Maths

CPD Supports - Elective Workshops

Elective Workshop Resources

Elective CPD Workshops are offered to teachers as further supports.

Click on each title bar to view resources.

Webinar Series

Exploring Mathigon’s Polypad - A Digital Learning Technology for Visual Representations and Manipulatives in Mathematics

The purpsoe of this webinar is to explore the use of digital manipulatives and visual representations to build conceptual understanding in the Junior Cycle Mathematics Classroom.

Exploring Mathigon's Ploypad

File type: YouTube

Click image to play

Resource Sheet 1

File type: PDF

Click to view or download

Resource Sheet 2

File type: PDF

Click to view or download

Connecting with Mathematics in Everyday Life

This webinar is designed for students. It explores connections to mathematics in everyday life.

We were delighted to have Brendan Sidney (BER Assessor), Sinéad Curley (Senior Program Manager) and Brian Rushe (Dairy Farmer and IFA Deputy President) as our panellists.

Connecting with Mathematics in Everyday Life

File type: YouTube

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Student Support Sheet

File type: PDF

Click to view or download

Brendan Sidney BER Assessor

File type: YouTube

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Sinéad Curley Senior Program Manager

File type: YouTube

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Brian Rushe Dairy Farmer & IFA Deputy President

File type: YouTube

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Supporting Students for Classroom-Based Assessments

This webinar is designed to support teachers who are new to the process of Classroom-Based Assessments. It includes live input from two teachers.

The webinar focuses on the following areas:

1. The Assessment Guidelines

2. Classroom-Based Assessments

3. Subject Learning and Assessment Review (SLAR) are

Supporting Students for Classroom-Based Assessments

File type: YouTube

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Links Document

File type: PDF

Click to view or download

Desmos for Junior Cycle Mathematics: Using Desmos to Deepen Student Learning

The purpose of this webinar is to offer an introduction to Desmos as a tool for teaching and learning mathematics.

Desmos is dynamic software for all levels of education that brings together a free suite of maths software tools, including a Graphing Calculator and Geometry Tool. Further support materials for Desmos are available on the Resources section of our website.

Using Desmos to Deepen Student Learning

File type: YouTube

Click image to play

Question Posing for Classroom-Based Assessment 1: Mathematical Investigation

In this webinar we are joined by a panel of teachers who share their experiences of, and advice for, supporting students with classroom-based assessment. The webinar begins with a taster of some of the strategies for question posing and problem formulation from the interactive CPD found here.

Some of the panel discussion includes: planning as a department for question posing, supporting students with posing questions and, developing and refining questions for investigation with students.

Question Posing for CBA 1

File type: YouTube

Click image to play

In this section you will find excerpts from the webinar 'Question Posing for Classroom-Based Assessment 1: Mathematical Investigation'.

In this short video you will hear teachers discussing some of their ideas for departmental planning.

They speak about how they plan to integrate question posing into their subject department plans incrementally for Junior Cycle mathematics.

Question Posing and Departmental Planning

File type: YouTube

Click image to play

In this short video teachers discuss a variety of different ways that they support their students when refining their mathematical question(s).

Refining Questions with Students

File type: YouTube

Click image to play

In this short video you will hear teachers discuss how they support their students to develop posed questions.

They speak about the importance of supporting students to make questions viable for mathematical investigation.

Supporting Students with Developing Posed Questions

File type: YouTube

Click image to play

In this short video teachers will share some advice they have for other teachers preparing for classroom-based assessment with their students.

Teacher to Teacher Advice

File type: YouTube

Click image to play

In this short video you will hear teachers discussing their experiences of classroom-based assessment in mathematics.

Experiences of Classroom-Based Assessment

File type: YouTube

Click image to play

Delving into Desmos with Dr. Dan Meyer

Based in California, Dr. Dan Meyer is the Chief Academic Officer with Desmos. Desmos is a free suite of maths software for students, available at desmos.com.

During this workshop, Dan discusses the interaction between pedagogy and digital learning technologies in mathematics.

Delving into Desmos

File type: YouTube

Click image to play

CODAP as a Tool for Teaching and Learning Mathematics

The purpose of this webinar is to offer an introduction to CODAP as a tool for teaching and learning mathematics. CODAP is free open-source education software for data analysis.

The webinar focused on two areas of support:
  1. Exploring the use of datasets on CODAP, both sourced and collected
2. Exploring some of the functions available on CODAP

Further support materials for CODAP are available on our website in the Resources section.

