PENERAPAN RECIPROCAL TEACHING DENGAN KARTU PERAN UNTUK MENINGKATKAN KEMAMPUAN PENALARAN MATEMATIS MATERI TRIGONOMETRI

The purpose of this study is to describe the application of Reciprocal Teaching with role cards to improve student mathematical reasoning abilities on trigonometry material. Mathematical reasoning is thinking about mathematical problems logically to solve a problem and give reasons for a solution. One of the lessons learned to overcome the low mathematical reasoning ability is the learning of Reciprocal Teaching models using role cards. The steps of Reciprocal Teaching activities include question generating, clarifying, predicting, and summarizing. Before the Reciprocal Teaching steps are carried out, students are given a role card to determine the students who become model teachers. This research is a classroom action research. Based on the research that has been done, it is known that the application of the Reciprocal Teaching model increases the mathematical reasoning ability of students in XI grade IPA 2 of SMA Negeri 8 Malang on the Trigonometry with an increase in class average from initial 73 to 60 in cycle I and to 73 in cycle II. In addition, the average percentage increase in students' mathematical reasoning also increased from 60% to 73%.

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

Khazanah ◽

10.20885/khazanah.vol12.iss2.art51 ◽

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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Pengaruh Penerapan Teori Van Hiele Berbantuan Software Wingeom Terhadap Kemampuan Penalaran Matematika Siswa pada Materi Geometri

ITEJ (Information Technology Engineering Journals) ◽

10.24235/itej.v2i1.13 ◽

2016 ◽

Vol 2 (1) ◽

pp. 19-25

Author(s):

Fitri Amalia Izzati ◽

Hadi Kusmanto ◽

Toheri Toheri

Keyword(s):

Mathematical Reasoning ◽

Hypothesis Test ◽

Coefficient Of Determination ◽

Reasoning Ability ◽

Test Analysis ◽

Average Percentage ◽

Van Hiele ◽

Reasoning Abilities ◽

Van Hiele Theory ◽

Essay Tests

One of the purpose of mathematics is to develop students’ mathematical reasoning abilities. But in the fact indicate that objective can’t be realized optimally. This research aims to determine the effect of application Van Hiele theory aided software wingeom to mathematical reasoning ability students on geometry. This research is case study with a sample of 40 students and using technique purposive sampling. The technique of collecting data used questionnaire and essay tests. Based on analysis of questionnaire obtained an average percentage of 63,04%, that means the student responded strongly. While mathematical reasoning ability is quite an average of 67,25%. Based on the hypothesis test analysis whit significance 5% show there is the effect of application Van Hiele theory aided software wingeom to mathematical reasoning ability on geometry. From the regression equation obtained = 8,482 + 0,847 X. The coefficient is positive, that means there is a positive correlation between the application Van Hiele theory aided software Wingeom and mathematical reasoning ability. The coefficient of determination 0,166 meaning that 16% variable mathematical reasoning ability is determined by the Van Hiele theory aided application software wingeom, while the remaining 84% is explained by other variable. The application of Van Hiele theory aided Wingeom software significantly affect students’ mathematical reasoning ability on geometry.

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DEVELOPMENT of MATHEMATICAL QUESTIONS in the PISA MODEL on UNCERTAINTY and DATA CONTENT to MEASURE the MATHEMATICAL REASONING ABILITY of MIDDLE SCHOOL STUDENTS

JOURNAL of MATHEMATICS SCIENCE and EDUCATION ◽

10.31540/jmse.v1i2.323 ◽

2019 ◽

Vol 1 (2) ◽

pp. 52-63

Author(s):

Siti Asyah ◽

Elya Rosalina ◽

As Elly

Keyword(s):

Mathematical Reasoning ◽

Mathematical Problem ◽

Average Score ◽

Reasoning Ability ◽

Design Development ◽

School Students ◽

Reasoning Abilities ◽

Mathematical Problems ◽

Data Content

This study aims to produce a Mathematical Problem based on the PISA Model in measuring the level of mathematical reasoning ability in valid and practical SMP 1 students and looking at the mathematical reasoning abilities of students in solving the mathematical problems of the PISA model on uncertainty and data content. This research is a development research with ADDIE development model. This model consists of five stages of development, namely Analysis, Design, Development, Implementation and Evaluation. Products developed in this study are in the form of PISA questions on statistical material and opportunities. From the results of the research carried out by the researcher obtained: (1) the validity of a question indicates that the question depends on the feasibility category such as the developed question obtaining good results in the feasibility component of language by obtaining a mean score of 3.16, on the material feasibility get a good category with an average score of 3.22, then in the construct feasibility category get a very good predicate with a mean score of 3.85. So that the average score obtained by the three experts is 3.35 and is categorized very well. (2) the quality of the question is viewed from various aspects such as practicality which are classified as "Good" with an average score of 3.43 then after that can be determined through the response results assessed by students regarding mathematical problems based on PISA models for uncertainty and data content so that they can measure students' mathematical reasoning abilities. For mathematical reasoning abilities in students using mathematical questions based on the PISA model get an average score of 2.19 categorized quite well.

