Math 414, Mathematics Curriculum and Instruction
(5:35-6:50 MW in C-8)


Syllabus: Here is the syllabus.

Online resources:
Homework:

Assigned
Due date Read
Exercises
1/19

Ch. 1
No exercises yet.
1/24
1/31
Ch. 7.1.1-3
1.5, 9, 10-12
Turn in on 1/26: 1.9c
1/31
2/7
Ch. 7.1.3, 4
7.1.1.1, 4
7.1.2.3, 6
7.1.3.3, 4
Turn in on 2/2: 7.1.2.5
Turn in on 2/7: 7.1.3.4cd
2/7
2/14
Ch. 7.1.4, 7.2.1
7.1.3.11, 15, 17
7.1.4.3, 5, 8
Turn in on 2/9: 7.1.4.4
Turn in on 2/14: Does an isometry have to be onto? What does the internet/library say about this? If so, prove it, if not, give a counterexample.
2/14
2/21
Ch. 7.2.1
Homework holiday. Prepare for the upcoming exam on 2/21.
2/21
2/28
Ch. 7.2.1, 2
7.1.3.9, 10
7.1.4.2, 6, 7
Turn in on 2/28: 7.2.1.4
2/28
3/7
Ch. 7.2.2, 3
7.2.1.3, 5
7.2.2.4, 9, 10, 12
Turn in on 3/7: 7.2.3.2
3/7
3/14
Ch. 7.2.3, 4
7.2.2.13
7.2.3.3, 11-13
Turn in on 3/9: What is the definition of congruence of angles according to the California K-12 standards? How do high school textbooks define angle congruence?
3/14
3/21
Ch. 7.2.3, 4
7.2.3.5-10
Turn in on 3/21: Prove Theorem 7.10(b). (Hint: this is an easy corollary of Theorem 7.9(b).)
3/21

Ch. 7.2.5
Homework holiday. Prepare for the upcoming exam on 3/23.
3/23
4/18
Ch. 7.2.5,
Handout from Knowing and Teaching Elementary Mathematics (Introduction and Ch. 3)
7.2.4.2-6
Reading assignment 1
4/13
4/22

Turn in on 4/22: Prove that the composition of reflections across three lines that are concurrent is a reflection. (This is Case 2 on p. 324.)
4/18
4/25
Ch 7.2.5, 8.1.1
7.2.5.3-6, 8
Turn in on 4/25: 7.2.5.4
4/25
5/2
Ch 8.1.2, 3
8.1.1.4, 5, 8-10
Turn in on 4/27: 8.1.1.7
Reading assignment 2 is due on 5/9.
Turn in on 5/2: Prove that the standard Euclidean distance on R2 satisfies the triangle inequality.
5/2
5/9
Ch 8.1.2, 3
8.1.2.4, 5, 10-12
Remember that Reading assignment 2 is due on 5/9.


Exam solutions:
Educational links:
Math links: The links below lead to sites with encyclopedias of math terms.  You can use them to find definitions, examples, and some theorems.
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