The Development of Teacher Efforts to Improve The Mathematical Reasoning Abilities Through The Problem Based Learning

The purpose of this study is to determine teacher efforts to improve students' mathematical reasoning abilities through the Problem Based Learning model. This research is a classroom action research consisting of two cycles, namely planning, implementation, observation, and reflection. The research subjects were 28 students of class VII-1 SMP Negeri 2 Siantan, Anambas Islands Regency. The research instrument used was the teacher's observation sheet and the mathematical reasoning ability test. Data collection is done through observation and tests. The data obtained were analyzed qualitatively and described in a descriptive form. The results obtained are the mathematical reasoning ability of students in the first cycle of 2.27 and the second cycle of 2.83. Based on the results of the study showed that the efforts of teachers made in the second cycle were better than the first cycle, so that an increase in students' mathematical reasoning abilities in the second cycle was in the good category.

Download Full-text

PROFIL ANALOGICAL REASONING SISWA SMA

INKUIRI: Jurnal Pendidikan IPA ◽

10.20961/inkuiri.v10i1.39484 ◽

2021 ◽

Vol 10 (1) ◽

Author(s):

Riyadhotus Sholihah

Keyword(s):

Problem Solving ◽

Data Collection ◽

Qualitative Study ◽

Analogical Reasoning ◽

Reasoning Ability ◽

Research Subjects ◽

Learning Methods ◽

Reasoning Abilities ◽

Two Sides ◽

Analogous Reasoning

Analogical reasoning is the ability to solve problems by finding similarities between two objects, namely source and target objects. The purpose of this study was to determine the analogical reasoning profile of students at SMA N 16 Semarang. This study is included in a qualitative study with data collection techniques used in surveys by working on analogical reasoning problems. The research subjects were 100 students of class X. The results found in this study were the category of analogical reasoning ability of students of SMA N 16 Semarang low with a frequency of 74 and a percentage of 73.6%. The low ability of analogical reasoning students is influenced by the lack of learning methods that encourage students in problem-solving using analogies, besides analogies have two sides if understood will facilitate students' understanding of concepts, but if it cannot be understood misconceptions occur so teachers rarely use analogous reasoning in explaining material abstract. Therefore it is necessary to have an understanding and experience of the teacher to build this ability by using learning methods that support analogical reasoning abilities.

Download Full-text

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

Download Full-text

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.

Download Full-text

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.

Download Full-text

Kemampuan Penalaran Matematis Siswa SMP dalam Menyelesaikan Soal HOTS Geometri

JIPM (Jurnal Ilmiah Pendidikan Matematika) ◽

10.25273/jipm.v10i2.8819 ◽

2021 ◽

Vol 10 (2) ◽

pp. 268

Author(s):

Ana Siti Rosyidah ◽

Erry Hidayanto ◽

Makbul Muksar

Keyword(s):

