introducing a fully integrated mathematics learning platform a fully integrated mathematics learning...

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introducing a fully integrated mathematics learning platform

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Page 1: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

introducing introducing

a fully integrated mathematics

learning platform

a fully integrated mathematics

learning platform

Page 2: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

AlgebraAlgebra Graphs

& Geometry

Graphs

& Geometry

Lists &

Spreadsheet

Lists &

Spreadsheet

bringing it all

together

bringing it all

together

algebra

statistics

geometryCalculator

Lists &Spreadsheet

Graphs &Geometry

Notes

Assessment

& Review

Assessment

& Review

assessment & review

Introducing TI-Nspire CAS

Page 3: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

fully integrated technology

• Multiple representations, dynamically linked, encouraging multiple approaches to solving problems and expressing solutions.

• A complete set of easy-to-use mathematical tools for algebra, number, geometry, statistics and real-world data collection - all in one package.

• Working documents can be saved, recalled, edited and transferred between handheld, PC and Mac - and distributed electronically!

•An optimal tool for concept and skill development across the secondary school years.

Page 4: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

what is TI-Nspire CAS?

Just imagine…

The algebraic powerof the TI-89T…

The statistical and graphical power of the TI-84Plus…

The interactivegeometryof the Voyage 200…

Now integrate these with spreadsheeting,real-world data collection and more…

Page 5: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

TI-Nspire CAS integrates list and spreadsheet capabilities, supporting…

what is TI-Nspire CAS?

real-world data collection

and a complete range of easy-to-use menu-driven statistical functions.

Page 6: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

how is TI-Nspire CAS different to the TI-89T?

Consider this problem:

At exactly what value of x do the curves y = ax and y = loga(x) kiss?

Using the TI-89T…

1. INVESTIGATE GRAPHICALLYBy trial and error, define various values for “a” and observe the effect on the graph.

2. BUILD AN ALGEBRAIC SOLUTIONCarefully solve the problem algebraically – ensuring that all expressions are entered correctly!

Page 7: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

TI-Nspire CAS: different to the TI-89T? How?

Consider this problem:

At exactly what value of x do the curves y = ax and y = loga(x) kiss?

Using TI-Nspire CAS…

1. Easily create a slider and explore many possible values for “a”. Label algebraic objects correctly using templates.

2. Use templates to easily and correctly enter all expressions: input and output both expressed in mathematical notation!

3. Students use Notes to explain their thinking and describe the solution process.

Page 8: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

an optimal modeling environment

Problem posing and solving

Model geometrically

Explore Graphically

Explore Algebraically

Fully integrated Mathematics learning environment

Page 9: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

examination ready…

VCE 2005Mathematical MethodsExamination 1Part 2Question 4

Page 10: Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform

benefits for all…

• An optimal environment for teachers

• An optimal environment for students