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KEMAMPUAN PENALARAN MATEMATIS SISWA KELAS VIII MTs ISLAMIYAH MEDAN MELALUI PENDEKATAN OPEN-ENDED

MES: Journal of Mathematics Education and Science ◽

10.30743/mes.v4i2.1795 ◽

2019 ◽

Vol 4 (2) ◽

pp. 217-225

Author(s):

Ade Evi Fatimah

Keyword(s):

Action Research ◽

Test Scores ◽

Mathematical Reasoning ◽

Mathematics Learning ◽

Reasoning Ability ◽

Student Responses ◽

Average Percentage ◽

Reasoning Abilities ◽

Learning Mathematics ◽

Class Viii

Abstract. This research is a Classroom Action Research which aims to improve the mathematical reasoning ability of students of class VIII Mts Islamiyah Medan through the Open-Ended approach. The subjects in this study were all students of class VIII-1 MTs Islamiyah Medan, totaling 24 students. This research was conducted in 2 cycles, namely cycle I and II, each of which consisted of two meetings. The instruments used in this study were observation guidelines for implementing learning with the Open-Ended approach, cycle tests to measure students' mathematical reasoning abilities towards learning mathematics with the Open-Ended approach, interview guidelines and documentation. Data from observations, tests, and questionnaires were analyzed quantitatively which was strengthened by the results of interviews and descriptive qualitative documentation. The results showed that the mathematical reasoning ability of students in class VIII-1 MTs Islamiyah Medan increased from cycle I to cycle II after learning was carried out with the Open-Ended approach. This is shown by as many as 20 students or 83.3% experienced an increase in mathematical reasoning ability based on the total score of aspects of mathematical reasoning ability. The average percentage of test scores increased from 66.6% in the first cycle to 83.3% in the second cycle and in the high category. Based on observations of the implementation of learning with the Open-Ended approach is good and in accordance with the characteristics of the Open-Ended Approach. Based on the results of interviews and questionnaire results data student responses to mathematics learning in relation to mathematical reasoning abilities, increased from cycle I to cycle II.Keywords: Mathematical Reasoning Ability, Open-Ended Approach.

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Penerapan Model Pembelajaran Kooperatif Tipe Think Talk Write Terhadap Kemampuan Penalaran Matematis Siswa Kelas XI IPA MAN Kota Padang

Math Educa Journal ◽

10.15548/mej.v2i2.182 ◽

2019 ◽

Vol 2 (2) ◽

Author(s):

Irwan Irwan ◽

Devi Permata Sari

Keyword(s):

Random Sampling ◽

Mathematical Reasoning ◽

Teaching Model ◽

Reasoning Ability ◽

Final Test ◽

Cooperative Teaching ◽

Reasoning Abilities ◽

Conventional Teaching ◽

Better Than

The problems that occur in the field is the low of students’ mathematical reasoning abilities in the class XI IPA MAN Padang. It can be seen from the finding of observation and analysis toward the result of test given to the students. To overcome the problems, the cooperative teaching model Think Talk Write is used. The purpose of the study is to find out the effct of the cooperative teaching model Think Talk Write application toward students’ mathematical reasoning abilities in the class XI IPA MAN Padang. The research is quasy experiment. The population of the research is all students in the class XI IPA MAN Padang. The technique used for the sampling is random sampling. The sample of the reasearch is the students in the class XI IPA2 MAN 1 Padang as experiment class and the students in the class XI IPA1 MAN 1 Padang as control class. The instrument used in the reasearch is the test that consists of the first test to see the initial ability of the students and the final test to see toward students’ mathematical reasoning abilities. Based on the finding of the research, it can be concluded: first, the students’ mathematical reasoning abilities which is taught by the cooperative teaching model Think Talk Write is better than those which is taught b conventional teaching. Second, the students’ mathematical reasoning ability who have high, fair and low abilities which is taught by the cooperative teaching model Think Talk Write is better than those which is taught b conventional teaching.Keywords: Cooperative Learnig Model Think Talk Write type ,Mathematical Reasoning Ability

