Mathematical Creativity Research Articles

Systematic Review on the Essentials of Creative Mathematical Thinking

Creative thinking skills can prepare students to be tangent, creative, and competent problem solvers in an ever-evolving world, so educators are required to understand patterns and factors that positively influence the development of creative thinking skills. The aim of this research is to identify patterns and factors that influence creative thinking skills in learning. The method used in this research is the exploration and conceptualization of mathematical creative thinking skills. The research explored 15 articles through Scopus databases, Google Scholar, Publish or Perish, and Google. Data analysis is conducted through CAQDAS ATLAS.ti, with coding objectives, methodology, and research conclusion. This research found that most of the articles highlighted task orientation, epistemological approaches, problem submission tasks, Multidimensional Creativity Assessment (MCA), tutor beliefs, problem solving, SCAMPER methods, valid instruments, social skills, confidence, belief and anxiety, and Practical Mathematical Talent Models. Overall, the contributions from this research have shown the importance of building creative thinking skills in mathematics and science education, along with various approaches and factors that contribute to the development of such skills.

How do elementary school teachers shape their students' self-regulated and creativity in learning mathematics?

How do elementary school teachers shape their students' self-regulated and creativity in learning mathematics?

Unplugged activities in the elementary school mathematics classroom: The effects on students’ computational thinking and mathematical creativity

The rapid development of artificial intelligence technology has led to the proliferation of computational thinking (CT) education. However, research on unplugged activities’ influence in elementary math classrooms is limited, despite some exploring programming's cognitive benefits. This study presents both qualitative and quantitative analyzes stemming from a ten-week quasi-experimental research endeavor, specifically tailored for third-grade students. The research devised a series of unplugged activities, encompassing mathematical games, hands-on construction of mathematical logic boards, and calculating shopping discounts. The overarching objective was to investigate the impact of these unplugged activities on students’ mathematical creativity and CT. Students participating in a mathematics curriculum based on unplugged activities (N = 47) were compared with students participating in a traditional lecture-based mathematics curriculum (N = 46). The results indicated that unplugged activities exhibited significant advantages in fostering students’ CT and mathematical creativity across three dimensions, namely, problem-posing creativity (t = 5.830, p < 0.01), problem-solving creativity (t = 6.633, p < 0.01), and creative self-efficacy (t = 7.554, p < 0.01). Furthermore, the study revealed a relationship between students’ mathematical creativity as a predictor of CT. The results of the quantitative analysis were supported by the teacher's and students’ interview data, and the students felt excited and interested in the unplugged activities, whereas some students using the lecture-based method reported boredom and lack of interactivity. This research offered valuable insights for mathematics and CT education practice, underscoring unplugged activity as an innovative instructional approach that brings forth new possibilities for traditional mathematics teaching, with potential applications in the K-12 curriculum.

Impact of Differentiated Learning Management on Enhancing Students' Creative Thinking in Mathematics

In the era of globalization, innovation in education is essential, particularly in fostering students' creative thinking abilities. Mathematics, as a core subject, requires teaching strategies that stimulate creativity. This study explores the influence of differentiated learning management in mathematics on students' creative thinking at MIN 1 Sidoarjo. A quasi-experimental design with a quantitative approach was used. The research population included all students at MIN 1 Sidoarjo, with the sample drawn from class VI students. Data were collected using pre-tests, post-tests, and questionnaires, and analyzed using t-tests to assess the impact of the differentiated learning approach on creative thinking. The findings reveal that differentiated learning management significantly enhances students' creative thinking in mathematics. The experimental group, which received differentiated instruction, showed greater improvements in creative thinking compared to the control group, which followed a traditional teaching approach. The results highlight the positive influence of differentiated learning strategies in promoting creativity within mathematics education. The experimental group's superior performance underscores the need for more innovative teaching practices to meet the demands of modern education. Differentiated learning management in mathematics has a significant positive effect on students' creative thinking. These findings offer important insights for educators seeking to enhance creativity through tailored instructional methods.

