طراحی واعتبارسنجی الگوی برنامه درسی ریاضی مبتنی بر رویکرد واقعیت مدار برای دانش آموزان دوره دوم متوسطه
الموضوعات : پژوهش در برنامه ریزی درسیعبدالامیر عباس زاده 1 , علیرضا مدقالچی 2 , نسیم اصغری 3
1 - دانشجوی دکترای ریاضی ،گرایش آموزش ریاضی دانشگاه آزاداسلامی واحد تهران مرکزی ،تهران ، ایران
2 - گروه ریاضی دانشکده علوم ریاضی و کامپیوتر ، دانشگاه خوارزمی ، تهران ، ایران
3 - استادیارگروه ریاضی ، دانشکده علوم پایه دانشگاه آزاداسلامی واحد تهران مرکز ی، تهران ، ایران
الکلمات المفتاحية: اعتبار سنجی, ریاضیات واقعیت مدار, دوره دوم متوسطه, الگوی تارعنکبوتی اکر, برنامه درسی ریاضی,
ملخص المقالة :
پژوهش حاضر با هدف طراحی و اعتبارسنجی الگوی برنامه درسی ریاضیات واقعیت مدار برای دانش آموزان دوره دوم متوسطه انجام شد.روش پژوهش از نظر هدف کاربردی ودر زمره مطالعات آمیخته (کیفی -کمی) بود. در بخش کیفی گردآوری داده ها به روش اسنادی و با استفاده از فن تحلیل محتوا صورت گرفت.جامعه پژوهش شامل کلیه اسناد ریاضیات واقعیت مدار و حجم نمونه شامل 94 سند بود .نمونه گیری هدفمند وروش گردآوری اطلاعات استخراج شده فیش برداری بود. روایی و پایایی داده ها از چهار ملاک اعتماد پذیری ، انتقال پذیری ، وابستگی و اتکا پذیری و تایید پذیری صورت گرفت.یافته ها مطابق الگوی ده گانه اکر در قالب مولفه های برنامه درسی ریاضیات واقعیت مدار شامل: منطق ، اهداف ، محتوا ، فرصت های یادگیری ،نقش معلم ، منابع ، مکان ، زمان ، گروه بندی ، ارزشیابی تبیین گردید. به منظور اعتبار بخشی الگوی پیشنهادی بخش کمی به روش توصیفی پیمایشی ومقیاس محقق ساخته ، صورت پذیرفت. جامعه آماری این بخش شامل افرادی بود که با توجه به موضوع پژوهش دارای دانش و تخصص و تجربه بودند .در یک نمونه گیری هدفمند تعداد 30 نفر در پژوهش شرکت داشتند . اعتبار مقیاس ، به روش اعتبار محتوا و محاسبه شاخص های نسبت روایی محتوا و پایایی ابزار نیز از طریق روش همسانی درونی محاسبه گردید . داده های کمی به روش تحلیل عامل تاییدی تجزیه و تحلیل شدند . در نهایت مشخص شد الگوی برنامه درسی ریاضی طراحی شده مبتنی بر رویکرد واقعیت مدار ازاعتبارلازم برخوردار است.
Akhadya, W. N., & Wijaya, A. (2017). The effectiveness of team assisted individualization learning model with realistic mathematics approach on mathematical problem-solving ability of junior high school students. Pendidikan Matematika-S1, 6(1), 37-42.
Azwar,M., & Surya, E. (2017). Development of Learning Devices Based on Contextual Teaching and Learning Based on The Context of Aceh Cultural to Improve Mathematical Representation Ability. IJARIIE, 3(2), 2395-4396.
Beckers,D.(2019). Why to publish on mathematics education so as to be useful? Educational Studies in Mathematics and its founder Hans Freudenthal Educational Studies in Mathematics ,101(5), 7–17.
Dwijanto,A., Tayani, M., & Veronica, R. B. (2019). The mathematical creative thinking ability viewed from learning interest in eleventh grade of vocational high school by using treffinger model assisted by problem card. Unnes Journal of Mathematics Education, 8(1), 26–33.
Ebrahimi,M .,&Yaftian,N.(2020). Correspondence between the Content of the 9th Grade Math Textbook and the Real World. Quaterly Journal of Educational, 35 (4) , 107-130.
Fathi Vahjargah, K. (2015). Principles and Concepts of Curriculum Development. Tehran: Ball Publishing.
Fauzan, A., Armiati, A., & Ceria, C. (2018). A learning trajectory for teaching social arithmetic using RME approach IOP Conference Series: Materials Science and Engineering, 335(1),112-136.
Fauzan, A., & Yerizon. (2017). The Effect of the RME Approach and Learning Independence on Students’ Mathematical Ability. Prosiding Semirata FMIPA Universitas Lampung,7-14.
Galman, S.M.A., & Del Rosario, J.C. (2021) Linking Real-Life Situations with Classroom Assessment: Development of Real-Life Performance Based Tasks in Business Mathematics. Journal of Applied Mathematics and Physics, 9(7), 485-502.
Gholamazad,S.(2014). The trace of realistic mathematics education in the school mathematics in Iran. Journal of Theory & Practice in Curriculum,2 (3), 47-70.
Gholamazad,S.(2021).School Mathematics Curriculum Change : Challenges and Required Research.Journal of curriculum studies (j.c.s), 15(57), 107-128.
