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Mathematics and ICT

Mathematics and ICT. National Numeracy Strategy National Curriculum for Mathematics. National Numeracy Strategy. emphasis on mental mathematics building a network of understanding by making connections between existing ideas importance of discussion of mathematical ideas.

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Mathematics and ICT

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  1. Mathematics and ICT National Numeracy Strategy National Curriculum for Mathematics

  2. National Numeracy Strategy • emphasis on mental mathematics • building a network of understanding • by making connections between existing ideas • importance of discussion of mathematical ideas

  3. National Numeracy Strategy • these principles belong to a 'constructivist' approach to learning, but much use of ICT for mathematics has followed a 'behaviourist' approach • repetitive drill programs to practice calculation

  4. National Curriculum for Mathematics • Data Handling • database • spreadsheet and charts • Shape and Space, Movement and Angle • turtle graphics • Number Patterns • spreadsheet • turtle graphics

  5. Data Handling • KS 2 (small part in KS 1) • it is more important to understand why we collect data than to learn to mechanically turn data into a bar chart

  6. pose the question make deductions collect data analyse & represent data interpret data Data Handling • the model:

  7. Data Handling • benefits of IT in data handling • allows children to try out different representations of the data, leading to better understanding of • the meaning of the data set • how to interpret data • helps children to understand how to construct graphs and chart, including handling scale

  8. Shape and Space, Movement and Angle • turtle graphics gives understanding of • heading and angles • shape • units of measurement • breaking large tasks into small steps

  9. Shape and Space, Movement and Angle • turtle graphics introduces the idea of • functions (KS3/4) • turtle graphics develops skills in • estimating • orientation and heading • problem solving

  10. Shape and Space, Movement and Angle • developing from the concrete to the abstract • playing turtle • floor turtle (Roamer) • screen turtle

  11. Logo / Turtle Graphics • applications in curriculum • NC ICT and NC Technology • problem solving • control • NC Mathematics • shape and space, movement and angle

  12. Logo / Turtle Graphics • origins • MIT • Seymour Papert • Harold Abelson • theories of learning • education and disaffected pupils

  13. Number Patterns • KS 1 • " . . . explore, record, explain and predict basic number patterns " • KS 2 • " . . . progress to interpreting, generalising . . . expressed initially in words and then using letters as symbols "

  14. Number Patterns • Variables • definition of a variable: • something whose value can change • difficulty children have with abstraction (algebra and those xs and ys) • " . . . there is good evidence, supported by commonsense observation, that young students see the world as built of objects and events, not as variables." (Ogborn, J. Modelling with the computer at all ages. Portugaliae Physica, 21 (3/4), 1992)

  15. IT and using variables • where • spreadsheets • turtle graphics

  16. IT and using variables • concrete  abstract • variables in classroom displays • day and date • weather and temperature • whose turn to . . . feed gerbils . . . give out books

  17. IT and using variables • concrete  abstract • reinforce variable concept by method of display • container and value • name the container • use removable card for value • easy to change • easy to understand concept • importance of discussion

  18. Spreadsheets and Variables • each cell is potentially a variable • formulas combine the variables • simple explorations • guess the formula • are the formulas equivalent ? • e.g. A3 + A3 and A3 * 2 • formulas with more than one step • e.g. A3 * 2 + 3 • relationships between number patterns • e.g. triangular numbers

  19. Variables in Turtle Graphics parameters to procedures • e.g. development of drawing a square • the series of, for example, FD 100 and RT 90 commands • create a new Turtle command (procedure) called SQUARE • draw a square by issuing the SQUARE command

  20. Variables in Turtle Graphics parameters to procedures • e.g. development of drawing a square • modify the SQUARE command by adding a 'run parameter' for the length of a side TO SQUARE :SIDE FD :SIDE RT 90 etc • draw squares of different sizes by issuing the SQUARE command with different run time values SQUARE 150 SQUARE 200

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