Mathematical Reasoning Skills Research Articles

Junior high school students’ mathematical reasoning skills on integer using PMRI and collaborative learning

Students need to have good mathematical reasoning skills when learning integer material. The utilization of video media and collaborative learning through the PMRI technique can be used in learning activities to improve mathematical reasoning skills. This study aims to determine mathematical reasoning skills after implementing the learning process using video media with the PMRI approach and collaborative learning integer material for class VII students. This study is descriptive research in which participants are pupils in class VII SMP Srijaya Negara Palembang has 23 students (10 females and 13 males). This study consisted of two meetings. The first meeting focused on the learning process using video material with PMRI and collaborative learning. The second meeting was used to test the results. This study employs observational data gathering techniques, written tests, interviews, and descriptive data analysis approaches. The findings of a study are combining video media and the PMRI technique and collaborative learning on integer subjects in class VII. The skills of students in class VII to reason mathematically was discovered. On the subject of excellent integers, SMP Srijaya Negara Palembang students scored an average of 69.61. The sign of creating assumptions appears to be the most frequent in this study, while the indicator of concluding appears to be the least frequent. Students' mathematical thinking skills can be improved by using video media in conjunction with PMRI and Collaborative Learning during the learning process.

Intuition and Its Role in Students' Mathematical Reasoning Ability

This study aims to find out more about intuition and its role in shaping students' mathematical reasoning abilities. In the discussion of the philosophy of mathematics intuition plays an important role. Intuition has been discussed by philosophers of mathematics for centuries. It is said that intuition is a provisional guess. In relation to mathematical reasoning ability, it is an indispensable ability for students because mathematical reasoning skills greatly contribute to the development of a set of 21st century skills. The method in this research is a library study approach. Researchers collect various references and sources, both international and national journals, books, and other articles related to the theme to be discussed. From the results of the discussion obtained intuition and mathematical reasoning ability are two things that complement each other in solving a mathematical problem. Intuition, which is a candidate for evidence, is then formally proven by mathematical reasoning with mathematical reasoning indicators. Intuitive processes direct the analytical process while quickly serving as a bridge in performing analytical reasoning. So if a person's intuition is good then his mathematical reasoning ability is also good. The potential of mathematical intuition in developing mathematical reasoning abilities is based on the theory that one component of intuition is reasoning

Instructional Design: Teaching Algebraic Equations to Grade 8 Students with Involvement of Mathematical Reasoning in Cambridge IGCSE Curriculum

Mathematics tends to be a subject that is not favored due to a misunderstanding of the whole concept. The author believes that through involvement of mathematical reasoning skills and proper instructional strategies, students understanding can be transformed and students will be able to relearn the concept. The aim of this paper is to help teachers to recreate their lesson plans in a form of an instructional design with the involvement of mathematical reasoning, specifically in learning and relearning algebraic equations (constructivism), that can further diminish the anxiety and frustration students experience due to misconceptions in their algebraic comprehension. Through a combination of theories related to the teaching and learning of algebra in secondary school and frameworks regarding instructional strategies, the betterment of mathematical reasoning is expected to go along the relearning process, and the students will be equipped to move forward in learning mathematics. This instructional design will provide a variety of learning activities ideas, including a sample lesson plan along with other supporting documents for learning activities that teachers can use in the classroom.

Investigation of Students’ Mathematical Reasoning Skills in STEM-Focused Teaching Processes

