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انقلابی در بازنماییهای چندگانه هندسی و توسعه برنامهدرسی ریاضی: تأثیر نرمافزار اتوگراف بر مفاهیم حجم و مساحت | ||
| پژوهش در مطالعات برنامه درسی تربیت معلم | ||
| مقاله 6، دوره 6، شماره 1 - شماره پیاپی 10، شهریور 1405، صفحه 81-95 اصل مقاله (1.05 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.48310/jcdr.2025.20533.1222 | ||
| نویسندگان | ||
| فاطمه ارگنجی1؛ سید حسن علمالهدایی2؛ محدثه علی زاده* 3؛ مهدی جباری نوقابی4 | ||
| 11 معلم و دانشجوی کارشناسی ارشد آموزش ریاضی، ریاضی کاربردی، علوم ریاضی، دانشگاه فردوسی مشهد، | ||
| 2استاد تمام آموزش ریاضی ، ریاضی کاربردی، علوم ریاضی، دانشگاه فردوسی مشهد، | ||
| 3معلم و کارشناسی ارشد و استاد مشاور آموزش ریاضی، ریاضی کاربردی، علوم ریاضی، دانشگاه فردوسی مشهد، | ||
| 4دانشیار آمار، گروه آمار، ، علوم ریاضی، دانشگاه فردوسی مشهد، | ||
| چکیده | ||
| پیشینه و اهداف: پژوهشهای اخیر نشان میدهد که استفاده از بازنماییهای چندگانه در محیطهای دیجیتال میتواند به بهبود درک مفاهیم ریاضی کمک کند. هدف این پژوهش، بررسی تأثیر آموزش با نرمافزار اتوگراف بر تقویت بازنماییهای چندگانه در مفاهیم هندسی حجم و مساحت دانشآموزان پایه هفتم بود. روشها: این مطالعه بهصورت شبهتجربی در دو گروه موازی انجام شد. جامعه آماری دانشآموزان دختر پایه هفتم یکی از مناطق اطراف مشهد در سال تحصیلی ۱۴۰۳–۱۴۰۴ بود که ۶۶ نفر به روش نمونهگیری در دسترس انتخاب شدند. هر دو گروه مفاهیم حجم، مساحت و مهارتهای بازنمایی را فراگرفتند؛ با این تفاوت که یک گروه با نرمافزار اتوگراف و گروه دیگر با روش سنتی آموزش دیدند. ابزار پژوهش، آزمون محققساختهای با سه بُعد بصری، نمادین و تفسیری بود. یافتهها: نتایج تحلیل واریانس با اندازهگیری مکرر نشان داد که عملکرد گروه آموزش دیده با اتوگراف در پسآزمون بهطور معناداری بهتر از گروه دیگر بود(p < 0.001). نتیجهگیری: یافتهها بر نقش موثر بازنماییهای چندگانه را در یادگیری هندسه تأکید دارد و ضرورت بازنگری در روشهای آموزشی و توسعه برنامة درسی ریاضی را نشان میدهد. | ||
| کلیدواژهها | ||
| بازنمایی ریاضی؛ نرمافزار اتوگراف؛ آموزش هندسه؛ مفاهیم فضایی؛ برنامهدرسی ریاضی | ||
| عنوان مقاله [English] | ||
| Revolutionizing Geometric Multiple Representations and Mathematics Curriculum Development: The Impact of AUTOGRAPH Software on Volume and Area Concepts | ||
| نویسندگان [English] | ||
| Fateme Organji1؛ Seyyed Hassan Alamolhodaei2؛ Mohadaseh Alizadeh3؛ Mehdi Jabbari Nooghabi4 | ||
| 1Teacher and Master students of Mathematics Education, Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| 2Full Professor of Mathematics Education, Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| 3Teacher, Master and Professor Advisor of Mathematics Education, Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| 44 Associate Professor of Statistics, Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| چکیده [English] | ||
| Background and Objectives: Recent studies suggest that using multiple representations in digital environments can enhance mathematical understanding. This study aimed to examine the effect of teaching with Autograph software on improving multiple representations in geometric concepts among seventh-grade student. Methods: This quasi-experimental research used a pretest-posttest design with two parallel groups. The statistical population included seventh-grade female students from a district near Mashhad in the 2024–2025 school year. A total of 66 students were selected through convenience sampling. Both groups learned volume, area, and representation skills; one through Autograph and the other through traditional teaching. The data collection tool was a researcher-made test assessing visual, symbolic, and interpretive dimensions. Findings: Repeated measures ANOVA showed that the Autograph group significantly outperformed the traditional group in the posttest (p < 0.001). Conclusion: These findings highlight the importance of incorporating multiple representations in learning geometry and suggest the need to reconsider traditional teaching approaches. | ||
| کلیدواژهها [English] | ||
| Mathematical representation, Autograph software, Geometry education, Spatial concepts, Mathematics Curriculum | ||
| مراجع | ||
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