An Investigation Of Principals’ Social Justice Leadership And Black Male Academic Achievement

Black males in K-12 school systems across the nation continue to face formidable challenges such as low graduation rates, overrepresentation in special education, high out-of-school suspension rates, and underperformance in the classroom (Bryan, 2020; Grace & Nelson, 2019; Johnson & Bryan, 2017; Powell, 2018). Despite decades of research devoted to addressing the educational and social injustices Black males face, many scholars contend that such attention has resulted in minimal change, and a revised narrative for managing the state of Black males is needed (Adedoyin et al., 2019; Carter, 2019; Johnson & Bryan, 2017). Some scholars have insisted that the academic outcomes among racial groups can be addressed through social justice leadership (Ezzani, 2020; Gullo & Beachum, 2019; Ogden, 2017; Theoharis, 2009). Additionally, they contend that social justice leadership of the principal is critical in developing equitable educational opportunities for diverse students (Beachum & Gullo, 2020; Ezzani, 2020; Grogan, 2017; Theoharis, 2009). This quantitative study was to investigate how the level at which principals engage in social justice leadership behaviors is related to Black male academic achievement. Consequently, the study relied on Ajzen’s (1991) Theory of Planned Behavior (TPB) which postulates that intentions to perform various behaviors are subjected to the attitude toward the behavior, subjective norms, and perceived behavioral control. Four research questions guided this study. They were: 1. What is the relationship between the level at which principals engage in school-specific social justice leadership behaviors and Black male Algebra and English 1 EOC performance? 2. What is the relationship between the level at which principals engage in community-minded social justice leadership behaviors and Black male Algebra and English 1 EOC performance? 3. What is the relationship between the level at which principals engage in self-focused social justice leadership behaviors and Black male Algebra and English 1 EOC performance? 4. Can overall social justice leadership behaviors of school principals (school-specific, community-minded, and self-focused) predict Black male Algebra and English 1 EOC performance? The implications for research and practice are that the results of this study provide educational leaders and policymakers with a lens through which strategies could be created to break the cycle of educational racism faced by Black males and students of color. In so doing, challenges related to low graduation rates, overrepresentation in special education, high out-of-school suspension rates, and underperformance in the classroom will be easier to overcom

CA2 Pyramidal Layer

This report contains a gene expression summary of the CA2 pyramidal cell layer (CA2sp), derived from the Allen Brain Atlas (ABA) in situ hybridization mouse data set. The structure's location and morphological characteristics in the mouse brain are described using the Nissl data found in the Allen Reference Atlas. Using an established algorithm, the expression values of the CA2sp were compared to the values of the macro/parent-structure, in this case the pyramidal layer of Ammon’s Horn, for the purpose of extracting regionally selective gene expression data. The genes with the highest ranking selectivity ratios were manually curated and verified. 50 genes were then selected and compiled for expression characterization. The experimental data for each gene may be accessed via the links provided; additional data in the sagittal plane may also be accessed using the ABA. Correlations between gene expression in the CA2sp and the rest of the brain, across all genes in the coronal dataset (~4300 genes), were derived computationally. A gene ontology table (derived from DAVID Bioinformatics Resources 2007) is also included, highlighting possible functions of the 50 genes selected for this report

Facial Motor Nucleus

This report contains a summary of expression patterns for genes that are enriched in the facial motor nucleus (VII) of the medulla. All data is derived from the Allen Brain Atlas (ABA) in situ hybridization mouse project. The structure's location and morphological characteristics in the mouse brain are described using the Nissl data found in the Allen Reference Atlas. Using an established algorithm, the expression values of the facial motor nucleus were compared to the values of its larger parent structure, in this case the medulla, for the purpose of extracting regionally selective gene expression data. The highest ranking genes were manually curated and verified. 50 genes were then selected and compiled for expression analysis. The experimental data for each gene may be accessed via the links provided; additional data in the sagittal plane may also be accessed using the ABA. Correlations between gene expression in the facial motor nucleus and the rest of the brain, across all genes in the coronal dataset (~4300 genes), were derived computationally. A gene ontology table (derived from DAVID Bioinformatics Resources 2007) is also included, highlighting possible functions of the 50 genes selected for this report

Oculomotor Nucleus

This report contains a gene expression summary of the oculomotor nucleus, derived from the Allen Brain Atlas (ABA) in situ hybridization mouse data set. The structure's location and morphological characteristics in the mouse brain are described using the Nissl data found in the Allen Reference Atlas. Using an established algorithm, the expression values of the oculomotor nucleus were compared to the values of the macro/parent-structure, in this case the midbrain, for the purpose of extracting regionally selective gene expression data. The genes with the highest ranking selectivity ratios were manually curated and verified. 50 genes were then selected and compiled for expression characterization. The experimental data for each gene may be accessed via the links provided; additional data in the sagittal plane may also be accessed using the ABA. Correlations between gene expression in the oculomotor nucleus and the rest of the brain, across all genes in the coronal dataset (~4300 genes), were derived computationally. A gene ontology table (derived from DAVID Bioinformatics Resources 2007) is also included, highlighting possible functions of the 50 genes selected for this report