EKSPLORASI HUBUNGAN ANTARA LITERASI NUMERASI DAN KEMAMPUAN BERPIKIR KREATIF MATEMATIS DI MADRASAH TSANAWIYAH

Numeracy literacy and mathematical creative thinking are essential skills for students to tackle learning challenges and solve problems effectively. However, there are gaps in their understanding of these skills. This study aims to examine the relationship between numeracy literacy and mathematical creative thinking among students. A simple regression and correlation analysis was used as the research method. The sample consisted of 33 students randomly selected from a population of 113. Data were gathered through tests on numeracy literacy and mathematical creative thinking skills after a trial phase. Findings reveal a significant relationship between numeracy literacy and mathematical creative thinking, with a correlation coefficient of 0.857. The R-value of 0.857 indicates that 73.50% of the variation in mathematical creativity skills is explained by numeracy literacy. The study identifies four patterns: students with high literacy and creativity excel in analysis, while those with mixed levels show varying strengths and weaknesses in data interpretation and innovation.

ANALISIS KEMAMPUAN BERPIKIR KREATIF DITINJAU DARI ADVERSITY QUOTIENT PADA PEMBELAJARAN CREATIVE PROBLEM SOLVING PENDEKATAN OPEN-ENDED

This research aims to determine the quality of creative mathematical thinking abilities in terms of AQ in CPS learning with an open-ended approach assisted by G. Classroom. The type of research is quantitative research. The research population was all class VII. The research sample used a cluster random sampling technique. The conclusions of the results of the analysis were: (1) the mathematical creative thinking ability of participants who received the CPS learning model with an open-ended approach assisted by Google Classroom achieved BTA (2) Students with the ability to think creatively mathematically in terms of AQ in CPS learning with an open-ended approach assisted with Google classroom achieves learning completeness of more than 75%, (3) the mathematical creative thinking ability in the CPS learning model with the open-ended approach assisted by G. Classroom is better than the PBL learning model, (4) the proportion of mathematical creative thinking ability completeness in the CPS learning model approach open-ended with the help of Google Classroom is more than the proportion of students in the PBL learning model, (5) there is a difference in the average increase in mathematical creative thinking abilities of students in the CPS learning model with the open-ended approach assisted with G. Classroom and students in the PBL learning model, (6) There is a positive influence on the adversity quotient on the ability to think creatively mathematically in mathematics learning

Analysis of Mathematical Creative Thinking Ability in View of Students' Confidence in Number Pattern Material

In the 21st century, learning mathematics requires students to master 4 skills, one of which is creative mathematical thinking. This ability will encourage students to have different points of view in solving a problem. The low ability to think creatively in mathematics is shown by the large number of students who are unable to express creative ideas when studying mathematics. One of the things that underlies creativity is self-confidence because there is a relationship between the two. The aim of this research is to describe mathematical creative thinking abilities in terms of self-confidence in number pattern material. This research is descriptive qualitative research. The subjects in this research were 6 students with high, medium and low self-confidence categories in each class VIII A and VIII B. The data collection techniques used were questionnaires, tests and interviews and analyzed using triangulation of sources and techniques. Apart from that, there are 3 stages of data analysis techniques, namely data reduction, data presentation, and drawing conclusions. The research results show that students with high self-confidence have a level of creative thinking ability (TKBK) 4 (very creative) by mastering the indicators of fluency, flexibility and novelty. Then students with moderate self-confidence have a creative thinking ability level (TKBK) 3 (creative) by mastering fluency and flexibility indicators. Finally, students with low self-confidence have a creative thinking ability level (TKBK) 3 (creative) by mastering indicators of fluency and flexibility.

