# Patterns of Problem Solving

## Calendar (quizzes have 1-2 problems, students share unique solutions)

This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any apocalyptic events that may occur during the semester.

### 1:

Tuesday

#### Introductions

1. assign groups & syllabus quiz
2. discussion [+]
3. intro problems: 1-5 (p. 7-8), 16 (p. 23)
4. model presentation (name, strategy, solution)
Thursday

#### Chapter 1: Drawing diagrams

1. discuss problems from last class
2. discuss strategy and evidence
1. represent information spatially to reduce cognitive load
2. diagrams need explanation, a picture is work 1000 words, but the words need to be the same
3. chapter 1: 2, 5, 7, 9, 12, 15, 16

### 2:

Tuesday

Complete problems from last class

#### Chapter 2: Systematic lists

1. present chapter 1: 2, 5, 7, 9, 12, 15, 16
(name, strategy, solution, review key points)
2. discuss strategy and evidence
1. describe system
2. where is answer? (number of possiblities, last possible, etc.)
3. chapter 2: 1, 5, 7, 9, 10, 13, 14
Thursday

Complete problems from last class

#### Chapter 3: Eliminate possibilities

1. present chapter 1: 16
2. present chapter 2: 1, 5, 7, 9, 10, 13, 14
(name, strategy, solution, review key points)
3. discuss strategy and evidence
4. chapter 3: 1, 3, 4, 5, 7, 15

Homework reminder (due in one week)

Friday* * Last day to drop full-semester courses with no record.

### 3:

Tuesday

start next homework

#### Chapter 3: Eliminate possibilities

1. homework questions
2. work time
3. present chapter 3: 1, 3, 4, 5, 7, 15
(name, strategy, solution, review key points)
Thursday

Chapter 3b: 1, 2, 3 ,4, 5 (hints, scoring)

#### Chapter 4: Use Matrix Logic

1. collect homework
2. previous: 3.5
3. discuss: strategy and evidence
• requires 1-1 correspondence
• convention X=not and O=success
4. chapter 4: 1, 8, 11, 16

### 4:

Tuesday

#### Chapter 4: Use Matrix Logic

1. return homework and present (volunteers)
2. homework questions?
3. work time (hints on 4.16)
4. volunteers to present Chapter 4: 1, 8, 11, 16
(name, strategy, solution, review key points)
Thursday

Chapter 4b: 1, 2, 3, 4, 5 (hints, scoring)

#### Chapter 5: Look for patterns

1. discuss strategy and evidence
1. sequences: 0, 1, 1, 2, 3, 5, _, _, _
2. sequences: 3, 3, 5, 4, _, _, _
3. how to find patterns?
2. chapter 5: 2, 7, 8, 9, 10, 14, 18

### 5:

Tuesday

#### Chapter 5: Look for patterns

1. return homework and present (volunteers)
2. work time
3. present chapter 5: 2, 7, 8, 9, 10, 14, 18
(name, strategy, solution, review key points)
Thursday

Exam 1

• chapters 1-5
• one page of notes (1 sided, handwritten)

### 6:

Tuesday

New groups

• discuss exam

#### Chapter 6: Guess and check

1. discuss strategy and evidence
2. chapter 6: 4, 8, 9, 11, 15, 19
Thursday

start next homework

#### Chapter 6: Guess and check

1. discuss homework
2. work time
3. present chapter 6: 4, 8, 9, 11, 15, 19
(name, strategy, solution, review key points)

### 7:

Tuesday

Chapter 5b: 2, 4 (notes, scoring)

Chapter 6b: 1, 3, 5 (notes, scoring)

#### Chapter 7: Identify subproblems

1. discuss strategy and evidence
2. chapter 7: 2, 3, 7, 11, 12, 14, 17 (see 16 for hints)
Thursday

start next homework

#### Chapter 7: Identify subproblems

1. discuss homework
2. work time
3. present chapter 7: 2, 3, 7, 11, 12, 14, 17 (see 16 for hints)

### 8:

Tuesday

Chapter 7b: 1, 2, 3, 4, 5 (notes, scoring)

Group project introduction

#### Chapter 8: Analyze units

1. chapter 7: 17 (see 16 for hints)
2. discuss strategy and evidence
3. chapter 8: 1, 7, 10, 13, 15
Thursday

start next homework

#### Chapter 8: Analyze Units

1. discuss homework
2. present chapter 8: 1, 7, 10, 13, 15

#### Chapter 9: Easier related problem

1. discuss strategy and evidence
1. for example, using 7.16 to help with 7.17
2. chapter 9: 1, 2, 5, 7, 8, 9, 10, 11, 14

~~~ Spring break ~~~

### 9:

Tuesday

Chapter 8b: 1, 2, 3, 4, 5 (notes, scoring)

Exam 2 schedule

#### Chapter 9: Easier related problem

1. present chapter 9: 1, 2, 5, 7, 8
2. continue chapter 9: 9, 10, 11, 14
Thursday

Group project proposals due via dropbox

#### Chapter 9: Easier related problem

1. present homework
2. work time
3. present chapter 9: 9, 10, 11, 14

### 10:

 Tuesday Class canceled (Wisconsin Dells grant meeting) Thursday Exam 2 (proctored) Friday* Deadline to register for Math Retreat * Last day to withdraw from individual full-semester classes.

### 11:

Tuesday

New groups

• discuss exam

#### Chapter 10: Physical representation

1. discuss strategy and evidence
2. chapter 10: 5, 7, 17a, 17b, 18, 20, 21
1. Coke vs Sprite problem (alternate version of #18)
Thursday

start next homework

#### Chapter 10: Physical representation

1. discuss homework
2. present chapter 10: 5, 7, 17a, 17b, 18, 20, 21
Friday* Math Retreat applications due (see email for link)

### 12:

Tuesday

Chapter 9b: 1, 3, 5 (notes, scoring)

Chapter 10b: 2, 4 (notes, scoring)

#### Chapter 11: Work backwards

1. discuss strategy and evidence
2. chapter 11: 1, 3, 5, 7, 9, 11, 15
Thursday

Finish Chapter 11 problems

#### Chapter 12: Venn diagrams

1. discuss strategy and evidence
2. chapter 12: 10, 11, 12, 14

### 13:

Monday*

Math Retreat

Tuesday

#### Chapter 13: Algebra

1. review last homework
2. discuss strategy and evidence
3. chapter 13: 5, 11, 12, 13, 15
4. chapter 16: 12
Thursday

Start homework

Group project collaboration scores

#### Chapter 13: Algebra

1. present chapter 13: 5, 11, 12, 13, 15
2. chapter 16: 12

### 14:

Tuesday

Chapter 11b: 3, 5 (notes, scoring)

Chapter 12b: 2, 4 (notes, scoring)

Chapter 13b: 1 (notes, scoring)

#### Chapter 14: Finite differences

1. discuss strategy and evidence
1. work problem 14.1c
2. example
2. chapter 14: 4, 5, 6, 8
Thursday Class canceled (WMC conference)

### 15:

Tuesday

#### Chapter 14: Finite differences

1. present homework
2. present chapter 14: 4, 5, 6, 8
3. chapter 15: 3, 6, 11
4. chapter 16: 2, 3, 4, 7, 13

Evaluations

Thursday

#### Finish chapters

1. present chapter 15: 3, 6, 11
2. present chapter 16: 2, 3, 4, 7, 13