scholarly journals The Beauty of Mathematics: Learning Mathematics by Questioning

Author(s):  
Nathan Oigo Mokaya ◽  
Walter Nyakung’u ◽  
Samuel Tiluk

Mathematics problems may seem to have no real use in life, but this could be further from the truth. The use of mathematics is everywhere in our daily lives and, without discovering it; we apply mathematics ideas, as well as the skills we learn from executing mathematical challenges every day. Unfortunately, mathematics feedback at national examinations is deficient. A mean of between 23 to 29 percent for 5 years in a row from 2014 to 2018 is a clear indication that the training of students today for tomorrow’s workplace with concept development in context, problem solving through interactive experiences and understanding through application is missed. Over this period, the evaluation of the outcome has also shown a standard deviation almost equal to the mean or even greater than the mean for instance 2016 for paper 2 (refer to Kenya National Examinations Council Report) is a clear sign that there is a big disparity from the mean and a likelihood of a number of students scoring zeros or below 10 percent. This dismal performance in national examinations particularly in mathematics demonstrates that contextual curricula and instructions that encourage numerous structures of learning like relating, transferring, applying, experiencing and collaborating are not achieved. Therefore, this article looks into different contexts in which students learn and how they broaden their abilities to make connections, enjoy discovery, and apply the knowledge learnt. These are abilities they will need throughout their daily lives and careers. Being able to do arithmetic is of little ultimate use to an individual unless he or she can apply it. Each arithmetic operation is explored in detail for its applications in the real world problems. Real life challenges motivate ideas and provide additional settings for practice.

2020 ◽  
Vol 11 (1) ◽  
pp. 109-115
Author(s):  
Fifi Aris Wulandari ◽  
Urip Meilina Kurniawati ◽  
Moh. Agung Rohimawan

The purpose of this study was to determine the problems of mathematics in "thematic learning at the SD / MI level.This research uses a qualitative approach. The qualitative research design was carried out with a library research (library research) using various sources of literature as a source of research data. Sources of data in this study consist of secondary data and primary data. The data obtained were then analyzed descriptively which was presented systematically and objectively.The results of the study are students feeling bored, afraid when learning mathematics, the teacher still dominates in the learning process, the problems or problems conveyed by the teacher are still not contextual with the students' real life. Media, methods, strategies, and learning models applied by teachers do not pay attention to the characteristics of students. The thematic learning process of basic mathematics competence has not yet paid attention to the characteristics of mathematics learning, students have difficulty in understanding foreign symbols and languages. Solution to the problematics of mathematics in thematic learning, namely the teacher pays attention to 5 factors in the process of learning mathematics, namely personal, instructional, environmental, identity and socio-cultural factors. So the mathematical achievements of students can increase and have high-level thinking skills.


Author(s):  
Bakry Bakry ◽  
Md Nor Bin Bakar

Higher order thinking skills (HOTS) is one of the important aspect of teaching and learning mathematics. By using HOTS, student will be able to acquire a deep understand of mathematical concepts and can be applied in real life. Students ability to develop the capacity of the HOTS is closely related with thinking processes while solving mathematics problems. This research focused, at describing the thinking process of students in solving mathematical problem involving HOTS problem. The method used is a qualitative method and case study design, the data collected through mathematics tests and interviews. There are 3 students selected as participant Data analysis techniques are descriptive qualitative, analysis according to the model proposed by Miles and Huberman (1992), namely data reduction, data presentation and conclusion. The result of the study showed that the students thinking process in solving mathematics problem is by using the systematic thinking (1) creating of meaning (2) making of opinion, and 3) making conclution.


2017 ◽  
Vol 1 (2) ◽  
pp. 24-35
Author(s):  
Putriyani Samsul

This is a pre experimental research which aims were determine the effectiveness of learning mathematics through application of TGT and NHT cooperative models combination which includes: (1) students’ activities, (2) teacher’s activity in managing learning, (3) students’ responses, and (4) mathematics learning student's achievement after the application of TGT and NHT cooperative models combination. Population is XII IA students at the first semester of academic year 2016/2017. The sample was 28 students taken through random cluster sampling technique. The results showed that: (1) students’ learning activities was good category; (2) the ability of teachers to manage learning was very good category; (3) students responded positively to the learning; and (4) the learning outcomes of after being taught by a combination of TGT and NHT cooperative models achieved 96,43% and the mean score is 83,04 with a standard deviation of 9,75.


