Improve Mathematics Education Research Articles

MATHEMATICS TEACHING TECHNOLOGIES DEPENDING ON STUDENTS' COGNITIVE ACTIVITY CHARACTERISTICS: PARTIAL SEARCH AND HEURISTIC METHOD

Improving mathematics education is a multifaceted process and therefore needs to be approached from different angles. Along with the improvement of the content and methods of teaching mathematics in primary school, students should be provided with high interest, initiative and activity. In the article, the ways of using the partial search and heuristic methodical system in mathematics education are widely investigated.

Metacognitive Awareness as a Predictor of Mathematical Modeling Competency Among Preservice Elementary Teachers

<p style="margin-left:28px; text-align:justify">Mathematical modeling offers a promising approach to improving mathematics education. This study aims to determine if the concept of metacognitive awareness in the learning process is associated with mathematical modeling. This study also considers the interaction effect of sex and academic year level on both variables. Focusing the study on preservice elementary teachers might address potential issues and targeted intervention in their preparation program concerning their ability to teach and guide young learners in modeling activities. The research sample includes 140 preservice elementary teachers at Central Luzon State University, Philippines. Data collection used an adapted metacognitive awareness inventory and a validated researcher-made mathematical modeling competency test aligned with the K-12 mathematics curriculum in the Philippines. Results revealed that the preservice elementary teachers had a high metacognitive awareness and mathematical modeling competency, ranging from 22 to 31 out of 36 points. Besides, Factorial ANOVA indicates that academic year level positively affects both variables regardless of sex, and stepwise regression analysis unveiled that information management, declarative knowledge, and planning significantly predict 41.4% of the mathematical modeling competency variance. This suggests that developing metacognitive awareness supports preservice elementary teachers in performing modeling tasks that improve their competency level in mathematics.</p>

Effectiveness of 5E Instructional Model on Learning Achievement in Mathematics at Secondary Level.

This study investigated the effectiveness of the 5E instructional model on learning achievement in Mathematics compared with traditional teaching methods at the secondary level, using a non-equivalent control group design of a quasi-experimental method. The experimental group (n = 40) received instruction using the 5E instructional model, while the control group(n=40) was taught through traditional method. Pre-achievement and post achievement test were prepared and used to measure the learning achievement in Mathematics. The t-test was applied to compare the learning achievement of both the groups. The result indicates that the students of experimental group taught through 5E instructional model performed better than the control group. The results also indicate no significant difference in learning achievement between the groups during the pre-test. The findings suggest that the 5E instructional model enhances students' learning achievement and concept clarity in Mathematics. These results signify the effectiveness of incorporating the 5E instructional model to improve Mathematics education outcomes.

OTHER METHODS OF TEACHING PROBABILITY THEORY AND COMBINATORICS

The traditional methods of teaching probability theory and combinatorics often fail to engage students and promote deep understanding. This study explores alternative teaching strategies that incorporate active learning, technology, and real-world applications to enhance student comprehension and interest in these mathematical fields. By comparing the effectiveness of these methods with conventional approaches, this research aims to provide educators with practical insights for improving mathematics education.

Elementary teachers’ use of adaptive diagnostic assessment to improve mathematics teaching and learning: A case study

This case study examined teachers’ perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary-level mathematics. The purpose was to understand how the teaching and learning of mathematics occurred in the classroom and changes that transpired due to the implementation of diagnostic assessments. Findings illustrate that diagnostic assessment can be a critical tool for improving pedagogical practice by enhancing mathematics teaching and learning by creating groups of students, planning lesson time, focused pedagogy, giving student feedback, communicating with stakeholders, and improving teacher efficiency. Participants demonstrated satisfaction with the benefits offered by diagnostic assessment for improving mathematics teaching and learning. Participants described challenges that hindered their effective use of diagnostic assessment tools. The findings of this study support a case for the adoption of diagnostic assessments to improve pedagogical practice and promote mathematics learning among elementary-level students.

