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The Knowledge Quartet

The Knowledge Quartet

a theoretical framework for the analysis and development of mathematics teaching

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Operations

MCP: Scenario 2

Scenario: Jess teaching about the relationship between multiplication and division within the context of a lesson about solving word problems Country: UK Grade (student age): Year 5 (age 9-10) Contributed by: Fay Turner, University of Cambridge, UK Context – national,

KQ Team November 11, 2012January 26, 2024 Making connections between procedures Read more

AC: Scenario 2

Scenario: Chloe teaching strategies for subtracting 9, 11, 19 and 21 Country: UK Grade (student age): Year 1/2 (age 5-7) Contributed by: Fay Turner, University of Cambridge, UK Context – national, curricular, professional, other Chloe was a student teacher in

KQ Team September 11, 2012January 26, 2024 Anticipation of complexity No Comments Read more

UIM: Scenario 3

Scenario: Christiana’s teaching multiplication by powers of ten Country: Cyprus Grade (student age): Year 4 (age 9-10) Contributed by: Marilena Petrou Context – national, curricular, professional, other In Cyprus textbooks are used on a daily basis in the classroom, and

KQ Team September 10, 2012January 26, 2024 Use of instructional materials No Comments Read more

OSK: Scenario 2

Scenario: Mirella teaching two-digit divisions by invariantive law Country: Italy Grade (student age): Year 3 (age 7-8) Contributed by: Marco Bardelli, University of Padova, Italy Context – public primary school, national curriculum In Italy two-digit divisions is a topic that

KQ Team August 10, 2012January 26, 2024 Overt display of subject knowledge No Comments Read more

CUE: Scenario 5

Scenario: Suzy teaching multiplication methods Country: UK Grade (student age): Year 5 (age 9-10) Contributed by: Ray Huntley, Brunel University, UK Context – national, curricular, professional, other Suzy was reviewing ideas about multiplication of tens and hundreds with her class, before

KQ Team June 14, 2012January 26, 2024 Choice of examples No Comments Read more

RAT: Scenario 3

Scenario: Chloe teaching a mental arithmetic strategy Country: UK Grade (student age): Year 1/2 (age 5-7) Contributed by: Tim Rowland, University of Cambridge, UK Context – national, curricular, professional, other At the time when this lesson was recorded, mathematics in

KQ Team June 10, 2012January 26, 2024 Responding to the (un)availability of tools and resources No Comments Read more
  • Foundation (17)
    • Theoretical underpinning of pedagogy (4)
    • Awareness of purpose (3)
    • Identifying pupil errors (1)
    • Overt display of subject knowledge (2)
    • Use of mathematical terminology (2)
    • Adherence to textbook (3)
    • Concentration on procedures (2)
  • Transformation (15)
    • Teacher demonstration (2)
    • Use of instructional materials (4)
    • Choice of representations (3)
    • Choice of examples (6)
  • Connection (9)
    • Making connections between procedures (3)
    • Making connections between concepts (1)
    • Anticipation of complexity (3)
    • Decisions about sequencing (1)
    • Recognition of conceptual appropriateness (1)
  • Contingency (12)
    • Responding to students' ideas (6)
    • Deviation from lesson agenda (1)
    • Teacher insight (1)
    • Responding to the (un)availability of tools and resources (4)
  • Uncategorized (5)

Tags

Counting (1) Cyprus (5) Data (1) Fractions (8) Geometry (1) Ireland (2) Italy (2) Norway (6) Operations (6) Percentages (2) Problem Solving (2) Reception/Kindergarten (1) Secondary (5) Turkey (1) UK (14) USA (3)
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