CODAP as a Tool for Teaching and Learning

File type: YouTube

Click image to play

Preparing for Classroom-Based Assessment 2: Statistical Investigation & Subject Learning and Assessment Review Meeting (SLAR)

The purpose of this webinar is to offer some support for mathematics teachers preparing for Classroom-Based Assessment 2: Statistical Investigation and the Subject Learning and Assessment Review Meeting.

The webinar is delivered in three parts:

1. Teaching, Learning and Language of Statistics
2. Classroom-Based Assessment 2 and Formative Feedback
3. Procedures for Teachers before, during and after CBA2

Support documents that were mentioned in the webinar are available on our website under Key Documents, Assessment and Resources.

Preparing for Classroom-Based Assessment 2

File type: YouTube

Click image to play

Task Selection and Problem-Solving in Mathematics

In this webinar Dr Paddy Johnson (University of Limerick) discusses selection criteria for mathematical tasks and activities which develop students' ability to problem-solve.

Task Selection & Problem-Solving Recording

File type: YouTube

Click image to play

In this section you will find excerpts from the webinar 'Task Selection and Problem-Solving in Mathematics'.

Each of the video excerpts below give an insight into areas for consideration when designing and/or selecting tasks for students.

Defining a Task

File type: YouTube

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Procedural Fluency as a Goal

File type: YouTube

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Conceptual Understanding as a Goal

File type: YouTube

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Strategic Competence as a Goal

File type: YouTube

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Critical Competence as a Goal

File type: YouTube

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Some Guiding Principles

File type: YouTube

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Mathematics and Being Creative

The focus of this webinar is an interactive discussion around creativity in mathematics, mathematics classrooms and in teaching.

There were three discussion points for the webinar:

1 .What could creativity look like in the classroom?
2. Sharing and discussing perspectives on creativity.
3. Fostering creativity in the classroom.

We are grateful to all of the teachers that contributed to the discussion on the night with their own thought-provoking comments, questions and discussion points which were submitted via text and to all of the contributors that were will to add to the discussion live on the air.

Mathematics and Being Creative

File type: YouTube

Click image to play

Planning for Teaching, Learning and Assessment: One School's Approach

The resources in this section were developed for our webinar 'Planning for Teaching, Learning and Assessment: One School's Approach.

We would recommend that you view the webinar, available on this page, to see how the resources were developed and their potential for adaptation for your own school context.

Our thanks to the staff of ETSS Wicklow for their contributions to these supports for teachers.

Planning for Teaching, Learning and Assessment

File type: YouTube

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Three Year Overview Template

File type: PDF

Click to view or download

Editable Three Year Overview Template

File type: Microsoft Word

Click to view or download

Editable Junior Cycle Mathematics Planning Template

File type: Microsoft Excel

Click to view or download

How to use the Editable Planning Template

File type: YouTube

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Relationships and Variables Unit of Learning 1 of 6

File type: PDF

Click to view or download

Relationships and Variables Unit of Learning 2 of 6

File type: PDF

Click to view or download

Relationships and Variables Unit of Learning 3 of 6

File type: PDF

Click to view or download

Relationships and Variables Unit of Learning 4 of 6

File type: PDF

Click to view or download

Relationships and Variables Unit of Learning 5 of 6

File type: PDF

Click to view or download

Relationships and Variables Unit of Learning 6 of 6

File type: PDF

Click to view or download

Relationships and Variables All 6 Units of Learning

File type: PDF

Click to view or download

Preparing for Classroom-Based Assessment 1: Mathematical Investigation & Subject Learning and Assessment Review Meeting (SLAR)

This purpose of this webinar is to offer some support for mathematics teachers preparing for Classroom-Based Assessment 1: Mathematical Investigation and the Subject Learning and Assessment Review Meeting.

The webinar is delivered in four parts:

   1. Setting the context for CBA 1
   2. Supporting student learning before CBA 1
3. Supporting student learning during CBA 1
4. Preparing for, and participating in a SLAR meeting

Support documents that were mentioned in the webinar are available on our website under Key Documents, Assessment and Resources.

Preparing for Classroom-Based Assessment 1

File type: YouTube

Click image to play

Evaluating a Proposed Mathematical Investigation

File type: PDF

Click to view or download

Supporting Deeper Learning in the Mathematics Classroom

The format of this webinar was a live panel discussion which was focused on supporting deeper learning in the maths classroom. The discussion was prompted by research on the ideas of surface learning and deep learning in mathematics education, as well as questions and comments submitted by listeners live on the night.

