'geometry' Search Results
Pre-Service Teachers’ Problem Solving Skills and Curiosity Levels
problem solving skill curiosity pre-service teacher...
The aim of the study is to examine the pre-service teachers’ problem solving skills and curiosity levels according to different variables and to determine whether there is a relationship between them. The research was designed as a descriptive study in the survey model. The sample of the study consists of 1st and 4th grade pre-service teachers in the departments of German, Science, English, Mathematics, Music, Pre-school, Painting, English, Mathematics, Turkish Language Teaching at a university in Turkey. “Curiosity Scale” adapted into Turkish by Demirel and Diker Coskun, “Problem Solving Inventory” adapted into Turkish by Sahin, Sahin and Heppner and “Personal Information Form” prepared by the researcher were used as data collection tools. In the analysis of the data obtained, SPSS-Windows 22.00 package program was used and descriptive statistics and parametric tests were applied in accordance with the sub-problems of the study. In addition, a correlation analysis was conducted to determine whether there was a relationship between pre-service teachers’ problem solving skills and curiosity levels. Based on the findings, suggestions about the problem solving skills and curiosity levels of the prospective teachers were presented.
The Impact of Peer Instruction on Academic Achievements and Creative Thinking Skills of College Students
peer instruction creative thinking academic achievements...
In the context that it was scrutinized in the present study, peer instruction was initially developed by Eric Mazur, a physicist. The aim of the present study was to determine the impact of peer instruction method on academic achievements and creative thinking skills of the students. The study was conducted with the pre-test-posttest control group method, a quasi-experimental design, which was defined as a two-factor mixed design. The study was conducted with sophomore students attending Firat University (FU), Faculty of Education, Social Studies Teaching Department in Turkey during the 2018-2019 academic year spring semester. The experiment (N = 30) and control (N = 30) groups were determined with convenience sampling (a non-random sampling method). Present study findings demonstrated that peer instruction method improved the achievement and creative thinking skill levels of the students. However, it was observed that the method was more effective on course achievement.
Adaptation of the Test Developed to Measure Mathematical Knowledge of Teaching Geometry in Turkey
teacher’s knowledge in geometry mathematical knowledge for teaching pedagogical content knowledge...
“Mathematical knowledge for teaching” is a concept indicating the requirement for a specific kind of knowledge required to teach mathematics. Mathematical knowledge for teaching necessitates a more complex structure than what is required to carry out mathematical tasks and the knowledge to do that. The purpose of this study is to realize the adaptation of “Mathematical Knowledge for Teaching -Geometry (MKT-G)” Test that was initially conceived in English to Turkish (or to Turkish culture). During the adaptation process; after the translations of the items, focus group interviews were held with a group consisting of mathematics teacher educators and experienced mathematics teachers, and then the data from 243 elementary mathematics teachers was analyzed via Item Response Theory (IRT). As a result of the analysis of the test items, psychometric values of the test items indicated that the items in the test performed well in Turkey. Besides, validity and reliability arguments were also tested. As a result, the Turkish version of the MKT-G test is highly reliable and valid to measure the teachers’ knowledge of teaching geometry.
Analysis of the Problems Posed by Pre-Service Primary School Teachers in Terms of Type, Cognitive Structure and Content Knowledge
problem-posing problem types content knowledge cognitive structure pre-service primary school teachers...
In the current study, the problems posed by pre-service primary school teachers within the context of semi-structured problem formation were analyzed according to their type, cognitive structure, and content knowledge. A total of 134 pre-service primary school teachers attending a state university in Turkey participated in the current study designed in line with the case study design. The pre-service teachers were presented with a table and they were asked to establish a problem suitable for the elementary level using the data given in the table. The data were collected through the established problem statements and written explanations of the participants. The collected data were analyzed by using both content and descriptive analyses. The findings have revealed that the pre-service teachers less preferred real-life problems than routine type of problems and the problems at the level of reasoning than the problems at the levels of knowing and applying. Moreover, nearly half of the pre-service teachers erroneously expressed the grade level for which they established their problem. The results have shown that the pre-service teachers do not adequately use real-life problems and problems at the level of reasoning and that there are deficiencies in their mathematical content knowledge depending on their knowledge of the curriculum.
Generalized Discrimination Index
kelley’s discrimination index item parameter item–total correlation item analysis classical test theory...