Bu çalışmanın amacı STEM odaklı öğretim süreçlerinde öğrencilerin matematiksel muhakeme becerilerinin incelenmesidir. Çalışma bir eylem araştırmasıdır. Araştırma, bir devlet meslek lisesinin elektrik-elektronik teknolojileri ve otomasyon teknolojileri bölümü 10. sınıfında öğrenim gören 48 öğrenciyle yürütülmüştür. Araştırmada STEM eğitimi, II. dereceden denklem ve fonksiyonlar konusu kapsamında uygulanmıştır. Araştırmanın verileri, ön-test olarak “Cebirsel Muhakeme Değerlendirme” Aracı, son-test olarak “Matematiksel Muhakeme Değerlendirme Aracı” ve saha notları aracılığı ile toplanmıştır. Araştırmada uygulanan “Cebirsel Muhakeme Değerlendirme Aracı”, I. dereceden denklemler konusunu içermekte olup, ‘Matematiksel Muhakeme Değerlendirme Aracı’ ise II. dereceden denklemler ve fonksiyonlar konusunu kapsamaktadır. Veri analizi sonucunda STEM odaklı öğretimin öğrencilerin matematiksel muhakeme becerilerinin gelişimine katkı sağladığı görülmüştür. Bu kapsamda matematik derslerinde STEM eğitiminin yaygınlaştırılması önerilmektedir.

Peningkatan keterampilan penalaran matematis melalui pendekatan realistic mathematics education (RME) pada peserta didik kelas V SD

<p><em>This research aims at improving mathematical reasoning skills through the implementation of Realistic Mathematics Education approach. This is a two-cycles Classroom Action Research (CAR). Each cycle consists of three meetings. There are four stages in every meeting that are planning, acting, observing, and reflecting. The subject of this research is 30 students of the fifth grade of SD Negeri Tunggulsari 1 Surakarta, academic year 2019/2020. Observation, interview, tests, and documentation are used as the data collection technique. Triangulation is used to check the validity of this research. The data are analyzed using Miles- Huberman interactive analysis model. </em><em>The first cycle began with the first learning resulting in increased 47% with 72,00 of average, second learning was increased 3% with 74,00 of average and the third of learning was increased 10% with 74,00 of average. This research continued with second cycle with percentage of </em><em>students' classical mastery</em><em> 73% with 82,00 of average in first learning, second learning has percentage of </em><em>students' classical mastery</em><em> 77% with 82,00 of average and the last learning has percentage of </em><em>students' classical mastery</em><em> 83% with 87,00 of average. </em><em>Those results indicate that the mathematical reasoning </em><em>s</em><em>kill of the fifth grade students of SD Negeri Tunggulsari 1 Surakarta academic year 2019/2020 can be improved by the implementation of Realistic Mathematics Education approach.</em></p>

Students’ mathematical reasoning skills on number pattern using PMRI and collaborative learning approach

Students need to have good mathematical reasoning skills when learning number pattern material. The use of video media through the PMRI approach and collaborative learning can be applied in learning activities to have good mathematical reasoning skills. This study aims to determine mathematical reasoning skills after implementing the learning process using video media with the PMRI approach and collaborative learning on number pattern material for class VIII students. This research uses a descriptive type of research. The research subjects were students of class VIII.A, SMP Srijaya Negara Palembang, with 25 students (12 males and 13 females) out of a total of 39 students. Data collection techniques are observation, a written test consisting of two test questions, and interviews. The data analysis technique is descriptive. The results obtained from this study are the students' mathematical reasoning skills after the learning process using video media with the PMRI approach and collaborative learning on the number pattern material of grade VIII.A students of SMP Srijaya Negara Palembang are good, with an average value of 68.89. The indicator that appears the most is "submit a conjecture," while the indicator that appears the least is "draw a conclusion." Using video media through the PMRI approach and collaborative learning during learning can make students have good mathematical reasoning skills.

Students’ mathematical reasoning ability in solving PISA-like mathematics problem COVID-19 context

This study aims to use the Pendidikan Matematika Realistik Indonesia (PMRI) approach to measure the mathematical reasoning ability of grade VII students in answering PISA-like mathematics problems on number content in the context of COVID-19. This study employs descriptive research with 34 participants from a junior high school in Palembang, Indonesia. Tests, interviews, and observations were utilized to collect data. The method of analysis adopted is descriptive. Google Meet is used to facilitate learning. Learning the PMRI technique was accomplished in this study by assigning sharing and jumping tasks. That is, assignments for students to discuss with each other have different levels of difficulty, followed by two exam questions. In the context of COVID-19, the test questions are PISA-like maths problems. The results show that students’ average mathematical reasoning skill is 63,037, with mathematical manipulation a common indicator. Most students have exhibited indications for presenting conjectures. However, only a few students have put down indicators for drawing logical conclusions, so drawing logical conclusions is an indicator that students rarely see. Overall, grade VII students' mathematical reasoning skills in answering PISA-like mathematics questions on number material in the context of COVID-19 utilizing the PMRI approach is good since students are used to modeling contextual problems such that mathematical manipulation indicators occur.

