Mathematical Creativity Research Articles

Using Digital Learning Media to Increase Student Creativity in Solving Mathematics Problems

This research explores the use of digital learning media as a means of increasing students' creativity in solving mathematics problems. Conventional teaching methods are often inadequate to develop students' creative abilities in solving mathematical problems. Through the application of digital learning media, such as educational games and interactive simulations, this research aims to create a learning environment that motivates students to think creatively and apply mathematical concepts in real contexts. This research methodology involves students' active participation in digital interactive activities, followed by an evaluation of their level of creativity in responding to mathematical challenges. It is hoped that the results of this research will provide an in-depth view of the potential of digital learning media as an effective tool for increasing student creativity in learning mathematics

Application of Problem-based Learning Models Assisted By Liveworksheets Towards Students' Mathematical Creative Thinking Ability

The ability to think creatively mathematically of students is relatively low.The purpose of this research is to determine whether employing the Liveworksheets-assisted Problem Based Learning technique influences students' mathematics ability to think creatively. This study used quantitative research methods and a non-equivalent post-test only control group design. The sampling technique employs non-probability sampling. The sample for this study consisted of two classes with 71 students.The normality and homogeneity tests are used in quantitative research as part of the preconditioning test. In this study, the hypothesis was tested using an independent sample test. This study's findings illustrate students' mathematics creative thinking ability in experimental classrooms influenced by the usage of the Problem Based Learning model using liveworksheets. This demonstrates that the experimental class's students have a greater potential for mathematical creative thinking ability than the control class.The application of problem based learning models assisted by liveworksheets influences the student’s mathematical creative thinking ability.

Mathematical Creative Thinking Ability of Vocational School Students in Solving Composition Function Problems

Kemampuan berpikir kreatif matematis sangat penting bagi siswa sekolah kejuruan, baik dalam memecahkan masalah matematika maupun dalam karir profesionalnya di masa depan. Namun fakta menunjukkan bahwa keterampilan ini tidak cukup ditekankan. Penelitian ini bertujuan mengkaji secara komprehensif kemampuan berpikir kreatif matematis pada berbagai level kemampuan matematika: rendah, sedang, dan tinggi. Penelitian menggunakan pendekatan deskriptif kualitatif, melibatkan 73 siswa kelas sebelas, sekolah kejuruan di Kota Langsa. Instrumen penelitian berupa tes, terdiri dari lima soal yang dirancang untuk menilai kemampuan berpikir kreatif terkait fungsi komposisi, serta wawancara untuk tambahan wawasan kualitatif. Analisis data dilakukan melalui reduksi data, penyajian data, dan verifikasi. Hasil analisis menunjukkan bahwa kemampuan berpikir kreatif siswa dalam konteks fungsi komposisi sebagian besar berada pada kategori rendah, sedangkan kemampuan sedang dan tinggi kurang dominan. Terdapat kebutuhan mendesak untuk menumbuhkan praktik berpikir kreatif untuk memastikan bahwa lulusan sekolah kejuruan dibekali dengan baik untuk menjadi pekerja produktif di berbagai sektor. The ability to engage in mathematical creative thinking is essential for vocational school students, both in solving mathematical problems and in their future professional careers. However, current observations indicate that this skill is not sufficiently emphasized. This study aims to comprehensively examine mathematical creative thinking abilities across different levels of mathematical proficiency: low, medium, and high. Employing a qualitative descriptive approach, the study involved 73 eleventh-grade students from a vocational school in Langsa City. The research instruments included a test consisting of five questions designed to assess creative thinking abilities related to composition functions, as well as interviews for additional qualitative insights. Data analysis was conducted through data reduction, data presentation, and verification. The analysis results indicate that students' creative thinking abilities in the context of composition functions are predominantly in the low category, with medium and high abilities being less prevalent. There is a pressing need to foster creative thinking practices to ensure that vocational school graduates are well-equipped to become productive workers across various sectors.

