Our era is characterized by information overload. Low skills are a demand in the world of work, such as salespeople in brick-and-mortar stores, customer reception, fast-food restaurant clerks, call center operators, order dispatchers, order packers, etc. The required educational background shrinks to the requirement for adaptability and few “basic skills”: text comprehension, basic communication in one or two foreign languages, some math, science and technology concepts, a good dose of familiarity with digital as well as interpersonal and social skills (OECD, 2001). Assessment in secondary education has not remained unaffected; the holistic nature, originality, and innovation are incompatible with everyday teaching practice. With the scientific tools of statistics and neural networks, the divergence between formal assessment and diagnostic and feedback assessment has been quantified. Finally, the evolution of behavioral learning at a public high school level during the academic year 2021-2022 has been studied.

The purpose of this work is to define the Laplace transform and the Laplace inverse transformation, to describe their basic properties and to calculate the corresponding transforms of selected functions. To achieve these, the concept of the real function image is first defined, and in particular the conversion of the complex variable function. The examples used are initially pure mathematics, followed by reference to the practical application of these two transformations since they relate to the conversion of a continuous time signal into a complex variable function.

The inverse Laplace transform enables the solution of ordinary linear differential equations as well as systems of ordinary linear differentials with applications in the physical and engineering sciences. The Laplace transform is essentially an integral transform which is introduced with the help of a suitable generalized integral. The ultimate goal of this work is to introduce the reader to some of the basic ideas and applications for solving initially ordinary differential equations and then systems of ordinary linear differential equations.

This article discusses the importance of open-ended problems in mathematics education. The traditional approach to teaching mathematics focuses on the repetitive practice of well-defined problems with a clear solution, leaving little room for students to develop critical thinking and problem-solving skills. Open-ended problems, on the other hand, open-ended problems require students to apply their knowledge creatively and flexibly, often with multiple solutions. We herein present a case study of a high school mathematics class that incorporated open-ended problems into its curriculum. The students were given challenging problems requiring them to think beyond what they had learned in class and develop their problem-solving methods. The study results showed that students exposed to open-ended problems significantly improved their problem-solving abilities and ability to communicate and collaborate with their peers. The article also highlights the benefits of open-ended problems in preparing students for real-world situations. By encouraging students to develop their problem-solving strategies, they are better equipped to face the unpredictable challenges of the future. Additionally, open-ended problems promote a growth mindset and a love for learning, as students are encouraged to take risks and explore new ideas. Overall, the article argues that incorporating open-ended problems into mathematics education is a necessary step towards developing students’ critical thinking skills and preparing them for success in the real world.

The Problem: The classic traditional digital documentation (i.e. study, design, development, and maintenance of forests, parks, and monument landscapes) shows significant problems of functionality, adaptability, sustainability, velocity, and viability. Target & Research Objectives: In the framework of forests, parks, and monument landscapes, the massive volumes of Big Data (greater variety, arriving in increasing volumes, and with more velocity) can be used to address documentation problems that wouldn’t have been able to tackle before. Smart forest, as an Internet- enabled “product”, requires Big Data because it operates in real-time and requires real-time evaluation and action. Also, the recent research and practice advances in Blockchain data structures and Distributed Ledger Technologies (DLT) support generic structures with many services (e.g. parametric functionality). Hence, a DLT smart digital documentation can address the documentation problems. The research objectives, for digital documentation with blockchain functionality (DLT smart documentation), are defined by grouping in user-friendly palettes generic 3D CAD modeling tools which could be parameterized (e.g. trees modeling) in order to support adaptability; and by designing a new flexible and customized GUI (Graphical User Interface). Methods: The proposed methodology is based on parameterized 3D modeling of trees usually found in forests and urban parks (width and height parameters). Also, a personalized GUI operates as an interface between the end-user and the parameterized CAD (GUI palettes with many 3D modeling tools). Hence, in this paper, a parameterized 3D design is examined, analyzed, and presented in the context of digital documentation with internet of trees functionality for smart forests, urban parks, monument landscapes, and cultural heritage. Results: From the research conducted the results are: (i) a personalized, innovative, and flexible graphical interface (GUI) that could be incorporated in any commercial CAD environment; (ii) many parameterized 3D design tools specialized in the development of forms, plans, and modules (e.g., parametric tree 3D models) of objects and entities found in forests, urban parks, and monument landscapes; and (iii) the introduced internet of trees operativity (software routine), ideal for smart forests, smart monument landscapes, and landscape architecture digital documentation applications with blockchain functionality. Application: Possibility to support foresters, engineers, and landscape architects in development studies and documentation of peri-urban forests, recreational parks, pocket parks, monument landscapes, and cultural heritage projects. Increased integration functionality in blockchain knowledge databases.