We were delighted to be joined by Aidan Fitzsimons, PhD candidate in Mathematics Education in DCU, Audrey Byrne, Mathematics Teacher from Lucan Community College, Dublin and Peter Fitton, Mathematics Teacher from Bishopstown Community School, Cork.

The main talking points were:
• Surface Learning and Deep Learning
• How do you create opportunity for deep learning?
• Deep Learning and the Junior Cycle Mathematics Specification

Supporting Deeper Learning

File type: YouTube

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Webinar Word Cloud

File type: Image

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Planning for Teaching and Learning using the Mathematics Specification

The purpose of this webinar is to offer teachers some support for teachers in planning using the Junior Cycle Mathematics Specification.

The webinar focused on two areas of support:
1. Making connections within and between strands
2. Creating units of learning and considering possible approaches to capturing our planning

Support documents that were mentioned in the webinar are available on our website under Key Documents, Planning, Assessment and Resources.

Planning for Teaching and Learning

File type: YouTube

Click image to play

Engaging with the Mathematics Specification

This webinar is an introduction to the Junior Cycle Mathematics Specification.

The talking points for the webinar were as follows:
1. What is the structure of the Specification?
2. Working with and unpacking learning outcomes
3. Beginning to plan for learning and teaching using our specification
4. Assessment to support student learning

Support documents that were mentioned in the webinar are available on our website under Key Documents, Wellbeing and Resources.

Engaging with the Mathematics Specification

File type: YouTube

Click image to play

Resources

Triangle Card Sort Task

File type: PDF

Click to view or download

Geogebra File - Changing (5,4)

File type: Geogebra

Click to view

Geogebra File - Changing (6,0)

File type: Geogebra

Click to view

Geogebra File - Isosceles Triangle

File type: Geogebra

Click to view

Algebra Through the Lens of Functions

Algebra Through the Lens of Functions has been developed by the Maths Development Team and is hosted here with their kind permission.

Algebra Through the Lens of Functions Part 1

File type: PDF

Click to view or download

Algebra Thought the Lens of Functions Part 2

File type: PDF

Click to view or download
Podcasts

Tangents Series 1

Tangents is a JCT Mathematics Team podcast series available on the Junior Cycle Talks podcast channel.

In this first series we spoke with a number of different people working in Maths Education to find out about creativity in the context of a maths classroom.

To hear more podcasts from the Junior Cycle Talks channel click here or search for us on SoundCloud, Spotify, Apple Podcasts or anywhere you listen to your podcasts.

Tangents - An Introduction

File type: Audio

Click to listen

Tangents Episode 1

File type: Audio

Click to listen

Tangents Episode 2

File type: Audio

Click to listen

Tangents Episode 3

File type: Audio

Click to listen

Tangents Episode 4

File type: Audio

Click to listen

Tangents Episode 5

File type: Audio

Click to listen

Tangents Episode 6

File type: Audio

Click to listen

Tangents Episode 7

File type: Audio

Click to listen

Tangents Episode 8

File type: Audio

Click to listen

Tangents Episode 9

File type: Audio

Click to listen

Tangents Episode 10

File type: Audio

Click to listen
CPD for New and Returning Teachers of Junior Cycle Mathematics
The purpose of this elective workshop was to provide an overview of the Junior Cycle Mathematics Specification as underpinned by the Framework for Junior Cycle (2015).

Discussion points for the night included:

A broader approch to assessment

Deepening student learning using rich mathematical tasks
Presentation

File type: PPT

Click to download

Booklet

File type: PDF

Click to view or download

Resource Padlet

File type: Padlet

Click to view
Live Lesson Experience

In this elective event teachers were given an opportunity to engage with lesson design and lesson observation. In advance of the elective event digital materials were provided in order to support ideas about task selection and lesson design.

The event itself had teachers collaboratively select a task and develop this task into a structured lesson for students. We then saw a lesson, selected from those designed by participants on the day, taught to a class in real time.

Live Lesson Presentation

File type: PPT

Click to download

Prompt Sheet

File type: PDF

Click to view or download

Geoboard Tasks

File type: PDF

Click to view or download

Live Lesson Resources

File type: Google Site

Click to view
SLAR Facilitation Workshop Resources

This workshop was designed to support SLAR facilitators of all subjects. The aim of this workshop is to up-skill teacher's facilitation skills, to understand fundamentals of the SLAR process and to aid them in preparing, implementing and reflecting on the SLAR process.

