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Factors That Facilitate or Hinder Students Learning of Geometry In Pakistani Classroom

Thesis Info

Author

Mustafa, Wassef Ali

Department

Institute for Educational Development, Karachi

Program

MEd

Institute

Aga Khan University

Institute Type

Private

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2006

Thesis Completion Status

Completed

Subject

Education

Language

English

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727935951

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This was a small scale study to understand the factors that facilitate or hinder students' learning of geometry, because within mathematics, geometry teaching and learning has some specific features, which need to be understood. I conducted this study in a private primary school in Karachi, Pakistan. My role in this study was to observe a group of four students of class five. The data which I collected, came from observing students doing their geometry lessons, having pre-and post-observation conversations with the students and the teacher, field notes, audiotapes transcriptions, and children's written work. I also did pre- and post- observation meetings with a group of students and their teacher. Findings of the study show that in a Pakistani primary classroom, many factors facilitate and help children's learning of geometry in the classroom. These facilitative factors include: teacher's questions; clarity of task instructions; use of question-answer approach; use of concrete material; and learning, from peers. Also, there were factors that hindered students' learning such as in-effective usage and quality of geometrical instruments, the representations of the geometrical concepts in the prescribed textbook, and use of body movements. The study provides significant insights into students' learning and raises several implications and recommendations for mathematics teachers and teacher educators.
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صحافت

صحافت
یار صحافت عین عبادت کریئے جے کر سچ دے نال
جان دکھاں وچ پا صحافی بنندے ہین غریب دی ڈھال

جدوں ایہہ خبراں ڈھونڈن ویندے غم اندوہ نیں جردے
ماڑیاں تے مظلوماں اُتے ہتھ شفقت دا دھردے
جابر ظالم حاکم اگے ڈٹ جاندے نہ ڈردے
خوف ذرا نہ کھاندے ویکھو کردے صدق مقال

شہر محلے کوچہ کوچہ ہر جا ویکھو جاندے
ظالم لوگ غریباں تائیں حدوں ودھ ستاندے
مرہم زخم غریباں دے تے ہین صحافی لاندے
حق دی گل نیں کردے نالے رہندے حق دے نال

دفتراں اَتے کچہریاں وچ، کدی پھردے رہن بزاراں
سجریاں تازیاں خبراں ڈھونڈ کے چھاپن وچ اخباراں
چنگیاں مندیاں خبراں پڑھ کے پرچن دل ہزاراں
پنچھیاں وانگ توکل رب تے رہندے نیں خوشحال

یار صحافی چنگے نیں، ایہہ بولن بول رسیلہ
دکھیاں تے دکھیاراں دا ایہہ بن دے ہین وسیلہ
راہ ڈکن ایہہ اَگوں بھانویں ہووے شیر مریلہ
جس دے نال ایہہ دل تھیں ٹردے دکھڑے دیندے ٹال

اللہ سوہنے رزق انہاندا لکھیا کس بہانے
مالک روزی ہر نوں دیندا ، بھولے تے مستانے
کر مزدوری تے کھا چوری، کہہ گئے مرد ربانے
منگو یار دعاواں سب نوں لبھے رزق حلال

قادریؔ جی اخبار دی خدمت عزت بہت بناندی
عزت، شہرت ، دولت تائیں غربت شان گنواندی
اللہ سوہنا راضی تھیوے جتھے پیش نہ جاندی
خوفِ خدا تھیں روندیاں نوں تے بخشے گا ذوالجلال

Use of Barcode Based Traditional Games in Improving Student Learning Outcomes in Learning Citizenship Education (Ppkn)

This study collaborates between traditional games and technology. The purpose of this study was to improve student learning outcomes in PPKN (Citizenship Education) learning through barcode-based traditional games tumbawa. This type of research is classroom action research. This research was conducted because based on preliminary observations, the results of students' daily tests in PPKn learning were still low, from 25 students, 25 students, only 12 people or 48% had good learning outcomes. The procedures used in this study consisted of planning, implementing, observing, reflecting. This research was conducted in two cycles of action. The data collection methods used were tests, observation, interviews, and documentation. In analyzing the data used a qualitative descriptive method assisted by the calculation of the percentage. The targeted research output is the national journal published in the internationally accredited journal 5. The level of technology readiness used is in the field of education (TKT 2). This research is expected to create a learning atmosphere and a learning process that attracts students' attention so that it provides better learning achievement than before.

Investigation of Natural Radioactivity in Environmental and Building Material Samples from Selected Locations of Azad Jammu and Kashmir, Pakistan.

