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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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Transformation

CUE: Scenario 1

Scenario: Alice teaching nth term of linear sequences Country: UK Grade (student age): Year 10 (age 14-15) Contributed by: Nicola Bretscher, King’s College London, UK Context –curricular, professional, other Alice was an experienced mathematics teacher, working at a private girls’

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

CUE: Scenario 2

KNOWLEDGE QUARTET CODING MANUAL Scenario: McKenzie teaching problem solving Country: USA Grade (student age): Grade 4 (age 9-10) Contributed by: Tracy Weston, The University of Alabama, USA Context –curricular, professional, other As is the case in the United States, North

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

CUE: Scenario 3

Scenario: Solving problems using Schema-Based Instruction Country: Cyprus Grade (student age): Year 5 (age 10-11) Contributed by: Marilena Petrou Context – national, curricular, professional, other Schema-Based Instruction aims to develop students’ understanding of the basic relations found in arithmetic word

KQ Team July 11, 2012January 26, 2024 Choice of examples No Comments Read more

CUE: Scenario 4

Scenario: Naomi teaching multiplication Country: UK Grade (student age): Year 4 (age 8-9) Contributed by: Ray Huntley, Brunel University, UK Context – national, curricular, professional, other Naomi was an undergraduate pre-service teacher, and the lesson took place in a school-based

KQ Team July 10, 2012January 26, 2024 Choice of examples 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
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  • 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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