Elementary and Middle School Mathematics: Teaching Developmentally“It is fun to figure out the puzzle of how children go about making sense of mathematics and then how to help teachers help kids.” John A. Van de Walle, Late of Virginia Commonwealth University
This is the philosophy behindElementary and Middle School Mathematics: Teaching Developmentally. John A. Van de Walle wrote this book to help students understand mathematics and become confident in their ability to teach the subject to children in kindergarten through eighth grade. Although he could not have foreseen the changes in mathematics teaching over the last three decades, he was at the forefront of the movement towards a constructivist view of teaching, or teaching developmentally. Constructivism says that children construct their own knowledge. They are not blank slates waiting to absorb whatever the teacher tells them. Teachers must understand both mathematics itself and how students learn mathematics in order to teach it effectively.
Learning through problem solving is another major theme of this book. Students solve problems not just to apply mathematics, but also to learn new mathematics. Effective problems will take into account where students are, the problematic or engaging aspect of the problem must be due to the mathematics that the students are to learn and not be diluted by non-mathematical activities such as cutting or pasting, and the problem must require justifications and explanations for answers and methods. Learning then becomes an outcome of the problem solving process.
The book also addresses in more detail than any other book on the market the effect that the trends of standards-based education, increased pressure to test, and increased teacher accountability have had on teaching mathematics. He addresses the 2000 NCTM Standards in depth, in Chapter 1 on Teaching Mathematics in the Era of the NCTM Standards, through the NCTM icon that appears in the margins throughout the text, and in two appendices in the back of the book. Chapter 5 on Building Assessment into Instruction has also been heavily revised to focus on increased testing pressure, creating more explicit links between objectives and assessment, and including assessments for students with special needs. Additionally, samples of Pearson's reformed-based curricula,Connnected Math Project (5-8) as well asInvestigations(K-4), are featured in the text and on the myeducationlab site.
Elementary and Middle School Mathematics: Teaching Developmentallyis a book for doing math today–for both students who want to become teachers, and the students they will eventually teach.
New To This Edition:
NEW! Revises Chapter 5 on assessment--Discusses increased testing pressure and accountability, adds more information on equitable assessments, creates more explicit links between objectives and assessment, and includes assessments for students with special needs.
NEW! Updates theLiterature Connectionsfeature to remove all out of print children’s literature and include more non-fiction, poetry, and other types of readings.
NEW! Weaves theFocal Pointsthroughout the chapters as well as links them with theBig Ideasfeature–Focal Pointshave also been added to the Appendix.
NEW! Includes expanded coverage of working with diverse learners.
NEW! Gives greater emphasis on dealing with math anxiety. |
From inside the book
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To this end it is useful to have a good idea of what constitutes a ratio and a
proportion and in what contexts these mathematical ideas appear. With this
information we can then examine what it means to reason proportionally and
begin to work ...
Three solutions using ratio tables. with the task being to find the fourth number.
However, tasks such as these should come long before any formal approach is
suggested. Further note that in no case is it easy to simply add or subtract to get
to ...
example, in the case of similar rectangles, the ratio of length to width for any one
rectangle is a within ratio, that is, it is "within" the context of that rectangle. For all
similar rectangles, corresponding within ratios will be equal. A between ratio is a
...
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LibraryThing Review
User Review - DKurland - LibraryThingThe calculator activities alone are worth the price of the book. This book should be required reading for anyone who teaches Mathematics in Elementary School. Van de Walle provides the rationale for a ... Read full review
Contents
Teaching Mathematics | 2 |
An Invitation to Learn and Grow | 9 |
Exploring What It Means | 14 |
Copyright | |
78 other sections not shown