scholarly journals EXPLORING THE CREATIVE MATHEMATICAL REASONING OF MATHEMATICS EDUCATION STUDENT THROUGH DISCOVERY LEARNING

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Titin Masfingatin ◽  
Wasilatul Murtafiah
Keyword(s):  
Mathematics Education ◽  
Mathematical Reasoning ◽  
Discovery Learning ◽  
Education Student ◽  
Mathematical Foundation ◽  
Education Department ◽  
Thinking Skill ◽  
Reasoning Process ◽  
Individual Evaluation ◽  
Creative Mathematical Reasoning

Discovery learning is a learning model that enhancescreative thinking skill including develops students' creative mathematical reasoning. Creative mathematical reasoning process includes novelty, plausibility, and mathematical foundation. This research aims to describe students’ creative mathematical reasoning of the mathematics education department on Geometry. The data was collected based on the observation and individual evaluation of students.The results showed that Discovery Learning can (1) grow as much as 35.48% of students have complete creative mathematical reasoning (novelty, plausibility, and mathematical foundation), (2) grow as much as 64.52% of students have incomplete creative mathematical reasoning, and (3) grow novelty by 77.42%.

scholarly journals Exploration of Creative Mathematical Reasoning in Solving Geometric Problems

2020 ◽  
Vol 14 (2) ◽  
pp. 155-168
Author(s):  
Titin Masfingatin ◽  
Wasilatul Murtafiah ◽  
Swasti Maharani
Keyword(s):  
Mathematical Reasoning ◽  
Mathematical Foundation ◽  
Research Subjects ◽  
Study Program ◽  
First Semester ◽  
Creative Reasoning ◽  
Geometric Problems ◽  
Education Study ◽  
The Subject ◽  
Creative Mathematical Reasoning

Reasoning that is constructed from remembering is imitative reasoning, while the opposite is creative reasoning. This study aims to explore creative mathematical reasoning in solving geometric problems. Mathematical creative reasoning is reasoning that contains elements of novelty, plausibility, and mathematical foundation. This type of research is descriptive qualitative, which is explorative. The research subjects were the first-semester student in the mathematics education study program with 32 students. The results showed that from 32 students, there was only one student identified as having creative mathematical reasoning in solving geometry problems. Creative mathematical reasoning can be identified when the subject is able to reason algorithmically but is aware of problems so they cannot be resolved algorithmically so that they must form new reasoning, which consists of novelty, plausibility, and mathematical foundation. Creative mathematical reasoning arises after students make an algorithmic reasoning process, but find no solution. Novelty is the weakest indicator of creative mathematical reasoning, so it requires scaffolding to bring it up.

scholarly journals ANALISIS KEMAMPUAN PENALARAN MATEMATIS PADA MATA KULIAH ALJABAR LINEAR ELEMENTER MAHASISWA PENDIDIKAN MATEMATIKA FAKULTAS TARBIYAH DAN KEGURUAN UIN ALAUDDIN MAKASSAR

2021 ◽  
Vol 3 (2) ◽  
pp. 275
Author(s):  
Nur Yuliany ◽  
Andi Halimah ◽  
Feby Manzila ◽  
Nidya Nina Ichiana
Keyword(s):  
Mathematics Education ◽  
Linear Algebra ◽  
Mathematical Reasoning ◽  
Education Department ◽  
Internal Factors ◽  
Average Percentage ◽  
Reasoning Abilities ◽  
Qualitative Descriptive ◽  
Descriptive Approach