Effect of learning interest on students' mathematical critical thinking ability in vocational high school

This research investigates the impact of students' interest in learning critical mathematical thinking skills in the context of vocational high schools (SMK) by using a quantitative approach with correlational research methods. This research involved all class XI students of Ma'arif Al-Ghozali Vocational School as the population. Purposive sampling was used to select a sample of 30 students. Data analysis includes various statistical tests, including normality, linearity, correlation, and simple regression tests. The findings of this study reveal an essential relationship between students' learning interests and their mathematical critical thinking abilities. In particular, there is a significant favorable influence between interest in learning and students' critical mathematical thinking abilities. These results underscore the importance of nurturing and improving their mathematical critical thinking skills. This study contributes to our understanding of the factors influencing mathematical critical thinking skills in vocational high school students. It offers valuable insights for educators and policymakers seeking to improve mathematics education in such settings.

Research on Blended Learning in Middle School Mathematics Classes

Blended learning is gaining importance in the field of education as a result of the quick advancement of science and technology. There is a rising understanding of the necessity of integrating technology and digital resources into traditional classroom settings as educational systems continue to evolve. Combining in-person instruction with online learning activities is known as blended learning which offers a promising approach to enhance student engagement and improve learning outcomes in mathematics education. The objective of this research is to explore the impact of blended learning on middle school mathematics education, further understand its significance in improving student learning outcomes and interest, reveal the current status of blended learning in middle school mathematics classes, and provide some suggestions. The research finds that students will face the challenge of self-regulation in blended learning, students' personalized learning should be paid attention to, students' affective factors are also important, and students' negative learning attitude will lead to lower scores. In addition, the individual guidance from teachers is insufficient and the effective evaluation needs to be improved. Some teachers are even intimidated by new technology, which leads to the reduction of their teaching innovation. To overcome these challenges, student engagement should be increased, teacher planning should be optimized and a support system should be built. Through the research on blended learning, hopefully, this paper can provide support for improving mathematics education.

Pedagogy of Mathematics

This paper delves into the realm of mathematics pedagogy, exploring various facets of teaching and learning mathematics. Through the analysis of the modified Fennema-Sherman Attitude Scales and an in-depth examination of best practices, this paper aims to shed light on the attitudes of students toward mathematics and provide recommendations for improving mathematics education. The paper emphasizes the importance of cultivating a growth mindset, promoting diversity and inclusion, and incorporating active learning strategies in mathematics instruction. It highlights the significance of continuous professional development for educators and support systems for students facing challenges in mathematics. As we conclude this internship, it is clear that mathematics education is not static but a dynamic field that demands collaboration and a commitment to excellence. This paper serves as a compass for future endeavors, guiding the way toward a mathematics pedagogy that empowers learners and transforms perceptions of mathematics.

Professional Ability System and Effective Strategies in Enhancing Teaching Competence Among Mathematics Student Teachers

This study compares mathematics student-teachers' professional ability system and instructional practices. Content, pedagogical, technical, classroom management, and reflective practice were examined as part of their professional ability system. Modeling, guided practice, co-teaching, differentiation, technology integration, formative assessment, and collaborative learning were also assessed. The study also examined if student-teachers' professional ability system affects their math teaching practices. Content knowledge and effective teaching practices, especially modeling and guided practice, are strongly correlated. Teaching tactics and pedagogical knowledge are strongly correlated, underscoring their value in guided practice and collaborative learning. Although technological skill has a moderate association, it is essential for using digital tools in mathematics instruction. Collaboration in teaching is highly linked to classroom management skills. Modeling, guided practice, and formative assessment are strongly correlated with pedagogical content knowledge. Reflective practice is linked to all teaching styles, demonstrating its importance in improving mathematics education and permitting varied teaching methods. Modeling is linked to content, pedagogical, and reflective practice in teaching methodologies. Guided practice correlates well with content, pedagogical, and reflective practice. Classroom management and pedagogical content knowledge are closely related to co-teaching. Differentiation tactics strongly correlate with reflective practice and technical competency. Classroom management and reflective practice are strongly correlated with technology integration. The association between formative evaluation and reflective practice and differentiation is substantial. Reflective practice and differentiation are strongly linked in collaborative learning environments. For effective mathematics instruction, a full professional ability system must include topic knowledge, pedagogical understanding, technical competence, classroom management skills, and reflective practice. These components enable varied teaching methodologies, improving mathematical education. These components together shape effective mathematics instruction, as shown by the substantial correlations.