Teacher Efforts Towards the Development of Students’ Mathematical Reasoning Skills

Teacher Efforts Towards the Development of Students’ Mathematical Reasoning Skills

The impact of the COVID-19 pandemic on primary school students’ mathematical reasoning skills: a mediation analysis

The present research aimed to reveal how the COVID-19 pandemic influenced the mathematical reasoning of primary school students through mediation analysis. It was designed as ex post facto research. The research sample consisted of two cohorts. Cohort 1 included 415 primary school children who received face-to-face instruction by attending school for six months until COVID-19 emerged. Cohort 2 included 964 children who were taught curricular skills through distance education due to COVID-19 and school closures. In total, 1,379 primary school children were recruited into the research sample. Data were collected through a mathematical reasoning test by sending items from the instrument via Google Docs. The data were analysed with mediation analysis. Results demonstrated that the school closures due to the COVID-19 pandemic negatively influenced mathematical reasoning skills. Findings are discussed in the light of human interaction and Cattell’s intelligence theory.

Analysis of the Relationship between Mathematical Reasoning and Problem Solving of Elementary Students Mathematics Material

Mastery of mathematical reasoning and problem solving skills is very necessary for students, in order to understand and solve mathematical material better. The formulation of the problem in this research are (1) What are the advantages and disadvantages of mathematical reasoning ability?, (2) What are the advantages and disadvantages of problem solving ability?, (3) What is the relationship between mathematical reasoning ability and problem solving in mathematical material?. This type of research is a literature study. Sources of data used are secondary data sources. Data collection techniques were carried out by analyzing several articles in journals, related to the research focus taken by the researcher. The data analysis technique used is to analyze secondary data sources. In the learning process these two abilities must exist and cannot be separated, so it can be stated that they have a very close relationship. Mastery of mathematical reasoning and problem solving skills is very necessary for students, in order to understand and complete mathematical material better. The formulation of the problem in this research are (1) What are the advantages and disadvantages of mathematical reasoning ability?, (2) What are the advantages and disadvantages of problem solving ability?, (3) What is the relationship between mathematical reasoning ability and problem solving in mathematical material?. This type of research is a literature study. Sources of data used are secondary data sources. Data collection techniques were carried out by analyzing several articles in journals, related to the research focus taken by the researcher. The data analysis technique used is to analyze secondary data sources. In the learning process these two abilities must exist and cannot be separated, so it can be stated that they have a very close relationship.

Students’ Skills Performing Mathematical Reasoning and Communication through Group Investigation Learning Model

The general purpose of learning mathematics formulated by the National Council of Teachers of Mathematics (NCTM) states that students must learn mathematical communication, mathematical reasoning, mathematical problem solving, mathematical connections, and mathematical representation. This study aims to describe and analyze students’ mathematical reasoning and communication skills on linear programming material through the GI type cooperative learning model. This research is quasi-experimental design of the non-equivalent posttest only control group design. The research population was all students of class XI MAN 3 Banjar. The research sample is class XI IIS using cooperative learning model type GI and class XI MIA 1 using conventional learning. Data collection techniques was using observation, documentation, and tests. The results of the study shows that: (1) the mean score of the mathematical reasoning skills and the mathematical communication skills within the students of Grade XI State Madrasah Aliyah 3 Banjar on the learning materials of Linear Program through the GI-Type Cooperative Learning Model is 81.12 and 83.20, respectively belong to the “Very Good” qualification; (2) the mean score of the mathematical reasoning skills and the mathematical communication skills within the students of Grade XI State Madrasah Aliyah 3 Banjar on the learning materials of Linear Program through the Conventional Learning Model is 70.13 and 77.98 respectively belong to the “Very Good” qualification; (3) there have been differences on the mathematical reasoning skills on the learning materials of Linear Program between the students of Grade XI State Madrasah Aliyah 3 Banjar who have been exposed to the GI-Type Cooperative Learning Model and those who have been exposed to the Conventional Learning Model; and (4) there have been differences on the mathematical communication skills on the learning materials of Linear Program between the students of Grade XI State Madrasah Aliyah 3 Banjar who have been exposed to the GI-Type Cooperative Learning Model and those who have been exposed to the Conventional Learning Model.

