پدیدارشناسی چرخة مدل‌سازی دانش‌آموزان پایة نهم در حل یک مسأله اصیل

نویسندگان

1 دانش‌آموختة کارشناسی ارشد آموزش ریاضی و دبیر ریاضی شهرستان ‌کهنوج

2 دانشیار بخش آموزش ریاضی، دانشکده ریاضی و کامپیوتر، دانشگاه شهید ‌باهنرِکرمان

چکیده

هدف مقاله حاضر، بررسی تجربه زیستة چرخة مدل­سازی دانش­آموزان با استفاده از رویکرد پدیدارشناختی است. برای این منظور، از یک مسأله با عنوان «نان محلی و نان شهری» استفاده ‌شده است که حاصل تجربة 3 سالة نویسنده اول، در یکی از روستاهای واقع در محدودة جنوب شرقی ایران بوده است. در این پژوهش، از نمونه­گیری هدفمند استفاده ‌شده و تا رسیدن به اشباع اطلاعات، نمونه­گیری ادامه یافته است. در این مطالعه، جمعاً 16 دانش­آموز دختر پایه نهم (8 گروه دو نفره) شرکت داشتند. داده­های مطالعه از منابع مختلف شامل مشاهده مشارکتی، برگه‌های دانش­آموزان، گفتگوهای بین مصاحبه‌گر و دانش­آموز و مصاحبه­های نیمه­ساخت‌یافته جمع­آوری و با استفاده از روش تفسیری، تحلیل‌ شده‌اند. یافته­های مسأله پخت نان که مسأله‌ای اصیل و برگرفته از زندگی واقعی دانش‌آموزان روستایی بود، نشان می­دهد دانش­آموزان از مرحلة اول تا پنجم مدل­سازی به ترتیب قادرند مسأله دنیای واقعی را بیان کنند؛ از داده­های واقعی مدل ریاضی بسازند؛ با استفاده از تجربة زیسته و دانش ریاضی نتایج ریاضی را به ­دست آورند. تجربة پخت نان بر تجسم دانش­آموزان در تفسیر نتایج و  باور آن­ها­ اثر گذاشته است. بنابراین، مهم­ترین نتایجی که پژوهش حاضر به آن رسیده است عبارتند از این­که تجربة زیستة دانش­آموزان به حل مسألة مدل­سازی کمک­ کرده است و نقش مهمی در پر کردن شکاف بین دنیای واقعی و دنیای ریاضی داشته است.

کلیدواژه‌ها


عنوان مقاله [English]

Phenomenology of Modeling Cycle of Grade Ninth Students in Solving an Authentic Problem

نویسندگان [English]

  • Kazem Abdollahpour 1
  • Abolfazl Rafiepour 2
1 MA in Mathematics Education and Teacher of Mathematics in Kahnooj
2 Department of Mathematics Education, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman
چکیده [English]

The aim of the present study is to examine the lived experience of the modeling cycle students with using a phenomenological approach. For this purpose, a problem called "local bread and city bread" was used that designed upon 3- year experience of the first author who lived in one of the villages located in the south-eastern part of Iran. In this research, purposive sampling was used to achieve data saturation. In this study, a total of 16 ninth grade female students (8 pairs) took part. Data of this Study collected from various sources, including participant observation, student responses, dialogue between teacher and students and semi-structured interviews. These data were analyzed through interpretation. Finding of this study show that students are capable to determine real world problem and they can make a math model for real world problem. Indeed, experience of everyday life of students helps them to visualize and interpret the bread problem. So, important findings of this study are firstly lived experience of students help them to solve the modeling problem, and secondly lived experience can fill the gap between real world and mathematical world.
 

کلیدواژه‌ها [English]

  • Phenomenology
  • authentic problem
  • modeling cycle
  • experience of everyday

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