The Guided Note-Taking Learning Model Effectively Improves Students' Mathematics Learning Creativity

Student creativity in learning mathematics is one of the cognitive abilities that students need to master. The aim of this research is to determine and analyze students' mathematics learning creativity. This type of research is quasi-experimental. The population in this study were all class VII students at SMP Negeri 4 Baubau which consisted of 10 parallel classes with a total of 280 students. The sample in this research was taken using the Random Sampling technique. 28 students from class VII.10 were selected as the experimental class and 28 students from class VII.9 as the control class. The instruments used in this research were observation sheets and students' mathematics learning creativity tests. Data analysis uses descriptive analysis and inferential analysis. The hypothesis testing technique uses Independent Sample t-test analysis. The research results showed that the average pre-test for the experimental class was 43.57, while the post-test was 83.93. The control class pretest average was 46.61, while the post-test was 58.04. The results of the independent sample t-test were obtained t-count= 3,187 > t-table= 1.674 with a significance value of 0.045 < 0.05. It can be concluded that the GNT (Guided Note Taking) learning model is effective in increasing students' mathematics learning creativity. To increase students' creativity in mathematics learning, teachers should use learning media to build students' creativity concepts in visualizing the material being taught.

Ortaokul Öğrencilerinin Op Art ile Matematik Deneyimleri ve Yaratıcılık Becerileri

The present research aimed to explore the perspectives and creations of middle school students regarding Op Art design activities. Four Op Art activities were implemented in this study. The students' opinions were collected through an observation form, an open-ended questionnaire, and individual interviews. Content analysis was employed to analyze the students' responses. The students' Op Art designs were evaluated using a creativity diamond model comprising frequency, flexibility, originality, and elaboration competencies. Three themes emerged from the students' Op Art design process: mathematical expression, visual expression, and creativity skills. Similarly, six themes were identified from the students' viewpoints on Op Art designs: general perspectives on Op Art designs, aspects of Op Art design activities that were liked or disliked, the success of the created designs, exciting aspects of the Op Art activity, perspectives on the use of Op Art activities in mathematics lessons, and instructive aspects of Op Art activities. This study suggests that Op Art activities have the potential to enhance students' creativity, particularly flexibility competencies, and foster an appreciation for the process rather than solely focusing on the end result.

Design principles of inquiry-oriented tasks in integral calculus

Designing and implementing purposefully developed tasks have been linked to students’ understanding of mathematical topics. We report on design principles and intentions that guided the development of inquiry-oriented tasks. Through a qualitative analysis of the tasks, we identified seven themes that encapsulated these design intentions: Provide Review; Introduce New Content; Provide Guidance; Prompt Graphing and Visualisation; Prompt Generalisation; Foster Mathematical Creativity; and Prompt Reflection. In the discussion, we align these themes with existing literature and recognise an intersection between designing inquiry-oriented tasks, creativity-fostering tasks and reflective assignments. We additionally provide some recommendations for practitioners and report on students’ feedback on these tasks.

Development of e-modules based on brain balance to improve students' mathematical creative thinking skills on geometric sequences and series material

Penelitian ini bertujuan untuk mendeskripsikan proses pengembangan e-modul berbasis keseimbangan otak untuk meningkatkan kemampuan berpikir kreatif matematis siswa pada materi barisan dan deret geometri. Pengembangan e-modul ini menggunakan metode Whole Brain Teaching (WBT) yang merupakan salah satu metode keseimbangan otak. Aplikasi yang digunakan dalam pengembangan e-modul yaitu Microsoft Office Word dan Flip PDF Profesional. Penelitian ini merupakan penelitian pengembangan (Research and Development). Model pengembangan yang digunakan dalam penelitian ini adalah model Plomp yang terdiri dari tiga fase yaitu fase pendahuluan (Preliminarity Phase), fase Pengembangan atau prototipe (Development or Prototype Phase), dan fase penilaian (Assesment Phase). Instrumen yang digunakan dalan penelitian ini adalah lembar validasi, lembar kepraktisan dan instrumen Uji N Gain untuk melihat keefektifan e-modul. Berdasarkan hasil uji validasi yang dilakukan oleh enam orang validator ahli media dan materi memperoleh nilai rata-rata 94,77% dan dikategorikan sangat valid. Sedangkan berdasarkan hasil uji kepraktisan e-modul yang dilakukan kepada guru dan siswa memperoleh nilai rata-rata 91,3% dan dikategorikan sangat baik. Berdasarkan uji N Gain yang dilakukan di kelas X.3 SMAN 1 Darma yang berjumlah 23 orang siswa memperoleh hasil rata-rata pretest sebesar 43,26 dan hasil rata-rata posttest sebesar 78,47 sehingga diperoleh nilai N Gain sebesar 0,62 dan keefektifan e-modul dikategorikan sedang.

