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Numeracy for Teaching
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Numeracy for Teaching

First Edition


November 2001 | 268 pages | SAGE Publications Ltd
`Comprises a very helpful resource for students who are obliged to succeed in passing the QTS numeracy test in order to gain QTS. It should provide a valuable resource for students to increase their confidence as well as their competence' - Mathematics in Schools

`The stated aim of this book is to help teacher-trainees prepare for the numeracy test all new entrants to the profession now have to pass. Any trainee worried about the test should find this a useful resource…. As in similar books by Derek Haylock, the mathematical content is written in a clear and accessible style' - Mike Askew, Times Educational Supplement

Quotes from the author's students

`The book is excellent. I think it will present students and others with a valuable resource, not only to help with the QTS test, but also for teaching. I could see myself using it on "dip-in-as-necessary" basis'.

`The practice questions were really helpful for checking and consolidating learning. The material was useful for the QTS test, particularly the mental calculations. Many thanks for letting me work through your sample material. I cannot begin to tell you how much more I have learnt! This has definitely made me feel more confident about passing the QTS numeracy skills test! I have definitely demonstrated to myself from this material that my ability to complete calculations mentally has increased. I can calculate faster and with some accuracy now!'

`Comprises a very helpful resource for students who are obliged to succeed in passing the QTS numeracy test in order to gain QTS. It should provide a valuable resource for students to increase their confidence as well as their competence' - Mathemtics in Schools

This book is designed to help teacher-trainees prepare for the Qualified Teaching Standards numeracy test that must now be passed by all entrants to the teaching profession. The author focuses especially on weaknesses in numeracy often observed in adults, and in teacher-trainees in particular. As far as possible, this mathematics is set in the professional context of teaching, drawing on statistics and other data from individual schools, the DfEE and the Qualifications and Curriculum Agency (QCA).

 
Mental Calculations, Changing Proportions to Percentages
 
Mental Calculations, Changing More Proportions to Percentages
 
Decimals and Percentages
 
Understanding Data Presented in Tables
 
Two-Way Tables for Comparing Two Sets of Data
 
Bar Charts and Frequency Tables for Discrete Data
 
Bar Charts for Grouped Discrete Data
 
Finding a Fraction of a Quantity
 
Fractions to Decimals and Vice Versa
 
Expressing a Percentage in Fraction Notation
 
The Commutative Law
 
The Associative Law
 
The Distributive Law
 
Using a Four-Function Calculator, Precedence of Operators
 
Using a Four-Function Calculator for Money Calculations
 
Using the Memory on a Four-Function Calculator
 
Using a Calculator to Express a Proportion as a Percentage
 
Rounding Answers
 
Very Large and Very Small Numbers
 
Mental Calculators, Multiplication Strategies
 
Mental Calculators, Division Strategies
 
Mental Calculators, Finding a Percentage of a Quantity
 
Finding a Percentage of a Quantity Using a Calculator
 
Adding and Subtracting Decimals
 
Mental Calculators, Adding Lists
 
More Multiplications Strategies
 
More Division Strategies
 
Multiplication with Decimals
 
Division with Decimals
 
Using Approximations to Check Your Answers
 
Mental Calculations, Time
 
Knowledge of Metric Units of Length and Distance
 
Knowledge of Metric Units of Area and Solid Volume
 
Knowledge of Other Metric Units
 
Mental Calculations, Money
 
Simplifying Ratios
 
Sharing a Quantity in a Given Ratio
 
Increasing or Decreasing by a Percentage
 
Expressing an Increase or Decrease as a Percentage
 
Finding the Original Value after a Percentage Increase or Decrease
 
Calculating Mean
 
Modes
 
Medians
 
Upper and Lower Quartiles
 
Measures of Spread, Range and Inter-quartile Range
 
Box-and-Whisker Diagrams
 
More Box-and-Whisker Diagrams
 
Percentiles
 
Reading Scatter Graphs
 
Scatter Graphs and Correlation
 
Conversion Graphs
 
Interpreting Pie Charts
 
Substituting into Formulas
 
Weighted Means
 
Combining Means or Percentages from Two or More Sets of Data
 
Understanding Cumulative Frequency Graphs
 
Cumulative Frequency Graphs, Finding the Median and Quartiles
 
Line Graphs for Representing Data over Time
 
Bar Charts for Comparing Two Sets of Data
 
The Notion of Value-Added
 
Interpreting Value-added Graphs

`Any trainee worried about the test should find this a useful resource…. As in similar books by Derek Haylock, the mathematical content is written in a clear and accessible style' - Mike Askew, Times Educational Supplement

`A very helpful resource for students who are obliged to succeed in passing the QTS numeracy test in order to gain QTS. It should provide a valuable resource for students to increase their confidence as well as their competence' - Mathematics in Schools


This is not a traditional text book that you read in order to gain knowledge. It is an identification of recognised student weakness and consequent correction through assessment. The value of this book is as a source of aplicable assessment material with answers and methods provided. The target audinece is clearly the trainee numeracy teacher.

Mr David Thompson
H.E Care, Grimsby Institute of HE & FE
October 2, 2015

I didn't feel the book followed the National Curriculum, will use for some lessons.

Miss Catherine Flint
Educational Foundations , Tameside College
January 12, 2012

Sample Materials & Chapters

Check-Up Exercise 2


For instructors

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ISBN: 9780761974611
£41.99

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ISBN: 9780761974604
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