Kelley’s Discrimination Index (DI) is a simple and robust, classical non-parametric short-cut to estimate the item discrimination power (IDP) in the practical educational settings. Unlike item–total correlation, DI can reach the ultimate values of +1 and ‒1, and it is stable against the outliers. Because of the computational easiness, DI is specifically suitable for the rough estimation where the sophisticated tools for item analysis such as IRT modelling are not available as is usual, for example, in the classroom testing. Unlike most of the other traditional indices for IDP, DI uses only the extreme cases of the ordered dataset in the estimation. One deficiency of DI is that it suits only for dichotomous datasets. This article generalizes DI to allow polytomous dataset and flexible cut-offs for selecting the extreme cases. A new algorithm based on the concept of the characteristic vector of the item is introduced to compute the generalized DI (GDI). A new visual method for item analysis, the cut-off curve, is introduced based on the procedure called exhaustive splitting.
The Role of Adversity Quotient in the Field of Education: A Review of the Literature on Educational Development
adversity quotient role education review...
Adversity Quotient is a person's response to overcoming obstacles or problems. Barriers experienced, and the ability to overcome these obstacles vary in each person. This study was a literature review study focusing on adversity quotient in the field of education. This study reviewed several manuscripts that concentrated on research design, type of participants, and the critical role of adversity quotient in the field of education. A total of 18 articles were analyzed by exploring and reviewing manuscripts from trusted database journals, namely Scopus, Science Direct, and ERIC. This review explored three aspects of educational adversity quotient publications, including 1) the type of research design used in research related to adversity quotient in the field of education, 2) the types of participants chosen in research related to adversity quotient, and 3) the role of adversity quotient in education. Based on the results of manuscript reviews, adversity quotient research shows a great influence in the field of education. Research on adversity quotient shows that 1) descriptive and experimental research is the most commonly used design; 2) research participants in adversity quotient research are dominated by students, especially university students; 3) the role of adversity quotient is much shown in learning outcomes in the field of skills.
Assessment for Learning as a Driver for Active Learning and Learner Participation in Mathematics
active learning assessment for learning assessment methods learner participation social constructivism...
The article focused on the use of assessment for learning in promoting active learning and learner participation in mathematics. Assessment for learning (AfL) has been found to enhance learning and improve performance. However, teachers’ use of AfL to enhance active learning has not been clearly outlined. This study is part of the broader research study that explored mathematics teachers’ use of AfL to enhance mathematics teaching and learning in primary schools in Alexandra Township, Johannesburg. A case study research-type and a qualitative approach were used to collect data from mathematics teachers. Nine teachers were purposefully selected from whom data were collected using semi-structured interviews and non-participant observation. The findings revealed that teachers had limited pedagogical knowledge in using AfL to promote active learning in their classrooms. They failed to apply a learner-centred approach that promotes effective learner participation in mathematics classrooms. Therefore, it is recommended that teachers undergo ongoing continuous development on classroom time management and planning for the effective use of AfL.
Epistemic Action of Junior High School Students With Low Spatial Ability in Constructing Cube Nets
abstraction building-with construction epistemic action recognition...
This study aims to describe the abstraction of epistemic action, which includes recognition, building-with and construction in junior high school students with low spatial ability in constructing cube nets. The research method used in this study is an exploratory qualitative method with the primary data in the form of interviews with two junior high school students with low spatial abilities who were selected using an inclusive purposive sampling technique. Based on data analysis on the two subjects, it was found that the two subjects constructed a cube net of 14 plain cube nets, 14 colour cube nets and 14 cube nets with variations of domino motifs. In the activity of constructing the cube nets, the two subjects used different epistemic actions; subject SR1 constructed the cube nets as a whole using only two epistemic actions, referred to as recognition and building-with. The activity of subject SR2 in constructing cube nets as a whole uses more epistemic actions that are tiered and interrelated with each other, where the first action that occurs is recognition, the second is building-with, and the third is construction.
Traditional Houses in Ethnomathematical-Thematic-Connected-Based Mathematics Learning
math connection ethnomathematics problem-solving culture-themed learning using traditional house...
Traditional houses are part of the culture of every country. Indonesia is a country that has a variety of traditional houses. The traditional Banyuwangi house is known as the Using house. This house can be explored in terms of ethnomathematics and used as part of learning mathematics. This research is focused on knowing and describing mathematics learning that integrates the ethnomathematics of Using house, thematic, and connected models. The research was also conducted to determine the effectiveness of the learning that has been carried out. The results showed that the use of the Using house in ethnomathematical-thematic-connected-based mathematics learning: (1) could be done using the trivium concept (literacy, matheracy, and technoracy); (2) can be done thematically by integrating four subjects (Indonesian, social sciences, fine arts, and mathematics); (3) can be connected by integrating two mathematical concepts (two-dimensional geometry and arithmetic); (4) through seven phases of learning; and (5) effective because 80% of students can solve problems as expected.
