Art Of Problem Solving Research Articles

Comparison of three large language models as middle school math tutoring assistants

Middle school math forms the basis for advanced mathematical courses leading up to the university level. Large language models (LLMs) have the potential to power next-generation educational technologies, acting as digital tutors to students. The main objective of this study was to determine whether LLMs like ChatGPT, Bard, and Llama 2 can serve as reliable middle school math tutoring assistants on three tutoring tasks: hint generation, comprehensive solution, and exercise creation. Our first hypothesis was that ChatGPT would perform better in completing all three tutoring tasks than Bard and Llama 2 due to its largest model size (175 billion parameters). Our second hypothesis was that Bard would perform better than Llama 2 in generating comprehensive correct solutions due to its relatively higher model size (137 billion parameters) than Llama 2 (70 billion parameters). We curated medium-difficulty, word-based middle school math problems on algebra, number theory, and counting/probability from The Art of Problem Solving and Khan Academy. A human tutor evaluated the LLMs' performance on each tutoring task. Contrary to our first hypothesis, results showed that ChatGPT didn't perform uniformly better than Bard and Llama 2 on all the tasks. ChatGPT outperformed both Bard and Llama 2 only in the comprehensive solution task. Bard didn't perform better than Llama 2 in the comprehensive solution task which does not support our second hypothesis. We conclude that middle school math teachers can use a combination of ChatGPT, Bard, and Llama 2 as assistants based on the specific tutoring task.

PMDECS approach of red bin analysis – the art of problem solving in manufacturing industry

Over the years, problem solving in manufacturing industries has become one of the key attributes and a differentiator in this competitive market. A notable fact, which has emerged from the literature of problem solving, is that most of the time it has been a reactive approach. If the approach has to be preventive then there must be automation or application approaches involving statistics. In developing countries where component manufacturers still struggle to implement an effective problem solving methodology, OEM's have relatively better awareness of problem solving but they are yet to have an effective problem-solving methodology, which can be cost effective, time saving and simultaneously have a preventive approach rather than a reactive approach. In this paper, authors have demonstrated PMDECS approach of red bin analysis, which reduces the issues and problems at source as a preventive approach. This is an alternative approach towards problem solving based on the Deming's PDCA cycle.

The art of problem solving and its translation into practice

The art of problem solving and its translation into practice

The Art of Problem solving (AOPS)

Yeah!!I touch the milestone of publishing 15 Research paper at the age of 15 . My research publications is now equivalent to my age!!So to celebrate this I am going to write a paper that will help every people to take the feel in math . Basically Teachers in the classroom can’t make feelings of math to the student .They always like to tell math is deferent than others . It is a bit harder . Math is not for everyone ,it is only for geniuses bla bla……. . This type of stupid telling often decreases the math potential of a student . I have seen many math genius es later fields medal winner was demotivated by listening this type of foolish talking . If you want to learn more about fields medal life at school , then read this authentic Blog : https://www.lesswrong.com/posts/MsTu3dqf7BnEupoW4/fields-medalists-on-school-mathematics

PMDECS approach of Red Bin Analysis the art of problem solving in manufacturing industry

PMDECS approach of Red Bin Analysis the art of problem solving in manufacturing industry

Library 5.0

The library as pioneer in the development of study competencies for individual student retention and support. 
 At KEA (Copenhagen School of Design and Technology), we have implemented a newly developed study competencies concept throughout our study programmes. The concept is designed and developed by the library staff and aims to support the individual student during the full length of his/her course of study. Our focus is on student centered learning (SCL), retention, completion and matching the complex requirements of the work place of tomorrow. 
 In order to actively support the transformation from pupil to student, we have developed and implemented the concept “Study competencies – study-supporting activities”. Thus, enabling our students to complete their studies, whilst contributing to academically stronger graduates. 
 Specifically, we are providing our students with tools and techniques to manage large amounts of information, understand academic language, structure their time, increase reading speed, apply new knowledge/trends and master the art of problem solving. In short, all essential study techniques and knowledge competencies whilst studying, but also in order to strengthen the students’ transition to a future workplace environment. 
 The subjects are divided into modules. Each module includes learning objectives, teaching descriptions, videos, assignments and quizzes. All modules and tools are digitally accessible anytime anywhere for both faculty and students. As part of the concept, we have also developed an app – 5 korte (5 short) with five short touchdowns on source criticism, note taking, study reading, time management and research. 
 The concept is scalable, integrated in the curriculum and follows a progression that supports the student throughout the course of study. We have based our method on co-creation and iterative processes involving faculty and students throughout the entire development process.