TPACK Correlates Mathematics Teachers’ Performance in Selected Private Higher Education Institutions (PHEIS)

Technological pedagogical content knowledge (TPACK) is a framework that views teachers' knowledge necessary for curriculum design and instruction focused on preparing their students for thinking and learning mathematics with digital technologies. TPACK is essential for Mathematics teachers as it enables them to effectively integrate technology into their teaching practices. This study investigated the correlation between Mathematics teachers' TPACK competencies and their teaching performance in selected higher education institutions (HEIs). This study utilized a descriptive-correlational design with 120 randomly selected participants. The data collected were analyzed using Linear Regression analysis to determine the relationship between TPACK competencies and teaching performance. The findings revealed that teachers' TPACK competencies are significantly related to their performance in teaching Mathematics. The study's findings have significant implications for Mathematics education and teacher training programs. Mathematics teachers must develop their TPACK competencies to effectively integrate technology into their teaching practices. Teacher training programs should focus on developing Mathematics teachers' TPACK competencies to improve Mathematics teaching. The study's methodology can be replicated in other contexts to investigate the relationship between TPACK competencies and teaching performance in Mathematics education. Keywords: TPACK, mathematics, instruction, teaching performance, PHEIs

Integrated knowledge of rational number notations predicts children’s math achievement and understanding of numerical magnitudes

We propose that integrated number sense, the ability to fluidly translate and compare magnitudes within and across notations, is central to understanding of rational numbers. Consistent with this hypothesis, two studies of 6th through 8th grade students (N = 264 and N = 46) indicated that accuracy comparing magnitudes within and across notations predicted overall math achievement and fraction number line and arithmetic estimation accuracy. Cross-notation magnitude comparison accuracy (i.e., fraction vs. decimal, percentage vs. fraction, and percentage vs. decimal) accounted for variance in math outcomes beyond that explained by magnitude representations within individual notations. The findings also revealed a percentages-are-larger bias, in which percentages are perceived as larger than equivalent fractions and decimals in cross-notation comparisons. There were no differences by grade level, suggesting that such number sense does not necessarily develop with age. Explicitly promoting integrated number sense may help improve mathematics instruction.

Technology integration in geometry teaching and learning

Technology advancement provides an opportunity for helping both teachers and students to solve and improve mathematics teaching and learning performances. This systematic review aims to add to the discussion through a comprehensive overview of the integration of digital technologies into the teaching and learning of geometry at the secondary school level. A systematic literature review was conducted following the preferred reporting items for systematic reviews and meta-analyses (PRISMA) guidelines, with a focus on publication trends, types of technologies used, types of contributions, learning domains and research methods. Twenty-nine articles published between 2010 and 2022 were searched from the ERIC database. The findings showed that the majority of the articles were published in 2015 and the technologies that were used were GeoGebra, augmented reality, computer animation package, video-based cooperative, graphing calculator, micromedia flash, Powtoon animation, learning management system, interactive whiteboard, digital simulations-applets, iPads and tablet. Most of the reviewed articles focused on the effectiveness of the technologies in geometry teaching and learning. The findings indicated that the majority of the reviewed articles used quantitative research methods followed by qualitative methods studies. It is suggested that other studies be conducted with other databases and focus on challenges of integrating technology into the teaching and learning of geometry.

