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James Calleja ©2015

PD: Planning for Questioning

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Teacher guide to support teachers in planning to use questions that provoke and support student thinking

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James  Calleja     ©2015  

2   Teaching  and  Learning  Mathematics  through  Inquiry    

OBJECTIVES  OF  PROFESSIONAL  DEVELOPMENT      

Ø To  develop  teachers’  self-­‐awareness  and  analysis  of  their  own  questioning  techniques    

Ø To   identify   key   features   of   effective  questioning    

Ø To  enhance  the  planning  for  and  the  use  of  divergent  questions    

Ø To  identify  relevant  questioning  skills  and  plans,  for  professional  development,  which  teachers  can  then  pursue    

 

 

   RESEARCH-­‐BASED  PRINCIPLES  FOR  EFFECTIVE  QUESTIONING    

The  principles  below  are  taken  from  the  PRIMAS  PD  materials  available  online:  www.primas-­‐project.eu  

 

The  following  are  five  research-­‐based  principles  for  effective  questioning    

       

 

• The  teacher  plans  questions  that  encourage  thinking  and  reasoning.  

• Every  student  is  included.  

• Students  are  given  time  to  think.  

• The  teacher  avoids  judging  students’  responses.  

• Students’  responses  are  followed  up  to  encourage  deeper  thinking.  

Teaching  and  Learning  Mathematics  through  Inquiry   3    

A  FOCUS  ON  THINK-­‐TIME      Mary  Budd  Rowe  (1972)  and  later,  Robert  J.  Stahl  (1985)  studied  the  concept  of  

‘think-­‐time’   and   found   that   periods   of   silence   that   followed   teacher   questions  

and  students'  completed  responses  rarely  lasted  more  than  1.5  seconds  in  typical  

classrooms.  They  discovered,  however,  that  when  these  periods  of  silence  lasted  

at   least   3   seconds,   many   positive   things   happened   to   students'   and   teachers'  

behaviours   and   attitudes.   To   achieve   such   benefits,   teachers   were   urged   and  

encouraged  to   ‘wait’   in  silence  for  3  or  more  seconds  after  their  questions,  and  

after  students  completed  their  responses.  

 

Research  (Rowe  1972;  Stahl  1990)  shows  

that   when   students   are   given   3   or   more  

seconds  of  undisturbed  ‘think-­‐time’,  there  

are   positive   outcomes   from   students  

related  to:  

ü An  increased  length  and  correctness  

of  responses;  

ü A  decrease   in   ‘I  don't  know’  and  no  

answer  responses;  

ü A   sharp   increase   in   the   number   of  

volunteered,  appropriate  answers  by  larger  numbers  of  students;  

ü An  increase  in  academic  achievement  scores.  

 

Also,   when   teachers   wait   patiently   in   silence   for   3   or   more   seconds,   positive  

changes  in  their  own  behaviors  occur:  

ü Their  questioning  strategies  tend  to  be  more  varied  and  flexible;  

ü They  decrease  the  quantity  and  increase  the  quality  and  variety  of  their  

questions;  

ü They  ask  additional  questions  that  require  more  complex  information  

processing  and  higher-­‐level  thinking  on  the  part  of  students.  

4   Teaching  and  Learning  Mathematics  through  Inquiry    

USING  EFFECTIVE  QUESTIONING    

The  questions  below  are  taken  from  the  PRIMAS  PD  materials  available  online:  www.primas-­‐project.eu  

Consider   the   following   questions   used   at   different   phases   of   an   inquiry-­‐based  lesson.    

Beginning  an  Inquiry  

 

• What  do  you  already  know  that  might  be  useful  here?  • What  sort  of  diagram  might  be  helpful?  • Can  you  invent  a  simple  notation  for  this?  • How  can  you  simplify  this  problem?  • What  is  known  and  what  is  unknown?  • What  assumptions  might  we  make?  