Pengembangan Media Model Book Flanel Materi Matematika Mengurutkan Bilangan pada Siswa Kelas II SDN Giripurwo Kecamatan Wonogiri Kabupaten Wonogiri

Development of Flannel Book Model Media Mathematical Materials Sequencing Numbers for Grade II Students at SD Negeri Giripurwo Wonogiri District Wonogiri Regency, Thesis, Graduate Program in Elementary Education at the Open University. This study aims to (1) describe the media used at SDN Giripurwo Wonogiri. (2) describe the development of the flannel book model media for mathematical material sequencing numbers and students' creativity at SDN Giripurwo Wonogiri. (3) describe the feasibility of the flannel book model for sequencing mathematics material. numbers and students' creativity at SDN Giripurwo Wonogiri. (4) To find out the effectiveness of the Flannel book model media on mathematical material sequencing numbers and students' creativity at SDN Giripurwo Wonogiri. This type of research is development research which adopts the ADDIE development model. Which includes 5 stages. The analysis stage which includes data collection, the design stage which includes planning and manufacture of the initial flannel book product, the development stage namely prototype preparation, expert validation, the implementation stage namely field trials and the final product form. And product effectiveness testing. The research was stopped at the implementation stage. The research was conducted at Giripurwo Elementary School, Wonogiri District, the research subjects were grade 2 students. Data collection techniques were tests, non-tests and interviews. . The data analysis technique applied in this research and development is the T test and Normality Test.

The Influence of the Cooperative Learning Model Type Numbered Heads Together (NHT) on the Mathematical Creative Thinking Ability of Students in Class VIII of Trisakti Private Junior High School, Pematang Siantar

The purpose of this study was to determine the effect of using the Numbered Heads Together (NHT) type cooperative learning model on students' mathematical creative thinking skills in class VIII of SMP Swasta Trisakti Pematang Siantar. This research design uses One-Shoot Case Study. The population in this study were all VIII grade students of Trisakti Pematang Siantar Private Junior High School T.A 2023/2024, and the sample in this study were all VIII grade students of Trisakti Pematang Siantar Private Junior High School totaling 30 students. The instruments used in this study are validity, reliability, level of difficulty of test items and distinguishing power of test items. The data obtained were then analyzed using data analysis techniques obtained the average value of the results of the Numbered Heads Together (NHT) learning model 85.63 and the average mathematical creative thinking ability of students 16.384. The results of hypothesis testing after obtaining t-count = 26.134 and t-table = 2.048. This means that the tcount is greater than the ttable which shows the hypothesis H0 is rejected and Ha is accepted. Based on this description, it is concluded that the use of the Numbered Heads Together (NHT) learning model has an influence on students' mathematical creative thinking skills in learning the Two-Variable Linear Equation System (SPLDV) in class VIII SMP Swasta Trisakti Pematang Siantar.

