Ireland's Trusted Leader in
Singapore Mathematics
Teacher Training & Pupil Grinds
Elevating Learning.
Preparing Pupils for Tomorrow.
About Paddy Teacher
At Paddy Teacher, we deliver expert training in Singapore Mathematics to primary school teachers, parent associations and pupils across Ireland.
We provide two specific areas of expertise:
• Primary Teacher Training in Singapore Mathematics
• 5th Class and 6th Class pupil education through our Mathematics Grinds Academy.
Teachers
Grounded in international success and aligned with Ireland's new Primary Mathematics Curriculum, our training equips educators with the tools to deliver impactful, measurable and modern maths instruction.
Paddy Teacher is backed by over two decades of international teaching and training expertise. We specialise in professional development for primary educators, with a focus on implementing Singapore Mathematics — a proven approach to developing deep mathematical understanding.
Our mission is simple: to equip teachers and pupils with the skills, strategies and confidence to achieve measurable improvement in a fraction of the time.
Whether you're a newly qualified teacher (NQT) or a seasoned professional, we provide transformative training experiences grounded in evidence-based practice and recognised educational theory.
Supporting Teachers
Inspiring Pupils
Pupil Parents -
Mathematics Grinds Academy
We provide interactive, progressive online mathematics grinds to 5th and 6th Class pupils through our online Mathematics Grinds Academy. Pupils can access 4 live, interactive grinds classes each week Monday through Thursday. Classes are 30 minutes in total each. Two key topics are covered and reviewed each week. See the section below for information about weekly schedules, associated fees and registering your interest.
Why Singapore Mathematics?
The Singapore Approach to Mathematics is internationally acclaimed for its consistent effectiveness in helping pupils achieve deep conceptual understanding and long-term success in maths.
It emphasizes:
• The Concrete–Pictorial–Abstract (CPA) learning approach
• Higher-order problem solving
• Mathematical discourse and reasoning
Since 1995, Singapore has consistently topped global rankings in mathematics, such as:
• TIMSS: #1 in 7 of 8 test cycles (over 64+ countries)
(TIMSS - The Trends in International Mathematics and Science Study)
• PISA (OECD): Consistently ranked in the top 2 globally for
maths attainment
(PISA - Programme for International Student Assessment
OECD - Organisation for Economic Co-operation and Development)
Unlike traditional Western methods, Singapore Mathematics prioritises understanding over memorisation, empowering more students to succeed through differentiated strategies, procedural methods and structured progression.
A Proven Leader in
Maths Education
Director & Founder
Patrick Griffin
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20+ years Primary Education teaching (class teacher, managed school SET and Learning Support delivery) and school leadership experience
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17 years experience training NQTs in the US, Scotland (UK) and Ireland - Droichead Mentor
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Full Primary Teaching Registration:
- Teaching Council of Ireland
- General Teaching Council for Scotland
- Missouri Department of Education (USA)
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Master of Arts Degree , Primary Education
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Bachelor of Arts Degree, Human Resource Management
A Record of Results.
Mr Griffin’s dedication to high-impact teaching has been recognised internationally:
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Selected by multiple authorities to share best practice teaching methods in the areas of Mathematics and Science at district wide / education authority best practice training events.
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Honoured with the Walmart Teacher of the Year Award from a field of 595 teachers representing 7 primary schools and 2 secondary schools within a U.S. school district of over 17,000 pupils.
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Selected by the Scottish Education Authority to contribute to the Curriculum for Excellence in English Language and Communication Arts.
Patrick’s experience spans classroom teaching, special education, curriculum development and school leadership.
He is especially committed to preparing students for future success in STEM-based global industries - a passion reflected in his long-term advocacy for Singapore Mathematics Methodology.
A New Era for Irish
Primary Mathematics
Ireland's Evolving
Maths Curriculum
Ireland’s New Primary Mathematics Curriculum reflects a major shift in teaching and learning.
It celebrates:
• Creativity in maths thinking
• Multiple solution paths, not just memorised algorithms
• The idea that every child is mathematical
This curriculum is designed to prepare pupils for the demands of a STEM-driven world.
However, without proper training in modern approaches like Singapore Mathematics, many teachers are left without the confidence or differentiated strategies to fully implement curriculum goals. That’s where we come in.
Paddy Teacher helps bring this vision to life by equipping teachers with the tools to deliver immediate instructional impact while achieving key national objectives.
Shared Objectives
“Show me a pupil who loves a subject, and I’ll show you a teacher who inspired that passion.”
At Paddy Teacher, we believe:
• Great teaching transforms outcomes.
• No system can exceed the quality of its teachers.
• Every child deserves to succeed in maths.
• Every child is mathematical.
• Professional development should be practical, affordable,
and empowering.
We recognise that teachers are key drivers of education reform and the cornerstone of any educational system.