TPACK Based Open Ended Approach to Improve Mathematical Reasoning Skills

<p><em>Elementary school mathematics learning in Indonesia can be said to be still lacking. During this time, students tend to dislike or even fear mathematics subjects, especially in the context of mathematical reasoning. In the field of education, teachers must be able to develop students' mathematical reasoning by using appropriate strategies. So we need appropriate approaches and media to develop mathematical reasoning abilities. The purpose of this study to explain the concept of an open-ended approach based on TPACK, the concept of mathematical reasoning and the relationship between an open-ended approach based on TPACK and mathematical reasoning. The result of this study are: (1) TPACK-based Open ended Approach is learning that presents a problem that has more than one correct method or solution, which is presented with the help of ICT-based media. (2) Mathematical reasoning is the ability to conclude and prove a statement, and solve problems in mathematics. (3) TPACK-based open ended approach can improve mathematical reasoning</em><em>.</em></p>

Effect of coding activities on preschool children's mathematical reasoning skills.

The present study was conducted to investigate the effect of coding activities on children’s mathematical reasoning skills. In the study, the pre-test – post-test control group quasi-experimental design was used. The participants of the study consisted of 29 children (17 in experiment group and 12 in control group) aged between 57 – 68 months attending a public kindergarten in Adana, Turkey. Coding Education Program prepared by the researchers was administered to the children in the experiment group while the children in the control group received the regular program. Evaluation Instrument for the Early Mathematical Reasoning Skills was administered to children both in the experimental and control group as pre-test and post-test. Data was collected by individual interviews conducted with the children. Results of the study showed that there is no significant difference between experimental and control group in the pre-test, whereas a significant difference in favor of the experimental group was observed in the post-test. Therefore, it was determined that the coding activities have a significant effect on mathematical reasoning skills of children.

KEMAMPUAN PENALARAN MATEMATIKA SISWA MA DENGAN METODE PROBLEM-BASED LEARNING

The purpose of this study is to analyze the description of the mathematical reasoning ability of MA students in problem-based learning (PBM). This research uses a case study-based qualitative approach and was conducted in private madrasah aliyah in Central Lombok district. The number of participants in the study were 32 students of class X IPA even semester 2020/2021. Data was collected by means of tests (mathematical reasoning skills) and non-tests (interviews, observations, and documentation studies) to determine the mathematical reasoning abilities of MA students in problem-based learning. The result of this research is the mathematical reasoning ability of MA students in problem-based learning is included in the good category.

Realistic mathematics education: Mathematical reasoning and communication skills in rural contexts

Mathematics learning has always been a problem in the world of education in Indonesia especially in the Province of Maluku, which is a thousand island area. The geographical position of Maluku, which is an area of the archipelago, is quite extensive, affecting the quality of students in mathematics. One approach that is recommended to overcome mathematical problems of rural island-based students is realistic mathematics education (RME). The purpose of this study was to analyze the effect of RME on mathematical reasoning and communication skills in a rural context. The research design used was quasi experiment. The sample size was 130 students from several junior high schools in Central Maluku Regency. The instrument developed was in the form of problem descriptions to measure students' mathematical reasoning and communication skills. The findings prove that RME has a significant influence on students' mathematical reasoning and communication skills. Thus, RME can be recommended in improving students' mathematical reasoning and communication skills in the island-based rural context.

