Necessary Conditions of Learning presents a research approach (phenomenography) and a theory (the variation theory of learning) introduced and developed by Ference Marton and taken up by his wide and varied following around the world—together with their practical applications in educational contexts. Reflecting Marton’s whole lifetime's work, the unique and significant contribution of this book is to offer an evidence-based answer to the questions "How do we make novel meanings our own?" and "How do we learn to see things in more powerful ways?" The presentation makes use of hundreds of empirical studies carried out in Europe and Asia which build on the theory. The line of reasoning and the way in which the examples are put together is consistent with the theory—it is both presented and applied. The main argument is that in order to learn we have to discern, and to discern the intended ideas we must be presented with carefully structured variation, against a background of invariance. We then go through processes of contrast, generalization, and fusion in order to make sense. These insights form a practical framework for those who design teaching and teaching materials. Necessary Conditions of Learning is a major original work for which scholars of pedagogical theory have been waiting a long time.

During his years working as an instructional coach for a national network of schools, Geoff Krall had the chance to witness several inspirational moments when math class comes alive for middle or high school students - when it is challenging but also fun, creative, and interactive. In Necessary Conditions: Teaching Secondary Math with Academic Safety, Quality Tasks, and Effective Facilitation, Krall documents the essential ingredients that produce these sorts of moments on a regular basis and for all students. They are Academic Safety, Quality Tasks, and Effective Facilitation. Academic Safety: Krall implements equitable classroom experiences that help fight stigmas associated with race and gender in schools. This allows students to feel socially and emotionally secure while nurturing their identities as mathematicians and increasing engagement during classroom discussions Quality Tasks: Teachers can adapt or create dynamic, student-centered lessons that break down math into small, manageable sections, removing the frustrations felt by students who aren't considered math people Effective Facilitation: This book shows how to incorporate teaching moves and math routines designed for engagement, persistence, and interactivity. Teachers can allow students to explore safely while maintaining consistent classroom expectations. "My work as a math instructional coach for a network of schools has afforded me the unique opportunity to visit exceptional teachers across the country, documenting their tasks, teaching moves, and academically safe learning environments. You'll experience dispatches from these effective classrooms in which we'll observe how teachers attend to all three elements that make up the ecosystem." - Geoff Krall from his book, Necessary Conditions.

Classroom Discourse and the Space of Learning is about learning in schools and the central role of language in learning. The investigations of learning it reports are based on two premises: First, whatever you are trying to learn, there are certain necessary conditions for succeeding--although you cannot be sure that learning will take place when those conditions are met, you can be sure that no learning will occur if they are not. The limits of what is possible to learn is what the authors call "the space of learning." Second, language plays a central role in learning--it does not merely convey meaning, it also creates meaning. The book explicates the necessary conditions for successful learning and employs investigations of classroom discourse data to demonstrate how the space of learning is linguistically constituted in the classroom. Classroom Discourse and the Space of Learning: *makes the case that an understanding of how the space of learning is linguistically constituted in the classroom is best achieved through investigating "classroom discourse" and that finding out what the conditions are for successful learning and bringing them about should be the teacher's primary professional task. Thus, it is fundamentally important for teachers and student teachers to be given opportunities to observe different teachers teaching the same thing, and to analyze and reflect on whether the classroom discourse in which they are engaged maximizes or minimizes the conditions for learning; *is both more culturally situated and more generalizable than many other studies of learning in schools. Each case of classroom teaching clearly demonstrates how the specific language, culture, and pedagogy molds what is happening in the classroom, yet at the same time it is possible to generalize from these culturally specific examples the necessary conditions that must be met for the development of any specific capability regardless of where the learning is taking place and what other conditions might be present; and *encompasses both theory and practice--providing a detailed explication of the theory of learning underlying the analyses of classroom teaching reported, along with close analyses of a number of authentic cases of classroom teaching driven by classroom discourse data which have practical relevance for teachers. Intended for researchers and graduate students in education, teacher educators, and student teachers, Classroom Discourse and the Space of Learning is practice- and content-oriented, theoretical, qualitative, empirical, and focused on language, and links teaching and learning in significant new ways.

First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methodsâ€"to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

Educational Psychology Series: Evaluating the Quality of Learning: The SOLO Taxonomy (Structure of the Observed Learning Outcome) focuses on the approaches, methodologies, and techniques employed in the valuation of the quality of learning. The publication first offers information on the quality and quantity of learning and origin and description of the Structure of the Observed Learning Outcome (SOLO) taxonomy. Discussions focus on general intellectual development and the growth of quality; some assumptions and applications of stage theory; from developmental stage to levels of learning quality; and general intellectual development and the growth of quality. The text then examines the teaching of history, elementary mathematics, English, and geography. Topics include interpreting a map and drawing conclusions, explaining a natural phenomenon, appreciation of poetry, implications for the teaching of history, English, and mathematics, numbers and operations, and general application of SOLO to history. The manuscript takes a look at modern languages, place of the taxonomy in instructional design, and some methodological considerations. Concerns include alternative formats for obtaining SOLO responses, instructional processes, curriculum analysis, remediation, and teacher intentions. The publication is a vital source of data for educators interested in the SOLO taxonomy.

This text addresses the problem of how our past or current learning influences, is generalised and is applied or adapted to similar or new situations. It illustrates how transfer of learning can be promoted in the classroom and everyday life.

Praise for How Learning Works "How Learning Works is the perfect title for this excellent book. Drawing upon new research in psychology, education, and cognitive science, the authors have demystified a complex topic into clear explanations of seven powerful learning principles. Full of great ideas and practical suggestions, all based on solid research evidence, this book is essential reading for instructors at all levels who wish to improve their students' learning." —Barbara Gross Davis, assistant vice chancellor for educational development, University of California, Berkeley, and author, Tools for Teaching "This book is a must-read for every instructor, new or experienced. Although I have been teaching for almost thirty years, as I read this book I found myself resonating with many of its ideas, and I discovered new ways of thinking about teaching." —Eugenia T. Paulus, professor of chemistry, North Hennepin Community College, and 2008 U.S. Community Colleges Professor of the Year from The Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education "Thank you Carnegie Mellon for making accessible what has previously been inaccessible to those of us who are not learning scientists. Your focus on the essence of learning combined with concrete examples of the daily challenges of teaching and clear tactical strategies for faculty to consider is a welcome work. I will recommend this book to all my colleagues." —Catherine M. Casserly, senior partner, The Carnegie Foundation for the Advancement of Teaching "As you read about each of the seven basic learning principles in this book, you will find advice that is grounded in learning theory, based on research evidence, relevant to college teaching, and easy to understand. The authors have extensive knowledge and experience in applying the science of learning to college teaching, and they graciously share it with you in this organized and readable book." —From the Foreword by Richard E. Mayer, professor of psychology, University of California, Santa Barbara; coauthor, e-Learning and the Science of Instruction; and author, Multimedia Learning