Exposure to the natural radioactive background radiations is unavoidable on the planet earth, which results in adverse health effects, even leading to the fatal cancer. In this context, an investigation of natural background radiation was carried out for environmental and building material samples in Muzaffarabad and Poonch divisions of the State of Azad Jammu and Kashmir. Multivariate techniques were employed for radiation data analysis and assessment of the environmental radiological status of the study area along with scrutinizing the suitability of the building materials used for construction purposes. In initial phase of the study, spring and Well water samples were collected from Muzaffarabad city and its outskirts, whereas sand and sediment samples were collected from riverbanks of Jehlum, Neelum and Kunhar rivers. Soil and rock samples were taken from Leepa Valley. Decorative stone samples were taken from different geological formations of Azad Jammu and Kashmir, whereas gamma dose rates in air were measured in Poonch division of the state and finally machine learning technique was used to determine the best suitable radionuclide for classification of rocks. Spring and well water samples from the study area were investigated for water borne radon activity (WBRnA). WBRnA was measured in a total of 101 water samples including 60 springs and 41 Well water samples, using RAD7 alpha spectrometer. Mean values of WBRnA in spring and Well water samples were found to be 10.16 ± 2.42 and 4.21 ± 0.13 Bq L-1, respectively. It is found that 33.33% of spring and 7.32% of Well water samples values were above the recommendation level (̴ 11.1 Bq L-1) proposed by United States Environmental Protection Agency (USEPA). Mean values of inhalation and ingestion doses were computed and found to be 0.26 ± 0.0039 mSv y-1 and 2.13 ± 0.033 mSv y-1, for spring water and 0.106 ± 0.00324 mSv y-1 and 0.884 ± 0.027 mSv y-1 for Well water samples, respectively. Total annual effective dose due to WBRn was found to be 2.16 ± 0.008 mSv y-1 and 0.89 ± 0.027 mSv y-1, for spring and Well water samples respectively. Mean value of excess lifetime cancer risk (ELCR) for spring and Well water samples, was computed to be 7.56 × 10-3 and 3.13 × 10-3, respectively, which are much higher than the upper bound of 0.1 × 10-3 for drinking water, as proposed by USEPA. Radon exhalation rate (RER) was measured for sand and sediment sample and was found to be 335 mBq m-2 h-1 and 259.21 mBq m-2 h-1, respectively. Gamma dose rates in air were measured, in Poonch Division, using Thermo-luminescent dosimeters (CaF2: Dy (TLD-200) card dosimeters) and NaI(Tl) survey meter for the estimation of excess lifetime cancer risk (ELCR) along with inter-comparison of active and passive techniques. An empirical relationship was developed to get annual gamma dose rate estimates from TLDs based six-month data. Mean annual effective dose equivalent (AEDE) was obtained as 0.298 mSvy-1 from TLDs and 0.175 mSv y-1 from NaI(Tl) detector; both values are less than the worldwide average annual effective dose (0.48 mSv y-1). Gamma doses obtained by TLDs are higher than those measured by the survey meter. Mean values of ELCR obtained from TLDs and the survey meter results, were found to be 9.85 ×10-4 and 5.77 ×10-4, respectively and these values are higher than the worldwide average value of 0.29 ×10-3. High Purity Germanium (HPGe) based gamma spectrometric system was used for the measurement of radioactivity in different environmental samples. Mean gamma activities of 226Ra, 232Th, 40K in sand; sediment; soil; rock; and decorative stone samples were found to be 48.25 ± 1.77, 44.58 ± 3.34 and 239.92 ± 22.73 Bq kg-1; 36.91 ± 1.12, 61.57 ± 2.81and 557.33 ± 19.81 Bq kg-1; 31.25±0.46, 44.1±1.07 and 575 ± 8.89 Bq kg-1; 28.46 ± 0.45, 48.63 ± 1.12 and 666.7 ± 9.39 Bq kg-1; and 37.32 ± 0.38, 38.57 ± 0.74 and 465.62 ± 5.35 Bq kg-1, respectively. Radium equivalent activity (Raeq) for these types of samples was found to be 130.47 ± 8.29; 167.88 ± 6.66; 143.16; 142.93; and 126.30 ± 1.79Bq kg-1, respectively. In all cases, Raeq is less than allowed upper limit of 370 Bq kg-1 as given in Organization of Economic Cooperation and Development (OECD) report (1979). Mean estimates ofhazard indices, which include external hazard index (Hex), internal hazard index (Hin), gamma index (Iᵞ) and alpha index (I a ) in all cases were found to be less than unity except representative index (Ir) having mean value (1.23 ± 0.04) greater than unity for sediment samples only. Gamma ray absorbed dose rate (mean values) in sand; sediment; soil; rock; and decorative stone samples was estimated to be 59.22 ± 3.78; 77.49 ± 3.04; 69.78; 70.01; and 59.09 nGy h-1, respectively. For the sand samples, dose rates are comparable with the worldwide average value of 59 nGy h-1, whereas for all other types of samples, dose rates are higher than this value. Mean values of annual effective dose equivalent (AEDE) for these material samples were computed to be 0.363 ± 0.023; 0.48 ± 0.02; 0.410 ± 0.008; 0.436 ± 0.008; and 0.36 mSv y-1, respectively. These AEDE values are comparable with worldwide average value of 0.48 mSv y-1 but lower than the ICRP (ICRP103, 2007) proposed Reference Level (1-20 mSv y-1). Annual gonadal equivalent dose (AGED) was also calculated for the same sample types and found to be 410.77 ± 26.56; 546.445; 461.351 ± 8.683; 500.60 ± 9.03; and 431.11 ± 5.92 µSv y-1, respectively. AGED in all cases are higher than the UNSCEAR 2000 proposed limit of 300 µSv y-1. Mean values of ELCR for sand; sediment; soil; rock; and decorative stone samples were assessed to be (1.199 ± 0.077) ×10-3; 1.57 ×10-3; (1.354 ± 0.025) ×10-3; (1.438 ± 0.027) ×10-3; and (1.237 ± 0.017) ×10-3 respectively. Although in all cases, ELCR values are higher than the worldwide average value of 0.29×10-3. Finally, we have used supervised learning algorithms for building prediction and classification models. Radionuclide data, of each rock samples, has been randomly divided into train and test set of different weightages. Our aim of this part of study was to asses which one of radionuclide will be best suitable for the purpose of classification of rocks. This study has identified the best suitable ML method for classification of rock types, using radionuclide data set, in terms of accuracy and other performance measures. In public health perspective, it is concluded that health risks to the population of the study area due to NORMs in the investigated environmental sample are generally insignificant. However, the inhabitants of the study area, are at risk to a certain degree of developing cancer over a period of their life time. In addition, some sediment samples have revealed elevated levels of hazard indices and effective doses, therefore, such sediments should be prohibited to be used as buildingnmaterials.