SLAR Facilitation Presentation

File type: PPT

Click to download

SLAR Facilitation Booklet

File type: PDF

Click to view or download

Claire Wyatt Smith

File type: YouTube

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SLAR Meeting

File type: YouTube

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Symposium 2018/2019

On the 23rd of March 2019 we hosted our inaugural JCT Mathematics Symposium.

We welcomed teachers from all over the country to the Microsoft Dreamspace in Leopardstown for the event. To see an brief overview of the symposium watch the short video at the beginning of this section.

All of the resources from the event are contained in this section, scroll down to access these resources.

Symposium Overview

File type: YouTube

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Tasks and Junior Cycle Mathematics - Keynote by Assistant Professor Sinéad Breen, DCU

We were delighted to have Dr Sinéad Breen, Assistant Professor in the School of Mathematical Sciences, DCU, open the symposium as our keynote speaker.

Sinéad spoke about the aims of junior cycle maths, rich task design and task implementation.

The slides from her keynote address are available in this section.

Keynote Presentation

File type: PPT

Click to download

Digital Tools for Flexible and Accessible Teaching, Learning and Assessment

Digital Tools Presentation

File type: PPT

Click to download

Digital Tools Booklet

File type: PDF

Click to view or download

Downloadable OneNote Notebook

File type: OneNote Notebook

View or download file

Evaluating the Cognitive Demand of Mathematical Tasks

Cognitive Demand Presentation

File type: PPT

Click to download

Cognitive Demand Booklet

File type: PDF

Click to view or download

Strategies for Teaching and Learning

Strategies Booklet

File type: PDF

Click to view or download
Assessment Guidelines Interactive Resource

This resource includes a Getting Started video followed by a series of four animated videos providing information from the The Junior Cycle Mathematics: Guidelines for the Classroom-Based Assessments and Assessment Task document. Each video is followed by some multiple choice style questions. The videos include prompts to pause and read and/or discuss information in the Assessment Guidelines.

This interactive resource can be used individually or as a subject department. If using this resource collectively, you may wish to project to a large screen with sound enabled.

Interactive Resource

File type: Microsoft Forms

Click to view

It may be preferable to engage with each of the sections of this interactive resource individually. For ease of use we have sub-divided the interactive resource into three sections:

Section One - An Overview
Section Two - CBA 1
Section Three - CBA 2 and the Assessment Task

Section One - An Overview

File type: Microsoft Forms

Click to view

Section Two - CBA 1

File type: Microsoft Forms

Click to view

Section Three - CBA 2 and the Assessment Task

File type: Microsoft Forms

Click to view

Maths

Maths

CPD Supports - Elective Workshops

Elective Workshop Resources

Elective CPD Workshops are offered to teachers as further supports. Click on each title bar to view resources.

Webinar Series arrow_drop_down

Exploring Mathigon’s Polypad - A Digital Learning Technology for Visual Representations and Manipulatives in Mathematics

The purpsoe of this webinar is to explore the use of digital manipulatives and visual representations to build conceptual understanding in the Junior Cycle Mathematics Classroom.

Connecting with Mathematics in Everyday Life

This webinar is designed for students. It explores connections to mathematics in everyday life. We were delighted to have Brendan Sidney (BER Assessor), Sinéad Curley (Senior Program Manager) and Brian Rushe (Dairy Farmer and IFA Deputy President) as our panellists.

Supporting Students for Classroom-Based Assessments

Desmos for Junior Cycle Mathematics: Using Desmos to Deepen Student Learning

Question Posing for Classroom-Based Assessment 1: Mathematical Investigation

In this section you will find excerpts from the webinar 'Question Posing for Classroom-Based Assessment 1: Mathematical Investigation'.

In this short video you will hear teachers discussing some of their ideas for departmental planning. They speak about how they plan to integrate question posing into their subject department plans incrementally for Junior Cycle mathematics.

In this short video teachers discuss a variety of different ways that they support their students when refining their mathematical question(s).

In this short video you will hear teachers discuss how they support their students to develop posed questions. They speak about the importance of supporting students to make questions viable for mathematical investigation.

In this short video teachers will share some advice they have for other teachers preparing for classroom-based assessment with their students.

In this short video you will hear teachers discussing their experiences of classroom-based assessment in mathematics.

