This document discusses teaching math to dyslexic children and adults. It notes that dyslexic students often struggle with math due to weaknesses in language, memory, processing speed, spatial awareness, and other areas. The document recommends using concrete materials, counting activities, number bonds, place value, and estimation to make math more accessible. It also suggests assessing students' math skills and using apps to support learning. The overall message is that dyslexic learners need flexible number skills and to develop number sense through hands-on activities.
This short course is part of a module participants for Specialist Certificate in Mathematics Teaching (Primary) is offering. This module focuses on whole numbers and using everyday things to teach.
This short course is part of a module participants for Specialist Certificate in Mathematics Teaching (Primary) is offering. This module focuses on whole numbers and using everyday things to teach.
Worcester State University Summer Institute Lecture 1Jimmy Keng
Day 1 Plenary Lecture on a selection of learning theories that underpin Singapore Math. The focus is on Bruner's theories with mentions of Dienes and Skemp.
این پاورپوینت در کارگاه توانبخشی شناختی در اختلالات یادگیری توسط دکتر علیزاده ارائه شده است.
برای مشاهده مطالب بیشتر در این زمینه به وب سایت فروردین مراجعه نمایید
www.farvardin-group.com
Objectives:
1. Examine key considerations regarding the teaching and learning of mathematics.
2. Understand how mathematics skills are organized for teaching and learning.
3. Access mathematics resources.
Worcester State University Summer Institute Lecture 1Jimmy Keng
Day 1 Plenary Lecture on a selection of learning theories that underpin Singapore Math. The focus is on Bruner's theories with mentions of Dienes and Skemp.
این پاورپوینت در کارگاه توانبخشی شناختی در اختلالات یادگیری توسط دکتر علیزاده ارائه شده است.
برای مشاهده مطالب بیشتر در این زمینه به وب سایت فروردین مراجعه نمایید
www.farvardin-group.com
Objectives:
1. Examine key considerations regarding the teaching and learning of mathematics.
2. Understand how mathematics skills are organized for teaching and learning.
3. Access mathematics resources.
PowerPoint Slides for the Primary (grades 1 - 3) break-out sessions for the Kootenay-Boundary Regional Consortium Summer Institute in Numeracy, held in Cranbrook on August 27th, 2009.
Presentation Math Workshop#May 25th New Help our teachers understa...guest80c0981
This is presented by a Math teacher,in Army Burn Hall College For Girls ,Abbottabad.
The target group was the teachers of school section. There were certain activities also performed an demonstrated in order to introduce new teaching methodologies and to prepare our teachers to meet the need of the day.
Umber
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
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The simplified electron and muon model, Oscillating Spacetime: The Foundation...RitikBhardwaj56
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Delivering Micro-Credentials in Technical and Vocational Education and TrainingAG2 Design
Explore how micro-credentials are transforming Technical and Vocational Education and Training (TVET) with this comprehensive slide deck. Discover what micro-credentials are, their importance in TVET, the advantages they offer, and the insights from industry experts. Additionally, learn about the top software applications available for creating and managing micro-credentials. This presentation also includes valuable resources and a discussion on the future of these specialised certifications.
For more detailed information on delivering micro-credentials in TVET, visit this https://tvettrainer.com/delivering-micro-credentials-in-tvet/
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
25. Assessment
• Emerson & Babtie, 2010,The Dyscalculia Assessment,
London: Continuum
• Chinn, 2012, More Trouble with Maths, Abingdon:
Routledge
• DIMP
• WRAT 4, WIAT III
• Hodder Tests & GL Assessment have variety of maths
tests
26. Apps
• Calculators e.g. • Count on it (Slavonic
Soulver, digits, talkin abacus)
g calculators • Math bingo
• Numberbonds • Wings
• I say you say • King of math
(number bonds) • Telling time
• Hungry fish • Fishy numbers
• Zoom
Editor's Notes
Does maths matter?Yes! Only 22% adults have numeracy skills equivalent to Grade A*-C GCSE60% of new jobs in 21st century will require maths skills possessed by only 20% of current workforcePoor numeracy skills are associated with:Unemployment/ poor job prospectsLow payDepression/illnessCrime – 65% adult prisoners have maths skills of 11 year old (or lower)
What makes maths difficult?Maths is abstractUses abstract and precise languageUses complicated system of written symbolsNeed secure foundations to progressOften taught as set of procedures
Typical dyslexic difficulties that may affect maths:LanguageMany everyday words have specific meanings in maths e.g. square, meanTeen numbersWord problemsAuditory discrimination: -teen/-ty; ten/tenth; hundred/hundredth; thousand/thousandthTricky words e.g. isosceles, rhombus, perpendicularMemory weaknesses – LTM, STM, WM:Difficulty in learning facts in the form of pure verbal associations e.g. multiplication tablesPoor working memoryMost aspects of working with numbers are step-by-step processes which involve holding several pieces of information in working memory at the same timeLose track of what they are doing, forget initial task or instructionsMay not be able to hold sum in visual or auditory memory while searching for number factFor information to enter long term memory the input (question) and output (answer) need to be close together for information to enter LTM – need efficientworking memory processes Poor fact and procedure retrieval from LTM contribute to WM problems, as