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Non-Symbolic and Symbolic Numerical Cognition: A Cross-Cultural Perspective

Thesis Info

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Author

Khanum, Saeeda

Supervisor

Rubina Hanif

Program

PhD

Institute

Quaid-I-Azam University

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Subject

Philosophy & psychology

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/7371/1/Final%20Thesis%20Saeeda%20Khanum.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725321846

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Present study hinges upon a very critical question that is whether approximate number system plays foundational role in symbolic math or not? More specifically in current research it has been tried to explore the causal relationship between non-symbolic and symbolic numerical cognition through a brief training paradigm. Research evidence of past decades has shed light on the relationship between non-symbolic and symbolic numerical cognition through neuroscience, neuropsychological, correlational and indirect research evidences. However there was no research evidence specifying the causal relationship between the two directly. To bridge this gap present study was carried out in an effort to disentangle this relationship through training study with first grade children who are at the very first step of connecting these two systems through class mathematics learning. This research study has been divided in two phases. Phase 1 of the study comprises of four experiments (i.e; experiment 1: N= 48; experiment 2, N=48; experiment 3, N=24; experiment 4, N= 24) conducted with American first grade children. Phase 2 of study comprises of two experiments conducted with Pakistani first grade children (experiment 1, N= 48; experiment 2, N =72). In both, phase1 and 2 children were trained with different training conditions (non-symbolic approximate addition, brightness comparison, line length addition and non-symbolic approximate comparison) and were post tested on symbolic addition (in experiment 1,3,4 of phase 1 and experiment 1 of phase 2), sentence completion task(experiment2 of phase1) and number line placement (experiment 2 of phase 2). Results across different experiments of both phases of study revealed that training with non-symbolic approximate addition and non-symbolic approximate comparison give the children advantage to perform better on symbolic math and number line placement task as compare to control conditions in terms of speed and accuracy. Research evidence indicates that non-symbolic numbers played foundational role in enhancing children performance on symbolic addition, number line placement and that this effect was specific to the domain of mathematics. xi Furthermore, training effect got replicated and extended with Pakistani sample belonging to a totally different cultural context. Results indicate that longitudinal training with nonsymbolic approximate numbers might be helpful to improve children symbolic math and might also be helpful for children with math learning difficulties.
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استفہام کے معانی و مفاہیم

استفہام کے معانی و مفاہیم

لفظ استفہام باب فہم یفہم کے وز ن استفعال کا مصدر ہے، جس کے لغوی معنیٰ’’دریافت کرنا، سمجھنے کی خواہش کرنا،پوچھناَ ہیں۔[[1]]

ابن منظور افریقی لفظ استفہام سے متعلق لکھتے ہیں:

 استفہام سے مراد "کسی چیز کو سمجھنا اور سمجھانا ہے۔"[[2]]

اصطلاح میں استفہام سے مراد ہے کہ:

"نا معلوم چیز کو ادوات استفہام سے جاننے کی کوشش کرنا"۔[[3]]



 [[1]]     فیروز الدین مولوی،فیروز اللغات،فیروزسنز، لاہور، ۴ ۲۰۱ء،ص۹۱۔

 [[2]]     افریقی ،ابن منظور ،محمد بن مکرم ،مکتبہ دار صادر،بیروت، ۲۰۱۰ء، مادة ف ه م۔

 [[3]]     ابن فارس،احمد بن فارس بن زکریا الرازی، الصاحبى فى فقه اللغة العربية ومسائلھا وسنن العرب فی کلامھا،تحقیق: ڈاکٹر مصطفیٰ الشواعی،دارالکتب العلمیہ،بیروت،۱۹۶۴ء، ص۱۸۱۔

عناية أئمة النقد الحديثي بفقه الحديث

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Synthesis and Characterization of Novel Polyamidoximes, Polyamides, Poly Amide-Imide S and Poly Ester-Amide S and Their Applications for the Removal of Metal Cations from Aqueous Solutions

Novel polyamidoximes, poly(amide-imide)s, poly(ester-imide)s along with crosslinked polyamidoximes and polyamides have been reported in this thesis. The foremost goal of the current research endeavor is to design some new adsorbents dealing with adsorption of heavy metal cations, with excellent thermal resistance. The designed monomers (2,6-bis(4-chloroformylphenoxy)benzonitrile, 2,6-bis(4aminophenoxy) benzonitrile, 5-(5-carboxy-1,3-dioxoisoindolin-2-yl) isophthalic acid)bearing pre-formed linkages were synthesized and employed for the novel polymer synthesis.Monomer synthesis was confirmed using FT-IR and NMR spectroscopic analysis while polymer formation confirmed by molecular weight (GPC), XRD and TGA data study. Condensation polymerization was used for the fabrication of polymeric materials. In cross-linked polymers much better crystallinity in addition to boost in thermal resistance was noted. The incorporation of various linkages with more electronegative centers provided polymers with high molecular weights, improved crystalline nature, advanced thermal stability and efficient adsorption capacity. The effect of numerous groups towards adsorption capacity of Cd+2 and Pb+2 was scrutinized following a thorough study of adsorption by batch process. Effects of variable pH, contact time, amount of adsorbent and concentration of adsorbate were deliberately studied with a maximum uptake at pH 6 and 3h of contact time. AAS provided information about the metal ion concentration in the media before and after the adsorption process. The adsorption process was found to be favorable following the Langmuir adsorption isotherm as compared to Freundlich, thus giving an insight to monolayer adsorption over a range of concentration studied. Their ease in formation, high molar mass, heat stability and metal binding ability depict their compliance, rendering them a key material in future polymer science.