 

Progressing  with  an    Inquiry  

 

• Where  have  you  seen  something  like  this  before?  • What  is  fixed  here,  and  what  can  we  change?    • What  is  the  same  and  what  is  different  here?  • What  would  happen  if  I  changed  this…  to  this...?  • Is  this  approach  going  anywhere?  • What  will  you  do  when  you  get  that  answer?  • This  is  just  a  special  case  of  ...  what?  • Can  you  form  any  hypotheses?  • Can  you  think  of  any  counterexamples?  • What  mistakes  have  we  made?  • Can  you  suggest  a  different  way  of  doing  this?  • What  conclusions  can  you  make  from  this  data?  • How  can  we  check  this  calculation  without  doing  it  all  again?  • What  is  a  sensible  way  to  record  this?  

 

Interpreting  and  evaluating  the  results  of  an  Inquiry  

 

• How  can  you  best  display  your  data?    • Is  it  better  to  use  this  type  of  chart  or  that  one?  Why?  • What  patterns  can  you  see  in  this  data?  • What  reasons  might  there  be  for  these  patterns?  • Can  you  give  me  a  convincing  argument  for  that  statement?  • Do  you  think  that  answer  is  reasonable?  Why?  • How  can  you  be  100%  sure  that  is  true?  Convince  me!  • What  do  you  think  of  Anne's  argument?  Why?  • Which  method  might  be  best  to  use  here?  Why?  

 

Communicating  conclusions  and  

reflecting  

 

• What  method  did  you  use?  • What  other  methods  have  you  considered?  • Which  of  your  methods  was  the  best?  Why?  • Which  method  was  the  quickest?  • Where  have  you  seen  a  problem  like  this  before?    • What  methods  did  you  use  last  time?  Would  they  have  

worked  here?  • What  helpful  strategies  have  you  learned  for  next  time?  

 

 

Teachers  plan  effective  questions  beforehand.    

It  is  usually  helpful  to  plan  sequences  of  questions  that  build  on  and  extend  students'  thinking.    The  teacher  needs  to  remain  flexible  and  allow  time  for  students  to  follow  up  responses.  

Teaching  and  Learning  Mathematics  through  Inquiry   5    

PLANNING  A  LESSON  AROUND  QUESTIONING    

When   you   decide   on   a   problem   to   try   with   your   class,   use   the   ‘Planning   for  

Effective  Questioning’   table,  provided  in  the  next  page,   to  plan  your   lesson  that  

will  engage  students  in  thinking  and  reasoning.  

 

You  may  find  the  following  questions  taken  from  the  PRIMAS  PD  materials  useful.  www.primas-­‐project.eu  

 

   

 

• How  will  you  organise  the  classroom?  

• How  will  you  introduce  the  questioning  session?  

• Which  ground  rules  will  you  establish?  

• What  will  be  your  first  question?  

• How  will  you  give  time  for  students  to  think  before  responding?  

• Will  you  need  to  intervene  at  some  point  to  refocus  or  discuss  different  strategies  that  they  are  using?  

• What  questions  will  you  use  in  the  plenary  discussion?    

 

6   Teaching  and  Learning  Mathematics  through  Inquiry    

PLANNING  FOR  EFFECTIVE  QUESTIONING    

The  table  below  is  taken  from  the  PRIMAS  PD  materials  available  online:  www.primas-­‐project.eu  

Plan  how  you  will  arrange  the  room  and  the  resources  needed  

Arrange  students  so  that  they  can  see  and  hear  one  another  as  well  as  the  teacher.  You  may  need  to  rearrange  chairs  in  a  U  shape  or  the  students  could  move  and  ‘perch’  closer  together.  Or  maybe  you  will  move  to  the  back  of  the  room  so  that  the  question  is  the  focus  of  attention  and  not  the  teacher.  

Plan  how  you  will  introduce  the  questioning  

session  

Silence  will  be  hard  for  you  to  bear  in  the  classroom  but  the  students  may  find  it  confusing  or  even  threatening.    