AbstrakPenelitian ini bertujuan untuk mengetahui kemampuan penalaran matematis dan mengetahui faktor-faktor yang memengaruhi kemampuan penalaran matematis dalam mata kuliah Aljabar Linear Elementer mahasiswa. Penelitian ini menggunakan pendekatan deskriptif kualitatif menggunakan pupulasi semua mahasiswa angkatan 2017 dengan sampel 72 orang. Teknik pengumpulan data secara tes tertulis, wawancara dan dokumentasi, dengan teknik analisis statistic deskriptif. Hasil yang diperoleh adalah kemampuan penalaran matematis mahasiswa semester II Jurusan Pendidikan Matematika berada pada kategori sedang. Berdasarkan indikator kemampuan penalaran matematis mahasiswa jika dirata-ratakan persentasenya adalah 51,52%. Meskipun terbilang sedang, masih banyak kemampuan-kemampuan yang ditemukan masih tergolong rendah. Indikator yang paling tinggi berada pada kemampuan menarik kesimpulan logis yaitu sebesar 76,53%. Faktor-faktor yang memengaruhi kemampuan penalaran matematis pada mata kuliah Aljabar Linear Elementer mahasiswa semester II Jurusan Pendidikan Matematika adalah faktor internal yaitu minat dan konsentrasi, dimana dalam meningkatkan pemahaman logika mahasiswa, hal ini tentunya berkaitan dengan meningkatkan daya nalar. Hal yang serupa terdapat pada disiplin ilmu matematika yang mampu membuat nalar mahasiswa semakin kritis. Selanjutnya faktor eksternal yaitu perangkat pembelajaran, peran dosen dan lingkungan belajar. AbstractThis study aims to determine the ability of mathematical reasoning and to determine the factors that influence the ability of mathematical reasoning in the Elementary Linear Algebra course of students. This study uses a qualitative descriptive approach using a population of all 2017 students with a sample of 72 people. Data collection techniques are written tests, interviews and documentation, with descriptive statistical analysis techniques. The results obtained are the mathematical reasoning abilities of second semester students of the Mathematics Education Department are in the medium category. Based on the indicators of students' mathematical reasoning abilities, if the average percentage is 51.52%. Even though it is fairly moderate, there are still many abilities that are found that are still relatively low. The highest indicator is in the ability to draw logical conclusions, which is 76.53%. The factors that influence the mathematical reasoning ability in the Elementary Linear Algebra course for second semester students of the Mathematics Education Department are internal factors, namely interest and concentration, where in improving students' understanding of logic, this is of course related to increasing reasoning power. The same thing is found in the discipline of mathematics which is able to make students' reasoning more critical. Furthermore, external factors are learning devices, the role of lecturers and the learning environment.

scholarly journals FLAWS IN PROOF CONSTRUCTIONS OF POSTGRADUATE MATHEMATICS EDUCATION STUDENT TEACHERS

2019 ◽  
Vol 10 (3) ◽  
pp. 379-396
Author(s):  
Zakaria Ndemo
Keyword(s):  
Mathematics Education ◽  
Student Teachers ◽  
Mathematics Teachers ◽  
Teaching And Learning ◽  
Mathematical Proof ◽  
Education Student ◽  
Written Responses ◽  
Induction Strategy ◽  
Proof Comprehension ◽  
Analytic Induction

Intending to improve the teaching and learning of the notion of mathematical proof this study seeks to uncover the kinds of flaws in postgraduate mathematics education student teachers. Twenty-three student teachers responded to a proof task involving the concepts of transposition and multiplication of matrices. Analytic induction strategy that drew ideas from the literature on evaluating students’ proof understanding and Yang and Lin’s model of proof comprehension applied to informants’ written responses to detect the kinds of flaws in postgraduates’ proof attempts. The study revealed that the use of empirical verifications was dominant and in situations. Whereby participants attempted to argue using arbitrary mathematical objects, the cases considered did not represent the most general case. Flawed conceptualizations uncovered by this study can contribute to efforts directed towards fostering strong subject content command among school mathematics teachers.

scholarly journals AN ANALYSIS OF MATHEMATICAL UNDERSTANDING ABILITY VIEWED FROM CREATIVE ATTITUDE

2019 ◽  
Vol 7 (2) ◽  
pp. 114
Author(s):  
Nida Sri Utami
Keyword(s):  
Mathematics Education ◽  
Qualitative Method ◽  
Mathematical Understanding ◽  
Research Use ◽  
Education Student ◽  
Algebra Structure ◽  
Academic Year ◽  
Ability Student

