scholarly journals The Effectiveness of Visualization of Proofs in Learning Mathematics by Using Discovery Learning Viewed from Conceptual Understanding

2019 ◽  
Vol 9 (1) ◽  
pp. 37-44
Author(s):  
Angga Kristiyajati ◽  
Ariyadi Wijaya
Keyword(s):  
Secondary Students ◽  
Conceptual Understanding ◽  
Quantitative Methods ◽  
Mathematics Learning ◽  
Population Sample ◽  
Measurement Instrument ◽  
Sampling Technique ◽  
Discovery Learning ◽  
Learning Models ◽  
Significance Level

The purpose of this study is to explore the effectiveness of the use of visualization of proofs upon discovery learning models in mathematics learning in terms of understanding concepts. This study is an experimental design which used quantitative methods to obtain data on student conceptual understanding. The sampling technique used was stratified random sampling. The population sample used in this study was 11th grade secondary students, chosen from 11 IPA 2 of SMAN 8 Yogyakarta, 11 IPA 3 of SMAN 8 Yogyakarta, 11 IPA 3 of SMAN 2 Yogyakarta, 11 IPA 4 of SMAN 2 Yogyakarta, 11 IPA 1 of SMAN 11 Yogyakarta, and 11 IPA 2 of SMAN 11 Yogyakarta. In each school, two classes were chosen with one class was given a discovery learning treatment with visualization of proofs (PWW) and the other class was given a discovery learning treatment without visualization of proofs. The measurement instrument used in this study was an essay test instrument with five questions. Discovery learning is said to be effective if the average value of conceptual understanding is at least 75. Based on the results of this study, although the data obtained did not meet the assumptions of normality, the number of members of the sample were more than 30 so that the data analysis could use parametric statistics. Using a hypothesis testing with a significance level of 0.05, it was found that the use of visualization of proofs was effective in mathematics discovery learning models if it was viewed from conceptual understanding.

scholarly journals MATHEMATICS LEARNING ACHIEVEMENT: DISCOVERY LEARNING COLLABORATION THINK PAIR SHARE VIEWED FROM REASONING

2021 ◽  
Vol 10 (1) ◽  
pp. 85
Author(s):  
Anggoro Yugo Pamungkas ◽  
Sugiman Sugiman ◽  
Nining Setyaningsih
Keyword(s):  
Junior High School ◽  
Random Sampling ◽  
Quantitative Research ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Discovery Learning ◽  
Good Effect ◽  
Learning Achievement ◽  
Significance Level ◽  
Cluster Random Sampling

This study aims to (1) analyze Discovery Learning Setting Think Pair Share on mathematics learning achievement, (2) analyze the level of students 'reasoning towards mathematics learning achievement, and (3) determine the interaction of Discovery Learning Setting Think Pair Share and the level of students' reasoning on mathematics learning achievement. This type of research uses quantitative research with a quasi-experimental design. All grade VIII students of State Junior High School 1 Sambi were the population of this study. The sample in this study consisted of two classes, 31 experimental  and 32 control students, with a sampling technique using cluster random sampling. Data collection techniques using documentation, tests, and questionnaires. The data analysis technique used the ANOVA technique. Two ways with different cells. The results of the study with a significance level of 5% are (1) there is a good effect using Discovery Learning Setting Think Pair Share on students 'mathematics learning achievement, (2) there is a good effect of reasoning on students' mathematics learning achievement, and (3) there is no interaction between Discovery Learning. Think Pair Share setting and students' reasoning. Therefore, it is concluded that mathematics learning achievement can be influenced by Discovery Learning Setting Think Pair Share and reasoning. Keywords: Discovery learning setting think pair share; mathematics learning outcomes; reasoning. AbstrakPenelitian ini bertujuan untuk (1) menganalisis Discovery Learning Setting Think Pair Share terhadap prestasi belajar matematika, (2) menganalisis tingkat penalaran siswa terhadap prestasi belajar matematika, dan (3) mengetahui interaksi Discovery Learning Setting Think Pair Share dan tingkat penalaran siswa terhadap prestasi belajar matematika. Jenis penelitian menggunakan penelitian kuantitatif dengan desain quasi experiment. Seluruh siswa kelas VIII SMP Negeri 1 Sambi menjadi populasi penelitian ini. Sampel dalam penelitian ini terdiri dari dua kelas dengan 31 siswa eksperimen dan 32 siswa kontrol, dan pengambilan teknik sampling menggunakan cluster random sampling. Teknik pengumpulan data menggunakan metode dokumentasi, tes dan angket. Teknik analisis data menggunakan teknik ANAVA dua jalan dengan sel tak sama. Hasil penelitian dengan tingkat signifikansi 5% adalah (1) ada pengaruh baik menggunakan Discovery Learning Setting Think Pair Share terhadap prestasi belajar matematika siswa, (2) ada pengaruh baik penalaran terhadap prestasi belajar matematika siswa, dan (3) tidak ada interaksi antara Discovery Learning Setting Think Pair Share dan penalaran siswa. Oleh karena itu, disimpulkan bahwa prestasi belajar matematika dapat dipengaruhi oleh Discovery Learning Setting Think Pair Share dan penalaran. Kata Kunci: Discovery learning setting think pair share; penalaran; prestasi belajar matematika.

