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Explorations in College Algebra by Linda Almgren Kime,Judith Clark,Beverly K. Michael Pdf
Explorations in College Algebra's overarching goal is to reshape the College Algebra course to make it more relevant and accessible to all students. This is achieved by shifting the focus from learning a set of discrete mechanical rules to exploring how algebra is used in social and physical sciences and the world around you. By connecting mathematics to real-life situations, students come to appreciate its power and beauty.
Survey of College Policies to Retain Students at Risk of WIthdrawal by Primary Research Group Pdf
The 275-page study looks closely at how colleges are developing special programs to retain at risk populations such as students in need of remedial help, immigrants, students with limited financial means, and other categories of student at risk of withdrawal. The study examines the effectiveness of programs in remedial mathematics and writing, English as a Second Language, special programs for at-risk veterans, financial literacy programs, specialized tutoring, and other programs and approaches designed to identify and help students at risk of withdrawal. The study helps administrators to answer questions such as: what are the most effective methods of helping such students? Tutoring? Counseling? Peer Advising? Specialized classes? How are such programs paid for? What kinds of programs get the most budgetary support? What is the role of grants and other forms of outside support? How are programs assessed?
Prospective Mathematics Teachers’ Knowledge of Algebra by Rongjin Huang Pdf
Rongjin Huang examines teachers’ knowledge of algebra for teaching, with a particular focus on teaching the concept of function and quadratic relations in China and the United States. 376 Chinese and 115 U.S.A. prospective middle and high school mathematics teachers participated in this survey. Based on an extensive quantitative and qualitative data analysis the author comes to the following conclusions: The Chinese participants demonstrate a stronger knowledge of algebra for teaching and the Chinese participants’ structure of knowledge of algebra for teaching is much more interconnected. Chinese participants show flexibility in choosing appropriate perspectives of the function concept and in selecting multiple representations. Finally, the number of college mathematics and mathematics education courses taken impacts the teachers’ knowledge of algebra for teaching.
This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail). It also contains a complete treatment of vector algebra (including the dot and cross product). This is usually reserved for a calculus course, but is properly algebra, and so belongs in any algebra book.Since this book deals with algebra from A to Z, it starts at the beginning with the arithmetic of the counting numbers and their extensions, i.e. the negative numbers and the rational numbers. However, these very elementary items are treated from an advanced point of view. The teacher should assign the first three chapters as outside reading, using only one day per chapter for classroom discussion.The remaining chapters cover all of the usual topics in college algebra, but they contain many unusual items not found in the standard college algebra course. As an example, the circle notation for a composite function is now standard material, but this book explains just why that notation is needed.The book concludes with a presentation of the Peano Axioms. This advanced topic should be available to all mathematics students, whether they are first year algebra students or are working for a PhD degree.
National Academies of Sciences, Engineering, and Medicine,Division on Engineering and Physical Sciences,Division of Behavioral and Social Sciences and Education,Board on Mathematical Sciences and Analytics,Board on Science Education
Author : National Academies of Sciences, Engineering, and Medicine,Division on Engineering and Physical Sciences,Division of Behavioral and Social Sciences and Education,Board on Mathematical Sciences and Analytics,Board on Science Education Publisher : National Academies Press Page : 123 pages File Size : 40,7 Mb Release : 2019-11-18 Category : Education ISBN : 9780309496650
Increasing Student Success in Developmental Mathematics by National Academies of Sciences, Engineering, and Medicine,Division on Engineering and Physical Sciences,Division of Behavioral and Social Sciences and Education,Board on Mathematical Sciences and Analytics,Board on Science Education Pdf
The Board on Science Education and the Board on Mathematical Sciences and Analytics of the National Academies of Sciences, Engineering, and Medicine convened the Workshop on Increasing Student Success in Developmental Mathematics on March 18-19, 2019. The Workshop explored how to best support all students in postsecondary mathematics, with particular attention to students who are unsuccessful in developmental mathematics and with an eye toward issues of access to promising reforms and equitable learning environments. The two-day workshop was designed to bring together a variety of stakeholders, including experts who have developed and/or implemented new initiatives to improve the mathematics education experience for students. The overarching goal of the workshop was to take stock of the mathematics education community's progress in this domain. Participants examined the data on students who are well-served by new reform structures in developmental mathematics and discussed various cohorts of students who are not currently well served - those who even with access to reforms do not succeed and those who do not have access to a reform due to differential access constraints. Throughout the workshop, participants also explored promising approaches to bolstering student outcomes in mathematics, focusing especially on research and data that demonstrate the success of these approaches; deliberated and discussed barriers and opportunities for effectively serving all students; and outlined some key directions of inquiry intended to address the prevailing research and data needs in the field. This publication summarizes the presentations and discussion of the workshop.
The College Conqueror's Handbook by Chantal Korkis Pdf
The College Conqueror's Handbook provides rock-solid advice on how to: - study for college level exams - write papers - choose courses - balance academic and social life - manage money, time, and resources It clearly explains the needs and benefits of establishing and maintaining an ambitious outlook, a positive attitude, and taking the right actions while in college. This easy to read book walks students through the steps required in order to conqueror college. After all, why survive college when you can conquer it? After graduating from college, Chantal Korkis wrote and completed the College Conqueror's Handbook by the time she was 23 years old. She is also the founder and director of The College Conqueror Workshop. As a public speaker and author, her goal is to equip high school and college students with the keys to college success. Chantal graduated from the University of South Florida with a 4.0 GPA and completed her college education in two and a half years. Overcoming and mastering the many facets of college life, she now instructs students on how to achieve the same kind of success, encouraging them to get the most out of college without letting it get the best of them.