Implementation of the jucama learning model assisted by tangram media to improve students’ mathematical creative thinking skills in plane figure material

The mathematical creative thinking skill is crucial in learning mathematics. However, the problem encountered in learning mathematics in class VII-B at SMP (Junior High School) Wahid Hasyim Malang was that the teacher did not involve students in exploring and providing opportunities to improve mathematical creative thinking skills. In overcoming this problem, the researcher applied the Jucama learning model assisted by tangram media on plane figure material. This research design was Classroom Action Research (CAR) which consisted of (1) Planning, (2) Implementation, (3) Observation, and (4) Reflection. The research subjects were 30 students in class VII-B SMP Wahid Hasyim. Data was collected through teacher and student activity observations, end-of-cycle test results, and questionnaires. This research was conducted in two cycles, with two meetings. The results indicated an increase in the percentage of observations of teacher and student activities, end-of-cycle test results, and questionnaire results. The results of observations of teacher activities in cycle I reached an average percentage of 75%, while in cycle II, it increased to 86.875%. The results of observing student activities in the first cycle reached a percentage of 73.125%, while in the second cycle, it increased to 85.75%. The end-of-cycle I test results showed that the completeness of student learning outcomes attained 63.33% with an average class score of 72. In comparison, the completeness of student learning outcomes in cycle II increased to 86.67%, with an average class score of 83.47. The results of the questionnaire in cycle I indicated that the percentage of success reached 46.67%, while in cycle II, the questionnaire results increased, with the percentage of success attaining 83.33%. Based on the results of data analysis, it can be implied that applying the JUCAMA learning model assisted by tangram media could improve the mathematical creative thinking skill of class VII-B students of SMP Wahid Hasyim Malang in the plane figure material.

Improving Students’ Mathematical Creative Thinking Ability and Motivation through Problem-Based Learning Model

This study aims to determine the mathematical creative thinking ability of students after being taught with the Problem Based Learning (PBL) learning model. This research is a quasi-experimental research that compares two learning models, namely, the problem-based learning model and the conventional learning model, and is designed as follows: (i) a research sample of 60 students was selected as the research sample, and (ii) the data from the research test of students' mathematical creativity ability was carried out 2 (two), namely pretests (before learning) and postes (after learning). From the results of the research, it can be concluded that the average pretest score of mathematical problem solving ability also increased in the control class, especially for fluency indicators, but from the average of the two classes, the average in the experimental class was higher than the control, which was 53.33%. The average N-gain of creative thinking abilities of students taught with PBM was 0.48 and in students teaching with conventional learning. It was known that the increase in student motivation that obtains a PBM is higher than those whose learning uses ordinary learning. Therefore, it is important for schools to socialize PBM to be applied in the learning process so that it can improve students' mathematics skills, especially the ability to think creatively mathematically and student learning motivation.

Analysis of Students' Creative Thinking Ability in Solving SPLDV Problems Assisted by GeoGebra Software Based on Initial Abilities

This study aims to describe the level of creative thinking ability of students in solving problems on SPLDV material using GeoGebra software based on initial abilities. This research is a descriptive research involving three junior high school students from Sidoarjo. Research instruments in the form of initial ability tests and mathematical creative thinking ability tests using GeoGebra software. Data analysis techniques are carried out through the stages of data reduction, data presentation, and conclusions. The results show, subjects with high creative thinking skills are able to meet 2 indicators of creative thinking, namely fluency and flexibility so that they are categorized into level 3 indicators of creative thinking (creative). Subjects with the ability to think creatively in the medium category are able to meet 1 indicator of creative thinking, namely novelty so that it is categorized into level 2 indicators of creative thinking (quite creative). Subjects with low creative thinking ability are able to meet 1 indicator of creative thinking, namely fluency so that it is categorized into level 1 indicator of creative thinking (less creative). The possible causes of the results in this study were discussed in order to get a number of recommendations for further research.