scholarly journals The Use of Generative Learning Model in Improving Students’ Understanding of Mathematical Concepts of Al-Azhar 19 Islamic High School

2021 ◽  
Vol 1 (1) ◽  
pp. 16-26
Author(s):  
Andri Kosiret ◽  
Fariani Hermin Indiyah ◽  
Dwi Antari Wijayanti
Keyword(s):  
High School ◽  
Distance Learning ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Learning Model ◽  
Learning System ◽  
Generative Learning ◽  
Learning Models ◽  
Mathematical Concepts ◽  
Significance Level

Background. Distance learning during the COVID-19 pandemic has changed the landscape of mathematics learning as a whole. One of the mathematics learning models that offer new concepts in distance learning is generative learning model. The Aim of the Research. This study will evaluate the effectiveness of the implementation of generative learning models in improving students' mathematical understanding abilities. The appropriate research method to test the effectiveness is quasi-experimental design because the class being experimented with is not changed, so that it does not have much effect on overall learning stability. The research sample used cluster random sampling technique where class X MIPA 3 was the experimental class while class X MIPA 2 was the control class. The research instrument used was a test of students' ability to understand mathematical concepts in the material of Logarithmic Equations as many as seven essay questions. Conclusion. There is an effect (high) of the generative learning model on the ability to understand students' mathematical concepts applied to the distance learning system at Al-Azhar 19 Ciracas Islamic Senior High School logarithmic equation material with a significance level of α = 0.05. Contribution. This study offers a new concept for the application of distance learning mathematics by implementing a generative learning model which in this study has contributed positively to student understanding

scholarly journals Perbedaan Pengaruh Penggunaan Model Pembelajaran Kooperatif Tipe Number Head Together (NHT) dan Team Games Tournament (TGT) Terhadap Prestasi Belajar Matematika Ditinjau dari Jenis Kelamin

Teknodika ◽  
2016 ◽  
Vol 14 (2) ◽  
pp. 1
Author(s):  
Christiana Sri Wahyuni Kustiasih ◽  
Sunardi Sunardi ◽  
Sri Haryati
Keyword(s):  
Mathematics Achievement ◽  
Factorial Design ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Control Group ◽  
Learning Models ◽  
Learning Achievement ◽  
Significance Level ◽  
Significant Difference ◽  
The Difference

The purpose of this research is to find out (1) the difference of effect between the NHT, TGT, and Directive learning (DL) models on the mathematics learning achievement. (2) the difference of learning achievement on mathematics between boys and. (3) the interaction of effect between learning model and gender on  mathematics learning achievement. This kind of research is a quantitative one which uses an experimental factorial design. The population of this research are all the 7th grade - 1st semester students of SMP 1 Sidoharjo, Sragen on the Academic Year Of 2015/2016. The sample is determined by taking 3 clsasses at random. The sampling technique uses the Cluster Random Sampling. The experimental group was treated by the NHT and TGT learning models. While the control group was subjected to the directive learning. For the teaching material is used the Algebraic design. The hypothesis testing uses the factorial design 3x2 with Two-Ways Analysis of Variance (Two Ways Anava) technique with different cells. Before, the trial test was conducted. Forth, for the balance testing was used the t-testing. For the reliability testing of the research instrument with internal consistency was used the Kuder Richardson (KR-20) formula, normality test used the lilliefors method, and the homogenity test used the Bartlet method. The result of the data analysis with significance level of 0.05 obtained: (1) FA = 3.641 and Ftable = 3.07, it mean FA > Ftable. The conclusion of HOA test was rejected and H1A was accepted, which means that there is a significant difference between the learning models to the mathematics achievement. (2) FB = 15.197 and Ftable = 3.92, it obtained FB > Ftable. HOB test was rejected and H1B was accepted. It means that there is a significant difference between boys and girls to the mathematics achievement. (3) FAB = 4.353, Ftable = 3.07, obtained FAB > Ftable. HOAB was rejected and H1AB was accepted, it means that there is a significant interaction of effect between gender and learning models to the mathematics achievement at the subject of Algebraic design.