LTM weaknesses drain processing resources of central executiveOver-reliant on counting – places very big demands on WMProcessing speedSlow to process incoming informationTake longer to access stored informationEmphasis on speedy responses undermines child’s ability to thinkComplete less work than peers, so get less practiceLeft-right orientation/ directional confusionMuddle written digitsDecoding and encoding two-digit numbersHorizontal methods work from L R, column based methods work from R L, but standard division algorithm is worked L R36 ÷ 4 or 364 or 4)36Sequencing difficulties:Counting and number systemMay learn to count laterFail to understand structure of number systemManaging counting sequences, especially backwardsSequences of instructions, many calculations involve a sequence of stepsEntering data into calculator in correct sequenceOrder:Teen numbers – say unit first, but write it second – leads to errors in ‘carrying’ numbersLearner hears ‘ten past seven’ and writes 10:7Reads ‘take 8 away from 18’ and writes 8 – 18Visual & spatial awarenessLiteracy skills Word problemsTypical dyslexic difficulties that may affect maths:LanguageMany everyday words have specific meanings in maths e.g. square, meanTeen numbersWord problemsAuditory discrimination: -teen/-ty; ten/tenth; hundred/hundredth; thousand/thousandthTricky words e.g. isosceles, rhombus, perpendicularMemory weaknesses – LTM, STM, WM:Difficulty in learning facts in the form of pure verbal associations e.g. multiplication tablesPoor working memoryMost aspects of working with numbers are step-by-step processes which involve holding several pieces of information in working memory at the same timeLose track of what they are doing, forget initial task or instructionsMay not be able to hold sum in visual or auditory memory while searching for number factFor information to enter long term memory the input (question) and output (answer) need to be close together for information to enter LTM – need efficientworking memory processes Poor fact and procedure retrieval from LTM contribute to WM problems, as LTM weaknesses drain processing resources of central executiveOver-reliant on counting – places very big demands on WMProcessing speedSlow to process incoming informationTake longer to access stored informationEmphasis on speedy responses undermines child’s ability to thinkComplete less work than peers, so get less practiceLeft-right orientation/ directional confusionMuddle written digitsDecoding and encoding two-digit numbersHorizontal methods work from L R, column based methods work from R L, but standard division algorithm is worked L R36 ÷ 4 or 36/4 or 4)36Sequencing difficulties:Counting and number systemMay learn to count laterFail to understand structure of number systemManaging counting sequences, especially backwardsSequences of instructions, many calculations involve a sequence of stepsEntering data into calculator in correct sequenceOrder:Teen numbers – say unit first, but write it second – leads to errors in ‘carrying’ numbersLearner hears ‘ten past seven’ and writes 10:7Reads ‘take 8 away from 18’ and writes 8 – 18Visual & spatial awarenessLiteracy skills Word problems
Co-occurring differencesDCD/ DyspraxiaFine motor skillsMotor planning – setting work outVisual perceptionOrganisational skillsBody awareness/ finger agnosia – lack of awareness of how many fingers they have or where they are in spaceSensory integration problems – difficulty processing feedback from different sensesOften ‘rigid’ maths thinkersADD/ADHDHyperactivity and distractibilityInability to focus on most relevant information Irrelevant information may crowd WM capacity Slower and less accurate in calculation – WM overload Difficulty representing a task mentally, poor cognitive flexibility and deductionAsperger’s SyndromeMay excel at maths – maths has standard procedures and rules and can be predictable and ‘safe’. May do mathsproblems in their head, but can’t tell or show how they got answer.May have difficulty selecting the important information and appropriate strategies May have difficulty monitoring the steps in their thinking; Can be disorganized or not know where to begin May have difficulty in relating to a ‘deep’ understanding of mathematical concepts, prefer rote learning and repetitionSpeech, language and communication difficultiesSpeech difficulties confusion (-teen/-ty, multisyllabic words)Expressive language – being able to describe what they’re doingUnderstanding language – abstract vocabulary, instructions, variety of terms (e.g. for +)Memory difficulties
Maths anxietyPanic stops the mind workingAnxiety causes intrusive thoughts and worry to drain WM resourcesMay not be confident enough to have a go – more likely not to attempt questions
Contrasts in maths learningGood at maths:Use derived facts most of the time (Derived facts – decompose and recompose numbers to make them more familiar)Seldom use countingWork in flexible ways with numbers – decomposing and recomposing themCompress and automatize conceptsUnderstand concepts so reduce memory loadFinds maths difficultCount most of the timeDon’t use derived factsUse difficult techniques e.g. counting backwards for subtractionDon’t think about bigger conceptsTry to rely on poorly memorized proceduresJo Boaler quotes William Thurnston (p. 141) ‘ Mathematics is amazing compressible: you may struggle a long time, step by step, to work through the same process or idea from several approaches. But once you really understand it and have the mental perspective to see it as a whole, there is often a tremendous mental compression. You can file it away, recall it quickly and completely when you need it, and use it as just one step in some other mental process. The insight that goes with this compression is one of the real joys of mathematics.’
