More Teaching Fractions and Ratios for Understanding: In-Depth Discussion and Reasoning Activities

by Lamon; Susan J.

• ISBN13: 9780805852110
• ISBN10: 0805852115
• Edition: 2nd
• Format: Nonspecific Binding
• Copyright: 2005-10-26
• Publisher: Lawrence Erlbau

Summary

This book is a supplement to the textTeaching Fractions and Ratios for Understanding.It is not merely an answer key, but a resource that includes in-depth discussions of the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes. In the second edition,MOREhas been reorganized so that supplementary activities immediately follow the discussions of the activities from the text. Solutions to these supplemental activities have been removed to facilitate the use ofMOREin courses. Nevertheless, because the number of activities in each chapter of the text has increased and complete discussions of all of them are provided inMORE,there is ample opportunity to learn reasoning methods.

Table of Contents

Preface	ix
Fractions and Proportional Reasoning: An Overview	1	(7)
Discussion of Activities	1	(5)
Supplementary Activities	6	(2)
Fractions and Rational Numbers	8	(4)
Discussion of Activities	8	(2)
Supplementary Activities	10	(2)
Relative and Absolute Thinking	12	(5)
Discussion of Activities	12	(2)
Supplementary Activities	14	(3)
Measurement	17	(7)
Discussion of Activities	17	(3)
Supplementary Activities	20	(4)
Quantities and Covariation	24	(10)
Discussion of Activities	24	(3)
Supplementary Activities	27	(7)
Reasoning Up and Down	34	(8)
Discussion of Activities	34	(3)
Supplementary Activities	37	(5)
Unitizing	42	(4)
Discussion of Activities	42	(2)
Supplementary Activities	44	(2)
Sharing and Comparing	46	(6)
Discussion of Activities	46	(3)
Supplementary Activities	49	(3)
Proportional Reasoning	52	(6)
Discussion of Activities	52	(4)
Supplementary Activities	56	(2)
Reasoning with Fractions	58	(6)
Discussion of Activities	58	(4)
Supplementary Problems	62	(2)
Part-Whole Comparisons	64	(6)
Discussion of Activities	64	(3)
Supplementary Problems	67	(3)
Partitioning and Quotients	70	(5)
Discussion of Activities	70	(3)
Supplementary Problems	73	(2)
Rational Numbers as Operators	75	(8)
Discussion of Activities	75	(4)
Supplementary Activities	79	(4)
Rational Numbers as Measures	83	(6)
Discussion of Activities	83	(3)
Supplementary Activities	86	(3)
Ratios and Rates	89	(8)
Discussion of Activities	89	(4)
Supplementary Problems	93	(4)
Distance-Rate-Time Relationships	97	(9)
Discussion of Activities	97	(2)
Supplementary Problems	99	(7)
Similarity and Percents	106	(6)
Discussion of Activities	106	(3)
Supplementary Activities	109	(3)
Challenging Problems	112