We offer our training at a fraction of the cost of comparable providers because we’re committed to making high-quality development accessible for all.
Mathematics Grinds Academy
For 5th & 6th Class Pupils
Paddy Teacher’s Mathematics Grinds Academy provides structured, interactive and progressive online maths grinds designed specifically for Irish primary pupils in 5th and 6th Class. Our goal is simple: to build deep understanding, confidence and measurable improvement in mathematics.
Live Online Classes: Monday -Thursday
Pupils have the option to attend four live, interactive classes each week (Monday–Thursday).
Each class is 30 minutes in duration — focused, engaging and highly effective.
Schedule each week:
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Monday & Tuesday: Topic 1 — taught and then reviewed to consolidate understanding
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Wednesday & Thursday: Topic 2 — taught and then reviewed to secure mastery
This structured “teach and review” model ensures pupils don’t just learn a method — they understand it, practise it and retain it.
What We Cover
Our curriculum supports and complements the Irish Primary Mathematics Curriculum and includes:
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Place Value
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Addition, Subtraction, Multiplication & Division
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Traditional algorithms
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Singapore Mathematics methodologies
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Alternative differentiated strategies
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Fractions, Decimals & Percentages
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Algebra
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Geometry & Measurement
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Information Handling & Probability
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Word Problem Solving Strategies & Heuristics
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End-of-Year Assessment Preparation & Review
We place strong emphasis on:
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Conceptual understanding (knowing why)
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Procedural understanding (knowing how)
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Procedural fluency (confidence and accuracy)
Now
enrolling
By combining traditional approaches with Singapore Mathematics strategies, pupils develop flexibility in thinking and stronger number sense — not just rote methods.
Why Parents Choose Our Academy
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Small, interactive live classes
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Clear explanations and step-by-step modelling
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Structured weekly progression
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Confidence-building approach
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Strong preparation for standardised and end-of-year assessments
Our approach ensures pupils are not overwhelmed. Instead, they build skills systematically and gain the confidence to tackle increasingly complex mathematical problems independently.
For full details on weekly schedules, fees and how to register your interest, please see the section below.
Spaces are limited to ensure quality interaction and personalised attention.
Teacher Training
Programmes
We provide high-quality, affordable professional development for primary teachers through:
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Online courses
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On-site or online whole-school training
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Interactive group online CPD sessions
All programmes are carefully designed to align with national educational priorities and to support teachers at every stage of their professional journey—from newly qualified teachers to experienced practitioners.
What Every Programme Includes
Each course is structured to ensure meaningful, practical impact and includes:
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Clearly defined learning outcomes
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Comprehensive content overview
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Expert-led, interactive instruction (online or on-site)
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Live modelling of effective teaching methodologies
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Engaging group and individual learning activities
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Classroom-ready templates and practical resources
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Certificate of completion
Our training strengthens teacher competency and confidence, leading directly to improved pupil learning outcomes.
Flexible Delivery Options
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Summer: Online and on-site courses available
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Throughout the school year: Evening and weekend professional development sessions
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Whole-school training: Available upon request and tailored to your school’s needs
Singapore Mathematics Progressive Course Pathway
Primary teachers are strongly encouraged to complete all three progressive courses to build a comprehensive understanding of Singapore Mathematics pedagogy:
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Introduction to Singapore Mathematics: Addition and Subtraction Methodologies
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Singapore Mathematics: Multiplication and Division Methodologies
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Singapore Mathematics: Solving Word Problems Using Bar Modelling and Heuristic Strategies
Completion of this full training pathway equips teachers to make an immediate and measurable impact across all primary levels—from Junior Infants to 6th Class—regardless of current or future class placement. It also serves to guarantee consistency and sustainability of teaching practice throughout your school.
Course Offerings
Strengthen Your Teaching.
Deepen Pupil Understanding.
Course Overview
This practical, classroom-focused course is designed to enhance your mathematics teaching by strengthening your pedagogical content knowledge, refining instructional strategies and deepening your approach to assessment.
You will learn how to apply the Concrete–Pictorial–Abstract (CPA) progression to build secure conceptual foundations before introducing formal written methods. The course explores structured variation, multiple solution paths and alternative Singapore computational strategies — including decomposition, compensation and left-to-right methods — to promote flexibility and procedural fluency.
You will also develop expertise in bar modelling to support word problem solving and mathematical reasoning, helping pupils visualise relationships and represent unknown quantities clearly.
Aligned with the new Irish Primary Mathematics Curriculum, this course supports teaching for understanding, reasoning and communication. It provides practical strategies you can implement immediately, while strengthening your ability to identify misconceptions, assess for understanding and support inclusive practice.
By the end of the course, you will have a clearer, more structured approach to teaching addition and subtraction — empowering you to improve pupil confidence, understanding and achievement in mathematics.