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UPAYA PENCAPAIAN KEMAMPUAN PENALARAN MATEMATIKA SISWA MELALUI PEMBELAJARAN DENGAN PENDEKATAN METAKOGNITIF

Didaktik : Jurnal Ilmiah PGSD STKIP Subang ◽

10.36989/didaktik.v5i2.97 ◽

2020 ◽

Vol 5 (2) ◽

pp. 202-212

Author(s):

Fina Milawati ◽

Timbo Siallagan

Keyword(s):

Mathematical Reasoning ◽

Sample Selection ◽

Preliminary Test ◽

Reasoning Ability ◽

Final Test ◽

Reasoning Abilities ◽

Learning Mathematics ◽

Eighth Grade Students ◽

Mathematical Problems ◽

The Subject

ABSTRACT For the development of education towards more advanced learning mathematics sought metacognitive learning. Learning that can build students' perspectives on mathematical problems, by thinking of an appropriate strategy. Then, from the knowledge obtained by the student is able to draw conclusions or reasoning, in this case the achievement of students' mathematical reasoning abilities. This study aims to determine the achievement of the reasoning ability of students who are given learning with a metacognitive approach and students who are given conventional learning. This study uses an experimental method conducted on eighth grade students of SMP Negeri 3 Kalijati. The sample selection is done randomly by selecting two classes from three classes. Of the two classes selected, class VIIIC as an experimental class whose learning uses a metacognitive approach and class VIIIB as a control class whose learning uses conventional learning models. To determine the ability of the two classes are given a preliminary test and a final test with the same questions. The results of the study concluded that students' reasoning abilities on the subject of the circle using learning metacognitive approaches were higher than using conventional learning. ABSTRAK Untuk pengembangan pendidikan kearah lebih maju dalam pembelajaran matematika diupayakan suatu pembelajaran metakognitif. Pembelajaran yang dapat membangun cara pandang siswa terhadap masalah matematika, dengan memikirkan suatu strategi yang tepat. Kemudian, dari pengetahuan yang diperoleh siswa tersebut mampu mengambil kesimpulan atau penalaran, dalam hal ini pencapaian kemampuan penalaran matematika siswa. Penelitian ini bertujuan untuk mengetahui pencapaian kemampuan penalaran siswa yang diberi pembelajaran dengan pendekatan metakognitif dan siswa yang diberi pembelajaran konvensional. Penelitian ini menggunakan metode eksperimen yang dilakukan pada siswa kelas VIII SMP Negeri 3 Kalijati. Pemilihan sampel dilakukan secara acak dengan memilih dua kelas dari tiga kelas. Dari dua kelas yang terpilih, kelas VIIIC sebagai kelas eksperimen yang pembelajarannya menggunakan pendekatan metakognitif dan kelas VIIIB sebagai kelas kontrol yang pembelajarannya menggunakan model pembelajaran konvensional. Untuk mengetahui kemampuan dari kedua kelas tersebut diberi tes awal dan tes akhir dengan soal yang sama. Hasil penelitian menyimpulkan bahwa kemampuan penalaran siswa pada pokok bahasan lingkaran menggunakan pembelajaran pendekatan metakognitif lebih tinggi daripada menggunakan pembelajaran konvesional.

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Penerapan model pembelajaran reciprocal teaching ditinjau dari kemampuan penalaran matematis peserta didik pada materi bangun datar segiempat

PYTHAGORAS Jurnal Pendidikan Matematika ◽

10.21831/pg.v13i1.16579 ◽

2018 ◽

Vol 13 (1) ◽

pp. 88-98

Author(s):

Trini Andira ◽

Budi Santoso ◽

Muhammad Yusup

Keyword(s):