The purpose of this research is to analyze mathematical understanding ability, especially students of  mathematics education at second semester. Understanding ability that was researched is about group of algebra structure. This research use descriptif qualitative method. Subject at this research are second semester  mathematics education student in Universitas Muhammadiyah Surakarta in academic year 2018/2019. Data in this research were  obtained with interview, test, and documentation. Results showed student with high creative attitude has translation ability, interpretation ability, and exploration ability. Student with medium creative attitude has translation ability and  interpretation ability, but  hasn’t exploration ability. Student with low creative attitude has translation ability, but hasn’t interpretation ability and exploration ability

scholarly journals Meningkatkan Pemahaman Peserta Didik Pada Mata Kuliah Kajian Matematika SMP dengan Metode Tutor Sebaya Melalui Diskusi Kelompok Dalam Kegiatan LSLC

2018 ◽  
Vol 2 (1) ◽  
pp. 33 ◽  
Author(s):  
Purwati Purwati ◽  
Jeinne Mumu ◽  
Benidiktus Tanujaya
Keyword(s):  
Qualitative Research ◽  
Mathematics Education ◽  
Learning Outcomes ◽  
Lesson Study ◽  
Junior High ◽  
Education Department ◽  
Peer Tutor ◽  
The Subject ◽  
Open Class

This research was the qualitative research that aimed to improve students understanding of junior high mathematics study. In accordance with the object to be studied, then this research is done in 3 times open class consisting of the plan, do, and see for each cycle, with the subject of research was the students of mathematics education department of FKIP UNIPA whom contracting subjects junior mathematics studies. To improve students understanding of the material, implementation of peer tutor methods was continuously modified based on the findings of each cycle. Based on the results of the implementation of Lesson Study as much as 3 cycles obtained the concluded that the learning outcomes of learners used peer tutor approach that modified each cycle has a significant increase. This was evident from students who answered the test correctly given at the end of each meeting. In the first cycle, from 27 students only 4 who can answer the test correctly that is equal to 14.81%, the second cycle, from 27 learners only 10 which was able to answer the test correctly that was equal to 37,04%, whereas in cycle III, from 26 students 21 students able to answer correctly that was equal to 80,77%

scholarly journals Improvement Students’ Activities and Cognitive Learning Outcomes of Hasyim Asy’ari University through Guided Discovery Learning

2017 ◽  
Vol 2 (3) ◽  
pp. 206
Author(s):  
Nur Hayati ◽  
Ninda Ayu Berlianti
Keyword(s):  
Learning Outcomes ◽  
Cognitive Learning ◽  
Discovery Learning ◽  
Education Department ◽  
Guided Discovery ◽  
Learning Outcomes Assessment ◽  
Assessment Sheet ◽  
Faculty Of Education ◽  
Academic Year ◽  
Cognitive Learning Outcomes

Learning science is not only related to the acquisition of knowledge but also a process of discovery. Based on learning observations, it was known that the activities and cognitive learning outcomes of Science Education department students, Faculty of Education, Hasyim Asy’ari University Jombang still low. Alternative learning that can be done to improve the activities and cognitive learning outcomes of students was guided discovery learning. This research was Classroom Action Research (PTK) with two cycles were carried out in the second semester of the 2015/2016 academic year. The research instruments were students’ activities assessment sheet, cognitive learning outcomes assessment sheet, learning observation sheet, and questionnaire responses of students to the learning process. Qualitative data were analyzed descriptively and quantitative data were analyzed by comparing the percentage students’ activities and cognitive learning outcomes in the cycle I and the cycle II. The result of this research were the percentage of students’ activities increased from 61,30% to 71,68%. Average of cognitive learning outcomes has increased from 73.68 to 80.04 and the percentage of cognitive achievement increased from 68.18% to 81.81%. The conclusion of this research was the guided discovery learning can improve the students’ activities and cognitive learning outcomes. 

scholarly journals Validitas Lembar Kerja Peserta Didik Berbasis Penemuan Terbimbing dalam Upaya Meningkatkan Pemahaman Konsep dan Kemampuan Penalaran Matematis

