Homework that Empowers all Students
Homework that Empowers all Students Tyler Auer | @mathfireworks | mathfireworks.com
mathfireworks.com
Research Models Assignments
What does research say about homework?
- Has value - Less evidence of value in elementary - Middle → 90 minute max - High School → 2.5 hour max
Why else does homework matter?
Source: Otten,Cirillo, and Herbel-Eisenmann (2015) - "Making the Most of Going Over Homework"
The Traditional Homework Cycle
Alternative Models
"Nothing works everywhere, and everything works somewhere." Dylan Williams
Don't Assign Homework Benefits: - Shows students you value their time and only assign homework when it is meaningful Disadvantages: - Missed learning opportunities - Parents may think you are "easy"
Provide All the Answers Benefits: - Instant feedback - Easy to implement Disadvantages: - Hard to monitor Modifications: - Have students note incorrect answers or summarize errors
Lag Homework Content Benefits: - More students are successful - Exposure to content is spread over a longer period of time Disadvantages: - Can be a bit more confusing at first because class does not match homework
Homework Schedule Benefits: - Predictable schedule for students Disadvantages: - Loss of flexibility Modifications: - Only schedule certain days of the week. (Ex: Monday night is always review)
All Week on Monday Benefits: - Flexibility for students Disadvantages: - Requires time management - Less teacher flexibility Modifications: - Works really well when combined with lagging homework content
Choose a Set of Problems Benefits: - Students self-differentiate - Students must reflect on their needs Disadvantages: - Takes additional time to develop Modifications: - Be upfront about the differences in the sets
What is homework used for?
Practice Assessment Preparation or Exploration Building Independence Reflection Direct Instruction
Practice Assessment Preparation or Exploration Building Independence Reflection Direct Instruction
Homework is the most consistent way we communicate with parents about our teaching.
Traditional Homework
Alternative Homework Assignments
Practice Plus
123 x 567 132 x 567 213 x 567 231 x 567 312 x 567 321 x 567
Set #1:
Set #2:
Set #3:
245 x 4
12 x 432
11 x 567
196 x 5
13 x 432
22 x 567
7 x 140
14 x 432
33 x 567
14 x 70
15 x 432
44 x 567
Set #4:
Set #5:
Set #6:
3 x 4115
Predict which product will be largest Predict which product will be largest before you start: before you start:
2469 x 5
10001 x 333
25 x 25
15 x 823
10010 x 333
26 x 24
10100 x 333
27 x 23
11000 x 333
28 x 22
12,321 ÷ 10 1,000 ÷ 10 9,342 ÷ 9 669 ÷ 9 321 ÷ 6 414 ÷ 6 414 ÷ 5 5,555,555,555,555,552 ÷ 5 123,456,789,876,543,210 ÷ 5 1,000,000,000,000,000,000,000,000,000,000,000,004 ÷ 4 1,042 ÷ 4 333 ÷ 3 666 ÷ 3 999 ÷ 3 369 ÷ 3 101 ÷ 3
Exploration and Launches
Source: Would You Rather Math
Partition each shape into fourths. Source: Open Middle
Reflection and Summarization
Source: Connected Mathematics 3 - Prime Time
More examples and information can be found on my blog.
For this problem, I am glad to say I did not try to rely as heavily on peer observations and help. There were a couple instances, however, when I needed some assistance from my classmates. Nancy asked me what I had found, and I told her I had only six solutions. (...) I am glad she did not just give me the answer, but I still could not find ten on my own, so I asked Mike for help the next class period. (All names changed)
Flipped Classroom
Research Models Assignments
Homework that Empowers all Students Tyler Auer | @mathfireworks | mathfireworks.com
mathfireworks.com
Research Models Assignments
What does research say about homework?
- Has value - Less evidence of value in elementary - Middle → 90 minute max - High School → 2.5 hour max
Why else does homework matter?
Source: Otten,Cirillo, and Herbel-Eisenmann (2015) - "Making the Most of Going Over Homework"
The Traditional Homework Cycle
Alternative Models
"Nothing works everywhere, and everything works somewhere." Dylan Williams
Don't Assign Homework Benefits: - Shows students you value their time and only assign homework when it is meaningful Disadvantages: - Missed learning opportunities - Parents may think you are "easy"
Provide All the Answers Benefits: - Instant feedback - Easy to implement Disadvantages: - Hard to monitor Modifications: - Have students note incorrect answers or summarize errors
Lag Homework Content Benefits: - More students are successful - Exposure to content is spread over a longer period of time Disadvantages: - Can be a bit more confusing at first because class does not match homework
Homework Schedule Benefits: - Predictable schedule for students Disadvantages: - Loss of flexibility Modifications: - Only schedule certain days of the week. (Ex: Monday night is always review)
All Week on Monday Benefits: - Flexibility for students Disadvantages: - Requires time management - Less teacher flexibility Modifications: - Works really well when combined with lagging homework content
Choose a Set of Problems Benefits: - Students self-differentiate - Students must reflect on their needs Disadvantages: - Takes additional time to develop Modifications: - Be upfront about the differences in the sets
What is homework used for?
Practice Assessment Preparation or Exploration Building Independence Reflection Direct Instruction
Practice Assessment Preparation or Exploration Building Independence Reflection Direct Instruction
Homework is the most consistent way we communicate with parents about our teaching.
Traditional Homework
Alternative Homework Assignments
Practice Plus
123 x 567 132 x 567 213 x 567 231 x 567 312 x 567 321 x 567
Set #1:
Set #2:
Set #3:
245 x 4
12 x 432
11 x 567
196 x 5
13 x 432
22 x 567
7 x 140
14 x 432
33 x 567
14 x 70
15 x 432
44 x 567
Set #4:
Set #5:
Set #6:
3 x 4115
Predict which product will be largest Predict which product will be largest before you start: before you start:
2469 x 5
10001 x 333
25 x 25
15 x 823
10010 x 333
26 x 24
10100 x 333
27 x 23
11000 x 333
28 x 22
12,321 ÷ 10 1,000 ÷ 10 9,342 ÷ 9 669 ÷ 9 321 ÷ 6 414 ÷ 6 414 ÷ 5 5,555,555,555,555,552 ÷ 5 123,456,789,876,543,210 ÷ 5 1,000,000,000,000,000,000,000,000,000,000,000,004 ÷ 4 1,042 ÷ 4 333 ÷ 3 666 ÷ 3 999 ÷ 3 369 ÷ 3 101 ÷ 3
Exploration and Launches
Source: Would You Rather Math
Partition each shape into fourths. Source: Open Middle
Reflection and Summarization
Source: Connected Mathematics 3 - Prime Time
More examples and information can be found on my blog.
For this problem, I am glad to say I did not try to rely as heavily on peer observations and help. There were a couple instances, however, when I needed some assistance from my classmates. Nancy asked me what I had found, and I told her I had only six solutions. (...) I am glad she did not just give me the answer, but I still could not find ten on my own, so I asked Mike for help the next class period. (All names changed)
Flipped Classroom
Research Models Assignments
Homework that Empowers all Students Tyler Auer | @mathfireworks | mathfireworks.com