Maths learning styleGrasshopper v inchworm
Concrete tools need to:Be used to foster thinking, not just as mechanical supportsBe used by learners to build models of problemsBe appropriate to learner’s level of understanding and cognitive styleBe linked to abstract work by recording alongside concrete workBe used purposefully
Slavonic abacus & number string - http://www.autopresseducation.co.uk
Counting:One-to-one correspondence – helps if move objects in ordered way. Objects can be counted in any order.Understand relationship between numbers in sequence (e.g. staircase activities)Cardinal/ordinalVocabulary: -teen/-tyForwards and backwardsStep-countingKnowing where to start, different starting points
Avoid the ‘counting trap’Counting seen as solution to every problemLiable to errorBurden on memory system – may have to start from beginning, not sure which number to start withDifficulty in synchronising count with objects persistent miscounting don’t see patterns and connections within and between numbers poor sense of numberPrevents development of more efficient techniques
SubitisingUse number patterns visual images of numbers
EstimatingNeed to recognise when an answer is reasonableWe use estimation all the time in daily life – most useful mathematical activity in workplaceEssential part of mathematical problem-solving
Place valueUse Base 10 material on HTU grid, Cuisenaire rods, moneyZero Bridging through 10 – need to know number bonds of ten and of numbers up to tenPrinciple of exchange
Number bonds and componentsNumber bonds of 10Doubles and near doubles (key facts)Components of numbers to ten Use number patterns, Cuisenaire rods, number bond ‘pack’, games
AdditionMove from counting all counting on known facts derived facts6 + 2 is the same as 2 + 6Use number bonds/componentsRecognise that + and - are opposites
SubtractionStages: Count out all numbers, count out number to be taken away, count remainderCount backCount upUse known facts and patterns – use componentsNeed to be able to work flexibly to deal with missing number questions: 5 - = 2
Learn key tables : 2x, 10x, 5x then 3x, 4x, 9x
TimeNeed to be able to deal with fractions: ¼,½, ¾Need to be able to count in fives up to 60Need to be able to understand clockwise movement, times ‘past’ and ‘to’12 on clock face, but 60 minutes and seconds12 on clock face, but 24 hours in day.24 hour clockDigital
Adult maths learners May be very anxious and lacking in confidenceWill probably have developed some strategies of their own for day-to-day mathsWill probably remember/half remember some procedures from schoolMay need to improve their maths for a specific purpose – tailor their programme to meet their needs
ActivitiesGames, visual-spatial puzzles,– e.g. Geoboard, tangrams, Think Fun games (like Rush Hour and Top This), Sudoku, board games, Shut the Box, dice games, card games, dominoes, word puzzles e.g. Boaler (p174) “ Given a 5 litre jar and a 3 litre jar and an unlimited supply of water, how do you measure out 4 litres exactly?”
AssessmentEmerson & Babtie, 2010,The Dyscalculia Assessment, London: ContinuumChinn, 2012, More Trouble with Maths, Abingdon: RoutledgeDIMPWRAT 4, WIAT IIIHodder Tests & GL Assessment have variety of maths tests
AppsCalculators e.g. Soulver, digits, talking calculatorsNumberbondsI say you say (number bonds)Hungry fishZoomCount on it (Slavonic abacus)Math bingoWingsKing of mathTelling timeFishy numbers