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"Egan, Kieran"
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The future of education
This ... book presents a frontal attack on current forms of schooling and a radical rethinking of the whole education process. [The author], a prize-winning scholar and innovative thinker, does not rail against teachers, administrators, or politicians for the failures of the school. Instead he argues that education today is built on a set of mutually exclusive goals that are destined to defeat our best efforts. The author explores the three big ideas and aims of education - academic, social, and developmental growth - and exposes their flaws and fundamental incompatibility. He then proposes and describes a process called Imaginative Education that would dramatically change teaching and curriculum while delivering the skills and understanding that we all want our children to acquire. His speculative narrative of education from 2010 to 2060 - executed with wit and verve - shows how we might very well get there from here. Unlike most books dealing with fundamental educational ideas, this one also details how its new proposal can be implemented in everyday classrooms. (DIPF/Orig.).
eBook
Quantum Circuit Synthesis Using Fuzzy-Logic-Assisted Genetic Algorithms
Quantum algorithms will likely play a key role in future high-performance-computing (HPC) environments. These algorithms are typically expressed as quantum circuits composed of arbitrary gates or as unitary matrices. Executing these on physical devices, however, requires translation to device-compatible circuits, in a process called quantum compilation or circuit synthesis, since these devices support a limited number of native gates. Moreover, these devices typically have specific qubit topologies, which constrain how and where gates can be applied. Consequently, logical qubits in input circuits and unitaries may need to be mapped to and routed between physical qubits. Furthermore, current Noisy Intermediate-Scale Quantum (NISQ) devices present additional constraints. They are vulnerable to errors during gate application and their short decoherence times lead to qubits rapidly succumbing to accumulated noise and possibly corrupting computations. Therefore, circuits synthesized for NISQ devices need to minimize gates and execution times. The problem of synthesizing device-compatible circuits, while optimizing for low gate count and short execution times, can be shown to be computationally intractable using analytical methods. Therefore, interest has grown towards heuristics-based synthesis techniques, which are able to produce approximations of the desired algorithm, while optimizing depth and gate-count. In this work, we investigate using genetic algorithms (GA)—a proven gradient-free optimization technique based on natural selection—for circuit synthesis. In particular, we formulate the quantum synthesis problem as a multi-objective optimization (MOO) problem, with the objectives of minimizing the approximation error, number of multi-qubit gates, and circuit depth. We also employ fuzzy logic for runtime parameter adaptation of GA to enhance search efficiency and solution quality in our proposed method.
Journal Article
Solving Multidimensional Partial Differential Equations Using Efficient Quantum Circuits
Quantum computing has the potential to solve certain compute-intensive problems faster than classical computing by leveraging the quantum mechanical properties of superposition and entanglement. This capability can be particularly useful for solving Partial Differential Equations (PDEs), which are challenging to solve even for High-Performance Computing (HPC) systems, especially for multidimensional PDEs. This led researchers to investigate the usage of Quantum-Centric High-Performance Computing (QC-HPC) to solve multidimensional PDEs for various applications. However, the current quantum computing-based PDE-solvers, especially those based on Variational Quantum Algorithms (VQAs) suffer from limitations, such as low accuracy, long execution times, and limited scalability. In this work, we propose an innovative algorithm to solve multidimensional PDEs with two variants. The first variant uses Finite Difference Method (FDM), Classical-to-Quantum (C2Q) encoding, and numerical instantiation, whereas the second variant utilizes FDM, C2Q encoding, and Column-by-Column Decomposition (CCD). We evaluated the proposed algorithm using the Poisson equation as a case study and validated it through experiments conducted on noise-free and noisy simulators, as well as hardware emulators and real quantum hardware from IBM. Our results show higher accuracy, improved scalability, and faster execution times in comparison to variational-based PDE-solvers, demonstrating the advantage of our approach for solving multidimensional PDEs.
Journal Article
The Educated Mind
The Educated Mind offers a bold and revitalizing new vision for today's uncertain educational system. Kieran Egan reconceives education, taking into account how we learn. He proposes the use of particular \"intellectual tools\"—such as language or literacy—that shape how we make sense of the world. These mediating tools generate successive kinds of understanding: somatic, mythic, romantic, philosophical, and ironic. Egan's account concludes with practical proposals for how teaching and curriculum can be changed to reflect the way children learn.
\"A carefully argued and readable book. . . . Egan proposes a radical change of approach for the whole process of education. . . . There is much in this book to interest and excite those who discuss, research or deliver education.\"—Ann Fullick, New Scientist
\"A compelling vision for today's uncertain educational system.\"—Library Journal
\"Almost anyone involved at any level or in any part of the education system will find this a fascinating book to read.\"—Dr. Richard Fox, British Journal of Educational Psychology
\"A fascinating and provocative study of cultural and linguistic history, and of how various kinds of understanding that can be distinguished in that history are recapitulated in the developing minds of children.\"—Jonty Driver, New York Times Book Review
eBook
Engaging imagination and developing creativity in education
Imagination is the source of creativity and invention. This volume of essays has been collected expressly to bring readers new ideas about imagination and creativity in education that will both stimulate discussion and debate, and also contribute practical ideas for how to infuse daily classrooms with imaginative activities. Researchers and educators around the world have taken up the discussion about the importance of imagination and creativity in education. This global relevance is represented here by writings from authors from Brazil, Canada, China, Denmark, Italy, Israel, Japan, and Romania. In the first part of the book, these authors explore and discuss theories of development, imagination, and creativity. In the second part, they extend these theories to broader social issues, including responsible citizenship, gender, and special needs education, and to new approaches to teaching curriculum subjects such as literacy, science, and mathematics, as well as to the educational environment of the museum. Since the first edition of this book, Imaginative Education (IE) has developed increasingly accessible strategies for teachers to routinely engage imagination in everyday practice. New essays for the second edition include discussions about increasing political consciousness, improving teacher education, and using mathematical evaluation in Part I, and phenomenological approaches to media education in Part II.
eBook
Engaging students’ imaginations in second language learning
Imagination is rarely acknowledged as one of the main workhorses of learning. Unfortunately, disregarding the imagination has some clearly negative pedagogical impacts: Learning is more ineffective than it should be and much schooling is more tedious than it need be. In this paper, we outline a somewhat new way of thinking about the process of students’ language education. We focus on the kinds of “cognitive tools” or learning “toolkits” human beings develop as they grow up, which connect emotion and imagination with knowledge in the learning process. We show how employing these tools—indeed, how their central employment in all aspects of planning—can make learning other languages engaging and meaningful.
Journal Article
