Accessible Algebra
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| Author | : Anne Collins |
| Publisher | : Taylor & Francis |
| Total Pages | : 240 |
| Release | : 2023-10-10 |
| Genre | : Education |
| ISBN | : 1003840892 |
Accessible Algebra: 30 Modules to Promote Algebraic Reasoning, Grades 7-10 is for any pre-algebra or algebra teacher who wants to provide a rich and fulfilling experience for students as they develop new ways of thinking through and about algebra.' The book includes 30 lessons that identify a focal domain and standard in algebra, then lays out the common misconceptions and challenges students may face as they work to investigate and understand problems.' Authors Anne Collins and Steven Benson conferred with students in real classrooms as the students explained what problem-solving strategies they were using or worked to ask the right questions that would lead them to a deeper understanding of algebra. Each scenario represents actual instances of an algebra classroom that demonstrate effective teaching methods, real-life student questions, and conversations about the problems at hand. 'Accessible Algebra' works for students at every level. In each lesson, there are sections on how to support struggling students, as well as ways to challenge students who may need more in-depth work. There are also numerous additional resources, including research articles and classroom vignettes.
| Author | : Dan Kalman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 509 |
| Release | : 2019-08-02 |
| Genre | : Mathematical analysis |
| ISBN | : 1470450011 |
Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.
| Author | : Judy Storeygard |
| Publisher | : Heinemann Educational Books |
| Total Pages | : 248 |
| Release | : 2009 |
| Genre | : Effective teaching |
| ISBN | : |
Teaching mathematics to a range of learners has always been challenging. With the widespread use of inclusion and RTI, having a variety of effective teaching options for students who struggle is more important than ever. In My Kids Can, you'll get instructional strategies that allow all struggling math learners to move along the path toward grade-level competency. In My Kids Can teachers share successful ways to work with struggling students. Their instruction is aligned with the NCTM standards and guided by five powerful core principles. Make mathematical thinking explicit. Link assessment and teaching. Build understanding through talk. Expect students to take responsibility for their own learning and support them as they do. Work collaboratively with special education staff to plan effective instruction. These teachers describe how they use whole-group, small-group, and individual instruction as well as other strategies that hold kids to high expectations while scaffolding content and processes across the math curriculum. In addition, an accompanying DVD presents classroom footage of their teaching and includes the language, dialogue, and teaching moves you'll adapt for success with your students. The DVD also contains teacher interviews that answer difficult questions of practice. Best of all, with professional learning questions and video analyses, My Kids Can is great for individuals, teacher study groups, staff development, and preservice courses. Help every child grow as a mathematician. Trust your fellow teachers for instruction that works. Read My Kids Can and use its proven-effective strategies and its professional supports to build on your students' strengths and address their learning needs.
| Author | : W. E. Deskins |
| Publisher | : Courier Corporation |
| Total Pages | : 660 |
| Release | : 2012-05-24 |
| Genre | : Mathematics |
| ISBN | : 0486158462 |
Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.
| Author | : Steven Dale Cutkosky |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 498 |
| Release | : 2018-06-01 |
| Genre | : Mathematics |
| ISBN | : 1470435187 |
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
| Author | : Anne Collins |
| Publisher | : |
| Total Pages | : 237 |
| Release | : 2017 |
| Genre | : |
| ISBN | : |
Accessible Algebra is for any pre-algebra or algebra teacher who wants to provide a rich and fulfilling experience to students as they develop new ways of thinking through and about algebra. Each of the thirty lessons in this book identifies and addresses a focal domain and standard in algebra, then lays out the common misconceptions and challenges students may face as they work to investigate and understand problems. Anne and Steve met with and listened to students in real classrooms as the students explained what problem-solving strategies they were using or worked to ask the right questions.
| Author | : Charles C Pinter |
| Publisher | : Courier Corporation |
| Total Pages | : 402 |
| Release | : 2010-01-14 |
| Genre | : Mathematics |
| ISBN | : 0486474178 |
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
| Author | : Seth Sullivant |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 490 |
| Release | : 2018-11-19 |
| Genre | : Geometry, Algebraic |
| ISBN | : 1470435179 |
Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets. The algebra/statistics connection is now over twenty years old, and this book presents the first broad introductory treatment of the subject. Along with background material in probability, algebra, and statistics, this book covers a range of topics in algebraic statistics including algebraic exponential families, likelihood inference, Fisher's exact test, bounds on entries of contingency tables, design of experiments, identifiability of hidden variable models, phylogenetic models, and model selection. With numerous examples, references, and over 150 exercises, this book is suitable for both classroom use and independent study.
| Author | : Susan Jo Russell |
| Publisher | : Heinemann Educational Books |
| Total Pages | : 0 |
| Release | : 2011 |
| Genre | : Education |
| ISBN | : 9780325041919 |
"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.
| Author | : Martin Olsson |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 313 |
| Release | : 2016-05-13 |
| Genre | : Mathematics |
| ISBN | : 1470427982 |
This book is an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic geometry at the level of a first-year graduate course. The first several chapters are devoted to background material including chapters on Grothendieck topologies, descent, and fibered categories. Following this, the theory of algebraic spaces and stacks is developed. The last three chapters discuss more advanced topics including the Keel-Mori theorem on the existence of coarse moduli spaces, gerbes and Brauer groups, and various moduli stacks of curves. Numerous exercises are included in each chapter ranging from routine verifications to more difficult problems, and a glossary of necessary category theory is included as an appendix.
