Module Descriptors
INTEGRATING NUMERACY, LANGUAGE AND LITERACY INTO THE LEARNING OF VOCATIONAL AND OTHER SUBJECTS
XXXX56802
Key Facts
Faculty of Business, Education and Law
Level 5
15 credits
Hours of Study
Scheduled Learning and Teaching Activities: 30
Independent Study Hours: 120
Total Learning Hours: 150
Assessment
- ASSIGNMENT weighted at 100%
Module Details
Module Resources
Scientific calculator
Teaching practice with learners at Level 2 or below Numeracy skills
Delivering Skills for Life - pack: Free from DfES
(www.dfes.gov.uk/readwriteplus)
Access to the DfES - Embedded Learning Portal
Teaching practice with learners at Level 2 or below Numeracy skills
Delivering Skills for Life - pack: Free from DfES
(www.dfes.gov.uk/readwriteplus)
Access to the DfES - Embedded Learning Portal
Module Learning Strategies
The following teaching methods and learning strategies may be appropriate to the delivery
and development of the knowledge, understanding and skills covered by this unit:
- lecture and exposition
- workshop activities
- question and answer
- practical activities
Individual learning will focus on extending skills acquired during the contact sessions
and development of the knowledge, understanding and skills covered by this unit:
- lecture and exposition
- workshop activities
- question and answer
- practical activities
Individual learning will focus on extending skills acquired during the contact sessions
Module Indicative Content
Measures of probability from theoretical models or from relative frequency. Appreciate when to add or multiply probabilities. Use tree diagrams to represent outcomes of compound events. Use the concept of z-scores to convert a variable from any normal distribution to a standard normal distribution; work with the standard normal distribution tables to find probabilities. Draw and produce, using paper and ICT (via spreadsheets) statistical diagrams including scatter graphs, frequency diagrams (frequency polygons, cumulative frequency diagrams), and boxplots. Calculate (or estimate) measures of location (mean) for raw and grouped data. Use relevant statistical functions on a calculator and on a spreadsheet package. Compare different data sets and make inferences, using the shapes of distributions and measures of average and spread. You will be able to calculate measures of spread including standard deviation, range, interquartile range, mean absolute deviation, and variance. Use relevant statistical functions on a calculator or spreadsheets to measure spread. Estimate statistics such as median, quartiles, and percentiles for small and large data sets.
Understand the concepts of estimation of population parameters from sample information and obtain unbiased estimates for the population mean and standard deviation. Have an appreciation of the distribution of the sample mean and the central limit theorem. Compute confidence intervals for the population mean when the population standard deviation is either known or unknown. Appreciate the concepts of statistical testing; setting null and alternative hypotheses; carry out hypothesis tests for the population mean when both - is known and unknown; use the chi-squared test to test for the independence of factors in a contingency table. Appreciate that correlation is a measure of the strength of the association between two variables; distinguish between positive, negative and zero correlation using lines of best fit; appreciate that zero correlation does not imply 'no relationship' but merely 'no linear relationship'. Understand and be able to calculate the product-moment correlation coefficient and Spearman's rank correlation coefficient. Find the equation for the line of best fit and use this line for prediction purposes. You will be able to use a spreadsheet to find measures for correlation and the line of best fit. Use the results of arithmetic progressions and geometric progressions to solve financial problems such as simple interest, compound interest, internal rate of return, APR, and loan repayments. Use spreadsheets to investigate these financial problems further.
You will be given the opportunity to explore the links between mathematics and numeracy, both in theory and in practical, vocational situations. This will include:
? The use of number calculations in the analysis of data.
? The relationship between ratio and maps, plans and scale drawings
? The role of algebra in the generalisation of number relationships and patterns.
? Graphical representation of algebraic relationships to support conceptual understanding and visualisation of solutions/trends.
There will also be an opportunity to look at how mathematics is used in wider society to inform decision making (such as the way statistics are presented, voting and government initiatives) and how the lack of Numeracy, Literacy and Language skills can disadvantage an individual.
Understand the concepts of estimation of population parameters from sample information and obtain unbiased estimates for the population mean and standard deviation. Have an appreciation of the distribution of the sample mean and the central limit theorem. Compute confidence intervals for the population mean when the population standard deviation is either known or unknown. Appreciate the concepts of statistical testing; setting null and alternative hypotheses; carry out hypothesis tests for the population mean when both - is known and unknown; use the chi-squared test to test for the independence of factors in a contingency table. Appreciate that correlation is a measure of the strength of the association between two variables; distinguish between positive, negative and zero correlation using lines of best fit; appreciate that zero correlation does not imply 'no relationship' but merely 'no linear relationship'. Understand and be able to calculate the product-moment correlation coefficient and Spearman's rank correlation coefficient. Find the equation for the line of best fit and use this line for prediction purposes. You will be able to use a spreadsheet to find measures for correlation and the line of best fit. Use the results of arithmetic progressions and geometric progressions to solve financial problems such as simple interest, compound interest, internal rate of return, APR, and loan repayments. Use spreadsheets to investigate these financial problems further.
You will be given the opportunity to explore the links between mathematics and numeracy, both in theory and in practical, vocational situations. This will include:
? The use of number calculations in the analysis of data.
? The relationship between ratio and maps, plans and scale drawings
? The role of algebra in the generalisation of number relationships and patterns.
? Graphical representation of algebraic relationships to support conceptual understanding and visualisation of solutions/trends.
There will also be an opportunity to look at how mathematics is used in wider society to inform decision making (such as the way statistics are presented, voting and government initiatives) and how the lack of Numeracy, Literacy and Language skills can disadvantage an individual.
Module Texts
Access for All (2001) DfES. London
Numeracy Core Curriculum (2001) DfES London
Skipworth, G (2000), Statistics 1, Heinemann Educational. London
Skipworth, G (2001), Statistics 2, Heinemann Educational. London
Kenwood, M (2000), Pure Mathematics 1, Heinemann Educational. London
Kenwood, M (2000), Pure Mathematics 2, Heinemann Educational. London
Numeracy Core Curriculum (2001) DfES London
Skipworth, G (2000), Statistics 1, Heinemann Educational. London
Skipworth, G (2001), Statistics 2, Heinemann Educational. London
Kenwood, M (2000), Pure Mathematics 1, Heinemann Educational. London
Kenwood, M (2000), Pure Mathematics 2, Heinemann Educational. London
Module Additional Assessment Details
A probability and statistics assignment with a reflective journal that links the personal skills in with embedded learning
Wordage: equivalent 3,000 words
Weighting: 100%
Wordage: equivalent 3,000 words
Weighting: 100%