Individual teachers, newly qualified teachers and pupils involved in university teacher training programmes can register for online training options by following the link below.
Course 1088:
Introduction to
Singapore Mathematics - Addition and Subtraction Methodologies
Course 1 of 3 toward completion of Primary Teacher Singapore Mathematics Learning Pathway
Available
May 2026
Available Format(s):
- Online Teacher Summer Course; CPD Course
- Alternative Whole School Blended Onsite/Online Training. If seeking this option, please state this preference when registering your interest.
National Priorities:
Implementation of New Primary Mathematics Curriculum; Inclusive Classroom
Duration: 20 Hours
Fee: Early Bird Booking of €89 available May 1st - May 31st. (Reflects 40% discount. This course rises to €150 June 1st.)
Course Registration Open Date: May 1st, 2026
Learning Outcome(s):
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Mastery and fluency of CPA Approach and Singapore Methodologies for the teaching of the operations of Addition and Subtraction.
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Establish additional teacher pedagogical content knowledge to support diverse learners, deepen pupil understanding, increase accuracy and achieve national curricular objectives.
Content topics include:
• Introduction to Singapore Mathematics Methodology
• The Concrete–Pictorial–Abstract (CPA) approach
• Terminology, place value, decomposition and number sense
• Properties of Addition and Subtraction
• Singapore Addition and Subtraction strategies (with and without carrying/borrowing/regrouping to 3 place values)
• Strategies for Conceptual Understanding and Procedural Fluency.
• Concept and Application of Compensation
• Bar Modelling and Heuristics for Word Problem solution
• Expert-led interactive instruction and modelling
• Suggested games and activities for classroom use
• Printable templates/resources for classroom use
Schools seeking this training as an onsite or online whole school Teacher CPD course, can discuss scheduling and venue location with our offices to facilitate the most effective and convenient delivery. Inquiries can be emailed to info@paddyteacher.com .
Transform your Mathematics
Teaching
Course Overview
This practical, classroom-focused online course is designed to strengthen your teaching of multiplication and division through the proven methodologies of Singapore Mathematics. You will enhance your pedagogical content knowledge, refine instructional clarity and develop structured approaches that build both conceptual understanding and procedural fluency.
Central to the course is the Concrete–Pictorial–Abstract (CPA) approach, enabling you to move pupils confidently from hands-on materials to visual representations and finally to abstract notation. You will develop precise use of mathematical language and deepen your understanding of the properties of multiplication (zero, identity, commutative, associative and distributive) as well as key divisibility principles to strengthen reasoning and number sense.
The course provides step-by-step guidance in teaching Singapore multiplication strategies using one-, two- and three-digit factors, along with division strategies for one-, two- and three-digit dividends and one- and two-digit divisors, including calculations with and without remainders. You will explore compensation strategies, structured partitioning and efficient left-to-right approaches that promote flexible thinking rather than reliance on rote procedures.
You will also learn effective methods for teaching and reinforcing multiplication and division facts to ensure long-term retention and fluency. Bar modelling and structured heuristics will be introduced to support multi-step word problems, helping pupils visualise relationships and reason mathematically with confidence.
Through expert-led interactive instruction and live modelling, you will see these methodologies demonstrated clearly and applied across class levels. The course also provides practical classroom games, ready-to-use printable templates and teaching resources to support immediate implementation.
Aligned with the Irish Primary Mathematics Curriculum, this course equips you with practical, evidence-informed strategies to improve pupil confidence, understanding and achievement in multiplication and division.
Course:
Singapore Mathematics - Multiplication and Division Methodologies
Course 2 of 3 toward completion of Primary Teacher Singapore Mathematics Learning Pathway
Available
September 2026
Available Format(s):
- Online Teacher Summer Course; CPD Course
- Alternative Whole School Blended Onsite/Online Training. If seeking this option, please state this preference when registering your interest.
National Priorities:
Implementation of New Primary Mathematics Curriculum; Inclusive Classroom
Duration: 20 Hours
Fee: €150
Learning Outcome(s):
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Mastery and fluency of CPA Approach and Singapore Methodologies for the teaching of the operations of Multiplication and Division.
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Establish additional teacher pedagogical content knowledge to support diverse learners, deepen pupil understanding, increase accuracy and achieve national curricular objectives.
Content topics include:
• The CPA Approach (Concrete, Pictorial, Abstract)
• Terminology: Language of Multiplicaition and Division
• Properties of Multiplication (Zero, Identity, Commutative,
Associative, Distributive) and Division (Divisibility Rules)
• Singapore Multiplication strategies
(with 1-digit,2-digit and 3-digit factors)
• Singapore Division strategies
(with 1-digit,2-digit and 3-digit dividends; 1 and 2-digit
divisors; quotients with no remainders and remainders)
• Effective strategies to teach and reinforce basic Multiplication and Division fact knowledge.
