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1,525 result(s) for "Algebra Study and teaching."
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Algebra Teacher's Activities Kit
Help your students succeed with classroom-ready, standards-based activities The Algebra Teacher's Activities Kit: 150 Activities That Support Algebra in the Common Core Math Standards helps you bring the standards into your algebra classroom with a range of engaging activities that reinforce fundamental algebra skills. This newly updated second edition is formatted for easy implementation, with teaching notes and answers followed by reproducibles for activities covering the algebra standards for grades 6 through 12. Coverage includes whole numbers, variables, equations, inequalities, graphing, polynomials, factoring, logarithmic functions, statistics, and more, and gives you the material you need to reach students of various abilities and learning styles. Many of these activities are self-correcting, adding interest for students and saving you time. This book provides dozens of activities that * Directly address each Common Core algebra standard * Engage students and get them excited about math * Are tailored to a diverse range of levels and abilities * Reinforce fundamental skills and demonstrate everyday relevance Algebra lays the groundwork for every math class that comes after it, so it's crucial that students master the material and gain confidence in their abilities. The Algebra Teacher's Activities Kit helps you face the challenge, well-armed with effective activities that help students become successful in algebra class and beyond.
EnVision algebra 1
\"EnVision A G A ©2018 is a brand-new high school mathematics program. It includes Algebra 1, Geometry, and Algebra 2. enVision A G A helps students look at math in new ways, with engaging, relevant, and adaptive content. For teachers, the program offers a flexible choice of options and resources. Customize instruction, practice, and assessments. Re-energize students and help them become more self-directed and independent learners\"--Provided by publisher
The Nature and Role of Algebra in the K-14 Curriculum
With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the \"standards movement\" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, \"The Nature and Role of Algebra in the K-14 Curriculum,\" on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.
College algebra
With a concise but rigorous approach, this group of four books on the fundamentals of algebra at the college level introduces the student to the full spectrum of mathematical tools that will serve him or her through all quantitative subjects at the university level, including as a preparation for first year calculus. Beginning with the basic elements of algebra including number theory and set theory, and going on through concepts of equations and functions and on to co-ordinate geometry and advanced algebraic expressions like polynomial equations, these books offer a comprehensive preparation for mathematics at the college level. Each of these four books presents clear explanations of fundamental concepts, followed by ample worked-out exercises to help reinforce the concepts as presented. This second book covers the basics of factoring, setting up linear equations, the uses for inequalities, and use of rational expressions and equations.
Practical linear algebra : a geometry toolbox
\"Practical Linear Algebra covers all the concepts in a traditional undergraduate-level linear algebra course, but with a focus on practical applications. The book develops these fundamental concepts in 2D and 3D with a strong emphasis on geometric understanding before presenting the general (n-dimensional) concept. The book does not employ a theorem/proof structure, and it spends very little time on tedious, by-hand calculations (e.g., reduction to row-echelon form), which in most job applications are performed by products such as Mathematica. Instead the book presents concepts through examples and applications. \"-- Provided by publisher.
Approaches to algebra : perspectives for research and teaching
In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an \"arithmetic\" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
Change and invariance : a textbook on algebraic insight into numbers and shapes
What is the connection between finding the amount of acid needed to reach the desired concentration of a chemical solution, checking divisibility by a two-digit prime number, and maintaining the perimeter of a polygon while reducing its area? The simple answer is the title of this book. The world is an interplay of variation and constancy -- a medley of differences and similarities -- and this change and invariance is, largely, a language of science and mathematics. This book proposes a unique approach for developing mathematical insight through the perspective of change and invariance as it applies to the properties of numbers and shapes.
College algebra
With a concise but rigorous approach, this group of four books on the fundamentals of algebra at the college level introduces the student to the full spectrum of mathematical tools that will serve him or her through all quantitative subjects at the university level, including as a preparation for first year calculus. Beginning with the basic elements of algebra including number theory and set theory, and going on through concepts of equations and functions and on to co-ordinate geometry and advanced algebraic expressions like polynomial equations, these books will offer a comprehensive preparation for mathematics at the college level. Each of these four books presents clear explanations of fundamental concepts, followed by ample worked-out exercises to help reinforce the concepts as presented. This fourth book builds on the basic elements of algebraic expressions and equations to introduce special classes of equations like the quadratic equation and the equations of conic sections and then on to the concepts of functions, including exponential functions and the use of the logarithm.