Dynamical Mathematical Software

2013 ◽  
pp. 70-88
Author(s):  
Samer Habre
Keyword(s):  
Learning Environment ◽  
Difference Equations ◽  
Mathematical Software ◽  
Mathematical Concepts ◽  
Visual Component ◽  
Innovative Methods ◽  
Modern Learning ◽  
Teaching Of Mathematics ◽  
User Friendly ◽  
The Way

Understanding mathematical concepts is many-folded. Traditional mathematics mostly emphasizes the algebraic/analytical aspect of a problem with minimal reference to its graphical aspect and/or numerical one. In a modern learning environment, however, multiple representations of concepts are proving to be essential for the teaching of mathematics. The availability of user-friendly dynamical software programs has paved the way for a radical yet smooth way for changing the way mathematical concepts are perceived. This chapter presents some of the author’s attempts for employing innovative methods in teaching topics in calculus, in differential and difference equations. The focus is on the use of dynamical programs that boost the visual component of the topics being investigated, hence contributing to a more complete understanding of these topics.

Area approximations by use of random numbers

1974 ◽  
Vol 21 (2) ◽  
pp. 106-109
Author(s):  
Harvey N. Hall
Keyword(s):  
Random Numbers ◽  
Mathematical Concepts ◽  
Individual Teacher ◽  
Teaching Of Mathematics ◽  
The Individual ◽  
The Way

Stimulating and meaningful procedures for developing mathematical concepts are always needed in the teaching of mathematics. The methods that are presented here will add considerably to the building of concepts related to area and randomness. Very little is required in the way of materials or special skills, and the procedures have the advantage of being open-ended enough to encourage adaptations by the individual teacher or student.

scholarly journals Compartmental Learning versus Joint Learning in Engineering Education

Mathematics ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 662
Author(s):  
María Jesús Santos ◽  
Alejandro Medina ◽  
José Miguel Mateos Roco ◽  
Araceli Queiruga-Dios
Keyword(s):  
Engineering Students ◽  
Chemical Engineering ◽  
Linear Equations ◽  
Mathematical Software ◽  
Mathematical Concepts ◽  
Joint Learning ◽  
The University ◽  
Academic Year ◽  
Non Linear Equations ◽  
Mathematics And Physics

Sophomore students from the Chemical Engineering undergraduate Degree at the University of Salamanca are involved in a Mathematics course during the third semester and in an Engineering Thermodynamics course during the fourth one. When they participate in the latter they are already familiar with mathematical software and mathematical concepts about numerical methods, including non-linear equations, interpolation or differential equations. We have focused this study on the way engineering students learn Mathematics and Engineering Thermodynamics. As students use to learn each matter separately and do not associate Mathematics and Physics, they separate each matter into different and independent compartments. We have proposed an experience to increase the interrelationship between different subjects, to promote transversal skills, and to make the subjects closer to real work. The satisfactory results of the experience are exposed in this work. Moreover, we have analyzed the results obtained in both courses during the academic year 2018–2019. We found that there is a relation between both courses and student’s final marks do not depend on the course.

scholarly journals The Legendrian knot complement problem

2018 ◽  
Vol 27 (14) ◽  
pp. 1850067 ◽  
Author(s):  
Marc Kegel
Keyword(s):  
Contact Structure ◽  
Legendrian Knot ◽  
Tight Contact ◽  
Legendrian Links ◽  
User Friendly ◽  
The Way

We prove that every Legendrian knot in the tight contact structure of the [Formula: see text]-sphere is determined by the contactomorphism type of its exterior. Moreover, by giving counterexamples we show this to be not true for Legendrian links in the tight [Formula: see text]-sphere. On the way a new user-friendly formula for computing the Thurston–Bennequin invariant of a Legendrian knot in a surgery diagram is given.

