On Implicit Means of Algorithmic Problem Solving

2019 ◽  
Vol 13 ◽  
pp. 31-39
Author(s):  
David GINAT
Keyword(s):  
Problem Solving ◽  
Data Structures ◽  
Algorithm Design ◽  
Efficient Solutions ◽  
Algorithmic Problem ◽  
Creative Solutions ◽  
Relevant Role ◽  
Generic Algorithms ◽  
Design Techniques

Students of challenging algorithmics learn and utilize a variety of problem solving tools. The primary tools are data structures, generic algorithms, and algorithm design techniques. However, for solving challenging problems, one needs more than that. Many creative solutions involve implicit notions, whose creative employments yield elegant, concise, and efficient solutions. We elaborate on such notions and advocate their relevance as valuable means in one’s problem solving toolbox. We display our experience with students who lacked awareness of these notions, and illustrate the relevant role of three such notions – the notions of “candidate”, “complement”, and “invariance”.

Algorithmic Puzzles

2011 ◽  
Author(s):  
Anany Levitin ◽  
Maria Levitin
Keyword(s):  
Problem Solving ◽  
Computer Science ◽  
Algorithm Design ◽  
Divide And Conquer ◽  
Algorithmic Problem ◽  
Design Strategies ◽  
Job Interviews ◽  
Skill Levels ◽  
Problem Solving Skills ◽  
Solution Methods

While many think of algorithms as specific to computer science, at its core algorithmic thinking is defined by the use of analytical logic to solve problems. This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as well as newer examples from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures. The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies--exhaustive search, backtracking, and divide-and-conquer, among others--will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary on the puzzle's origins and solution methods. The only book of its kind, Algorithmic Puzzles houses puzzles for all skill levels. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking through more difficult puzzles.

Drama in Education Reaching Beyond the “Art Form or Teaching Tool” Dichotomy

2018 ◽  
Vol 5 (3) ◽  
pp. 70-77
Author(s):  
Irina Lešnik
Keyword(s):  
Elementary Education ◽  
Social Issues ◽  
Drama In Education ◽  
History Curriculum ◽  
Art Form ◽  
Creative Solutions ◽  
Theatre Pedagogy ◽  
Emotional Level

Abstract In the following article we try to re-evaluate, the place drama occupies in contemporary elementary education. By limiting the role of drama to literature studies and theatre productions, we lose a greater potential Theatre Pedagogy has to offer to a much broader educational spectrum. The participatory practices of Theatre and Drama in Education (TiE, DiE) promote active learning, based on a most organic children’s activity - play. While students co-create the fictional world of drama, teacher's guidance is crucial in setting new challenges, encouraging students to find creative solutions and reflect on often-complex social issues. Because of its art component, drama challenges the participants on a cognitive as well as emotional level, becoming a truly transformational experience. As such, Drama in Education is especially useful when approaching sensitive and controversial topics. This thesis is presented on a case study observing Year 6 students at St’ Michael’s CE Academy in Birmingham, UK, using Drama in Education method as part of History curriculum.

Improving the questions we ask, with Psychology and Cognitive Conflict.

2018 ◽  
Author(s):  
Brett Buttliere
Keyword(s):  
Problem Solving ◽  
Scientific Method ◽  
Meaning Making ◽  
Cognitive Conflict ◽  
Empirical Literature ◽  
Present Evidence ◽  
Scientific Papers ◽  
Science In Society

Over the last decade, there have been many suggestions to improve how scientists answer their questions, but far fewer attempt to improve the questions scientists are asking in the first place. The goal of the paper is then to examine and summarize synthesize the evidence on how to ask the best questions possible. First is a brief review of the philosophical and empirical literature on how the best science is done, which implicitly but not explicitly mentions the role of psychology and especially cognitive conflict. Then we more closely focus on the psychology of the scientist, finding that they are humans, engaged in a meaning making process, and that cognitive conflict is a necessary input for any learning or change in the system. The scientific method is, of course, a specialized meaning making process. We present evidence for this central role of cognitive conflict in science by examining the most discussed scientific papers between 2013 and 2017, which are, in general, controversial and about big problems (e.g., whether vaccines cause autism, how often doctors kill us with their mistakes). Toward the end we discuss the role of science in society, suggesting science itself is an uncertainty reducing and problem solving enterprise. From this basis we encourage scientists to take riskier stances on bigger topics, for the good of themselves and society generally.

The Science of Wisdom in a Polarized World: Knowns and Unknowns

2020 ◽  
Author(s):  
Igor Grossmann ◽  
Nic M. Weststrate ◽  
Monika Ardelt ◽  
Justin Peter Brienza ◽  
Mengxi Dong ◽  
...  
Keyword(s):  
Individual Differences ◽  
Problem Solving ◽  
Best Practices ◽  
Cognitive Sciences ◽  
Methodological Challenges ◽  
The Common ◽  
Empirical Approaches ◽  
And Training ◽  
Contextual Differences

Interest in wisdom in the cognitive sciences, psychology, and education has been paralleled by conceptual confusions about its nature and assessment. To clarify these issues and promote consensus in the field, wisdom researchers met in Toronto in July of 2019, resolving disputes through discussion. Guided by a survey of scientists who study wisdom-related constructs, we established a common wisdom model, observing that empirical approaches to wisdom converge on the morally-grounded application of metacognition to reasoning and problem-solving. After outlining the function of relevant metacognitive and moral processes, we critically evaluate existing empirical approaches to measurement and offer recommendations for best practices. In the subsequent sections, we use the common wisdom model to selectively review evidence about the role of individual differences for development and manifestation of wisdom, approaches to wisdom development and training, as well as cultural, subcultural, and social-contextual differences. We conclude by discussing wisdom’s conceptual overlap with a host of other constructs and outline unresolved conceptual and methodological challenges.

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