The art of problem solving in organic chemistry

This long-awaited new edition helps students understand and solve the complex problems that organic chemists regularly face, using a step-by-step method and approachable text. With solved and worked-through problems, the author orients discussion of each through the application of various problem-solving techniques. Teaches organic chemists structured and logical techniques to solve reaction problems and uses a unique, systematic approach. Stresses the logic and strategy of mechanistic problem solving -- a key piece of success for organic chemistry, beyond just specific reactions and facts Has a conversational tone and acts as a readable and approachable workbook allowing reader involvement instead of simply straightforward text Uses 60 solved and worked-through problems and reaction schemes for students to practice with, along with updated organic reactions and illustrated examples Includes website with supplementary material for chapters and problems: http://tapsoc.yolasite.com

Problem-solving and incompetence traps in service operations course

Problem-based learning through team projects and case analyses is as much an art as it is a science for business students. As novices, students frequently lack critical-thinking and problem-solving skills and consequently fall into incompetence traps that arise due to defective seeing (tunnel vision vs. blurred vision) and defective thinking (loose vs. oblivious thinking), resulting in fallacies of singularity, multiplicity, constraint neglect and context neglect. We argue that instructors, as experts, should help novice students escape from incompetence traps in a way adjusted to specific knowledge domains. We approach incompetence traps in areas of service operations as triggers of particular operational challenges and propose strategies that will help instructors teach students the art of problem solving and enhance their critical-thinking skills in business education.

Book Review: Math-terpieces: The Art of Problem-Solving

Book Review: Math-terpieces: The Art of Problem-Solving

What is Network Governance and its Implications for Public Policy Formulation?

Governance has become a major ideology on the international and regional scene and is now gaining more and more prominence and popularity amongst public and private sector institutions in terms of a better approach towards achieving the core objectives and goals that their institutions had been set up to achieve whether profit or policy driven.Fiji has also experienced the wave of “good governance” enthusiasts and the catch words of transparency and accountability have become the harbingers of open and active government that is endeavoring to rid itself of corruption, nepotism, conflict of interest and poor service and delivery of public goods.Governance has been aptly described as the art of problem solving. In terms of public sector this takes place within a context that is governed by policy, legislation, organizational design, organizational culture and the external environment shaped by economic, social, political and cultural considerations. Given the myriad of policy inefficiencies currently being faced by the Fiji Government, governance principles could offer a solution or a mechanism by which policy formulation and implementation can be better implemented for the people.Theories of Governance encompass a broad conceptual framework that continues to evolve with time. Some of the main theories are, Traditional Governance, Multi-level Governance, Digital Governance, Accountability, Leadership, Governance for Human Development, Governance and Dispute Resolution and Network Governance. The underlying beauty with the study of governance is that it can be applied to any field or discipline.1. This paper will specifically look at Network Governance and its applicability to policy development within the public sector of Fiji. The paper will discuss the traditional model of government and the impact of “New Public Management” and its contribution to the concept of Network Governance. 2. I will then define Network Governance and discuss the underlying theoretical concepts; it will cover the advantages and disadvantages of Network Governance; then it will look at network participation; leadership of networks; funding and resolution of disputes; accountability and transparency within networks and whether networks can be democratic in nature. 3. I will then discuss what the modes of network governance and its practical application in Fiji particularly in the security sector.

Problem solving: a personal perspective from Brazil

In this paper, I do a historical review of the concept of Problem Solving, and make some considerations about the State of the Art nowadays. A very brief notice of the art of Problem Solving in Latin America is also presented. Finally, I present some reflections on the future of the Art of Problem Solving.

Books: Turning Numbers into Knowledge: Mastering the Art of Problem Solving, by Jonathan G. Koomey

Books: Turning Numbers into Knowledge: Mastering the Art of Problem Solving, by Jonathan G. Koomey

Turning Numbers into Knowledge: Mastering the Art of Problem Solving.

This article reviews the book Turning Numbers into Knowledge: Mastering the Art of Problem Solving by Jonathan G. Koomey.

Turning Numbers into Knowledge, Mastering the Art of Problem Solving

Turning Numbers into Knowledge, Mastering the Art of Problem Solving

Supporting Critical Thinking in Interactive Learning Environments

Summary The aim of this paper is to investigate the utilization of critical thinking in different applications and in different types of learning environments. The art of analytical reading includes the same skills as those involved in the art of problem solving and communicating. These skills are essential to the process of filtering, assimilating, and finding new meaning in the torrents of information faced daily. Described are a problem-solving environment and Web communication systems, with the suggestion that the Web tools have not yet come up to faculty expectations for teaching and learning.

