# Howard A Stern

## Presentation on theme: "Howard A Stern"— Presentation transcript:

Howard A Stern hastern@gmail.com www.mathmtcs.com

Common Core is coming hastern@gmail.com www.mathmtcs.com

Not Just the Standards  Algebra  Functions  Modeling  Geometry  Statistics hastern@gmail.com www.mathmtcs.com

But Also the Practices  Make sense of problems and persevere in solving them  Reason abstractly and quantitatively.  Construct viable arguments and critique the reasoning of others.  Model with mathematics.  Use appropriate tools strategically.  Attend to precision.  Look for and make use of structure.  Look for and express regularity in repeated reasoning. hastern@gmail.com www.mathmtcs.com

Particularly suited to Nspire  Construct viable arguments and critique the reasoning of others.  Model with mathematics.  Use appropriate tools strategically.  Look for and make use of structure. hastern@gmail.com www.mathmtcs.com

Viable Arguments  As an end goal  As a means of formative assessment. hastern@gmail.com www.mathmtcs.com

Argument Does Not Mean Rant hastern@gmail.com www.mathmtcs.com

 Use student thinking to discover misconceptions  Use student understanding as a guide  Push them to make connections hastern@gmail.com www.mathmtcs.com

Modeling  Mixing the four modes (graphical, textual, symbolic, and tabular)  Take mathematical action on a mathematical object and observe the mathematical consequences. hastern@gmail.com www.mathmtcs.com

Use appropriate tools  Almost all handheld activies involve some level of strategic use of appropriate tools. hastern@gmail.com www.mathmtcs.com

Structure  Table view  Function rules  Ability to drag and drop objects to organize the display hastern@gmail.com www.mathmtcs.com

But …  How do we use Nspire apps to encourage these practices. hastern@gmail.com www.mathmtcs.com

distributive_property.tns  On page 1.2 grab and drag points a, b, and c and come up with three observations about the relation to the expressions in blue. hastern@gmail.com www.mathmtcs.com

Possible discussion points  Why is sign of b + c more important than individual b and c?  Does order of a, b, and c on the number line matter?  Did you try all combinations of positives and negatives? hastern@gmail.com www.mathmtcs.com

CCSS?  Students will look for regularity in repeated reasoning  Students will use appropriate tools strategically hastern@gmail.com www.mathmtcs.com

Points_on_a_Line.tns  On page 1.2 observe the horizontal and vertical changes you must make to point A to get it to point B. hastern@gmail.com www.mathmtcs.com

Possible discussion points  Does direction matter? (moving both distance AND direction)  When moving, for example, up 7, is it okay to call it “positive 7?” How about “plus 7?” hastern@gmail.com www.mathmtcs.com

CCSS?  Students will look for regularity in repeated reasoning  Students will use appropriate tools strategically  Students will model with mathematics hastern@gmail.com www.mathmtcs.com

Simple_Inequalities.tns  Observe effect of dragging point P (below the number line) and changing the relationship symbol (upper left corner of symbol box) hastern@gmail.com www.mathmtcs.com

Possible discussion points  What changes and what stays the same as you drag screen objects?  What is the significance of the open or closed circle? hastern@gmail.com www.mathmtcs.com

CCSS?  Students will look for regularity in repeated reasoning  Students will use appropriate tools strategically  Students will look for and make use of structure hastern@gmail.com www.mathmtcs.com

How_Many_Solutions.tns  Rotate and translate line 2  What do you observe about the number of intersections or points in common with line 1? hastern@gmail.com www.mathmtcs.com

Possible discussion points  Remind about relationship between “slope” and “rate of change.”  How do you KNOW when lines are parallel?  What is the difference between “answer” and “solution?” hastern@gmail.com www.mathmtcs.com

CCSS?  Students will look for regularity in repeated reasoning  Students will use appropriate tools strategically hastern@gmail.com www.mathmtcs.com

Function_Notation.tns  Drag the number line points on pages 1.2, 1.3, and 1.4 and observe the effects on the “function machine.” hastern@gmail.com www.mathmtcs.com

Possible discussion points  What do “x” and “f(x)” symbolize?  What is the relationship between function notation and simply evaluating expressions at given points?  Is y=[expression] always the same as f(x)=[expression]  What is the difference between the 2s in f(2)=y and f(x)=2 hastern@gmail.com www.mathmtcs.com

CCSS?  Students will look for regularity in repeated reasoning  Students will use appropriate tools strategically  Students will reason abstractly and quantitatively hastern@gmail.com www.mathmtcs.com

Wrapping up  Many of us have already been using Common Core practices  A focus on how we ask questions is almost always appropriate  Technology can, but does not always, enhance our lessons hastern@gmail.com www.mathmtcs.com

Thank you for attending  I will post the PowerPoint on my website www.mathmtcs.com www.mathmtcs.com  Activities used may all be downloaded from MathNspired (TI website)  I don’t always talk maths, but welcome twitter followers @mathmtcs hastern@gmail.com www.mathmtcs.com

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