The Effectiveness of Missouri Mathematics Projects Learning Model on Mathematical Creative Thinking Ability and Mathematical Disposition in Students

The Effectiveness of Missouri Mathematics Projects Learning Model on Mathematical Creative Thinking Ability and Mathematical Disposition in Students

GeoGebra—A great platform for experiential learning, explorations and creativity in mathematics

In this paper we are presenting some examples of how GeoGebra is used in: a) explaining concepts of the first derivative, monotony, extremums; b) studying the properties of the function (strictly increasing/decreasing); c) demonstrating the mean value theorem. The results and the conclusions are based on the experiment carried out in the teaching and learning process in the chapter of derivatives in a third-year class of a secondary school in Albania. Also, there are some encouraging facts got by the use of GeoGebra: the double representation and the dynamic features of GeoGebra allow the students to quickly grasp the mathematical concepts and properties and be actively involved in further explorations. The use of GeoGebra tools is similar to the use of the tools of virtual games, and this is a great advantage to stimulate the students to learn mathematics and master their mathematical performance the same way they play games. On the other side, using GeoGebra, it is easier for the teachers to explain mathematical concepts, the properties of algebraic objects, to discuss about different situations and aspects of the subject under study and to methodically reason the results got. GeoGebra provides a very commodious environment for the students to effectively interoperate with each other. Our results showed that GeoGebra is effective in teaching and learning mathematics. GeoGebra software contributed in enhancing students’ understanding of mathematical concepts and improved students’ interest to learn mathematics. Also, we admit that not all the stages of implementing GeoGebra software in the classroom are flowing smoothly. Based on our experience and the other researchers, it is observed that the effectiveness is dependent on the way GeoGebra is integrated in the teaching and learning process, implying that the research must continue with the commitment of many researchers of mathematics, physics and other sciences.

Analysing the Mathematical Critical and Creative Thinking Abilities in Problem Solving Introverted Students

This study aims to evaluate the critical and creative thinking abilities in the context of mathematics when solving problems related to arithmetic sequences and series among introverted students in the 11th grade at Xaverius 1 High School in Jambi City. This issue arises due to differences in thinking skills and cognitive processes among students based on personality types, where it was found that introverted students tend to have low mathematical critical and creative thinking abilities. The research method employed is a descriptive qualitative approach, collecting data through personality questionnaires, tests, and interviews. Research subjects were selected from introverted students based on personality questionnaire results and answer sheet analysis, with three students representing the various response groups. The results of this study indicate that introverted students demonstrate good mathematical critical thinking skills in understanding problems, planning, and implementing plans. However, they tend to overlook rechecking their solutions. The creative mathematical thinking abilities of introverted students mainly involve fluency and flexibility in understanding problems, planning, and implementing plans, although they lack in terms of originality and elaboration in problem-solving

Improving Students' Creative Thinking Skills in Mathematics Through Solving Open-Ended Problems

This study aims to improve students' creative mathematical thinking skills through solving open-ended problems. The method used in this study is Classroom Action Research (CAR), which consists of several stages: planning, implementation, observation, and reflection. The research subjects were 36 students. The results obtained from this study are that learning by solving open-ended problems can improve students' creative mathematical thinking skills, but not all achievement indicators are met. In cycle I, one student who answered in the non-creative category was very much while only a few were in the fairly creative category. In the second cycle, there was a change where students who answered in the non-creative category decreased and students who responded in the fairly creative category increased.

Examining the Effect of Problem-Based Learning Approach on Learners` Mathematical Creativity: A Meta-Analysis

Problem-based learning (PBL) is linked to developing learners` creative thinking in mathematics. This process-oriented approach capitalizes on using problems to stimulate learning through independent and collaborative investigations. This meta-analysis looked at the effectiveness of using PBL to influence mathematical creativity. Fifteen results from 13 studies were analyzed in which a medium effect (g=0.580) was computed using the random effects model. Further, the analysis of heterogeneity statistics suggests conducting a subgroup analysis in which only the strategy used in the comparison group and educational level, among the identified characteristics, moderates the effect of PBL on mathematical creativity. Future research should expand geographically to encompass a more diverse educational landscape and include a broader demographic to validate the efficacy of PBL across different age groups and cultural contexts.

