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Problem Solving

Problem Solving . A Pilot Programme with second-year students Seamus Knox (DES) Fiona Lennon (PMDT) Tony Knox ( PMDT) Johnny Flaherty ( PMDT). Introduction. Background Purpose Introduce students to collaborative problem solving Motivate curricular content

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Problem Solving

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  1. Problem Solving A Pilot Programme with second-year students Seamus Knox (DES) Fiona Lennon (PMDT) Tony Knox (PMDT) Johnny Flaherty (PMDT)

  2. Introduction Background • Purpose • Introduce students to collaborative problem solving • Motivate curricular content • Establish student response to the process • Project Design & Organisation • Partnership • Workshops • Laois Education Centre • School-Based • Project Website mathsprojectlaois.weebly.com • Content • Chat

  3. Student Profile • 18 students in total-9B,9G • 14 Average or Just above average • 4 Well above average • Half of the students listed Mathematics as one of their two favourite subjects • 14 enjoyed mathematics ‘most of the time’ in school • When asked if they liked mathematics all agreed or strongly agreed

  4. Workshop Structure • Minimal Instruction • Group work • Unseen Problems • Collaboration • Discussion • Internet Access • Presentation of Solutions • Homework • Research Topics • Feedback

  5. Workshop Content Workshop 1 • Introduction to GeoGebra • Car Park Problem • Paper Folding Workshop 2 • Constructions • The Euler Line • Napoleon’s Theorem Role of GeoGebra in facilitating a problem-solving approach • Strengths • Weaknesses

  6. Expanding Car park A client wants to double the area of his car park. He insists on retaining a square shape and as many of the trees as possible. • What is the best solution?

  7. Why Choose This Problem? • Interesting. • Many approaches. • Accessible. • Layers. • Linked to syllabus. • Lends itself to group work and promotes discussion. • Requires students to explain their thinking.

  8. Workshop Content Workshops 3 &4 • Basic Number Theory • Properties of number • Divisibility Tests • Sequences • Building on the students’ prior learning • Algebra • Factors • Place Value • Basic Expansions

  9. School Workshops Four in Total • Designed and delivered by students • Content • Delivery Model • Outcomes • Positives • Student Engagement • Response from the Delivery Teams • Response from Schools • Shortcomings • Too ambitious • Too much content • Too little exploration

  10. Student Responses

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