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MORE! Teaching Fractions and Ratios for Understanding: In-Depth Discussion and Reasoning Activities 3rd edition [Minkštas viršelis]

(Marquette University)
  • Formatas: Paperback / softback, 160 pages, aukštis x plotis: 254x178 mm, weight: 300 g, 150 Line drawings, black and white
  • Išleidimo metai: 26-Oct-2011
  • Leidėjas: Routledge
  • ISBN-10: 0415886139
  • ISBN-13: 9780415886130
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 160 pages, aukštis x plotis: 254x178 mm, weight: 300 g, 150 Line drawings, black and white
  • Išleidimo metai: 26-Oct-2011
  • Leidėjas: Routledge
  • ISBN-10: 0415886139
  • ISBN-13: 9780415886130
Kitos knygos pagal šią temą:
"More is not an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction presented in its companion text, Teaching Fractions and Ratios. Keeping the focus on the reasoning needed to properly understand and teach rational numbers, More shows teachers how to engage in powerful ways of thinking so that they can, in turn, enhance the mathematical education of their students. Like its companion text, More has been heavily expanded and reorganized, including even more student work, templates for key manipulatives, and an emphasis on applications to everyday life. Based on the content chapters in Teaching Fractions and Ratios, each chapter includes: - In-depth Discussions of selected problems and their solutions. - Supplementary Activities and a collection of challenging problems involving fractions. - Praxis Preparation Questions geared to the content of each chapter"--

"More is not an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction presented in its companion text, Teaching Fractions and Ratios. Keeping the focus on the reasoning needed to properly understand and teach rational numbers, More shows teachers how to engage in powerful ways of thinking so that they can, in turn, enhance the mathematical education of their students. Like its companion text, More has been heavily expanded and reorganized, including even more student work, templates for key manipulatives, and an emphasis on applications to everyday life. Based on the content chapters in Teaching Fractions and Ratios, each chapter includes:In-depth Discussions of selected problems and their solutions.Supplementary Activities and a collection of challenging problems involving fractions.Praxis Preparation Questions geared to the content of each chapter"--



More is not an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction presented in its companion text, Teaching Fractions and Ratios. Keeping the focus on the reasoning needed to properly understand and teach rational numbers, More shows teachers how to engage in powerful ways of thinking so that they can, in turn, enhance the mathematical education of their students.

Like its companion text, More has been heavily expanded and reorganized, including even more student work, templates for key manipulatives, and an emphasis on applications to everyday life. Based on the content chapters in Teaching Fractions and Ratios, each chapter includes:

  • In-depth Discussions of selected problems and their solutions.
  • Supplementary Activities and a collection of challenging problems involving fractions.
  • Praxis Preparation Questions geared to the content of each chapter.
Preface ix
1 Proportional Reasoning: An Overview
1(11)
Getting Started
1(4)
Chapter Activities
5(2)
Supplementary Activities
7(2)
Praxis Questions
9(3)
2 Fractions and Rational Numbers
12(7)
Discussion of Activities
12(2)
Supplementary Activities
14(3)
Praxis Questions
17(2)
3 Relative Thinking and Measurement
19(14)
Discussion of Activities
19(4)
Supplementary Activities
23(7)
Praxis Questions
30(3)
4 Quantities and Covariation
33(15)
Discussion of Activities
33(6)
Supplementary Activities
39(6)
Praxis Questions
45(3)
5 Proportional Reasoning
48(22)
Discussion of Activities
48(10)
Supplementary Activities
58(9)
Praxis Questions
67(3)
6 Reasoning with Fractions
70(7)
Discussion of Activities
70(3)
Supplementary Problems
73(1)
Praxis Questions
74(3)
7 Fractions as Part-Whole Comparisons
77(12)
Discussion of Activities
77(6)
Supplementary Problems
83(3)
Praxis Questions
86(3)
8 Fractions as Quotients
89(12)
Discussion of Activities
89(5)
Supplementary Activities
94(4)
Praxis Questions
98(3)
9 Fractions as Operators
101(11)
Discussion of Activities
101(3)
Supplementary Activities
104(5)
Praxis Questions
109(3)
10 Fractions as Measures
112(8)
Discussion of Activities
112(3)
Supplementary Activities
115(2)
Praxis Questions
117(3)
11 Ratios and Rates
120(15)
Discussion of Activities
120(6)
Supplementary Problems
126(6)
Praxis Questions
132(3)
12 Challenging Problems
135(4)
Cuisenaire Strips 139(2)
Pattern Pieces 141(2)
Fraction Strips for Partitioning 143
Susan J. Lamon is Professor Emerita of Mathematics, Statistics, and Computer Science at Marquette University.