College Algebra, Volume 1 by Demetrios P. Kanoussis Pdf
This book was written to provide an essential assistance to students who are first being introduced to the fundamentals of Algebra and has been designed to be an excellent supplementary textbook for University and College students in all areas of Mathematics, Physics and Engineering. The content of the book is divided into 9 chapters.In Chapter 1 we present the fundamentals of the theory of Sets, i.e. union, intersection and difference of sets, properties of the operations between sets, a general method to prove a set equality, Venn's diagrams, ordered pairs and Cartesian products.In Chapter 2 we concentrate on the set of real numbers, define rational and irrational numbers, introduce the countable and the uncountable sets concept, show that the set of rational numbers is countable while the set of real numbers is uncountable, and state various other theorems concerning finite and infinite sets.In Chapter 3 we study the powers with positive or negative integer exponents, the radicals, and state some fundamental properties governing the operations with algebraic expressions involving powers and/ or radicals. Finally we show that a power with a fractional exponent is equivalent to a radical, and state all important properties involving powers with fractional exponents.In Chapter 4 we study some (frequently used in Algebra) properties of proportions and state the important Theorem of equal fractions.In Chapter 5 we present a thorough and in depth introduction to the theory of inequalities and state their most common properties. Simple inequalities are solved making use of the related inequality properties.In Chapter 6 we define the absolute value of a real number, state all the fundamental related properties and give some general principles as how to work with problems involving absolute values.In Chapter 7 we present an in depth study of the main algebraic identities, such as the square of the sum or the difference of two numbers, the cube of the sum or the difference of two numbers, the difference of two squares, the difference or the sum of two cubes, the Cauchy's identity, the Lagrange's identity, the De Moivre's identity, the Newton's Binomial Formula, etc.In Chapter 8 various methods and techniques are developed, in order to factor a given algebraic expression, such as common factors, factoring by grouping, the difference of two squares or two cubes, the sum of two cubes, the difference of like powers of two numbers, etc. The factoring of an algebraic expression relies heavily on the identities developed in chapter 7.In Chapter 9 we present some useful permanent inequalities, with a wide range of applications in various Algebra problems. In this chapter we also study the famous Cauchy's inequality about the arithmetic mean, the geometric mean and the harmonic mean of n positive numbers, and work various problems with the aid of this important inequality.The text includes more than 145 illustrative worked out examples and 300 graded problems to be solved. The examples and the problems are designed to help the students to develop a solid background in Algebra, to broaden their knowledge and sharpen their analytical skills and finally to prepare them to pursue successful studies in more advanced courses in Mathematics.A brief hint or a detailed outline in solving more involved problems is often given.Finally answers to odd-numbered problems are also provided so that the students can check their progress and understanding of the material studied.
Beyond Provincialism by Mahmoud Suleiman,Tonya Huber Pdf
International Education Inquiries is a book series dedicated to realizing the global vision of Education 2030. This vision involves “ensuring inclusive and equitable quality education and promoting lifelong learning opportunities for all.” The founding editors seek to provide a forum for the diverse voices of scholars and practitioners from across the globe, asking questions about transforming the vision of Education 2030 into a reality. Published chapters will reflect a variety of formats, free of methodological restrictions, involving disciplinary as well as interdisciplinary inquiries. We expect the series will be a leading forum for pioneers redefining the global discussion about the people, places, and perspectives shaping Education 2030 outcomes. ENDORSEMENTS: "The educational impact of the COVID-19 pandemic has created the most serious crisis in the history of public education. Addressing this crisis effectively will require efforts aligned with an inclusive and sustainable vision of development, such as articulated by the UN Education 2030 and the Sustainable Development Goals. To build back better educators need to guide their practice by knowledge that is local as well as global, in ways that help their students understand those interdependencies. Beyond Provincialism is an invitation to such an exploration. In this edited volume, Professors Mahmoud Suleiman and Tonya Huber and their colleagues take the reader on a journey that illuminates the impact of hunger among college students in America, how the SDGs can help turnaround high poverty schools, the role of curriculum to promote cross-national collaboration, and how math and science instruction, as well as study abroad, can help students develop procedural and conceptual knowledge that makes visible the relevance of what they learn to the world around them and the impact of the pandemic on teacher preparation in Palestine. The kaleidoscope of insights offered by this book will expand the global awareness and understanding of education as a global activity. A timely and useful resource for teachers and teacher educators that will contribute to advance a transformational education that helps us build back better from the devastation created by the pandemic." — Fernando M. Reimers, Harvard Graduate School of Education "Suleiman and Huber convene a dynamic group of scholars committed to transforming our schools. Using the latest theories and methodological approaches, Beyond Provincialism offers crucial frameworks to understand teaching and learning in a global perspective. This groundbreaking volume wholeheartedly embraces the Sustainable Development Goals (SDGs) and calls upon all of us to simultaneously dismantle systemic inequality and promote equity and social justice in pre-K-20 schools across nations and their institutions. It’s simply a must-read book, especially for practitioners, educators, reformers, researchers, and policy-makers who seek to internationalize education and take it beyond its cursory provincial goals." — Gilberto Q. Conchas, Wayne K. and Anita Woolfolk Hoy, Pennsylvania State University "At a time when proponents of diversity, equity and inclusion are under attack, it is valuable to examine Beyond Provincialism to see how far we still need to go to reform schools and invest in teacher, educator and leader preparation. Grounded in solid frameworks, this timely and informative book astutely provides insights from forceful practitioners, scholars, and researchers whose fascinating experiences and models have practical implications for promoting global multicultural competencies needed to combat racist mindsets and provincial outlooks. Based on Education 2030 vision, the book provides a thoughtful blueprint for integrating international and global dimensions in teacher and educator preparation." — Ken Magdaleno, Center for Leadership, Equity, and Research (CLEAR)