Explain  why  there  will  be  times  of  quiet.  For  example:    

Plan  how  you  will  establish  the  ground  rules  

 

If  you  are  using  ‘No  hands  up’  then  you  will  need  to  explain  this  to  the  students.  Some  teachers  have  had  to  ask  their  students  to  sit  on  their  hands  so  that  they  remember  not  to  put  their  hands  up.  The  students  will  be  allowed  to  put  their  hands  up  to  ask  a  question,  so  if  a  hand  shoots  up  remember  to  ask  them  what  question  they  would  like  to  ask.  The  students  may  also  be  used  to  giving  short  answers  so  you  could  introduce  a  minimum  length  rule  e.g.  ‘your  answer  must  be  five  words  in  length  as  a  minimum’.    

Plan  the  first  question  that  you  will  use  

 

Plan  the  first  question  and  think  about  how  you  will  continue.  You  cannot  plan  this  exactly  as  it  will  depend  on  the  answers  that  the  students  give  but  you  might,  for  example,  plan  to  take  

• One  answer  and  then  ask  others  what  they  think  about  the  reasoning  given  

• Two  or  three  answers  without  comment  then  ask  the  next  person  to  say  what  is  similar  or  different  about  those  answers    

Plan  how  you  will  give  

thinking  time  

• Will  you  allow  3-­‐5  seconds  between  asking  a  question  and  expecting  an  answer?  

• Will  you  ask  the  students  to  think  –  pair  –  share,  giving  30  seconds  for  talking  to  a  partner  before  offering  an  idea  in  whole  class  discussion?  

• Will  you  use  another  strategy  that  allows  the  students  time  to  think?  

Plan  how  and  when  you  will  intervene  

Will  you  need  to  intervene  at  some  point  to  refocus  students'  attention  or  discuss  different  strategies  they  are  using?  Have  one  or  two  questions  ready  to  ask  part  way  through  the  lesson  to  check  on  their  progress  and  their  learning.  

Plan  what  questions  you  could  use  for  the  plenary  at  the  

end  of  the  lesson  

Try  not  to  pass  judgments  on  their  responses  while  they  do  this  or  this  may  influence  subsequent  contributions.  

     

Teaching  and  Learning  Mathematics  through  Inquiry   7    

PLANNING  FOR  EFFECTIVE  QUESTIONING      

Source:  Training  materials  for  the  foundation  subjects  –  Module  4:  Questioning  http://teachertools.londongt.org/en-­‐GB/resources/Ks3_module_questioning.pdf  

 Why  is  questioning  important?  

• Questions   are   the   most   common   form   of   interaction   between   teachers   and  students  in  whole-­‐class  lessons  as  well  as  in  group  and  individual  work.    

• Questioning   is   a   key  method   of   altering   the   level   of   challenge   provided   and  determining  the  progress  made  in  lessons.    

• It   is  an   immediate  way  for  the  teacher  to  check  the  effectiveness  of   teaching  and  thus  to  assess  learning.  

The  purposes  of  questioning    

• To   prompt   students’   interest   and   to   challenge   students   to   create   new  understandings.    

• To  develop   thinking   from   the   concrete   and   factual   to   the   analytical   and   the  evaluative.    

• To  check  prior  knowledge  and  assess  students  on  the  key  issues.    

• To   promote   reasoning,   problem   solving,   evaluation   and   the   formulation   of  hypotheses.    

What  is  effective  questioning?    

• It  is  closely  linked  to  the  learning  objectives  in  the  lesson.    

• It   is   staged   so   that   the   level   of   challenge   in   the   lesson  may   be   increased   to  match  students’  potential.    

• Group   and   paired   work   can   allow   questions   to   be   matched   to   the   level   of  challenge  needed  to  move  different  students  forward.    

• Closed  questions  check  students’  knowledge  and  understanding.    

• Open  questions  have  more   than  one  possible  answer.  A  well-­‐designed  set  of  questions   leads   students   from   unsorted   knowledge   to   organised  understanding.  It  models  how  learning  evolves.    

• Effective   questioning   provides   opportunities   for   students   to   ask   their   own  questions,  to  seek  their  own  answers  and  to  provide  feedback  to  each  other.    

