MATHEMATICS PROJECT ON MODELING ANIMAL POPULATIONS
Objectives for Students
- Understand how mathematical models can be used to represent a situation.
- Be able to form a mathematical model of a life related situation.
- Derive and interpret results from consideration of a mathematical model.
- Explore strengths and weaknesses of a mathematical model.
- Develop a set of procedures to be used in approaching modelling problems.
- Develop a range of statistical concepts.
- Use a range of problem solving skills.
- Enhance the communication skills of mathematics results in a variety of forms.
- Develop logical arguments expressed in everyday language, mathematical language and a combination of both to support conclusions.
- Motivate students in the use of computer technology.
- Development of multidisciplinary links between Mathematics, Geography, History and Science.
Objectives for Teachers
- Assist in the incorporation of technology into mathematics curricula.
- Assist in the transformation of mathematics curricula into a more
- Development of links between teachers and schools.
- Concepts of function, domain, range and variables
- Mappings, tables and graphs as representations of functions and relations
- Graphs as a representation of the points whose coordinated satisfy an equation
- Practical applications of linear, quadratic, logarithmic and exponential functions
- Index and logarithmic laws and definitions
- Definitions of a^x, log(a)x and e
- Graphs of and the relationships between y=a^x, y=log(a)x
- Simulation of the growth of a population and explanation of the effects of changes of constraints and parameters.
- Population parameters and sample statistics including measures of central tendency and dispersion, their estimates and roles as descriptors of large data sets; the notion of expectation
- Random sampling and bias; the role of sample size
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