OPEN ACCESS EURASIA Journal of Mathematics Science and Technology Education ISSN 1305-8223 (online) 1305-8215 (print) 2017 13(3):893-910 DOI 10.12973/eurasia.2017.00649a An Appropriate Prompts System Based on the Polya Method for Mathematical Problem-Solving Chien I Lee National University of Tainan, TAIWAN Received 24 December 2014 Revised 27 January 2015 Accepted 13 March 2015 ABSTRACT Current mathematics education emphasizes techniques, formulas, and procedures, neglecting the importance of understanding, presentation, and reasoning. This turns students into passive listeners that are well-practiced ...
International Education Studies; Vol. 7, No. 7; 2014 ISSN 1913-9020 E-ISSN 1913-9039 Published by Canadian Center of Science and Education The Implementation of the Polya Method in Solving Euclidean Geometry Problems 1 Akhsanul In’am 1 Mathematics Department, University of Muhammadiyah, Malang, Indonesia Correspondence: Akhsanul In’am, Mathematics Department Faculty of Teacher Training and Education University of Muhammadiyah Malang, Jl. Raya Tlogomas No. 246, Malang, Indonesia. E-mail: ahsanul_in@yahoo.com Received: April 1, 2014 Accepted: May 2, 2014 Online Published: June ...
Collaborative Problem Solving: Students Talk Their Way Into Problem-Solving Success Robyn Silbey, Math Coach and Author of ® and Glencoe Math McGraw-Hill My Math So, what is the problem with problem solving? e study mathematics because it helps us solve problems. Observation reveals that some students don’t spend time identifying the p W roblem, which makes it more challenging for them to create, execute, and analyze the effectiveness of a solution plan. In his landmark 1945 book, How to ...
504 MATHEMATICS Chapter 12 LINEAR PROGRAMMING The mathematical experience of the student is incomplete if he never had the opportunity to solve a problem invented by himself. – G. POLYA 12.1 Introduction In earlier classes, we have discussed systems of linear equations and their applications in day to day problems. In Class XI, we have studied linear inequalities and systems of linear inequalities in two variables and their solutions by graphical method. Many applications in mathematics involve systems of ...
MACHINEPROOFSINGEOMETRY Automated Production of Readable Proofs for Geometry Theorems Shang-Ching Chou Department of Computer Science TheWichita State University Xiao-Shan Gao Institute of Systems Science Academia Sinica, Beijing Jing-Zhong Zhang Chengdu Institute of Computer Application Academia Sinica, Chengdu WorldScientic 1994 ¨ To WuWen-Tsun v Foreword Polya named Descartes’ Rules for the Direction of the Mind his favorite book on how to think. In the Rules, Descartes speculates on the possible existence of a powerful, secret methodknowntotheancientsfor doing geometry: Butmyopinionisthatthesewritersthenwithasortoflowcunning,deplorable indeed ...
Section 1.3: Problem Solving Polya’s Four-Step Method Step One: Understand the problem. Step Two: Devise a plan. Step Three: Carry out the plan. Step Four: Look back and check. Step One: Understand the problem. Some examples: What are you trying to find? Do you understand all the terminology? What data is given? What limiting conditions must be worked around? Can you explain the question to someone else? Try to state the problem another way. Step Two: Devise a ...
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