Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
MAE 4310 Sect. U01
HW #2: Chapters 9  12
Due date: 4 November 2009
HW #3
Chapter 9: #1, 5, 8
1. Solving a problem with direct modeling is the use of manipulative or drawings along with
counting to represent directly the meaning of an operation or story p
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

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
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Teaching through Problem Solving
INDIVIDUAL PAPER #2 Guidelines
In class, we read about and discussed the importance of and method for teaching through
problem solving. This method of teaching is focused on helping students build
understanding about mathe
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
INDIVIDUAL REFLECTION Guidelines
Now that you have completed the paper and taught the lesson it is time to reflect on the
process.
Part 1: Readdressing the four questions about problem effectiveness. Now that you have
seen the problem presented in class,
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Teaching through Problem Solving
GROUP PAPER Guidelines
In class, we read about and discussed the importance of and method for teaching through
problem solving. This method of teaching is focused on helping students build
understanding about mathematics.
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Question 1:
1. Describe the difference between teaching FOR problem solving and teaching
THROUGH problem solving. Be clear what the teachers and students do
differently in these two types of teaching.
a. The difference between teaching for problem solving
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Teaching through Problem Solving #2
GROUP PAPER Guidelines
In class, we read about and discussed the importance of and method for teaching through
problem solving. This method of teaching is focused on helping students build
understanding about mathematic
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

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

Fall 2009
INDIVIDUAL REFLECTION Guidelines
Now that you have completed the paper and taught the lesson it is time to reflect on the
process.
Part 1: Readdressing the four questions about problem effectiveness. Now that you have
seen the problem presented in class,
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Teaching through Problem Solving
INDIVIDUAL PAPER #1 Guidelines
In class, we read about and discussed the importance of and method for teaching through
problem solving. This method of teaching is focused on helping students build
understanding about mathe
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Individual Analysis of Group Collaboration Name Cynthia Chang
Directions: Circle a rating from (1) Low to (4) High for each group member.
Member Name Dorin Rodriguez_
(1) Contributed ideas to group goal: 1
2
3
4
Explain: Contributed what activities should
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
MAE 4310 Sect. U01
HW #2: Chapters 5 8
Due date: 9 October 2009
HW #2
Chapter 5: #1. 4
1. A child must be able to do in order to count a set accurately by the development of at
least two separate skills. First, the child must be able to produce the standa
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
MAE 4310 Sect. U01
HW #1: Chapters 1 4
Due date: 14 September 2009
HW #1
Chapter 1: #3, 5
3. Among the ideas in Mathematics Teaching Today, there are six shifts in the classroom
environment. The six shifts in the classroom are as followed:
Communities th
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Part I
1. In the contextual problem with the quilt, I believe that what Melissa
did with the quilt was correct. She started with a quilt that was 1 foot
by 1 foot. From the quilt, a customer wanted a quilt four times that
size; she would multiply 1 foot b
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Part I
1. If Mr. Jones uses all 30 pints that he bought to set up his
super bowling game and follows the pattern in the passage, I
figure out the pattern first by trial and error. After reviewing
some of the other students method, I figure out a procedura
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Time How many Seconds in a minute
Roosevelt Elementary school
Exploring minutes and seconds
Showing times on clocks showing the hours and the
minutes
Set: The teacher asked the students what they had
been learning before about the clock.
They havent
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Arianna Mendez / Journal # 2
In my second visit to Mrs. Rosello 2nd grade ESOL program classroom, they
had a small birthday party in the class. Because it was a Math class,
something pretty accurate happened: the teacher took advance of the
cupcakes and s
Content and Methods of Teaching Elementary Mathematics
MAE 4310

Fall 2009
Group 1
Arianna Mendez
Lesson Plan
I.
Subject: Mathematics
Topic: Measurement
Grade: Second
II.
III.
Time: 1 hour and 30 minutes
Instructional Objective: The students will study the units of measurements using
charts and actual real life experience of cre