2018 ◽  
Vol 1 (2) ◽  
pp. 56
Author(s):  
Aan Putra ◽  
Hendra Syarifuddin ◽  
Zulfah Zulfah
Keyword(s):  
Qualitative Research ◽  
Mathematics Education ◽  
Teaching And Learning ◽  
Mathematical Reasoning ◽  
Mathematical Concepts ◽  
Guided Discovery ◽  
Reasoning Abilities ◽  
Teaching And Learning Quality ◽  
Abstract Learning

Abstract. Learning equipment is important things that determine the quality of the learning process and output. We need a study about validity, practicality, and effectiveness of the learning equipment to ensure teaching and learning quality. The purpose of this research is to evaluate the validity of the learning equipment based on guided discovery, especially the students’ worksheets. This research was a descriptive qualitative research that provides the result of students’ worksheets and experts recommendation. The experts who validated these student’s worksheets were three experts on mathematics education. The instruments used in this study was the validation sheets for LKPD. The result of validation sheets analysis for LKPD showed that in general, the students’ worksheets were valid. The validity of the didactical aspect and contents aspect sequently were 0,667 dan 0,704. Keywords: students’ worksheets, guided discovery, mathematical concepts understanding, mathematical reasoning abilities Abstrak. Perangkat pembelajaran merupakan kelengkapan pelaksanaan proses pembelajaran yang sangat penting dan menentukan capaian proses dan hasil pembelajaran. Untuk menjamin kualitas perangkat pembelajaran, dibutuhkan kajian khusus untuk menilai validitas, praktikalitas dan efektifitas perangkat pembelajaran yang digunakan. Penelitian ini bertujuan untuk menilai aspek validitas perangkat pembelajaran, khususnya Lembar Kerja Peserta Didik (LKPD) berbasis penemuan terbimbing yang digunakan dengan tujuan meningkatkan kemampuan pemahaman konsep dan penalaran matematis siswa. Penelitian ini merupakan penelitian kualitatif deskriptif yang menyajikan data hasil validasi dan saran validator terhadap validitas LKPD berbasis penemuan terbimbing. Validator terdiri dari tiga orang pakar pendidikan Matematika. Instrumen yang digunakan adalah lembar validasi LKPD. Hasil analisis terhadap lembar validasi menunjukkan bahwa secara umum LKPD memenuhi kriteria valid. Validitas aspek didaktik dan aspek isi berturut-turut adalah 0,667 dan 0,704. Kata Kunci: validitas lembar kerja peserta didik,  penemuan terbimbing, pemahaman konsep matematis, kemampuan penalaran matematis

KEMAMPUAN PENALARAN MATEMATIS SISWA DENGAN MODEL PEMBELAJARAN DISCOVERY LEARNING DAN KOOPERATIF TIPE JIGSAW

2021 ◽  
Vol 8 (3) ◽  
pp. 21-27
Author(s):  
Lasmi Lasmi ◽  
Masri Masri
Keyword(s):  
Cooperative Learning ◽  
Mathematical Reasoning ◽  
Simple Random Sampling ◽  
Learning Model ◽  
Discovery Learning ◽  
Learning Models ◽  
Reasoning Abilities ◽  
Class 1 ◽  
Post Test ◽  
Quasi Experimental

