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The document is a preface to the 5th International Seminar of Innovation in Mathematics and Mathematics Education (5th ISIMMED) and the 7th International Seminar on Science Education (7th ISSE). The seminar, held virtually in November 2021, focuses on the theme of "Technological pedagogical content knowledge (TPACK) in the current trend of science technology engineering mathematics (STEM) Education." The seminar aims to provide practical solutions for teachers facing challenges in integrating technology into their classrooms, such as increasing student motivation and creating a visual and engaging learning atmosphere. The seminar has accepted 186 papers and 145 participants from Indonesia and the Philippines, with selected papers published by AIP Publisher. The preface expresses gratitude to keynote and invited speakers, as well as organizers, reviewers, authors, and committee members. [Extracted from the article]

Graph theory is a branch of mathematics which is quit rich and interesting. The study of domination is one of the fastest growing area in graph. There are different types of domination such as connected domination, independent domination, total domination, paired domination, secure domination , etc. "The secure dominating set S of a graph G is a dominating set with the property that each vertex u∈V\ S is adjacent to a vertex v∈S such that (S\ v) Uu is a dominating set. The minimum cardinality of such a set is called the secure domination number and denoted by γs(G)". In this paper we discuss about the secure domination for some special graphs. [ABSTRACT FROM AUTHOR]

A teacher, who is the provider of the proven educational knowledge, should be adequately competent in terms of expertise, trust, dedication, positive attitude, effective communication and patient listening. All these attributes can surely be inculcated in pupil teacher but only if the training is provided with maximum commitment, with specified objectives, taking into account the needs of todays' educational scenario and the needs of students. This paper emphasize on the system of training being provided to pre-service Mathematics' teachers, to develop their teaching skills. It includes the use of some creative teaching concepts to increase the interest, level of satisfaction and the outcome of their targeted Mathematics' students. Several studies, researches have shown that the students, who have been studying Mathematics since their childhood, are unable to perform simple calculations and are unable to solve simple numerical problem of their everyday life. This study will conclude with some suggestive facts that pre-service trainees should be trained in a way that other than the prescribed curriculum/syllabus, they should spend time to improve quantitative skills using some innovative techniques in regular class practice. As an example, the inventive methodology will also be discussed. And the second highlight will be the the emphasis on continual and rigorous assessment of the trainees during teaching practice, so that they can resolve the dearth and can go ahead with a handful of approaches to serve the purpose of fruitful teaching and learning. [ABSTRACT FROM AUTHOR]

This paper report was part of a bigger project that aimed to develop the ethno mathematics module using blended learning for students of mathematic educational program in IAIN Batusangkar. The research question of this article is do the researcher needs to developing ethnomathematics module using the blended learning model. The type of this research was descriptive with a quantitative approach. Research instruments were questionnaires and research participants were 46 students and 29 teachers who had been taught mathematics in high school. The data analysis technique used descriptive statistics. The results of the study were proven that needs to develop an ethnomathematics module using the blended learning model although there were different views in integration IT on mathematics education. [ABSTRACT FROM AUTHOR]

Isabelle/HOL is a generic proof assistant. Using an Isabelle/HOL requires insight into procedures as well as into the concepts involved. In addition, the way computer manages the procedures can affect mathematical concepts. We can clearly understand mathematical concepts and can minimize the burden of operation opportunities. "Foundations of Geometry" is a book of mathematics written by Hilbert in 1899. The book is famous as the most rigorous study of the axiom system of Euclidean geometry by axioms and formalism. The purpose of this paper is to complement the axiom system by theorizing a part of the problems in this book. [ABSTRACT FROM AUTHOR]

Mathematics can be used to introduce and explain events and occurrences that have a firmly rooted foundation of logic. This article is created to explain a simple mathematical trick related to cryptanalysis that has existed and allows us to improve upon it by modifying it with logic derived from computer coding and communications. Using error correction based on Hamming code, it is possible to obtain a value between 0-15 by answering yes or no questions about the provided cards. This paper will also explain how to add more cards to discover even a lie immediately and without error. [ABSTRACT FROM AUTHOR]

In the article "Struggling with physics and mathematics curricula based on the notion of function in the context of the educational reform in Poland" (AIP Conf. Proc. 2152; 2019) we analyzed the phenomenon of the lack of correlation between mathematics and physics teaching in the context of the concept of function. It is now taught the secondary school level of mathematics, but is also needed in the teaching of kinematics at the elementary school level of physics. In this paper, we present the chosen results of a pilot pedagogical remote-teaching experiment to provide a preliminary answer to several research questions on this issue: Does the attempt to integrate mathematics and physics have an impact on the understanding of functional relationships in a physics context? Specifically, does the introduction of a propaedeutic of the concept of function in mathematics lessons have an impact on the understanding and ability of analyzing motion? Similarly, do additional lessons on motion analysis affect the proficiency in representing, reading, and interpreting functional relationships? How do students process information about functional relationships in a physical context presented in a variety of representations? Is an elementary school student's intuitive understanding of the concept of functions enough to understand the analysis of motion in physics? What role do the remote experiments performed during the lesson play in learning new issues related to the concept of function in the context of motion analysis? [ABSTRACT FROM AUTHOR]

Mathematics as self-discipline is regarded to be one of the toughest subjects among students. To make this toughest to simplest, few things need to be cultivated inside you. Study habits are one of those things that have been found very useful in the academic success of a student. It is one key for a pupil to recognize and increase expertise in mathematics. These habits need to targeted and practiced at the early stages. There are higher probabilities that it would be a long-term asset for one. The current paper examined the impact of the study habits of school students on mathematics achievement. A sample of 200 students was chosen using random sampling from Government Senior Secondary Schools in Patiala District, Punjab. Questionnaires have been drawn to accumulate records of students' study habits. Students' outcomes in mathematics had been additionally been collected from their achievement in mathematics. Statistical tools has been used to analyze the data. It was concluded that students with good study habits exhibit higher mathematics achievement than students with low study habits. Besides, the authors also suggest how to develop good study habits among students. [ABSTRACT FROM AUTHOR]

For a complete extended b-metric space with continuous mapping satisfying the rational type contractive condition, a distinctive common fixed point theorem is established. Our outcome is the extension of several results available in the literature, from metric space to extended b-metric space. In specific, Dass and Gupta[Indian J. Pure Appl. Math. 6, 1455–1458 (1975)], Jaggi[Indian J. Pure Appl. Math. 8, 223–230 (1977)], Alqahtani et.al.[J. Inequal. Appl. Paper No. 220, 11 pp (2019)] and even the well-known Banach contraction mapping theory are extracted. A proper example is also given in sustenance of it. [ABSTRACT FROM AUTHOR]

The 6th International Conference on Mathematics and Mathematics Education (ICM2E 2022) was held in Padang, Indonesia on September 3rd-4th, 2022. The conference focused on the theme of "Innovative Research of Mathematics and Mathematics Education to Face the 4th Industrial Revolution Challenges." It provided a platform for researchers, educators, and students to exchange ideas and discuss advancements in the field. The conference proceedings, published by AIP Proceedings, contain high-quality papers selected through a blind review process. The organizers express gratitude to all participants, authors, reviewers, keynote speakers, and committees for their contributions to the success of the conference. They look forward to the next ICM2E and hope it will be as exciting as its predecessors. [Extracted from the article]