scholarly journals KEEFEKTIFAN PENDEKATAN KONSTRUKTIVISME TERHADAP KEMAMPUAN PENALARAN MATEMATIS MAHASISWA PADA MATA KULIAH ANALISIS REAL

2018 ◽  
Vol 3 (2) ◽  
pp. 148-152
Author(s):  
Fitriani Fitriani ◽  
Yulia Anita Siregar

Abstract. This research was conducted at University of Muhammadiyah South Tapanuli in semester VI student of mathematics education program that follow Real Analytical course. This study aims to determine students' mathematical reasoning ability after using constructivism approach and also want to know the effectiveness of constructivism approach to mathematical reasoning ability, as well as expected to give benefit to lecturer of Real Analysis course lecturer. The method used to achieve the goal is by experimental method with pre-experimental design research design. This research produces: A very effective constructivism approach is used to teach real analysis courses. There is an increase in students' mathematical reasoning abilities after using constructivism approach.Keywords: Constructivism, Mathematical Reasoning, Real Analysis.

2019 ◽  
Vol 3 (1) ◽  
pp. 72
Author(s):  
Widya Rizkha Sandy ◽  
Siti Inganah ◽  
Anis Farida Jamil

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.


2018 ◽  
Vol 1 (2) ◽  
pp. 113
Author(s):  
Septian Woro Drupadi ◽  
Jeinne Mumu

This research was conducted to analyze the mathematical Inductive reasoning abilities of students’ mathematics education UNIPA. Research on inductive mathematical reasoning skills using qualitative methods using observation techniques, tests and interviews. The results showed that the mathematical inductive reasoning abilities of mathematics education students UNIPA were mostly in the moderate category. Students' inductive reasoning ability on each indicator is the ability to present mathematical statements in writing or drawings of 66.66%, the ability to submit suspicions by 26.66%, mathematical manipulation ability of 29.44%, ability to compile evidence, provide reasons or evidence for some solutions of 5.82%, finding patterns or traits of mathematical symptoms to generalize of 30.27%, examining validity of arguments 11.32% and drawing conclusions from statements of 5.27%.


2018 ◽  
Vol 7 (2) ◽  
pp. 83 ◽  
Author(s):  
Heris Hendriana ◽  
Rully Charitas Indra Prahmana ◽  
Wahyu Hidayat

This study aims to examine mathematics teacher-candidate students’ mathematical creative reasoning ability based on the level of Adversity Quotient (AQ). This study uses a mixed method of sequential type by combining quantitative and qualitative methods in order. Population in this study is all students attending the course of Calculus in Mathematics Education of Master Program at STKIP Siliwangi that consist of 270 students divided into six classes. The results are AQ gives effect to the achievement of students’ mathematical creative reasoning abilities based on the whole and the type of AQ climber, champer, and quitter. The achievement of students’ mathematical creative reasoning abilities and based on AQ, the champer and climber fall into the medium category, while on the quitter type, it falls into the category of low. On the other hands, the achievement of students’ mathematical creative reasoning abilities is yet to be achieved well at the indicator of novelty.


AL-TA LIM ◽  
2020 ◽  
Vol 27 (3) ◽  
pp. 282-290
Author(s):  
Elfi Rahmadhani ◽  
Septia Wahyuni

This article was written aiming to look at the application of the model Missouri Mathematics Project (MMP) in enhancing reasoning ability and the Advanced Mathematical Thinking (AMT) of students. This research is an experimental study with a quantitative approach and Randomized Pretest-Posttest Control Group Design research design. The sample in this study were students of class XI.1 who became an experimental class by giving treatment in the form of learning model  Missouri Mathematics Project (MMP) and class XI.2 students as a control class by giving treatment using conventional learning. The instruments in this study were tests in the form of pretest and posttest which were used to see the improvement of reasoning ability and the Advanced Mathematical Thinking (AMT) of students. Based on the results of the study it can be concluded that the model Missouri Mathematics Project (MMP) can improve students' reasoning abilities and the Advanced Mathematical Thinking (AMT). For reasoning ability, the average N-gain of the experimental class is 0.76 while the N-gain for the control class is 0.13, while for Advanced Mathematical Thinking (AMT) the average N-gain of the experimental class is 0.66 while the N-gain for the control class is 0.49.