• Strategies for Conceptual Understanding and Procedural Fluency.
• Concept and Application of Compensation
• Bar Modelling and Heuristics for Word Problem solution
• Expert-led interactive instruction and modelling
• Suggested games and activities for classroom use
• Printable templates/resources for classroom use
Prerequisite Course:
• Introduction to Singapore Mathematics - Addition and Subtraction Methodologies
Schools seeking this training as an onsite or online whole school Teacher CPD course, can discuss scheduling and venue location with our offices to facilitate the most effective and convenient delivery. Inquiries can be emailed to info@paddyteacher.com .
Teach with Clarity, Structure and Confidence.
Course Overview
This course is the final stage of the Primary Teacher Singapore Mathematics Learning Pathway, completing the three-part progression from addition and subtraction, through multiplication and division, to advanced problem solving. It brings together the core principles of Singapore Mathematics and applies them directly to solving word problems with clarity, structure and confidence.
Building on the Concrete–Pictorial–Abstract (CPA) framework, this course focuses on equipping teachers with powerful visual reasoning tools and structured heuristics that enable pupils to approach complex problems systematically. You will explore the history and global impact of Singapore Mathematics and deepen your understanding of why visual representation and structured thinking are central to its success.
A major focus of the course is bar modelling, including the Part–Whole model and the Comparison model. You will learn how to teach pupils to translate written problems into clear visual representations, making relationships and unknown quantities explicit. Through step-by-step modelling, you will develop strategies to guide pupils from initial reading to solution, strengthening reasoning and reducing cognitive overload.
The course introduces ten practical problem-solving heuristics and shows how to build strategic thinking through maths talk, questioning and structured sentence stems. You will learn how to explicitly model thinking processes, scaffold pupil responses and promote independence in multi-step problem solving.
Expert-led interactive instruction ensures that methodologies are demonstrated clearly and applied across class levels. You will also receive practical classroom games, printable templates and ready-to-use resources to support immediate implementation.
Aligned with the Irish Primary Mathematics Curriculum, this course strengthens your ability to teach reasoning, representation and communication in mathematics. By completing this final module, you will have a coherent, research-informed framework for developing confident, capable problem solvers in your classroom.
Course:
Singapore Mathematics - Solving Word Problems Using
Bar Modelling and
Heuristic Strategies
Course 3 of 3. Completion of Primary Teacher Singapore Mathematics Learning Pathway
Available
September 2026
Available Format(s):
- Online Teacher Summer Course; CPD Course
- Alternative Whole School Blended Onsite/Online Training. If seeking this option, please state this preference when registering your interest.
National Priorities:
Implementation of New Primary Mathematics Curriculum; Inclusive Classroom
Duration: 20 Hours
Fee: €150
Learning Outcome(s):
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Mastery and fluency of Singapore methodology for the teaching of mathematical word problem solution. Use of strategic thinking and bar models to visualise and successfully solve problems across all four major operations.
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Establish additional teacher pedagogical content knowledge to support diverse learners, deepen pupil understanding, increase accuracy and achieve national curricular objectives.
Content topics include:
• History of Singapore Mathematics and global impact
• Use of Concrete-Pictorial-Abstract (CPA) framework
• 10 Heuristics, practical problem solving strategies
• Bar Modelling: The Part-Whole Model
• Bar Modelling: The Comparison Model
• Strategy building, Maths Talk, and visual representation
• Teacher tips and pupils sentence stems for each heuristic
• Suggested games and activities for classroom use
• Printable templates/resources for classroom use
• Expert-led interactive instruction and modelling
Prerequisite Courses:
• Introduction to Singapore Mathematics - Addition and Subtraction Methodologies
• Singapore Mathematics - Multiplication and Division Methodologies
Schools seeking this training as an onsite or online whole school Teacher CPD course, can discuss scheduling and venue location with our offices to facilitate the most effective and convenient delivery. Inquiries can be emailed to info@paddyteacher.com .
Parent Association
Workshops
Our parent-focused workshops help demystify modern maths education and enable caregivers to support their children more confidently.
Sessions include:
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Introduction to Singapore Maths for the Junior School
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Home-friendly strategies to support learning
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Understanding new curriculum expectations
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Open Q & A and take-home guides
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Introduction to Singapore Maths for the Senior School
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Home-friendly strategies to support learning
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Understanding new curriculum expectations
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Open Q & A and take-home guides
Schools seeking this service can only do so if their teaching staff have completed Singapore Mathematics Courses 1, 2 and 3. Related fees are determined by pupil population. Contact us for further information.
Testimonials
“In just one day, our staff gained strategies they could use immediately
to improve teaching and learning.”
Principal, County Galway
