Planning Learning: Samina's session
This Standards Unit: Improving Learning in Mathematics video shows a level 2 Free Standing Mathematics Qualification session on estimation of length and standard form with learners in an inner city FE College. In this session you will be able to hear Samina set the context for the session, see four excerpts from the session itself…
Planning Learning: David's session
This Standards Unit: Improving Learning in Mathematics video shows part of a GCSE mathematics session on probability with a group of evening class learners in an FE College. In the session you will be able to hear David set the context for the session, see four excerpts from the session itself and hear David and his learners'…
Facilitating Discussion
In this Standards Unit: Improving Learning in Mathematics video there are extracts from three sessions which you can use to explore the teacher's or trainer's role in promoting and facilitating discussion. Sequence As you watch the video sequence consider the following questions: • What would need to be included…
Developing an Exam Question: Number N10
In this resource from the DfE Standards Unit students learn to use past examination questions creatively by selecting and using appropriate techniques and strategies to solve problems involving numerical, graphical and algebraic manipulation. Most students will have solved problems such as these arithmetically, but they may not…
Planning Learning: Diane's session
This Standards Unit: Improving Learning in Mathematics video shows an A level mathematics session on functions with learners in a tertiary college. Diane designed her own activities for the session using the approaches exemplified in this resource. You will be able to hear Diane set the context for the session, see four excerpts…
Improving Learning in Mathematics: Challenges and Strategies
This Standards Unit: Improving Learning in Mathematics book explains the underlying principles behind the development of the 'Active Learning' approaches in the materials. The Standards Unit: Improving Learning in Mathematics resources were produced as a response to the Smith report. The resources use "Active learning"…
Questioning Whole Groups 1
In these Standards Unit: Improving Learning in Mathematics videos you can see a session where whole group questioning is taking place. Sequence When viewing the Sequence video you should consider: • What different types of questions do the teachers/trainers use and what are the advantages of these? • How do the teachers/trainers…
3/5- Publication year: 2000 - 2009
- Video
Solving Problems Using Newton's Second Law O3
In this resource, from the Department for Education Standards Unit, students will learn to understand how Newton’s second law can be applied to a range of different problems. It will encourage learners to link the stages of solutions together and appreciate the purpose and relevance of each stage of a solution. Students should…
Questioning Small Groups
In these Standards Unit: Improving Learning in Mathematics videos you will be able to see how a teacher uses questioning when working with small groups. Sequence As you watch the video sequence consider the following questions: * What sorts of questions does the teacher use? * How does she respond to the answers? …
Learner-learner Discussion
In this Standards Unit: Improving Learning in Mathematics video you can see three separate discussions taking place. Sequence As you watch the video sequence consider the following questions: • Are all the learners that you see participating in the discussion? • How is each learner gaining from the discussion? •…
Moving from Eulerian Graphs to the Route Inspection (Chinese Postman) Problem O1
In this resource, from the Department fof Education Standards Unit, students learn to distinguish, by drawing and by using the order of the vertices, between Eulerian graphs, semi-Eulerian graphs and graphs that are neither; and to find strategies for solving the route inspection or ‘Chinese postman’ problem. Students…
Exploring Equations of Motion 02
In this resource, from the Department for Education Standards Unit, students learn to use past paper examination questions creatively. The questions give them practice in using the equations of motion for constant acceleration and allow them to develop their ability to generalise from specific situations of motion. Students should…
Using Probability Computer Games S3
In this resource from the DfE Standards Unit, students confront and overcome common misconceptions about probability, count equally likely outcomes using diagrams, discuss relationships between theoretical probabilities, observed outcomes and sample sizes and calculate probabilities of dependent and independent events. Students will…
- 5/5
- Publication year: 2000 - 2009
- Group work
Interpreting Bar Charts, Pie Charts, Box and Whisker Plots S5
In this resource from the DfE Standards Unit, students will learn to understand and interpret bar charts, pie charts, and box and whisker plots. This session is in two linked parts. The first is matching pie charts to bar charts and secondly matching box and whisker plots to bar charts. Each part of the session starts with a whole…
- 5/5
- Publication year: 2000 - 2009
- Group work
Understanding Mean, Median, Mode and Range S4
In this DfE Standards Unit resource, students learn to understand the terms: mean, median, mode, range and explore the relationships between these measures and their relationship to the shape of a distribution. Students will have met the terms mean, median, mode and range but they may not have a clear understanding of their meaning…
- 5/5
- Publication year: 2000 - 2009
- Group work
Representing 3D Shapes SS6
In this resource from the DfE Standards Unit, students interpret 2D representations of 3D shapes, analyse 3D shapes using plans, elevations, and isometric drawings and develop their reasoning ability in spatial contexts. Many students may have met these ideas before, but they may still experience difficulties in this area. In this…
