School level

22nd May

22nd May: Problem Solving

Problem solving means engaging in a task for which the solution is not immediately obvious. Problem solving is integral to mathematical learning. In day-to-day life and in the workplace the ability to problem solve is a highly advantageous skill.
In the mathematics classroom problem solving should not be met in isolation, but should permeate all aspects of the teaching and learning experience. Problems may concern purely mathematical matters or some applied context.
In a mathematics problem-solving environment it is recognised that there are three things learners need to do:
• make sense of the problem
• make sense of the mathematics they can learn and use when doing the problem
• arrive at a correct solution to the problem

Problem Solving Resources and Presentations
GeoGebra Files

Problem Solving Booklet

https://www.scoilnet.ieuploads/resources/33096/32840.pdf Added: 20 May 2020 Contributor: PDST Resource type: Guide/notes / Worksheet

The PDST Maths Development Team produced this booklet for Post-Primary students on the course content of 4.1 and 4.2. The booklet contains 19 pages of activities and questions for students to work on.

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: 3. Number

Strand unit: 1. Number Systems (Complex Numbers,Sequences)

Suggestions for use: Useful for TY students or to help planning with problem solving in senior cycle.

Strand: Supplementary Resources

Asset type: Document
Language: English
Special Needs:

Problem Solving Posters

https://www.scoilnet.ieuploads/resources/33098/32842.pdf Added: 20 May 2020 Contributor: PDST Resource type: Demonstration / Reference

A selection of problem solving posters for display in the classroom. Eight posters to choose from.

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Posters for display in the classroom

Asset type: Document
Language: English
Special Needs:

Problem Solving Questions

Forty-seven problem solving questions that were originally created for Junior Cert students but links to the new strand unit 1.4.

JC Mathematics

How it maps to the curriculum

JC
Mathematics

Strand: 1. Unifying

Strand unit: 4. Problem Solving

Suggestions for use: Useful resource for planning problem solving questions

Asset type: Document
Language: English
Special Needs:

Problem Solving Questions for Leaving Cert

A selection of problem solving questions on the topic of statistics and probability. These questions would be suitable for students studying for the Leaving Cert Foundation Level.

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: 1. Statistics & Probability

Strand unit: 2. Concept of Probability

Suggestions for use: Useful resource for planning problem solving questions

Asset type: Document
Language: English
Special Needs:

Problem Solving Questions Leaving Cert

A selection of problem solving questions containing ordinary and higher level Leaving Certificate questions.

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Revision

Suggestions for use: Useful resource to help planning problem solving questions

Asset type: Document
Language: English
Special Needs:

Solutions to Problem Solving Questions Junior Cert

Solutions to the Junior Cert problem solving activities. The problem solving worksheet can be accessed here >
https://www.scoilnet.ie/search/resource/entity/show/Lre/33099/

JC Mathematics

How it maps to the curriculum

JC
Mathematics

Strand: 1. Unifying

Strand unit: 4. Problem Solving

Suggestions for use: Solutions to the problem solving Junior Cert document

Asset type: Document
Language: English
Special Needs:

Solutions to Problem Solving Questions (Leaving cert Foundation Level)

Leaving Certificate Foundation Level students can review the solutions to the problem solving questions using this document. The problem solving worksheet without the solutions is available here>
https://www.scoilnet.ie/search/resource/entity/show/Lre/33100/

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Useful for planning problem solving questions

Asset type: Document
Language: English
Special Needs:

Solutions to Problem Solving Questions (Leaving Cert OL and HL)

Leaving Certificate Ordinary and Higher Level students can review the solutions to the problem solving questions using this document. The problem solving worksheet without the solutions is available here>
https://www.scoilnet.ie/search/resource/entity/show/Lre/33102/

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Useful for planning problem solving questions

Asset type: Document
Language: English
Special Needs:

Teaching through problem solving to promote Mathematical thinking.

Presentation by Professor Takahaski at maths counts 2016

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Useful resource for teachers to help with planning problem solving in the classroom

Asset type: Presentation
Language: English
Special Needs:

Number problems

Problem solving questions focused on number

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: 3. Number

Strand unit: 1. Number Systems (Complex Numbers,Sequences)

Suggestions for use: Useful problems solving questions to help with planning

Asset type: Document
Language: English
Special Needs:

Expanding Car park

https://www.geogebra.org/m/HBEKBcuN Added: 20 May 2020 Contributor: PDST Resource type: App/software

Use in conjunction with the corresponding activity from modular course 4 (Problem solving booklet)

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Use in conjunction with the corresponding activity from modular course 4 (Problem solving booklet)

Asset type: Online Resource
Language: English
Special Needs:

Net of a Cone

https://www.scoilnet.ie/pdst/maths/...perpendicular-lines/net-of-a-cone1/ Added: 26 Jun 2019 Contributor: PDST Resource type: Experiment / Guide/notes

The following applet can be used to explore the net of a Cone and it's surface area formula.Use slider to change the radius of the base and slider h to change height of the cone. Finally use the Net slider or press the play button to show how the cone unraps into its net.