Male and female students' mathematical reasoning skills in solving trigonometry problems

[English]: Several studies have examined mathematical reasoning skills (MRS) of male and female students in various mathematics topics. However, there were still not many studies, which focus on MRS in trigonometry topics in terms of gender perspectives. Therefore, this quantitative study aims to describe and compare the MRS of male and female students in solving trigonometry problems. This study involved secondary school students who were given an MRS test. The test has been validated theoretically and empirically. The results of the test were classified using the rubric of MRS achievement and analyzed using the Mann-Whitney test or t-test. The results revealed that the overall MRS of male and female students was low. The students lacked skills in finding a relationship pattern, proposing a conjecture, and generalizing the statement, but they had moderate skills in verifying the truth of an argument. Furthermore, the male and female students were not significantly different in the aspects of MRS. The findings provide important starting points to enhance students' MRS in the teaching and learning of trigonometry. [Bahasa]: Beberapa studi sudah dilakukan untuk menguji kemampuan penalaran matematis siswa laki-laki dan perempuan di berbagai topik matematika. Namun, studi-studi yang fokus pada kemampuan penalaran matematis di topik trigonometri ditinjau dari perspektif gender masih belum banyak. Penelitian kuantitatif ini bertujuan untuk mendeskripsikan dan membandingkan kemampuan penalaran matematis siswa laki-laki dan perempuan dalam menyelesaikan masalah-masalah trigonometri. Studi ini melibatkan siswa sekolah menengah yang diberi tes kemampuan penalaran matematis. Tes tersebut sudah divalidasi secara teoritis dan empiris. Hasil tes tersebut dikategorikan menggunakan rubrik capaian penalaran matematis dan dianalisis menggunakan uji Mann-Whitney atau uji t. Hasil menunjukkan bahwa secara keseluruhan kemampuan penalaran matematis siswa laki-laki dan perempuan belum tinggi. Siswa tersebut kurang mampu dalam menemukan pola hubungan, mengajukan dugaan, dan mengeneralisasi pernyataan, tetapi mereka memiliki kemampuan yang sedang dalam memverifikasi kebenaran suatu argumen. Selanjutnya, siswa laki-laki dan siswa perempuan tidak berbeda secara signifikan dalam aspek kemampuan penalaran matematis. Temuan ini memberikan titik awal yang penting untuk meningkatkan kemampuan penalaran matematis siswa dalam pembelajaran trigonometri.

KEMAMPUAN PENALARAN MATEMATIS SISWA DALAM MENYELESAIKAN SOAL PADA MATERI RELASI DAN FUNGSI KELAS VIII SMP

The aims of this study is to describe students' mathematical reasoning skills in solving problems on relationship materials and functions. Research method is used descriptive qualitative. The research subjects consisted of six students of grade VIII SMP Negeri 51 Palembang with two students with high ability, two medium students and two students with low ability. Data collection is carried out by providing 5 points about tests, interviews, and documentation. This study, using 5 indicators of reasoning, namely analysis, synthesis, generalization, problem solving is not routine, and justification / proof. The results showed that students who have high ability are mostly able to fulfill all aspects of mathematical reasoning ability. As for students who have moderate ability is able to meet two to three aspects of the students' mathematical reasoning ability only. Then for students who have low ability is only able to meet one to two aspects of the student's mathematical reasoning ability.

The relationship between the mathematical reasoning skills and video game addiction of Turkish middle schools students: A serial mediator model

The reasoning is required for important mathematical skills such as understanding mathematics, problem-solving, and proving. Therefore, it is crucial to examine the reasoning skills of individuals. This study was conducted to determine the serial mediator effect of the negative automatic thoughts and self-regulation within the relationship between reasoning skills and video game addiction of middle-school students. The correlational research model among the quantitative research designs was used in this study which was conducted with the participation of 468 middle-school students. Reasoning skill scale, video game addiction scale, negative automatic thoughts scale, and perceived self-regulation scale were used in the data collection process. The obtained data were analyzed with correlation analysis and mediator variable analysis. In the end, the results indicated that negative automatic thoughts and self-regulation skills had a mediator effect between middle-school students’ video game addiction and reasoning skills.

