MATH 2870-145
Mathematics for Elementary Education III
Fall 2014
Contact Information:
Instructor: Dr. Ana Mamatelashvili
Office: Parker 334 -- all office hours will be held here starting Monday, September 22
Office phone: (334) 844 3645
Email: azm0105@auburn.edu
Office hours: M 11-12, T 3:30-4:30, W 11-12, R 3:30-4:30 and by appointment.
Office hours during finals week: M,W 11-1 and by appointment.
Course Information:
Time: TR 2:00-3:15
Place: Parker 354
Text: Reconceptualizing Mathematics by J. Sowder, L. Sowder, S. Nickerson. ISBN 978-1-4641-0335-3.
Credit Hours: 3
Final Exam will be given on Friday, December 12, from 4pm to 6pm.
Instructor: Dr. Ana Mamatelashvili
Office: Parker 334 -- all office hours will be held here starting Monday, September 22
Office phone: (334) 844 3645
Email: azm0105@auburn.edu
Office hours: M 11-12, T 3:30-4:30, W 11-12, R 3:30-4:30 and by appointment.
Office hours during finals week: M,W 11-1 and by appointment.
Course Information:
Time: TR 2:00-3:15
Place: Parker 354
Text: Reconceptualizing Mathematics by J. Sowder, L. Sowder, S. Nickerson. ISBN 978-1-4641-0335-3.
Credit Hours: 3
Final Exam will be given on Friday, December 12, from 4pm to 6pm.
| Final Exam Solutions |
| Study Guide for Final Exam |
| Syllabus |
| Solutions for Test 3 |
| Homework 6 Solutions |
| Homework 5 Solutions |
| Homework 4 Solutions |
| Homework 3 Solutions |
| Homework 2 Solutions |
Test 3 will be held in Thursday November 20, 2014.
Few tips for what to focus on when studying for Test 3:
There will be 25 questions total, each worth 2 points. They will be grouped into different problems.
Test will be 50 minutes long and will be given at the end of the class period. You will have a chance to ask last-minute questions during the first 25 minutes of the class period.
The test will cover Sections 31.1, 31.2, 32.1, 32.2, 33.1 and 33.2.
I will definitely ask about the following (but I might ask about any other topics from the above sections as well):
Be prepared to explain/interpret/give examples for the following concepts (3-5 questions):
Few tips for what to focus on when studying for Test 3:
There will be 25 questions total, each worth 2 points. They will be grouped into different problems.
Test will be 50 minutes long and will be given at the end of the class period. You will have a chance to ask last-minute questions during the first 25 minutes of the class period.
The test will cover Sections 31.1, 31.2, 32.1, 32.2, 33.1 and 33.2.
I will definitely ask about the following (but I might ask about any other topics from the above sections as well):
- Correlation coefficient and lines of best fit (like problems 31.2/1, 2, 5);
- Confidence intervals and confidence levels (like problems 32.1/2, 3, 6, 7, 9, 11 and 32.2/1, 4, 5);
- Expected value (like problems 33.1/3, SLE4, SLE5);
- Permutations and combinations (like problems 33.2/2, 5, 6, 7, 8, 10, 12, SLE8, SLE9).
Be prepared to explain/interpret/give examples for the following concepts (3-5 questions):
- Positive correlation and negative correlation;
- Rule of thumb (1/sqrt(n)), confidence intervals and confidence levels;
- Expected value, permutations, combinations, Fundamental Counting Principle.
| Solutions for Test 2 |
| Homework 6 |
| Homework 5 |
| Homework 4 |
Test 2 will be held on Thursday October 23, 2014.
Few tips for what to focus on when studying for Test 2:
There will be 25 questions total, each worth 2 points. They will be grouped into different problems.
Test will be 50 minutes long and will be given at the end of the class period. You will have a chance to ask last-minute questions during the first 25 minutes of the class period.
The test will cover Sections 29.3-29.5 and 30.1-30.5.