Junior High School ◽

Mathematical Reasoning ◽

Learning Model ◽

Reciprocal Teaching ◽

Average Score ◽

Observation Data ◽

Average Percentage ◽

Reasoning Abilities ◽

Quantitative Descriptive ◽

Teaching Learning

Penalaran matematis merupakan salah satu aspek penting yang sangat dibutuhkan peserta didik dalam mempelajari matematika. Berbagai upaya telah dilakukan untuk meningkatkan kemampuan penalaran matematis peserta didik, salah satunya dengan penerapan model pembelajaran Reciprocal Teaching. Penelitian ini merupakan penelitian deskriptif kuantitatif yang bertujuan untuk mengetahui proses pembelajaran dan kemampuan penalaran matematis peserta didik melalui penerapan model pembelajaran Reciprocal Teaching pada materi bangun datar segiempat di kelas VII. Subjek penelitian ini adalah 34 peserta didik kelas VII.5 yang berasal dari SMP Negeri 13 Palembang. Data dikumpulkan menggunakan observasi dan tes. Data yang diperoleh dalam penelitian ini adalah data hasil observasi kegiatan peserta didik pada saat diterapkan model pembelajaran Reciprocal Teaching dan data hasil tes untuk melihat kemampuan penalaran matematis peserta didik setelah diterapkan model pembelajaran Reciprocal Teaching. Analisis data dilakukan secara deskriptif kuantitatif. Hasil penelitian menunjukkan bahwa (1) keaktifan peserta didik selama diterapkan model pembelajaran Reciprocal Teaching berada pada kategori “sangat aktif” dengan persentase rata-rata 88,71%; (2) kemampuan penalaran matematis peserta didik setelah diterapkan model pembelajaran Reciprocal Teaching berada pada kategori “cukup” dengan rata-rata skor sebesar 67,89.Kata kunci: Pembelajaran Reciprocal Teaching, penalaran matematis, pembelajaran matematika Applying of reciprocal teaching-learning model viewed from students’ mathematical reasoning on the quadrilateral matter AbstractThe mathematical reasoning was one of the important aspects that students need in learning mathematics. Various efforts have been made to improve students’ mathematical reasoning skills, one of which was the application of the Reciprocal Teaching learning model. This research was a quantitative descriptive research that aims to explain the process of learning implementation and student’s mathematical reasoning ability by using the Reciprocal Teaching learning model on the quadrilateral matter in class VII. The subjects of this research were 34 students of class VII.5 from SMP (Junior High School) Negeri 13 Palembang, South Sumatera, Indonesia. Data were collected using observations and tests. The data obtained in this research were the observation data of students activities when applied the Reciprocal Teaching learning model and the test results data to see students’ mathematical reasoning abilities after applying the Reciprocal Teaching learning model. The results of research showed that (1) student activity during applying the Reciprocal Teaching learning model was in the “very active” category with an average percentage of 88.71%; (2) students’ mathematical reasoning abilities after applying the Reciprocal Teaching learning model was in the “enough” category with an average score of 67.89.

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PENERAPAN MODEL QUANTUM TEACHING UNTUK MENINGKATKAN HASIL BELAJAR PKn SISWA KELAS IV SD NEGERI 19 BALIK ALAM KECAMATAN MANDAU

Primary: Jurnal Pendidikan Guru Sekolah Dasar ◽

10.33578/jpfkip.v6i2.4536 ◽

2017 ◽

Vol 6 (2) ◽

pp. 461

Author(s):

Eltrizar Eltrizar

Keyword(s):

Learning Outcomes ◽

Fourth Grade ◽

Student Learning Outcomes ◽

Class Action ◽

Teaching Model ◽

Percentage Increase ◽

Average Percentage ◽

Average Grade ◽

Fourth Grade Students ◽

Teaching Learning

The problem in this research is the low of Civics learning outcomes in fourth grade (IV) SD Negeri 19 Balik Alam, this can be seen from the average grade, that is 66,23 (with KKM 70). The purpose of this study is to improve the results of learning Civics fourth grade students SD Negeri 19 Balik Alam with the application of quantum teaching learning model. This research is a class action research (PTK) with 2 cycles. Based on data analysis of research results after applying quantum teaching model, the average percentage of teacher activity in cycle I 66.66% increased to 85.4% in cycle II. The average percentage of student activity also increased by 56.25% in the first cycle increased to 87.49% in cycle II. Student learning outcomes on the basic score with the average class 66,23 and in the first cycle has increased with the average grade grade 71.11 with the percentage increase in learning outcomes 8.87% and the percentage of students who complete 73.07%, and on the second cycle increased again with the average class of 77.60 with the percentage increase in learning outcomes 17.16% and the percentage of students who complete 84.61%. The results of this study showed that the application of quantum teaching model can improve the learning outcomes of fourth grade students of SD Negeri 19 Balik Alam.

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

MATHEdunesa ◽

10.26740/mathedunesa.v10n1.p110-120 ◽

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

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

Mathematics Education Journal ◽

10.22219/mej.v3i1.8423 ◽

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.

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