scholarly journals HUBUNGAN ANTARA KECERDASAN EMOSIONAL DENGAN PRESTASI BELAJAR MATEMATIKA SISWA KELAS VIII SMP NEGERI 8 PALU

Aksioma ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 13-18
Author(s):  
Fitrianti Fitrianti ◽  
Bakri Mallo ◽  
Linawati Linawati
Keyword(s):  
Emotional Intelligence ◽  
Random Sampling ◽  
Alternative Hypothesis ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Learning Achievement ◽  
Significance Level ◽  
Initial Hypothesis ◽  
And Mathematics ◽  
The Relationship

Abstrak: Tujuan dari penelitian ini adalah untuk mengetahui hubungan antara kecerdasan emosional dengan prestasi belajar matematika siswa kelas VIII SMP Negeri 8 Palu. Populasi dari penelitian ini adalah seluruh siswa kelas VIII SMP Negeri 8 Palu yang terdiri dari 5 kelas. Sampel penelitian diperoleh dengan menggunakan teknik random sampling, jumlah siswa yang menjadi sampel sebanyak 44 orang. Pengumpulan data menggunakan dua instrumen yaitu, kuisioner kecerdasan emosional dan dokumentasi prestasi belajar dari nilai rapor. Hasil analisis data dengan menggunakan uji korelasi product moment diperoleh nilai korelasi r = 0,417. Nilai rtabel = 0,297 untuk N = 44 dengan taraf signifikansi 5%. Nilai rhitung (0,417) > rtabel (0,297) maka diputuskan menerima hipotesis alternatif (H1) dan menolak hipotesis awal (H0). Artinya terdapat hubungan yang positif dan signifikan antara kecerdasan emosional dengan prestasi belajar matematika siswa kelas VIII SMP Negeri 8 Palu. Kata kunci: Kecerdasan Emosional dan Prestasi Belajar Matematika The purpose of this study was to determine the relationship between emotional intelligence with mathematics learning achievement of VIII grade students at SMP Negeri 8 Palu. The population of this study is all students of VIII grade at SMP Negeri 8 Palu consisting of 5 classes. The sample was obtained by using random sampling technique. The total number of the sample was 44 students. The data collection used two instruments, namely, emotional intelligence questionnaire and documentation of learning achievement from the report card. The results of data analysis using product moment correlation test obtained correlation value r = 0.417. Value of rtable = 0,297 for N = 44 with significance level 5%. The value of rcount (0.417)> rtable (0.297) then decided to accept the alternative hypothesis (H1) and reject the initial hypothesis (H0). This means there is a positive and significant relationship between emotional intelligence and mathematics learning achievement of VIII grade students at SMP Negeri 8 Palu. Keywords: Emotional Intelligence and Mathematics Learning Achievement

scholarly journals HUBUNGAN ANTARA KECERDASAN EMOSIONAL, KEMANDIRIAN BELAJAR DAN KREATIVITAS BELAJAR DENGAN HASIL BELAJAR MATEMATIKA

2021 ◽  
Vol 11 (1) ◽  
pp. 72-83
Author(s):  
Ni Komang Hita Wulandari ◽  
Kadek Rahayu Puspadewi ◽  
Putu Ledyari Noviyanti
Keyword(s):  
Emotional Intelligence ◽  
Learning Outcomes ◽  
Significant Relationship ◽  
Hypothesis Test ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Independent Learning ◽  
Significance Level ◽  
Relative Contribution ◽  
And Mathematics

