AIM HIGH ACADEMY TRUST NEWBOTTLE PRIMARY ACADEMY Mathematics Policy September 2014 “Tell me and I might hear you, show me and I might see, involve me and I will understand.” RATIONALE Mathematics provides a way of making sense of the world. It can be used to analyse and communicate ideas and to tackle problems. It can be an enjoyable and satisfying activity in itself. Ethos • Every pupil has the right fulfill their full potential, to a broad, balanced and relevant Mathematics curriculum that reflects the use of Mathematics in every day life. • In teaching mathematics we aim to provide children with skills required for the routines of life and develop pupil’s ability to question and explore mathematical problem and puzzles. We believe that Mathematics trains young people to make sense of the world in an increasingly technological society. Aims: • We aim to ensure that all pupils: • become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils have conceptual understanding and are able to recall and apply their knowledge rapidly and accurately to problems • reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language • can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. Aims To enable each child to: • Become as numerate as possible. • Calculate mentally, in written form or accompanied by quick recall of basic number facts. • Become aware of the importance of mathematics in other curriculum areas and in real life situations. • Develop the use of mathematical language. • Know about shape, develop measuring skills and to be able to collect, record, display and analyse data. • Recognise and use mathematical patterns and relationships. • Use ICT and be aware of its uses in everyday situations. Essential Characteristics • An understanding of the important concepts and an ability to make connections within mathematics. • A broad range of skills in using and applying mathematics. • Fluent knowledge and recall of number facts and the number system. • The ability to show initiative in solving problems in a wide range of contexts, including the new and the unusual. • The ability to think independently and to persevere when faced with challenges, showing a confidence of success. • The ability to embrace the value of learning from mistakes and false starts. • The ability to reason, generalize and make sense of solutions. • Fluency in performing written and mental calculations and mathematical techniques. • A wide range of mathematical vocabulary. • A commitment to and passion for the subject. Essential Learning Objectives • • • • • • • • • To know and use numbers To add and subtract To multiply and divide To use fractions To understand the properties of shapes To describe position, direction and movement To use measures To use statistics To use algebra Essential Opportunities Key Stage 1 Key Stage 2 Count and calculate in a range of practical contexts Use and apply mathematics in everyday activities and across the curriculum Repeat key concepts in many different practical ways to secure retention Explore numbers and place value up to at least 100 Add and subtract using mental and formal written methods in practical contexts Explore the properties of shapes Use language to describe position, direction and movement Use and apply in practical contexts a range of measures, including time Handle data in practical contexts Count and calculate in increasingly complex contexts, including those that cannot be experienced first hand Rigorously apply mathematical knowledge across the curriculum, in particular science, technology and computing Deepen conceptual understanding of mathematics by frequent repetition and extension of key concepts in a range of engaging and purposeful contexts Explore number and place value so as to read and understand the value of all numbers Add and subtract using efficient mental and formal written methods Multiply and divide using efficient mental and formal written methods Use the properties of shapes and angles in increasingly complex and practical contexts, including in construction and engineering contexts Describe position, direction and movement in increasingly precise ways Use and apply measures to increasingly complex contexts Gather, organize and interpret data Understand the practical value of using algebra TEACHING METHODS The emphasis is on whole class interactive teaching with differentiation during the main part of the lesson. This type of whole class teaching is not the same as a teacher talking to the whole class and writing ideas on the board then asking children questions to check their understanding, but a type of teaching which encourages each child to interact with the teacher. Mathematics will increase child’s ownership of their learning and has been shown to dramatically improve children’s maths understanding. Learning objectives are taught to the children in teaching activities based on teachers’ own ideas or ideas from the teachers’ handbooks before the children consolidate this learning in workbook, textbook or investigative activities. How we teach • A variety of teaching and learning styles are used to teach Mathematics. Where possible lessons are presented in a practical hands-on way and are linked to real/everyday situations using outdoor areas and the local environment. • Lessons may be taught through whole class or group teaching and efforts to make