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Mathematics

 

Mathematics

 

Why study Mathematics?

 

 

The study of mathematics will help our pupils to:

  • Appreciate order and structure in a variety of situations.
  • Appreciate the role and importance of mathematics in the world around them.
  • Tackle problems in a logical fashion.
  • Develop skills in manipulating, comprehending and communicating quantifiable information.
  • Develop resourcefulness in adapting these skills to resolve different situations.
  • Reinforce concepts such as number, time, weight, shape etc.
  • Consolidate numeracy skills by providing frequent opportunities to reinforce these throughout the syllabus.
  • Reinforce problem solving skills by providing frequent opportunities to reinforce these throughout the syllabus and by taking part in competitions both internal and external.

 What are the features of effective learning and teaching in Mathematics?

 

·         Personalisation and choice in the nature of classroom tasks to support skills development.

·         All tasks encourage creativity and imagination in pupils and develop their problem solving skills and knowledge.

·         A combination of independent, self-paced learning and co-operative learning among pupils to complete larger tasks.

·         A passion for Mathematics and how it affects the workings of the real world around us.

 

How do we build on prior learning?

 

 • Increasing challenging contexts develop learners’ practical skills and depth of understanding.

 • Course content connects with learners’ experiences and interests in the real world.

 

What are the broad features of assessment in Mathematics?

 

 • Assessment will focus on practical, problem-solving and collaborative activities.

 • Summative assessments throughout the year.

 • Peer and self-assessment also play a significant part when progressing through the course.

 • Formative assessment (oral and written feedback) by teacher.

 

Connections with other areas of the curriculum

 

·         The development of problem solving skills provides links to Maths, Science and Technical subjects.

 

·         Students interested in pursuing careers in theater, music, dance or art can benefit from basic mathematical knowledge. Musical rhythm often follows complex mathematical series, and math can help students learn the basic rhythms of dances used in ballet and theater performances. Art thrives on geometry, and students who understand basic geometric formulas can craft impressive art pieces.

 

·         Social studies classes, such as history, often require students to review charts and graphs that provide historical data or information on ethnic groups. In geography classes, students might need to understand how the elevation of an area affects its population or chart the extent to which different populations have different average life spans.

 

·         Science and math are intimately connected, particularly in fields such as chemistry, astronomy and physics. Students who can't master basic arithmetic skills will struggle to read scientific charts and graphs. More complex math, such as geometry, algebra and calculus, can help students solve chemistry problems, understand the movements of the planets and analyze scientific studies. Math is also important in practical sciences, such as engineering and computer science. Students may have to solve equations when writing programs.

 

Broad General Education: S1-S3

 

Young people will be following a second, third or fourth level course.  Each course gives all learners a variety of skills that will be useful in mathematics and beyond.  These are:

·         Complete core skills in numeracy - Work on non-calculator work with fractions, decimals, percentages and estimating and rounding

·         Critical Thinking and Interpreting Data - We believe that it is crucial for learners to understand their learning and to apply their knowledge in context. In particular with the work on graphs and statistics, we encourage all students to recognise the ‘why’ not just ‘how’ and justify why they have come to decisions.

·         Practical Skills  - We find that Maths lessons fit into so many other areas of the curriculum, and emphasis the learning within the department as a skill that could be applied in other settings.

Assessment as part of Curriculum for Excellence will take a variety of forms. During lessons, there will be a lot of formative assessment in line with of Assessment for Learning strategies which give instant feedback. This might include the use of ‘show me’ boards and lots of different questioning techniques. There will also be a selection of summative assessments and various evidence gathering projects. These might include projects similar to the Famous Mathematician project in the third level course and show an individual’s depth of understanding and application of the skills learnt.  We will also continue to use home learning tasks as a way of monitoring progress.

Senior Phase

 

SQA’s Mathematics qualifications motivate and challenge learners by enabling them to select and apply mathematical techniques in a variety of mathematical and real-life situations. These Courses equip learners with the skills needed to interpret and analyse information, simplify and solve problems, and make informed decisions.

 

National 4 Mathematics

 

The National 4 Mathematics Course enables learners to select and apply straightforward mathematical skills in a variety of mathematical and real-life situations. Learners interpret, communicate and manage information in mathematical form.

 

The course is assessed internally and young people will sit the following units:

·         Expressions and Formulae

·         Relationships

·         Numeracy

·         Added Value

 

All of these are calculator with the exception of the Added Value Unit which has a non calculator and a calculator element.

 

 

National 5 Mathematics

 

The National 5 Mathematics Course enables learners to select and apply mathematical techniques in a variety of mathematical and real-life situations. Learners interpret, communicate and manage information in mathematical form.

 

Young people must pass the following units in order to progress to the final exam:

 

·         Expressions and Formulae

·         Relationships

·         Applications

 

There will also be a Final exam: This will consist of 2 papers (non-calculator and calculator) that will assess knowledge and problem solving skills gained from the units above.

 

National 4 Lifeskills

 

The National 4 Lifeskills Mathematics Course enables learners to apply mathematical ideas and strategies to managing finance, statistics, geometry and measurement in straightforward real-life contexts.

 

The course is assessed internally and young people will sit the following units:

·         Managing Finance and Statistics

·         Geometry and Measure

·         Numeracy

·         Added Value Unit

All of these are calculator with the exception of the Added Value Unit which has a non calculator and a calculator element.

 

 

National 5 Lifeskills

 

The National 5 Lifeskills Mathematics Course enables learners to apply mathematical ideas and strategies to managing finance, statistics, geometry and measurement in real-life contexts.

 

Young people must pass the following units in order to progress to the final exam:

 

·         Managing Finance and Statistics

·         Geometry and Measure

·         Numeracy

 

There will also be a Final exam: This will consist of 2 papers (non calculator and calculator) that will assess knowledge and problem solving skills gained from the units above.

Higher Mathematics

The Higher Mathematics Course enables learners to select and apply mathematical techniques in a variety of mathematical situations. Learners interpret, communicate and manage information in mathematical form.

 

Method of assessment – At Higher level, there are three assessments covering, Expressions and Functions, Relationships and Calculus and Applications.  There are followed by an external final exam consisting of a non calculator and calculator paper.

 

The main reason for studying mathematics is that it is interesting and enjoyable. People like its challenge, its clarity, and the fact that you know when you are right. The solution of a problem has an excitement and a satisfaction.

You should also be aware of the wide importance of Mathematics, and the way in which it is advancing at a spectacular rate. Mathematics is about pattern and structure; it is about logical analysis, deduction, calculation within these patterns and structures. When patterns are found, often in widely different areas of science and technology, the mathematics of these patterns can be used to explain and control natural happenings and situations. Mathematics has a pervasive influence on our everyday lives, and contributes to the wealth of the country.

What can learning Mathematics achieve for young people?