2020 ◽  
Vol 4 (2) ◽  
pp. 147
Author(s):  
Saddam Al Aziz ◽  
Ali Azmar ◽  
Defri Ahmad ◽  
Fridgo Tasman ◽  
Ronal Rifandi

This study aims to analyze the mathematical reasoning abilities of students in the mathematics education study program in the secondary school mathematics curriculum review course. This research was conducted by giving quiz questions in the form of descriptions to a class of students who were then analyzed the answers. The results of the student's answer analysis show that the students' mathematical reasoning ability is still low. The low level of students' mathematical reasoning skills in general lies in the ability of students to analyze problems, make conjectures, determine relationships between variables, and identify links between processes or concepts in a given case. So that many answers from students are not logical and wrong in concluding.


Author(s):  
Hanifah Nurus Sopiany

Penalaran matematis menggunakan pola pikir logis dalam menganalisa suatu masalah yang nanti pada akhirnya akan ditandai dengan aktivitas menyimpulkan atas masalah tersebut. Seseorang yang memiliki penalaran yang baik, tentunya akan berhati-hati dalam bertindak dan memutuskan sesuatu. Materi-materi pada kalkulus merupakan materi yang ada pada tingkat sekolah menengah yang nantinya menjadi lahan mengajar mahasiswa calon guru matematika S-1. Kemampuan penalaran yang dikaji mempengaruhi pembelajaran mahasiswa kedepannya karena berlaku pada matakuliah lanjut, contohnya pada kemampuan pembuktian akan selalu digunakan pada matakuliah persamaan diferensial, struktur aljabar, analisis  vektor, analisis real, dll. Sedangkan sebagai calon guru yang nantinya mengajar pada tingkat sekolah menengah, maka kemampuan penalaran ini menjadi salah satu capaian pembelajaran matematika bagi siswa sekolah menengah, maka oleh karena itu guru yang mengajarnya haruslah memiliki kemampuan penalaran yang baik. Analisis kesalahan sangat penting untuk melakukan evaluasi dan refleksi pada struktur soal maupun pada perlakuan dalam pembelajaran dalam upaya memperbaiki kemampuan penalarannya.   Mathematical reasoning uses a logical mindset in analyzing a problem that will eventually be marked by concluding activity on the problem. Someone who has good reason, will certainly be careful in acting and deciding something. The material content on the calculus is the material that exists at the secondary school level which will become the field of teaching the prospective master of math teacher bachelor. The reasoning ability studied influences student learning in the future as it applies to advanced courses, for example in the ability of proof will always be used in the course of differential equations, algebraic structure, vector analysis, real analysis, etc. While as a teacher candidate who will teach at the secondary school level, then this reasoning ability becomes one of the achievements of mathematics learning for high school students, therefore teachers who teach it must have good reasoning ability. Error analysis is very important to evaluate and reflect on the problem structure as well as on the treatment in learning in order to improve the reasoning ability.


2018 ◽  
Vol 1 (2) ◽  
pp. 56
Author(s):  
Aan Putra ◽  
Hendra Syarifuddin ◽  
Zulfah Zulfah

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


Author(s):  
Ibnu Raash Aleslami ◽  
Ani Minarni ◽  
KMS. M. Amin Fauzi

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.


2018 ◽  
Vol 1 (1) ◽  
pp. 14 ◽  
Author(s):  
Jeinne Mumu ◽  
Benidiktus Tanujaya

<span lang="EN">This research aims to design student learning activities on the concept of sets, especially operations on the sets. The research was conducted by using design research method with a mathematics realistic education approach. The subjects of this study are 42 students of mathematics education at the University of Papua taking lecture of realistic mathematics education. There are three stages in the implementation of this research, namely preliminary design, experimental design, and retrospective analysis. The results of the study show that the use of game "Lemon Nipis" can develop students' understanding significantly to the concept of operations on the sets. </span><span lang="EN-US">students are able to understand well and correctly basic operations on the sets, union, intersection, and exponentiation.</span>


2019 ◽  
Vol 8 (2) ◽  
pp. 341-352
Author(s):  
Asurya Octaviyunas ◽  
Arta Ekayanti

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.


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