"Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable ..."
"Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable ..."
The Math Pact, High School Achieving Instructional Coherence Within and Across Grades (Corwin Mathematics Series) Paperback by BarbaraJ. Dougherty, Karen S. Karp, Sarah B. Bush Paperback, 216 Pages, Published 2020 by Sage Publications Inc, United States ISBN-13: 978-1-5443-9960-7, ISBN: 1-5443-9960-X
"Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable ..."
"Do your students think that the vertical line test is indispensable and foolproof for determining whether a relationship is a function? Do they believe that every function can be modeled by an equation? Do they interpret the graph of a function as the function itself? What tasks can you offer - what questions can you ask - to determine what they know or don't know - and move them forward in their thinking? This book focuses on the spe ..."
"How can you introduce terms from geometry and measurement so that your students' vocabulary will enhance their understanding of concepts and definitions? What can you say to clarify the thinking of a student who claims that perimeter is always an even number? How does knowing what changes or stays the same when shapes are transformed help you support and extend your students' understanding of shapes and the space that they occupy? How ..."
"Do your students say that one object is "bigger" than another without attending more precisely to the attribute they are comparing? Do they have difficulty naming numbers from 11 to 19? Do some students still count all while their classmates are counting on or counting by tens? What tasks can you offer-what questions can you ask-to determine what your students know or don't know-and move them forward in their thinking? This book focuses ..."
"Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having halves means having two, and only two, congruent pieces of a whole?What tasks can you offer what questions can you ask to determine what your students know or don t know and move them forward in their thinking? This book focuses on the specialized pedagogical content knowledge that you need to teach fractions effectively in grad ..."
"How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organised around one big idea and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining this understand ..."
"How can you build on young children's interactions with the world to develop their geometric thinking? What can you say to a student who claims that a diamond isn't a square because it "stands on a point"? How can knowing what does not change when shapes are transformed help you extend your students' thinking about the area of geometric figures? How much do you know ...and how much do you need to know? Helping your students develop a ro ..."
"A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, Iowa State University This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula."
"Do your students have the incorrect idea that addition omakes numbers biggero and subtraction omakes numbers smallero? Do they believe that subtraction is always otaking awayo? What tasks can you offer - what questions can you ask - to determine what your students know or donAEt know - and move them forward in their thinking? This book focuses on the specialized pedagogical content knowledge that you need to teach addition and subtracti ..."
"Do your students suppose that if the perimeter of a shape increases, the area also increases? Do they think that area is the product of base and height, without understanding that this applies only to parallelograms? Do they believe that a transformation happens only on or to a particular object and not the entire plane? What tasks can you offer-what questions can you ask-to determine what they know or don't know-and move them forward i ..."
"A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, University of Mississippi This volume investigates the evolution of the geometry curriculum in the United States over the past 150 years. A primary goal is to increase awareness of the nature of the current geometry curriculum by investigating the historical, mathematical and pedagogical influences that it has sustained since its inception. Given the limit ..."
"A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, University of Mississippi This monograph reports on an analysis of a small part of the mathematics curriculum, the definitions given to quadrilaterals. This kind of research, which we call micro-curricular analysis, is often undertaken by those who create curriculum, but it is not usually done systematically and it is rarely published. Many terms in m ..."
"Writing has become a focal point in mathematics instruction as new standards call for getting students writing, speaking, and thinking mathematically. The new editions of The "Write" Way Mathematics Journal Prompts & More include extended problem-solving tasks and open-ended assessment items that require self-constructed responses from students. Each book contains journal prompts for a full year's writing tasks in mathematics. The "Writ ..."
"Writing has become a focal point in mathematics instruction as new standards call for getting students writing, speaking, and thinking mathematically. The new editions of The "Write" Way Mathematics Journal Prompts & More include extended problem-solving tasks and open-ended assessment items that require self-constructed responses from students. Each book contains journal prompts for a full year's writing tasks in mathematics. The "Writ ..."