Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Week 6 article
It is important to be able to think about something and analyze something
individually. Individual thinking and learning has been a pillar of the educational
community for a very long time. I have noticed that most professors in college
act
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Week 10 Article Reflection
The article read was The State of Science Education: Subject Matter Without
Context. What I would like to share with my classmates is that the nature of science is
integral in the learning and understanding of science. My favori
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Week 9 article
This week we had an article by Dufour, about a professional learning
community. Professional learning community is the whole education aspect of our
government and society. There is a bureaucracy of education.
The first Big Idea mentioned b
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Gerardo Diaz
Week 3 Teacher Reflection
My second week as a learning assistant was more eventful than the first one. For
professor Rosenthal, we must attend a 1hour study hall in case any students have
questions or want to do HW with a guide to help them o
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Learning Assistant Protocol
1. The LA used questions to really try to have the student understand. He tried
to explain the process of programming by using analogies and referring to
previous lessons.
2. Specific questions asked to bring out student ideas
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Week 4
The article this week was not as good as the last article I think, but it still is very
good. I think that the assessment of a students knowledge is critical to be able to
run a classroom. I constantly see people that come into class not really kno
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Week 8 article
The first line of the passage that really caught my attention was that A
sociocultural perspective on science education is skeptical and critical. As humans
we learn every day, We have individual ways of learning, as each person in a societ
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Gerardo Diaz
Week 3 Article Reflection
The article as of now has been my favorite article to read. It mentions a
couple points that really hit home for me. The first point that really made me reflect
on my own teaching style is that students are not blank
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Teacher reflection 9
This week was a tumultuous week for me in the classroom. Students are
definitely more comfortable with me now and actually want to come to my office
hours. I honestly wish I didnt have a class right after so I could stay longer. I see
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2015
Maja Vjestica
P ID: 5607685
Journal Entries 4, 5, 6 and 7
Journal Entry 4:
The student who I chose to observe first, then do the interview with as well was a boy named Jason, 1 st
grade, 6 years old. I chose him because I considered him a challenging choi
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2015
Maja Vjestica
PH ID: 5607685
Homework #2
In 1991, NCTM published Professional Standards for Teaching Mathematics, which articulated a vision of
teaching mathematics based on the expectations that were described in the Curriculum and Evaluation
Standards w
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2015
Maja Vjestica
Panther ID: 5607685
Homework 1
I generally like math as a subject and I never really had issues or difficulties with math throughout my
education. People would say I am a math person. I like it because it is very simple, it is logical and it
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2015
Maja Vjestica
Panther ID: 5607685
Journal Entry 1
The teacher has begun the math by separating students in 4 different groups. Since her 1 st grade class
had 20 students total, she made 4 groups of 5 students.
The first group was at the computer, doing th
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2015
Maja Vjestica
Panther ID: 5607685
Homework 4
Consider these two statements: "Show how you got your answer" and "Explain why you think your
answer is correct." What types of expectations does each of these statements make of students?
The first statement S
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2015
Maja Vjestica
P ID: 5607685
Homework #5
Describe the thinking a student can use to solve a problem such as 48/6. How would you as a teacher
help to facilitate this type of problem?
When a student sees this division algebraic problem that he needs to solve
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2015
Rojahnnah Arthur
Professor Natalie Paul
MAE4310
8 September 2015
Data Analysis Homework #!
Throughout my academic career, I have had many math classes from basic math in elementary
school, to analysis & function in high school, to college level trigonomet
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Summer 2015
MAE 4310 SEC 05
Quiz # 3
Reflections on Chapter 9
2. Give examples of three categories of fraction models.
Sample of Fraction Models
Area Models 3/4
Measurement Models
Set Models
Whole = 12
3 of 12 is 9
4
Why are set models more difficult for younger chil
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Summer 2015
MAE 4310
Literature Connection
1. Who sank the boat by Pamela Allen
 First Fifth grade
2. If you give a pig a pancake by Laura Numerof
 Second grade  Geometry & Measurements
3. One Hundred Days (Plus One) by Margaret McNamara
 Kindergarten  Counting
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Summer 2015
Suggested Grade Levels: Fourth Grade, Fifth Grade, Sixth Grade
Instructional Objectives/Outcomes:
The learner will compare fractions with unlike denominators using fraction pieces
and drawings. The learner will compare fractions with unlike denominators u
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Summer 2015
MAE 4310
Learning Math and Loving it With Manipulatives and Games
By: Lisa Lee Posted: May 1, 2007
What are educational manipulatives? According to the article
manipulatives are objects that students can use, as a handson picture of the
concepts they are
VoltageControlled Oscillator (VCO)
fosc
Desirable characteristics:
Monotonic fosc vs. VC characteristic
with adequate frequency range
Welldefined Kvco
fmax
slope = Kvco
fmin
VC
in
VD
KPD
F (s)
+
VC
VC
^
Kvco
s
out
out
^
Kvco
=
VC
^
s + KPD Kvco F (s
Equalization/Compensation of Transmission Media
Channel
(copper or fiber)
EECS 270C / Winter 2014
Prof. M. Green / UC Irvine
1
Optical Receiver Block Diagram
OE
TIA
18 dBm
10 A
EECS 270C / Winter 2014
LA
10 mV pp
EQ
CDR
DMUX
400 mV pp
Prof. M. Gree
Random Processes (1)
Random variable: A quantity X whose value is not exactly known.
Probability distribution function PX(x): The probability that a random variable
X is less than or equal to a value x.
PX(x)
1
Example 1:
Random variable
X [,+]
0.5
EECS 2
Synchronization Using PhaseLocked Loops
Example: 16:1 Multiplexer
Input parallel 16
data
625 Mb/s
Input reference
clock
625 MHz
16:1
Clock multiplier
unit
(CMU)
Output serial
data
10 Gb/s
10 GHz
highspeed
clock
How can we generate the 10 GHz clock to be
Advantages of Using CMOS
Compact (shared diffusion regions)
Very low static power dissipation
High noise margin (nearly ideal inverter voltage transfer characteristic)
Very well modeled and characterized
Mechanically robust
Lends itself very well to