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

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

PRISMATIKA: Jurnal Pendidikan dan Riset Matematika ◽

10.33503/prismatika.v2i2.723 ◽

2020 ◽

Vol 2 (2) ◽

pp. 7-20

Author(s):

Elisa Dewi Puspitasari

Keyword(s):

Mathematical Reasoning ◽

Lessons Learned ◽

Reciprocal Teaching ◽

Teaching Model ◽

Percentage Increase ◽

Reasoning Ability ◽

Average Percentage ◽

Reasoning Abilities ◽

Mathematical Problems ◽

Class Average

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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The Influence of Realistic Mathemathic Education Model on Mathematical Reasoning Ability Viewed from Student Learning Styles

ZERO Jurnal Sains Matematika dan Terapan ◽

10.30829/zero.v3i1.3179 ◽

2019 ◽

Vol 3 (1) ◽

Author(s):

Dini Apriani ◽

Mujib Mujib ◽

Dona Dinda Pratiwi

Keyword(s):

Learning Styles ◽

Student Learning ◽

Mathematical Reasoning ◽

Reasoning Ability ◽

Balance Test ◽

Anova Test ◽

Reasoning Abilities ◽

Analysis Technique ◽

Essay Tests ◽

Student Learning Styles

This study aims to see the effect of realistic mathemathic education models on students' mathematical reasoning abilities in terms of learning styles. This type of research is quantitative. Data collection techniques used are essay tests and interviews. The data analysis technique used is hypothesis testing using anava 2 roads. However, before the anova test is carried out, the normality, homogeneity and balance test are carried out first. Based on the data that has been known that normal data, based on the same and balanced variance, the 2-way ANOVA test results show that there is an influence of the RTE model on students' mathematical reasoning ability, namely the reasoning ability of students with the RME model treatment is better than mathematical reasoning ability with conventional treatment methods. In addition, there is the influence of student learning styles on students' reasoning abilities.

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THE EFFECT OF REALISTIC MATHEMATHIC EDUCATION MODELS ON MATHEMATICAL REASONING ABILITY REVIEWED FROM STUDENT’S LEARNING STYLES

ZERO Jurnal Sains Matematika dan Terapan ◽

10.30829/zero.v3i1.5885 ◽

2019 ◽

Vol 3 (1) ◽

pp. 12

Author(s):

Dini Apriani ◽

Mujib Mujib ◽

Dona Dinda Pratiwi

Keyword(s):

Learning Styles ◽

Learning Style ◽

Mathematical Reasoning ◽

Mathematical Education ◽

Reasoning Ability ◽

Reasoning Abilities ◽

Kinesthetic Learning ◽

Education Model ◽

Essay Tests ◽

Better Than

Abstract This study aims to see the effect of realistic mathemathic education models on students' mathematical reasoning abilities in terms of learning styles. This type of research is quantitative. Data collection techniques used were essay tests and interviews. The data analysis technique used is hypothesis testing using 2-way anava. But before the anava test is carried out, the normality, homogeneity and balance tests are performed. Based on the data that is known that normal data, based on the same and balanced variance obtained by the 2-way Anova test results indicate that there is an influence of the RTE model on students' mathematical reasoning ability, namely the reasoning ability of students with RME model treatment is better than the mathematical reasoning ability with conventional treatment methods. In addition there is the influence of student learning styles on students' reasoning abilities. Furthermore, mathematical reasoning ability of students who have who have a visual learning style is better than students who have an auditory and kinesthetic learning style. While students who have kinesthetic learning styles are better than students who have auditory learning styles. There is no interaction between the treatment of learning with the learning styles category of students. Means, there is no difference in the effect between the learning treatment and learning styles of students on the ability of mathematical reasoning on students with the treatment of learning using the Realistic Mathematics Education model or using conventional learning models. Key Word: Realistic Mathematical Education Model, Mathematical Reasoning Ability, Learning Styles

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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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Motivasi dan Kemampuan Penalaran Matematis Siswa dengan Pembelajaran Kooperatif Tipe Pair Check Disertai Reward Pada Materi Fungsi

Math Educa Journal ◽

10.15548/mej.v2i2.183 ◽

2019 ◽

Vol 2 (2) ◽

Author(s):

Rivdya Eliza ◽

Khadijah Khadijah ◽

Utari Wulandari

Keyword(s):

