instruments consisted of 25 problems to identify how deep the students understand the topic before they undergo the learning process and physics concept test consisted of 25 problems. Based on the statistical test using two factor Ancova, it proved that there was a significant difference in students’ ability to master the physics concept between using Modelling instruction learning model and using conventional learning model. The result showed that the Modelling instruction increasing conceptual understanding better than conventional learning. There are two important parts in the Modelling instruction that are model development and model deployment. This study also confirms that there are significant differences in understanding the concepts between students of high reasoning ability and low reasoning ability. Students with high reasoning abilities have a better understanding of concepts than students with low reasoning abilities.

scholarly journals PROFIL PENALARAN MATEMATIS SISWA SMP DALAM PEMECAHAN MASALAH ARITMETIKA SOSIAL BERDASARKAN KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 110-120
Author(s):  
YULIANA DWI RAHMAWATI ◽  
Masriyah Masriyah
Keyword(s):  
Problem Solving ◽  
Qualitative Data ◽  
Mathematical Reasoning ◽  
Research Subjects ◽  
Ability Test ◽  
Reasoning Abilities ◽  
Mathematical Abilities ◽  
Reasoning Problem ◽  
Mathematical Problems ◽  
Problem Solving Strategies

Mathematical reasoning is the ability to think about mathematical problems, namely by thinking logically about mathematical problems to get conclusions about problem solutions. There are several factors that can affect students' mathematical reasoning, including mathematical abilities. Dissimilarity of students' mathematical abilities allows for dissimilarity in their mathematical reasoning abilities. So, this research intends to describe students' mathematical reasoning abilities in solving social arithmetic problems based on dissimilarity in mathematical abilities. The purpose of this research was to describe qualitative data about the mathematical reasoning abilities of students with high, medium, or low abilities in solving social arithmetic problems. The instrument used was the Mathematical Ability Test to determine the three research subjects, followed by a Problem Solving Test to get qualitative data about students' mathematical reasoning abilities, then interviews to get deeper data that was not obtained through written tests. Thus, the research data were analyzed using mathematical reasoning indicators. From the result of data analysis, it was found that all students understood the problem well. Students with high and medium mathematical abilities are determining and implementing problem solving strategies properly, namely writing down the step for solving them correctly and making accurate conclusions by giving logical argumens at aech step of the solution. However, students with low mathematical abillities have difficulty in determining and implementing problem solving strategies because they do not understand the concept, thus writing the steps to solve the problems incorrectly and not giving accurate conclusions about the correctness of the solution. Keywords: mathematical reasoning, problem solving, mathematical abilities

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 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.

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