the math studies project for internal...
Post on 06-May-2018
213 Views
Preview:
TRANSCRIPT
The Math Studies Project
for Internal Assessment A good project should be able to be
followed by a non-mathematician and be
self explanatory all the way through.
Length
The project does not have a word limit. It is the
quality of the mathematics and the processes
used and described that is important, rather
than the number of words written.
Commitment
The project is a substantial piece of work
(counts for 20% of the final IB grade)
The project should demonstrate a commitment
of time and effort by the student
Choice of Topic
The choice of topic must give students
sufficient scope to demonstrate their
mathematical ability.
Statistical
Chi-Squared test for Independence
Correlation/Linear regression
Student ‘t’ test
Spearman’s rank order correlation
Choice of Topic
Algebraic Modelling
Quadratic
Exponential
Trigonometric
Calculus
i. Optimization Problems
ii. Modelling
Choice of Topic
Number and algebra
i Sequences and series
ii Linear programming
Sets, Logic and Probability
i Venn diagrams
ii Probabilities
Financial Mathematics
Title page
The Project must have a clear title
Candidate’s name
Candidate’s number
Date
Subject
Teacher’s Name
A: Introduction
Task: What is the aim of the project?
The task must focus on a distinct objective with a clear hypothesis or direction
The task must be clearly stated
Plan: What must be done to achieve this aim?
Include as much detail as is necessary to be clear
Include a description of method of data collection including any sampling techniques, this will be useful for validity
Include a description of the mathematical processes to be used and the reason for choosing these processes
B: Information / Measurement The information/measurements collected may come from a
survey, internet, calculation, etc
The information/measurements must be sufficient in quantity
When the information/measurements is to be split, as in the chi squared test, more than 50 pieces of data is necessary to avoid small expected values, rendering the test invalid.
The information/measurements must be relevant
The information/measurements must be organised
The information/measurements should be reorganised each time, to suit calculations being done eg. Male, female categories
If a questionnaire is used then include this in the project
A questionnaire should be designed to collect multidimensional mathematical data
Raw data must be included to determine the accuracy of calculations
C: Mathematical Processes
Always include some relevant simple math processes What is the mathematical process used? Explanation of
mathematical technique
Why is this particular procedure useful? Relevance/validity of mathematical technique
Always state formulae used and do one calculation by hand. The GDC can be used to perform further similar calculations
Always check the accuracy of your results
Interpret results/draw conclusions from the results of the calculations
(Standard deviation is often calculated but not used or commented on.)
C: Mathematical Processes Apply relevant sophisticated processes as thoroughly as for
simple process.
Interpret results/draw conclusions from the results of the calculations
Comment on validity of results
Check the accuracy of the results
For Chi-squared tests to be valid:
Frequencies must be used, not raw data or percentages
No more than 20% of the expected cells should have a number less than 5
No expected cells should have a number less than 1
For Linear correlation
There is no point in finding the correlation coefficient or regression line if the scatter graph shows that there is no correlation
E: Validity
Validity of mathematical processes used
Validity of results obtained from these processes
F: Structure and Communication
The project should include the discussion in the body of the work
Appropriate mathematical language should always be used
The project should be presented correctly and in a systematic manner.
All sources should be acknowledged
Include website addresses in bibliography
Include raw data in body of document or in appendix
Conclusion
Did the data and calculations support your task?
Discuss limitations in its applicability within the
project.
Scope for improvement /extension of the
project
top related