Mathematical Creativity: Student Geometrical Figure Apprehension in Geometry Problem-Solving Using New Auxiliary Elements
cognitive flexibility geometrical figure apprehension mathematical creativity new auxiliary elements...
The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students’ mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric problems with novel auxiliary features such as straight lines and curved lines. In other words, this study determined if geometry knowledge influenced mathematical creativity (cognitive flexibility) in problem-solving. Grade-12 students participated in the intervention. The high school that is the research topic attempts to equip students with academic abilities and is, except for vocational schools, the most popular form of high school among all other types. Such a school was chosen for the study so that a significant proportion of students in Makassar could be represented. In this study, we discovered a relationship between cognitive flexibility and the geometric ability of pupils while solving problems involving auxiliary lines. This indicates that the usage of auxiliary lines as a reference for developing pupils’ creative thinking skills must be advocated. In addition, good geometric abilities (e.g., visual thinking, geometrical reasoning) will encourage pupils to generate various problem-solving concepts. This finding contributes significantly to future research by focusing on auxiliary lines.
Effects of Worksheets on Problem-Solving Skills: Meta-Analytic Studies
effect meta-analytic problem-solving skill worksheet...
The purpose of this study was to compile and statistically analyze the results of research studies that examined students' problem-solving skills in worksheets. The research method used was a meta-analysis. The study search was conducted from 2013 to 2022 in Google Scholar and the Garuda portal databases. The search yielded 40 studies that met the inclusion criteria for extraction from research and development, experimental, and quasi-experimental. From the extracted results, 45 comparisons of data were examined. Microsoft Excel was used to calculate the effect size of the problem-solving worksheet. This study yielded a value of 1.281 for the entire study, indicating that the worksheet had a significant and positive impact on students' problem-solving skills. The results indicate the need to develop worksheets to improve students' problem-solving skills.
Game-Based Learning Kit Method in Isometric Transformations: Usability and Effects on Students’ Achievement and Motivation
game based learning isometric transformations mathematics motivation...
This study focused on the development of teaching aids for the topic of Isometric Transformations for Form 2 students in Malaysia. The first objective was to determine the usability of teaching aids in the isometric transformations kit integrates game-based learning (GBL) Method (KitTI Method) and the second objective was to examine the effectiveness of using the KitTI Method on students’ achievement and motivation. This study was directed by the Design and Development Research (DDR) model with survey and quasi-experimental designs. The sample selection was conducted by cluster sampling involving Form 2 students from schools in the district of Muallim and Batang Padang in the state of Perak. The instruments used were KitTI Method Teaching Aids Usability Questionnaire (KMTAUQ), Isometric Transformations Topic Achievement Test (ITTAT), and KitTI Method Motivation Questionnaire (KMMQ). The findings showed that the mean score of KitTI Method‘s usability was high, the treatment group obtained significantly higher improvement in achievement compared to the control group while the mean scores of pre-test achievement as a covariate and students’ motivation in learning Isometric Transformations were high. Therefore, the KitTI Method is suitable to be implemented as a guide for mathematics teachers in designing dynamic teaching and learning and is able to improve students’ achievement and motivation.
Proportional and Non-Proportional Situation: How to Make Sense of Them
characteristics of mathematics teachers non-proportional situations proportional situations...
Teacher knowledge is one of the main factors in the quality of mathematics learning. Many mathematics teachers have difficulty using proportional reasoning. Proportional reasoning is one of the essential aspects of the middle school mathematics curriculum to develop students' mathematical thinking. Teachers should realize that developing proportional reasoning is not an easy task. In this study, we investigated how teachers give proportional reasoning about the concept of proportional and non-proportional situations, especially in making sense of them. The research subjects were mathematics teachers who had taught proportional-related material. Data was collected using task-based interviews outside the teacher's working hours. Data analysis and interpretation were completed using a framework meaning-based approach. The results of the data analysis showed that the teacher is careful in understanding information, is aware of multiple meanings, and knows key information in understanding the contextual structure of proportional and non-proportional situations. Furthermore, they are also able to identify additive and multiplication relationships, have flexibility in understanding proportional and non-proportional situations separately or collectively, and understand problem-solving systematics in detail.
Systematic Literature Review: Effectiveness of a Teaching Aid Based on the Achievement and Interest of Students in the Field of Measurement and Geometry
geometry isometric transformation mathematics teaching aids...
