The Math Studies Project for Internal Assessment

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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.

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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
• 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
• Page numberring where each part of the project can be found
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 relevantsimple 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
D: Interpretation of results
• Always give a thorough and detailed analysis and discussion of results
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