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A Study of Formative Assessment Strategies in the Teaching of Mathematics in a Private Primary School in Karachi, Pakistan

Thesis Info

Author

Ndoori, Emmanuel

Department

Institute for Educational Development, Karachi

Program

MEd

Institute

Aga Khan University

Institute Type

Private

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2004

Thesis Completion Status

Completed

Subject

Education

Language

English

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727874946

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Assessment is an indispensable component in any learning institution, be it formal or informal. Without assessment it is hard to know the strengths and weaknesses of both teachers and students in teaching and learning. The ultimate aim of any institution of learning is progress and it cannot be attained unless there is assessment. However, not all forms of assessment can bring about progress. Improvement in the teaching-learning process for the benefit of both teachers and students is always at the centre of formative assessment (Black &Wiliam, 1998). I designed this study to develop an in-depth understanding into the use of formative assessment strategies in the teaching of mathematics. This study took place in a private primary school in Karachi, Pakistan. It was conducted in classes four and five. I used a qualitative design of research, in which classroom lesson observations, post observation conferences, interviews and review of documents served as tools of data collection. Research participants were mainly teachers and students. I also got supplementary information from the head teacher to have a holistic picture of the whole study with regard to assessment practices in the school. The findings revealed that there were a number formative assessment strategies used in the teaching of mathematics at the time of the study. The assessment strategies that were being used at the time of data collection were: questioning, marking and feedback, review of the previous work, and end-of topic tests. It was also found that there were facilitating and constraining factors that affected the use of formative assessment. I conclude with recommendations for the school administrators and teachers of the school in which the study was conducted. I also propose further studies in the same area of research community, with special focus in developing countries to see how effectively formative assessment can be applied.
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مولانا محمد ابراہیم بلیاوی

مولانا محمد ابراہیم بلیاوی
ابھی مولانا شاہ وصی اﷲ صاحبؒ کا غم تازہ تھا کہ ایک اور بزرگ ہستی کا سایہ اٹھ گیا، رمضان المبارک کے آخری عشرہ میں مولانا محمد ابراہیم صاحب بلیاوی صدر مدرس دارالعلوم دیوبند نے وفات پائی مرحوم اس دور کے نامور عالم دین اور صاحب تقویٰ بزرگ تھے تقریباً نصف صدی تک دینی علوم کے درس کی خدمت انجام دی اور ان کے چشمۂ فیض سے ہزاروں تشنگان علم سیراب ہوئے، ان کی وفات سے علم و عمل، درس و تدریس اور تدین و تقویٰ کی ایک بڑی یادگار مٹ گئی اﷲ تعالیٰ ان کے مدارج بلند فرمائے۔
(شاہ معین الدین ندوی، جنوری ۱۹۶۸ء)

The Values of Social Education in the Quran and its Relevance to The Social Character Building For Children

This study aims to find the values ​​of social educational contained in the Qur'an. This research is a qualitative research in the form of library research. The focus of the verse is the object and source of primary data of this study, namely various commentaries that explain Surah at-Taubah verses 71-72. While secondary data sources of research is various literatut that are relevant to the subject matter of discussion. To answer the discussion of the research, the writer uses the method of interpretation maudhu'i (thematic). This study concludes that the values ​​of humanistic social education contained in the letter at-Taubah verses 71-72 include attitudes of helping to help, an invitation to the good and preventing munkar, social solidarity, brotherhood. These values ​​can be a spirit of  social education in forming empathy, mutual care, protection, tolerance and high social solidarity. The four values ​​of social education can be actualized in the context of the planting of social education in children through various things, among others, the cultivation of a noble mentality in children can be realized in the planting of brotherly values ​​and help children. Furthermore, the cultivation of a spirit of attention to the rights of others and a commitment to social ethics can be realized through the inculcation of the value of social solidarity. Then, inculcation of critical and social supervision can be realized by instilling the value of amar makruf nahi munkar.

