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Elementary and Middle School Mathematics: Teaching Developmentally

John A. Van de Walle, Karen S. Karp, Jennifer M. Bay-Williams

Chapter 12

Developing Strategies for Addition and Subtraction Computation - all with Video Answers

Educators


Chapter Questions

04:23

Problem 1

How are standard algorithms different from studentinvented strategies? Explain the benefits of invented strategies over standard algorithms.

Nicholas Mogoi
Nicholas Mogoi
Numerade Educator
01:57

Problem 2

Illustrate three different strategies for adding $46+39$. Which ones are easy to do mentally? Is there a strategy that is easier because 39 is close to 40 ? For each strategy you work with, think about how you could record it on the board so that students will be able to follow what is being done. What models (empty number line, etc.) would work best?

Angela Guo
Angela Guo
Numerade Educator
02:01

Problem 3

Use two different adding-up strategies for $93-27$ and for $545-267$. Make up a story problem that would encourage an adding-up strategy.

Suman Saurav Thakur
Suman Saurav Thakur
Numerade Educator
01:09

Problem 4

Why is an assessment that gets at student understanding so important when teaching standard algorithms?

Allison Knapp
Allison Knapp
Numerade Educator
01:42

Problem 5

How is computational estimation different from other types of estimation?

Monique Whittaker
Monique Whittaker
Numerade Educator
04:02

Problem 6

Why might computational estimation be uncomfortable for students?

Carson Merrill
Carson Merrill
Numerade Educator
01:45

Problem 7

What are some important considerations for teaching computational estimation?

Carson Merrill
Carson Merrill
Numerade Educator
00:11

Problem 8

What is the purpose of activities like “Over or Under?” in
which students do not actually produce an answer?

Brandon Fox
Brandon Fox
Numerade Educator