Bridging Informal Reasoning and Formal Proving: The Role of Argumentation in Proof-Events

AbstractThis paper explores the relationship between informal reasoning, creativity in mathematics, and problem solving. It underscores the importance of environments that promote interaction, hypothesis generation, examination, refutation, derivation of new solutions, drawing conclusions, and reasoning with others, as key factors in enhancing mathematical creativity. Drawing on argumentation logic, the paper proposes a novel approach to uncover specific characteristics in the development of formalized proving using “proof-events.” Argumentation logic can offer reasoning mechanisms that facilitate these environments. This paper proposes how argumentation can be implemented to discover certain characteristics in the development of formalized proving with “proof-events”. The concept of a proof-event was introduced by Goguen who described mathematical proof as a multi-agent social event involving not only “classical” formal proofs, but also other informal proving actions such as deficient or alleged proofs. Argumentation is an integral component of the discovery process for a mathematical proof since a proof necessitates a dialogue between provers and interpreters to clarify and resolve gaps or assumptions. By formalizing proof-events through argumentation, this paper demonstrates how informal reasoning and conflicts arising during the proving process can be effectively simulated. The paper presents an extended version of the proof-events calculus, rooted in argumentation theories, and highlights the intricate relationships among proof, human reasoning, cognitive processes, creativity, and mathematical arguments.

PENGEMBANGAN LKPD BERBASIS HOTS DAN PROBLEM BASED LEARNING UNTUK MENINGKATKAN BERPIKIR KREATIF MATEMATIS

Abstract This study aims to produce HOTS-based LKPD products and Problem Based Learning on linear program material oriented towards increasing the mathematical creative thinking skills and to determine the feasibility of HOTS-based LKPDs through the application of PBL models to linear program material to improve students' mathematical creative thinking abilities educate. Data collection was carried out by means of document analysis, conducting surveys, and quetionnaires. This research uses the ADDIE model which consists of five development steps, namely analyze, design, development, implementation and evaluation. The subjects of this study The subjects in this study were students of class XI IPA MAN 3 Jambi City and the objects in this study were HOTS-based worksheets. Based on the research results the developed LKPD produces positive responses and can be used in the learning process and can improve students' mathematical creative thinking skills, and the effectiveness is obtained based on the product developed which can improve students' mathematical creative thinking abilities from the results of the pre-test and post-test through the N-gain test obtained a score of 0.62, namely in the medium category and the HOTS-Based LKPD and Problem Based Learning that was developed was effective.

The Effect of Concept Achievement on Critical Thinking and Creative Mathematical In Elementary School Students

This research aims to describe the effect of applying the concept achievement learning model on the ability to think critically and creatively in elementary school student. Students' capacity for original thought allows them to come up with solutions to mathematical issues in a variety of ways. This research was conducted in 6th grade at UPI Cibiru Laboratory Elementary School in the 2021–2022 academic year on cubes and blocks lessons. This research used a quasi-experimental approach with a single experimental group. There were 22 students who made up the experimental group. The selection of purposive sampling led to the creation of the class group. The independent variable in this study is the achievement of the concept, while the dependent variable is the ability to think critically and creatively. The research design used is the Nonequevalent Posttest-Only Control Group Design. The instruments used in this research are test and non-test. The test is in the form of questions to determine the effect of students' critical and creative mathematical thinking skills between those using the Concept Achievement learning model and the Inquiry Learning Model. The non-test is in the form of a Likert scale to measure students' self-confidence. The data analysis technique used prerequisite tests, namely the normality test, homogeneity test, and the average difference test. Furthermore, the correlation test uses the Pearson or Spearman test and the coefficient of determination.

Mapping research trends in mathematical creativity in mathematical instructional practices: A bibliometric analysis

Mapping research trends in mathematical creativity in mathematical instructional practices: A bibliometric analysis

ANALISIS KEMAMPUAN BERPIKIR KREATIF MATEMATIS DALAM MENYELESAIKAN SOAL OPEN-ENDED PADA SISWA BERKEPRIBADIAN EKSTROVERT

This study aims to analyze the mathematical creative thinking abilities of class VII extrovert students in solving open-ended questions on flat shape material. This type of research is qualitative research with a phenomenological approach. This study involved 3 seventh graders studnets who were taken using purposive sampling technique as research subjek. The instrument used for taking prospective subjects is the extrovert personality questionnaire. The data collection techniques used are tests of creative thinking abilities, interviews and field notes. The data analysis techniques in this study used technical triangulation, namely data redduction, presentation data and conclusion. The results of the study show that extroverted students bring out aspects of novelty and flexibility. Based on research results, the creative thinking abilities of extroverted students is classified at level 2 (Quite Creative). Extrovert students need a discussion space to get feedback so they can issue or present their ideas fluently.

