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Home > Exploring the Attempts of a Grade V Mathematics Teacher Towards Improvement in Mathematical Tasks Selection and Implementation for Developing Students Conceptual Understanding in a Private School of Karachi, Pakistan

Exploring the Attempts of a Grade V Mathematics Teacher Towards Improvement in Mathematical Tasks Selection and Implementation for Developing Students Conceptual Understanding in a Private School of Karachi, Pakistan

Thesis Info

Author

Moosani, Nida Nooruddin

Department

Professional Development Centre, Karachi

Program

MEd

Institute

Aga Khan University

Institute Type

Private

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2015

Thesis Completion Status

Completed

Subject

Education

Language

English

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727918796

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Classroom experiences play a vital role in developing students' conceptual understanding of mathematics. Therefore, it is essential to engage students in such mathematical tasks in the classroom which provide students opportunities for reasoning, conjecturing, pattern seeking and generlizing in a collaborative learning environment. The National Curriculum of Mathematics (2006) also emphasizes the changing role of teachers from knowledge transformers to facilitators in the student-directed learning process and this cannot be achieved unless teachers are provided professional development to choose and design mathematical tasks for their students which promotes students mathematical reasoning and conceptual understanding. This study explored the ways through which a primary mathematics teacher brought improvement in her selection and implementation of mathematical tasks for developing students' mathematical understanding. The reported study used Collaborative Action Research which comprised four action research cycles using Lewin's model of Action Research that aimed to explore progress in the participant teacher's task selection and implementation. Data for the study were collected from a private school in Karachi Pakistan where I worked with one mathematics teacher for more than two months. Data collection tools included classroom observations, semi structured interviews, reflections/reflective sessions and students' sample work. The findings of the study demonstrated that the factors resulting in improvement of teacher's task selection and implementation includes the facilitation by the mentor teacher, enhancement in one's own content and pedagogies knowledge and development of a teacher's understanding of students' cognitive level. The findings of the study also revealed that the common factors influencing the selection of mathematics tasks comprised shortage of time, obligation of syllabus coverage, level of students' understanding, students' prior knowledge and teacher's belief about mathematics. This study also highlighted the residing factors influencing the implementation of rich mathematical task which include the nature of the selected task, its alignment with students' prior knowledge, amount of time provided to students and mainly the role of the teacher in implementing the tasks. Based on the findings, this study recommends that classroom teachers should be provided some autonomy to make modifications in the syllabus. Moreover, the school management should work for teachers' professional development by arranging in- service teacher training sessions for lifelong learning.
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عطا اﷲ عطاؔ قاضی

                عطا اﷲ عطاؔ قاضی (۱۹۳۴ء پ) محلہ ٹلہ پسرور میں پیدا ہوئے میٹرک کے بعد منشی فاضل کا امتحان پاس کیا۔ آرٹس میں ڈپلومہ سنٹرل ٹریننگ کالج لاہور سے کیا۔ شہر فہمی اور شعر گوئی کے علاوہ قاضی عطا نثر نگاری ، مصوری ،فوٹو گرافی اور خوش نویسی کے فن میں بھی ماہر ہیں۔(۱۲۰۹)

                آپ کے مزاج میں ادبی چاشنی رچی بسی ہے۔آپ کے شعری مجموعے ’’فراز سخن‘‘، (سورہ بقرہ کا منظوم ترجمہ) ،’’اعزازِ سخن‘‘،( توحیدی آیات کا منظوم ترجمہ)’’اعتزاز سخن‘‘،( سورہ نسا ،مائدہ کااورسورہ توبہ کا منظوم ترجمہ)’’رازِ سخن‘‘ ، (پارہ عم کا منظوم ترجمہ)’’امتیاز سخن‘‘( سورہ مائدہ کا منظوم ترجمہ) ناز سخن (حمد ونعت ،قرآنی دعائیں ،منظوم ترجمہ)اور ’’اشکوں کی لو ‘‘(غزلیہ مجموعہ ) ادبی سبھا پسرور سے شائع ہو چکے ہیں۔ ان شعری مجموعوں کے علاوہ قاضی عطا کا سب سے بڑا کارنامہ ’’مفہوم القرآن ‘‘کے نام سے قرآن مجید کا مکمل منظوم ترجمہ ہے۔

