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 behind Elementary 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 nonmathematical 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 standardsbased 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. Elementary and Middle School Mathematics: Teaching Developmentallyis a book for doing math todayfor both students who want to become teachers, and the students they will eventually teach. New To This Edition: NEW! Revises Chapter 5 on assessmentDiscusses 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 the Literature Connectionsfeature to remove all out of print children's literature and include more nonfiction, poetry, and other types of readings. NEW! Weaves the Focal Pointsthroughout the chapters as well as links them with the Big 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. 
What people are saying  Write a review
User ratings
5 stars 
 
4 stars 
 
3 stars 
 
2 stars 
 
1 star 

Review: Elementary and Middle School Mathematics: Teaching Developmentally
User Review  Patty  GoodreadsThe absolute best resource for "best practices" and content in mathematics. My dream would be that all math educators embraced and delivered instruction according to J Van de Walle. Read full review
Review: Elementary and Middle School Mathematics: Teaching Developmentally
User Review  Rusti  Goodreads1 copy available Read full review
Related books
Teaching Studentcentered Mathematics: Grades K3 John A. Van De Walle,LouAnn H. Lovin No preview available  2006 
Contents
Teaching Mathematics  2 
An Invitation to Learn and Grow  9 
Exploring What It Means  14 
Copyright  
78 other sections not shown
Common terms and phrases
activity addition and subtraction algebra algorithm answer applets approach ask students assessment baseten begin Blackline Master calculator cards challenge Chapter children's literature classroom computation concepts Connected Mathematics connections context count counters cubes Cuisenaire rods curriculum decimal dents develop digits discussion dots draw drill ematics equations estimate example Expanded Lesson explain explore Figure focus fractions geoboard geometry grade grade band graph graphing calculators grid groups help students ideas important instruction involved learners math mathematics education means measure methods middle school multiplication MyEducationLab NCTM NCTM Standards number line number sense parallelogram pattern pattern blocks pentominoes percent perimeter place value problem solving problembased programs questions ratio reasoning rectangle relationships shapes skills square Standards story problems strategies tangrams task teachers tenframe textbooks tion topics triangles understanding unit fraction units whole numbers write