Developing Essential Understanding – serie
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14 produkter
Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning in Grades 6-8
Häftad, 2010
231 kr
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How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students - and teachers - to …
Developing Essential Understanding of Number and Numeration in Pre-K-Grade 2
Av Barbara Dougherty, Alfinio Flores m. fl.
Häftad, 2010
231 kr
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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 …
Developing Essential Understanding - Rational Numbers in Grades 3-5
Av Carne Clarke, William Fisher m. fl.
Häftad, 2010
231 kr
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What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? How are rational numbers related to irrational numbers, which your students will study in later grades?How much do you know… and how much do …
Developing Essential Understanding - Multiplication and Division for Teaching Math in Grades 3-5
Av Albert Otto, Janet Caldwell m. fl.
Häftad, 2011
231 kr
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Unpacking"" the ideas related to multiplication and division is a critical step in developing a deeper understanding. To those without specialised training, many of these ideas might appear to be easy to teach. But those who teach in grades 3-5 are aware of their subtleties and complexities.This …
Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5
Av Maria Blanton, Linda Levi m. fl.
Häftad, 2011
231 kr
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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 mathematical experiences expand. The authors identify and …
Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Math in Grades 6-8
Av Gwendolyn Lloyd, Beth Herbel Eisenmann m. fl.
Häftad, 2011
231 kr
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Why do some equations have one solution, others two or even more solutions and some no solutions? Why do we sometimes need to ""switch"" the direction of an inequality symbol in solving an inequality? What could you say if a student described a function as an equation?How much do you know...and how …
Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 6-8
Av Gary Kader, Tim Jacobbe m. fl.
Häftad, 2013
231 kr
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How does working with data in statistics differ from working with numbers in mathematics? What is variability, and how can we describe and measure it? How can we display distributions of quantitative or categorical data? What is a data sample, and how can we choose one that will allow us to draw …
Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 9-12
Av Roxy Peck, Rob Gould m. fl.
Häftad, 2013
231 kr
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How does a statistical model differ from a mathematical model? What are the differences among the sample distribution, the sampling distribution, and the population distribution? In an experiment, what effect does the sampling method have on the results? What are the implications of the use of …
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8
Av Nathalie Sinclair, David Pimm m. fl.
Häftad, 2012
231 kr
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Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful?How much do you know … and how much do you need to …
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12
Av Nathalie Sinclair, David Pimm m. fl.
Häftad, 2012
231 kr
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Why does it matter whether we state definitions carefully when we all know what particular geometric figures look like? What does it mean to say that a reflection is a transformation—a function? How does the study of transformations and matrices in high school connect with later work with vector …
Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12
Av Gwendolyn Lloyd, Sybilla Beckmann
Häftad, 2010
231 kr
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Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus?How much do you know… and how much …
Developing Essential Understanding of Addition and Subtraction for Teaching Math in PreK-Grade 2
Av Karen Karp, Janet Caldwell m. fl.
Häftad, 2011
231 kr
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What is the relationship between addition and subtraction? How do you know whether an algorithm will always work? Can you explain why order matters in subraction but not in addition or why it is false to assert that the sum of any two whole numbers is greater than either number?It is organised …
Developing Essential Understanding - Mathematical Reasoning in Grades Pre-K- Grade 8
Av John Lannin, Amy Ellis m. fl.
Häftad, 2011
231 kr
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How do your students determine whether a mathematical statement is true? Do they rely on a teacher, a textbook or various examples? How can you encourage them to connect examples, extend their ideas to new situations that they have not yet considered and reason more generally?How much do you …
Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12
Av Kristen Bieda, Eric Knuth m. fl.
Häftad, 2012
225 kr
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What is the difference between “proof” in mathematics and “proof” in science or a court of law? In mathematics, how does proof differ from other types of arguments? What forms can proof take besides the traditional two-column style? What activities constitute the process of proving? What roles do …