Goos, M., Vale, C., & Stillman, G. (2017). Teaching secondary school mathematics: Research and practice for the 21st century (2nd ed.). Crows Nest, NSW: Allen & Unwin.
Hajibabaei, G.,& et al.(2020). Curriculum Guide for Math Learning. Educational Research and Planning Organization, Ministry of Education.
Hoseini,F.(2018). Using simple reality-based models in teaching some of the basics of high school math. Mathematics Education Approach. Master's Thesis in Science in Mathematics Education Faculty of teachers's point of view. Master's Thesis in Science in Mathematics Education Faculty of science. Shahid Rajaee Teacher Training University.
Kaushik,D.(2020). Realistic Mathematics & Vygotsky’s Theories in Mathematics Education.
International Journal of Education, 9 (1) ,104-108.
Lakoff, G. ,& Núñez, R.E. (2000) Where mathematics come from: How the embodied mind brings mathematics into being. New York: Basic Books.
Laurens, T., Batlolona, F. A., Batlolona, J. R., & Leasa, M. (2018). How does realistic mathematics education (RME) improve students’ mathematics cognitive achievement. Mathematics.Science and Technology Education, 14(2), 569-578.
Lincoln, Y.S., & Guba, E. (1995).Naturalistic inquiry, Thousand Oaks, CA: Sage, 124.
Madaniebrojeni,N.(2015). The Role of History of Mathematics in Mathematics Education From
Mathematics and Computer Department of Mathematics Education .Shahid Beheshti Tehran.
Maulydia, S. S., Surya, E., & Syahputra, E. (2017). The Development of Mathematic Teaching Material Through Realistic Mathematics education to Increase Mathematical Problem solving of Junior High School Students. International Journal of Advance Research and Innovative Ideas in Education (IJARIIE), 3(2), 2965-2971.
Maureen, S., & et al.(2019). the integration of a problem-solving framework for brunei high school mathematics curriculum in increasing student’s affective competency. Journal on Mathematics Education, 10( 2), 215-228.
Mohseni,M.(2015). Construction of Function Concept by Grade 9 Students through Realistic Mathematics Education Approach. Master's Thesis in Science in Mathematics Education. Faculty of Mathematics and Computer Department of Mathematics Education .Shahid Bahonar University of Kerman.
Muslimin,N., Ratu, I.,& Zulkardi , N.(2020). Learning Integers with Realistic Mathematics Education Approach Based On Islamic Values, Journal on Mathematics Education, 11( 3), 363-384.
Nana,S.(2018). Mathematics Learning Devices Development based on Realistic Mathematics Education on Probability. AL-TA’LIM JOURNAL, 25 (1), 87-96.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
Nguyen ,T.(2022). Designing a teaching model based on the Realistic Mathematics Education (RME) approach and its application in teaching calculus. Journal of Mathematics and Science Teacher,2(1), 1-10.
Noviani, J., Syahputra, E., & Murad, A. (2017). The Effect of Realistic Mathematic Education (RME) in Improving Primary School Students’ Spatial Ability in Subtopic Two Dimension Shape. Journal of Education and Practice, 8(34),19-36.
Nur, M., & Surya, E. (2017). The Integration of Realistic Mathematical Approach and Virtual Manipulative as an Enhancement of Students’ Mathematical Representation Ability. IJARIIE, 3(2), 2395-4396.
Özkaya, A., & Yetim Karaca, S. (2017). The effects of Realistic Mathematics Education on students’ achievements and attitudes in fifth grades mathematics courses. Education and Teaching (IOJET),4(2), 185-197.
Pratama, S., Minarni, A., & Saragih, S. (2017). Development of Learning Materialss Based on Realistic Approach Integrated Context Malay Deli Culture To Improve Ability of Understand Mathematical Concepts and Students’ Self-Regulated Learning At SMP Negeri 5 Medan. Journal of Mathematics (IOSR-JM), 13(6), 18-29.
Rafiepour,A.,& Gooya,Z.(2010 ). Necessity and direction of changes in school mathematics curriculum Iran from the perspective of teachers .Quaterly Journal of Educational Innovations, 33(9),91-120.
Rejali,A.,& Parvaneh,A.(2019).Warning to the Iranian mathematical community and those interested in the sustainable development of the country. The Culture and Thought of Mathematics, 65(38), 13-35.
Reyhani,A., & etal.)2016(.Curriculum Guide for Math Learning. Educational Research and Planning Organization, Ministry of Education.
Sari, W.R., & Mutmainah, S. (2018). Increased motivation and results of student math learning through realistic mathematics education. Journal of Mathematics Education, 3(1), 7-13.
Sean,L.(2018). Didactical Phenomenology: The Engine That Drives Realistic Mathematics Education, For the Learning of Mathematics , 38( 3), 65-86.
Tanjung, H. S. (2017). Development of Learning Devices Based on Realistic Mathematical Approaches to Improve Mathematical Communication Skills of Middle School Students. MAJU Journal, 4(1),30-58
Tine,T.,& et al.( 2019). Realistic Mathematics education (RME) and didatical situations in Mathematics (DSM) in the context of education reform in Vietnam. International Journal of Education and Practice, 8(1),57-71.
Van den Heuvel-Panhuizen,M.(2019). International Reflections on the Netherlands Didactics of Mathematics Visions on and Experiences with Realistic Mathematics Education. Springer.
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