The Merging of Computers and Business Communication

1987 ◽  
Vol 15 (4) ◽  
pp. 383-389 ◽  
Author(s):  
Joan C. Roderick ◽  
Karen A. Forcht
Keyword(s):  
College Students ◽  
Organizational Communication ◽  
Teaching Strategies ◽  
Educational Experience ◽  
Business Communication ◽  
Computer Applications ◽  
Hard Copy ◽  
Hands On ◽  
User Friendly ◽  
The Way

Because of the availability of user-friendly software and the affordability of hardware, computers have become a common means of organizational communication. Users have had to change the way they process thoughts and ideas and to transfer them into hard-copy documentation. The integration of the computer into the business communication curriculum allows the instructor to provide a relevant and practical educational experience for college students. This article examines the importance of incorporating hands-on usage of a microcomputer in the business communication class and discusses computer applications and teaching strategies for text editing, punctuation review, and grammar assistance.

ELIV 2021

2021 ◽  
Keyword(s):  
Automotive Industry ◽  
Digital Ecosystems ◽  
Start Up ◽  
The Future ◽  
User Friendly ◽  
Full Swing ◽  
Level 2 ◽  
The Way

Foreword Start-up future It has felt like Covid-19 had a stranglehold on us. But we haven‘t allowed ourselves to be defeated. On the contrary, we are taking advantage of the opportunities that arise as a result. Not only the long-overdue push towards digitalization, for example, but also the time gained by making fewer journeys. Those who show strength now and position themselves for the future will win. And that is exactly the reason why we have been preparing ELIV 2021 with such a lot of enthusiasm. As usual, we have prepared an up-to-date program with the familiar mixture of technically demanding and strategic papers and are sure that the ELIV platform will once again be a trendsetter for the automotive industry. The CASE megatrends (Connected, Autonomous, Shared, Electric) continue to disrupt the industry. In the Connect environment, there is still a struggle for user-friendly services and competition amongst digital ecosystems is in full swing. The entry of powerful central computers into electronic architectures poses major challenges for all parties involved. On the way from Level 2 to Levels 3, 4 and 5 all manufacturers are cur...

scholarly journals Ground, Warmth, and Light: Facilitating Conditions for Reflection and Transformative Dialogue

2016 ◽  
Vol 2 (2) ◽  
pp. 169 ◽  
Author(s):  
Kaisu Mälkki ◽  
Larry Green
Keyword(s):  
Learning Environment ◽  
Transformative Learning ◽  
Learning Process ◽  
Facilitating Conditions ◽  
The Way

<p>In this paper we look into the conditions in which dialogue could be utilized to facilitate transformative learning and reflection. We explore the notion of a safe and accepting learning environment from the relational and phenomenological viewpoint, and analyze what it actually means and how it may be developed. We understand facilitating conditions as an inseparable aspect of the learning process similarly to the way a greenhouse supplies right conditions to facilitate the growth of the plant. Similarly as the ground, warmth and light play their essential roles in the growing of the plant, in our paper we offer conceptual tools to understand the dynamics of safe and accepting learning environment in facilitating the processes of reflection and transformative learning.</p>

scholarly journals Etnomatematika Pada Kebudayaan Suku Dayak Bentian Dalam Menumbuh Kembangkan Literasi Matematis

2021 ◽  
Vol 1 (1) ◽  
pp. 58-67
Author(s):  
Nurdin Arifin ◽  
Eudia Fortuna
Keyword(s):  
Learning Environment ◽  
Everyday Life ◽  
Evaluation Model ◽  
Mathematical Literacy ◽  
Mathematical Concepts ◽  
Learning Mathematics ◽  
The Government

Mathematical concepts are always useful in everyday life to solve problems at hand. Learning mathematics that is associated with the surrounding (contextual) circumstances, especially in the culture of an area, is expected to be able to improve the ability of students in learning. Learning mathematics which is associated with the culture of an area is called ethnomathematics. Moreover, the government is currently promoting literacy. Literacy in mathematics is called mathematical literacy/mathematical literacy is the knowledge to know and apply basic mathematics every day such as to communicate both orally and in writing, to reason, and to solve problems. This service is carried out through a zoom meeting application that is given to 6th semester students, as a preparation effort before students carry out the Introduction to Learning Environment (PLP) at school. This service method uses the ADDIE (Analyze, Design, Develop, Implementation, and Evaluation) model. In the results of this service, a discussion was held on the ethnomathematics of the Bentian Dayak tribe in relation to learning mathematics and participants were able to make mathematical literacy questions. In the end, participants will be able to apply ethnomathematics and mathematical literacy in learning

scholarly journals INTEGRASI TEKNOLOGI DIGITAL DALAM PEMBELAJARAN DI ERA INDUSTRI 4.0