Predicting multidimensionality of mathematical creativity among students: Do mathematics self-efficacy, attitude to mathematics and motivation to mathematics matter?

Mathematical creativity is the focus of most curriculum in that students with this ability are prone to solving problems in society from a multidimensional perspective. However, studies of this nature, especially in Africa, are limited, and this poses a challenge to policy development. To cover this gap, the study sought to model the predictive effect of mathematics self-efficacy, motivation for mathematics, and attitude towards mathematics on mathematical creativity from a multidimensional perspective. The study adopted a cross-sectional survey using 654 mathematics students for the study. Two instruments–the mathematics self-efficacy, attitude towards mathematics, and mathematical motivation scales and the mathematical creativity test were used for data analysis after they had undergone a qualitative and quantitatively rigorous validation process. This was done using exploratory and confirmatory factor analysis with the average variance extracted and Fornell-Larcker criterion for convergent and divergent analysis, respectively, while Cronbach’s alpha was used to determine the stability of the scales. Analysis was performed using hierarchical regression and the result showed that mathematics self-efficacy and attitude towards mathematics, when taken individually, are the only strong predictors of mathematics creativity from the perspective of fluency, flexibility, and originality components. Collectively, the three predictors were significant in contributing to the variance in mathematics creatively from the three dimensions assessed. However, mathematics self-efficacy was the strongest predictor, followed by attitude towards mathematics. The implications of the study were discussed for policy and curriculum redesign in mathematics education.

Geogebra in Real-Life: Important Tips to Support Student Creative Thinking in Mathematics

Creativity is an important personality trait to use in everyday life. This allows us to be flexible when facing real life situations. Mathematics education should be seen as an opportunity for creativity development, even though creativity is not traditionally associated with mathematics. One of the goals of education at every level is to encourage students to think creatively, think logically, and be able to solve problems. This study aimed to provide important tips to support the student creative thinking when studying mathematics. This study also described activities outside the classroom that could develop the student creativity related to geometry. The methods used were surveys, interviews, and classroom and outdoor observations. We used brainstorming in mathematics education. The results of the research during the survey were visible. Researchers collaborated with students aged 19 to 21 years. We asked them to search for “any geometry” and take pictures of interesting objects while they were doing the activity. Next, students created ideas for geometry assignments based on the photos they took. The large collection of photos collected represented the basis for creating mathematical problems without any specific steps related to geometric objects. These open problems could be solved by students. In conclusion, Geogebra could encourage the student creative thinking by providing the opportunity to experiment with their own ideas and find solutions to mathematical problems.

Ethnomathematics Digital Student Worksheet Using the Problem Based Learning Model to Improve Creative Mathematical Thinking for Elementary School Students

Low creative mathematical thinking ability is caused by the difficulty of learning mathematics on the division of decimal numbers. Therefore, this research aims to develop digital ethnomathematics worksheets using the PBL model to build students' creative mathematical thinking skills on division of decimal numbers in class V elementary school. This type of research is development research with the ADDIE development model. The subjects of this research were 7 material experts and 2 learning media experts. The test subjects in this research and development were 8 students. Data collection techniques include observation, interviews, and questionnaires. The data collection instrument is a questionnaire sheet. The techniques used to analyze the data are qualitative and quantitative descriptive analysis. The research results, namely the assessment results given by learning material experts, were 84.29% so they were declared very good. The assessment results by learning media experts were 90.00% so they were declared very good. The assessment results by students obtained an overall average score of 81.52%, so it was very good. It was concluded that digital ethnomathematics worksheets using the PBL model were suitable for learning. This research implies that using digital ethnomathematics worksheets using models can improve students' creative thinking.

