inquiry maths ann macdonald andrew blair (longhill high school, brighton & hove) inquiry maths
TRANSCRIPT
Inquiry Maths
Ann MacdonaldAndrew Blair
(Longhill High School, Brighton & Hove)
www.inquirymaths.com
Inquiry Maths
• What is inquiry maths?• How do you get started?• How do you set (co-
construct) success criteria?
Aims of session
Inquiry Maths
• Problem solving is rarely integral to learning; instead, tended to be an activity that occurred towards the end of topic – did not place students in position of thinking deeply about how to solve the problem (69) or of drawing on their previous knowledge, and grappling with applying it in a new, unusual or complex context. (71)
• In the best schools, topics are introduced by presenting a suitable problem and inviting students to use knowledge in innovative ways. (103)
Why Inquiry Maths?Made to Measure (2012)
Inquiry Maths
Inquiry Maths
Why Inquiry Maths?PRIMAS survey of inquiry-based teaching in the EU
Preconception of IBL compared with use of IBLORI: orientation towards IBLROU: routine use of IBLKND: IBL requires extensive content knowledgeMOT: IBL motivates students(strongly 1: disagree, 2: disagree, 3: agree, 4: strongly agree)
Metacognition
Declarative knowledge of:
• yourself as a thinker
• academic tasks• strategies to perform a task.
Procedural knowledge:
• monitoring strategic
decisions• regulating
thinking.
Inquiry Maths
Vygotsky
Students learn to regulate their own
thinking when their behaviour is regulated
by collaborators in social activity and when
they regulate the thinking of others.
Inquiry Maths
Getting started with inquiry
Inquiry Maths
• Will all students learn (make progress)?• Will the students be challenged?• Will the students be engaged?• Will the students choose their regulatory card
for the ‘wrong’ reason?• How does an inquiry lesson meet the school’s
requirements re: learning objectives?
Getting started with inquiry
Inquiry Maths
• Students’ fractions assessments showed good progress – lower ability students did better then expected.
• Algebraic fractions were explored by some students.
• I am learning how to monitor choices. • Increased engagement.• Lesson study into establishing success criteria.
• Students should write down any questions that occur to them during feedback session rather than interject.
• Have resources ready in case students decide they need to consolidate a skill.
• Don’t worry if students cannot suggest possible ways to move forward initially.
• Remember an inquiry is not the same as an investigation. Be prepared for the lesson to go in a different direction than you may have predicted.
• Prepare to extend (or cut short) the time allocated for the inquiry depending on the class’s response.
Inquiry Maths
Your first inquiry
Establishing success criteria
Inquiry Maths
Lesson objective • Reasoning during inquiry: notice,
conjecture, reason, generalise, prove.• Specific mathematical procedure.• Suggest concepts that link to prompt.
Independent inquirers• Aims teacher structure, teacher guidance,
co-constructed, independent.
OfSTED reports
Inquiry maths
Learning Discrete skills Conceptual understanding
Activity Repetitive practice
Regulating and reflecting
Communicating Teacher funnelling Collaborative discussion
Thinking Routine application
(Re)solving conjectures and
questions
Inquiry Maths
Planning an INQUIRY: phases(a) Orientation to the prompt(b) Establishing aims and planning actions(c) Exploration(d) Teacher exposition(e) Solving(f) Presenting results(g) Reflecting and evaluating
Inquiry Maths