Interpreting Frequency Graphs, Cumulative Frequency Graphs, Box and Whisker Plots S6
In this resource from the DfE Standards Unit, students interpret frequency graphs, cumulative frequency graphs, and box and whisker plots, all for large samples, and then see how a large number of data points can result in the graph being approximated by a continuous distribution (GCSE Grades A - D)
Performing Number Magic A9
In this resource from the DfE Standards Unit, students analyse simple number 'tricks', and explain how they work, using algebra. They then try to create their own variants of the trick, making it more impressive. Students will: develop an understanding of linear expressions and equations; make simple conjectures and generalisations;…
Ordering Fractions and Decimals N1
In this resource from the DfE Standards Unit, students learn to interpret decimals and fractions using scales and areas, find equivalent fractions, order and relate fractions and decimals and to reflect on and discuss these processes. Students will have met these concepts before. Many, however, may still have misconceptions and…
Manipulating Surds N11
In this resource from the DfE Standards Unit students identify equivalent surds and develop their ability to simplify expressions involving surds. Students should understand what a square root is and be able to remove brackets correctly. (GCSE grades A-D; AS and A2 level)
- 5/5
- Publication year: 2000 - 2009
- Group work
Using Misconceptions
In these Standards Unit:Improving Learning in Mathematics videos you can find out what is meant by a misconception, explore activities that bring out misconceptions and reflect on how they might be used positively. Overview In the overview you can see a short sequence covering of the ways of challenging and addressing misconceptions…
Interpreting Algebraic Expressions A1
In this resource from the DfES Standards Unit, students learn to translate between words, symbols, tables, and area representations of algebraic expressions, recognise the order of operations, recognise equivalent expressions and understand the distributive laws of multiplication and division over addition (expansion of brackets).…
- 5/5
- Publication year: 2000 - 2009
- Group work
Transforming Shapes SS7
In this DfE Standards Unit resource, students learn to recognise and visualise transformations of 2D shapes and translate, rotate, reflect and combine these transformations. Students unfamiliar with the terms ‘rotation’, ‘reflection’ and ‘translation’ will need some introduction to these. The session…
- 5/5
- Publication year: 2000 - 2009
- Group work
Interpreting Distance-Time Graphs with a Computer A5
In this DfE Standards Unit resource, students interpret linear and non-linear distance-time graphs using the computer programme Traffic. This program provides a simple yet powerful way of helping learners to visualise distance–time graphs from first principles. The program generates situations involving traffic moving up and…
- 5/5
- Publication year: 2000 - 2009
- Group work
Classifying Shapes SS1
In this resource from the DfE Standards Unit, students learn to name and classify polygons according to their properties, develop mathematical language to describe the similarities and differences between shapes and develop convincing explanations as to why combinations of particular properties are impossible. (GCSE Grades D-F)
Meeting the Needs of All Learners
In this Standards Unit: Improving Learning in Mathematics video you will be able to reflect on a range of approaches that help to meet the needs of all learners. There are many strategies that teachers and trainers use in order to ensure that every learner is given a challenge appropriate to his or her level of attainment and preferred…
Evaluating Algebraic Expressions A4
In this resource from the DfE Standards Unit, students learn to distinguish between and interpret equations, inequations and identities and substitute into algebraic statements in order to test their validity in special cases. Students often use letters in algebra without understanding what they mean. Common misconceptions include…
- 5/5
- Publication year: 2000 - 2009
- Group work
Using Indices N12
In this resource from the DfE Standards Unit students are introduced to fractional and negative indices to enable them to evaluate numerical expressions using negative and fractional indices and use the rules of indices with integer and fractional powers of variables. Students should have some knowledge of the rules of indices for…
Case Studies
In these Standards Unit: Improving Learning in Mathematics videos you have the opportunity to explore some of the experiences of the teachers and trainers in taking part in the pilot project. Mandy's experience Mandy Cave is a teacher at Carmel College in St Helens. The film shows two of her sessions and her talking about…
Evaluating Probability Statements S2
In this resource from the DfE Standards Unit, students discuss and clarify some common misconceptions about probability. This involves discussing the concepts of equally likely events, randomness and sample sizes. They will also learn to reason and explain. This session assumes that learners have encountered probability before. It…
- 5/5
- Publication year: 2000 - 2009
- Group work
Creating and Solving Equations A2
In this resource from the DfE Standards Unit, students learn to create and solve their own equations, where the unknown appears once. Most students will have been taught rules for solving equations such as ‘change the side, change the sign’ or ‘you always do the same to both sides’. When used without understanding,…
- 3/5
- Publication year: 2000 - 2009
- Group work
Understanding the Laws of Arithmetic N5
In this resource from the DfE Standards Unit, students learn to interpret numerical expressions using words and area representations, recognise the order of operations and equivalent expressions and understand the distributive laws of multiplication and division over addition (the expansion of brackets). Most students will have…