Ethnomathematical studies on the Gedong Songo temple

The lack of information about designing buildings, measuring, patterning and calculating from ancient people, makes the concept of mathematics applied by people in the past remains unknown. It is necessary to study mathematics from a cultural point of view of society. This study is carried out through a cultural approach, or what is commonly referred to as ethnomathematics. Mathematics that is used by recognized cultural groups, such as national communities, ethnic groups, labor organizations, children of particular age groups, and professional classes, is known as ethnomathematics. Finding the mathematical principles used to construct the Gedong Songo Temple in Candi Village, Bandungan, Semarang Regency, Central Java, is the goal of this study. The object of research in this case is the Gedong Songo Temple. The approach taken is a qualitative one. In this study, an ethnographic technique was used. Data collection is done by literature study and observation. This research is structured descriptively, starting from reviewing problems related to ethnomathematics, formulating problems, collecting theories, analyzing, discussing data, and making conclusions. The findings demonstrated that geometry, symmetry, periodic patterns, and ratios are among the mathematical concepts used in the construction of the Gedong Songo Temple. The findings of this study can be used to improve mathematics instruction in cultural contexts. In addition, further studies on ethnomathematics can be carried out to see more comprehensively the mathematical concepts applied to the structure of the temple building.

Analisis Hasil Belajar Matematika dalam Pembelajaran Bangun Datar pada Kelas 5 di SDN Cibodas 6 Kota Tangerang

This study aims to analyze the mathematics learning outcomes of grade 5 students at SDN Cibodas 6 in learning flat shapes. Data on mathematics learning outcomes were obtained through written tests that included flat shape concepts such as squares, rectangles, triangles, and circles. Class observations were also carried out to see student activity during the flat shape learning. The results of the student data analysis showed that most of them had a good understanding of the concept of plane shapes and were able to identify and draw shapes correctly. However, a number of students experienced difficulties in calculating the area and perimeter of flat shapes. Factors that influence the results of learning mathematics in learning flat shapes include teaching methods used by teachers, student motivation, and parental support and participation in learning. The teacher has an important role in building student understanding by providing clear explanations, adequate exercises, and periodic reinforcement of concepts. The recommendation of this study is for teachers to use interactive teaching methods and involve students actively in learning flat shapes. More intensive training needs to be given to improve students' ability to calculate the area and perimeter of data shapes. Parents' support and participation should also be increased through open communication between schools and parents. This study provides a deeper understanding of the results of learning mathematics for grade 5 students in learning flat shapes. This information can be used by teachers and schools to evaluate and improve mathematics teaching and improve student learning outcomes in the future.

GeoGebra as a Tool for Improving Mathematics Instruction and Learning by Ghanaian Teachers

This study is mainly about using GeoGebra as a tool for improving mathematics instruction and learning by Ghanaian teachers. The quantitative method was employed for the study and the descriptive statistics of the study were the mean, standard deviation, percentages, and frequencies were used. Two-way analysis of variance (ANOVA) was used in answering the Hypothesis test. The sample size for the study comprised 10 junior high schools and 13 primary schools. A total of 74 samples made of mathematics teachers were used of which 40 were junior high teachers and 34 were primary school teachers. A questionnaire with 10 questions/items with 4 options or 4 Likert scales for each was used in measuring the use of GeoGebra as a tool to improve mathematics instructions or learning by Ghanaian teachers (primary teachers and junior high school teachers). The study indicated that teachers believe that GeoGebra could effectively improve mathematics instruction and learning in the classroom. It also showed that teachers are ready to learn and adopt the use of technology (ICT) in their lesson delivery.

