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تحلیلی بر معرفی مفهوم مشتق در کتابهای درسی ریاضی دورة دوم متوسطه با تکیه بر نظریة نشانهشناسی پیرس در طی 45 سال | ||
| تدریس پژوهی | ||
| مقاله 8، دوره 13، شماره 4 - شماره پیاپی 43، دی 1404، صفحه 122-152 اصل مقاله (1.67 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22034/trj.2025.136935.1505 | ||
| نویسندگان | ||
| ابراهیم ریحانی* 1؛ سعید حق جو2 | ||
| 1دانشیار آموزش ریاضی، دانشکده علوم پایه، گروه ریاضی،دانشگاه تربیت دبیر شهید رجایی، تهران، ایران. | ||
| 2دانشآموخته دکتری آموزش ریاضی،دانشکده علوم پایه، گروه ریاضی،دانشگاه تربیت دبیر شهید رجایی، تهران، ایران. | ||
| چکیده | ||
| هدف: هدف از این پژوهش، تحلیل محتوای کتابهای درسی ریاضی ایران جهت بررسی چگونگی ارائه مفهوم مشتق در طول یک دورة 45 ساله(1402-1358) میباشد. روش: روش پژوهش تحلیل محتوای کیفی از نوع قیاسی است. واحد تحلیل تمام محتوای مربوط به فصل مشتق کتابهای درسی دورة دوم متوسطه نظری در دو رشته ریاضی و تجربی (پایههای یازدهم و دوازدهم یا پیشدانشگاهی) میباشد. برای این منظور از چارچوب نشانهشناسی پیرس استفاده شده، و به طور خاص به طبقهبندی او از ابزار علامتها پرداخته میشود. ابزارعلامتها در ارتباط با مفهوم مشتق ممکن است شمایلی، نمایهای یا نمادین باشند. مفهوم مشتق در یک نقطه در 8 کتاب رشتة ریاضی و 6 کتاب رشتة تجربی که در چرخة تدریس قرار داشتهاند، تحلیل شده است. نویسندگان دستهبندی خاصی از شمایل و نمایه چارچوب پیرس به کار بردهاند. روایی ابزار اندازهگیری توسط سه متخصص آموزش ریاضی تأیید شده و پایایی آن با بررسی دو ارزیاب و توافق 100% صورت گرفته است. یافتهها: نتایج نشان میدهد که از 14 کتاب مورد بررسی فقط 3 کتاب هر دو شمایل نموداری یا تصویری و استعارهای را با هم داشتند؛ همچنین فقط 4 کتاب هر سه نمایههای عددی، ضابطهای و نموداری را توأمان داشتند. کتاب حسابان 2 و ریاضی 3 در مفهومسازی مشتق در یک نقطه با چارچوب نظری نشانهشناسی پیرس در ارائه مشتق در یک نقطه نسبت به سایر کتابها سازگارتر شناخته شده است. کتابهای درسی جدید در مبحث مشتق در یک نقطه فرصتهای یاددهی و یادگیری مناسبی را برای شاگردان جهت یادگیری معنادار به کمک بستة نشانهشناسی فراهم کردهاند. | ||
| کلیدواژهها | ||
| مشتق؛ نشانه؛ نشانهشناسی پیرس؛ کتابهای درسی ریاضی ایران؛ تحلیل محتوا | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 146 تعداد دریافت فایل اصل مقاله: 69 |
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