2018 ◽  
Vol 16 (1) ◽  
pp. 42-54 ◽  
Author(s):  
Susilahudin Putrawangsa ◽  
Uswatun Hasanah
Keyword(s):  
Mathematics Education ◽  
Learning Environment ◽  
Conceptual Understanding ◽  
Basic Principle ◽  
Digital Technology ◽  
Technology In Education ◽  
Mathematical Concepts ◽  
Mathematical Skills ◽  
Alternative Learning ◽  
Development Of Students

The recent study intends to describe the roles and the principles of integrating digital technology in education at the 4th Industrial Era. The integrartion is studied from mathematics education perspective. It is concluded that the basic principle of integrating digital technology in mathematics education is that the technology does not diminish students’ conceptual understanding or replace students’ intuitions in doing mathematics. Conversely, the technology is utilized to boost students’ conceptual understanding and maximize the development of students’ intuition in doing mathematics. It is identified that there are three didactical functions of digital technology in mathematics education, such as: (1) Technology for doing mathematics,  that is the technology is incorporated as alternative learning media in doing mathematical activities; (2) Technology for practicing skills, that is the technology is utilized as a learning environment to master particular mathematical skills; (3) Technology for developing conceptual understanding, that is the technology is integrated as a learning environment to develop students’ conceptual understanding of specific mathematical concepts. This last didactical function is the most expected of integrating digital technology in mathematics education.

Semantic Web Adaptation

2011 ◽  
pp. 78-88
Author(s):  
Alexander Mikroyannidis ◽  
Babis Theodoulidis
Keyword(s):  
Semantic Web ◽  
Web Sites ◽  
Web Usage Mining ◽  
New Era ◽  
Automatic Reasoning ◽  
Web Usage ◽  
User Friendly ◽  
Unstructured Information ◽  
The Web ◽  
The Way

The rate of growth in the amount of information available in the World Wide Web has not been followed by similar advances in the way this information is organized and exploited. Web adaptation seeks to address this issue by transforming the topology of a Web site to help users in their browsing tasks. In this sense, Web usage mining techniques have been employed for years to study how the Web is used in order to make Web sites more user-friendly. The Semantic Web is an ambitious initiative aiming to transform the Web to a well-organized source of information. In particular, apart from the unstructured information of today’s Web, the Semantic Web will contain machine-processable metadata organized in ontologies. This will enhance the way we search the Web and can even allow for automatic reasoning on Web data with the use of software agents. Semantic Web adaptation brings traditional Web adaptation techniques into the new era of the Semantic Web. The idea is to enable the Semantic Web to be constantly aligned to the users’ preferences. In order to achieve this, Web usage mining and text mining methodologies are employed for the semi-automatic construction and evolution of Web ontologies. This usage-driven evolution of Web ontologies, in parallel with Web topologies evolution, can bring the Semantic Web closer to the users’ expectations.

Collaborative Solution Discovery: A Problem Solving Process

2019 ◽  
pp. 100-103
Author(s):  
Katharine Clemmer
Keyword(s):  
Problem Solving ◽  
Learning Environment ◽  
Real Time ◽  
School System ◽  
Mathematical Thinking ◽  
Self Regulation ◽  
Math Learning ◽  
New Approach ◽  
Problem Solving Process ◽  
The Way

Loyola Marymount University (LMU) has developed a new approach to problem solving, Collaborative Solution Discovery (CSD), to help practitioners in a school system leverage their individual passions in a way that grows students’ positive math identity through mathematical thinking, problem solving, and self-regulation. By focusing on how students and teachers interact with each other in real-time in an ideal classroom, practitioners take ownership of a process to guide their students in growing their positive math identity and thus taking ownership of their own math learning. Practitioners measure progress along the way through metrics that are created, defined, used, and continually refined by themselves to attain their ideal math learning environment. The entire CSD process results in a system that owns ist improvement efforts—improvement efforts that are flexible, adaptable, and sustainable.

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