Learning with Technology in the Mathematics Classroom Colleen Young.

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Presentation transcript:

Learning with Technology in the Mathematics Classroom Colleen Young

Learning with Technology in the Mathematics Classroom Many wonderful websites to use in your classroom....which your students can also use at home

Learning with Technology in the Mathematics Classroom The following slides all have hyperlinks to further information. Many images have hyperlinks, see also any text as positioned below. Many hyperlinks in this position

Lesson Planning

This year I will.... Use a greater variety of starters. Mathematics – Starters and Plenaries

Bell WorkBell Work Diagnostic QuestionsDiagnostic Questions

Rich Questions

WolframAlpha Check work with

Here’s the diagram....what’s the question?

Desmos Problems

Recall – Calculus mini-test

Composite Number Tree by Jeffrey Ventrella

FlashMaths – J HallFlashMaths – J Hall Arithmagons – resourcesArithmagons – resources

Advanced Arithmagons – Jonny Griffiths

This year I will.... Ask great questions. Rich QuestionsRich Questions Bloomin’ MathematicsBloomin’ Mathematics

Rich QuestionsRich Questions Bloomin’ MathematicsBloomin’ Mathematics

Sequences Remembering Understanding

Rich QuestionsRich Questions Bloomin’ MathematicsBloomin’ Mathematics Applying

Rich QuestionsRich Questions Bloomin’ MathematicsBloomin’ Mathematics to check use

Desmos graph page to checkuse

This year I will.... Integrate rich tasks into my normal classroom practice. Rich Tasks

This year I will.... Try some new resources. I’m Looking For....

Nrich – Upper Secondary Curriculum Content

NrichNrich Curve Match ProblemCurve Match Problem

Problem page on Desmos

Nrich – STEM mapping

Nrich – Scientific Calculation

Standard Form Resources

Nrich – STEP Prep

Tarsia PuzzlesTarsia Puzzles Post 16 Tarsia examplesPost 16 Tarsia examples

Standards Unit

This year I will.... Keep on using resources that students can then use at home. Top >10 Maths Websites for Students

WolframAlpha Examples

Desmos Graphing Calculator

Dancing with Desmos

Draw a quick graph Suppose you want a graph of y = 3x+2 Simply go to Desmos and type in your functionDesmos That’s it – one graph! Learning to use DesmosLearning to use Desmos y = 3x+2y = 3x+2

Learn about sliders Now suppose you want to explore straight line graphs. Simply go to Desmos and type in your function but this time use variables:Desmos You will be offered the chance to add sliders – select all

Learn about sliders y = mx+c Now you have sliders Try changing them and watch that graph!

Learn about sliders If you want a slider to have integer values only, select one of the end points: then you could make the step size 1 for integer values and also change the lowest and highest values if you want y = mx+cy = mx+c try changing the sliders

Learn about sliders If you want a slider to have integer values only, select one of the end points: then you could make the step size 1 for integer values and also change the lowest and highest values if you want y=mx+c, m and c integers

Points of Interest Points of interest

Tables First enter your function then select edit list and choose convert to table

Tables y = 1/x with table

Tables y = 1/x with table Now try changing the table: Change the first value of x Delete the other rows Enter a second value of x....then keep pressing enter

Tables y = 1/x with table – more values

Settings Try changing the x and y axes Uncheck Equalize Axis Scales for more control over the axis settings Experiment with the three show settings to see what happens Try changing the axes for the quadratic function in the link below Quadratic - try changing axes

f(x+k)

Piece-wise Functions Example 1Example 1 Example 2Example 2

WolframAlpha

Calculators & Tools

Mathscard – Loughborough University

Notes for Students

This year I will.... Use technology more where it can enhance learning, eg for collabration. Digital Tools

Do your students communicate in more than one way?

Do your students collaborate and share ideas? Digital Tools

7S....Their AMAZING Story, of the WIKISPACES!

This year I will.... End my lessons well. PlenariesPlenaries Lesson EndingsLesson Endings

This year I will.... Use a greater variety of homework activities. Homework Ideas

Is it helpful to have the details of any current homework online?

□ Yes! □ Very helpful □ Yes, very □ Definitely □ Yes, very helpful, especially if you are off □ Yes, very good for disorganised people (ie me) who always forget to write it down! Homework Ideas

Set some questions with solutions and mark schemes Prepare ahead Revise and Recall Rich Tasks Use Online Resources Vocabulary Reflective Writing Collaborate online Do two! Homework Ideas

This year I will.... Give my students clear and frequent feedback. FeedbackFeedback ProgressionProgression

The most powerful single modification that enhances achievement is feedback. The simplest prescription for improving education must be “dollops of feedback”. Hattie, J.A. (1992). Measuring the effects of schooling. Australian Journal of Education (see page 9). Hattie, J.A. (1992). Measuring the effects of schooling. Australian Journal of Education FeedbackFeedback ProgressionProgression

Do you give students enough time to reflect ?

ClassCharts

This year I will.... Read more. “It is what you read when you don't have to that determines what you will be when you can't help it.” ― Oscar Wilde “Classic' - a book which people praise and don't read.” ― Mark Twain Reading

Writing Things Down □ Gives you a permanent record □ Helps your memory □ Shows you are serious □ Makes you more accountable □ Helps you work things out □ Improves your writing! Sacha Chua - How to brain-dump what you know

Writing Things Down □ Writing became such a process of discovery that I couldn't wait to get to work in the morning: I wanted to know what I was going to say. Sharon O'Brien □ Writing is thinking on paper. William Zinsser Sacha Chua - How to brain-dump what you know

This year I will.... Organise all my ideas and resources so I can find them again! Searching for things...

I’m looking for..... Resources Top Posts – RecentTop Posts – Recent Top Posts – All TimeTop Posts – All Time Top >10 Mathematics Websites

Colleen Young Mathematics, Learning & Web 2.0 Mathematics for Students