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pearson common core algebra 1: Advances in Mathematics Education Research on Proof and Proving Andreas J. Stylianides, Guershon Harel, 2018-01-10 This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall. |
pearson common core algebra 1: Common Core Mathematics Standards and Implementing Digital Technologies Polly, Drew, 2013-05-31 Standards in the American education system are traditionally handled on a state-by-state basis, which can differ significantly from one region of the country to the next. Recently, initiatives proposed at the federal level have attempted to bridge this gap. Common Core Mathematics Standards and Implementing Digital Technologies provides a critical discussion of educational standards in mathematics and how communication technologies can support the implementation of common practices across state lines. Leaders in the fields of mathematics education and educational technology will find an examination of the Common Core State Standards in Mathematics through concrete examples, current research, and best practices for teaching all students regardless of grade level or regional location. This book is part of the Advances in Educational Technologies and Instructional Design series collection. |
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pearson common core algebra 1: Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers Nicholas H. Wasserman, 2018-12-12 Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics. |
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pearson common core algebra 1: Something in Common Robert Rothman, 2011-10-01 Something in Common is the first book to provide a detailed look at the groundbreaking Common Core State Standards and their potential to transform American education. This book tells the story of the unfolding political drama around the making of the Common Core State Standards for math and English language arts, which were adopted by 43 states and the District of Columbia over a six-month period in 2010, after decades of similar proposals had gone down in flames. As a senior fellow at the major organization promoting the Common Core standards, education writer Bob Rothman gives the reader a bird’s eye view of this unfolding drama and brings the major players to life with lively anecdotes and behind-the-scenes details. He describes the developments leading up to the historic agreement and compares them to earlier efforts. He also explains the content of the standards in depth, describes steps being taken to implement them, and examines how the assessment consortia plan to measure student performance against the new standards. The book is a must-have reference work for researchers, practitioners, school leaders, policy makers, and others interested in contemporary education policy and reform. |
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