Farklı Öğrenme Yollarının Kullanıldığı Zengin Öğrenme Ortamlarının Matematiksel Muhakeme Becerisine ve Problem Çözmeye Yönelik Tutuma Etkisi

Bu araştırmanın amacı, farklı öğrenme yolları kullanılarak zenginleştirilen öğrenme ortamında öğrenme tercihlerine göre oluşturulan işbirlikli heterojen öğrenci gruplarıyla gerçekleştirilecek öğretimin matematiksel muhakeme becerisine ve problem çözmeye yönelik tutuma etkisini incelemektir. Çalışma Güneydoğu Anadolu bölgesinde bulunan bir il merkezinden rastgele seçilen bir devlet ortaokulunda okuyan yedinci sınıflar arasında matematik başarısı açısından orta düzeyde ve öğrenme stilleri açısından heterojen dağılım gösteren 23 öğrencinin katılımıyla gerçekleşmiştir. Zenginleştirilen öğrenme ortamlarında kesirler ve tamsayılar konularının öğretimi; teknoloji destekli uygulamalar, eğitsel oyunlar, somut materyaller ve karikatürler kullanılarak, günlük yaşamla ilişkilendirilerek ve işbirlikli heterojen gruplarla yapıcı tartışmalar yapılarak 6 hafta boyunca gerçekleştirilmiştir. Araştırma, nicel araştırma yaklaşımlarından öntest - sontest kontrol grupsuz deneysel desen kullanılarak gerçekleştirilmiştir. Araştırmanın verileri, Matematiksel Muhakeme Testi (MMT)’ne ve Matematik Problemi Çözme Tutum Ölçeği (MPÇTÖ)’ne öntest ve sonteste verdikleri cevaplardan elde edilmiştir. MMT’ye verilen cevaplar Wilcoxon İşaretli Sıralar Testi ve Kruskal Wallis testi ile analiz edilmiştir. Ayrıca MMT’ye ilişkin bazı öğrenci cevapları öntest ve sonteste göre kıyaslanarak yorumlanmıştır. MPÇTÖ’ye verilen cevaplar ise ilişkili örneklemler için t-testi kullanılmıştır. Bu öğrenme ortamında gerçekleştirilen öğretimin öğrencilerin matematiksel muhakeme becerilerini anlamlı düzeyde geliştirdiği ve matematik problemi çözme tutumlarını anlamlı düzeyde iyileştirdiğini göstermiştir. Bu öğrenme ortamının her öğrenme stilline yönelik matematiksel muhakeme becerisini anlamlı düzeyde geliştirdiği ancak öğrenme stilleri açısından bir muhakeme becerisinin gelişiminde bir farklılaşmanın olmadığı tespit edilmiştir.

Mathematical Reasoning Abilities of High School Students in Solving Contextual Problems

The purpose of this study was to describe students’ mathematical reasoning abilities, such as: drawing conclusions from a statement, doing mathematical manipulation, providing valid arguments and presenting mathematical statements, both verbally and in writing, in the form of pictures or graphs. This research used the descriptive qualitative method. The instruments used in this study were the main instrument (researchers) and the supporting instruments (tests and interviews). The test was given to 25 students of class XII SMA Muhammadiyah Surakarta Special Program (Muhammadiyah Surakarta Senior High School Special Program). The subjects of this study were eight students of class XII who were selected by purposive sampling technique. The results showed that students had good mathematical reasoning skills while doing mathematical manipulations and presenting mathematical statements verbally, in writing, or in pictures. Students did not show good mathematical reasoning skills when students have to draw conclusions from a statement and provide valid arguments. This is because students still do not master how to identify and determine the right strategy to solve problems, and the answers given by students were still not correct. In the future, teachers are expected to provide problems (questions) in various mathematical reasoning, so students are accustomed to working on problems with various levels of mathematical reasoning, and students’ mathematical skills can be better trained.