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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

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
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
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
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 topic1
Choice of Topic
  • Algebraic Modelling
    • Quadratic
    • Exponential
    • Trigonometric
  • Calculus
  • i. Optimization Problems
  • ii. Modelling
choice of topic2
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
Title page
  • The Project must have a clear title
  • Candidate’s name
  • Candidate’s number
  • Date
  • Subject
  • Teacher’s Name
table of contents
Table of contents
  • Page numberring where each part of the project can be found
a introduction
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
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
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 processes1
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
D: Interpretation of results
  • Always give a thorough and detailed analysis and discussion of results
e validity
E: Validity
  • Validity of mathematical processes used
  • Validity of results obtained from these processes
f structure and communication
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
Conclusion
  • Did the data and calculations support your task?
  • Discuss limitations in its applicability within the project.
  • Scope for improvement /extension of the project
bibliography
Bibliography
  • State websites
  • Footnotes as necessary
  • Other sources of information
appendices
Appendices
  • Raw data collected can be placed here