Edinger-Westphal Nucleus

This report contains a summary of expression patterns for genes that are enriched in the Edinger-Westphal nucleus (EW) of the midbrain. All data are derived from the Allen Brain Atlas (ABA) in situ hybridization mouse project. The structure's location and morphological characteristics in the mouse brain are described using the Nissl data found in the Allen Reference Atlas. Using an established algorithm, the expression values of the Edinger-Westphal nucleus were compared to the values of its larger parent structure, in this case the midbrain, for the purpose of extracting regionally selective gene expression data. The highest ranking genes were manually curated and verified. 50 genes were then selected and compiled for expression analysis. The experimental data for each gene may be accessed via the links provided; additional data in the sagittal plane may also be accessed using the ABA. Correlations between gene expression in the Edinger-Westphal nucleus and the rest of the brain, across all genes in the coronal dataset (~4300 genes), were derived computationally. A gene ontology table (derived from DAVID Bioinformatics Resources 2007) is also included, highlighting possible functions of the 50 genes selected for this report. 
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The 3D Spin Geometry of the Quantum Two-Sphere

We study a three-dimensional differential calculus on the standard Podles quantum two-sphere S^2_q, coming from the Woronowicz 4D+ differential calculus on the quantum group SU_q(2). We use a frame bundle approach to give an explicit description of the space of forms on S^2_q and its associated spin geometry in terms of a natural spectral triple over S^2_q. We equip this spectral triple with a real structure for which the commutant property and the first order condition are satisfied up to infinitesimals of arbitrary order.Comment: v2: 25 pages; minor change

Cerebellar Cortex, Purkinje Cell Layer

This report contains a summary of expression patterns for genes that are enriched in the Purkinje cell layer (CBXpu) of the cerebellum. All data is derived from the Allen Brain Atlas (ABA) in situ hybridization mouse project. The structure's location and morphological characteristics in the mouse brain are described using the Nissl data found in the Allen Reference Atlas. Using an established algorithm, the expression values of the CBXpu were compared to the values of its larger parent structure, in this case the cerebellar cortex, for the purpose of extracting regionally selective gene expression data. The highest ranking genes were manually curated and verified. 50 genes were then selected and compiled for expression analysis. The experimental data for each gene may be accessed via the links provided; additional data in the sagittal plane may also be accessed using the ABA. A gene ontology table (derived from DAVID Bioinformatics Resources 2007) is also included, highlighting possible functions of the 50 genes selected for this report. 
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Dentate Gyrus

This report contains a gene expression summary of the dentate gyrus (DG), derived from the Allen Brain Atlas (ABA) _in situ_ hybridization mouse data set. The structure's location and morphological characteristics in the mouse brain are described using the Nissl data found in the Allen Reference Atlas. Using an established algorithm, the expression values of the dentate gyrus were compared to the values of the macro/parent-structure, in this case the hippocampal region, for the purpose of extracting regionally selective gene expression data. The genes with the highest ranking selectivity ratios were manually curated and verified. 50 genes were then selected and compiled for expression characterization. The experimental data for each gene may be accessed via the links provided; additional data in the sagittal plane may also be accessed using the ABA. Correlations between gene expression in the dentate gyrus and the rest of the brain, across all genes in the coronal dataset (~4300 genes), were derived computationally. A gene ontology table (derived from DAVID Bioinformatics Resources 2007) is also included, highlighting possible functions of the 50 genes selected for this report

Anterior Olfactory Nucleus

This report contains a gene expression summary of the anterior olfactory nucleus (AON), derived from the Allen Brain Atlas (ABA) in situ hybridization mouse data set. The structure's location and morphological characteristics in the mouse brain are described using the Nissl data found in the Allen Reference Atlas. Using an established algorithm, the expression values of the AON were compared to the values of the macro/parent-structure, in this case the olfactory areas, for the purpose of extracting regionally selective gene expression data. The genes with the highest ranking selectivity ratios were manually curated and verified. 50 genes were then selected and compiled for expression characterization. The experimental data for each gene may be accessed via the links provided; additional data in the sagittal plane may also be accessed using the ABA. Correlations between gene expression in the AON and the rest of the brain, across all genes in the coronal dataset (~4300 genes), were derived computationally. A gene ontology table (derived from DAVID Bioinformatics Resources 2007) is also included, highlighting possible functions of the 50 genes selected for this report