25072014 - tmc14 hinge questions

Nik Doran

http://spectatormaths. wordpress.com

nik.mort@gmail.com

@nik_d_maths

Hinge Questions

#TMC14

Precursor #1

Bibliography

What students

know?

Hinge vs

Diagnostic

What students

think?

What students

have learnt?

Best guess we

can

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Precursor #2

Why did you come today?

A. I know nothing about hinge questions

B. I know some about hinge questions and I want to learn

more

C. I want to write some hinge questions with others

D. I’ve used hinge questions in the past and I want to make

them better

E. I want to listen to Nik talk for an hour

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

What?

Check for

understanding

Diagnose

misconceptions

Help make

decisions on

moving on http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Discussion

Look at the following sequence:

3, 7, 11, 15, 19, ...

Which is the best rule to describe the sequence?

A. n + 4

B. 3 + n

C. 4n – 1

D. 4n + 3

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Discussion vs Diagnostic

Discussion

Kick start classroom

discussion

Powerful in their own right

Require lots of class time

Only those who contribute

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Diagnostic

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Discussion vs Diagnostic

Discussion

Kick start classroom

discussion

Powerful in their own right

Require lots of class time

Only those who contribute

are heard from

Diagnostic

Contribution from every

student

Little classroom time

Predicted answers

Understand (some) thinking

without discussion

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Three Key Features

Time to answer

2mins

Semi Density Ease of

Interpretation

15secs Why did they

answer like

that? http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Semi Dense

Response interpretability

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Semi Dense

Response Discrimination

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Semi Dense

Exhaustive

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Semi Dense

Semi Dense

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Semi Dense

Rule Discrimination – the most common best case

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Semi Dense

Example 1A Example 1B

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Example 2

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Example 3

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Example 4

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Ways to Use #1

Can we move on?

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Ways to Use #2

Groups by answer

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Ways to Use #3

Focus group for a

misconception, others

move on

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Question design

Multiple Choice

Because you’re predicting

the answers they will give

Be careful with distracters

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Six and two is better than

four and one

Easier for you to interpret

(key feature #2)

Does eliminate new

information on new

misconceptions

Question Design

Top Down

“I have this topic and there’s a key point that I need students

to know before I move on”

“I have this topic that loads of students messed up and I want

a better idea who has what misconception”

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Question Design

Bottom Up

“I keep seeing the same misconceptions and I want to pre-

empt them”

“I want to know which students think [this] about a topic”

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Question design

Important things to think about

What misconceptions are

there?

What other answers are

there?

What mistakes are often

made?

Can I get my answers another

way?

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Some Topic Ideas

Rearranging

Stationary

points

Linear

equations

Reverse

percentages

Angle rules

Anything you

think of...?

Integer

arithmetic

http://goo.gl/WssZEE http://goo.gl/0UNz9Y

Nik Doran

http://spectatormaths. wordpress.com

nik.mort@gmail.com

@nik_d_maths

Hinge Questions

#TMC14