Investigating the effects of Realistic Mathematics Education on mathematical creativity through a mixed-methods approach

This study investigates the effect of Realistic Mathematics Education (RME) on mathematical creativity among 96 seventh-grade students in North Kalimantan. Using an embedded experimental design, students were assigned to an experimental group (RME) and a control group (conventional teaching), each consisting of 32 students. The pretest and posttest showed a significant increase in mathematical creativity in both groups, with a greater increase in the RME group. Interviews indicated that RME positively impacted students' mathematical self-efficacy, proficiency in fractions, and enjoyment of learning. Students also favored teaching on the blackboard and mathematics games, which increased their interest. These findings confirm the effectiveness of RME in enhancing mathematical creativity and suggest further exploration of diverse learning media and icebreakers. This study highlights the potential of RME to foster creativity and recommends its integration into the mathematics curriculum.

HIGHER ORDER THINKING SKILLS IN MATHEMATICS AT ELEMENTARY SCHOOL

This research aims to describe creative thinking skills and mathematical problem solving abilities through the application of a project-based learning model. This research uses a quantitative approach with a quasi-experimental method with a posttest-only group design. The sample consisted of 53 students in class V of elementary schools in East Manggarai district which consist two class, with details in the experimental class total 27 people and the control class total 26 people. The sampling technique uses random sampling technique. Data collection techniques use test techniques. The tests used are descriptive tests both to measure creative thinking skills and for data about problem solving abilities. Based on the reliability test results, all items are in the high category. The data analysis technique using MANOVA with the help of SPSS 23.00. The asumtion tests used are data normality test, data homogeneity test, and multicolinearity test. Research findings show that both separately and simultaneously the creative thinking ability and problem solving ability of students who receive learning using the project-based learning model is higher than students who receive learning with conventional models. The project model also has a strong and important impact on the creative thinking abilities and mathematical problem solving abilities of elementary school students. In conclusion, the implementation of the project-based learning model is one of the alternative choices used by teachers for creativity in learning mathematics in elementary schools.

Kreativitas Guru dalam Meningkatkan Minat Belajar Siswa pada Mata Pelajaran Matematika di MI Tarbiyyatul Arifin

Education is a component that is used as a reference for the progress of a nation. This research aims to examine teachers' creativity in learning mathematics to increase students' interest in learning. A teacher must have great creativity in the learning process so that students can be interested in learning mathematics. This research is qualitative that took place in MI Tarbiyyatul Arifin. Data collection was carried out through structured interviews, observation and documentation. Data analysis is carried out by collecting data, presenting it and drawing conclusions. The results of the research show that the creativity that an educator possesses is product creativity and person creativity. Product creativity in the mathematics learning process uses media in concrete ways that use real-life examples. The personal creativity that an educator possesses is that he or she has a good personality, is intelligent, has new ideas in the learning process, is friendly, is good at communicating and can dominate the class well. The learning process can also be enjoyable and comfortable for students to learn. This increases the interest of MI Tarbiyyatul Arifin students in learning

Mathematical Creative Thinking and Differences in Students' Cognitive Styles in Learning Achievement: A Systematic Literature Review

Mathematical Creative Thinking and Differences in Students' Cognitive Styles in Learning Achievement: A Systematic Literature Review

Role of creative self-efficacy and perceived creativity as predictors of mathematical creative thinking: Mediating role of computational thinking

In the field of education, research has consistently emphasized mathematical creative thinking as a crucial component of 21st-century skills. Thus, this cross-sectional study examines the predictors of such thinking by specifically focusing on the roles of perceived creativity, creative self-efficacy, and computational thinking. The participants consisted of 896 secondary school students (52.9 % female; 47.1 % male) in Indonesia who were asked to complete a series of online questionnaires and tests. For analysis, structural equation modeling was employed, demonstrating satisfactory construct validity and instrument reliability. Based on the results, there was a positive association between computational thinking and mathematical creative thinking. In addition, perceived creativity had a positive impact on mathematical creative thinking, whereas creative self-efficacy showed a negative association. As for the empirical model, it revealed that computational thinking plays a mediating role, connecting perceived creativity and creative self-efficacy to mathematical creative thinking. The findings suggest that incorporating these skills and related variables into the mathematics curriculums in schools is essential for preparing students for success in the 21st century.