I will definitely ask about the following (but I might ask about any other topics from the above sections as well):
Representing Categorical Data:
- Pie charts and Bar graphs (like problems 30.1/SLE 1a,b, SLE 4);
Representing Measurement Data:
- Stem-and-leaf plots and histograms (like problems 30.2/SLE 1, SLE 4);
- Five number summary (detect outliers) (like problems 30.3/3a, 4, 5, 6);
- Measurements of the center (like problems 30.4/1, 3, SLE 2);
- Mean and deviations (like problems 30.5/1, SLE 1).
Be prepared to explain and give examples/interpretations for the following concepts (3-5 questions):
- Categorical and measurement data;
- Statistical variable;
- Range, nth percentile, quartiles, outliers;
- median, mean, mode;
- average deviations, variance, standard deviation.
Few tips for what to focus on when studying for Test 2:
There will be 25 questions total, each worth 2 points. They will be grouped into different problems.
Test will be 50 minutes long and will be given at the end of the class period. You will have a chance to ask last-minute questions during the first 25 minutes of the class period.
The test will cover Sections 29.3-29.5 and 30.1-30.5.
I will definitely ask about the following (but I might ask about any other topics from the above sections as well):
Representing Categorical Data:
- Pie charts and Bar graphs (like problems 30.1/SLE 1a,b, SLE 4);
Representing Measurement Data:
- Stem-and-leaf plots and histograms (like problems 30.2/SLE 1, SLE 4);
- Five number summary (detect outliers) (like problems 30.3/3a, 4, 5, 6);
- Measurements of the center (like problems 30.4/1, 3, SLE 2);
- Mean and deviations (like problems 30.5/1, SLE 1).
Be prepared to explain and give examples/interpretations for the following concepts (3-5 questions):
- Categorical and measurement data;
- Statistical variable;
- Range, nth percentile, quartiles, outliers;
- median, mean, mode;
- average deviations, variance, standard deviation.
Please find the 3rd Homework assignment below.
Extra information about class participation: Maximum amount of participation points you could gather for this class is 78. Any amount between 65 points and 78 points counts as 100% participation. So you can lose 13 participation points without any penalty.
| Homework 3 |
Test 1 will be held on Thursday September 18, 2014.
Deadline for completing Homework 2 has been extended to Thursday next week, September 25.
Few tips for what to focus on when studying for Test 1:
There will be 25 questions total, each worth 2 points. They will be grouped into different problems. For instance, there might be a problem about a tree diagram and have 4 questions each worth 2 points.
Test will be 50 minutes long and will be given at the end of the class period. You will have a chance to ask last-minute questions during the first 25 minutes of the class period.
The test will cover sections from 27.1 through 29.2 (including).
I will definitely ask about the following (but I might ask about any other topics from the above sections as well):
Be prepared to explain and give examples for the following concepts (3-5 questions):
Deadline for completing Homework 2 has been extended to Thursday next week, September 25.
Few tips for what to focus on when studying for Test 1:
There will be 25 questions total, each worth 2 points. They will be grouped into different problems. For instance, there might be a problem about a tree diagram and have 4 questions each worth 2 points.
Test will be 50 minutes long and will be given at the end of the class period. You will have a chance to ask last-minute questions during the first 25 minutes of the class period.
The test will cover sections from 27.1 through 29.2 (including).
I will definitely ask about the following (but I might ask about any other topics from the above sections as well):
- Simulations (like problem 27.3/2);
- Tree diagrams (like problem 28.1/7);
- "and" and "or" probability calculations (like problems 28.2/3 and 28.3/3);
- Conditional probability (like problems 28.4/9 and 11).
Be prepared to explain and give examples for the following concepts (3-5 questions):
- Experiment, sample space, outcome, event;
- Experimental and theoretical probabilities;
- Disjoint events, independent events, conditional probability;
- Population, sample, representative sample, biased sample;
- Sample statistic, population parameter;
- Sampling methods: self-selected/voluntary sampling, convenience sampling, simple random sampling, stratified random sampling, systematic sampling and cluster sampling.
| Homework 1 |
| Homework 1 Solutions |
| Homework 2 |
| Solutions for Test 1 |