• Effective   questioning   makes   space   for   students   to   listen   to   each   other’s  questions  and  answers  as  well  as  to  the  teacher’s.    

• Effective   questioning   requires   an   atmosphere   where   students   feel   secure  enough  to  take  risks  or  be  tentative.    

8   Teaching  and  Learning  Mathematics  through  Inquiry    

GUIDELINES  FOR  EFFECTIVE  QUESTIONING      1. Planning  for  questioning    

Plan  examples  of  effective  questions  and  include  them  in  lesson  planning.     Focus   on   questions   that   engage   students   in   thinking,   reasoning   and  

justification.    

Ensure  that  key  questions  are  answered  by  the  lesson.  The  plenary  can  then  be  based  on  these  questions.    

Ensure  that  there  is  a  balance  between  asking  and  telling.      2. Asking  open/divergent  questions    

Make  sure  the  question  has  more  than  one  possible  answer.    

Don’t  have  a  single  ‘right’  answer  in  your  head  that  students  have  to  get  to!    Follow   up   answers   with   words   and   phrases   like   ‘Explain’,   ‘Why?’,   ‘What  makes   you   think   that?’   and   ‘Tell   me   more’,   to   provide   greater   challenge,  encourage  speaking  at  greater   length  and  get  students   thinking  around  the  question  in  greater  depth.    

Encourage  students  to  ask  their  own  questions.    Use   techniques   such  as:   ‘What  do  you  already  know  about...?  What  do  you  want  to  know?  How  will  you  find  out?’    

 3. Questioning  for  collaborative  work    

Begin  a  lesson  by  giving  pairs  of  students  a  question  to  answer  from  the  last  lesson.    Ask  pairs  to  discuss  a  question  for  a  minute  before  they  answer  it.    

Bounce   off   responses   from   one   student   to   another   so   that   students   may  themselves  evaluate  and  build  on  the  ideas  of  others.  Create   an   environment   of   trust   where   students’   opinions   and   ideas   are  valued.    

 

4. Using  questioning  in  your  class  

Give   students   time   to  answer  –   count  a   few  seconds   in  your  head   to  allow  slower  students  to  form  a  response.    Use   a   ‘no   hands   up’   approach   to   eliminate   competitiveness   and   support  those  students  who  usually  need  more  time  to  think.  Involve  all  the  students.  

Allow   students   time   to   think   about   answers   to   more   complex   questions,  either  individually  or  collaboratively.    Encourage  students  to  seek  answers  to  their  own  questions.    

Treat  answers  with  respect  and  give  students  credit  for  trying.    

Teaching  and  Learning  Mathematics  through  Inquiry   9    

ALTERNATIVES  TO  QUESTIONING      

Source:  Training  materials  for  the  foundation  subjects  –  Module  4:  Questioning  http://teachertools.londongt.org/en-­‐GB/resources/Ks3_module_questioning.pdf  

 

Alternative  strategy   Example  

INVITE  PUPILS  TO  ELABORATE  

Would  you  say  a  little  more  about  that?  

I  am  not  sure  I  understand  what  you  mean  by  that.  

SPECULATE  ABOUT  THE  SUBJECT  UNDER  DISCUSSION   What  if...?  

MAKE  A  SUGGESTION   You  could  try...  

REFLECT  ON  THE  TOPIC   Let’s  bring  this  all  our  ideas  together...  

REINFORCE  USEFUL  SUGGESTIONS   I  especially  liked...  because...  

CLARIFY  IDEAS   Can  you  elaborate  a  bit  on  what  you  have  just  said  about…?  

CORRECT  ME  IF  I’M  WRONG   Am  I  right  in  saying  that...?  

ECHO  COMMENTS/SUMMARIZE  So,  you  think…    

Alex  seems  to  be  saying  that…  

NON-­‐VERBAL  INTERVENTIONS  Eye  contact,  a  nod  or  raised  eyebrows  to  encourage  extended  responses,  to  challenge  or  even  to  express  surprise