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Developing Number Sense in Young Children Through Collaborative Action Research

Thesis Info

Author

Noor Bano

Department

Institute for Educational Development, Karachi

Program

MEd

Institute

Aga Khan University

Institute Type

Private

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2012

Thesis Completion Status

Completed

Subject

Education

Language

English

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727893463

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Mathematics education is a critical part of the curriculum for students worldwide (Linder, Costello & Stegelin, 2011). Children possess some mathematical understanding before entering into formal schooling. However, pre-primary education provides them with a platform where they start their systematic learning of mathematical concepts by connecting them with their daily life experiences. In this connection, effective teaching and learning processes make a difference in young children’s attitude towards mathematics and build a strong foundation for mathematics learning later in life. The effectiveness of teaching depends on the teachers’ content and pedagogical skills, which are enhanced through different courses and collaborative work with other teachers. Action research is one of the effective methods for continuous professional development of teachers as it informs teachers about their practices and empowers them to take leading responsibilities in their own teaching contexts (Donato, 2003). In order to facilitate pre-primary teachers’ and my own professional skills particularly in developing number sense in young children, I conducted a collaborative action research in one of the private schools in Karachi. Two pre-primary teachers and four pre-primary students participated in the study. Collaborative planning, teaching, interview, reciprocal observation of teaching methods and informal discussions with participant teachers helped me to collect and enrich my data. The data indicates that the collaborative action research benefitted both teachers and the young learners in multiple ways. It benefitted teachers in developing pedagogical skills through planning, implementing, reflecting and re-planning with necessary changes in a cyclic way. It helped us in learning both skills and content from each other’s experiences and teaching practices, through co-teaching and providing feedback to each other. The study was helpful for young children to develop their understanding of numbers through their active engagement with concrete materials for their exploration. It also enabled them to learn mathematical concepts in a smooth transition from concrete to representational to abstract level. The results of this study can be replicated in a public school context and in a rural setting over a longer period of time. On the basis of the study findings, I believe that this study can help pre-primary teachers and teacher educators in identifying different strategies and activities to enhance young children’s mathematical understanding.
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مولانا شاہ ابرار الحق حقی

آہ! حضرت مولانا شاہ ابرارالحق حقی ؒ
افسوس کہ مشہور عالم، مصلح و مربی مولانا شاہ ابرارالحق کا انتقال ہر دوئی میں ۱۶؍ مئی کی شب میں ہوگیا، اناﷲ وانا الیہ راجعون، قریب ۹۰ سال کی عمر پائی، ان کی وفات سے دینی و علمی خصوصاً اصلاح و ارشاد کے حلقوں میں جو ماتم برپا ہے، اس سے اندازہ ہوتا ہے کہ ان کی رحلت سے قوم و ملت کو کس درجہ نقصان و حرمان کا احساس ہے۔
وہ حکیم الامت مولانا تھانویؒ کی بزم دوشیں کی آخری شمع تھے، مولانا تھانویؒ سے براہ راست اکتسابِ فیض کی نسبت ان کی دینی و اصلاحی خدمات کی عظمت و وسعت اور فیض یا فتگان کی بے مثال کثرت میں ہمیشہ برکت کا سبب بنی رہی، مولانا تھانویؒ کے متعلق اہلِ دل کا یہ قول نقل کیا گیا ہے کہ ’’اﷲ تعالیٰ نے ان کے زمانے کے باصلاحیت لوگوں کو ان کے گرد جمع فرما دیا تھا‘‘، اس کی تصدیق واقعتا حضرت تھانویؒ کے سینکڑوں خلفا اور ہزاروں مریدوں کے جایزے سے ہوتی ہے جن میں ہر شخص آفتاب و ماہتاب تھا، مولانا ابرارالحق صاحب خانقاہ تھانہ بھون سے بیت کی اجازت پانے والوں میں سب سے کم عمر تھے، مولانا تھانویؒ کی مشہور اصول پسندی اور صحبت و بیعت کی اجازت کے باب میں شدت احتیاط کے باوجود ایک نوعمر کو خلافت و اجازت عطا کیے جانے سے کم سن مرید کی صلاحیت و عظمت کا اندازہ لگانا مشکل نہیں جس کی بعد کی زندگی کے ہرنقش نے ثابت کیا کہ نگاہ مرشد کیسی جو ہر شناس تھی۔
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مغلیہ دور كے عہد زوال میں علم اصول فقہ كا ارتقائی مطالعہ

Zahir-ud-Din Muhammad Babur founded the Mughal Dynasty in 933 Hijra (1526 A. D) . The golden period of this magnificent dynasty ended with the reign and death of sixth emperor Aurangzeb Alamgheer in 1119 Hijra (1707 A. D) , then started a long period of chaos and conflict which ended in 1274 Hijra (1857) with the dethronement of Bahadur Shah Zafar, which also ended the long rule of Muslims and Mughals from the Sub-Continent. During this period of political, social, intellectual, and moral decline, many Ulama (religious scholars) and Fuqaha (Jurists) contributed to Usool-e-Fiqh and wrote good books in this field, even though most of the work was related to the commentary, explanation of the previous books on the same topic. The paper discusses the period of 13th-century Hijra in chronological order and discusses the written contribution (not oral) of scholars and jurists of the Sub-Continent only

A Study of the Implementation of the Communicative Approach to English Language Teaching in Lower Secondary Classes

English language and its teaching has been a controversial issue since independence of the country. In spite of that it still enjoys a 'privileged position' in our country. Presently, English as a foreign language is being taught from primary classes onwards, mostly through Grammar Translation Method, in the government schools. This method has failed to develop students' communicative skills. Therefore, the government has introduced a functional notional syllabus of English language underlying the philosophy of Communicative Approach to Language Teaching. The purpose of this study was to find out the facilitating and inhibiting factors in the implementation of the Communicative Approach in the English language teaching in lower secondary classes. In order to make Communicative Approach effective, several lessons were planned based on Nunan's (1993) notion of communicative task in collaboration with two teachers and taught by them in the lower secondary classes in one of the government schools. A case study method was used in this research. To gather relevant information, interview and observation were used as main techniques. The findings related to pre-intervention stage indicate that the teachers seemed unaware of the purpose of the new English textbooks and the teaching pedagogy. They felt confident to teach through Grammar Translation Method. Their teaching seemed very much examination oriented. The findings pertaining to intervention and post intervention stages reveal that some facilitating factors such as teachers' positive attitudes, collegiality, support from the head and mentoring contributed towards the implementation of the Communicative Approach to English language teaching. The teachers and the students tended to show their positive attitude towards Communicative Approach. Both teachers and students felt that this approach helps develop a context of language learning in the classroom. However, some problems such as large classes, teachers' and students' language proficiency, teachers' knowledge of language and teaching methods hindered the implementation of Communicative Approach.