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This textbook brings together findings from global research on teaching and learning, with an emphasis on secondary and higher education. The book is unique in that the content is selected in an original way and its presentation reflects the most recent research evidence related to understanding. The book covers and presents themes that are based tightly on worldwide research evidence, scrupulously avoiding opinion or any dependence on the personal experience of the authors. The book starts by reflecting on educational research itself. The four chapters that follow relate the story of the research that shows how all humans learn and the variations within that framework. These chapters offer a tight framework that underpins much of the rest of the text. The next four chapters look at the way school curricula are organised and how the performance of learners can be assessed. They summarise the research evidence related to thinking skills and consider the importance of practical teaching. This is followed by two chapters that draw from the extensive social psychology research on attitude development as it applies in education, and then by two chapters that summarise the research related to major issues of controversy: the performativity agenda and the issue of quality. One chapter looks at the place of statistics in education. The next two chapters look at the evidence that can support or undermine many typical education beliefs, or myths and mirages. Finally, the last chapter brings it all together and looks into the future, pointing to some areas where future research is likely to be helpful, based on current knowledge.

Learning. --- Teaching. --- Education. --- Children --- Education, Primitive --- Education of children --- Human resource development --- Instruction --- Pedagogy --- Schooling --- Students --- Youth --- Civilization --- Learning and scholarship --- Mental discipline --- Schools --- Teaching --- Training --- Didactics --- School teaching --- Schoolteaching --- Education --- Instructional systems --- Pedagogical content knowledge --- Learning process --- Comprehension --- Instruction. --- Schools. --- Assessment. --- Teaching and Teacher Education. --- Learning & Instruction. --- Schools and Schooling. --- Assessment, Testing and Evaluation. --- Public institutions

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Algebra. --- Algebra --- Mathematics --- Mathematical analysis --- Àlgebra --- Matemàtica --- Àlgebra universal --- Algorismes --- Anàlisi combinatòria --- Àlgebra commutativa --- Anàlisi diofàntica --- Anàlisi espinorial --- Anàlisi p-àdica --- Àlgebra multilineal --- Àlgebres associatives --- Àlgebres no commutatives --- Combinatòria (Matemàtica) --- Congruències i residus --- Determinants (Matemàtica) --- Equacions --- Estructures algebraiques ordenades --- Factors (Àlgebra) --- Formes (Matemàtica) --- Interpolació (Matemàtica) --- Logaritmes --- Permutacions --- Representacions d'àlgebres --- Sèries (Matemàtica) --- Successions (Matemàtica) --- Teorema del binomi --- Teoria de grups --- Teoria de nombres --- Teoria de la dualitat (Matemàtica) --- Anàlisi matemàtica

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This book discusses recent developments and the latest research in algebra and related topics. The book allows aspiring researchers to update their understanding of prime rings, generalized derivations, generalized semiderivations, regular semigroups, completely simple semigroups, module hulls, injective hulls, Baer modules, extending modules, local cohomology modules, orthogonal lattices, Banach algebras, multilinear polynomials, fuzzy ideals, Laurent power series, and Hilbert functions. All the contributing authors are leading international academicians and researchers in their respective fields. Most of the papers were presented at the international conference on Algebra and its Applications (ICAA-2014), held at Aligarh Muslim University, India, from December 15–17, 2014. The conference has emerged as a powerful forum offering researchers a venue to meet and discuss advances in algebra and its applications, inspiring further research directions. <.

Statistical science --- Algebra --- Mathematical analysis --- Discrete mathematics --- Mathematical statistics --- Mathematics --- grafieken --- algebra --- reeksen (wiskunde) --- statistiek --- wiskunde

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Mathematics