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This paper presents basic neuropedagogical content knowledge )N-PCK( on the development of mathematical understanding in early childhood, in order to enable early childhood educators to understand neurological findings on mathematical development in the brain in an informed way and apply these findings to educational practice. The paper presents seven neuropedagogical principles surrounding mathematical development in early childhood, together with insights and practical examples that can be used to impact early childhood education. This review might also be used by teacher educators teaching courses on early numeracy, and as a basis for future research in this field. [ABSTRACT FROM AUTHOR]

Copyright of Hebron University Research Journal (Humanities) is the property of Hebron University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of the College Of Basic Education is the property of Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of the College Of Basic Education is the property of Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Dirasat: Educational Sciences is the property of University of Jordan and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of IUG Journal of Educational & Psychological Studies is the property of Islamic University of Gaza and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Zarqa Journal for Research & Studies in Humanities is the property of Zarqa Journal for Research & Studies in Humanities and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Hebron University Research Journal (Humanities) is the property of Hebron University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Umm Al-Qura University Journal of Educational & Psychological Sciences is the property of Association of Arab Universities and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of the College Of Basic Education is the property of Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

In the field of image processing, there is an urgent need to adopt image transformations. In this paper, work is done on image coefficients after decomposing them through Curvelet transformations obtained through the fan filter. The research deals with two stages: the first is to study the effect of the Fan filter by adopting angles (8, 16, 32) on the image (Lina.jpg) of size (256*256) after being analyzed using Curvelet transformations at scales (2,3,4) through comparing a set of measurements (Contrast, Energy, Correlation, MSE, and PSNR) for both the original and reconstructed images. It can be found that Contrast and Energy criteria remain the same for the original and reconstructed images according to different levels of analysis or directions, so the value of the Correlation measure is 1. The value of the MSE criterion is very small and is almost not affected by the change of the number of angles in one scale, but it is slightly affected by increasing the scale analysis. What was mentioned above applies to the PSNR criterion as well. As for the second stage of the research, which included decomposing the image to its coefficients, canceling the effect of one of these coefficients, and then reconstructing it. The results proved that the two criteria (Contrast and Energy) were not affected with falling Correlation criteria from 1 to values ​​ranging from (0.9987_0.9997) depending on the number of scales used in the Curvelet analysis and the number of angles used in Fan filter (8,16,32). The results also showed an increase in the MSE value when dropping some frequencies, and a corresponding decrease in the PSNR value. Whereas, the decrease in the MSE scale was demonstrated at a specific scale with the increase in the number of angles in the Fan filter, in contrast to the PSNR scale.

In this paper, we studied and applied a modern numerical method, which is combining Sumudu transform with Adomian decomposition Method to obtain approximate solutions of the nonlinear the Coupled Drinfeld– Sokolov–Wilson (DSW) system. Positive and negative values of the variable x and various values of the variable t were taken with the initial conditions of the system as well as the values of the parameters . The efficiency of the method was verified, as the results obtained were compared with the accurate solution of the system. We noticed that the results are very accurate and the effectiveness of the method was confirmed.

This paper investigated a modified integral transform method used to solve heat equation in cylindrical coordinate, this modification method has been obtained based on integral transform (x-coordinate), we expand integral transform (x-coordinate) to integral transform (x,y,z,t-coordiantes) and convert it to cylindrical coordinate denoted by integral transform (r,θ,z,t-coordinates). Finally we used integral transform to solve heat equation in cylindrical coordinate.

This paper presents some games via 𝔾-g-open sets by using the concept of grill topological space which is Ɠ(Ŧi, 𝔾), where 𝑖={0, 1, 2}. By many figures and proposition, the relationships between these types of games have been studied with explaining some examples.

The research deals with the intelligent irrigation system using the Internet of Things (IoT) via Low cost and low power system on chip microcontrollers including integrated Wi-Fi with dual-mode Bluetooth ESP32. The objectives of this project are to investigate the concept of an intelligent irrigation system using the Internet of Things, to develop a system using the aforementioned controller that processes data from the soil sensor that automatically irrigates the plant and analyzes the soil status of the plants. In real-time via the smartphone connected to the Internet. The study scope focuses on cropping and horticulture. Sensors had to be installed for each plant as it was necessary to know the condition of the soil. A water pump must also be added to each plant to save water. This project requires the Blynk application which is a platform with IOS and Android apps to control Arduino, Raspberry Pi and the likes over the Internet. It’s a digital dashboard where you can build a graphic interface for your project by simply dragging and dropping widgets. Software on smartphone and hardware implementation which can detect environment condition using (DHT22: Temperature and Humidity sensor) sensor and soil moisture sensor. The results of this paper are based on the experiments performed.