Development of a Group Nonverbal Intelligence Test for Youth

Intelligence is an all encompassing ability of human personality with myriad implications on the overall success of life outcomes including academic achievements, professional success, quality of life and social wellbeing. The concept of right person for the right job is the real essence of ability testing and human resource induction as the evaluation of true potentials can help placement of individuals according to their intellectual functioning to improve their chances of success in life. A critical challenge, in assessment of intelligence has been the level of educational background, language proficiency and age specification. Thus, in order to develop a culture fair and culture free test, nonverbal intelligence testing has been acclaimed a psychometrically viable method in the field of intelligence testing and measurement. The present study was therefore, designed to develop a group nonverbal intelligence test for Pakistani youth with age ranges 15 to 24 years and labeled as Group Nonverbal Intelligence Test for Youth (GNVITY). Guided by the theoretical model of fluid intelligence given by Cattell in 1965, the Group Nonverbal Intelligence Test for Pakistani Youth comprised of five subtests: Matrices, Odd one out, Similarities, Series and Analogies, each subscale comprising of geometric and figurative materials; shapes, patterns, symbols and designs. In order to develop a standardized psychometrically sound group nonverbal intelligence test for the measurement of nonverbal intelligence test, four studies were planned following the methodological framework of Hinkin, Tracy, and Enz (1997) for construction of a scale. Study 1 was conducted to generate the items for GNVITY; ascertaining the difficulty level, discrimination power, and to determine the time limit for the administration of the test. In first phase, ability areas, test format and test draft was finalized. Initially 200 items were generated and 150 items were shortlisted in the light of expert opinion, qualitative and content analysis. In second phase, item analysis was carried out to estimate the difficulty level, discrimination power and distracter analysis and thus 54 items were discarded. In third phase, items with difficulty level below 0.30 and above 0.70, discrimination values lower than 0.30 and item to total correlation value less than 0.30 were discarded. This exercise resulted in the final selection of 80 items. In fourth phase, estimation of time limit was carried out and decided to be 30 minutes. xi Study 2 was conducted to find the factorial validity and reliability analysis. The principal axis factoring yielded a single factor loading for five subscales with estimated values; .764, .692, .747, .795, and .735 for Matrices, Odd one outs, Similarities, Series and Analogies suggested uni dimensionality of test. Item total correlation and matrix of correlation showed significant high positive results at p < .001. The reliability studies showed that the three reliability indices: Cronbatch alpha (.92), split half reliability (.90) and test retest reliability (.92) are highly significant at p < .001 indicating that the proposed group nonverbal intelligence test is highly reliable and consistent measure of nonverbal intelligence for the youth. Study 3 was conducted to establish the validity of group nonverbal intelligence test for youth by administering the test on 400 secondary school level students at Inter Services Selection Board (ISSB). The convergent validity was established by correlating the Group Nonverbal Intelligence Test for Youth (GNVITY) scores with Raven Standard Progressive Matrices (RSPM), Verbal Intelligence Test (VIT) and Nonverbal Intelligence Test (NVIT) being used for intelligence testing and screening of candidates for armed services. Results yielded highly positive correlation coefficients all significant at p < .001. The discrimination validity of the test was established by correlating the GNVITY scores with Individual Obstacles (IOs), a measure of physical agility and endurance used at ISSB. As anticipated, no significant results were found between the two measures. The significant high positive correlation between the students test scores and marks in their intermediate and equivalent level examinations give evidence of criterion validity. The F values for three age and grades showed highly significant results at p < .001 supported the hypothesis that there are significant differences in three groups. Study 4 was conducted to establish the norms and grading system. The test was administered on 2000 college level students all over the Pakistan. The mean score of the test was 42.82 and standard deviation was 10.341. Three types of within group norms Percentile, Standard Sores and Deviation IQ were derived and grading system was devised for interpretation of results on comparative grounds. xii Overall the findings show that test is a good measure of nonverbal intelligence for Pakistani youth. Test has good potentials for human resource induction, educational and clinical institutions for estimation of cognitive functioning of Pakistani youth. The GNVITY is relatively free from the confounding of education, language and acculturation, has group administer ability advantage and provides standardized norms for grading and interpretation of results.