Academic literature on the topic 'Mathematics Creative thinking. Education Mathematical ability Creative ability in children'

Mathematics is an integral part of day-to-day life, which is why mathematics education is key in order to establish solid foundations. A one-size-fits-all approach cannot be applied to the learning of mathematics and traditional teaching methods aren't effective for every learner. This is why research looking at new methods of teaching mathematics in order to equip children with lifelong skills is important. Professor Miyo Akita, Naruto University of Education, Japan, is working to transform how mathematics is taught in order to make it accessible to all. One of her goals is to focus on the creativity that she believes is inherent to mathematics. She believes that, traditionally, mathematics teaching has been too rigid and instead is placing emphasis on flexibility, with a view to facilitating effective learning. She is also establishing methods for autonomous learning, using a simple and easy-to-understand model. Akita is developing this model in collaboration with Noboru Saito, Saitama Dakuen University, Japan. From her findings on how to foster autonomous learning, Akita found that it is important that students explain new properties using known properties, forming meaningful connections that facilitate learning. She also underlined the importance of the representation of relationships in mathematical thinking. In another, interconnected investigation, Akita set out to propose a learning model for developing creative and autonomous learners in mathematics that involves linking previous knowledge to new knowledge in order to better understand it.

Senior preschooler is a sensitive period in the development of the cognitive activity. Exactly in this age, child learns to clearly realize intended goal and search for the ways to implement it independently. In the sixth year of life, the children start to possess ability for arbitrary memorizing; the creative and logical thinking actively develops; the interest for constructive work increases. The constructive work is complex cognitive activity during which a child learns skills, select significant signs, establish relations and connections between details and objects. The use of Lego-technology in the play and education purposes allows to solve complex cognitive, exploratory and creative tasks in the interesting, available, comprehensible, game form. The tasks of the educational activity with the preschool children are solved with the help of the construction toys on such directions: development of fine motor skills; development of attention, memory, thinking; training of correct and fast direction finding; acquisition of mathematical knowledge about quantity, form, proportions, symmetry; extension of the perceptions of children about the world around, architecture; development of the imaginations, creativity; training of the communication with each other, respect for their work and work of other people.

In the context of humanization and democratization of the educational space, the issues of comprehensive development of preschool-age child, development of his creative potential, national consciousness, independence and formation of interaction skills with other people become especially relevant. The development of the theory and practice of preschool education in Ukraine makes it possible to state today the forms today, methods and techniques of the educational process are being improved. Today there is a need for purposeful development of logical methods of thinking of preschoolers, which is provided, first of all, in the process of formation of elementary mathematical representations. The main place in this process belongs to the development of cognitive interest of preschoolers. The article has shown that it will have a positive effect on the expansion of the outlook of preschool children and will help to consolidate basic mathematical ideas of creating such an educational environment, when these classes will be combined with the use of means of choreographic influence. The purpose of the article – using elements of rhythm and choreography to integrate mathematical content in the play activities of preschool children. A search and bibliographic tool is used to collect, accumulate, and describe the necessary information sources by us; analysis and synthesis – to organize the procedure of research search; methods of generalization and systematization – for rational processing of the obtained results. Today, in order to form a comprehensive picture of the world and the ability of students to apply their knowledge in typical as well as atypical situations, modern preschool education should be directed not at the acquisition of individual knowledge from different fields by children, but at their integration. Educators need to organize the educational-cognitive process so that it stimulates the cognitive-search, mathematical activity of children, develops the ability to make assumptions, find out contradictions, formulate decisions. The article substantiates the importance of using the kindergarten preschool institutions to entertain the potential of mathematical and choreographic play. Examples of such games are provided. Having been preparing children for study at the New Ukrainian School, the caregivers should pay particular attention to integrating logic and mathematical development with other artistic pursuits. In particular, the combination with various forms of choreographic activity is quite successful.

Many studies have shown a link between being competent in early mathematics and achievement in school. Early math skills have the potential to be the best predictors of later performance in reading and mathematics. Movement and songs are activities that children like, making it easier for teachers to apply mathematical concepts through this method. This study aims to develop audio-visual learning media in the form of songs with a mixture of western and traditional musical idioms, accompanied by movements that represent some of the teaching of early mathematics concepts. The stages of developing the ADDIE model are the basis for launching new learning media products related to math and art, and also planting the nation's cultural arts from an early age. These instructional media products were analyzed by experts and tested for their effectiveness through experiments on five children aged 3-4 years. The qualitative data were analyzed using transcripts of field notes and observations and interpreted in a descriptive narrative. The quantitative data were analyzed using gain score statistics. The results showed that there was a significant increase in value for early mathematical understanding of the concepts of geometry, numbers and measurement through this learning medium. The results of the effectiveness test become the final basis of reference for revision and complement the shortcomings of this learning medium. Further research can be carried out to develop other mathematical concepts through motion and song learning media, and to create experiments with a wider sample. Keywords: Early Mathematical Skills, Movement and Song Idiom Traditional, Audio-visual Learning Media References An, S. A., & Tillman, D. A. (2015). Music activities as a meaningful context for teaching elementary students mathematics: a quasi-experiment time series design with random assigned control group. 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The purpose of this study is to determine the level of students' mathematical creative thinking ability in solving open-ended problems in discrete mathematics courses. This research uses descriptive qualitative method. The population in this research is the third semester students of Mathematics Education UMT. The sample was taken by norm referenced evaluation technique that is students in semester III-A3 who have high, medium and low mathematical ability. The instruments used include creative thinking ability tests, observation sheets and interview guides. The result of data analysis shows that the students with the category of creative mathematical thinking level with the percentage of respondents is 84.61%, the category of mathematical creative thinking level is very low with 12.82% percentage, the level of creative creativity level is not creative with 2.56% percentage. From the result, we get the average category of students' mathematical creative thinking ability in the third semester-A3 is 67,94 with medium category level.

