Barbara Dougherty - Böcker

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...

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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...

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Like algebra at any level, early algebra is a way to explore, analyse, represent and generalise mathematical ideas and relationships. This book shows that children can and do engage in generalising about numbers and operations as their mathematica...

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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 ...

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Do your students believe that division "doesn't make sense" if the divisor is greater than the dividend? Explore rich, researched-based strategies and tasks that show how students are reasoning about and making sense of mulitplication and division...

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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 c...

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Do your students have the incorrect idea that addition "makes numbers bigger" and subtraction "makes numbers smaller"? Do they believe that subtraction is always "taking away"? What tasks can you offer - what questions can you ask - to determine w...

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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 transfo...

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This book, the eleventh in the Putting Essential Understanding into Practice Series, focuses on misconceptions about variables, expressions, equations, and functions that students often bring to grades 6-8. The authors present tasks given to middl...

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Stop algebra from being a mathematical gatekeeper. With rich math tasks, all students can succeed.¿ Every teacher strives to make instruction effective and interesting, yet traditional methods of teaching algebra are not working for many students!...

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A school-wide¿solution for students' mathematics success! Do you sometimes start to teach a mathematics concept and feel like you're staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation tri...

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A schoolwide solution for students' mathematics success! Do you sometimes start to teach a mathematics concept and feel like you're staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation tric...

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A schoolwide solution for students' mathematics success! Do you sometimes start to teach a mathematics concept and feel like you're staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation tric...

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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 i...

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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 i...

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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 shape and nature of the current geometry curriculum by explaining how things have come t...

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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 shape and nature of the current geometry curriculum by explaining how things have come t...

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This concise pocket guide is the first of its kind to provide a solid foundation for those who are involved in academic orthopedic surgery education for medical students, residents, and faculty and program heads. Opening with an exploration of the...

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This concise pocket guide is the first of its kind to provide a solid foundation for those who are involved in academic orthopedic surgery education for medical students, residents, and faculty and program heads. Opening with an exploration of the...

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