EDUTECH ◽  
2016 ◽  
Vol 15 (1) ◽  
pp. 70
Author(s):  
Warliah

Abstract. The research is motivated by the problems in the learning of mathematics in class V SDN Cilengkrang sumedang uatara districts, namely students have difficulty in arithmetic operation about the story. Research aimed at effective mathematics learning in arithmetic operation about the story. The method used is classroom action research. The results showed, in general, in cycle 1, the level of achievement of learning outcomes in the concept of the fifth grade math story problems by 37% with an average value of 70. Based on the improvement in cycle 1, then the results obtained from silus 2; students who answered questions of teachers and the level of achievement of learning outcomes by 92 %% with an average value of 82. Learning mathematics on the material about the concept of the story of multiplication in everyday life using props multiplication tables, and engineering skills of teachers, methods vary , classroom management discipline, was able to change student attitudes among students in the mastery of learning materials to increase, can do the math task, and students are responsible for the mathematical task. Keywords: story problems, tool multiplication tables. Abstrak.  Penelitian ini dilatarbelakangi oleh adanya permasalahan dalam pembelajaran matematika di kelas V SDN Cilengkrang kecamatan Sumedang Utara, yaitu siswa mengalami kesulitan dalam operasi hitung soal cerita. Penelitian bertujuan pembelajaran matematika yang efektif dalam operasi hitung soal cerita. Metode yang digunakan yaitu penelitian tindakan kelas. Hasil penelitian menunjukkan, secara umum pada siklus 1, tingkat pencapaian hasil belajar pada konsep soal cerita matematika  kelas V sebesar 37 % dengan rata-rata nilai sebesar 70. Berdasarkan hasil perbaikan pada siklus 1, maka didapatkan hasil dari silus 2 ; siswa yang menjawab pertanyaan guru dan tingkat pencapaian hasil belajar sebesar 92 %% dengan rata-rata nilai 82. Pembelajaran matematika pada materi soal konsep cerita tentang perkalian dalam kehidupan sehari-hari dengan menggunakan alat peraga tabel perkalian, dan teknik keterampilan guru, metode yang bervariasi, pengelolaan kelas yang disiplin, ternyata mampu mengubah sikap siswa diantaranya penguasaan siswa pada materi pembelajaran meningkat, dapat mengerjakan tugas matematika, dan siswa bertanggungjawab terhadap tugas matematikanya. Kata Kunci: soal cerita, alat tabel perkalian.


2017 ◽  
Vol 2 (2) ◽  
pp. 87
Author(s):  
Ismawati Ismawati

Class action research aims to improve mathematics learning result and learning activities of students on the basic concepts of integer arithmetic operation using the media props magnetic board. This study was conducted by two cycles using Kemmis and Mc Taggart cycle model. The subjects in this study is the entire fourth grade students of SDN 03 Klapanunggal Bogor consisting of 29 students. Data was collected using observation techniques, test results and documentation study. These results indicate that: (1) the average value of the results of learning mathematics by using visual media magnetic board in the first cycle to obtain the value of 65,9 with learning completeness percentage of 62%, while the second cycle obtain an average value of 76,5 with learning completeness percentage of 86%, (2) the observation of the students showed an increase in activity of students with a percentage of 62% in the first cycle, increased in the second cycle with the percentage of 82,7%, thus achieving the success criteria that are expected in the second cycle. Thus, learning outcomes and student mathematics learning activities SDN Klapanunggal 03 Bogor can be improved by applying a magnetic board media.


2018 ◽  
Vol 7 (2) ◽  
pp. 97 ◽  
Author(s):  
Yuliana Yuliana ◽  
Fery Firmansah

The objectives of the research are (1) to develop mathematics learning through Problem Based Learning (PBL) with social media assistance in improving students’ understanding toward statistics and (2) to find out the effectiveness of PBL with social media assistance. This research is a quasi-research with cluster random sampling. The cluster random sampling was employed to determine a control class and an experimental class. After treatment for each class, post-test was done. Then, the post-test data was analyzed through a T-test. The result is the mean score of post-test in experimental class was better than that in control class. It means PBL with social media assistance is more effective than the conventional model to teach statistics. The result was supported by a questionnaire that showed learning mathematics through PBL with social media assistance got a positive response from the students.


Author(s):  
Mahpudin Mahpudin ◽  
Liyana Sunanto

<em>Classical mathematics learning leads to a false view of students who think that mathematics is a separate field of science from their daily lives. Learning mathematics by using ethnomathematics can bring mathematical concepts closer to students' daily lives so that students can better understand and interpret the learning outcomes they get. In addition, ethnomathamatics can further develop multicultural competencies in students. Students can better know and appreciate cultural diversity.</em>


Author(s):  
Kamarullah Kamarullah

Mathematics is constantly evolving in accordance with the human need for technology. Therefore, mathematics is a subject that is taught at each level of education, according to the needs of all levels of education. In Indonesia, mathematics is one of the major subjects in primary up to secondary school. It aims to provide learners the ability of higher order thinking skills (HOTS). In order to measure the achievement of the objectives of mathematics learning, the government annually conducts the national examination for mathematics courses. It causes mathematics became one of subjects that is feared by most students and consequently make some teachers and students changed mathematics course “learning objectives” from reaching HOTS to just passing the national examinations. So, many unreliable quick ways emerge to solve the math problems. Some of the ways sometimes led to misconceptions in mathematics, which would obstruct the ability of the students’ HOTS. This article aims to show some of the misconceptions that are often encountered in solving mathematics problems. By recognizing the misconceptions, teachers are expected to avoid them and optimally anticipate the achievement of the “true” objectives of learning mathematics.


