Durham University
Programme and Module Handbook

Undergraduate Programme and Module Handbook 2006-2007 (archived)

Module FOUN0407: MATHEMATICS FOR TEACHERS

Department: FOUNDATION YEAR [Queen's Campus, Stockton]

FOUN0407: MATHEMATICS FOR TEACHERS

Type Open Level 0 Credits 10 Availability Available in 2006/07 Module Cap None. Location Queen's Campus Stockton

Prerequisites

  • None.

Corequisites

  • None.

Excluded Combination of Modules

  • Numerical Skills and Research Methods for Scientists (FOUN0331) and Numerical Skills and Research Methods for Social Scientists (FOUN0321).

Aims

  • To introduce and develop a bank of mathematical skills, which students can apply in a range of contexts.
  • To provide a foundation for future study in Education.
  • To develop students' learning skills.
  • To develop a problem solving approach.
  • To encourage students to develop confidence in their own abilities in maths.

Content

  • Number: Arithmetic (+,-,x,/) directed whole numbers, fractions and decimals. Introduction to alternative number systems
  • Efficient accurate use of a calculator.
  • Ratio, proportion (direct and inverse and using graphs).
  • Percentages.
  • Estimation, approximation and accuracy.
  • Index notation (integer indices).
  • Surds and rational indices.
  • Standard Index notation (a x 10m).
  • Introduction to logarithms.
  • Calculations using scientific formulae.
  • Algebra: Symbols.
  • Algebraic formulae, evaluation of terms.
  • Formulation and solution of algebraic equations in one unknown.
  • Use of brackets, collecting terms etc, algebraic expansion, elementary factorisations.
  • Simultaneous linear equations in two unknowns.
  • Functions as processes, concept of function, inverse function (simple cases).
  • Graphs: Cartesian coordinates, linear graphs, the equation y=mx + c.
  • Graphs from formulae, graph plotting, Rate of Change. Use of computer packages for graph generation and investigation
  • Solving equations graphically.
  • Exponential growth and decay.
  • Mensuration: Measurement, length, area (triangles, quadrilaterals, circles), Volume.
  • Angles, triangles, Pythagoras' theorem, Sine, Cosine and tangent for acute angles, Radians/degrees.
  • Quadrilaterals, Symmetry, order of rotational symmetry.
  • Matrices. Introduction to discrete analysis

Learning Outcomes

Subject-specific Knowledge:
    Subject-specific Skills:
    • By the end of the module the students will have acquired the skills to be able to:
    • use a calculator appropriately in relation to problems faced.
    • confidently manipulate items listed on the attached syllabus in a range of contexts.
    • carry out investigations on a range of topics
    Key Skills:
    • By the end of the module the students will:
    • be able to communicate effectively in writing
    • be able to demonstrate problem solving skills be able to use a computer package to improve learning
    • have improved their own learning and performance
    • be able to apply number both in the tackling of numerical problems and in the collecting, recording, interpreting and presenting of data

    Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

    • Theory, initial concepts and techniques will be introduced during lectures.
    • Much of the learning, understanding and consolidation will take place through the use of structured worksheets during tutorials and students' own time.
    • Ability to use and apply concepts and techniques will be tested in the end of the module exam.
    • Work on alternative number systems, matrices, discrete maths and computer generation of graphs will be developed and assessed through short investigative tasks.

    Teaching Methods and Learning Hours

    Activity Number Frequency Duration Total/Hours
    Lectures 20 weekly 1 hour 20
    Tutorials 10 fortnightly 1 hour 10
    Preparation and Reading 70
    TOTAL 100

    Summative Assessment

    Component: Examination Component Weighting: 60%
    Element Length / duration Element Weighting Resit Opportunity
    Two-hour end of module examination 100%
    Component: Investigative Tasks Portfolio Component Weighting: 40%
    Element Length / duration Element Weighting Resit Opportunity
    Investigative tasks portfolio 100%

    Formative Assessment:

    Students will be given self-testing units on a weekly basis.


    Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University