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

  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

Read Introduction and Chapter 1

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

Read Chapter 2

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

Read Chapter 3

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)

Read Chapter 4

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
    • adjunct lists also helpful
  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)

Read Chapter 5

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

read Chapter 6

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)

read chapter 7

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

read chapter 9

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

Read Chapter 10

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)

Read Chapter 11

Chapter 11: Work backwards

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

Finish Chapter 11 problems

Read Chapter 12

Chapter 12: Venn diagrams

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

13:

Monday*

Math Retreat

Tuesday

Group project solutions

Read Chapter 13

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

Final exam

(University finals schedule)