Students' Analogical Reasoning in Solving Trigonometric Target Problems

Analogical reasoning plays a crucial part in problem-solving since it requires students to connect prior knowledge with the issues at hand in learning mathematics. However, students struggle when developing solutions to the issues utilizing analogies even if there is a connection between mathematical creativity and analogical reasoning. The aims of this study were to assess students' use of Ruppert's phases to solve problems and identify students' analogy patterns to solve target problems. This study is qualitative in nature. Of 19 research participants, six were then chosen using the purposive sampling technique based on their levels of mathematical creative ability. Test, interview, and documentation were the data gathering techniques used in this study. The study's findings suggested that good analogical reasoning skills did not serve as a prerequisite for students with strong mathematical creative thinking skills. Only one subject out of three who possessed necessary mathematical creative thinking abilities could go through the four steps of analogical reasoning-structuring, mapping, applying, and verifying. All other subjects were unable to complete the four steps of analogy, and even their creative thinking skills were weak. This was because the students did not comprehend the idea and could not connect prior knowledge with the issues at hand. In order to remind students of their prior knowledge and experiences, it would therefore be necessary at this analogy stage to establish an initial stage before structuring. The format and degree of difficulty of the questions were assumed to be other elements that might influence students' responses. The results of this study are expected to be a reference for further research, namely increasing analogical reasoning optimally as an effort to increase students' prior knowledge and students' mathematical creative thinking abilities in solving mathematical problems.

ANALISIS KEMAMPUAN BERPIKIR KREATIF MATEMATIS MATERI SEGIEMPAT DITINJAU DARI KEMAMPUAN MATEMATIK SISWA

This study aims to determine the ability to think mathematically creatively in terms of the mathematical ability of grade VII students of SMPN SATAP Ligalejo in solving quadrilateral problems. This type of research uses the Qualitative Descriptive method. The selection of research subjects is based on the category of students' mathematical abilities, that is students with high, medium and low skills. So 6 students were obtained from 22 students. The instruments used are tests, interviews and documentation. The data collection techniques used are test, interview and documentation techniques. Meanwhile, the data analysis technique used is qualitative data analysis starting with data reduction, data display and drawing conclusions. This study's results showed that students with high mathematical abilities were included in the inter-achievement of mathematical creative thinking abilities quite well, with an average score of 52.46%. Meanwhile, students who have moderate mathematical ability are included in the inter-achievement of mathematical creative thinking skills are not good, with an average score of 31.15%. Students who have low mathematical ability are included in the inter-achievement of mathematical creative thinking ability is very poor, with an average score percentage of 16.39%.

Pengaruh Penerapan Model Pembelajaran Mind Mapping terhadap Kemampuan Berpikir Kreatif Matematis Siswa Kelas IV Sekolah Dasar

The goal of this study is to describe the effect of application the mind mapping learning model on the mathematical creative thinking skills of fourth grade students at elementary school using a Nonequivalent control group in experimental research. 34 students from class IV A (the experimental class) and 35 students from class IV C (the control class) from SD Muhammadiyah 2 Pontianak made up the research sample. Data collection methods using instruments like essay tests and measurement methods. According to the findings of a statistical analysis. The experimental class's pre-test and post-test results were 36 and 67, respectively. Pre test and post test results for the control group scores were 40 and 55, respectively. Based on the results of the t-test calculation, tcount (4.202)> ttable (1.996) (α = 5% and dk = 67), Ha is then approved. Results are up to 0.7 in the medium criteria according to the effect size calculation. Thus, it can be said that the use of the mind mapping learning paradigm has a beneficial effect on class IV elementary school students' capacity for creative mathematical thought.