This collection offers a new understanding of the epistemology of measurement. The interdisciplinary volume explores how measurements are produced, for example, in astronomy and seismology, in studies of human sexuality and ecology, in brain imaging and intelligence testing. It considers photography as a measurement technology and Henry David Thoreau's poetic measures as closing the gap between mind and world. By focusing on measurements as the hard-won results of conceptual as well as technical operations, the authors of the book no longer presuppose that measurement is always and exclusively a means of representing some feature of a target object or entity. Measurement also provides knowledge about the degree to which things have been standardized or harmonized – it is an indicator of how closely human practices are attuned to each other and the world.

For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

This book provides information about how the numeric ability of individuals can impact the decisions they make about healthcare.

This edited volume examines the very essence of the function of judges, building upon developments in the quality of justice research throughout Europe. Distinguished authors address a gap in the literature by considering the standards that individual judgments should meet, presenting both academic and practical perspectives. Readers are invited to consider such questions as: What is expected from judicial reasoning? Is there a general concept of good quality with regard to judicial reasoning? Are there any attempts being made to measure the quality of judicial reasoning? The focus here is on judges meeting the highest standards possible in adjudication and how they may be held to account for the way they reason. The contributions examine theoretical questions surrounding the measurement of the quality of judicial reasoning, practices and legal systems across Europe, and judicial reasoning in various international courts. Six legal systems in Europe are featured: England and Wales, Finland, Italy, the Czech Republic, France and Hungary as well as three non-domestic levels of court jurisdictions, including the Court of Justice of the European Union (CJEU). The depth and breadth of subject matter presented in this volume ensure its relevance for many years to come. All those with an interest in benchmarking the quality of judicial reasoning, including judges themselves, academics, students and legal practitioners, can find something of value in this book.

Designed to work with any curriculum, Cognition-Based Assessment and Teaching will enable you to better understand and respond to your students' learning needs and help you choose instructional activities that are best for them. Michael Battista offers a learning-progressions model for maximizing each student's progress&— helping students who are behind catch up, preventing future failures from occurring, and helping students who are ready move quickly ahead. Cognition-Based Assessment and Teaching will help you will all three tiers in RTI. Battista's approach emphasizes three key components that support students' mathematical sense making and proficiency: Determining students' levels of sophistication in reasoning Assessing and monitoring the development of students' understanding of core ideas Differentiating instruction to meet individual students' learning needs Using a research-based framework that describes the development of students' thinking and learning in terms of levels of sophistication, a “cognitive terrain” that includes ascents and plateaus, Battista shows how teachers can build on their students' reasoning with instruction that keeps them moving ever upwards.--Publisher.

This book offers a comprehensive overview of current, innovative approaches to assessing domain-specific and generic student learning and learning outcomes in higher education. The presented work from all projects of the KoKoHs program, the most significant research initiative in German higher education since 2011, describes established tools and empirical results.

Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom