Ana Mamatelashvili, PhD
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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.

 

Final Exam Solutions
File Size: 1528 kb
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Study Guide for Final Exam
File Size: 61 kb
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Syllabus
File Size: 86 kb
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Solutions for Test 3
File Size: 550 kb
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Homework 6 Solutions
File Size: 596 kb
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Homework 5 Solutions
File Size: 561 kb
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Homework 4 Solutions
File Size: 963 kb
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Homework 3 Solutions
File Size: 700 kb
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Homework 2 Solutions
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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):
  • 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
File Size: 481 kb
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Homework 6
File Size: 42 kb
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Homework 5
File Size: 40 kb
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Homework 4
File Size: 41 kb
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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.

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
File Size: 41 kb
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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):
  • 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
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Homework 1 Solutions
File Size: 710 kb
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Homework 2
File Size: 42 kb
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Solutions for Test 1
File Size: 589 kb
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