ED1S030 - Essential Mathematics for Teaching 01 Sep 2020 - 31 Mar 2027 | Version 3

Associated Module Information

Module Code: ED1S030
Module Title: Essential Mathematics for Teaching
Faculty: Faculty of Life Sciences and Education
Faculty Group: ITE and Education Practice
Faculty Sub Group: Early Years
Module Leader: Carol Wood
Module Team: Melanie Smith
First Intended Intake: JAN 2014 Final Year of Intake: 2024
Date Closed:
Credit Value: 20 Credit Level: 4
Language: English
Percentage of Module Taught in Welsh: 0
Equivalent Module:
HECOS codes: 100459 - education studies
HECOS Code Weighting: 100

Document Version Information

Version 3
Valid From 01 Sep 2020
Valid To 31 Mar 2027

Module Aims

To enable students to develop oral, written and practical mathematical skills.

To further develop investigational and problem solving techniques applied to real-life situations.

To extend students’ existing subject knowledge and to equip students with subject-specific language and the communication skills to be able to express themselves clearly.

Content Summary

The module aims to develop student knowledge, skills and confidence to a standard of Mathematics GCSE grade B equivalency.

Topics studied include:

Number and Measure

The relationship between fractions, decimals, and percentage; equivalence between these forms; ratio and proportion in everyday context.

Problem solving, with and without a calculator and the value of estimation, approximation and mental arithmetic methods.

Conversion between measures and applications to real life situations.

Working with indices; calculation of AER and APR.

Algebra

Exploration of number patterns, use of symbolic form, algebraic techniques, manipulations and application.

Collecting like terms, substitution, solving, multiplying brackets, transposition and simple factorisation.

Linear, quadratic and simultaneous equations.

Using algebraic techniques when inequalities and involved, using correct mathematical symbols.

Data Handling

Collection (including sampling), classification, tabulation, interpretation and construction of statistical diagrams and charts.

Measures of central tendency; when to use mean, mode and median.

Probability, calculating outcomes and prediction of events.

Scatter diagrams, testing relationships using paired data, line of best fit and summarising the type of relationship in words as valid conclusions.

Shape, Position and Movement

Properties and angles of triangles, quadrilaterals, polygons and circles, leading to calculation of perimeter, area, surface area and volume of plane shapes and solids.

Pythagoras’s Theorem.

Trigonometry.

Cartesian co-ordinates, graphical representation and coordinate geometry.

Learning and Teaching Methods

Activity Type Hours
Lecture 22
Independent Study 100
Directed Study 76
Formative Assessment - Scheduled 2
Total Hours Selected 200

Learning Outcomes

# Learning Outcome
LO1 To communicate mathematically, using appropriate terminology, notation and explanations and set out mathematical work in a clear and logical form using appropriate symbols and terms.
LO2 To perform calculations, to analyse problems; apply appropriate mathematical techniques and draw conclusion from these investigations.

Module Requisites

N/A

Assessment Criteria

Assessment Category Assessment Type Description Duration Word Count Weight (%) Best of? Pass Mark
Set Exercise - Time Constrained (EX) Classroom Test Time Constrained (EX) 1 In Class Test 120 N/A 50 No 40
Written Assignment (CW) Report (CW) 1 An exercise in analysing and presenting data on a given topic. 0 2000 50 No 40

Assessment Matrix

Assessment Type Learning Outcomes
LO1 LO2
Classroom Test Time Constrained (EX) 1
Report (CW) 1

Reading List

Breach, M. (2011) Fundamental maths. Basingstoke: Palgrave Macmillan.

Boaler, J. (2016) Mathematical mindsets: unleashing students’ potential through creative math, inspiring messages, and innovative teaching. San Francisco, CA: Jossey-Bass.

Clausen-May, T. (2013) Teaching mathematics visually and actively. 2nd edn. London: SAGE.

Geher, G. (2016) Straightforward statistics: understanding the tools of research. Oxford: Oxford University Press.

Holton, D. A. (2013) More problem solving: the creative side of mathematics. Leicester: The Mathematical Association.

Mason, J., Graham, A. and Johnstone-Wilder, S. (2005) Developing thinking in algebra. London: Paul Chapman.

Salkind, N. J. (2016) Statistics for people who (think they) hate statistics. 6th edn. Thousand Oaks, CA: SAGE.

Journals

Mathematical Gazette

Mathematics in School

Mathematics Teaching

Teaching mathematics and its applications

Wales Journal of Education

Websites

Mathematical Association. [Online]. Available at: http://www.m-a.org.uk/ (13 July 2017)

WJEC/CBAC. [Online]. Available at: http://www.wjec.co.uk/ (13 July 2017)