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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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Author: KQ Team

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

ATB: Scenario 1

Scenario: Holly teaching probability 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 Carolina has state mandated goals

KQ Team June 14, 2012January 26, 2024 Adherence to textbook No Comments Read more

ATB: Scenario 2

Scenario: Eoin revising perimeter and area concepts Country: Ireland Grade (student age): 6th class (age 11-12 years) Contributed by: Dolores Corcoran, St Patrick’s College, Drumcondra, Ireland Context – national, curricular, professional, other While espousing a reform approach with the mandated

KQ Team June 13, 2012January 26, 2024 Adherence to textbook 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

COP: Scenario 1

Scenario: Maeve discussing the use of formal standard algorithms Country: UK Grade (student age): Pre-service teacher Contributed by: Gwen Ineson, Brunel University, UK Context – professional The session described below took place in week five of a one year postgraduate

KQ Team May 13, 2012January 26, 2024 Concentration on procedures No Comments Read more

COP: Scenario 2

Scenario: Eleanor discussing approaches to helping pupils solve a multiplication problem Country: UK Grade (student age): Primary Contributed by: Gwen Ineson, Brunel University, UK Context – professional Eleanor was at the end of her one year graduate pre-service teacher training

KQ Team May 10, 2012January 26, 2024 Concentration on procedures 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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