Evaluating the Effectiveness of Professional Development Programs for Junior High School Mathematics Teachers in Improving Mathematics Instruction in the K to 12 Curriculum in the Philippines

This study assessed the effectiveness of a professional development program for junior high school mathematics teachers in the Philippines and analyzed their achievement test results in Mathematics. The study aimed to identify the factors affecting the quality of mathematics instruction and propose solutions to these challenges. The study found that while most teachers were consistent in their lesson planning and content delivery, they need to improve their questioning techniques, differentiated techniques, and strategies to develop higher-order thinking skills. The study suggests that teachers need to enhance their teaching practices to achieve the K to 12 Curriculum goals, prepare students for better work opportunities, and contribute to the nation's economy. Professional development programs can provide opportunities for mathematics teachers to increase their knowledge and confidence in the subject. By improving their teaching practices, teachers can help enhance the quality of mathematics education in the Philippines. This study highlights the challenges mathematics teachers face in the country and the need for professional development programs to help them improve their teaching practices. The findings have important implications for mathematics education in the country, which can help raise the quality of education and the nation's economy.

Towards Characterization of Scale and Scaling in Implementation Research within Mathematics Education

Abstract Scale and scaling are central concepts in projects aimed at implementing innovations for improving mathematics education. This study aims to provide conceptual clarity on the notions of scale and scaling in mathematics education research. The meanings of these terms are handled tacitly, and there is diversity in how they are used in the literature. To address this, we gathered opinions from experienced researchers in the area of the large-scale implementation of educational innovations, and we also conducted a literature review of articles explicitly addressing aspects of scale and scaling in mathematics education. We analyzed the content of these sources using Coburn’s (2003) conceptualization of scale. Our findings provide insight into how experts define and understand the concepts of small scale, large scale, at scale and scaling, and how these concepts relate to the four dimensions of scale proposed by Coburn. This study contributes to developing a more precise and nuanced understanding of scale and scaling in mathematics education research by offering an operational distinction between small-scale, large-scale, and medium-scale project implementation. This distinction is based on three key factors: the contact factor, the material factor, and the organizational factor. The impact sheet to this article can be accessed at 10.6084/m9.figshare.22339609.

Comprehensive mathematics education development research for the development of basic computational skills in developing countries

Mathematics and particularly computational thinking skills are important. Effective mathematics education is key to this, which is why it's important to ensure that skills are being effectively taught to and learned by children in school. Few studies clarify the state of children's mathematical abilities in developing countries and Dr Koji Watanabe, Miyazaki International College, Japan, wants to improve the situation. To do this, he will first establish a clear understanding of the current situation surrounding mathematics material in developing countries and then move onto creating educational materials, including effective teaching materials, implementing educational practices and evaluating their effects. Ultimately, this will help inform mathematics education policies and improve mathematics education. A recognition of the importance of quantity is at the heart of the teaching materials and educational practices that Watanabe is developing as he believes that academic achievement can be improved through a focus on numbers alongside a focus on quantity. To measure childrens' academic achievement and understanding, Watanabe and the team are employing quantitative and qualitative methods, interviews and analysis. This includes the creation of tests using test theory, interviews and analysis of the mathematics education curricula and textbooks to improve validity.

Improvement of Mathematical Teaching Through the Development of Virtual CAD Models and Physical Prototypes for Real Visualization Using 3D Printing

This article explores a possibility to improve mathematical teaching by using 3D printing technology. The question is whether it is possible to use low cost additive manufacturing technology to develop and manufacture real physical prototypes of complex mathematical surfaces and volumes and on that way improve mathematics education. Five mathematical problems were chosen as case studies. Visualization of this problems was done using professor hand drawing, using computer visualization and using development and manufacturing of real physical prototypes. To find out how much better is understanding of these problems, survey with 57 students is carried out. Results showed significant improvements of understanding and better visualization of selected mathematical problems.

Integrate Technology into Secondary Mathematics Flipped Classroom

Innovative strategies have the potential to change the framework of mathematics education and learning. Therefore, it is essential to encourage educators to be receptive to new techniques and engage in novel activities. The flipped classroom is a novel and growing mode of instruction. This method of teaching has the potential to significantly improve mathematics education. This article examines strategies that include mathematics and technology in flipped classrooms as well as the roles teachers and students play in flipped classrooms from both the teachers' and students' perspectives. The study also shows some problems with putting technology into a flipped secondary math classroom, such as technical issues and teachers being too busy, and suggests ways to deal with these problems.