Teaching Mathematics

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  • Early childhood education has risen to the top of the national policy agenda with recognition that ensuring educational success and attainment must begin in the earliest years of schooling. There is now a substantial body of research to guide efforts to support young children’s learning. Over the past 15 years, great strides have been made in supporting young children’s literacy. This report summarizes the now substantial literature on learning and teaching mathematics for young children in hopes of catalyzing a similar effort in mathematics....

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  • Learning mathematics in the middle grades is a critical component in the education of our nation’s youth. The mathematics foundation laid during these years provides students with the skills and knowledge to study higher level mathematics during high school, provides the necessary mathematical base for success in other disciplines such as science, and lays the groundwork for mathematically literate citizens. A variety of evidence suggests that the mathematics education landscape is shifting and evolving rapidly....

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  • This paper proposes an inquiry model for improving the teaching of mathematics based on the practice of lesson study. This model provides both pre-service and in-service mathematics teachers with multiple pathways for designing a mathematics lesson plan. The result of this research plays an important role in determining if the model is effective in helping teachers to develop their professional expertise.

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  • Mathematics is the science study of the number, structure, and spatial transformations. In other words, it is assumed that subjects' shape and number. "According to the official view, it is the study of the abstract structure defined from the axioms, using Logic (logic) and mathematical symbols. The other point of it is described in mathematical philosophy. Due to their wide applications in many science, mathematics is known as the "universal language". Experts in the field of mathematics known as mathematicians....

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  • Number puzzles, spatial/visual puzzles, cryptograms, Sudoku, Kokuro, logic puzzles, and word games like Frame Games are all a great way to teach math and problem-solving skills to elementary and middle school students. In these two new collections, puzzle master Terry Stickels provides puzzles and brain games that range from simple to challenging and are organized by grade level and National Council of Teachers of Mathematics (NCTM) content areas. Each book offers over 300 brain games that will help students learn core math concepts and develop critical thinking skills.

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  • Game theory is a mathematical system for analyzing and predicting how humans behave in strategic situations. Standard equilibrium analyses assume all players: 1) form beliefs based on analysis of what others might do (strategic thinking); 2) choose a best response given those beliefs (optimization); 3) adjust best responses and beliefs until they are mutually consistent (equilibrium).

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  • This is an intermediate level post-calculus text on mathematical and statistical methods, directed toward the needs of chemists. It has developed out of a course that I teach at the University of Massachusetts Dartmouth for thirdyear undergraduate chemistry majors and, with additional assignments, for chemistry graduate students.

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  • Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations. I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes.

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  • mathematical optimization least-squares and linear programming convex optimization example course goals and topics nonlinear optimization brief history of convex optimization

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  • Tham khảo sách 'contemporary mathematics', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • The purpose of this book is to bring together readings which explore the culture of learning in a mathematics classroom. These readings show how knowledge of this culture assists teachers and learners to improve the teaching and learning of mathematics and to address concerns of social justice and the need for equity.

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  • Mathematics in Action: Algebraic, Graphical, and Trigonometric Problem Solving, Fourth Edition, is intended to help college mathematics students gain mathematical literacy in the real world and simultaneously help them build a solid foundation for future study in mathematics and other disciplines. Our team of fourteen faculty, primarily from the State University of New York and the City University of New York systems, used the AMATYC Crossroads standards to develop this threebook series to serve a very large population of college students at the pre-precalculus level.

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  • Rediscovering Mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics. By focusing on problem solving, and discouraging rote memorization, the book shows how to learn and teach mathematics through investigation, experimentation, and discovery. Rediscovering Mathematics is also an excellent text for training math teachers at all levels

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  • The curriculum vitae of Alice Turner Schafer lists two specializations: abstract algebra (group theory) and women in mathematics. As early as her high school years Alice exhibited a love for mathematics and an interest in teaching as a career. As a mathematics educator she championed the full participation of women in mathematics.

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  • (BQ) Ebook Project Origami activities for exploring mathematics presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities.

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  • The term reform-oriented teaching describes a collection of instructional practices that are designed to engage students as active participants in their own learning and to enhance the development of complex cognitive skills and processes. This monograph presents the findings of a multiyear National Science Foundation (NSF)-funded

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  • This book will teach you how to bring together what you know of finance, accounting, and the spreadsheet to give you a new skill—building financial models. The ability to create and unde stand models is one of the most valued skills in business an finance today. It’s an expertise that will stand you in good stea in any arena—Wall Street or Main Street—where numbers ar important. Whether you are a veteran, just starting out on you career, or still in school, having this expertise can give you competitive advantage in what you want to do....

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  • This book is a survey of abstract algebra with emphasis on algebra tinh.Do is online for students in mathematics, computer science, and physical sciences. The rst three or four chapters can stand alone as a one semester course in abstract algebra. However, they are structured to provide the foundation for the program linear algebra. Chapter 2 is the most di cult part of the book for group written in additive notation and multiplication, and the concept of coset is confusing at rst. Chapter 2 After the book was much easier as you go along....

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  • There are many books on linear algebra, in which many people are really great ones (see for example the list of recommended literature). One might think that one does no books on this subject. Choose a person's words more carefully, it can deduce that this book contains everything needed and the best possible, and so any new book, just repeat the old ones. This idea is evident wrong, but almost everywhere. New results in linear algebra and are constantly appearing so refreshing, simple and neater proof of the famous theorem.

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  • You can teach a course that will give their students exposure to linear algebra. In their first brush with the topic, your students can work with the Euclidean space and the matrix. In contrast, this course will emphasize the abstract vector spaces and linear maps. Bold title of this book deserves an explanation. Almost all linear algebra books use determinants to prove that each linear op-erator on a finite dimensional vector space has a complex eigenvalue.

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