AbstrakTujuan penelitian ini adalah mengetahui perbedaan kemampuan penalaran matematis siswa antara model discovery learning dan jigsaw. Jenis penelitian adalah eksperimen semu. Tempat penelitian diaksanakan di SMP Negeri 18 Kota Bengkulu. Populasi pada penelitian seluruh siswa kelas VII. Sampel penelitian dipilih secara acak sederhana yaitu kelas VII.1 sebagai kelas eksperimen 1, pembelajaran dengan menggunakan model discovery learning, kelas VII.5 sebagai kelas eksperimen 2, pembelajaran dengan menggunakan model kooperatif tipe jigsaw, dan kelas VII.3 sebagai kelas kontrol, pembelajaran dengan menggunakan model pembelajaran konvensional. Hasil penelitian ini menunjukan bahwa kelas eksperimen 1 memperoleh nilai rata-rata tes akhir (post-test) kemampuan penalaran matematis siswa yaitu 12,13, nilai rata-rata eksperimen 2 yaitu 11,45, dan nilai rata-rata kelas kontrol yaitu 9,26. Berdasarkan hasil analisis uji anava satu jalur, dengan signifikan 0,05 diperoleh 𝐹ℎ𝑖𝑡𝑢𝑛𝑔 = 𝐹𝑡𝑎𝑏𝑒𝑙 = 0,34, maka H0 ditolak. Artinya ada perbedaan signifikan rata-rata kemampuan penalaran matematis siswa pada kelas eksperimen 1, kelas eksperimen 2, dan kelas kontrol. Berdasarkan uji beda nyata (BNT) menunjukan bahwa pembelajaran yang memberikan hasil penalaran matematis yang berbeda adalah model pembelajaran discovery learning dengan konvensional, dan model kooperatif tipe jigsaw dengan konvensional. Sedangkan pembelajaran dengan model discovery learning dan model kooperatif tipe jigsaw tidak memberikan hasil kemampuan penalaran matematis siswa yang berbeda. Model discovery learning dan model kooperatif tipe jigsaw memberikan hasil lebih baik bila dibandingkan dengan model konvensional.Kata kunci: kemampuan penalaran matematis, model discovery learning, model Jigsaw AbstractThe purpose of this study was to determine students' mathematical reasoning abilities with discovery learning models and jigsaw type cooperative learning models. This type of research is quasi-experimental research. The population in this study were all students of class VII SMP Negeri 18 Bengkulu City in the   academic year 2019/2020. The sample of this study was selected by simple random sampling, namely class VII.1 as experimental class 1 using the discovery learning models, class VII.5 as experimental class 2 using the jigsaw type cooperative learning models, and class VII.3 as control class using conventional learning models. Data were collected by means of tests of students' mathematical reasoning abilities. Based on the results of the one-way ANOVA test, there are significant differences in students' mathematical reasoning abilities in the experimental class 1, experiment class 2 and the control class. The results          of the real difference test (BNT) show that learning that gives different results is the discovery learning models with conventional learning models, and the jigsaw type cooperative learning model with conventional learning models. Meanwhile, learning with discovery learning models and jigsaw type cooperative learning models does not give different results for students' mathematical reasoning abilities. Discovery learning models and jigsaw type cooperative learning models give better results when compared to conventional learning.Keywords: mathematical   reasoning   ability,   discovery   learning   model,   Jigsaw   model

MENINGKATKAN PELAKSANAAN DISCOVERY LEARNING DENGAN METODE BIMBINGAN KELOMPOK PADA GURU SD KECAMATAN PALAS

2020 ◽  
Vol 2 (1) ◽  
pp. 51-66
Author(s):  
Laila Ratna
Keyword(s):  
Elementary School Teachers ◽  
Primary Schools ◽  
Discovery Learning ◽  
Education Department ◽  
School Teachers ◽  
National Education ◽  
Teacher Understanding ◽  
Research Cycle ◽  
Academic Year ◽  
Good Workability

Lack of teacher understanding of techniques and ways of carrying out Discovery Learning in learning, especially elementary school teachers in Supervisory Primary Schools. The purpose of the study was to improve the implementation of Discovery Learning by the Group Guidance method for Elementary Teachers in Palas Subdistrict, South Lampung in 2018/2019 Academic Year. The research method uses School Action Research (PTS), with research flow within the 2004 National Education Department, the research cycle starts from planning (planing), organizing, observing and reflecting and following up. Data collection techniques were obtained through observation of activities, mentoring performance, implementation of Discovery Learning in learning, partnering with partners and colleagues. The results of Cycle I Counseling Performance reached a score of 44 (65%) Good category, Workability 19 (63%), Activity 18 (60%) Active. Cycle II Counseling Performance reached a score of 52 (76%) Good categories, Workability 21 (70%), Activity 23 (73%) Active. Cycle III Counseling Performance reached a score of 66 (97%) in the category of Very Good, Workability 26 or (87%), Activity 28 (93%) Active.

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