links with ICT and other curriculum areas are made where possible (Indoor and outdoor). • Curriculum planning is carried out through long, medium and short term planning and are the responsibility of the individual teacher; with the aim to consistency and progression for all pupils. SEND/Equal Opportunities • The development of pupil’s mathematical skills would need to include varied teaching approaches and use of resources to support a child’s learning and progression. Planning for these groups of children, with consideration to the resources and teaching approaches, should ensure that the activities have been suitably matched to individual needs. • We believe that all children, irrespective of background, race, gender or ability should have equal opportunity and access to the curriculum. • Guided group teaching is particularly powerful across the whole curriculum. Pupils work with an adult who guides their learning through a planned sequence of tasks and discussions. There are opportunities for focused teaching and assessments. Each child will have a guided group session with a class teacher every week and a second with a TA where available. Assessment • Work is quality marked against the Learning and constructive feedback is completed with one third of the class per day. • Pupils act upon and respond to marking next day. (Challenge, corrections, improvements, next step to learning) • Pupils have opportunities to self and peer-assess their work. • Teacher Assessment used in lesson to inform next step to learning and overcoming barriers. • Assessment is collated three times a year for SLT (Level 4+, two levels, APS, Standardised Score, Percentage against Expectation and intervention) Five Key Principles 1. 2. 3. 4. 5. Pupils become numerate Practice core numeracy – basic skills Chronology of number Daily, structured approach to number Continuity - same steps to learning journey. Mental Strategies It is essential that rapid recall of key number facts is embedded prior to written calculations being taught. This is necessary as written calculations rely on mental strategies to process numbers efficiently and with confidence. The aim is to work on key rapid recall facts appropriate for your year group. Provision/Assessment All classes from reception to year 6 are taught one maths lesson every day and a 15 minute basic skills activity (Core Numeracy). The general format is as follows: 5 – 10 minutes mental and oral activities with the whole class. 30-40 minutes main whole class, group or paired work with independent and guided work (a simplified task and an extension task may be required where appropriate). 10-15 minutes plenary with the whole class. Format may change according to the lesson needs. 15 minutes Basic Skills session on ‘Core Numeracy’. Pupils will be assessed three times a year using teacher assessment (AfL, APP, standardised score) and formalised test. Parents/carers will have a consultation meeting three times a year and one report at then end of the summer Term. Progress meeting with staff will occur at the beginning of every term to discuss progress, intervention and provision. Language • The importance of spoken language in pupils’ development across the whole curriculum – cognitively, socially and linguistically is essential to the quality of learning within mathematics. The quality and variety of language that pupils hear and speak are key factors in developing their mathematical vocabulary and presenting a mathematical justification, argument or proof. • Pupils must be assisted in making their thinking clear to themselves as well as others and teachers should ensure that pupils build secure foundations by using discussion to probe and remedy their misconceptions. • Pupils should read and spell mathematical vocabulary correctly and confidently, using their growing word reading knowledge and their knowledge of spelling. LINKS BETWEEN MATHS AND OTHER SUBJECTS It is important to use and discuss the use of maths in other subject areas since it allows the child to see a further value in their mathematical skills and knowledge and can reinforce pupils’ learning in real contexts. Teachers identify and annotate on their medium term plans for all other subjects any opportunities to use Mathematics knowledge, skills and concepts. There are countless areas in which mathematics can be used, a few examples follow: Science-investigations, number, measures, shape and data Art-shape, pattern and measures Geography-location, number, co-ordinates, area and data History-number, numerals, time and data Technology-number, shape, measures and data P.E- area, angle, shape, data and measures I.T- data and spreadsheets Music-pattern and notation Computing This includes the use of interactive whiteboards, calculators, OHT, video, audiotape as well as computers (Laptops in classroom). Computer software is used in maths lessons where it is the most efficient and effective way to meet lesson objectives. Individual use of computer programs is usually inappropriate in the daily lesson, except where pupils have profound special needs. Use of clips of video and audiotape is made only where it is the most efficient and effective way to meet lesson objectives. Teachers pre-view video and may, for example, select a 5 or 10-minute section from an hour long video.
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