The purpose of this systematic literature review (SLR) is to identify: (a) the topic of the study, (b) the research methods used, and (c) the results of research on Mathematics education in Malaysia. This study discusses the use of teaching aid (TA) in the field of syllabus and geometry for Form 2 students. The use of TA is considered highly successful and relevant for educators to improve the quality of the teacher’s instructions and students’ understanding. Therefore, using the rules of optional reporting items for systematic review and meta-analysis (PRISMA), a review system was carried out to determine the appropriate strategies and variables for the field. Four stages constitute the PRISMA paradigm used in this study: identification, screening, qualification, and admission. Using criteria opted by researchers from multiple searches, including Google Scholar, ResearchGate, Scopus, and Emerald, over 20 papers were identified for additional investigation. The data were then analysed quantitatively to describe the research's findings. From the results, two main research themes were found, namely (a) learning to use TA; and (b) the field of measurement and geometry of Mathematics. The results of the article analysis indicate that Mathematics education in Malaysia is currently at a moderate level and is ineffective at fostering students' understanding and interest. These results are anticipated to serve as the foundation for teachers, students, schools, and the Ministry of Education to undertake more engaging and interactive learning, particularly in the subject areas of mathematics and geometry.
The Influence of Teacher Efficacy on Education Quality: A Meta-Analysis
education quality meta-analysis study teacher efficacy...
This research aims to prove the influence of teacher efficacy on learning quality with quantitative meta-analysis. The eligibility criteria in this study include: (a) The publication can be searched in Google Scholar, ERIC, DOAJ, Research Gate, and or ScienceDirect; (b) The publication is indexed in Scopus, WoS, SINTA (a portal indexing journal managed by the Ministry of Education and Culture of the Republic of Indonesia, equivalent to DOAJ and Index Copernicus), DOAJ, Index Copernicus, and at least they must be indexed in Google Scholar; (c) The topic of the studies must be relevant; (d) The studies must be carried out in the 2014-2023 year range; (e) The publication must have a value of (r), (t) or (F); (f) The studies have a magnitude of N ≥ 20. This study used the JASP application for data analysis. The results showed that: (a) the 40 studies analyzed were heterogeneous and normally distributed; (b) the influence of teacher efficacy on education quality is classified as strong (p < 0.05; rRE = 0.800); (c) publication bias was not detected. This study concluded that teacher efficacy has a strong influence on education quality.
Effectiveness of Project-Based Learning on STEAM-Based Student’s Worksheet Analysis With Ecoprint Technique
motivation steam student creativity worksheet...
The objective of this research was to assess the efficacy of project-based learning in enhancing the analysis of student worksheets in the domains of Science, Technology, Engineering, Arts, and Mathematics (STEAM) with the integration of the ecoprint technique, focusing on its influence on student motivation and creativity. This investigation was conducted as a quasi-experiment involving a sample size of 150 students selected through cluster sampling. Data collection was executed using standardized tests, with instrument validity ascertained through the Aiken index and instrument reliability determined via Cronbach's alpha coefficient. Data analysis was performed using multivariate analysis (MANOVA) and descriptive quantitative methods. The study's findings reveal a significant disparity in the mean scores of both learning motivation and student creativity. In conclusion, the implementation of project-based learning coupled with STEAM-based student worksheet analysis utilizing the ecoprint technique yields a substantial enhancement in learning motivation and student creativity. These findings underscore the success of employing STEAM-based worksheets in conjunction with the ecoprint method to foster students' motivation and creativity, as ecoprint inherently encompasses all STEAM components within the manufacturing process.
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Mapping Ethnomathematical Research Directions and Trends in the Scopus Database: A Bibliometric Analysis
bibliometric ethnomathematical research mapping scopus database...
Although research on ethnomathematics has been widely carried out, there is still little empirical evidence reporting the mapping and trends of ethnomathematical research in Scopus-indexed journals. The purpose of writing this article is to map trends in ethnomathematical research in Scopus-indexed journals in the range from 1986 to 2022. The fundamental tenet of ethnomathematics is to study, appreciate, and exclusively take into account the application of mathematics by ethnic groups. In other words, in understanding mathematics to look attractive, it is necessary to make a connection between everyday life and the realm of abstract mathematics. Scopus is a resource for further research, identifying scientific uniqueness and gaps. This study uses bibliometric analysis methods using VOSviewer, article searches using Publish or Perish (version 8), and SEforRA applications. Bibliometric research provides a reliable and impartial way to gauge the contribution of an article to knowledge advancement and is a tool that is often used to analyze trends and performance on certain subjects. These findings reveal an increasing trend in ethnomathematical research and identify some topics or keywords that could form the basis for additional studies. In conclusion, for future studies, bibliometric analysis will provide information and knowledge about the evolution of ethnomathematical research.
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