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- W2404241340 abstract "Developing problem-solving approaches to teaching: Theory and Practice Four corner-stones in the cultivation of mathematical problem-solving Aoibhinn Ni Shuilleabhain Polya’s Plan George Polya’s book, How to solve it (1945), is likely to have been one of the first books to focus on building students’ skills as problem solvers. Polya, a Hungarian professor of mathematics, realised that it was not sufficient that his students knew their mathematical facts ― they also needed to have a relational understanding of the subject in order to use mathematics as a tool. While Polya’s book has provided much food for thought for mathematics educators at all levels throughout the decades, the legacy of his writing is in defining a heuristic or framework for students to solve problems: 1. Understanding the problem: What is the unknown? What are the data? Can you write them down? 2. Devising a plan: Have you seen it before or do you know a related problem? Do you know a more general problem? Can you derive anything useful from the question? 3. Carrying out the plan: Check each step and ensure you can prove it is correct. 4. Looking back: Check the result. Can you derive the result differently? This heuristic has been used in varying forms in classrooms all over the world for students encountering questions or activities that are unfamiliar to them. However, providing students with this guiding framework is not necessarily enough in teaching students to become ‘problem solvers’. Educational research is pointing out more and more the need for a classroom environment that nurtures students’ thinking." @default.
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- W2404241340 date "2014-12-01" @default.
- W2404241340 modified "2023-09-28" @default.
- W2404241340 title "Developing Problem-solving Approaches to Teaching: Theory and Practice" @default.
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