Multiplying Decimals
This resource, from the Centre for Innovation in Mathematics Teaching, illustrates the common mistakes students make when multiplying two decimal values. It suggests that the language used could be adjusted so that the term times is interchanged with of, thus one-tenth of one-tenth is equal to one one-hundredth. Practice of multiplying…
Calculations with Hundreds and Thousands
This resource, from the Centre for Innovation in Mathematics Teaching, builds on students' previous knowledge of multiplying by powers of 10 to demonstrate how calculations such as 2000 x 300 can be performed accurately. Follow-up exercises provide practice in the skills learned.
Calculations with Negative Numbers
Straightforward logic is used in this resource, from the Centre for Innovation in Mathematics Teaching, to establish the calculation, necessary to move correctly along a number line, when the starting point is at a negative value. Phrases such as owing and debt are used to help students deal with directed number in context. Further…
Adding with Negative Numbers
A number line is used in this resource, from the Centre for Innovation in Mathematics Teaching, to illustrate how to solve a calculation involving negative numbers. To help correct misconceptions regarding these, the term taking away is used to represent minus and giving back for plus. Thus -8 +6 is read as taking away 8 and giving…
Dividing Whole Numbers by Fractions
This resource, from the Centre for Innovation in Mathematics Teaching, uses diagrams to illustrate division by a fraction and, to clarify the common misconception identified with this task, prompts students to rethink the statement, divide three by one quarter, as the number of quarters that fit into three. Practice of dividing…
4/5- Publication year: 1990 - 1999
- Teacher guidance
Decimals and Their Equivalent Fractions
This resource, from the Centre for Innovation in Mathematics Teaching, explores the misconception that decimals and fractions are different types of numbers. It illustrates how to write a decimal value as a fraction, as well as how, by using division, most fractions can be expressed with denominators of 10, 100 or 1000 to find their…
Multiplications Can Increase or Decrease
This resource, provided by the Centre for Innovation in Mathematics Teaching, explores why multiplication does not always increase the size of a number. It explains how, by putting the term multiplying into a context with which students can identify and making a situation meaningful, this common misconception can be addressed. Practice…
Rounding Numbers
Students' misconceptions when rounding to the nearest 1000 is the focus of this resource from the Centre for Innovation in Mathematics Teaching. It illustrates how, when asked to round a value to the nearest 1000, some students mistakenly round to the nearest 10, then the nearest 100 and finally to the nearest 1000, giving an…
Probability
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on probability and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and…
Percentages
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on percentages and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and…
Numbers
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on numbers and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…
Mensuration
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on mensuration and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and…
Handling Data
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on handling data and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an historical background of a particular…
Geometry
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on geometry and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…
Fractions
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on fractions and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…
Equations
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on equations and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…
Decimals
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on decimals and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a particular topic and the…
Algebra
Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on algebra and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a specific topic and the key…
New National Curriculum Mathematics 4
This book, published by Stanley Thornes, covers all level four material from the 1995 version of the National Curriculum split into four sections: number, algebra, space, shape and measures and handling data. Using and applying mathematics is integrated throughout the book. Each section begins with revision work from the previous…
New National Curriculum Mathematics 3
This book, published by Stanley Thornes, covers all level three material from the 1995 version of the National Curriculum split into three sections: number, space, shape and measures and handling data. Using and applying mathematics is integrated throughout the book. Each section begins with revision work from the previous level…
Mathematical Games from Around the World
The skills of strategy, forward thinking and logical thought are ones which make a good mathematician. Students can learn these skills through certain board games. This resource, produced by the Centre for Teaching Mathematics at the University of Plymouth, contains playing instructions for six mathematical games from around the…
Thinking Puzzles
This resource, produced by the Centre for Teaching Mathematics at the University of Plymouth, contains ten ‘puzzles to get the brain working!’ Each puzzle is designed to make students think laterally, consider the question carefully and not give the most obvious answer. The puzzles could be used as lesson starter…
Technological Maths
This report was prepared by Professor Richard Kimbell and Richard Green of the Technology Education Research Unit (TERU) as a result of a project commissioned by The Engineering Council in June 1996. The brief for the project was to examine the use of mathematics as a tool to support Technology Enhancement Programme (TEP) activities…
Holidays / Traffic
Holidays theme links to directions, graphs, length and area, number operations, percentages, polygons, ratio, scale drawing, scheduling and time, 3-D modelling and weighing. Holidays covers Designing a model campsite: using nets, plans and 3-D models of a variety of shapes to design a tent. A tent making business: using tent…
Food / Animals
The Food theme, from Century Maths covers decimals, factors and multiples, length and area, number patterns, surveys, percentages, probability, ratio and scale drawing using practical work and practical application of the mathematics. How much space? - using measuring and logic to determine how to seat people around a dinner…
Our Inheritance: Common Ground for the Mathematics and Biology Teacher
This booklet is unusual in this series as it develops one theme, genetic inheritance , to show the use of mathematical ideas and terminology in science and serves as good preparation material for CPD work between departments. The areas covered are: the inheritance of a single character, the inheritance of two characters, the genetics…
Mathematical Modelling
This booklet is primarily aimed at the mathematics teacher, but should also be of interest to teachers of science. It sets out a number of case studies suitable for mathematical modelling. The book starts with an explanation of the mathematical modelling process then suggests specific areas of study which include: Forecasting:…
Mathematics and Chemistry: the Classroom Interface
This resource looks at areas of the chemistry curriculum where mathematics is used, creating an opportunity for co-operation between chemistry and mathematics teachers. This booklet serves as good preparation material for CPD work between departments. Section One considers how proportion is used in chemical equations, the need…
Links between Geography and Mathematics
This resource looks at three detailed case studies in the form of student projects which clearly illustrate how mathematics and geography can be effectively linked. This booklet serves as good preparation material for CPD work between departments. Food and settlement This case study looks at Nomads and talks about the areas…
Mathematical Modelling with Calculus
This booklet is primarily aimed at the mathematics teacher, but should also be of interest to teachers of science. It sets out a number of case studies suitable for mathematical modelling with calculus. The book starts with an explanation of the mathematical modelling process then suggests specific areas of study which include: King…
Functions and Physics
This resource looks at three areas of the physics curriculum where functions are used, creating an opportunity for cooperation between physics and mathematics teachers. This booklet serves as good preparation material for CPD work between departments. Hooke’s Law and the idea of a function Part one explores the data produced…
Mathematics with Polydron
Polydron is a system of strong, colourful shapes capable of being fitted together to make nets of shapes that can be folded to make a 3D models. Mathematics with Polydron describes thirty six activities, in seven sections, designed to promote exploration and creativity as a vehicle for understanding. Each activity details the…
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