Data Analysis ◽

Data Collection ◽

Key Words ◽

Mathematical Reasoning ◽

Reasoning Ability ◽

Reasoning Abilities ◽

High Category ◽

School Year ◽

Descriptive Qualitative

Abstrak: Penelitian ini bertujuan untuk mendeskripsikan kemampuan penalaran matematis siswa dalam menyelesaikan soal HOTS geometri. Metode yang digunakan adalah kualitatif deskriptif. Penelitian dilaksanakan di SMPN 1 Madiun pada 32 siswa kelas IX H tahun ajaran 2020/2021. Selanjutnya, dipilih satu subjek pada masing-masing kategori yaitu kemampuan penalaran matematis tinggi, kemampuan penalaran matematis sedang, dan kemampuan penalaran matematis rendah untuk dilakukan analisis data dengan melihat kemampuan penalaran matematis siswa berdasarkan indikator; mengajukan dugaan, melakukan manipulasi matematika, memberikan alasan atau bukti dan menarik kesimpulan. Teknik pengumpulan data dalam penelitian ini menggunakan tes dan wawancara. Hasil penelitian ini menunjukkan bahwa siswa yang mempunyai kemampuan penalaran kategori rendahmenuliskan jawaban dengan tidak tepat dan hanya memenuhi indikator penalaran matematis pertama yakni mengajukan dugaan. Siswa yang memiliki kemampuan penalaran matematis kategori sedang menjawab soal kurang lengkap dan memenuhi dua indikator penalaran matematis; mengajukan dugaan dan menarik kesimpulan. Siswa yang memiliki kemampuan penalaran matematis kategori tinggi menuliskan jawaban dengan tepat, lengkap dan memenuhi semua indikator penalaran matematis: mengajukan dugaan, melakukan manipulasi matematika, memberikan alasan atau bukti dan menarik kesimpulan.Kata kunci: Penalaran matematis; Soal HOTS, GeometriAbstract: This study aims to describe students' mathematical reasoning abilities in solving geometric HOTS problem. The method used is descriptive qualitative. The research was conducted at SMPN 1 Madiun on 32 students of class IX H for the 2020/2021 school year. Furthermore, one subject was selected in each category, namely high mathematical reasoning ability, medium mathematical reasoning ability, and low mathematical reasoning ability for data analysis by looking at students' mathematical reasoning abilities based on indicators; making conjectures, performing mathematical manipulations, providing reasons or evidence and drawing conclusions. Data collection techniques in this study used tests and interviews. The results of this study indicate that students who have low category reasoning abilities write answers incorrectly and only satisfy the first mathematical reasoning indicator, namely making conjectures. Students who have the medium category of mathematical reasoning write answer incomplete and satisfy two indicators of mathematical reasoning; making conjectures and drawing conclusions. Students who have high category mathematical reasoning abilities write answers accurately, completely and satisfy all indicators of mathematical reasoning: making conjectures, performing mathematical manipulations, providing reasons or evidence and drawing conclusions.Key words: Mathematical reasoning; HOTS Problem, Geometry

Download Full-text

MENINGKATKAN KEMAMPUAN PENALARAN MATEMATIS SISWA MELALUI PEMBELAJARAN BERBASIS MASALAH MATERI PELUANG KELAS XI TKRO-A SMKN 4 JAKARTA

VOCATIONAL: Jurnal Inovasi Pendidikan Kejuruan ◽

10.51878/vocational.v1i4.739 ◽

2021 ◽

Vol 1 (4) ◽

pp. 210-220

Author(s):

SOPWATILLAH SOPWATILLAH

Keyword(s):

Action Research ◽

Mathematical Reasoning ◽

Problem Based Learning ◽

Use Patterns ◽

Reasoning Abilities ◽

The Third ◽

Solution Processes ◽

Reasoning Test ◽

Learning Mathematics ◽

Classroom Action Research

This study aims to improve students' mathematical reasoning skills through the application of problem-based learning in class XI TKRO-A SMK Negeri 4 Jakarta which involves 6 students. This research is classroom action research which is carried out in three cycles and each cycle consists of four stages, namely planning, implementation, observation, and reflection. Students are given a test at the end of each cycle to measure their mathematical reasoning ability. The results showed that learning mathematics through the application of problem-based learning can improve mathematical reasoning abilities from pre-study of 39.34 in the first cycle of 67.65 in the second cycle of 72.24 to 74.08 in the third cycle. The conclusion of this study is that the application of problem-based learning can improve students' mathematical reasoning abilities. Improved mathematical reasoning abilities include aspects: the ability to predict answers and solution processes, use patterns and relationships to analyze mathematical situations, draw logical conclusions from statements, and provide explanations using models, facts and relationships in solving problems. The number of students whose mathematical reasoning scores reached or exceeded 75 also increased. In the preliminary study, there were no students whose mathematical reasoning test scores reached or exceeded 75, while in the first cycle as many as 41.18% students, in the second cycle increased to 61.77% students, and in the third cycle increased to 82.35% students. ABSTRAKPenelitian ini bertujuan untuk meningkatkan kemampuan penalaran matematis siswa melalui penerapan pembelajaran berbasis masalah di kelas XI TKRO-A SMK Negeri 4 Jakarta yang melibatkan 6 siswa. Penelitian ini adalah penelitian tindakan kelas (classroom action research) yang dilaksanakan dalam tiga siklus dan tiap siklus terdiri dari empat tahapan, yaitu perencanaan, pelaksanaan, observasi, dan refleksi. Siswa diberikan tes pada setiap akhir siklus untuk mengukur kemampuan penalaran matematis. Hasil penelitian menunjukkan bahwa pembelajaran matematika melalui penerapan pembelajaran berbasis masalah dapat meningkatkan kemampuan penalaran matematis dari pra penelitian sebesar 39,34 siklus I sebesar 67,65 siklus II sebesar 72,24 menjadi 74,08 pada siklus III. Kesimpulan penelitian ini adalah bahwa penerapan pembelajaran berbasis masalah dapat meningkatan kemampuan penalaran matematis siswa. Peningkatan kemampuan penalaran matematis meliputi aspek: kemampuan memperkirakan jawaban dan proses solusi, menggunakan pola dan hubungan untuk menganalisis situasi matematika, menarik kesimpulan logis dari pernyataan, dan memberikan penjelasan dengan menggunakan model, fakta dan hubungan dalam menyelesaikan soal. Jumlah siswa yang nilai penalaran matematisnya mencapai atau melebihi 75 juga mengalami peningkatan. Pada penelitian pendahuluan belum terdapat siswa yang nilai tes penalaran matematisnya mencapai atau melebihi 75, sedangkan pada siklus I sebanyak 41,18% siswa, pada siklus II meningkat menjadi 61,77% siswa, dan pada siklus III meningkat menjadi 82,35% siswa.