This correlational research aims to determine the relationship between emotional intelligence, independent learning and learning creativity with the mathematics learning outcomes of grade VII students of SMP Negeri 1 Blahbatuh. Data collection was carried out by means of questionnaires and tests. The sample used is a number of 80 people who are determined by the cluter random sampling technique. Hypothesis test used is simple and multiple regression with a significance level of 0.05. The results of this study indicate that there is a significant relationship between emotional intelligence and mathematics learning outcomes, the relative contribution is 46%. There is a significant relationship between independent learning and mathematics learning outcomes, the relative contribution is 39%. There is a significant relationship between creativity and mathematics learning outcomes, the relative contribution is 64%. There is an influence between emotional intelligence, independent learning and learning creativity with mathematics learning outcomes of students with a relative contribution of 62%.

scholarly journals The Differences of Mathematics Learning Outcomes between Think Pair Share (TPS) and Number Heads Together (NHT)

2018 ◽  
Vol 9 (1) ◽  
pp. 19
Author(s):  
Arie Purwa Kusuma ◽  
Maskuroh Maskuroh
Keyword(s):  
Learning Outcomes ◽  
Random Sampling ◽  
Hypothesis Test ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Learning Model ◽  
T Test ◽  
Learning Models ◽  
Experimental Group

The low learning outcomes of mathematics are not appropriate thought of learning models in the classroom. Therefore, the NHT and TPS learning models can be applied to improve the learning of outcomes of the student. This study aims to determine the differences in learning outcomes using the NHT learning model with the TPS learning model. The sampling technique is used as a random sampling cluster with 2 groups of experiments for the first experimental group  (classroom view of TPS model) and the second experimental group (classes of NHT modeling). The instrument of this research uses the test of mathematics learning result. The hypothesis test is used  T-Test. The conclusion of research that are differences in the outcomes of the two learning models (NHT and TPS) on learning outcomes, based on the marginal mean of the TPS learning model is better learning outcomes than the NHT learning model. 

scholarly journals PENGGUNAAN MEDIA POWER POINT DALAM PEMBELAJARAN MATEMATIKA DAN PENGARUHNYA TERHADAP PRESTASI BELAJAR SISWA

2020 ◽  
Vol 13 (1) ◽  
pp. 75-87
Author(s):  
Nurhayati Nurhayati ◽  
Yasir Arafat ◽  
Yessi Fitriani
Keyword(s):  
Student Achievement ◽  
Quantitative Methods ◽  
Mathematics Learning ◽  
Linear Regression Analysis ◽  
Sampling Technique ◽  
Test Model ◽  
Quasi Experimental ◽  
Class Viii ◽  
Power Point ◽  
Research Types

This research aims to determine the effect of using powerpoint media in mathematics learning on student achievement in Madrasah Tsanawiyah Ogan Ilir. This research uses quantitative methods with quasi experimental research types. The population of the study was 221 people, students of class VIII at MTs Negeri 2 Tanjung Raja, Ogan Ilir District. The number of research samples were 72 people. The sampling technique in this study is a nonprobability sampling technique with a type of purposive sampling technique. Data collection techniques using the test model, namely pretest and posttest in the experimental class and the control class. Data were analyzed using simple linear regression analysis analysis techniques. The results showed that there was a significant influence on the use of powerpoint learning media in mathematics learning on student achievement in MTs Negeri 2 Tanjung Raja, Ogan Ilir District.

scholarly journals Pengaruh Penerapan Model Discovery Learning Terhadap Hasil Belajar Siswa Pada Pembelajaran Pkn di Kelas V SDN 02 Aur Kuning Bukittinggi

2020 ◽  
Vol 3 (2) ◽  
pp. 13
Author(s):  
Reinita Reinita
Keyword(s):  
Sampling Technique ◽  
Discovery Learning ◽  
Control Group ◽  
Control Group Design ◽  
Sample Number ◽  
Significance Level ◽  
Civic Learning ◽  
Quasi Experimental ◽  
Experimental Type ◽  
Experimental Group

This research aims to determine the effect of the use of Discovery Learning on the results of learning Pkn in five grade students SDN 02 Aur Kuning Bukittinggi This research is a type of experimental research in the form of Quasi-Experimental Type Nonequivalent Control Group Design. The sampling technique using total sampling technique with the sample number 40students.This is evidenced by the results of the t-test with a significance level of 5% obtained count (4,28>2,03). The result of Civic learning obtained by the experimental group is higher than the control group, it is shown from mean 77,35 and the mean obtained by the control group is 74,1.