Review of Taking Charge of ADHD: The Complete, Authoritative Guide for Parents.

Introduction: A Guiding Philosophy for Parents of Children with ADHD. Understanding ADHD. What is Attention-Deficit/Hyperactivity Disorder? What's Really Wrong with My Child?: Poor Self-control. What Causes ADHD? What to Expect: The Nature of the Disorder. The Family Context of a Child with ADHD. Taking Charge: How to be a Successful Executive Parent. Deciding to Have Your Child Evaluated for ADHD. Preparing for the Evaluation. Coping with the Diagnosis of ADHD. Fourteen Guiding Principles for Raising a Child with ADHD. Just for Parents: How to Take Care of Yourself. Managing Life with ADHD: How to Cope at Home and at School. Eight Steps to Better Behavior. Taking Charge at Home: The Art of Problem Solving. How to Help Your Child with Peer Problems. Getting through Adolescence, with Arthur L. Robin. Off to School on the Right Foot: Managing Your Child's Education at School and at Home: Methods of Success from Kindergarten through Grade 12. Keeping School Performance in Perspective. Medications for ADHD. The Stimulants. with George J. DuPaul and Daniel Connor. Other Medicine for ADHD. Support Services for Parents. Suggested Reading and Videotapes.

TEACHING THE ART OF PROBLEM SOLVING

ABSTRACT This article describes a course in problem solving which the author taught during a January “short term”. Undergraduates not majoring in mathematics or science often find it difficult to understand and engage in true mathematical thought. The problem solving course described here was unusually successful in bringing average students to mathematical thinking.

Process/Outcome Linkages: The Art of Problem Solving

Process/Outcome Linkages: The Art of Problem Solving

The art of problem solving in organic chemistry (Alonso, Miguel E.)

A review of a book intended to teach students how one goes about proposing mechanisms for complicated organic reactions. The book would be most useful in advanced chemistry courses.

Book review: Advances in Computer Chess 4. Edited by D.F. Beal (Pergamon Press 1986 )

This book contains the papers that were presented on the fourth conference on Advances in Computer Chess, held at Brunel University, London in April 1984. Together with the main tournaments, this tri-annual conference is the main event in the computer chess world. The 13 contributions cover a broad spectrum of topics in computer chess, and some are apprehendable with only elementary chess knowledge. Among these is an article by Kopec, Newborn and Yu, on the comparison of cognition of selected chess positions between humans and computers. More extreme positions, in which it is argued that real understanding (Intelligence) is needed instead of calculating deep variations, are given in 'Artificial Stupidity' by Hartson. The art of problem solving (including phenomena such as self-mates and help-mates) with results of the best programs in this discipline can be found in the article by Lindner. Chess Master David Levy reports his success in defeating the computer world champion Cray Blitz in a 4 game match which was held during the conference. Most interesting in this respect is his description of the special preparation he put to use. In general, his strategy is probably the best method to exploit a thusfar very basic weakness of computer programs. Hyatt et al. present some stunning results of their program, Cray Blitz, which runs on the fastest available computer. They discuss the use of hash tables, and the way in which multi-processing has been taken advantage of. Description and implementation, together with results of multi processing-techniques in two chess programs are described by Marsland et al. Berliner, author of Hitech, describes in his paper the application of special hardware (VLSI) in the design of an ultra-fast move generator that produces all pseudo-legal moves for a given position in one clock cycle (250 nanoseconds). He furthermore shows results of the B* tree-search algorithm, and describes another one of his programs: Patsoc. A new trend in computer chess cognition seems to be the notion of 'chunks': Groups of pieces that can be identified as one entity. Berliner describes this for pawns in the endgame, and Brakto et al. devote their entire paper to this subject. Chunking is thought to be important, because humans identify them as such which enables strong players to correctly reproduce a given position after only a short moment of examination. A strongly represented subject is the generation and induction of patterns and plans. Michie presents his 'Michie Road' in which rules are to be generated from examples provided by an expert. In some cases (special endgames) this expert can be a computer. Reidel's contribution describes the deduction of patterns in the King+Rook versus King endgame. Owsnicki and von Luck, both with a thesis on computer chess, discuss a method of plan construction with results from its application in a program called N.N. They illustrate three catagories of possible errors, each with its own cause and each with a different level of solvability. Shapiro and Michie describe a self-commenting facility whereby expert supplied text fragments attached to individual attributes are recognised to form run-time explanations of decisions made by rules previously induced. A theoretical paper is given by Schrueter. He analyses the apparent paradox that experience shows that a deeper tree-search yields better play, whereas mathematical investigation of the problem predicts less reliable results for deeper searches.