JC Mathematics

How it maps to the curriculum

JC
Mathematics

Strand: 3. Geometry & Trigonometry

Strand unit: 2. 2D Shapes and 3D Solids

Asset type: Online Resource
Language: English
Special Needs:

Net of a Cylinder

https://www.scoilnet.ie/pdst/maths/...pendicular-lines/net-of-a-cylinder/ Added: 26 Jun 2019 Contributor: PDST Resource type: Experiment / Guide/notes

The following applet can be used to explore the net of a Cylinder and it's surface area formula. Click on the formula to see the surface area formula for a cylinder. Change the height of the cylinder by dragging the h slider. Click play below the n slider to open the cylinder out.

JC Mathematics

How it maps to the curriculum

JC
Mathematics

Strand: 3. Geometry & Trigonometry

Strand unit: 2. 2D Shapes and 3D Solids

Asset type: Online Resource
Language: English
Special Needs:

Net of a Cube

https://www.scoilnet.ie/pdst/maths/student/lc/lc-numbers/net/ Added: 09 Nov 2019 Contributor: PDST Resource type: Guide/notes / Simulation

Interactive GeoGebra files to visualise net of a cube.

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: 3. Number

Strand unit: 4. Length, Area & Volume

Asset type: Online Resource
Language: English
Special Needs:

Arthur Benjamin: A performance of "Mathemagic" - Video

http://www.ted.com/talks/arthur_benjamin_does_mathemagic Added: 28 Jul 2016 Contributor: Scoilnet Resource type: Audio / Video

In a lively show, mathemagician Arthur Benjamin races a team of calculators to figure out 3-digit squares, solves another massive mental equation and guesses a few birthdays. How does he do it?
See related video on more patterns in maths!

JC Mathematics

How it maps to the curriculum

JC
Mathematics

Strand: 1. Unifying

Strand unit: 4. Problem Solving

Suggestions for use: Use the video when explaining squares to first year students. Students should check Arthur's answers using their calculators as a way to practice finding squares of numbers on a calculator.

Key Skills: Managing Information and Thinking

Asset type: Video
Language: English
Special Needs:

Math class needs a makeover | Dan Meyer

https://www.youtube.com/watch?v=NWUFjb8w9Ps Added: 20 May 2020 Contributor: PDST Resource type: Audio / Video

At TEDxNYED, Dan Meyer shows classroom-tested math exercises that prompt students to stop and think.

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Interesting perspective on teaching Mathematics that could be used to help plan

Asset type: Video
Language: English
Special Needs:

Professor Takahashi keynote speech at Maths counts 2016

https://www.youtube.com/watch?v=k-HdYsq_xp4 Added: 20 May 2020 Contributor: PDST Resource type: Audio / Video

Professor Takahashi gives an overview of the success of teaching through problem solving

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Motivation for teaching through problem solving and how it can be a successful approach.

Asset type: Video
Language: English
Special Needs:

Maths counts 2016 webpage

https://www.projectmaths.ie/for-tea...hers/conferences/maths-counts-2016/ Added: 20 May 2020 Contributor: PDST Resource type: Lesson Plan / Presentation / Reference / Other / Primary Source

further resources including lesson plans, worksheets and videos of Professor Takahashi teaching a lesson.

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Useful for teachers to help create lesson plans and resources based on problem solving for students

Asset type: Online Resource
Language: English
Special Needs:

Problem of the week web page

https://www.cemc.uwaterloo.ca/resources/potw.php Added: 22 May 2020 Contributor: PDST Resource type: Other

Website where you can sign up with your email to receive up to 4 problems every Thursday afternoon. Site also contains an archive of great problems.

SC Mathematics

How it maps to the curriculum

SC
Mathematics

Strand: Supplementary Resources

Strand unit: Other

Suggestions for use: Problems that can be used for planning and creating resources for students from first year to sixth year.

Asset type: Online Resource
Language: English
Special Needs:

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