Download Full-text

PENGARUH METODE INKUIRI TERBIMBING TERHADAP KEMAMPUAN PENALARAN DAN SELF CONFIDENCE SISWA SMP

JPMI (Jurnal Pembelajaran Matematika Inovatif) ◽

10.22460/jpmi.v1i3.p401-408 ◽

2018 ◽

Vol 1 (3) ◽

pp. 401

Author(s):

Neti Nuryanti ◽

Tina Rosyana ◽

Euis Eti Rohaeti

Keyword(s):

Mathematical Reasoning ◽

Research Result ◽

Control Group ◽

Reasoning Ability ◽

Guided Inquiry ◽

Control Group Design ◽

Ability Test ◽

Self Confidence ◽

Inquiry Method ◽

Better Than

This study aims to examine the achievement of mathematical reasoning ability and self confidence of MTs students using guided inquiry method compared with using ordinary learning. The method used in this study is a quasi-experimental method, with a pretest and postes experimental-control group design. The population in this study is all MTs students in West Bandung regency, while the sample of the research is as much as two classes are selected to be experimental class and control class. The experimental class gained learning by guided inquiry method and the control class gained regular learning. The instrument used is a matter of reasoning ability test and non test self confidence matter. Data of research result are tested and analyzed quantitatively by using statistical test (t test). The conclusions obtained are as follows: 1) students' mathematical reasoning ability that obtains learning with guided inquiry method is better than students who gain ordinary learning; 2) the ability of self confidence students who gain learning with guided inquiry method is better than students who get regular learning.

Download Full-text

Penerapan Model Pembelajaran Problem Solving Dengan Pendekatan Saintifik Pada Kemampuan Penalaran Matematis Siswa Kelas VIII B SMP Negeri 1 Padamara

AlphaMath : Journal of Mathematics Education ◽

10.30595/alphamath.v6i1.7943 ◽

2020 ◽

Vol 6 (1) ◽

pp. 62

Author(s):

Dyah Ayu Nur Khoeriyah ◽

Ahmad Ahmad

Keyword(s):

Problem Solving ◽

Junior High School ◽

Mathematical Reasoning ◽

Action Planning ◽

Reasoning Ability ◽

Ability Test ◽

Average Value ◽

Reasoning Abilities ◽

Flat Side ◽

Class Viii

This study aims to improve students' mathematical reasoning abilities in learning mathematics through Problem Solving with Scientific approaches. The subjects in this study were all students of class VIII B, Padamara 1 st junior high school, totaling 33 students. This research was conducted in 3 cycles, each cycle consisting of 2 meetings. Each cycle in this study includes action planning, action implementation, observation and reflection. To measure the ability of mathematical reasoning is evaluated using the mathematical reasoning ability test. Based on the results of the study, the mathematical reasoning ability of the first cycle obtained an average value of 40.9, the second cycle obtained an average value of 60.15, and the third cycle obtained an average value of 63.3. The conclusion obtained from this study is that learning with Problem Solving with the Scientific approach can improve the mathematical reasoning ability of students of class VIII B Padamara 1 N Middle School, especially the subject of Building a Flat Side Room.