Cooperative Learning ◽

Student Motivation ◽

Test Score ◽

Mathematical Reasoning ◽

Hypothesis Test ◽

Learning Model ◽

Control Group ◽

Reasoning Ability ◽

Model Type ◽

Class Test

The purpose of this study is 1) To know the motivation to learn mathematics of taught by using cooperative learning model type Pair Check with reward higher than student motivation taught by convensional learning,and 2) To know the mathematical reasoning ability which was taught by using cooperative learning model type Pair Check with reward on material function is higher than students mathematical reasoning ability taught by convensional learning. This type of research is Quasi Experimental Research with Randomized Control Group Only Design. The population in this study is all eighth grade student of SMPN 19 Padang. In obtaining the sample class it is need to be done normality, homogeneity and equality of classroom average tests the class selected as the experimental class is VIII.5 class and the control class is VIII.3. The result of the research shows that 1) learning motivation of students which was taught by using cooperative learning Pair Check model with Reward is higher than student’s motivation taught by convensional learning. Hypothesis test that is t-score (7.034) > t-table (1.67), 2) students' mathematical reasoning ability after being taught by cooperative model type Pair Check with reward is higher than the students' mathematical reasoning abilities taught by conventional learning models. Seen from the average score of the experimental class test score of 80.16 and the average of the control class test score of 74.13. After hypothesis testing using t-test, obtained tscore > t-table (1.867 > 1.67) at 95%. So it can be student mathematical reasoning ability of class VIII SMPN 19 Padang which is taught by cooperative learning model type Pair Check with reward is higher than taught by using conventional learning.Keywords: Mathematic Reasoning Ability And Student Motivation, Model Cooperative Type Pair Check, Reward Fungsi, And Mathematic

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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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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

Budapest International Research and Critics in Linguistics and Education (BirLE) Journal ◽

10.33258/birle.v4i1.1582 ◽

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.

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

Al-Jabar Jurnal Pendidikan Matematika ◽

10.24042/ajpm.v7i1.133 ◽

2016 ◽

Vol 7 (1) ◽

pp. 91-100 ◽

Cited By ~ 1

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.

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Analisis Keterampilan Menjelaskan dan Kemampuan Pemecahan Masalah Pada Konsep Ekosistem melalui Implementasi Model Jigsaw

Jurnal Edukasi Matematika dan Sains ◽

10.25273/jems.v6i1.5319 ◽

2019 ◽

Vol 6 (1) ◽

pp. 30

Author(s):

Aep Saepudin

Keyword(s):

Data Processing ◽

Experimental Method ◽

Test Data ◽

Hypothesis Test ◽

Problem Based Learning ◽

Test Analysis ◽

Normality Test ◽

A Value ◽

Essay Tests ◽

Processing Techniques

Tujuan dari penelitian ini adalah untuk menganalisis keterampilan menjelaskan dan kemampuan pemecahan masalah pada konsep ekosistem melalui implementasi model Jigsaw. Metode yang digunakan dalam penelitian ini adalah metode eksperimen. Instrumen penelitian yang digunakan adalah task dan rubric, tes essay dan lembar observasi. Teknik pengolahan data yang digunakan adalah uji normalitas, uji Z dan uji N-Gain. Berdasarkan hasil analisis data uji t satu perlakuan diperoleh nilai statistik uji hipotesis memperoleh nilai t = 63,997 dengan Sig. 0,000 < 0,05 artinya terdapat pengaruh penerapan model problem based learning terhadap keterampilan menjelaskan pada materi ekosistem di kelas VII. Hasil analisis uji hipotesis menunjukkan nilai t = 40,022 dengan dengan Sig. 0,000 > 0,05 artinya terdapat pengaruh penerapan model jigsaw terhadap kemampuan pemecahan masalah pada materi ekosistem di kelas VII. Berdasarkan hasil analisis nilai statistik uji N-Gain memperoleh nilai t = 54,826 dengan Sig. 0,000 < 0,05 artinya terdapat tingkat pengaruh penerapan model jigsaw terhadap keterampilan menjelaskan dan kemampuan pemecahan masalah pada materi ekosistem di kelas VII. Kesimpulan dalam penelitian ini adalah terdapat pengaruh penerapan model jigsaw terhadap keterampilan menjelaskan dan kemampuan pemecahan masalah pada materi ekosistem di kelas VII. The purpose of this study is to analyze the students' skill of explaining and the ability to solve problems in the concept of ecosystems through the implementation of the Jigsaw model. The method used in this research is the experimental method. The research instruments used were task and rubric, essay tests, and observation sheets. Data processing techniques used were normality test, Z test, and N-Gain test. Based on the analysis of one treatment, t-test data obtained the statistical value of the hypothesis test obtained a value of t = 63.997 with Sig. 0,000 <0.05 means that there is an influence of the application of the problem-based learning model to the explaining skills in the ecosystem material in class VII. The results of the hypothesis test analysis showed the value of t = 40.022 with Sig. 0,000> 0.05 means that there is an effect of the application of the jigsaw model on the ability to solve problems in ecosystem material in class VII. Based on the results of the analysis of the statistical value of the N-Gain test, obtained t value = 54.826 with Sig. 0,000 <0.05 means that there is a level of influence of the application of the jigsaw model to the skills of explaining and the ability to solve problems in ecosystem material in class VII. The conclusion in this study is that there is an effect of the application of the jigsaw model to the skills of explaining and the ability to solve problems in ecosystem material in class VII.

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