                 یہ ترجمہ تین ہزار صفحات کی ضخامت اور تین جلدوں پر مشتمل ہے۔ اب تک ’’مفہوم القرآن ‘ ‘ کے دو ایڈیشن شائع ہو چکے ہیں۔ قاضی عطاؔ کا قلم کسی ایک موضوع الہیات کے موضوع ہی کا محتاج نہیں رہا ۔ اس کا خامہ زرفشاں زندگی کے ہر پہلو پر رواں رہا ہے۔ الہیات کے موضوع کو ملاحظہ کریں کس خوبصورت انداز سے اس کا اظہار کرتے ہیں:

لاکھ پردوں میں بھی ہے بے پردہ

 

1کل ہے اجزا میں آشکارا ہے

 

â۱۲۱۰)

 

 

 

 

ہر آئینہ جزو میں جلوہ نما ہے کل

 

پنہاں ہے گو نظر سے مگر وہ کہاں نہیں

استحسان کی اصلیت و ماہیت کے بارے میں مستشرقین کی آراء کا تنقیدی جائزہ

Islamic Fiqh is the representative of legal aspect of Islam. It has been originated and established on direct teachings of Qur’an and Sunnah of the Holy Prophet Muhammad (SAW). These two sources are called primary sources of Islamic law. There are some supplementary sources to the primary sources; Istihsan (Juristic Preference) is one of these. Orinetalist’s studied and produced literature on Islamic law. Istihsan has also been discussed by them but they have different opinions about its origin and its role in Islamic law. In this article their opinions are being critically analyzed and the definition, role and types of Istihsan being presented according to Muslim’s viewpoint. This research concluded that the Goldziher, Joseph Schacht, MicDonald, David Pearl, and Benjamin Jokisch explanations about the establishment of Isti╒san are not correct.

Micronutrient Zn, Cu, Fe and Mn Indexation and Zn Nutrition Management in the Apple Orchards of Murree

Quality and yield of major fruits grown in country are far below their potential despite of favorable climatic conditions. Average yield of apple orchards in Pakistan is alarmingly lower than other apple producing countries in the world. In the fruit crops, either nutrient use is below optimum or in imbalanced proportions. Micronutrient disorder along with nitrogen, phosphorous and potassium deficiencies are of economic significance in this regard. It is estimated that Fe and zinc deficiencies are widespread occurring in about 30 to 50% of cultivated soils on the world scale. Murree is the only apple growing region in the Punjab Pakistan. Geo-statistics and GIS as diagnostic norms have not been used for nutrient indexation in the apple orchards and were neglected from nutrition management point of view. A field survey was conducted to examine the spatial dependence of micronutrients and to prepare the spatial distribution maps for the micronutrients in the soils. Field trials were conducted for site specific zinc nutrition assessment. The specific objectives of study were: (i) Micronutrients indexation (zinc, copper, iron and manganese) of soil and foliage of apple orchards in Murree (ii) Mapping and geo-statistical analysis of micronutrients in apple cultivated Murree area (iii) Impact of zinc nutrition on apple yield and fruit quality parameters. One hundred and eighty soil and associated foliage samples were collected from 30 selected apple orchards using grid of 6×6 m. General deficiency of plant available zinc prevailed in the orchard soils of Murree area followed by slight Mn deficiency. Widespread deficiency of zinc existed in the foliage of apple orchards followed by site-specific deficiency of manganese, iron and copper respectively. Plant available 2 zinc, copper and manganese were moderately spatial dependant in the surface and strongly spatial dependent in the subsurface and lower soil depth whereas moderate spatial dependence of plant available Fe at three depths was observed. Moderate to strong spatial dependence allowed us to prepare the digital maps for spatial distribution of micronutrients in the area. Moderate to strong spatial dependence of plant available micronutrient indicated a need for the development of variable fertilizer (micronutrient) rate technology by conducting field trials in various zones delineated in this study. Field trials were conducted by selecting 6 apple orchards, two from each low, medium and adequate in soil zinc but low in foliage zinc content. Treatment plan included T1= Zn 0 g/ tree, T2 = Zn 20 g/ tree, T3 = Zn 30 g/ tree and T4 = Zn 40 g/ tree with the basal dose of NPK per tree. Zinc fertilizer application resulted in increase in the apple yield and yield components. Thirty gram zinc produced maximum yield in the low zinc soils while twenty gram zinc resulted in optimum yield in medium and high zinc soils. Zinc fertilization increased size, number, yield and firmness of fruit. Zinc application decreased titratable acidity and relative electrical conductivity. Significant interaction between the treatments and location manifested differential response due to native zinc content in the soils.