Download Full-text

CAPAIAN KEMAMPUAN PENALARAN MATEMATIS SISWA DENGAN MODEL AIR

Numeracy ◽

10.46244/numeracy.v7i1.997 ◽

2020 ◽

Vol 7 (1) ◽

pp. 35-48

Author(s):

Nuralam Nuralam ◽

Maulidayani Maulidayani

Keyword(s):

Mathematical Reasoning ◽

Learning Model ◽

Control Group ◽

Reasoning Ability ◽

Learning Models ◽

Test Statistic ◽

Control Group Design ◽

Ability Test ◽

Cluster Technique ◽

Reasoning Abilities

The mathematical concept learned in school require mathematical reasoning abilities. But the test results show the students’ mathematical reasoning ability is still relatively low. To overcome this problem, applied a learning model called Auditory Intellectually Repetition (AIR). AIR can develop mathematical reasoning abilities students through problem solving. The purpose of this study is to describe the mathematical reasoning abilty of students through the AIR learning model is higher than taught through conventional learning models.. The research design used was quasi experiment with pretest-posttest control group design. The populations in this study were all of the Eighth Grade Students of SMPN 1 Jantho and the samples taken were classes VIII-2 and VIII-1 by using the random cluster technique sampling. The data collected wasby using the mathematical reasoning ability test. The result of research through the right-hand t-test statistic test obtained 3.79 > 1.68 then accept Ha reject Ho. Therefore, it was concluded that the students’ mathematical reasoning ability learned through the AIR learning model were higher than those taught conventional learning models. Abstrak Konsep matematika dipelajari di sekolah memerlukan kemampuan penalaran matematis. Namun hasil tes menunjukkan kemampuan penalaran matematis siswa masih tergolong rendah. Salah satu alternatif membuat kemampuan penalaran matematis lebih baik melalui model pembelajaran Auditory Intelectually Repetition (AIR). Penelitian ini bertujuan mendeskripsikan kemampuan penalaran matematis siswa yang diajarkan dengan model AIR lebih baik daripada siswa yang diajarkan dengan pembelajaran konvensional. Rancangan penelitian menggunakan quasi eksperimen dengan desain pretest-posttest control grup design. Populasi dalam penelitian seluruh siswa kelas VIII SMPN 1 Kota Jantho dan sampelnya kelas VIII-2 dan VIII-1 dipilih dengan teknik cluster random sampling. Data yangdikumpulkan dengan menggunakan tes kemampuan penalaran matematis. Hasil penelitian melalui uji statistik uji-t pihak kanan diperoleh thitung > ttabel yaitu 3,79 > 1,68 maka Ha tolak Ho. Disimpulkan bahwa kemampuan penalaran matematis siswa yang diajarkan dengan model AIR lebih baik daripada yang diajarkan denganpembelajaran konvensional. Kata Kunci: Model Pembelajaran, Model Air, Kemampuan Penalaran Matematis

Download Full-text

The Difference between Mathematical Reasoning Ability Improvement by Learning with Meta Cognitive Approach Aided Probing and Prompting Techniques in SMP Negeri 4 SeiSuka

World Journal of Educational Research ◽

10.22158/wjer.v4n1p120 ◽

2016 ◽

Vol 4 (1) ◽

pp. 120 ◽

Cited By ~ 1

Author(s):

Nadran Hamdani Siregar ◽

Kms. M. AminFauzi

Keyword(s):

Mathematical Reasoning ◽

Descriptive Analysis ◽

Reasoning Ability ◽

Validity And Reliability ◽

Technical Approach ◽

Cognitive Approach ◽

Reasoning Abilities ◽

Class Viii ◽

The Difference ◽

Better Than

The purpose of this study were: (1) analyzed the differences in students’ mathematical reasoning ability improvement taught by metacognition approach aided probing technique (PMT-probing) and metacognition approach aided prompting technique (PMT-prompting); and (2) described the process of the students’ responses in solving mathematical reasoning abilities. This study was a quasi experimentalresearch. The population in this study were all students of class VIII SMP Negeri 4 SeiSuka, with a purposive sampling techniques, the obtained sample was VIII-1 and VIII-2. The research instrument used a test of mathematical reasoning ability, and had qualified the criteria of content validity, and reliability coefficient of 0.819. Anova two ways was used to analyze the difference of mathematical reasoning ability improvement, while descriptive analysis was used to analyze students’ answers process. The results showed that: (1) There were differences in students’ mathematical reasoning skills improvement which were taught by metacognition approach aided probing techniques and the students taught by prompting technical approach; and (2) The process of the students’ responses on students’ mathematical reasoning abilitythrough learning with metacognition approach aided by prompting techniques was better than metacognition approach aided by probing techniques.

Download Full-text