Delving into Desmos with Dr. Dan Meyer

Based in California, Dr. Dan Meyer is the Chief Academic Officer with Desmos. Desmos is a free suite of maths software for students, available at desmos.com. During this workshop, Dan discusses the interaction between pedagogy and digital learning technologies in mathematics.

CODAP as a Tool for Teaching and Learning Mathematics

Preparing for Classroom-Based Assessment 2: Statistical Investigation & Subject Learning and Assessment Review Meeting (SLAR)

Task Selection and Problem-Solving in Mathematics

In this webinar Dr Paddy Johnson (University of Limerick) discusses selection criteria for mathematical tasks and activities which develop students' ability to problem-solve.

In this section you will find excerpts from the webinar 'Task Selection and Problem-Solving in Mathematics'. Each of the video excerpts below give an insight into areas for consideration when designing and/or selecting tasks for students.

Mathematics and Being Creative

Planning for Teaching, Learning and Assessment: One School's Approach

Preparing for Classroom-Based Assessment 1:​ Mathematical Investigation & Subject Learning and Assessment Review Meeting (SLAR)

Supporting Deeper Learning in the Mathematics Classroom

Planning for Teaching and Learning using the Mathematics Specification

Engaging with the Mathematics Specification

Resources

Algebra Through the Lens of Functions

Algebra Through the Lens of Functions has been developed by the Maths Development Team and is hosted here with their kind permission.

Podcasts arrow_drop_down

Tangents Series 1

CPD for New and Returning Teachers of Junior Cycle Mathematics arrow_drop_down

The purpose of this elective workshop was to provide an overview of the Junior Cycle Mathematics Specification as underpinned by the Framework for Junior Cycle (2015). Discussion points for the night included: A broader approch to assessment Deepening student learning using rich mathematical tasks

Live Lesson Experience arrow_drop_down

SLAR Facilitation Workshop Resources arrow_drop_down

This workshop was designed to support SLAR facilitators of all subjects. The aim of this workshop is to up-skill teacher's facilitation skills, to understand fundamentals of the SLAR process and to aid them in preparing, implementing and reflecting on the SLAR process.

Symposium 2018/2019 arrow_drop_down

Tasks and Junior Cycle Mathematics - Keynote by Assistant Professor Sinéad Breen, DCU

Digital Tools for Flexible and Accessible Teaching, Learning and Assessment

Evaluating the Cognitive Demand of Mathematical Tasks

Strategies for Teaching and Learning

Assessment Guidelines Interactive Resource arrow_drop_down

It may be preferable to engage with each of the sections of this interactive resource individually. For ease of use we have sub-divided the interactive resource into three sections: Section One - An Overview Section Two - CBA 1 Section Three - CBA 2 and the Assessment Task

Elective CPD Workshops are offered to teachers as further supports.

Click on each title bar to view resources.

Webinar Series

This webinar is designed for students. It explores connections to mathematics in everyday life.

We were delighted to have Brendan Sidney (BER Assessor), Sinéad Curley (Senior Program Manager) and Brian Rushe (Dairy Farmer and IFA Deputy President) as our panellists.

In this short video you will hear teachers discussing some of their ideas for departmental planning.

They speak about how they plan to integrate question posing into their subject department plans incrementally for Junior Cycle mathematics.

In this short video you will hear teachers discuss how they support their students to develop posed questions.

They speak about the importance of supporting students to make questions viable for mathematical investigation.

Based in California, Dr. Dan Meyer is the Chief Academic Officer with Desmos. Desmos is a free suite of maths software for students, available at desmos.com.

During this workshop, Dan discusses the interaction between pedagogy and digital learning technologies in mathematics.

In this section you will find excerpts from the webinar 'Task Selection and Problem-Solving in Mathematics'.

Each of the video excerpts below give an insight into areas for consideration when designing and/or selecting tasks for students.

Preparing for Classroom-Based Assessment 1: Mathematical Investigation & Subject Learning and Assessment Review Meeting (SLAR)

Podcasts

CPD for New and Returning Teachers of Junior Cycle Mathematics

Live Lesson Experience

SLAR Facilitation Workshop Resources

Symposium 2018/2019

Assessment Guidelines Interactive Resource

It may be preferable to engage with each of the sections of this interactive resource individually. For ease of use we have sub-divided the interactive resource into three sections:

Section One - An Overview
Section Two - CBA 1
Section Three - CBA 2 and the Assessment Task