Classification is widely and largely used in data analysis, and pattern recognition. The data analysis aims to discover similarities between them and group them based on similarity into multiple classes. Artificial intelligence techniques are characterized by their great ability to classify objects and classify images. In this research, some artificial intelligence algorithms, represented by swarm optimization algorithms, were used to detect and classify plant diseases to healthy and unhealthy through images of different leaves of plants. Where plants are considered one of the most important organisms on this planet because of their important and fundamental role in the continuation of life and in achieving environmental balance, as well as in the economic side in many countries, and other benefits of high importance. These plants are apt to many different diseases. As a result of the technological development that the world witnessed in various areas of life, it was necessary to make use of it in the field of plant disease diagnosis, as many artificial intelligence techniques were employed in the discovery and diagnosis of plant diseases. In this paper, a new method is proposed to classify and distinguish a group of eight different plants to healthy and unhealthy based on the leaf images of these plants They are apples, cherries, grapes, peaches, peppers, potatoes, strawberries, and tomatoes using a hybrid optimization algorithm. In the first stage, the plant leaf images were collected and pre-processed to remove noise and improve contrast. In the second stage, the features were extracted based on the statistical feature extraction method, while in the third stage, the particle swarm (PSO) and chicken swarm optimization(CSO) algorithms were used to diagnose and classify plant diseases. Then these two algorithms were combined to produce a proposed hybrid algorithm called (PSO-CSO) hybrid method. The results obtained from these three algorithms were compared and the proposed method (PSO-CSO) obtained the best results compared to the two methods. Where the proposed method obtained in the first and second tests a diagnostic rate of (96.9%) and (98.18%), respectively.

In this paper, we determine sufficient conditions, distortion properties and radii of starlikeness and convexity for functions The hypergeometric meromorphic functions have certain formula in the punctured unit disk which contains in new subclass.

The n-Hosoya polynomial of a connected graph G of order t is defined by: Hn (G;x) = ∑ Cn (G;x) xk, where, Cn(G,k) is the number of pairs (v,S), in which |S| = n -1, 3 ≤ n ≤ t, v ∈ V(G) , S ⊆ V (G) , such that dn(v,S) = k , for each 0 ≤ k ≤ δn. In this paper, we find the n-Hosoya polynomial of the square of a path and of the square of a cycle. Also, the n-diameter and n-Wiener index of each of the two graphsare determined

In this paper, the Banach contraction method (BCM) was hybridized with the base of the trapezoid (TR) to solve non-linear partial differential equations. The results obtained from (BCM) were improved by (TR). The results obtained from (BCM -TR) proved the efficiency of this method compared to the default method (BCM). This was done by calculating the mean0square0error (MSE) and estimating the absolute0maximum0error (MAE).

In this paper, we studied a flow of fluid in a pipe under the effect of electromagnetic field in a polar coordinate, be done build a mathematical model which represented by system of two dimensional non-linear partial differential equations and we solved it by using Alternating Directions Implicit method (ADI) which is one of the finite differences method, and from the numerical solution indicated the behavior of temperature distribution inside the pipe, be done explication the influence of Rayleigh number and Prandtl number as well as the influence of Eckert number upon the behavior of temperature distribution are also done through the energy equation in polar coordinate, we arrived to steady state from unsteady state, we find the behavior of fluid flow inside the pipe and also we studied the influence of Hartmann number upon the behavior of fluid flow in pipe and all this done through the motion equation in polar coordinate.

The aim of this paper is to find polynomials related to Schultz, and modified Schultz indices of vertex identification chain and ring for hexagonal rings (6 – cycles). Also to find index and average index of all of them.

The important and common applications of process capability indices (PCI’s) is the process capability ratio and the process capability index , and the use of these measures in practical applications is based on the assumption that the process is under statistical control and that the outputs of that process follow the normal distribution. In practice, however, there are many cases in which the outputs of the process are not follow normal distribution, in such cases, calculating PCI’s will lead to misleading results. In this paper, the non-normal production process capability was evaluated. The evaluation process was conducted using four methods: The first method involved the use of Box-Cox power transformation to normal distribution of data and then calculating indicators of the capability process by traditional methods. The second method is by using the weighted variance method, and the third method is by using the Clements’ method based on the percentiles calculation of data, and the fourth method is based on the use of the Darling-Anderson goodness of fit test to accommodate some of the probability distributions of the original data, this test shows that the log-normal distribution is the most appropriate distribution for the data The results showed that although the process is stable and under statistical control, it is not capable based on the value of the process capability index that did not exceed (65%), as the percentage defect units, which is outside the specifications, is large and located between (3.6%) and (13.4%). The results also showed that there is a convergence in the results of the PCI’s calculated by all methods, and that the Clements’ method is the best method as it gives the highest values ​​for the PCI’s. The research recommended studying and calculating other PCI’s like, , , and CMA(τ,v). One of the recommendations for future research and studies is to do a theoretical study to compare the mentioned methods and choose the best ones based on some statistical criteria.

This research paper includes designing and implementing of an Electronic system for managing theses of College of Computer Science and Mathematics, University of Mosul, using replication, C # language and MS SQL Server 2008 databases to be a stable work basis that can be relied upon in the departments’ work as it facilitates the higher administrative bodies in the departments and the deanship Obtaining the required results quickly and accurately, which facilitates and contributes to making the right decisions at the appropriate time and required with the ease of preparing special reports for each student, lecturer and thesis and printing them which it will help the departments head and the scientific committee to complete them if requested, as well as provide various statistics, and to improve administrative efficiency for thesis, the problem of losing thesis data and preserving it from human and natural disasters has been overcome by applying the principle of replication.

Copyright of Arab Journal of Science & Research Publishing is the property of Mussasat Al-Majallah Al-Arabiyah lil-Ulum Wa-Nashr Al-Abhath and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of Mu’tah Lil-Buḥūth wad-Dirāsāt: Humanities & Social Sciences Series is the property of Mutah University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of the College Of Basic Education is the property of Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Umm Al-Qura University Journal of Educational & Psychological Sciences is the property of Association of Arab Universities and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Dirasat: Educational Sciences is the property of University of Jordan and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of Tikrit University for Humanities is the property of Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)