کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
360727 1436026 2012 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An investigation of preservice teachers’ use of guess and check in solving a semi open-ended mathematics problem
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An investigation of preservice teachers’ use of guess and check in solving a semi open-ended mathematics problem
چکیده انگلیسی

Open-ended problems have been regarded as powerful tools for teaching mathematics. This study examined the problem solving of eight mathematics/science middle-school teachers. A semi-structured interview was conducted with (PTs) after completing an open-ended triangle task with four unique solutions. Of particular emphasis was how the PTs used a specific heuristic strategy. The results showed that the primary strategy PTs employed in attempting to solve the triangle problem task was guess and check; however, from the PTs’ reflections, we found there existed misapplications of guess and check as a systematic problem-solving strategy. In order to prepare prospective teachers to effectively teach, teacher educators should pay more attention to the mathematical proficiency of PTs, particularly their abilities to systematically and efficiently use guess and check while solving problems and explain their solutions and reasoning to middle-school students.


► Preservice teachers (PTs) mainly focus on a random guess and check strategy when they are having difficulty solving open-ended puzzle problems.
► PTs stop at one solution rather than looking for multiple solutions.
► PT educators should focus on modeling systematic guess and check and encourage PTs use multiple and alternative strategies when they fail to find a solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: The Journal of Mathematical Behavior - Volume 31, Issue 1, March 2012, Pages 105–116
نویسندگان
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