Patterns of Problem Solving

Calendar

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 #. assign groups & syllabus quiz #. discussion - What is a problem? what is an exercise? - What is problem solving (PS)? - What are major phases of PS? (understanding, plan and execute, reflect) #. intro problems: 1-5 (p. 7-8), 16 (p. 23) #. model presentation (name, strategy, solution)
### Thursday Due today #### Chapter 1: Drawing diagrams #. discuss problems from last class #. discuss strategy and evidence - represent information spatially to reduce cognitive load - diagrams need explanation, a picture is worth 1000 words, but words are needed to keep interpretations consistent #. chapter 1: 2, 5, 7, 9, 12, 15, 16

2:

### Tuesday Due today #### Chapter 2: Systematic lists #. present chapter 1 (name, strategy, solution, review key points) #. discuss strategy and evidence - describe system - where is answer? (number of possibilities, last possible, etc.) #. chapter 2: 1, 5, 7, 9, 10, 13, 14
### Thursday Due today #### Chapter 3: Eliminate possibilities #. present chapter 2 (name, strategy, solution, review key points) #. discuss strategy and evidence #. chapter 3: 1, 3, 4, 5, 7, 15

Homework reminder (due in one week)

3:

### Tuesday Due today #### Chapter 3: Eliminate possibilities #. homework questions #. work time #. present chapter 3: 1, 3, 4, 5, 7, 15 (name, strategy, solution, review key points)
### Thursday Due today #### Chapter 4: Use Matrix Logic #. collect homework #. previous: 3.5 #. discuss: strategy and evidence - requires 1-1 correspondence - convention X=not and O=success - adjunct lists also helpful - Puzzle Baron's Logic Puzzles #. chapter 4: 1, 8, 11, 16

4:

### Tuesday #### Chapter 4: Use Matrix Logic #. return homework and present (volunteers) #. homework questions? #. work time (hints on 4.16) #. volunteers to present Chapter 4: 1, 8, 11, 16 (name, strategy, solution, review key points)
### Thursday Due today #### Chapter 5: Look for patterns #. discuss strategy and evidence #. sequence: 0, 1, 1, 2, 3, 5, _, _, _ #. sequence: 3, 3, 5, 4, _, _, _ #. how to find patterns? #. chapter 5: 2, 7, 8, 9, 10, 14, 18

5:

### Tuesday #### Chapter 5: Look for patterns #. return homework and present (volunteers) #. work time #. present chapter 5 (name, strategy, solution, review key points) #. Harry Potter potion riddle #. false patterns?
### Thursday #### Exam 1 - chapters 1-5 - one page of notes (1 sided, handwritten)

6:

### Tuesday Due today New groups & discuss exam #### Chapter 6: Guess and check #. discuss strategy and evidence #. chapter 6: 4, 8, 9, 11, 15, 19
### Thursday Due today #### Chapter 6: Guess and check #. discuss homework #. work time #. present chapter 6 (name, strategy, solution, review key points)

7:

### Tuesday Due today #### Chapter 7: Identify subproblems #. discuss strategy and evidence #. chapter 7: 2, 3, 7, 11, 12, 14, 17 (see 16 for hints)
### Thursday Due today #### Chapter 7: Identify subproblems #. discuss homework #. work time #. present chapter 7: 2, 3, 7, 11, 12, 14, 17 (see 16 for hints)

Spring break:

8:

### Tuesday Due today Group project introduction #### Chapter 8: Analyze units #. chapter 7: 17 (see 16 for hints) #. discuss strategy and evidence #. chapter 8: 1, 7, 10, 13, 15
### Thursday Due today #### Chapter 8: Analyze Units #. discuss homework #. present chapter 8: 1, 7, 10, 13, 15 #### Chapter 9: Easier related problem #. discuss strategy and evidence #. example, using 7.16 to help with 7.17 #. chapter 9: 1, 2, 5, 7, 8, 9, 10, 11, 14

9:

### Tuesday Due today Exam 2 schedule #### Chapter 9: Easier related problem #. present chapter 9: 1, 2, 5, 7, 8 #. continue chapter 9: 9, 10, 11, 14
### Thursday Due today #### Chapter 9: Easier related problem #. present homework #. work time #. present chapter 9: 9, 10, 11, 14

10:

### Tuesday #### Flex day
### Thursday #### Exam 2

### Friday Deadline to register for Math Retreat???

11:

### Tuesday Due today New groups & discuss exam #### Chapter 10: Physical representation #. discuss strategy and evidence #. chapter 10: 5, 7, 17a, 17b, 18, 20, 21 #. Coke vs Sprite problem (alternate version of #18)
### Thursday Due today #### Chapter 11: Work backwards #. discuss homework and Group project #. discuss strategy and evidence #. chapter 11: 1, 3, 5, 7, 9, 12, 15

12:

### Monday #### Math retreat #. Present Group projects
### Tuesday #### No class to make up for Math retreat yesterday!
### Thursday Due today #### Chapter 12: Venn diagrams #. discuss strategy and evidence #. chapter 12: 10, 11, 12, 14 #. present chapter 12
### Thursday Due today #### Chapter 13: Algebra #. review last homework #. discuss strategy and evidence #. chapter 13: 5, 11, 12, 13, 15 #. chapter 16: 12

13:

### Tuesday Due today #### Chapter 13: Algebra #. discuss homework #. present chapter 13 #. present chapter 16 #. discuss strategy and evidence #. work problem 14.1c #. example
### Thursday Due today #### Chapter 14: Finite differences #. chapter 14: 4, 5, 6, 8 #. present chapter 14

Exam 3

- Similar to in-class exams - One page notes, one-sided, handwritten - Calculator allowed

(University finals schedule)