scholarly journals Video Media Assisted Example Non Example Model on Mathematics Learning Outcomes

2020 ◽  
Vol 4 (2) ◽  
pp. 208
Author(s):  
Desak Suciani ◽  
Ni Wayan Rati ◽  
I Gde Wawan Sudatha
Keyword(s):  
Learning Outcomes ◽  
Mathematics Learning ◽  
Outcome Data ◽  
T Test ◽  
Test Method ◽  
Control Group ◽  
Learning Models ◽  
Control Group Design ◽  
Class V ◽  
Significance Level

The average grade of learning outcomes in class V is low. That is because students' fear of learning and the teacher is not optimal in creating a pleasant atmosphere. This study aims to understand mathematics learning outcomes between students who are taught with example non example learning models assisted with video media and students who are taught discovery learning models assisted with video media in the mathematics subjects of class V. This study includes quasi-experimental uses non-equivalent post designs test only control group design with a population of class V students totaling 128 students. Sampling using a random sampling technique, with a total of 43 students. Mathematics learning outcome data is collected by a test method that is multiple choice objective tests. Mathematical learning outcomes data were analyzed using polled variance t-test. Based on the t-test obtained t count = 7.78> t table = 2.021 at a significance level of 5% (a= 0.05) with db = n1 + n2 - 2 = 43 - 2 = 41 then H0 is rejected. The results of the study prove that the example non example learning model assisted by video media influences on mathematics learning outcomes. The results of this study can be used as a theoretical basis or further learning guidelines to improve learning outcomes, especially mathematics.

scholarly journals TEAMS GAMES TOURNAMENT (TGT) DAN DISCOVERY LEARNING (DL) DALAM PEMBELAJARAN MATEMATIKA DI SEKOLAH DASAR

2020 ◽  
Vol 6 (1) ◽  
pp. 1
Author(s):  
Andi Kaharuddin ◽  
Sartika Arifin ◽  
Topanus Tulak ◽  
Putu Ayu Suyastini
Keyword(s):  
Elementary School ◽  
Learning Outcomes ◽  
Random Sampling ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Sixth Grade ◽  
Discovery Learning ◽  
School Students ◽  
Positive Effect ◽  
Quasi Experiment

Abstrak: Penelitian ini mendeskripsikan perbedaan pengaruh dari penerapan TGT dan DL dalam pembelajaran matematika di sekolah dasar. Penelitian ini merupakan Quasi Experiment. Populasi penelitian yaitu siswa kelas VI sekolah dasar dengan sampel yang ditentukan dengan menggunakan teknik Purposive Random Sampling terdiri dari du kelas. Instrumen yang digunakan mengumpulkan data yaitu observasi keaktifan siswa dalam pembelajaran dan tes akhir pembelajaran berupa tes essay. Hasil pengujian secara deskriptif yaitu penerapan TGT berpengaruh positif dibandingkan dengan DL ditinjau berdasarkan hasil belajar dan keaktifan siswa. Berdasarkan pengujian inferensial pada hipotesis penelitian dengan uji t ditemukan thitung > α berarti terdapat perbedaan pengaruh, dimana pengaruh penerapan model TGT lebih tinggi dibandingkan dengan DL. Sehingga, secara umum diinterpretasikan bahwa TGT berpengaruh positif dibandingkan dengan DL terhadap hasil belajar dan keaktifan siswa sekolah dasar.TEAMS GAMES TOURNAMENT (TGT) AND DISCOVERY LEARNING (DL) IN LEARNING MATHEMATICS IN ELEMENTARY SCHOOLAbstract: This study describes the different effects of the application of TGT and DL in mathematics learning in elementary schools. This research is a Quasi Experiment. The population of this research is the sixth grade students of elementary school. The sample is determined by using purposive random sampling technique consisting of two classes. The instruments used to collect data were the observation of student activeness in learning and the final test of learning in the form of an essay test. The results of the descriptive test, namely the application of TGT have a positive effect compared to DL in terms of learning outcomes and student activity. Based on inferential testing on the research hypothesis with the t test, it was found that tcount > α means that there is a difference in influence, where the effect of applying the TGT model is higher than that of DL. Thus, it is generally interpreted that TGT has a positive effect compared to DL on learning outcomes and the activeness of elementary school students.

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