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Martin","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/vnd.openxmlformats-officedocument.presentationml.presentation","2026-10-22","2026-10-20",true,{"@type":52,"interactionType":53,"userInteractionCount":22},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the aim of this Session 3 training on GCSE maths skills?","Question",{"text":62,"@type":63},"It focuses on considering the cornerstones of maths, building a firm GCSE foundation, exploring assumed knowledge facts, and strengthening the basics to improve reasoning and problem solving.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Which assumed mathematical knowledge areas are highlighted?",{"text":67,"@type":63},"Examples include telling the time, days in a week and a year, estimating height and weight, vocabulary such as median, and knowing the four types of triangle.",{"name":69,"@type":60,"acceptedAnswer":70},"How do Inchworm and Grasshopper learning styles differ in problem solving?",{"text":71,"@type":63},"Inchworms follow algorithms with an exact-number, step-by-step approach and may show less conceptual understanding, while Grasshoppers think flexibly, use multiple strategies, reason about “why,” and build strong conceptual understanding.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},619233,1792684904,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & 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and its licensors. All rights reserved.\n1\n7th October 2023\nMathsConf 33\nWelcome\n2\n@tessmaths\nMaths Teacher Trainer\nMaths Author – BBC Bitesize, Cambridge and Oxford University Press, Collins\nAQA Expert Panel Member\n5Rs Developer and Project Lead with the EEF Research Project\nShine Award Winner 2021 for the 5Rs Curriculum\n3\nBiography:\nCopyright © AQA and its licensors. All rights reserved.\n4\nObjectives\nCopyright © 2023 AQA and its licensors. All rights reserved.\nTo consider the cornerstones of maths\nTo build a firm maths base for GCSE\nTo explore a number of assumed knowledge facts\nTo identify the nine mathematical basics with a range of alternative methods\nTo build skills which will impact and improve reasoning and problem solving\nTo review AQA resources and support\n5\nFundamental and Basic Maths Skills\nCopyright © AQA and its licensors. All rights reserved.\nJemma Sherwood ‘Fluency in the four operations is the cornerstone of developing mathematical understanding’\nMaths is like running, walking 10,000 steps a day, going to the dentist, eating 5 fruit and veg a day – it’s really good for you. It also requires practice, practice, practice…just like knitting, painting, cooking or football.\n6\nThe Cornerstones of Maths\nCopyright © AQA and its licensors. All rights reserved.\nWhat does it mean to be fluent in anything? In maths?\nHow To Enhance Your Mathematics Subject Knowledge: Number and Algebra for Secondary Teachers by Jemma Sherwood, OUP, 2018. Reproduced with permission of the Licensor through PLSclear.\nBy the time a learner gets to Year 11, or is in a re-sit year, they have seen all of the maths before – certainly enough to gain Grade 4 if not Grade 5…\nFind out where the gaps are…quickly.\nStrengthen what they already know to make it even stronger.\nSort out what they sort of know – misconceptions and mistakes.\nThe hierarchical nature of maths tell us to strengthen the basics.\nPractice until you cannot get it wrong, not just until you get it right.\nNew AQA Fundamental Skill questions sets coming\nAQA Basic Skill question sets\n7\nTo build a firm base for GCSE\nCopyright © AQA and its licensors. All rights reserved.\nThings like:\nHow many mms in a cm…\nHow many days in January…\nWhat is the first prime number….\nHow many hours in a day…\nHow many degrees in a full turn…\nWhat’s a five sided shape called…?\n8\nAssumed Mathematical Knowledge\nCopyright © AQA and its licensors. All rights reserved.\nWhat maths knowledge do we think that students should have, but often don’t!\nTelling the time…\nDays in a week… in a year\nEstimating height, weight…\nVocabulary…median\nThe four types of triangle are…\nPre-requisite skills – in lesson planning:\n‘What comes before? What comes after?\nEntry tickets\nAO1 Students should be able to:\n• accurately recall facts, terminology and definitions\n• use and interpret notation correctly\n• accurately carry out routine procedures or set tasks requiring multi-step solutions.\nNew AQA Fundamental Skill Questions coming…\nLook out for the AQA Fundamental Skills and Basic Skills Blog\nAQA Topic Audits will help in this process\n9\nDealing with Assumed Knowledge difficulties\nCopyright © AQA and its licensors. All rights reserved.\nAddition\nSubtraction\nMultiplication\nDivision\nFractions\n10\nNine Mathematical Basics\nCopyright © AQA and its licensors. All rights reserved.\nUse the AQA Basic Skills questions sets\nAQA All About Maths - Basic skills questions\nUse the Teacher Guidance and Rationale\nDecimals\nPercentages\nScale\nRatio\nHow do you calculate it? How do you teach it?\n413 – 267 =\n34 x 23 =\n-5 x -2 = (sequences approach)\n1/5÷2/3=\t\t\t\t1/4+2/3=\nMarking protocol ‘any valid mathematical method gains the marks’\nInfluenced by publications\tJo Morgan, A Compendium of Mathematical Methods & Ed Southall, Yes, but why?\n11\nAlternative Methods\nCopyright © AQA and its licensors. All rights reserved.\nIt isn’t for you to like or dislike a method, it might just be","cbCaiojmJ53WEPpK","https://ap.wps.com/l/cbCaiojmJ53WEPpK","pptx",9679275,28,"English","# Welcome\n## Objectives\n# Fundamental and Basic Maths Skills\n## The Cornerstones of Maths\n## To build a firm base for GCSE\n# Assumed Mathematical Knowledge\n## Dealing with Assumed Knowledge difficulties\n# Nine Mathematical Basics\n## Alternative Methods\n## CPA Approaches\n### Inchworms\n### Grasshoppers\n# Inchworm or Grasshopper?\n# Building the Skills leads to Problem Solving progression","[{\"question\":\"What is the aim of this Session 3 training on GCSE maths skills?\",\"answer\":\"It focuses on considering the cornerstones of maths, building a firm GCSE foundation, exploring assumed knowledge facts, and strengthening the basics to improve reasoning and problem solving.\"},{\"question\":\"Which assumed mathematical knowledge areas are highlighted?\",\"answer\":\"Examples include telling the time, days in a week and a year, estimating height and weight, vocabulary such as median, and knowing the four types of triangle.\"},{\"question\":\"How do Inchworm and Grasshopper learning styles differ in problem solving?\",\"answer\":\"Inchworms follow algorithms with an exact-number, step-by-step approach and may show less conceptual understanding, while Grasshoppers think flexibly, use multiple strategies, reason about “why,” and build strong conceptual understanding.\"}]","GCSE Maths - Fundamental and Basic skills - Leeds 2023 - Session 3 | PPTX",1792462712,71]