A SCHOLARLY BOOK REPOSITORY
In the ever-evolving landscape of engineering education, calculus stands as a foundational pillar, yet its teaching methods have remained largely unchanged for decades. This textbook is born out of a deep-seated need for reform. Traditional calculus courses struggle to incorporate relevant, real-world examples. The disconnect between mathematical theory and its real-world uses hinders the learning process and fails to fully engage students in the practical applications of calculus. A second core issue lies not in the examples used but in the selection of material and the overemphasis on lengthy, manual calculations that lack meaningful context. This book represents a radical departure from conventional approaches, inspired by Prof. Grizzle’s experience developing and teaching the first-semester course ROB 101 Computational Linear Algebra. Its goal is to breathe life into mathematics through programming and realistic examples. It begins by placing integration at the beginning of the learning process, starting with sums and progressing to integration, which is not only more intuitive but also lends itself well to programming applications, such as calculating the change in position of mobile robots from velocity curves. Following integration, the book delves into differentiation (both single-variable and multivariable) and its myriad applications. Traditional methods of computing integrals, such as antiderivatives and substitution methods, are then introduced and framed within the context of both manual calculations and modern symbolic tools. The journey continues through improper integrals, ordinary differential equations (ODEs), Laplace Transforms, and Feedback Control, encompassing a breadth of topics rarely seen in a single calculus course.
Claudia Zaslavsky has helped thousands of men and women understand why math made them miserable. Let her introduce you to real people who, like you, fled from anything to do with math. All of them--White, African American, Asian American, Latino, artist, homemaker, manager, teacher, teenager, or grandparent--came to see that their math troubles were not their fault. Social stereotypes, poor schools, and well-meaning parents had convinced them that they couldnÕt, or shouldnÕt, do math.
Claudia Zaslavsky shows you how the school math you dreaded is a far cry from the math you really need in life (and probably know better than you ever suspected)! She gives a host of reassuring methods, drawn from many cultures, for tackling real-world math problems. She explodes the myth that women and minorities are not good at math. With Claudia Zaslavsky’s help, you can see why math matters and how to get over the math barrier that has been holding you back from your goals in life.
Stodolsky presents a challenge to educational research. She shows that classroom activities are coherent actions shaped by the instructional context—especially what is taught. Stodolsky contradicts the received view of both teaching and learning as uniform and consistent. Individual teachers arrange instruction very differently, depending on what they are teaching, and students respond to instruction very differently, depending on the structure and demands of the lesson.
The instructional forms used in math classes, a "basic" subject, and social studies classes, an "enrichment" subject, differ even when the same teacher conducts both classes. Social studies classes show more diversity in activities, while math classes are very similar to one another. Greater variety is found in social studies within a given teacher's class and when different teachers' classes are compared. Nevertheless, in the classrooms Stodolsky studied, the range of instructional arrangements is very constricted.
Challenging the "back to basics" movement, Stodolsky's study indicates that, regardless of subject matter, students are more responsive to instruction that requires a higher degree of intellectual complexity and performance, to learning situations that involve them in interaction with their peers, and to active modes of learning. Stodolsky also argues that students develop ideas about how to learn a school subject, such as math, by participating in particular activities tied to instruction in the subject. These conceptions about learning are unplanned but enduring and significant consequences of schooling.
The Subject Matters has important implications for instructional practice and the training, education, and supervision of teachers. Here is a new way of understanding the dynamics of teaching and learning that will transform how we think about schools and how we study them.
An urgent reality check for America’s blinkered fixation on STEM education.
We live in an era of STEM obsession. Not only do tech companies dominate American enterprise and economic growth while complaining of STEM shortages, but we also need scientific solutions to impending crises. As a society, we have poured enormous resources—including billions of dollars—into cultivating young minds for well-paid STEM careers. Yet despite it all, we are facing a worker exodus, with as many as 70% of STEM graduates opting out of STEM work. Sociologist John D. Skrentny investigates why, and the answer, he shows, is simple: the failure of STEM jobs.
Wasted Education reveals how STEM work drives away bright graduates as a result of “burn and churn” management practices, lack of job security, constant training for a neverending stream of new—and often socially harmful—technologies, and the exclusion of women, people of color, and older workers. Wasted Education shows that if we have any hope of improving the return on our STEM education investments, we have to change the way we’re treating the workers on whom our future depends.
This is an auto-narrated audiobook version of this book.
An urgent reality check for America’s blinkered fixation on STEM education.
We live in an era of STEM obsession. Not only do tech companies dominate American enterprise and economic growth while complaining of STEM shortages, but we also need scientific solutions to impending crises. As a society, we have poured enormous resources—including billions of dollars—into cultivating young minds for well-paid STEM careers. Yet despite it all, we are facing a worker exodus, with as many as 70% of STEM graduates opting out of STEM work. Sociologist John D. Skrentny investigates why, and the answer, he shows, is simple: the failure of STEM jobs.
Wasted Education reveals how STEM work drives away bright graduates as a result of “burn and churn” management practices, lack of job security, constant training for a neverending stream of new—and often socially harmful—technologies, and the exclusion of women, people of color, and older workers. Wasted Education shows that if we have any hope of improving the return on our STEM education investments, we have to change the way we’re treating the workers on whom our future depends.
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