This study examines the effect of scientific debate instructional on the enhancement of mathematical creative thinking ability of students.This study is quasi-experimental with a static group comparison design involves 94 students from Department of Mathematics Education. Research instruments include student’ prior knowledge of mathematics (KAM) and creative thinking ability test. Scores of the the enhancement of mathematical creative thinking ability were analyzed with normalized gain test. The Effect of Scientific Debate instructional and conventional instructional was used the Mann-Whitney U and Kruskal Wallis test. The study finds that the enhancement in mathematical creative thinking ability with scientific debate instructional was better than conventional. The enhancement of student’ mathematical creative thinking abilities with a scientific debate instructional based on the KAM, it is not completely distinctive. On the other hand, the enhancement of student’ mathematical creative thinking abilities with a conventional instruction based on the KAM was considerably different. On the scientific debate instructional, student’s educational background differences do not give major effect on the enhancement student’ mathematical creative thinking abilities but on the conventional instructional provides a better effect.

This study aims to determine the ability of mathematical creative thinking of students in one of the Vocational Schools in Cimahi City with indicators of students' mathematical creative thinking skills used are fluency, flexibility, originality and elaboration. The ability to think creatively mathematically is the ability to learn mathematics in finding new ideas or ideas that are different from the way, in their own language. This research was conducted on 29 students in one of the Vocational Schools in Cimahi City using qualitative descriptive methods. The instruments used were in the form of 4 items of description with mathematical creative thinking skills in space geometry. After getting the results or data, then the data is presented in the form of a percentage. And it can be concluded from this study that the ability of mathematical creative thinking of SMK students in Cimahi City is still very low because only one indicator whose percentage exceeds 50% is an indicator of fluency. The results of this study can increase knowledge about mathematical creative thinking of students in one of the Vocational Schools in Cimahi City and is useful to facilitate education practitioners in developing mathematical creative thinking skills

This research aims to look at the difference in the ability of mathematical creative thinking in students, through Realistic Mathematical Education learning or RME and through conventional learning. The research design used was an experiment, namely in the form of a test of the ability of creative thinking. The population in this study of Junior High School students throughout the country, namely in West Bandung Regency. Sample research VIII grade i.e. in one of the Junior High School in West Bandung chosen at random and selected class A (grade experiment) that uses learning Realistic Mathematics Education (RME) and class B (grade control) that uses regular or conventional learning. The research results showed that the p-value of 0.000 < critical limits. Thus, the ability of mathematical creative thinking of the students who got the learning with Realistic Mathematics Education better than the students who got conventional learning.

<p>This research implements Problem Based Learning and Discovery Learning model to analysis the increase of mathematical creative thinking skills, mistakes in the process of mathematical creative thinking, and self-efficacy of high school students in Tasikmalaya. The research method used is descriptive, data collection techniques through creative thinking ability tests and questionnaires mathematics self-efficacy. The instruments were previously assessed by experts in mathematics education. Based on the data analysis, it is concluded that the mathematical creative thinking abilities of students through Problem Based Learning is increasing compared to the mathematical creative thinking abilities of students through Discovery Learning. Mistakes students of mathematical creative thinking processes in Problem Based Learning, generally on flexibility and originality indicators. While at Discovery Learning, mistakes students of mathematical creative thinking processes is generally on sensitivity, flexibility and originality indicators. Flexibility is solving the problem with a variety of different ways, but the result is the same, and originality is to solve the problem in its own way does not use a standard formula. Sensitivity is the ability to detect problems. Self-efficacy of students in Problem Based Learning and Discovery Learning are both at high qualifications.</p>

Problem Posing approach is necessary for teacher training students. Problem Posing can train students to create questions/problems and their solutions. Make problem then solve it is part of student’s creative thinking ability. Differential equations problem is one of the materials that learned in mathematics education courses. Every teacher training student of mathematics has diverse skills. This diversity certainly brings various creative thinking skills as well. The purpose of this study is to determine the ability of student’s creative thinking in mathematical education courses, differential equation problem posing. This study uses a qualitative approach with descriptive methods. Sources of data in this study are the students of mathematics education consist of one student of each with high, medium, and low begining math ability. The data collection was conducted by using observation, testing, and interviews. Technique authenticity of data using a triangulation method. Data analysis technique done in stages, data reduction, data presentation, drawing conclusions, and verification. The result of this study were (1) Students with high initial capability not have fluency and flexibility of thought, but it shows the novelty think that qualifies as a Creative Thinking Ability Level (CTAL) 2 is creative enough, (2) Students with prior knowledge currently have the fluency of thought, but do not have the flexibility and novelty think that qualifies as a Level capabilities creative thinking (CTAL) 1 is less creative, (3) Students with prior knowledge low yet has grace, eloquence, and the novelty of thought that goes into the criteria of creative thinking ability Level (CTAL) 0 is not creative.