Epigram ◽  
2019 ◽  
Vol 16 (1) ◽  
Author(s):  
Isna Wardiah ◽  
Nurmahaludin Nurmahaludin

AbstractIndonesia is facing an era of industri 4.0 that causes disruption in the labor market. Higher education institutions are obliged to equip students with life skills through lecturing process. It needs innovation for mathematics learning to give hard skills and soft skills for the students. Learning method that will be tested is Student team achievement division (STAD). The objective of this research is to equip students to face the era of industri 4 by improving soft skill and hard skill through STAD method. This is a classroom action research with students of IT study program of Poliban that learning mathematics II as the object. The study was conducted in two cycles. The dependent variables are Student's Soft skills (communication, discipline, teamwork, and creativity) and Students’ hard skills (test scores). The independent variable is the STAD. Soft skills data were analyzed by calculating the mean of the softskill indicator and the hardskill data by measuring the mean of the test score. In the end, STAD cooperative learning improves students' soft skills, it can be seen from the observation value of each indicator which reaches ≥ 2.4 with the criteria of "Good" results in cycle I and "Very Good" in cycle II. It also improves students’ hard skills, 63.9% student reaches >= 65 in cycle I and 87.1% in cycle II.Keywords: Industrial Revolution 4.0, Hard skills, Soft skills, Mathematics learning,, STADAbstrakIndonesia tengah menghadapi revolusi industri 4.0 yang menyebabkan disrupsi pada pasar tenaga kerja, sehingga kualitas SDM sangat penting. Perguruan tinggi sebagai pencetak tenaga kerja wajib membekali mahasiswa dengan hard skills sekaligus soft skills melalui proses perkuliahan, termasuk perkuliahan matematika. Metode pembelajaran yang diujicoba adalah Student team achievment division (STAD). Tujuan penelitian adalah membekali mahasiswa menghadapi revolusi industri 4 dengan meningkatkan kemampuan soft skills dan hard skills melalui metode STAD. Objek penelitian adalah mahasiswa Teknik Informatika Poliban semester kedua TA 2017/2018 mata kuliah matematika II. Penelitian dilakukan dalam dua siklus, dengan tahapan Perencanaan, Tindakan, Observasi dan Refleksi. Variabel terikatnya yaitu: 1) Soft skills mahasiswa (keterampilan berkomunikasi, disiplin, kemampuan bekerjasama dalam tim, serta kreativitas); 2) Hard skills mahasiswa (nilai tes). Variabel bebasnya adalah model pembelajaran STAD. Data softskill dianalisa dengan menghitung rerata skor indikator softskill dalam lembar observasi. Data hard skills dianalisa dengan mengukur rerata nilai tes.  Kesimpulan didapat bahwa STAD mampu meningkatkan soft skills mahasiswa berupa teamwork, kedisiplinan, kreatifitas, dan komunikasi, hal ini terlihat dari nilai observasi tiap indikator yang mencapai ≥ 2.4 dengan kriteria hasil “Baik” pada siklus I dan “Sangat Baik” pada siklus II. Begitu juga Hard skills mahasiswa pada mata kuliah matematika terapan Iidapat ditingkatkan, dimana 63,9% mahasiswa memperoleh nilai >= 65 pada siklus pertama menjadi 91.8 % pada siklus kedua.Kata kunci: Revolusi Industri 4.0, Hard skills, Soft skills, pembelajaran Matematika, STAD


PHEDHERAL ◽  
2021 ◽  
Vol 18 (1) ◽  
pp. 37
Author(s):  
Andika Yogi Setiawan ◽  
Henri Gunawan Pratama

<p><em>This study aims to determine the results of the analysis of chess playing skills on mathematics learning outcomes for junior athletes of the Raja Kombi Trenggalek chess club. The research method used is a qualitative descriptive method with a quantitative approach. Participants in this study were 8 junior athletes of Raja Kombi Trenggalek chess club. Data collection techniques using interviews, skills results and documentation. The data analysis in this study used the mean and percentage formula.</em></p><p><em>           After analyzing the data, the results of this study concluded that in this study, the average score of playing chess skills was 85.00, then the average score of mathematics learning outcomes was 86.25. This is of course the higher the level of achievement of skills or intellectual intelligence, the higher the level of problem solving such as in learning mathematics. This is also influenced by motor and psychological aspects as a support for intelligence skills that affect the thinking of athletes. Then from the data analysis it can be said that the higher the level of achievement of chess playing skills, the higher the level of problem solving as in learning mathematics</em><em></em></p>


Sign in / Sign up

Export Citation Format

Share Document