Unraveling the Mystery of the Origin of Mathematical Problems: Using a Problem-Posing Framework With Prospective Mathematics Teachers
نویسنده
چکیده
In this article, I model how a problem-posing framework can be used to enhance our abilities to systematically generate mathematical problems by modifying the attributes of a given problem. The problem-posing model calls for the application of the following fundamental mathematical processes: proving, reversing, specializing, generalizing, and extending. The given problem turned out to be a rich source of interesting, worthwhile mathematical problems appropriate for secondary mathematics teachers and high school students.
منابع مشابه
Investigating the process of problem posing
Abstract: In the first part of this study, first a brief introduction of problem posing was present and then, some frameworks and classifications of problem posing were reviewed. In the second part of the study the research that has been conducted in Iran was introduced. This quasi-experimental study was conducted with experimental and control groups which aimed to investigate the impact of fos...
متن کاملA Critical Analysis of the Origin and Nature of Classical Mathematical Economics: Why Classical Economists Did Not Use Mathematics?
The role of mathematics in economic analysis is not yet a settled question. Smith, Ricardo, Mill and other eminent classical economists did not use mathematics in their economic theorizations. We have defined classical mathematical economics as the whole body of literature in mathematical treatment of economics originating mainly from the contributions of Cournot, Jevons and Walras. There are ...
متن کاملAnalysis of the experiences of teachers about the obstacles and problems of learning math
Abstract Introduction:The purpose of this research was to investigate the problems and barriers of students chr('39')learning in mathematics based on teacherschr('39') experiences and narratives. Metods: A qualitative approach and narrative analysis method have been used to achieve this goal. The statistical population was all the privileged mathematics teachers in Tehran. The samples were s...
متن کاملMathematics Teachers’ Approaches to “Listening” in Mathematics Classes: A phenomenographic approach
The ways that mathematics teachers listen to students’ explanation, influence their understanding of students and their teaching activities. If teachers be informed about different ways of “listening” to students’ ideas and conceptions concerning mathematics, they might be able to use listening as an effective teaching method to enhance students’ mathematical learning. The related literature in...
متن کاملThe Effect of Computer-oriented Working Memory learning on Improving Problem Solving Skills of Students with Problem Solving Difficulties in Mathematics
The purpose of this research is to determine the effects of cognitive training using software programs on improving the performance of students' skills in solving the mathematical problems. The method of this research was semi-experimental with using pre-test post-tests and control group. For this purpose, first by random multi-stage cluster, 180 male students of fourth-grade were selected, the...
متن کامل