Region+XIII-Whole+Number+Operations

toc = __ Conceptual Teaching of Whole Number Operations __ September 22nd and 23rd = = = Region XIII Presenter: Mary Headley

=Learning Objectives=
 * Efficient computation comes from conceptual understanding of numbers.
 * Efficient computation can be accomplished in many ways.
 * Understanding of numbers is based on base ten, composing and decomposing numbers flexibly.

=Learning Activities= Zib Activity - helps teachers grasp how confusing place value can be. Also, can be used in a classroom to teach regrouping.

Have children make up their own make believe word and play the game.

This is a great visual for the class to see the decimal proportions.

This is the basis of our whole seminar. Here is the article if you are interested in reading it or giving it to your teachers:

Here are the main points we learned.

=Benefits and Examples of Invented Strategies=
 * Base-ten concepts are enhanced.
 * Students make fewer errors.
 * Less reteaching is required.
 * Invented strategies provide the basis for mental computation and estimation.
 * Flexible, invented strategies are often faster than the traditional algorithms.
 * Invented strategies serve students at least as well on standard tests.

Great handout from __Teaching Student Centered Mathematics__ by John A. Van de Walle Invented Strategies for Addition, Subtraction, and Multiplication:







Invented Strategies for Division: see pg. 121-128

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=Helpful Websites= [|National Library of Virtual Math Manipulatives]

= Demonstrating Multi-Step Problems = = = __Here is tool that can be used to show children that there really is a question that has to be answered in a multi-step problem, even though the question is not stated.__ 1st Problem: It took 3 hours for the Jones family to drive the 195 miles to Washington. What was their average speed?

(Write a 2nd problem that uses the answer to the first problem.)

2nd Problem: The Jones children remember crossing the river 2 hours after they left home. About how far was the river from home?

(Combine the previous 2 questions to create a new problem. Leave out the question from the 1st problem.)

Final Problem: It took 3 hours for the Jones family to drive the 195 miles to Washington. The Jones children remember crossing the river 2 hours after they left home. About how far was the river from home?